Advanced Corporate Finance II Finance & Investments · Term 3
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Finance & Investments · Term 3

Advanced Corporate Finance II

A comprehensive interactive Course covering M&A, derivatives, private equity, and capital markets. Each session maps to your readings, cases, and simulators - built for MCQ exam success.

12 Sessions 5 Case Studies MCQ Focus 33 Formula Drills 4 Mock Exams
12Sessions
5Case Studies
105Mock Questions
33Formula Drills

Course Sessions

12 Sessions · 3 Modules
Reading
Session 01

The M&A Process

Mergers vs acquisitions, deal valuation, synergies, risk arbitrage & deal structure

1
Case
Session 02

Tesla / SolarCity

Related-party acquisition, minority squeeze-out & fiduciary duty under scrutiny

2
Case
Session 03

LVMH / Tiffany

Cross-border hostile acquisition, COVID deal renegotiation & brand premium valuation

3
Case
Session 03B

Paramount / WBD

$110B media mega-merger, LBO-style financing, streaming consolidation & synergy justification

3B
Reading
Session 04

Valuation & EPS Accretion

Business valuation in M&A, accretion / dilution framework, merger math

4
Case
Session 06

M&A in the Wine Country

Synergy valuation exercise in a mid-market wine industry acquisition

6
Reading
Session 07

Convertibles & Asset-Backed Securities

Convertible bonds & preferred, CB pricing & arbitrage, Asset-Backed Securities, CDOs, CDS & Basel II

7
Reading
Session 08

Financial Options

Black-Scholes, put-call parity, real options & corporate finance applications

8
Case + Reading
Session 09

Hedging & Pixonix Case

Forwards, futures & FX risk management; Pixonix currency exposure case

9
Reading
Session 10

PE Funds & Venture Finance

LP/GP fund structure, carried interest, venture debt & entrepreneurial financing

10
Case + Reading
Session 11

Twitter Deal & M&A Types

Elon Musk's $44B LBO, six types of successful acquisitions framework

11
Reading
Session 12

LBOs & Late-Stage Valuation

LBO mechanics, returns analysis, entry/exit multiples & late-stage company valuation

12
Reading + Cases
Session 14

IPOs & PE Exits

IPO process, direct listing (Spotify), Facebook IPO, PE exit routes

14
Session 1 · Core Reading

The Mergers & Acquisitions Process

M&A is the largest discretionary investment most firms ever make. This session builds the vocabulary and the core valuation identity the rest of the course rests on: a deal creates value only when the synergies it unlocks exceed the premium paid for them.

Synergy Valuation Deal Architecture NPV = Syn − Prem Exam Focus
44.6%Avg Strategic Premium
27.6%Avg Financial Premium
29%PE Share of Deals
2.5%Typical Break Fee

Chapter Sections

4 Sub-pages
Section A

Acquirer Types & Synergy Families

Strategic vs financial acquirers, operating vs financial synergies, the value of control, and why acquirers overpay.

A
Section B

Deal Architecture

Three structural decisions every deal must make: legal form, payment currency, and price mechanism.

B
Section C

Value Creation Identity

NPV = Synergy − Premium. The single most important result in M&A, plus DCF valuation, multiples, and risk arbitrage.

C
Section D

Practice & Quiz

Worked problems and 15 MCQ questions covering the full M&A process.

D
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Chapter summary: M&A is value-creation under a budget constraint: NPV = Synergy − Premium. Acquirers are strategic (synergy-driven) or financial (control- and leverage-driven). Deals differ in structure (asset/stock/merger), currency (cash vs stock), and price. Synergy is the PV of incremental cash flows; the value of control is what better management is worth. Keep the central caution in mind: most synergy is often paid away in the premium.
Session 1A

Acquirer Types & Synergy Families

Whether a transaction is called a merger or an acquisition depends on deal characteristics, not on a strict legal line. The two buyer types - strategic and financial - value targets differently, pay differently, and create value through entirely different mechanisms.

Mergers vs. Acquisitions - Core Definitions

An acquisition occurs when one company (usually the larger) buys the stock or assets of a target (usually smaller) and either integrates it or keeps it as a stand-alone subsidiary. Most M&A transactions are acquisitions. A merger of equals occurs when two firms of roughly equal size combine into a new company: both sets of existing shares are surrendered and new shares in the combined entity are issued.

The difference between the two is often how the deal is communicated, not how it is legally structured. Mergers signal cooperation and equality; acquisitions signal that one party is in control. Deals are sometimes legally structured as mergers even when most observers call them acquisitions.

ConceptAcquisitionMerger of Equals
Relative sizeLarger buys smallerSimilar size
Share treatmentTarget shares bought outBoth surrender shares; new shares issued
PerceptionOne party in chargeCooperative; new identity
Common exampleGoogle acquiring YouTubeDow + DuPont, AOL + Time Warner
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Exam trap: Don’t confuse a “merger of equals” with any friendly deal - it specifically requires comparable size and new share issuance by both firms. An inversion (smaller company technically acquires larger to shift tax domicile) is legally an acquisition but may be perceived as a merger.
Strategic vs. Financial Acquirers

Two very different buyers compete for targets, and they value them differently. Understanding which type of acquirer is involved is the first question to ask in any deal analysis, because it determines the source of value creation and the ceiling on price.

Strategic Acquirers Operating companies that buy a firm (or its assets) to achieve operational improvements. They create value mainly through synergies: shared infrastructure, cross-selling, pricing power, eliminated overhead. They pay using cash, stock, or deal-specific financing. Average premium paid: ~44.6%.
Financial Acquirers Private-equity firms and other financial sponsors who buy, improve and resell the target in roughly 3–7 years at a higher value. They create value through the value of control (operational improvement) and through leverage (using the target’s debt capacity in an LBO). Average premium paid: ~27.6%.
DimensionStrategic AcquirerFinancial Acquirer (PE)
Primary motiveOperational synergies & growthFinancial returns via leverage + efficiency
Deal currencyCash, stock, or mixed100% cash (then leveraged)
Target integrationOften fully integratedStand-alone; new management
Average premium paid~44.6%~27.6%
Hold periodPermanent (strategic)3–7 years (exit via IPO/sale)
Synergy sourceCost + revenue synergiesOperational efficiency + financial engineering
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Why do strategic buyers pay more? Because they can realise synergies that a financial buyer cannot. The synergy pool justifies a higher premium - but only up to the PV of those synergies. If a strategic buyer pays $1.5B for a target worth $1B standalone, the $500M premium is justified only if the synergies exceed $500M.
The Two Families of Synergy

Synergy is the additional value created when two firms combine - the combined firm is worth more than the sum of the parts. It splits into two families, and the distinction matters because they carry different risk and therefore require different discount rates.

Operating Synergies Raise operating income or growth: (1) economies of scale (lower unit costs), (2) greater pricing power (less competition, higher margins), (3) combination of functional strengths (e.g. strong marketing meets a strong product line), and (4) higher growth in new or existing markets.
Financial Synergies Improve cash flows or lower the cost of capital: (1) cash slack (a cash-rich firm funds a cash-poor firm’s good projects), (2) tax benefits (combined taxes below the sum of stand-alone taxes), and (3) added debt capacity (the combined firm can borrow more cheaply than either alone).

Beyond synergy, the classic motives for an acquisition include: undervaluation (buying a firm trading below true value), diversification (stabilising earnings - generally value-destroying for already-diversified shareholders), control (taking over a poorly managed firm and restructuring it), and managerial self-interest and hubris (the unstated driver of many deals).

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Value of control: Vfirm, restructured − Vfirm, status quo. It is large for a poorly managed firm operating below its potential and negligible for a firm already run at or near its optimum. This is the value a financial acquirer or activist seeks to unlock.
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Cost synergies are more reliable (acquirer controls headcount, facilities, procurement) and should be discounted at a lower rate. Revenue synergies are less reliable (customer/competitor dependent) and must be discounted at a higher rate. Empirically, cost synergies are achieved ~60–70% of the time; revenue synergies only ~25–35%.
M&A Transaction Waves

M&A activity comes in waves driven by economic conditions, credit availability, and regulatory shifts. Understanding the wave pattern is useful for context - deals announced during peak activity (late 1990s, 2006–07) tend to be more aggressive and more likely to overpay.

M&A Transaction Waves - Number & Value, 1985–2015
Session 1B

Deal Architecture: Structure, Currency & Price

Every M&A negotiation settles three things: the legal form of the transaction, what the acquirer uses to pay, and whether the price is fixed or adjustable. Each decision carries risk, tax, control, and signalling consequences.

Deal Structure - Three Legal Forms

The legal form determines what transfers (assets vs entity), who must approve (board vs shareholders), and what liabilities the acquirer inherits. The choice is driven by tax efficiency, liability containment, and deal complexity.

FormMechanicsKey CharacteristicWhen Used
Asset PurchaseAcquirer buys selected assets and optionally liabilities. Target entity survives.Cherry-pick assets, leave unwanted liabilities. Step-up in asset basis = tax benefit.Distressed targets; carve-outs; unknown liabilities.
Stock PurchaseAcquirer buys 100% of target shares. Target becomes subsidiary.All assets AND liabilities transfer automatically. Simpler execution.Most public company acquisitions.
Statutory MergerBoth entities merge under statute. Target ceases to exist.Requires shareholder vote. Dissenters have appraisal rights.Most common form for large public M&A.
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Triangular mergers are the most common variant. In a reverse triangular merger, the target survives as a subsidiary of the acquirer (preserves contracts and licences). In a forward triangular merger, the target is absorbed into the subsidiary. A two-step merger - tender offer followed by a clean-up merger - is the standard route to fully absorb a public company.
Deal Currency - Cash vs Stock

The choice of payment currency is itself an information signal and a risk-sharing decision. It tells the market something about how the acquirer’s management views its own stock price.

Cash DealStock Deal
Used whenAcquirer believes its stock is undervaluedAcquirer believes its stock is fairly or overvalued
Target getsCertainty; no synergy upside; taxable eventShares in the combined firm; shares risk and synergy; tax-deferred
Acquirer impactNo dilution; requires financingDilutive; no cash outflow
Market signalConfidence (willing to pay real dollars)Possible overvaluation signal
What to valueOnly the target (standalone + synergies)Both firms, the synergies, and the exchange ratio
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Stock deal signalling trap: When acquirers use stock, markets often interpret it as management signalling the shares are overvalued - “why give away expensive shares?” This is why acquirer stocks fall more on stock deal announcements than cash deals.
Deal Price - Fixed, Floating, Collars & Earnouts

One of the most overlooked deal decisions: is the price locked in at announcement, or can it change? This determines who bears price risk between signing and closing.

MechanismHow It WorksWho Bears Risk
Fixed cash priceDollar amount per share locked at signingAcquirer (if target appreciates); Target (if market rises above deal price)
Fixed exchange ratioShares of acquirer per target share, lockedBoth parties share; dollar value floats with acquirer stock
Floating exchange ratioRatio adjusts to deliver a fixed dollar valueAcquirer (bears dilution risk if own stock falls)
CollarExchange ratio floats within a band; fixed outside itShared within band; defined party outside
EarnoutPortion of price contingent on post-deal performanceTarget bears performance risk; acquirer limits overpayment
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Break fee (termination fee): Paid by the target to the initial bidder if a topping bid emerges and is accepted. Typically 2.5% of deal value (cash) or 3.5% (stock). Reverse break fee: Paid by the acquirer if it fails to close (e.g., financing failure, regulatory block). Example: Musk’s $1B reverse break fee in the Twitter deal.
The Sales Process & Regulation
Process TypeDescriptionFrequency
Bidder-InitiatedAcquirer approaches target directly; may become hostile if rejected15%
Exclusive NegotiationTarget selects one buyer; confidential one-on-one42.5%
Closed AuctionTarget runs controlled process; multiple rounds, limited bidders42.5%

Open auctions are rare in M&A because they require sharing confidential business information with competitors. Closed auctions balance competitive bidding with confidentiality. US securities law means that even “exclusive” deals are effectively open - topping bids are always possible while the deal is pending regulatory and shareholder approval.

Session 1C

The Value Creation Identity

This is the single most important result in the M&A block. For any acquisition, value is created only when the synergies captured exceed the premium paid. Everything else in this course - DCF, APV, multiples, exchange ratios - exists to put numbers on this identity.

NPV = Synergy − Premium

For a cash acquisition of target B by acquirer A, the acquirer pays the target’s stand-alone value plus a premium; in return it receives the target’s value plus the synergies. It keeps value only to the extent that the synergies it captures exceed the premium it hands over to the seller.

Synergy = VAB − (VA + VB) VAB = value of combined firm with synergies; VA = acquirer stand-alone value; VB = target stand-alone value Premium = Price paid for B − VB Price paid for B = total consideration (cash or stock value) delivered to target shareholders NPV to Acquirer = Synergy − Premium = VAB − VA − Price paid for B Positive NPV = deal creates value for acquirer; Negative NPV = acquirer overpaid relative to synergies captured
Worked Example - NPV of a Merger Acquirer A is worth $800M and target B is worth $300M stand-alone. Combined with synergies, the firms are worth $1,250M. A pays $380M in cash. Synergy = $1,250M − ($800M + $300M) = $150M Premium = $380M − $300M = $80M NPV to A = $150M − $80M = +$70M Value-creating: the $150M synergy exceeds the $80M premium. B’s shareholders capture $80M of the $150M synergy pool (53%) - consistent with the empirical finding that most synergy flows to the target.
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A large premium is not automatically a bad deal. What matters is the premium relative to the synergies the acquirer can actually capture. Empirically, much of the synergy is handed to the target’s shareholders through the premium - which is why acquirers so often earn a zero or negative NPV while targets earn a large positive return.
Valuing Synergy - The DCF Approach

Synergy is valued by discounting the incremental cash flows the combination produces. The procedure: value each firm stand-alone at its own WACC; add them to get the combined value without synergy; re-value the combined firm with synergy (higher growth/cash flows); the difference is the synergy.

DCF Value of Synergy = ΣTt=1 [ΔCFt / (1 + r)t] ΔCFt = incremental cash flow from combination in year t = ΔRevenuet − ΔCostst − ΔTaxest − ΔCapitalt r = appropriate discount rate for synergy risk (lower for cost synergies, higher for revenue synergies) T = projection horizon; a terminal value captures synergies beyond year T
Deal Value = Stand-Alone Value + PV(Synergies) − PV(Transaction Costs) − PV(Integration Costs) Max Premium ≤ PV(Synergies) − PV(Deal Costs) Transaction costs (banker/legal fees) are nearly certain → discount at risk-free rate Cost synergies (headcount, facilities) are acquirer-controlled → discount at target’s risk rate Revenue synergies (cross-sell, pricing power) are customer/competitor dependent → discount at higher rate
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Which WACC to use: The target should be discounted at the target’s own WACC (reflecting the target’s risk and capital structure), not the acquirer’s WACC. The two may differ significantly.
The Map of Valuation Methods

All valuation reduces to three approaches. On the exam, equity value is reached two ways: top-down from market prices / multiples, or bottom-up from firm value (DCF or APV) minus net debt.

ApproachMethodsAdvantagesLimitations
IntrinsicDCF (WACC), APVCaptures synergies explicitly; deal-specificRequires projections; sensitive to assumptions
RelativeComparable companies, Precedent transactionsMarket-based; no projections for compsComps don’t include control premium; precedents may not transfer
Contingent-claimReal options (Session 8)Captures value of flexibilityComplex; hard to calibrate inputs
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Comparable companies use trading multiples of similar public firms (no control premium). Precedent transactions use multiples paid in prior deals - these embed a control premium and so usually give higher values. Keep numerator and denominator consistent: equity values (price, market cap) pair with equity flows (NI, book equity); enterprise values pair with pre-financing flows (EBIT, EBITDA, sales).
EPS Accretion & Dilution

Public-company managers are scored on EPS, so they care whether a deal raises (accretive) or lowers (dilutive) pro-forma EPS. But accretion and dilution measure only the short-run earnings effect - they say nothing about NPV.

Pro-Forma EPS = (NIA + NIB + After-tax Synergies − After-tax New Interest) / (SharesA + New Shares to B) NIA = acquirer net income; NIB = target net income; New Shares to B = shares issued to target shareholders in a stock deal After-tax New Interest = interest on new debt raised for a cash deal × (1 − t) Quick Rule (all-stock, no synergies): Accretive if Acquirer P/E > P/E paid for target; Dilutive if lower
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Accretive ≠ good; dilutive ≠ bad. Accretive bad deals buy low-P/E targets that are cheap for a reason (risky, no growth) - EPS rises but value can fall. Dilutive good deals buy high-P/E, high-growth targets - EPS falls now but value rises later. Always judge value by NPV, not by EPS.
Risk Arbitrage & Deal Completion Risk
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Risk arbitrage (merger arb): A trading strategy where arbitrageurs buy the target’s shares after a deal announcement at a discount to the deal price, profiting if the deal closes. The spread compensates for deal completion risk.
Arb Spread = Deal Price − Current Target Market Price Arb Return = Arb Spread / Current Target Price × (365 / Days to Close) The spread exists because of deal completion risk: regulatory block, financing failure, MAC clause, topping bid Expected Return = P(close) × Arb Spread − P(fail) × (Pre-Announcement Price − Current Price) P(close) = probability the deal closes; P(fail) = 1 − P(close)
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If a deal fails: the target stock typically falls sharply back toward its pre-announcement price. Merger arb is not “risk-free” arbitrage - the downside if a deal breaks can be multiples of the upside spread.

Interactive Simulator

EPS Accretion / Dilution
Merger EPS Accretion / Dilution Calculator
Adjust the inputs below to see how deal size, currency mix, and relative P/E ratios drive pro forma EPS impact.
20.0×
30%
50%
25.0×
5.0%
$5.00Acquirer EPS
-Pro Forma EPS
-Accretion / Dilution
-New Shares Issued (M)
Session 1D

Practice Problems & Quiz

Work each problem on paper before revealing the solution. These cover every formula from this chapter. Then test yourself with the 15 MCQ questions below.

Worked Problems

3 Problems
Problem 1 - NPV of a Merger (Medium)
Problem MedTech Corp ($2.5B stand-alone) is bidding $900M in cash for DiagnosCo ($650M stand-alone). Analysts estimate combined value with synergies = $3.6B. Calculate synergy, premium, and NPV to MedTech. Is this a good deal?
Solution Synergy = VAB − (VA + VB) = $3,600M − ($2,500M + $650M) = $450M Premium = Price − VB = $900M − $650M = $250M NPV = Synergy − Premium = $450M − $250M = +$200M Value-creating: MedTech captures $200M of net value. DiagnosCo shareholders receive $250M of the $450M synergy pool (56%) through the premium - consistent with the empirical norm.
Problem 2 - Break-Even Synergy (Hard)
Problem An acquirer pays $1.4B for a target worth $1.0B standalone. The acquirer’s cost of capital for synergy risk is 9%, and synergies are expected to grow at 2% forever. What minimum annual synergy is required for the deal to break even?
Solution Premium = $1.4B − $1.0B = $400M For NPV = 0: PV(synergy) must equal the premium. Using the growing perpetuity: $400M = ΔCF1 / (r − g) = ΔCF1 / (0.09 − 0.02) ΔCF1 = $400M × 0.07 = $28M/year minimum The acquirer needs at least $28M/year in after-tax incremental cash flows to justify the premium. If synergies come in below $28M, the deal destroys value regardless of how “strategic” it appears.
Problem 3 - Cash vs Stock Signalling (Easy)
Problem Firm X (stock at $80, true intrinsic value $60) can buy target Y for $500M. Should X pay in cash or stock? If X uses stock at $80/share, how many shares does it issue and what is the real cost?
Solution X should prefer stock - its shares are overvalued ($80 market vs $60 intrinsic). Shares issued at market price: $500M / $80 = 6.25M shares Real cost: 6.25M × $60 intrinsic = $375M in real value X effectively pays $375M for a $500M deal - saving $125M by using overpriced currency. This is why acquirers tend to use stock when overvalued and cash when undervalued. The market knows this, which is why stock deal announcements often trigger negative acquirer returns - the market infers overvaluation.

Session 1 Quiz

15 Questions
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15 MCQ questions covering the M&A process, synergy valuation, deal structure, and risk arbitrage. Click an answer to check it immediately.
Session 2 · Concepts via Tesla/SolarCity

Related-Party M&A & Fiduciary Duty

When a controlling shareholder sits on both sides of a transaction, standard governance protections break down. This session teaches the legal standards that apply, how to build a market value balance sheet for merger math, and how to read the market’s verdict on deal quality from price reactions across asset classes.

Entire Fairness Market Value BS Premium Calculation Exam Focus
BJR vs EFTwo Legal Standards
MVENot Book Equity
Stock ↓ + Debt ↑= Bailout Signal
51%Razor-Thin Majority

Chapter Sections

4 Sub-pages
Section A

Fiduciary Duty: BJR vs Entire Fairness

When boards get deference and when they face heightened scrutiny. The controlling-shareholder trigger.

A
Section B

Market Value Balance Sheets & Premium

Building MVE from share prices, combining firms, calculating post-merger share price and premium.

B
Section C

Market Reaction & Stakeholder Impact

Reading the market’s verdict from acquirer stock, target stock, and target debt reactions.

C
Section D

Practice & Quiz

Worked problems on merger math and 10 MCQ questions on related-party M&A concepts.

D
Session 2A

Fiduciary Duty: Business Judgment Rule vs Entire Fairness

A board’s duty is to act in the best interests of all shareholders. The legal standard that governs how courts review their decisions depends on whether a conflict of interest exists.

The Business Judgment Rule (BJR)
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Business Judgment Rule: Delaware’s default standard. Courts defer to board decisions made in good faith, with adequate information, and in the honest belief they serve shareholders’ best interests. The premise: courts should not substitute their judgment for that of informed, elected directors - even if the decision appears poor in hindsight.

Under the BJR, the board is not liable if it follows a reasonable process. This means obtaining fairness opinions from investment banks, holding deliberative board meetings, and documenting the decision-making rationale. The BJR applies to most M&A transactions where the board is independent and free of conflicts.

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Key point: The BJR is a process standard, not an outcome standard. A board that follows proper process is protected even if the deal turns out badly. This is why M&A target boards routinely obtain fairness opinions - they create a documented record of reasonable decision-making.
The Entire Fairness Standard
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Entire Fairness: The heightened standard that applies when a controlling shareholder stands on both sides of a transaction, or when the board is not truly independent. The burden shifts to the defendant (the board) to prove both fair price and fair process. This is a much higher bar than the BJR.
Business Judgment RuleEntire Fairness
When appliedDefault: independent board, no conflictsControlling shareholder on both sides; board not independent
Burden of proofPlaintiff must prove bad faith or gross negligenceDefendant must prove fair price AND fair process
What courts examineWas the process reasonable?Was the price fair? Was the process fair?
Board protectionWide latitude; protected if process was reasonableNo deference; court independently evaluates both prongs
Practical effectBoards almost always winBoards frequently lose; deal prices tend to be higher
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The trigger is the controlling shareholder, not the deal size. Entire Fairness applies whenever a person with control (typically >20% ownership plus effective board influence) benefits from both sides of the transaction. It does not depend on deal value, currency, or structure.
Other Heightened-Scrutiny Doctrines
DoctrineWhen It AppliesWhat It Requires
Revlon DutiesChange of control is occurring (e.g., cash tender for >50%)Board must seek the highest value for shareholders; cannot favour one bidder over another on anything other than value
Unocal DoctrineBoard takes defensive actions against a hostile bidDefences must be proportional to the threat; cannot be coercive or designed solely to prevent a deal
Entire FairnessConflict-of-interest transactions (controlling shareholder, MBOs, parent freezeouts)Proof of fair dealing AND fair price

In practice, break fees tend to be smaller in deals subject to Revlon duties or Entire Fairness review, because courts scrutinise any provision that could deter competing bids or lock in a potentially unfair price.

Session 2B

Market Value Balance Sheets & Premium Calculation

Merger math starts with market values, not book values. This section walks through the step-by-step process of building combined-firm value, calculating post-merger share price, and determining the premium paid to target shareholders.

Building a Market Value Balance Sheet

A market value balance sheet replaces book values with current market prices. This is what merger math requires - the deal is priced at market prices, not accounting values.

Market Value of Equity (MVE) = Share Price × Shares Outstanding NOT book equity from the balance sheet. The market price reflects all public information about the firm’s prospects. Firm Value = MVE + Market Value of Debt For traded bonds: use bond market prices. For bank debt: approximate with book value. For convertible debt trading at distressed levels, use actual market price (not par). Combined Firm Value = Firm ValueA + Firm ValueB + PV(Synergies)
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Common exam trap: Students use book value of equity instead of market value. MVE = share price × shares outstanding. Book value is irrelevant for merger math. Similarly, for traded bonds, use bond market prices (not par value) - distressed convertibles may trade at 60–70% of par.
Merger Math - Step-by-Step Walkthrough

This is the core numerical exercise. Given standalone values, a synergy estimate, and an exchange ratio, calculate the post-merger share price and the premium paid to target shareholders.

Step 1 - Build Market Value Balance Sheets for each firm MVE = Price × Shares; add market value of debt to get firm value Step 2 - Combined Firm Value = FVA + FVB + PV(Synergies) Capitalise synergies: Annual synergy / (r − g) for a growing perpetuity Step 3 - Post-Merger Shares = SharesA + (SharesB × Exchange Ratio) Step 4 - Post-Merger Share Price = Combined Firm Value / Post-Merger Shares Step 5 - Offer Value per Target Share = Post-Merger Price × Exchange Ratio Step 6 - Premium = (Offer Value − Target Pre-Deal Price) / Target Pre-Deal Price
Worked Example - Full Merger Math Acquirer: MVE = $220 × 148M shares = $32.56B. Debt = $3.90B. FV = $36.46B. Target: MVE = $22 × 100M shares = $2.20B. Debt = $2.90B. FV = $5.10B. Synergies: $150M/yr cost savings, 12.5% discount rate, 2.5% growth = $150M / 0.10 = $1.50B PV. Combined FV = $36.46B + $5.10B + $1.50B = $43.06B Post-merger shares = 148M + (100M × 0.1265) = 160.65M Post-merger price = $43.06B / 160.65M = $268.01 Offer value = $268.01 × 0.1265 = $33.90 per target share Premium = ($33.90 − $22.00) / $22.00 = 54.1% A 54% premium is well above the typical 25–40% range, which is why investors may question whether the synergy assumptions justify the price. If synergies turn out to be $75M/yr instead of $150M, the PV halves and the acquirer overpaid.
Fixed Exchange Ratio = Floating Dollar Price

In an all-stock deal with a fixed exchange ratio, the dollar value of the offer floats with the acquirer’s stock price between signing and closing. This creates a critical risk allocation issue.

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If the acquirer’s stock rises between signing and closing, the target shareholders receive more dollar value than originally announced - making the deal increasingly expensive for acquirer shareholders. If the acquirer stock falls, the target gets less. This is the canonical reason why collar structures exist - to cap the windfall or shortfall caused by stock price moves.
Price MechanismAcquirer Stock RisesAcquirer Stock Falls
Fixed exchange ratioTarget gets windfall; acquirer overpaysTarget gets shortfall; may vote deal down
Floating ratio (fixed $)Fewer shares issued; acquirer protectedMore shares issued; acquirer diluted
CollarWithin band: ratio floats. Above cap: ratio fixed (protects acquirer)Within band: ratio floats. Below floor: ratio fixed (protects target)
Session 2C

Reading Market Reactions & Stakeholder Impact

The market’s reaction to a deal announcement is a real-time valuation of whether shareholders believe the deal creates or destroys value. Different asset classes - equity, debt, convertibles - react differently because they have different claims on the firm.

The Market Reaction Test

When a deal is announced, three prices move simultaneously: the acquirer’s stock, the target’s stock, and the target’s debt. Each tells a different story because each claim sits in a different part of the capital structure.

Reaction PatternWhat It Signals
Acquirer stock , Target stock Market believes the deal creates value for both; synergies are credible
Acquirer stock , Target stock Market believes the acquirer is overpaying; value transfers from acquirer to target shareholders
Acquirer stock , Target debt Bailout signal: the deal rescues the target’s creditors at the acquirer’s expense. Debt rises because default risk falls; equity falls because the acquirer absorbs the rescue cost.
Both stocks Market believes the deal destroys value for everyone (rare; usually means regulatory or integration risk)
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The bailout signal is the key exam pattern: When an acquirer’s stock falls while the target’s debt (or convertible notes) rises sharply, it means the deal eliminates default risk for the target - a massive credit positive for bondholders - while the acquirer’s equity holders bear the cost. This is a value transfer from acquirer equity to target creditors.
Implied Synergy from Market Reaction

You can reverse-engineer the market’s implied synergy estimate by re-running the merger math with post-announcement prices instead of pre-announcement prices.

Implied Synergy = Combined MVEpost-announcement − (MVEA, pre + MVEB, pre) If the result is negative, the market believes the deal destroys value overall. If the result is lower than the claimed synergy, the market discounts management’s projections.
Worked Example - Implied Synergy Pre-deal: Acquirer MVE = $32.5B, Target MVE = $2.4B. Claimed synergy = $975M. Post-announcement: Acquirer falls 10.7% → MVE = $29.0B. Target rises 21.6% → MVE = $2.92B. Combined post-announcement MVE = $29.0B + $2.92B = $31.92B Implied synergy = $31.92B − ($32.5B + $2.4B) = −$2.98B The market priced in negative $3B in synergies - it believed the deal destroyed value, not created it. Management claimed $975M in cost savings; the market said the deal was a $3B bailout. This gap is exactly why the deal was litigated.
Stakeholder Impact in Stock Deals

An all-stock deal affects different stakeholders differently. Target shareholders, acquirer shareholders, and target creditors each have distinct risk exposures that shift when the deal closes.

StakeholderBefore DealAfter DealNet Effect
Target equity holdersHold target shares (distressed?)Hold acquirer shares + premiumGain premium; default risk eliminated; bear acquirer risk
Acquirer equity holdersHold acquirer sharesDiluted; absorb target’s liabilitiesLose if synergies < premium; bear integration risk
Target creditorsExposed to target default riskNow backed by stronger combined entityCredit positive - bonds rise in value
Acquirer creditorsClaims on acquirer aloneClaims diluted by target’s debtMixed - depends on target quality
🎯
Exam connection: If a question asks “what should an analyst tell a client who holds target convertible notes?” the answer is: the deal is credit-positive for you because the acquirer’s balance sheet backstops the target’s debt. Your convertible may rise substantially. But the acquirer’s equity holders are the ones paying for that upgrade.
Session 2D

Practice Problems & Quiz

Two worked problems covering market value balance sheets and implied synergy, plus 10 MCQ questions on related-party M&A, fiduciary duty, and market reactions.

Worked Problems

2 Problems
Problem 1 - Post-Merger Share Price (Medium)
Problem Acquirer: 200M shares at $50 ($10B MVE), $3B debt. Target: 80M shares at $20 ($1.6B MVE), $1B debt. Exchange ratio = 0.30. Synergy PV = $600M. Calculate: (a) combined firm value, (b) post-merger shares, (c) post-merger share price, (d) offer value per target share, (e) premium.
Solution (a) FVA = $10B + $3B = $13B. FVB = $1.6B + $1B = $2.6B. Combined = $13B + $2.6B + $0.6B = $16.2B (b) New shares = 80M × 0.30 = 24M. Total = 200M + 24M = 224M shares (c) Combined equity = $16.2B − $4B total debt = $12.2B. Price = $12.2B / 224M = $54.46 (d) Offer value = $54.46 × 0.30 = $16.34 per target share (e) Premium = ($16.34 − $20.00) / $20.00 = −18.3% Negative premium - target shareholders receive less than the current market price. This could indicate the target is distressed (market price already inflated by takeout speculation) or the exchange ratio is deliberately low. In a related-party context, a negative premium would trigger intense Entire Fairness scrutiny.
Problem 2 - Implied Synergy from Market Reaction (Hard)
Problem Pre-deal: Acquirer MVE = $20B, Target MVE = $4B. Deal announced at 40% premium. Day-one: Acquirer stock falls 8%, Target rises 15%. What is the market’s implied synergy? Management claimed $2B in synergies - does the market agree?
Solution Post-announcement MVEA = $20B × 0.92 = $18.4B Post-announcement MVEB = $4B × 1.15 = $4.6B Combined MVE = $18.4B + $4.6B = $23.0B Pre-deal sum = $20B + $4B = $24.0B Implied synergy = $23.0B − $24.0B = −$1.0B The market implies the deal destroys $1B of value vs management’s claim of $2B in synergies - a $3B credibility gap. Markets are sceptical of management’s projections, particularly in related-party deals where the incentive to overstate synergies is high.

Session 2 Quiz

10 Questions
🎯
10 MCQ questions covering fiduciary duty, Entire Fairness vs BJR, market value balance sheets, market reaction interpretation, and deal structure in related-party M&A.
Session 3 · Concepts via LVMH/Tiffany

Cross-Border M&A, Risk & Deal Financing

Cross-border acquisitions introduce four risk dimensions beyond standard M&A: market risk, legal/regulatory risk, strategic fit risk, and financial risk. This session also teaches MAC clauses, deal renegotiation dynamics, and how acquirers choose between debt and equity financing.

4 Risk DimensionsMAC ClausesStrategic DebtExam Focus
4Risk Dimensions
MACMaterial Adverse Change
Debt vs EquityFinancing Signal
Specific Perf.Completion Clause

Chapter Sections

4 Sub-pages
Section A

Acquisition Risk Framework

Market, legal, strategic, and financial risk - the four dimensions every cross-border deal must assess.

A
Section B

MAC Clauses & Deal Renegotiation

When a buyer can walk away, what triggers a MAC, and negotiation leverage via specific performance.

B
Section C

Deal Financing: Debt vs Equity

Why acquirers choose all-debt financing, signalling theory, and the trade-off between flexibility and stability.

C
Section D

Practice & Quiz

Worked problems on MAC analysis, break-even synergy, and 10 MCQ questions.

D
Session 3A

Acquisition Risk Framework

Every cross-border deal must be assessed across four risk dimensions. A deal that scores well on strategic fit may still fail on legal or financial risk.

The Four Risk Dimensions
Risk DimensionKey QuestionWhat to Assess
Market RiskHow do macro shocks affect the target’s business?Revenue sensitivity to cycles, FX exposure, demand elasticity. Distinguish temporary vs permanent impairment.
Legal & RegulatoryCan the deal close on the agreed terms?Antitrust review (FTC/EU), MAC clause scope, specific performance clauses, cross-border regulatory interference.
Strategic FitDoes the target complement the acquirer’s portfolio?Revenue and cost synergy credibility, cultural integration risk, brand dilution risk, geographic or product gaps filled.
Financial RiskHow does the deal impact the acquirer’s balance sheet?Leverage increase, credit rating impact, FCF coverage of new debt service, financing cost lock-in.
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Exam application: When asked “should the acquirer proceed?” structure your answer across all four dimensions. A deal that scores well on strategic fit but poorly on financial risk (e.g., excessive leverage) may still be a bad decision overall.
Valuation in Cross-Border Deals

Cross-border deals add complexity to valuation. The target’s WACC should reflect country risk (sovereign risk premium), and cash flows denominated in foreign currency introduce FX exposure (covered in Session 9). Terminal values for iconic brands are dominated by perpetuity assumptions - a 1% change in terminal growth rate can swing valuation by 20–30%.

Valuation MethodCross-Border Nuance
DCFTerminal value dominates for brand acquisitions. Discount rate must include country risk. FX exposure on projected cash flows.
Comparable CompaniesMust use global luxury/sector peers, not just domestic. Multiples vary by geography (US vs Europe vs Asia).
Precedent TransactionsCross-border luxury deals are rare; small sample. Prior deals embed control premiums plus scarcity premiums for iconic brands.
Session 3B

MAC Clauses & Deal Renegotiation

A Material Adverse Change clause is the buyer’s emergency exit. But courts set an extremely high bar for invoking it, and specific performance clauses can force the buyer to close regardless.

MAC Clause Mechanics
📖
Material Adverse Change (MAC): A contractual provision allowing the buyer to terminate the merger agreement if the target suffers an event that materially harms its long-term business prospects between signing and closing.

Delaware courts have set two requirements for a valid MAC trigger:

1. Company-SpecificThe adverse change must be specific to the target, not an industry-wide or economy-wide event. Recessions, pandemics, and sector downturns do NOT qualify because they affect all comparable firms equally.
2. DurableThe change must be lasting, not temporary. A single bad quarter or a short-term disruption is insufficient. Courts look for fundamental, long-term impairment of the target’s earning power.
⚠️
No Delaware court has ever allowed a buyer to walk on MAC grounds for a market-wide disruption. This is why MAC arguments based on COVID, financial crises, or recessions are considered legally weak - even though they may be commercially reasonable.
Specific Performance & Renegotiation Leverage
📖
Specific performance clause: Requires the buyer to complete the acquisition rather than simply paying a reverse break fee to walk away. This shifts the default from “pay to exit” to “must close.”
Without Specific PerformanceWith Specific Performance
Buyer can walk by paying reverse break fee (typically 3–6% of deal value)Buyer must close unless MAC is successfully invoked
Target’s only remedy is the feeTarget can sue to force completion; court can order buyer to close
Buyer retains optionalityBuyer loses the “pay-to-exit” option
🎯
Renegotiation dynamic: When a MAC claim is legally weak but the buyer still wants a price cut, specific performance gives the target enormous leverage. The buyer faces a binary choice: close at the agreed price or lose in court. This is why renegotiated discounts tend to be small (2–3%) rather than large - the target knows the buyer’s exit option is near-worthless.
Session 3C

Deal Financing: Debt vs Equity Signals

How an acquirer funds a deal sends a signal about management’s confidence. All-debt financing preserves control and signals conviction; equity financing shares risk but dilutes and signals potential overvaluation.

Why Choose All-Debt Financing?
FactorDebt FinancingEquity Financing
ControlNo dilution; controlling shareholder bloc preservedDilutive; may shift voting power
SignalConfidence signal - management believes FCF can service debtOvervaluation signal - “why issue expensive shares?”
TaxInterest is tax-deductible; lowers after-tax costDividends are not deductible
FlexibilityLower - committed interest payments constrain future spendingHigher - no mandatory payments
Cost in low-rate environmentExtremely cheap - can lock in rates for 10+ yearsOpportunity cost of dilution is high when stock is fairly valued
🎯
Strategic debt is debt raised not just for financing but as a deliberate strategic tool: to signal confidence, to preserve control, and to exploit temporary market conditions (low rates). The exam tests whether you can articulate why a firm chose its financing mix, not just describe it.
Bond Structuring for Large Acquisitions

Large acquisition bonds are typically issued in multiple tranches with staggered maturities, spreading refinancing risk across years. Oversubscription (investor demand exceeding the issue size) is a strong market confidence signal.

Design ChoicePurpose
Multiple tranches (2yr, 5yr, 7yr, 11yr)Spreads refinancing risk; matches debt maturity to expected cash flow timing
Fixed-rate couponsLocks in low rates; eliminates interest rate risk
Investment-grade rating maintainedAccess to broadest investor base; lowest cost of debt
No equity componentNo dilution; signals management conviction in deal cash flows
Session 3D

Practice & Quiz

Worked problems on MAC analysis and break-even synergy, plus 10 MCQ questions on cross-border M&A risk.

Worked Problems

2 Problems
Problem 1 - Break-Even Synergy for Premium Justification (Medium)
ProblemAn acquirer pays $131.50/share for a target trading at $91.58. The target has 121.6M shares outstanding. Cost synergies will grow at 2% forever, discounted at 8%. What minimum annual synergy justifies the premium?
Solution Premium/share = $131.50 − $91.58 = $39.92 Total premium = $39.92 × 121.6M = $4,854M PV(synergy) must ≥ $4,854M = ΔCF1 / (0.08 − 0.02) ΔCF1 = $4,854M × 0.06 = $291M/year minimum The acquirer needs $291M/year in after-tax synergies just to break even on the premium. Any shortfall destroys value for acquirer shareholders. This is a high bar.
Problem 2 - MAC Trigger Analysis (Conceptual)
ProblemA buyer signed a merger agreement to acquire a retail chain for $5B. Six months later, a global pandemic reduces the target’s revenue by 40%. The buyer invokes the MAC clause. Will a Delaware court allow the buyer to walk?
Solution Delaware requires MAC events to be: (1) company-specific, and (2) durable. A global pandemic is systemic, not company-specific - all retailers were affected. Revenue declines during lockdowns are likely temporary, not permanent impairment. Verdict: No. The court will almost certainly reject the MAC claim. If the target has a specific performance clause, it can force the buyer to close. The buyer’s realistic option is to negotiate a small price concession (2–3%) in exchange for dropping the MAC claim and avoiding costly litigation.

Session 3 Quiz

10 Questions
Session 3B · Concepts via Paramount/WBD

LBO-Style Strategic M&A

Some strategic deals use financial-acquirer-style leverage. This session teaches when strategic necessity overrides NPV discipline, how to calculate synergy break-even under heavy debt, and how breakup fees create optionality.

Strategic vs NPVSynergy Break-EvenBreakup OptionalityExam Focus

Chapter Sections

4 Sub-pages
Section A

Strategic Necessity vs NPV

When “must do” deals override standard DCF discipline. Industry consolidation and survival logic.

A
Section B

Capital Structure as Risk Decision

Who bears the debt? How leverage in a strategic deal changes the risk profile for all stakeholders.

B
Section C

Breakup Fees & Deal Optionality

Breakup fees as options, walk-away rights, and how deal protection mechanisms allocate completion risk.

C
Section D

Practice & Quiz

Worked problems on synergy break-even under leverage and deal optionality analysis.

D
Session 3B-A

Strategic Necessity vs NPV Discipline

In consolidating industries, the cost of not doing a deal can exceed the cost of overpaying. But strategic necessity is also the most common excuse for value-destroying acquisitions.

When “Must Do” Overrides NPV

In industries undergoing rapid consolidation (media, telecom, pharma), not acquiring can leave a firm too small to compete. The NPV of inaction may be worse than the NPV of an expensive deal. But this logic is also the most abused justification for empire-building.

Legitimate strategic necessityRed flag for empire-building
Industry consolidating rapidly; standalone survival at riskVague “strategic fit” that maps to none of McKinsey’s six archetypes
Target owns critical asset (spectrum, IP, distribution) unavailable elsewhereTarget is in an unrelated industry with no operational synergy
Scale economics require minimum market share to be viableManagement compensation tied to revenue growth, not ROIC
⚠️
“Strategic necessity” is the last refuge of the empire builder. Always test the claim by computing the synergy break-even: what annual cash flow improvement is needed to justify the premium? If the number is implausibly large, the strategic rationale is cover for overpayment.
Synergy Break-Even Under Leverage
Synergy Break-Even = Premium / [(1 / (r − g)] The minimum annual synergy ΔCF1 that makes NPV = 0 for the acquirer With Leverage: Also need ΔCF1 > Annual Debt Service on acquisition debt If synergies must both justify the premium AND cover interest on new debt, the bar is higher
🎯
Double burden under leverage: In an LBO-style strategic deal, synergies must (1) exceed the premium to create value AND (2) cover the debt service to avoid default. If the deal uses 70% debt at 6% interest, annual interest alone may be larger than realistic cost synergies.
Session 3B-B

Capital Structure as a Risk Decision

When a strategic acquirer loads a target with LBO-style leverage, it changes who bears the risk. The equity holders get amplified returns - or amplified losses.

Who Bears the Debt?

In a standard strategic acquisition, the acquirer’s existing balance sheet absorbs the debt. In an LBO-style strategic deal, the debt is placed at the target (or a new holdco), ring-fencing the acquirer’s other assets. This is a critical structural choice.

Debt PlacementRisk ProfileWhen Used
On acquirer BSAcquirer’s credit rating absorbs the leverage; all divisions collateraliseStrong acquirer, investment-grade rating, wants lowest cost of debt
On target / holdcoRing-fenced - if target underperforms, acquirer’s other assets are protectedWeaker target, high leverage, acquirer wants to limit downside exposure
Split (structural subordination)Senior debt on target assets; holdco debt serviced from target dividendsComplex LBO structures; multiple layers of debt with different creditor pools
🎯
Exam application: When a deal uses heavy debt, always ask: where does the debt sit? On the acquirer, the target, or a new holdco? This determines whose creditors are at risk and whose credit rating is impacted.
Session 3B-C

Breakup Fees & Deal Optionality

Every deal has embedded options. Break fees, reverse break fees, and go-shop periods create optionality that can be valued using the same framework as financial options.

Breakup Fees as Options
Fee TypeWho PaysOption AnalogyTypical Size
Break feeTarget → BidderCost of a call option on the target: the bidder pays for diligence, and the break fee compensates if a higher bidder emerges2.5–3.5% of deal value
Reverse break feeBidder → TargetPrice of a put option for the bidder: the bidder can walk away, paying the fee as the “premium”3–6% (wider range; no fiduciary cap)
Go-shop periodN/AA time window in which the target can solicit competing bids; extends the target’s option to find a better price30–60 days post-signing
🎯
Option value insight: A reverse break fee of $1B on a $44B deal (2.3%) gives the buyer the right - but not the obligation - to walk away. The “strike price” of this option is the fee itself. If deal conditions deteriorate by more than $1B, the buyer exercises the put and walks. Specific performance clauses eliminate this option entirely.
Session 3B-D

Practice & Quiz

Worked problems on synergy break-even under leverage and breakup fee optionality.

Worked Problems

2 Problems
Problem 1 - Synergy Break-Even Under Leverage (Hard)
ProblemAn acquirer buys a target for $10B EV using $7B debt at 5.5% and $3B equity. The target was worth $8B standalone. Synergies grow at 2% forever, discounted at 9%. (a) What is the premium? (b) Minimum annual synergy to justify the premium? (c) Can this synergy also cover the annual interest expense?
Solution (a) Premium = $10B − $8B = $2B (b) $2B = ΔCF1 / (0.09 − 0.02) ⇒ ΔCF1 = $2B × 0.07 = $140M/year (c) Annual interest = $7B × 5.5% = $385M. The $140M synergy covers only 36% of debt service. The target’s existing FCF must cover the remaining $245M of annual interest. This illustrates the double burden: synergies justify the premium, but the target’s operating cash flow must also service the acquisition debt. If the target’s FCF is below $385M, the deal is unsustainable regardless of synergies.
Problem 2 - Reverse Break Fee as Option (Medium)
ProblemA buyer agrees to acquire a target for $20B with a $600M reverse break fee. After signing, conditions deteriorate and the target is now worth only $16B. Should the buyer close or walk?
Solution Cost of closing: pay $20B for an asset now worth $16B ⇒ loss = $4B Cost of walking: pay $600M reverse break fee ⇒ loss = $600M Walk. The $600M fee is the “option premium” - far cheaper than the $4B loss from closing. This is exactly why specific performance clauses exist: they eliminate the buyer’s walk-away option. Without specific performance, the reverse break fee is effectively a put option on the deal.

Session 3B Quiz

From Quiz Bank
🎯
S3B quiz questions are integrated into the main Quiz Bank. Navigate there to test yourself on LBO-style strategic M&A concepts.
Session 4 · Borja Ch 2

Valuation & Financial Modeling in M&A

This session shows how to put numbers on the value creation identity: how to value a target standalone via DCF and APV, how to set the exchange ratio in a stock deal, and how to judge the EPS impact. Every exam question is, at heart, a value question.

DCF / WACCAPVBeta UnleverExchange RatioMust Memorise
6 StepsDCF Workflow
VU+PV(TS)APV Formula
βu↔βlHamada
ER×PExchange Ratio

Chapter Sections

4 Sub-pages
Section A

DCF Workflow

FCF → WACC → Terminal Value → Firm Value → Equity Bridge → Value per Share.

A
Section B

APV & Beta Lever/Unlever

Adjusted Present Value for changing capital structures. Hamada beta formula for private-company valuation.

B
Section C

Exchange Ratio & EPS

Stock deal mechanics, break-even exchange ratio, and accretion/dilution analysis.

C
Section D

Practice & Quiz

Worked DCF, APV, and exchange ratio problems plus 8 MCQ questions.

D
Session 4A

The DCF Workflow: FCF to Value per Share

DCF values a firm as the present value of the free cash flows it will generate. The workflow has six steps - each with a formula you must memorise.

Step 1 - Free Cash Flow to the Firm (FCFF)
NOPLAT = EBIT × (1 − t) EBIT = Earnings Before Interest & Tax; t = marginal corporate tax rate FCF = NOPLAT + D&A − CapEx − ΔNWC D&A = depreciation & amortisation (non-cash add-back); CapEx = capital expenditure; ΔNWC = change in net working capital (increase in NWC = cash use, so subtracted)

FCF is the cash available to all capital providers (debt and equity) - it is therefore discounted at the WACC, not the cost of equity. This is the most common exam error: discounting FCFF at Ce.

Step 2 - WACC & Cost of Equity (CAPM)
WACC = Cd(1 − t) × D/(D+E) + Ce × E/(D+E) Cd = pre-tax cost of debt; Ce = cost of equity; D, E = market values of debt and equity Cost of Equity (CAPM): Ce = Rf + β × (Rm − Rf) Rf = risk-free rate (10-yr govt bond); β = equity beta; (Rm − Rf) = equity market risk premium, typically 5–7%
⚠️
Weights use market values, not book values. The cost of debt is after-tax because interest is tax-deductible. A WACC where g ≥ WACC is meaningless (infinite value) - always keep terminal g below long-run GDP growth.
Steps 3–6 - Terminal Value & Equity Bridge
Terminal Value (Gordon Growth): TVN = FCFN × (1 + g) / (WACC − g) FCFN = FCF in final projection year; g = perpetual growth rate (must be < WACC) Firm Value = Σ [FCFt / (1 + WACC)t] + TVN / (1 + WACC)N Equity Value = Firm Value − Debt + Excess Cash + Non-operating Assets Value per Share = Equity Value / Shares Outstanding
Worked Example - Full DCF FCF1 = $50M, growing at g = 2% in perpetuity. WACC = 10%. Debt = $120M, excess cash = $20M, 25M shares. Firm Value = $50M / (0.10 − 0.02) = $50M / 0.08 = $625M Equity = $625M − $120M + $20M = $525M Per share = $525M / 25M = $21.00
Session 4B

APV & Beta Lever/Unlever

APV is preferred when the capital structure changes over time (LBOs, recaps). Hamada’s formula converts observed equity betas into asset betas for cross-company comparison.

The APV Decomposition
APV = VU + PV(Tax Shields) + PV(Subsidies) − PV(Distress Costs) VU = unlevered firm value (FCF discounted at Ca, the unlevered cost of capital / asset return) Annual Interest Tax Shield = t × Cd × D t = tax rate; Cd = cost of debt; D = face value of outstanding debt PV(Tax Shields) = t × Cd × D / Ca (if debt is risky / changing - use Ca) = t × D (if debt is constant & risk-free - discount at Cd, simplifies to t×D)
Worked Example - APV All-equity value VU = $900M. Constant debt $400M at Cd = 7%, t = 25%, Ca = 11%. Annual tax shield = 0.25 × 0.07 × $400M = $7.0M PV(TS) = $7.0M / 0.11 = $63.6M (discounted at Ca) APV = $900M + $63.6M = $963.6M If discounted at Cd instead: $7M / 0.07 = $100M, giving APV = $1,000M. The discount rate choice matters.
Beta Unlever/Relever (Hamada)
Unlever: βu = βl / [1 + (1 − t) × D/E] βl = levered equity beta of comparable; βu = unlevered asset beta; D/E = debt-to-equity of comparable Relever: βltarget = βu × [1 + (1 − t) × D/Etarget] Use the average βu from peers, relever at your target’s capital structure
Worked Example - Unlever/Relever Peer: βl = 1.40, D/E = 0.50, t = 25% Unlever: βu = 1.40 / [1 + 0.75 × 0.50] = 1.40 / 1.375 = 1.018 Target D/E = 1.00. Relever: βl = 1.018 × [1 + 0.75 × 1.00] = 1.018 × 1.75 = 1.78 More leverage ⇒ higher equity beta ⇒ higher cost of equity ⇒ higher WACC. The target’s D/E of 1.0 vs the peer’s 0.50 pushes beta from 1.40 to 1.78.
Session 4C

Exchange Ratio & EPS Accretion/Dilution

In a stock-for-stock deal, the exchange ratio determines how the gains are divided. Too high helps the target; too low helps the bidder. The break-even ratio is the maximum the acquirer can offer without destroying its own value.

Exchange Ratio Mechanics
Value/shareA = EquityA / SharesA New shares issued = EquityB / Value/shareA Exchange Ratio = New shares issued / SharesB EquityB includes control premium & target-controlled synergies The break-even exchange ratio = max ratio at which acquirer NPV per share = 0
EPS Accretion/Dilution
Pro-Forma EPS = (NIA + NIB + AT Synergies − AT New Interest) / (SharesA + New Shares) AT = after-tax; New Interest = interest on debt raised for any cash component × (1−t) Quick Rule (all-stock, no synergies): Accretive if Acquirer P/E > Deal P/E paid; Dilutive if lower
Worked Example - Exchange Ratio & EPS Bidder: equity $500M, 25M shares ($20), NI = $125M (EPS $5.00). Target: equity $200M, 20M shares ($10), NI = $60M. Exchange ratio = 0.50. New shares = 0.50 × 20M = 10M. Total = 35M shares. EPS combined = ($125M + $60M) / 35M = $185M / 35M = $5.29 EPS rises from $5.00 to $5.29 ⇒ Accretive. Quick check: Bidder P/E = 20/5 = 4.0×. Deal P/E = (0.50×$20)/$3 = $10/$3 = 3.3×. Since 4.0 > 3.3: accretive. Accretive ≠ value-creating. The bidder bought cheaper earnings with dearer shares. Whether the deal creates value depends on NPV = Synergy − Premium, not on the EPS direction.
⚠️
Accretive bad deals buy low-P/E targets that are cheap for a reason (risky, no growth) - EPS rises but value can fall. Dilutive good deals buy high-P/E, high-growth targets - EPS falls now but value rises later. Always judge value by NPV, not by EPS.
Session 4D

Practice & Quiz

Worked DCF, APV, and exchange ratio problems. Then 8 MCQ questions from the quiz bank.

Worked Problems

3 Problems
Problem 1 - Full DCF to Equity Bridge (Hard)
ProblemY1 FCF = $120M, growing 15% for Y2–5, then 2.5% forever. WACC = 9.5%. Net debt = $350M, excess cash = $50M, 80M shares. Value per share.
Solution FCFs: Y1=$120, Y2=$138, Y3=$158.7, Y4=$182.5, Y5=$209.9 TV5 = $209.9 × 1.025 / (0.095 − 0.025) = $215.1 / 0.07 = $3,073M PV of FCFs (at 9.5%) = $109.6 + $115.1 + $120.7 + $126.7 + $132.9 = $605M PV of TV = $3,073 / 1.0955 = $3,073 / 1.574 = $1,952M Firm Value = $605 + $1,952 = $2,557M Equity = $2,557 − $350 + $50 = $2,257M. Per share = $2,257 / 80 = $28.21
Problem 2 - APV with Changing Debt (Medium)
ProblemUnlevered value = $700M. Sponsor loads $300M debt at 6%, t = 25%, Ca = 10%. Debt is risky (discount TS at Ca). Find APV.
Solution Annual TS = 0.25 × 0.06 × $300M = $4.5M PV(TS) = $4.5M / 0.10 = $45M APV = $700 + $45 = $745M
Problem 3 - WACC Calculation (Medium)
ProblemMarket equity = $600M, market debt = $400M, Cd = 5%, t = 25%, Rf = 3%, β = 1.2, ERP = 6%. Find WACC.
Solution Ce = 3% + 1.2 × 6% = 10.2% WACC = 5%(1−0.25) × 400/1000 + 10.2% × 600/1000 = 1.50% + 6.12% = 7.62%

Session 4 Quiz

8 Questions
Session 6 · Concepts via Wine Country

Synergy Valuation & Negotiation

How to price an acquisition using DCF and APV, how exchange ratios divide the gains in a multi-party bidding context, and how to set reservation prices in negotiations.

Synergy DCFExchange RatioReservation PriceExam Focus

Chapter Sections

4 Sub-pages
A

DCF/APV Applied to Pricing

Stand-alone valuation, synergy capitalisation, and maximum bid calculation.

A
B

Multi-Party Bidding

Competitive dynamics, winner’s curse, and how bid strategy changes with multiple acquirers.

B
C

Negotiation & Reservation Prices

BATNA, ZOPA, and how each party’s walk-away price is determined by standalone value + alternatives.

C
D

Practice & Quiz

Worked problems on synergy pricing and 10 MCQ questions.

D
Session 6A

DCF/APV Applied to Acquisition Pricing

The acquirer must answer: what is the target worth to me? This requires a standalone DCF plus a synergy valuation. The maximum bid equals standalone value + PV of synergies the acquirer can capture.

Maximum Bid Price Formula
Maximum Bid = Vtarget, standalone + PV(Synergies acquirer can capture) Any price above this destroys value for the acquirer. Any price below this transfers some synergy to the acquirer. Reservation Price (Seller) = Vtarget, standalone + Vbest alternative The target won’t sell for less than its standalone value (or its best alternative offer). ZOPA = Maximum Bid − Reservation Price Zone of Possible Agreement. If ZOPA < 0, no deal is possible.
Worked Example - Maximum Bid Target standalone DCF = $800M. Acquirer expects $50M/yr in cost synergies, discounted at 8%, growing at 2%. PV(synergies) = $50M / (0.08 − 0.02) = $833M Maximum bid = $800M + $833M = $1,633M If the target’s best alternative offer is $950M, the ZOPA = $1,633M − $950M = $683M. The deal will close somewhere in the $950M–$1,633M range. Where exactly depends on bargaining power, information asymmetry, and competitive pressure from other bidders.
Session 6B

Multi-Party Bidding & Winner’s Curse

When multiple acquirers compete for the same target, the winner tends to be the one who overestimated synergies the most. Understanding this dynamic is critical to bid discipline.

Competitive Bidding Dynamics
Bidder TypeMaximum BidSource of Value
Strategic acquirer (high synergy)Standalone + large synergy PVCross-selling, cost cuts, shared infrastructure
Strategic acquirer (low synergy)Standalone + small synergy PVLimited operational overlap
Financial acquirer (PE)Standalone + value of control + leverageOperational improvement + financial engineering
⚠️
Winner’s curse: In a competitive auction, the winner is the bidder with the highest estimate of synergies. If estimates are unbiased on average, the highest estimate is likely overestimating. Disciplined acquirers shade their bids down to account for this - especially in sealed-bid auctions where you can’t observe competitor behaviour.
Session 6C

Negotiation Strategy & Reservation Prices

Every negotiation has a BATNA (best alternative to negotiated agreement) and a ZOPA (zone of possible agreement). Understanding your own and the counterparty’s reservation price is the foundation of deal strategy.

BATNA, ZOPA & Negotiation Leverage
ConceptDefinitionHow to Strengthen It
BATNABest Alternative to Negotiated Agreement - what you do if this deal falls throughCredibly signal competing offers; pursue standalone restructuring plan
Reservation PriceWalk-away price - the worst deal you’d still acceptImprove your BATNA; lower your perceived desperation
ZOPAZone of Possible Agreement = Buyer’s max bid − Seller’s reservation priceWider ZOPA = more room to negotiate; ZOPA < 0 = no deal
🎯
Exam application: When asked “at what price should the deal close?” first calculate each party’s reservation price (standalone value + best alternative). The deal will close between these two bounds. Relative bargaining power (information, time pressure, competing bids) determines where within the ZOPA the final price lands.
Session 6D

Practice & Quiz

Worked problems on synergy pricing and negotiation, plus 10 MCQ questions.

Worked Problems

1 Problem
Problem 1 - ZOPA & Maximum Bid (Medium)
ProblemTarget standalone = $500M. Bidder A estimates $200M synergy PV. Bidder B estimates $120M. Target’s best alternative = remain independent at $500M + pursue restructuring worth $50M. What is each bidder’s max bid? What is ZOPA for each? Who wins?
Solution A’s max bid = $500M + $200M = $700M. B’s max bid = $500M + $120M = $620M. Target reservation = $500M + $50M = $550M (standalone + restructuring value). ZOPAA = $700M − $550M = $150M. ZOPAB = $620M − $550M = $70M. A wins because it has the larger synergy pool and can outbid B. Final price likely $620M–$650M (just above B’s max to ensure B drops out).

Session 6 Quiz

10 Questions
Session 7 · Borja Ch 3

Convertible Securities & ABS

The financing spectrum from senior secured debt to common equity, with hybrids in between. The convertible bond is the exam staple: you must be able to decompose its value into a bond and an option.

Convertible PricingFloor + OptionSecuritisationMust Memorise

Chapter Sections

4 Sub-pages
A

Financing Spectrum & Convertible Mechanics

Debt, hybrids, equity, and the key convertible metrics: conversion ratio, price, and value.

A
B

Convertible Pricing

Floor value = max(SBV, conversion value). Convertible value = floor + option value. Forcing conversion.

B
C

Securitisation & ABS

Pooling, tranching, SPVs, and how ABS redistribute risk. The 2008 lesson.

C
D

Practice & Quiz

Worked convertible decomposition problems plus 9 MCQ questions.

D
Session 7A

Financing Spectrum & Convertible Mechanics

A convertible lets the investor convert a fixed-income claim into a pre-specified number of the issuer’s common shares. Because it combines debt and equity features it is a hybrid instrument.

The Key Convertible Metrics
Conversion Ratio = shares received per bond (given in the bond terms) Conversion Price = Par Value / Conversion Ratio Conversion Value = Conversion Ratio × Current Share Price Given either the ratio or the price, the other follows immediately.
📖
Preferred stock is legally equity but behaves like fixed income: fixed (often cumulative) dividend, senior to common but junior to bonds in bankruptcy. Convertible preferred is the standard VC instrument: at a liquidity event investors either redeem at face value or convert into common to share the upside.
Session 7B

Convertible Pricing: Floor + Option

The convertible’s value has three components. You must be able to decompose it and explain each piece.

The Three Components
Floor Value = max(Straight Bond Value, Conversion Value) Value of Convertible = Floor Value + Option Value Straight Bond Value (SBV) = PV of coupon + principal at appropriate yield, ignoring conversion - the minimum value Conversion Value = Conversion Ratio × Current Share Price - what the bond is worth if converted now Option Value = premium the market pays for the right to wait and take whichever is larger in future
Worked Example - Zero-Coupon Convertible $1,000 par zero-coupon, 10-year maturity, conversion ratio = 25, yield = 10%, share price = $12, market price = $400. SBV = $1,000 / (1.10)10 = $1,000 / 2.5937 = $385.54 Conversion Value = 25 × $12 = $300 Floor = max($385.54, $300) = $385.54 (bond value dominates - debt-like) Option Value = $400 − $385.54 = $14.46
🎯
Why issue convertibles? A convertible carries a lower coupon than otherwise-identical straight debt because the investor also receives the conversion option. If the stock does poorly, the option expires worthless (issuer wishes it had issued straight debt). If the stock does well, the firm would have preferred to sell equity at the high price. In an efficient market, investors pay the fair value of the conversion option.
📖
Forcing conversion: Most convertibles are callable. When the share price climbs ~30% above the conversion price, the issuer calls the bond at face value; because conversion value then exceeds the call price, investors convert immediately. A call thus forces conversion and lets the firm replace debt with equity.
Session 7C

Securitisation & Asset-Backed Securities

Securitisation pools illiquid assets and sells claims on the pooled cash flows as tradable securities. Powerful for funding and risk transfer - but dangerous when underlying credit quality is mis-stated.

ABS Mechanics & Tranching

The pool of assets (mortgages, auto loans, receivables) is sold to a bankruptcy-remote SPV (special-purpose vehicle) and sliced into tranches of differing seniority.

TrancheSeniorityLoss AbsorptionRating / Yield
Senior (AAA)Highest - paid firstAbsorbs losses lastHighest rating, lowest yield
Mezzanine (BBB)MiddleAbsorbs after equity exhaustedMedium rating, medium yield
Equity / JuniorLowest - paid lastAbsorbs losses firstUnrated, highest yield
⚠️
The 2008 lesson: When the underlying credit quality was mis-stated (subprime mortgages rated as investment-grade through structured tranching), senior tranches that were supposed to be “safe” suffered massive losses. Securitisation converts balance-sheet assets into immediate funding and redistributes risk - it does not eliminate risk.
Session 7D

Practice & Quiz

Worked Problems

1 Problem
Problem 1 - Convertible Bond Decomposition (Medium)
Problem$1,000 par convertible, conversion ratio = 20, SBV = $940, stock at $56, convertible trades at $1,180. Find conversion price, conversion value, floor, and option value.
Solution Conversion price = $1,000 / 20 = $50 Conversion value = 20 × $56 = $1,120 Floor = max($940, $1,120) = $1,120 (equity-like - stock above conversion price) Option value = $1,180 − $1,120 = $60

Session 7 Quiz

9 Questions
Session 8 · Borja Ch 4

Financial & Real Options

Options have limited downside but unlimited upside - uncertainty creates value. This session builds the option toolkit (payoffs, Black–Scholes) and applies it to corporate decisions through real options.

Call/Put PayoffsBlack–ScholesReal OptionsMust Memorise

Chapter Sections

4 Sub-pages
A

Option Fundamentals

Call/put payoffs, intrinsic vs time value, moneyness, and the six drivers of option value.

A
B

Black–Scholes

The pricing model, its five inputs, and the protective put / covered call strategies.

B
C

Real Options

Delay, expand, abandon - mapping financial option variables to corporate investment decisions.

C
D

Practice & Quiz

Option payoff calculations, real option identification, and 10 MCQ questions.

D
Session 8A

Option Fundamentals & Payoffs

An option gives its owner the right, not the obligation, to buy (call) or sell (put) an underlying asset at a fixed strike price. Because it is a right, the holder lets it expire if exercise is unattractive.

Call & Put Payoffs
Call holder payoff = max(S − K, 0) S = stock price at expiry; K = strike price Put holder payoff = max(K − S, 0) Writer (seller) has the mirror-image payoff Option Premium = Intrinsic Value + Time Value Intrinsic = max(S−K, 0) for calls, max(K−S, 0) for puts Time value = value of waiting; driven by volatility and time to expiry
The Six Drivers of Option Value
Increase in…Call ValuePut Value
Stock price S
Strike price K
Volatility σ
Time to expiry t
Risk-free rate r
Dividends
🎯
Volatility is the option-holder’s friend. Both calls and puts gain value as σ and t rise. The reason: an option has limited downside (you can walk away) but unlimited upside, so more dispersion raises expected payoff. This single fact is the bridge to real options.
Session 8B

Black–Scholes & Option Strategies

The Black–Scholes Formula
C = S × N(d1) − K × e−rt × N(d2) P = K × e−rt × N(−d2) − S × N(−d1) d1 = [ln(S/K) + (r + ½σ²) × t] / (σ × √t) d2 = d1 − σ × √t S = current asset price; K = strike price; t = time to expiry (years); r = risk-free rate σ = annualised volatility (std dev of ln returns); N(·) = cumulative standard normal CDF
Option Strategies
StrategyComponentsPurposeRisk Profile
Protective PutLong stock + Long putSets a floor under the positionDownside capped at K; upside unlimited minus premium
Covered CallLong stock + Short callCollect premium as incomeUpside capped at K; downside = full stock risk minus premium
Session 8C

Real Options: Flexibility as Value

Rigid DCF assumes you decide now and never adapt. Real-options valuation captures the value of adapting as uncertainty resolves, and can turn a negative-NPV project into a positive one.

Three Classic Real Options
Real OptionAnalogyExample
Option to delay/waitCall on the projectPatent, licence, undeveloped land - invest only when conditions are favourable
Option to expandGrowth/strategic optionInitial R&D investment opens door to follow-on projects; justifies negative-NPV first step
Option to abandonPut on the projectExit if cash flows disappoint; salvage residual value
Real Options Variable Mapping: S → PV of project cash flows K → Investment cost σ → Project uncertainty t → Window to decide d → Value lost by waiting r → Risk-free rate The same six levers that move a financial option’s value move a real option’s value.
⚠️
Not every “strategic” story is a real option. An expansion option has quantifiable value only if the first investment is genuinely necessary for the later opportunity. If the follow-on could be done without the first step, there is no option value to add.
Session 8D

Practice & Quiz

Worked Problems

2 Problems
Problem 1 - Option Payoff (Easy)
ProblemYou buy a call with K = $45 for a $3 premium. Profit at S = $52? At S = $40?
Solution At $52: max(52−45, 0) − 3 = 7 − 3 = +$4 At $40: max(40−45, 0) − 3 = 0 − 3 = −$3 (premium lost; don’t exercise)
Problem 2 - Real Option Identification (Medium)
ProblemA pharma firm can spend $10M on a trial. If successful, it can invest $80M for a plant worth $120M (good state) or $50M (bad state). Standard NPV = −$5M. Should it invest?
Solution This is an option to expand (growth option). Good state: invest $80M, get $120M → gain = +$40M. Bad state: walk away → loss = $0. The $10M buys the right (not obligation) to invest $80M later. The asymmetric payoff can make it worthwhile even though naive NPV is −$5M. Yes, invest. The exploration cost is the option premium.

Session 8 Quiz

10 Questions
Session 9 · Borja Ch 5

FX Risk & Hedging

A firm that earns or pays in foreign currency carries exchange-rate risk. This session covers how currencies are priced forward, the three kinds of FX exposure, and the hedging toolkit.

CIPForward PremiumMoney-Market HedgeMust Memorise

Chapter Sections

4 Sub-pages
A

Exchange Rates & CIP

Spot, forward, covered interest parity, and forward premium/discount.

A
B

Three Exposures & Hedging Toolkit

Translation, transaction, and operating exposure. Forwards, futures, options, and swaps.

B
C

Money-Market Hedge

Replicate a forward using spot FX plus borrowing/lending. Step-by-step mechanics.

C
D

Practice & Quiz

CIP calculation, money-market hedge, and 11 MCQ questions.

D
Session 9A

Exchange Rates, CIP & Forward Premium

Covered Interest Parity (CIP)
Covered Interest Parity: F / S = (1 + idomestic) / (1 + iforeign) F = forward rate (direct quote: domestic per 1 foreign); S = spot rate; i = annualised interest rate The currency with the higher interest rate trades at a forward discount, exactly offsetting its rate advantage. Forward Premium / Discount = (S / F) − 1 Positive = foreign currency at a discount; Negative = foreign currency at a premium
Worked Example - CIP Spot USD/EUR = 1.10. US 1-yr rate = 5%, Euro 1-yr rate = 3%. F = 1.10 × (1.05 / 1.03) = 1.10 × 1.0194 = 1.1214 USD/EUR The euro trades at a forward premium (higher USD/EUR) because its rate is lower.
Session 9B

The Three Exposures & Hedging Toolkit

Translation, Transaction & Operating Exposure
ExposureWhat It AffectsTime HorizonHedgeable?
TranslationFinancial statements when consolidating foreign opsReporting periodAccounting effect only - hedging can destroy real cash value
TransactionCommitted cash flows between transaction and settlementShort-termYes - forwards, futures, options, money-market hedge
Operating (Economic)Firm’s market value (PV of future after-tax cash flows)Long-termOnly through operational changes (pricing, sourcing, plant location)
⚠️
Don’t confuse exposures. A forward/option hedges transaction exposure (committed cash flows). It does NOT fix operating exposure. And hedging translation exposure can destroy real value while merely smoothing the accounting picture.
The Hedging Toolkit
InstrumentMechanicsAdvantageLimitation
ForwardOTC agreement to exchange at fixed future ratePerfect hedge (exact amount & date)Counterparty risk; illiquid
FutureExchange-traded standardised contract; daily mark-to-marketNo counterparty risk; liquidImperfect hedge (standardised sizes)
Money-market hedgeSpot FX + borrow/lendReplicates forward; no derivative neededTies up capital; same cost as forward (CIP)
OptionRight to exchange at set rateKeeps upside while capping downsidePremium cost
SwapSeries of forwards under one contractHedges long-term recurring exposure (5–10yr)Counterparty risk; complexity
Session 9C

The Money-Market Hedge

Replicate a forward using spot FX plus borrowing/lending. The result matches the forward cost exactly, as covered interest parity guarantees.

Money-Market Hedge - Step by Step (Foreign Payable)
Step 1: Deposit PV of foreign payable today = FCY / (1 + iforeign) Step 2: Convert at today’s spot rate = PV × S = domestic cost today Step 3: Finance at domestic rate = Cost today × (1 + idomestic) = locked-in domestic cost The deposit grows to exactly the foreign payable at maturity. Exchange-rate uncertainty removed. Result matches the forward hedge cost - guaranteed by CIP.
Worked Example - Money-Market Hedge US firm owes €1.00M in 1 year. Spot = 1.10 USD/EUR. US rate = 5%, Euro rate = 3%. Step 1: Deposit €1M / 1.03 = €0.9709M today. Step 2: Buy at spot: €0.9709M × 1.10 = $1.0680M today. Step 3: Finance: $1.0680M × 1.05 = $1.1214M in one year. Forward hedge: €1M × 1.1214 (forward rate) = $1.1214M. Identical.
Session 9D

Practice & Quiz

Worked Problems

1 Problem
Problem 1 - Forward Premium & Money-Market Hedge (Medium)
ProblemSpot USD/GBP = 1.27. US rate = 4.8%, UK rate = 5.2%. (a) Find the 1-year forward. (b) Show the money-market hedge gives the same cost for a £2M payable.
Solution (a) F = 1.27 × (1.048 / 1.052) = 1.27 × 0.9962 = $1.2652/£ Forward cost = £2M × $1.2652 = $2,530,400 (b) Deposit PV: £2M / 1.052 = £1,901,141. Buy at spot: × $1.27 = $2,414,449. Finance at 4.8%: $2,414,449 × 1.048 = $2,530,343 ≈ identical.

Session 9 Quiz

11 Questions
Session 10 · Borja Ch 6

Private Equity & Venture Capital

Life CyclePre/Post-Money2-and-20Must Memorise
Seed→IPOVC Stages
Post=Pre+InvCore Formula
2 & 20Fund Economics
J-CurveReturn Pattern

Chapter Sections

4 Sub-pages
A

Life Cycle & Investor Types

How firms finance themselves from startup to maturity; angels, VC, strategic investors.

A
B

VC Rounds & Dilution

Pre-money, post-money, ownership calculation, cap table mechanics.

B
C

Fund Economics

Management fees, carried interest, hurdle rates, and the J-curve.

C
D

Practice & Quiz

Worked dilution problems and 5 MCQ questions.

D
10A

Life Cycle Financing & Investor Types

Financing Across the Life Cycle

Three factors drive how much external cash a business needs: its underlying profitability, its asset intensity (assets required per dollar of revenue) and its pace of growth. Young, fast-growing, asset-hungry firms burn cash and rely on equity; mature firms generate cash and add debt.

StageFinancingInvestor Type
SeedPersonal funds, F&F, angelsBootstrapping; angel investors
Start-up / Series AEquity (convertible preferred)VC funds
ExpansionVC later rounds, growth equityVC / growth PE
MatureDebt + retained earningsBanks, bond investors
DeclineRetire debt, buy back stockReturning capital
🎯
Angels are not small VCs. Angels have no fund life, so they can back earlier, slower-maturing deals. VCs need large investments and large exits for their fund economics (and J-curve) to work.
10B

VC Rounds, Pre/Post-Money & Dilution

Pre-Money, Post-Money & Ownership
Post-Money = Pre-Money + Investment Investor Ownership % = Investment / Post-Money Pre-money = what the company is worth before the new money; post-money = after New Shares Issued: x / (Existing + x) = Investor Ownership % Price per share = Investment / x = Pre-Money / Existing Shares
Worked Example - Simple Round Founders own 4.0M shares. VC invests $3M at $9M pre-money. Post-money = $9M + $3M = $12M. VC owns $3M/$12M = 25%. New shares: x/(4.0+x) = 0.25 ⇒ x = 1.33M. Price = $3M/1.33M = $2.25/share. Founders diluted to 75%.
10C

Fund Economics: 2-and-20 & J-Curve

The 2-and-20 Model & J-Curve
Management Fee ≈ 2% of committed capital per year (covers fund operations) Carried Interest ≈ 20% of profits above hurdle rate (≈ 8% IRR) Fund life ≈ 10 years. GP commits own capital for alignment. Vintage year drives comparability.
📖
The J-curve: Early in a fund’s life, fees and write-downs make net returns negative; only later, as portfolio companies are exited, do distributions turn cumulative returns positive - tracing a “J.” PE/VC performance must be judged over the full fund life, not year by year.
10D

Practice & Quiz

Worked Problems

1 Problem
Problem 1 - Multi-Round Dilution (Medium)
ProblemFounders: 6M shares. Seed: $1.5M at $4.5M pre-money. Series A: $5M at $15M pre-money. Founder ownership after each round?
Solution Seed: Post = $6M. Seed owns 25%. Price = $0.75. New shares = 2M. Founders: 6M/8M = 75%. Series A: Post = $20M. SA owns 25%. Price = $1.875. New shares = 2.667M. Total = 10.667M. Founders: 6M/10.667M = 56.25%. Seed: 2M/10.667M = 18.75%. SA: 25%.

Session 10 Quiz

5 Questions
Session 11 · Borja Ch 7

LBOs & Going Private

Capital StackMOIC & IRRLeverage EffectMust Memorise
3–7yrHold Period
MOIC1/n−1IRR Formula
3 DriversReturn Sources
6 TypesMcKinsey

Chapter Sections

4 Sub-pages
A

LBO Structure & Capital Stack

Bank debt, high-yield, mezzanine, equity - layered by seniority.

A
B

Return Drivers: MOIC & IRR

Price, leverage/de-leverage, and profit growth. The three engines.

B
C

CCF Valuation & Six Archetypes

Capital Cash Flow method for LBOs. McKinsey’s six ways deals create value.

C
D

Practice & Quiz

LBO returns problems and 4 MCQ questions.

D
11A

LBO Structure & Capital Stack

What an LBO Is & the Capital Stack
📖
LBO: Acquires a company using a small amount of equity relative to the purchase price, the balance funded by debt. The sponsor uses the target’s own debt capacity to finance the purchase.
LayerSeniorityCostCharacteristics
Bank debt (senior secured)HighestLowestSecured, shorter, tight covenants, prepayable
High-yield bondsMiddleMediumUnsecured, longer, higher coupon, call-protected
MezzanineJuniorHighSubordinated, longest, negotiated terms, bridges debt & equity
Equity (sponsor + mgmt)LowestHighest required returnFirst loss, captures all upside
🎯
Strong LBO candidate: Stable cash flow, leverageable balance sheet, low capex, quality assets, room for cost cuts, competent management. In short: predictable cash and room to add debt.
11B

Return Drivers: MOIC, IRR & Leverage

The Three Return Drivers & Formulas
Equity at Exit = Exit EV − Remaining Debt MOIC = Equity at Exit / Equity Invested IRR = MOIC1/n − 1 n = holding period in years; assumes single equity-in / equity-out Three Return Drivers: 1. Price paid (entry multiple) - buy low 2. Leverage & de-leverage - debt repaid from FCF grows equity even if EV flat 3. Profit growth & multiple expansion - grow EBITDA and/or sell at higher exit multiple
Worked Example - LBO Returns Buy at $1,000M EV: $300M equity, $700M debt. 5-year hold, repay $250M debt, exit EV = $1,300M. Debt at exit = $700M − $250M = $450M. Equity at exit = $1,300M − $450M = $850M. MOIC = $850M / $300M = 2.83×. IRR = 2.831/5 − 1 = 23.2%.
⚠️
Leverage cuts both ways. More debt raises IRR on the upside but the same fixed payments can wipe out thin equity on the downside. High purchase multiple + high leverage = classic recipe for a busted buyout.
11C

CCF Valuation & McKinsey Six Archetypes

Capital Cash Flow (CCF) Method
CCF = FCF + t × Cd × D Tax shield folded into the cash flow; discount everything at Ca (unlevered asset return) Firm Value = Σ [CCFt / (1 + Ca)t] + TV / (1 + Ca)N Ideal for LBOs where debt changes each year - simpler than adjusting WACC annually
McKinsey’s Six Archetypes
#ArchetypeValue Source
1Improve the target’s performanceOperational turnaround
2Consolidate to remove excess capacityIndustry rationalisation
3Accelerate market accessDistribution/geography
4Get skills/tech faster than buildingBuy vs build
5Exploit industry-specific scalabilityEconomies of scale
6Pick winners early and nurture themGrowth equity / VC logic
⚠️
Vague “strategic fit” that maps to none of these six is a red flag. Every deal should clearly fit at least one archetype.
11D

Practice & Quiz

Worked Problems

1 Problem
Problem 1 - LBO: Same Deal, Different Leverage (Hard)
Problem$500M EV, 5-year hold, $150M debt repaid, exit EV = $660M. Compare: (A) $125M equity / $375M debt vs (B) $250M equity / $250M debt.
Solution A: Exit debt = $225M. Equity = $660−$225 = $435M. MOIC = 435/125 = 3.48×. IRR = 28.3%. B: Exit debt = $100M. Equity = $660−$100 = $560M. MOIC = 560/250 = 2.24×. IRR = 17.5%. Same deal, same ops - leverage alone drives IRR from 17.5% to 28.3%.

Session 11 Quiz

4 Questions
Session 12 · Borja Ch 7 cont.

LBO Mechanics & Late-Stage Valuation

Entry MultipleDebt PaydownEBITDA GrowthExam Focus
Buy LowEntry Discipline
Repay DebtDe-leverage
Grow EBITDAOps Improvement
Sell HighMultiple Expansion

Chapter Sections

4 Sub-pages
A

LBO Candidate Screening

What makes a good LBO target. The four lender tests.

A
B

De-leverage & Growth

Debt paydown mechanics and EBITDA growth as return drivers.

B
C

Multiple Expansion & Scenarios

Same deal, three exit scenarios - isolating each return driver.

C
D

Practice & Quiz

Multi-scenario LBO problems and 4 MCQ questions.

D
12A

LBO Candidate Screening

What Makes a Good LBO Target
CriterionWhy It Matters
Stable, predictable cash flowMust service debt through all economic conditions
Low existing leverageRoom to add acquisition debt
Pledgeable assetsCollateral for senior secured tranches
Low capex requirementsMore FCF available for debt repayment
Cost-cutting opportunitiesQuick EBITDA improvement post-close
Strong managementOr replaceable management with clear improvement path
12B

De-leverage & EBITDA Growth

How Debt Paydown Creates Equity Value

Even if enterprise value stays flat, repaying debt transfers value from creditors to equity holders. This is the “financial engineering” leg of LBO returns - it requires no operational improvement at all, only that the target generates enough FCF to service and repay the debt.

Worked Example - Pure De-Leverage Buy at $1,000M: $250M equity, $750M debt. 5 years, repay $500M, exit at same $1,000M EV. Exit debt = $250M. Equity = $1,000−$250 = $750M. MOIC = 750/250 = 3.0×. IRR = 3.00.2−1 = 24.6%. Zero EV growth - 24.6% return purely from debt paydown.
12C

Multiple Expansion & Scenario Analysis

Three Scenarios: Isolating Each Driver
ScenarioEntryExitMOICIRRDriver
A: De-leverage only6× / $83M EBITDA6× / $83M2.20×17.1%$150M debt paydown
B: + EBITDA growth6× / $83M6× / $110M3.48×28.3%+ $160M EV growth
C: + Multiple expansion6× / $83M7.5× / $110M4.80×36.9%+ 1.5× re-rating
🎯
Multiple expansion is the most uncertain lever. A sponsor pitching 7.5× exit on a 6× entry must explain why the market will re-rate. Without a credible operational story, assume flat multiples.
12D

Practice & Quiz

Worked Problems

1 Problem
Problem 1 - Full LBO Returns (Hard)
Problem$800M EV, $200M equity / $600M debt. 4 years, repay $180M. Exit EV = $1,000M. Find equity at exit, MOIC, IRR.
Solution Exit debt = $600−$180 = $420M. Equity = $1,000−$420 = $580M. MOIC = 580/200 = 2.90×. IRR = 2.900.25−1 = 30.5%.

Session 12 Quiz

4 Questions
Session 14 · Borja Ch 8

IPOs, Exits & Divestitures

Exit RoutesUnderpricingDirect ListingExam Focus
3 ChannelsPE Exit Routes
~15–40%Avg IPO Pop
Spin-offNo Cash Raised
Carve-outCash + Control

Chapter Sections

4 Sub-pages
A

PE Exit Routes & Divestitures

Strategic sale, secondary sale, IPO, dividend recap. Spin-offs, carve-outs, split-offs.

A
B

IPO Mechanics & Underpricing

Book-building, greenshoe, lock-up, and the underpricing puzzle.

B
C

Traditional IPO vs Direct Listing

When to raise capital (IPO) vs when to list for liquidity (direct listing).

C
D

Practice & Quiz

IPO underpricing calculation and 4 MCQ questions.

D
14A

PE Exit Routes & Divestitures

Exit Channels & Divestiture Structures
Exit RouteBuyerShare of PE Exits
Strategic saleCorporate buyer~39% (most common)
Financial / secondary saleAnother PE sponsor~24%
IPOPublic markets~13%
Dividend recapitalisationNew debt → dividend to sponsorPartial exit; no ownership change
DivestitureCash Raised?OwnershipTax
Spin-offNoPro-rata to existing shareholdersGenerally tax-free
Equity carve-outYes (minority IPO)Parent keeps controlTaxable
Split-offNoShareholders exchange parent for sub sharesVaries
Tracking stockNoSeparate class tracks division; stays inside parentN/A
Dividend Recapitalisation
💰
Definition: A leveraged recapitalisation where the PE-owned portfolio company issues new debt post-acquisition and uses the proceeds to pay a large cash dividend to the sponsor - returning capital without selling the business.

Mechanics

The sponsor instructs the portfolio company to raise debt (typically high-yield bonds or leveraged loans). The debt proceeds flow directly to the PE fund as a special dividend. The company’s leverage increases but the sponsor has already recovered part of its equity - de-risking the investment while retaining ownership upside.

Risk trade-off: The new debt can cause the value of outstanding debt to decline as the company’s risk profile increases. Debt providers accept this risk because they are compensated through high interest payments and fees. If the company later struggles, the dividend recap is criticised as extractive.
Key Exam Point A dividend recap is NOT an exit - the sponsor retains full ownership. It is a monetisation strategy that accelerates cash returns to LPs, improves DPI (distributions to paid-in), and reduces the effective equity at risk. It is often used when M&A or IPO markets are unfavourable but credit markets are open.
Primary vs Secondary Shares & Private Placements

Primary Shares

Newly issued shares. Cash proceeds go to the company. Increase shares outstanding. Used when the firm needs to raise capital (growth, debt reduction, working capital).

Secondary Shares

Existing shares sold by current holders. Cash proceeds go to the selling shareholders (founders, VCs, employees). No new capital raised for the company. No change in shares outstanding.

Facebook IPO Example 180M primary shares sold by Facebook (53% of total offering) → proceeds to company. 241M secondary shares sold by existing shareholders (47%) → proceeds to insiders. Total IPO: 421M shares at $38 = ~$16B gross proceeds. Net to Facebook: ~$6.4B | Net to existing shareholders: ~$8.6B.
🔒
Private Placements: Sale of securities to a limited number of sophisticated investors (institutions, pension funds) without a public offering. Avoids costly SEC registration. The biggest drawback: securities cannot be easily resold (illiquidity discount). Faster and cheaper than public issues.
14B

IPO Mechanics & Underpricing

The IPO & Underpricing Puzzle
Underpricing = (First-day Close − Offer Price) / Offer Price Shares are routinely priced below first-day market value. The gain accrues to allocated investors; the issuer leaves money on the table. Money Left on Table = New Shares Issued × (First-day Close − Offer Price)
Worked Example - IPO Underpricing Offer price $24, first-day close $31.20. 15M new shares issued. Underpricing = ($31.20−$24)/$24 = 30%. Money on table = 15M × $7.20 = $108M.
The IPO Process: the course's 5-Step & 26-Week Timeline
IPO Process Steps 1. Form the IPO Team (Week 1–2: Preliminary Due Diligence) Issuer, underwriter, auditor (e.g. EY), legal advisors, regulatory bodies, stock exchange → Draft the prospectus 2. File Prospectus (Week 3–19: Documentation & Pre-marketing) SEC approval (US) - submit “red herring” (preliminary prospectus) Cool-down period while regulators review Prospectus becomes official once approved 3. The Roadshow (Week 20–25: Research Report, Prospectus Publication, Roadshow) Issuer & underwriter visit potential investors Build the order book - aim for ~80% firm commitment before pricing 4. Price, Amount & Timing (Week 26: Pricing & Allocation) Crucial decisions based on roadshow demand Timing driven by market conditions Final offer price set 5. Selling on the Stock Market IPO declared effective → securities trade on exchange Price stabilisation (greenshoe) by underwriter
🔍
Underwriter Selection Criteria: (1) Knowledge of the industry, (2) Reputation of research done, (3) Commitment to analyst coverage after the IPO, (4) Pricing - less important since there is no real competition on this dimension.
Issue Methods: Firm Commitment vs Best Efforts vs Dutch Auction
MethodMechanismUnderwriter RiskTypical Use
Firm CommitmentBank buys the entire issue outright at wholesale, resells at retail. Syndicate formed to share risk.High - bank owns unsold sharesLarge seasoned issues; most common
Best EffortsBank acts as agent, receives commission per share sold. Does not purchase the issue.Low - no inventory riskSmaller IPOs; higher uncertainty
Dutch AuctionUnderwriters auction shares; investors bid quantity & price. Clearing price set at highest price that sells all shares.MediumRare; Google IPO (2004)
Rights IssueNew shares offered only to existing shareholders at a discount. Shareholders exercise or sell rights.N/ASEOs; cheaper than cash offers; preserves control
Rights Offering Example Popular Delusions Inc.: 200,000 shares at $25 each. Issuing 10,000 new shares at $20. New market value = (200,000 × $25) + (10,000 × $20) = $5,200,000 Ex-rights price = $5,200,000 / 210,000 = $24.76 Value of one right = $25 − $24.76 = $0.24
IPO Costs: Direct & Indirect

Direct Costs

1. Gross spread (management fee + underwriting fee + selling fee)
2. Consulting & legal expenses
3. Roadshow costs
4. Marketing expenses
5. SEC registration expenses
6. Other expenses

Indirect Costs

1. Disclosure requirements (competitive info becomes public)
2. Impact on governance (board, reporting obligations)
3. Information flow management with market & financial community
4. Possibility of failure - company may be “tainted” if IPO withdrawn

Key Exam Point Larger issues have proportionately much lower costs than small ones (economies of scale). Rights offerings are cheaper than general cash offers. Firm-commitment is far more prevalent for large issues than best-effort underwriting.
Greenshoe (Over-allotment Option): Stabilisation Mechanics
📈
Greenshoe provision: A clause that allows underwriters to buy up to an additional 15% of a company’s shares at the offering price if demand exceeds expectations. It is an over-allotment option that creates a stabilisation mechanism.
How It Works Step 1: Bank allocates 115% of the base deal to investors but only takes delivery of 100% from the issuer → creates a “naked” short position of 15%. Step 2a - If share price RISES: Bank exercises the greenshoe → buys the extra 15% from the issuer at the offering price → delivers to investors. Issuer raises more capital. Step 2b - If share price FALLS: Bank buys shares in the open market at the lower market price to cover the 15% short → generates buying demand → supports the stock price. Bank profits from the spread. Objective: mitigate downside price movement in the secondary market. Benefits shareholders (price support), the company (stable perception), and the underwriter (commission on extra shares or trading profit).
14C

Traditional IPO vs Direct Listing

IPO vs Direct Listing
Traditional IPODirect Listing
New capital raisedYes - new shares issuedNo - only existing shares sold
UnderwritersYes - price and placeNo book-building; shares find own price
Lock-up90–180 days usualNone - insiders sell immediately
DilutionYesNone
Best forFirms that need cashCash-rich, well-known firms seeking liquidity
⚠️
A direct listing is not a capital raise. It lists existing shares so insiders gain liquidity - no new money, no new shares. Choose direct listing only when the firm does not need fresh capital.
Facebook IPO Case

IPO Structure

May 18, 2012 on NASDAQ. Offer price: $38/share. 421M shares sold (180M primary by Facebook + 241M secondary by insiders). Gross proceeds: ~$16B. Net to Facebook: $6.4B. Net to shareholders: $8.6B. Lead underwriters: Morgan Stanley, JP Morgan, Goldman Sachs.

Dual-Class Share Structure Class A shares: 1 vote per share (sold in IPO, publicly traded) Class B shares: 10 votes per share (held by insiders, unlisted) Pre-IPO: 456M Class A (3% votes) + 1,502M Class B (97% votes) = 1,958M total Post-IPO: 636M Class A (4% votes) + 1,502M Class B (96% votes) = 2,138M total Through Class B ownership, Zuckerberg controlled 56% of all votes post-IPO despite owning a minority of economic shares. This structure lets founders retain control while raising capital - common in tech (Google, Snap, Spotify).
Was Facebook Fairly Priced at $38? Damodaran DCF valuation: $35.47 Comparable multiples (LinkedIn, Zynga, Google, Groupon): EV/EBIT average 146.8× → implied FB price $26.09 IPO price $38 > both intrinsic estimates → the course's conclusion: “DO NOT BUY at $38” First-day close: $38.23 (+0.6% - minimal underpricing). Stock fell to $18 by Sep 2012 before recovering.
Spotify Direct Listing Case

Why Direct Listing?

Spotify was cash-flow positive and did not need to raise capital. Its brand was globally recognised (70M+ users) so no roadshow was needed. A direct listing provided liquidity to existing shareholders, equal access to buyers and sellers, and market-set pricing transparency.

The real driver: Spotify was forced to list to avoid a deepening discount on $1B of convertible debt raised in March 2016. The debt carried a 5% annual coupon that increased by 1 percentage point every 6 months until listing (cap: 10%). The conversion discount started at 20% and increased by 2.5pp every 6 months. Every quarter Spotify delayed, the debt became more expensive and more dilutive.
Spotify DL Mechanics April 3, 2018 on NYSE. Reference price: $132 (not an offer price). Opening trade: $165.90 (25.7% above reference). 178M ordinary shares outstanding → $29.5B opening valuation. Advisory fees: $30M total to Goldman Sachs, Morgan Stanley, Allen & Co. No underwriting, no roadshow, no lock-up, no stabilisation (no greenshoe). Shares were not pre-sold - price was discovered by matching buy/sell orders on listing day. NYSE president: this model is unlikely to be common - Spotify is “unique” in having unlimited capital access and a worldwide brand.
Spotify Funding History (Key Rounds) Series A (2008): $21.6M | Series B (2009): $50M | Series E (2012): $100M (Goldman Sachs) Series G (2015): $526M | Convertible Note (Jan 2016): $500M | Debt (Mar 2016): $1B Multiple secondary market transactions between rounds provided early investor liquidity.
IPO vs Direct Listing: Course Comparison Table
DimensionTraditional IPODirect Listing
SharesSold to investors prior to IPO (book-building)Not available for public purchase prior to listing - trade begins on listing day
Due DiligenceIssuer retains investment banks to conduct DD and prepare filing documentsNone (no underwriter-led DD)
FilingPrepared by investment banks (S-1 registration)Domestic firms file Form 10 with SEC
Investor InterestRoadshows held by investment banks to build demandNone - relies on existing market awareness
Lock-upsYes - typically 90–180 days for insidersNone - insiders can sell immediately
StabilisationYes - banks post stabilising bids (greenshoe)None - no price support mechanism
New CapitalCompany raises fresh capital (primary shares)No new shares issued; existing holders sell
Cost7% gross spread + legal + roadshowAdvisory fees only (Spotify: $30M flat)
14D

Practice & Quiz

Worked Problems

1 Problem
Problem 1 - IPO Underpricing & Direct Listing (Medium)
ProblemTechCo IPOs at $30, day-one close $42, 10M new shares. (a) Underpricing % and money on table. (b) How would a direct listing differ?
Solution (a) Underpricing = ($42−$30)/$30 = 40%. Money = 10M×$12 = $120M. (b) Direct listing: no new shares, no $300M raised, no underwriter, no lock-up, no dilution, no underpricing transfer.

Session 14 Quiz

4 Questions
Problem 2 - Greenshoe Mechanics (Medium)
📝
Question: An underwriter offers 20M shares at $25 in a firm-commitment IPO with a standard greenshoe. (a) How many total shares are allocated to investors? (b) If the stock opens at $22, what does the underwriter do? (c) If the stock opens at $28, what does the underwriter do?
Solution (a) Greenshoe = 15% over-allotment. Total allocated = 20M × 1.15 = 23M shares. Bank is short 3M shares. (b) Stock at $22 (below offer): Bank buys 3M shares in open market at $22, covering the short. This creates buying demand, supporting the price. Bank profits: (25−22) × 3M = $9M. (c) Stock at $28 (above offer): Bank exercises greenshoe → buys 3M shares from issuer at $25 offer price → delivers to investors. Issuer raises an extra 3M × $25 = $75M.
Problem 3 - Rights Offering Valuation (Medium)
📝
Question: A firm has 500,000 shares trading at €40. It plans a rights offering of 50,000 new shares at €32. (a) What is the new market value? (b) What is the ex-rights price? (c) What is the value of one right? (d) How many rights are needed to buy one new share?
Solution (a) New MV = (500,000 × €40) + (50,000 × €32) = €20M + €1.6M = €21.6M (b) Ex-rights price = €21.6M / 550,000 = €39.27 (c) Value of one right = €40 − €39.27 = €0.73 (d) Rights needed = 500,000 / 50,000 = 10 rights per new share
🏢 McKinsey & Company

McKinsey’s M&A Playbook - The Six Archetypes of Value-Creating Acquisitions

Synthesized from McKinsey’s “The Six Types of Successful Acquisitions” (Goedhart, Koller & Wessels) and the 2024 Global Private Markets Review, framed through the course’s ACF curriculum. Every archetype is paired with real-world mini-cases and current market data.

6 Archetypes 12+ Mini Cases PE Market Context Exam Relevant

🎯 The Core Framework

McKinsey Classic · 2017
The Six Archetypes at a Glance

Acquisitions are not a strategy - they are a vehicle for strategy. McKinsey’s research shows that the most successful deals conform to at least one of these six value-creation archetypes. Vague rationales like “pursuing international scale” or “filling portfolio gaps” are red flags.

#ArchetypeCore MechanismPrimary Goal
1Improve Target PerformanceRadical operational intervention - cut costs, boost revenueMargin & ROIC expansion
2Remove Excess CapacityConsolidate industry supply, shut duplicate assetsAlign production with demand
3Accelerate Market AccessPlug subscale products into a global sales engineRapid revenue scaling
4Acquire Skills / TechnologyBuy vs. build for proprietary capabilitiesFaster time-to-market
5Industry-Specific ScalabilityExploit unique units of capacity or bargaining powerLower unit costs via unique scale
6Pick Winners EarlyVenture-style nurturing of early-stage companiesCapture future leaders before competitors

🔧 Archetype 1 - Improve the Target’s Performance

Most Common · PE Hallmark
Strategy Deep-Dive & The Math of Improvement

This is the hallmark of the best private-equity firms: buy a company, strip out inefficiencies to improve margins, and accelerate revenue growth. Analysis of “pure play” PE deals shows operating-profit margins increased by an average of 2.5 percentage points more than industry peers.

// The Math of Improvement - Why Low-Margin Targets Are Gold Low-Margin Opportunity: Target has 6% profit margin Reduce costs by 3pp → margin rises to 9% = 50% increase in value High-Margin Constraint: Target has 30% profit margin To get same 50% value increase → need margin of 45% Requires 21% cost-base reduction = rarely feasible // Takeaway: Mathematical leverage is vastly superior in low-margin targets
Mini Case: Constellation Brands / Robert Mondavi Wine Country Sim
Constellation
Constellation Brands acquires Robert Mondavi (2004)
$1.36B · Wine & Spirits · Archetype 1 + 5

Constellation extracted cost synergies from Mondavi’s bloated operations - overlapping distribution, underutilized vineyard capacity, and premium brand under-monetization. The deal combined performance improvement (cutting Mondavi’s overhead) with industry-specific scale (shared bottling, distribution networks across a broader wine portfolio).

Connection to ACF: This is the core case in the Wine Country Simulation. As Starshine, you evaluate whether a buyer like Constellation can create enough operational improvement to justify the acquisition premium.

Mini Case: Novartis (Ciba-Geigy / Sandoz Merger) McKinsey Paper
Novartis
Novartis formed from Ciba-Geigy + Sandoz (1996)
$30B mega-merger · Pharmaceuticals

Rather than defaulting to one parent’s way of operating, Novartis systematically found the “best way” across both organizations. They restructured R&D worldwide by therapeutic area (not geography), built a world-leading oncology franchise, shifted from seniority-based to performance-based compensation, and spun off the $7B Ciba Specialty Chemicals business that didn’t fit the life-sciences focus.

🏭 Archetype 2 - Remove Excess Capacity from Industry

Mature Industries
Strategy Deep-Dive & The Free-Rider Problem

In mature industries, production capability often outstrips demand. No single company wants to shut a plant - competitors would “free-ride” on the resulting price stability. M&A solves this by letting the merged entity shut the least productive assets across a larger combined footprint.

// The Free-Rider Problem in Capacity Reduction Without M&A: Company A shuts plant → Company A shrinks, B/C benefit from higher prices With M&A: A acquires B → Combined entity shuts worst plants across both → rational downsizing // WARNING: Value often accrues to the SELLER's shareholders, not the buyer's

This extends beyond factories. In pharma, merged firms prune overlapping R&D pipelines and consolidate sales forces. In banking, branch networks are rationalized post-merger.

Mini Case: Wine Country - Mid-Size Winery Consolidation ACF Simulation

The Wine Country simulation illustrates excess capacity in the US wine industry. Mid-size wineries hold vineyard acreage, bottling lines, and tasting rooms that operate well below capacity. When a consolidator like Constellation acquires multiple properties, it can shut redundant facilities, merge distribution, and rationalize grape sourcing - none of which an individual winery would do on its own.

Mini Case: Chemicals & Pharmaceuticals McKinsey Paper

Chemicals: New entrants (e.g., Saudi petrochemicals) create persistent oversupply. Acquisitions let incumbents decommission inefficient plants more decisively than any standalone company could manage, as the acquirer has a larger base over which to allocate remaining capacity.

Pharmaceuticals: Post-merger, firms routinely eliminate overlapping R&D programs (killing duplicate Phase II trials) and consolidate sales forces to match changing product portfolios. The Pfizer/Wyeth and Merck/Schering-Plough deals both involved significant capacity rationalization.

🌍 Archetype 3 - Accelerate Market Access

Revenue Synergies
Strategy Deep-Dive & The Sales Machine Logic

Innovative small firms often have great products but lack the global sales infrastructure to reach their full potential. A large acquirer creates value by plugging these “subscale” products into its existing distribution and client relationships. This can also work bilaterally, where both buyer and target open new geographies for each other.

Mini Case: IBM’s Software Acquisition Machine McKinsey Paper
IBM
IBM acquired 43 companies (2010–2013)
Avg. $350M each · Software · Revenue acceleration >40%

By pushing acquired products through IBM’s global sales force, IBM estimated it accelerated the acquired companies’ revenues by more than 40% in the first two years after each acquisition. The targets had proven products but lacked the distribution reach that IBM could provide overnight.

Mini Case: Procter & Gamble / Gillette Bilateral Access
P&G Gillette
P&G acquires Gillette (2005)
$57B · Consumer Goods · Bilateral market access

P&G had stronger sales in some emerging markets, Gillette in others. Working together, they introduced products into new markets much more quickly than either could alone. P&G used Gillette’s channel in markets where Gillette was stronger, and vice versa - a textbook bilateral access deal.

💻 Archetype 4 - Acquire Skills or Technologies

Buy vs. Build
Strategy Deep-Dive & The Speed Advantage

In rapidly evolving sectors, building a capability from scratch is a strategic liability - by the time R&D is complete, the market has moved. Successful firms use M&A to acquire technology faster and cheaper than internal development, while simultaneously keeping it away from rivals.

Mini Case: Cisco Systems - The “Buy-to-Build” Pioneer McKinsey Paper
Cisco
Cisco acquired 71 companies (1993–2001)
Avg. ~$350M · Network Technology · 40% of 2001 revenue from acquisitions

Cisco grew sales from $650M (1993) to $22B (2001), with nearly 40% of revenue coming directly from acquisitions. By 2009, Cisco had $36B in revenues and a $150B market cap. Rather than building each networking capability in-house, Cisco assembled a complete product line through disciplined technology acquisition during the Internet boom.

Mini Case: Apple’s Ecosystem Acquisitions Siri, Beats, Novauris
Apple
Apple - Strategic Technology Acquisitions
Siri (2010) · Novauris (2014) · Beats Electronics (2014)
TargetYearCapability AcquiredStrategic Rationale
Siri2010Automated personal assistantEnhance iPhone with AI assistant - building in-house would have taken years
Novauris Technologies2014Speech recognitionFurther improve Siri’s voice capabilities
Beats Electronics2014Music streaming serviceQuick pivot as market shifted from iTunes downloads to streaming

⚙️ Archetype 5 - Exploit Industry-Specific Scalability

Unique Scale · Not Generic
Strategy Deep-Dive & The Scale Myth

A common pitfall is pursuing “generic economies of scale” like back-office savings. These are rarely significant enough to justify a large acquisition. To create real value, the scale must be industry-specific. Merging two already-massive entities (e.g., UPS + FedEx) is unlikely to lower unit costs further when both already operate world-class fleets.

True scalability comes in two forms:

Form 1 - Shared High-Cost Platforms Spread enormous fixed development costs across multiple brands/products Example: VW/Audi/Porsche sharing one SUV platform Form 2 - Purchasing Power Few buyers in a differentiated market = massive bargaining leverage Example: US cable companies negotiating TV programming costs
Mini Case: Volkswagen / Audi / Porsche Platform Sharing McKinsey Paper
VW Audi Porsche
VW Group - Shared Platform Strategy
VW Touareg · Audi Q7 · Porsche Cayenne - one platform, three brands

The cost to develop a new car platform is enormous. By combining VW, Audi, and Porsche under one group, all three share the same underlying SUV platform. Each brand maintains its identity and price positioning while spreading billions in development costs across three models instead of one - the definition of industry-specific scale.

Mini Case: LVMH / Tiffany - Luxury Scale ACF Session 3
LVMH Tiffany
LVMH acquires Tiffany & Co. (2021)
$15.8B · Luxury · Archetype 3 + 5

LVMH’s acquisition of Tiffany combined Archetype 3 (market access - deploying Tiffany through LVMH’s global retail and travel retail network) with Archetype 5 (industry-specific scale - shared luxury supply chain, high-jewelry craftsmanship, and advertising buying power that only a $400B+ luxury conglomerate can leverage). LVMH’s strategic debt structure funded the deal without diluting equity - a key topic in our Session 3 analysis.

🌟 Archetype 6 - Pick Winners Early

Venture Mindset
Strategy Deep-Dive & The Three Disciplines

This archetype requires a venture-capital mindset: identifying and buying companies early in their life cycle, long before the industry recognizes their full potential. It demands three disciplines:

1. Early Investment - Willingness to move before competitors see the potential 2. Risk Management - Making multiple bets; expecting that some will fail 3. Nurturing - Management patience to develop the business over a decade+
Mini Case: Johnson & Johnson / DePuy McKinsey Paper
J&J
J&J acquires DePuy (1998)
$900M at acquisition → $5.6B revenue by 2010 · 17% CAGR

J&J purchased the orthopedic-device maker when it had just $900M in revenue. Through patient nurturing, DePuy grew to $5.6B by 2010 - a 17% annual growth rate over 12 years. J&J then doubled down, acquiring Synthes (another ortho-device maker) in 2011 to dominate the space.

Mini Case: Roll-Up Strategies - Service Corp & Clear Channel Harder Strategies

Related to picking winners: roll-up strategies consolidate highly fragmented markets where competitors are too small to achieve scale. These are a “harder strategy” per McKinsey, but can work when executed with discipline:

CompanyIndustryStrategyScale Achieved
Service Corp InternationalFuneral homesRoll-up from 1 location (1960s)1,400+ funeral homes & cemeteries by 2008
Clear ChannelRadio stationsConsolidated fragmented US radio900+ stations at peak

⚠️ Critical Warning - The Winner’s Curse & Overpaying

Risk Framework
Why Even Perfect Logic Fails If You Overpay

On average, a buyer must pay a 30% premium over market price to gain control. If strategic benefits don’t significantly exceed this premium, you destroy value for your own shareholders. In competitive auctions, the “winner” is often simply the bidder who most wildly overestimated synergies.

// Red Flag Checklist (the course’s Framework) ✗ Competitive Auctions - Multiple bidders drive price beyond actual synergy value ✗ Hubris - Management overstates “special ability” to fix what others couldn’t ✗ Market Bubbles - Buying when prices are artificially high (late-1990s tech) ✗ Vague Rationales - Cannot point to one of the six archetypes ✓ ACF Exam Tip: If the stated rationale is “growth” or “strategic positioning” without mapping to a specific archetype, flag it as a red flag in your analysis.
Mini Case: Elon Musk / Twitter - Overpay in Action ACF Session 11
X/Twitter
Elon Musk acquires Twitter (2022)
$44B · Social Media · 38% premium · Winner’s Curse exemplar

Musk’s Twitter acquisition is studied in ACF Session 11 as a cautionary tale. The strategic logic was ambiguous - “free speech platform” and “super-app” aspirations don’t map cleanly to any of the six archetypes. The 38% premium was paid with significant leverage ($13B in debt), and the company’s revenue declined substantially post-acquisition. A textbook case of hubris-driven dealmaking.

📈 PE Market Context - McKinsey 2024 Global Private Markets Review

Market Data
2023 Private Markets Landscape - Key Numbers

The macro context matters for every deal archetype. McKinsey’s 2024 report paints the picture of a market in transition:

$13.1TPM AUM (Jun 2023)
$3.7TDry Powder
-22%Fundraising YoY
11.0xBuyout Entry Multiple
2.5%PE Net IRR (9mo 2023)
6.8yrAvg Holding Period
The Value Creation Shift - From Multiple Expansion to Operations

This is perhaps the most exam-relevant insight from the McKinsey PE report: the decade of easy returns is over.

// Historical Return Drivers (Buyout Deals 2010–2021, StepStone data) Invested Capital: 1.0x + Revenue Growth: +0.7x + EBITDA Margin Expansion: +0.2x + Market EBITDA Multiple Expansion: +0.7x - GP Multiple Contraction: -0.3x - Debt Paydown + Dividends: -0.2x = Unlevered Return: 2.0x + Leverage Effect: +1.0x = Levered Return: 3.0x // ~67% of total return came from leverage + market multiple expansion // With falling multiples & higher rates, Archetype 1 (performance improvement) // becomes the CRITICAL differentiator for current-vintage deals

PE entry multiples declined from 11.9x to 11.0x EBITDA in 2023. Technology multiples fell nearly 3 turns in two years after expanding 8+ turns from 2009–2021. US buyout leverage dropped ~1 turn (large corporate: 7.1x to 5.9x). This means operational alpha - Archetype 1 - is no longer optional; it’s the primary path to returns.

Add-On Deals & The Rise of Archetype 2+5 Hybrid Strategies

Non-platform (add-on) deals hit a record 46% of total buyout deal volume in 2023 and 70% of deal count. This trend combines Archetype 2 (removing excess capacity in fragmented niches) with Archetype 5 (industry-specific scale through bolt-on acquisitions). GPs use add-ons to benefit from multiple arbitrage - buying smaller businesses at lower multiples and folding them into a platform valued at a higher multiple.

// Add-On Multiple Arbitrage Logic Platform company trades at: 12x EBITDA Add-on acquired at: 7x EBITDA (smaller = lower multiple) If properly integrated: Add-on EBITDA re-rated at platform multiple Value created = (12x - 7x) × Add-on EBITDA = 5x spread × EBITDA

✅ Strategic Logic Test - Exam Checklist

The course Framework
The 5-Point Deal Evaluation Framework

Use this checklist to evaluate any deal in the ACF exam or case competition. If it doesn’t pass these checkpoints, the strategic logic is flawed:

#TestQuestion to AskRed Flag If…
1Tangible LogicWhich of the 6 archetypes is being used?Rationale is “growth” or “strategic positioning” without specifics
2Unique ScaleIs the scale industry-specific (like VW platforms)?Only generic back-office savings cited
3Realistic MathIs the buyer improving a low-margin or high-margin target?Attempting 50%+ value increase on a 30% margin business
4Price DisciplineDo documented synergies exceed the 30% control premium?Synergy estimates are vague or unquantified
5Winner’s CurseIs this a competitive auction with multiple bidders?Buyer “won” an auction by being most aggressive
The Verdict: M&A is a tool, not a strategy. The board will only support a deal if the “why” is as concrete as the price tag. If you cannot articulate the value creation in terms of these six archetypes, the deal should not be done.
Exam Prep - the course

Exam Cram: Master Formula Sheet

Every formula, key number, and decision rule you need for the ACF II exam. Organised by topic across all 12 sessions. Use this as your final-pass review before sitting down.

DCF & APVM&A MechanicsOptions & HedgingLBO & PEIPOs

Official Formula Sheet

Exam Reference
📜
Corporate Finance - Formula Sheet
This is the official formula reference distributed in the course. All exam formulas are drawn from this sheet.
Bond Valuation Bond Value = Σ Coupon / (1+r)t + Par Value / (1+r)T
Unlever & Relever Beta (Hamada) βL = βU × (1 + (1−t) × D/E) Unlever: βU = βL / [1 + (1−t) × D/E] Relever: plug target D/E into the formula above
Terminal Value as a Growing Perpetuity TV = FCFn × (1+g) / (WACC − g) Equivalent form: TV = FCFn+1 / (WACC − g) Both give the same answer - FCFn+1 already has growth baked in.
Value of a Project (DCF) Value = Σt=1n FCFt / (1+WACC)t + Terminal Value / (1+WACC)n
Free Cash Flow (from EBIT - to the Firm) EBIT − Taxes on EBIT = NOPLAT + Depreciation & Amortisation − Capital Expenditures − Working Capital Needs = FREE CASH FLOW (FCF)
Free Cash Flow to Equity (FCFE) - from Net Income Net Income + Depreciation & Amortisation = Cash Flows from Operations to Equity Investors − Preferred Dividends − Capital Expenditures − Working Capital Needs − Principal Repayments + Proceeds from New Debt Issues = FREE CASH FLOW TO EQUITY (FCFE)
FCFE - from EBIT (bridge from FCF) FCF (from above) − Interest Expense × (1−t) − Principal Repayments + Proceeds from New Debt Issues − Preferred Dividends = FREE CASH FLOW TO EQUITY (FCFE) Key distinction: FCF = cash available to ALL capital providers (debt + equity). FCFE = cash available to EQUITY holders only (after debt service). Discount FCF at WACC. Discount FCFE at Ke (cost of equity).

M&A Process & Value Creation

Sessions 1–3
Value Creation Identity Value created for acquirer = PV(Synergies) − Premium Paid Premium Paid = Offer Price − Target Standalone Value McKinsey’s 6 Acquisition Archetypes 1. Improve target’s performance (operational fix) 2. Remove excess capacity from industry 3. Accelerate market access for target’s products 4. Acquire skills or technologies faster than building 5. Exploit industry-specific scalability 6. Pick winners early and help them develop Strategic buyer pays more than financial (synergies). Broad auction maximises price; targeted process trades price for speed & confidentiality. Sell-side: Teaser → NDA → CIM → IOIs → Mgmt Pres → Final Bids → SPA Buy-side: Screening → Preliminary Val → Due Diligence → Bid → Negotiate → Close

DCF & WACC Valuation

Sessions 2 & 5
Unlevered Free Cash Flow (UFCF): EBIT × (1−t) = NOPAT + D&A − Capex − ΔNWC (increase = cash USE) = Unlevered Free Cash Flow Terminal Value: Gordon Growth: TV = FCFn × (1+g) / (WACC − g) Exit Multiple: TV = EBITDAn × Exit Multiple Enterprise Value & Equity Bridge: EV = Σ PV(FCFs) + PV(Terminal Value) Equity Value = EV − Total Debt + Cash + Non-op Assets + Holdings WACC: WACC = [E/(D+E)] × Ke + [D/(D+E)] × Kd × (1−t) CAPM & Beta: Ke = Rf + βL × MRP βU = βL / [1 + (1−t) × D/E] (Hamada unlever) βL = βU × [1 + (1−t) × D/E] (Hamada relever) Always run sensitivity: WACC vs terminal growth rate 2D table. TV typically 60–80% of total DCF value. NWC: DSO = A/R÷Revenue×365 | DIH = Inv÷COGS×365 | DPO = A/P÷COGS×365

APV (Adjusted Present Value)

Session 5
APV = Value(Unlevered Firm) + PV(Interest Tax Shields) Unlevered Firm Value: Σ FCFt / (1+Ca)t + TV / (1+Ca)N where Ca = unlevered cost of equity (CAPM with βU) PV of Tax Shields: Annual tax shield = t × Cd × D Discount at Cd (fixed debt) or Ca (debt proportional to value) TV of tax shields = TSn / Ca (perpetuity) From APV to Equity: Equity = APV − Debt + Excess Cash + Non-op Assets APV = WACC result when capital structure is stable. Use APV when leverage changes (LBOs, project finance, leveraged recaps). APV makes financing effects transparent - preferred in the course for changing D/E.

Exchange Ratios & Accretion/Dilution

Session 4
Exchange Ratio (all-stock deal): ER = Offer Price per Target Share / Acquirer Share Price New Shares Issued: = Target Shares × ER EPS Accretion/Dilution: Pro Forma EPS = (Acquirer NI + Target NI + Synergies − Financing Costs) / (Acquirer Shares + New Shares) Accretive: PF EPS > Standalone EPS Dilutive: PF EPS < Standalone EPS All-Stock P/E Rule: Target P/E < Acquirer P/E → Accretive (even without synergies) Target P/E > Acquirer P/E → Dilutive Mixed Consideration: % Cash ↑ reduces dilution but increases balance-sheet leverage. Break-even synergy = dilution × total PF shares Goodwill = Purchase Price − Net Identifiable Assets (at FV) DTL (Deferred Tax Liability) = Asset Write-Up × Tax Rate Control Premium = Offer ÷ Undisturbed Price − 1 (typically 20–40%)

Convertible Securities

Session 7
Conversion Ratio = Par Value / Conversion Price Conversion Value = Conversion Ratio × Current Stock Price Conversion Premium = (Conversion Price − Stock Price) / Stock Price Value Floor: Convertible Value = MAX(Straight Bond Value, Conversion Value) + Option Premium (time value) Break-even Analysis: Income advantage = Conv. Coupon − (Conv. Ratio × Dividend per Share) Payback period = Conversion Premium / Income Advantage Issuer motivation: lower coupon than straight debt + delayed dilution. Investor motivation: downside protection (bond floor) + equity upside. Forced conversion: issuer calls when stock price > conversion price (stock trades above call price).

ABS & Securitisation

Session 7
Securitisation Waterfall: Pool Cash Flows → Senior Tranche (AAA) → Mezzanine → Equity (first-loss) Credit enhancement = subordination + overcollateralisation + excess spread Key Metrics: WAC (Weighted Avg Coupon) = Σ(loan rate × balance) / Σ(balance) WAM (Weighted Avg Maturity) = Σ(maturity × balance) / Σ(balance) CPR (Conditional Prepayment Rate): annualised prepayment speed SMM = 1 − (1 − CPR)1/12 SPV isolation: bankruptcy-remote, true sale of assets. Tranche coupon < discount rate → trades below par. Tranche coupon > discount rate → trades above par. Senior tranche absorbs losses LAST; equity tranche absorbs FIRST.

Options & Black-Scholes

Session 8
Put-Call Parity (European): C + PV(K) = P + S ⇒ P = C − S + K / (1+r)T Black-Scholes Call: C = S × N(d1) − K × e−rT × N(d2) d1 = [ln(S/K) + (r + σ²/2)T] / (σ√T) d2 = d1 − σ√T Greeks (Exam Intuition): Delta (Δ) = ∂C/∂S ≈ N(d1) for call (0 to 1) Gamma (Γ) = ∂Δ/∂S (highest ATM, near expiry) Theta (Θ) = time decay (negative for long options) Vega (v) = sensitivity to σ (positive for long options) Higher σ → higher option value (both calls and puts). Longer T → higher value (more time for favourable moves). Higher r → higher call value, lower put value. American call on non-dividend stock: never exercise early (time value > 0).

Hedging: Forwards, Futures & Currency

Session 9
Forward Price (Cost of Carry): F0 = S0 × (1 + r)T (with continuous compounding: F = S × erT) Covered Interest Parity (CIP): F/S = (1 + rd)T / (1 + rf)T F = forward rate, S = spot rate, rd = domestic, rf = foreign Hedging Decision Framework: Long hedge (buy futures): lock in purchase price (importer, commodity buyer) Short hedge (sell futures): lock in sale price (exporter, producer) Hedge Ratio: Number of contracts = (Exposure × β) / (Contract size × futures price) For FX: # contracts = Foreign currency exposure / Contract notional Basis risk: hedge imperfect when futures ≠ exact underlying. Mark-to-market: futures have daily settlement; forwards settle at expiry. Pixonix case: hedging USD receivables with EUR-based firm using forward contracts.

Private Equity & Venture Capital

Session 10
Pre-Money / Post-Money: Post-Money = Pre-Money + Investment Ownership % = Investment / Post-Money VC Return Mechanics: Required ownership = Investment × (1+r)n / Exit Value Dilution adjustment: target higher initial % to account for future rounds Fund Economics (2 and 20): Management fee = 2% of committed capital (annual) Carried interest = 20% of profits above hurdle rate (typically 8%) GP commitment = 1–5% of fund Preferred return (hurdle): LPs get 8% before GP takes carry DPI / RVPI / TVPI: DPI = Distributions / Paid-In Capital (cash-on-cash, realised) RVPI = Residual Value / Paid-In Capital (unrealised) TVPI = DPI + RVPI (total value, net of fees) J-curve: negative returns in early years (fees + unrealised), improving as exits occur. Vintage year diversification reduces J-curve and timing risk. PE exits: trade sale, secondary buyout, IPO, dividend recap.

LBO Mechanics & Returns

Sessions 11–12
Sources = Uses (must balance): Sources: Senior Debt + Sub Debt + Mezzanine + Equity = Uses: Purchase Price + Fees + Refinanced Debt Entry & Exit: Entry EV = Entry Multiple × EBITDA Exit EV = Exit Multiple × Exit EBITDA Exit Equity = Exit EV − Net Debt at Exit Returns: MOIC = Exit Equity / Entry Equity IRR = MOIC1/n − 1 (approximation for single cash flow) Value Creation Bridges: ΔEBITDA growth + ΔMultiple expansion + Debt paydown = Total value creation IRR decomposition: revenue growth + margin expansion + leverage + multiple Lender Tests (Debt Capacity): Leverage Multiple: Total Debt / EBITDA ≤ limit (typ. 4–6×) ICR: EBITDA / Interest Expense ≥ 2.0–3.0× DSCR: (EBITDA − Capex) / (Interest + Scheduled Amort.) ≥ 1.2× LTV: Debt / Collateral Value ≤ 70–80% Ideal LBO target: stable cash flows, low capex, hard assets, market leader. Target IRR: 20%+ | MoM benchmarks: 2×≈15%, 2.5×≈20%, 3×≈25% (5yr) Debt repayment order: Revolver → TLA (amort.) → TLB (cash sweep) → Notes (bullet)

IPOs, Exits & Equity Issuance

Session 14
IPO Pricing & Underpricing: Offer Price = negotiated between issuer & underwriters (book-building) First-day return (“underpricing”) = (Close − Offer) / Offer Money left on table = (Close − Offer) × Shares Sold Issue Methods: Firm Commitment: bank buys issue outright, resells at retail (most common for large deals) Best Efforts: bank acts as agent, commission per share, no inventory risk (smaller IPOs) Dutch Auction: investors bid quantity & price; clearing price sells all shares Rights Issue: new shares offered to existing shareholders at a discount; preserves control Greenshoe (Over-allotment Option): 15% over-allotment → bank allocates 115%, takes delivery of 100% → naked short of 15% Price rises: exercise greenshoe → buy from issuer at offer price Price falls: buy in open market → covers short, supports price, bank profits on spread Rights Offering: New MV = (Old Shares × Old Price) + (New Shares × Subscription Price) Ex-rights Price = New MV / Total Shares Value of Right = Cum-rights Price − Ex-rights Price Direct Listing vs Traditional IPO: DL: no new shares, no underwriter, no lock-up, no roadshow, no stabilisation IPO: new shares issued, underwriter sets price, 90–180 day lock-up, greenshoe IPO Costs: Direct: gross spread (mgmt + underwriting + selling fee), legal, roadshow, SEC registration Indirect: disclosure burden, governance impact, information management, failure risk Facebook IPO: Dual-class (A=1 vote, B=10 votes). Zuckerberg 56% votes post-IPO. DCF $35.47 | Multiples $26.09 | Offer $38 → “DO NOT BUY” Spotify DL: $1B conv. debt (5% +1pp/6mo, 20% discount +2.5pp/6mo). Forced to list. Reference $132 → open $165.90. Advisory: $30M flat. PE Exit Routes: Trade sale | Secondary buyout | IPO | Dividend recapitalisation Div recap: company issues new debt, pays special dividend to sponsor. NOT an exit. Lock-up: 90–180 days. Quiet period: 25–40 days. Winner’s curse: uninformed get full allocation of overpriced IPOs. Primary shares: cash to company. Secondary shares: cash to selling shareholders. Larger issues have proportionately lower costs. Rights offerings cheaper than general cash offers.

Exam Day Decision Rules

Critical Reminders

Always Know These Numbers

Control premium: 20–40%. LBO leverage: 60–70% debt. Sponsor IRR target: 20%+. TV as % of DCF: 60–80%. PE fund life: 10 years. Carry: 20% above 8% hurdle. Greenshoe: 15%.

APV vs WACC

Same result if capital structure is stable. APV when leverage changes (LBOs). WACC embeds tax shield in discount rate. APV separates it. Ca > WACC because Ca has no tax benefit of debt.

FCF Direction Rules

Current asset ↑ = cash USE. Current liability ↑ = cash SOURCE. D&A added back (non-cash). Capex subtracted (real cash). Stock-based comp added back. These directions are the most commonly confused.

Option Value Drivers

Call value rises with: higher S, lower K, higher σ, longer T, higher r. Put value rises with: lower S, higher K, higher σ, longer T, lower r. Both rise with volatility - always.

Reference & Practice

Formula Drills

Every exam-relevant formula with a mini numerical problem to drill the concept. Cover the solution, work the problem, then check. If you can do every drill here cold, you can do the exam.

DCF & APVM&AOptionsHedgingLBOPE & IPO

DCF & WACC (Sessions 2 & 5)

8 Drills
1  Unlevered Free Cash Flow (UFCF)
UFCF = EBIT(1−t) + D&A − Capex − ΔNWC
Drill EBIT = €200M, t = 25%, D&A = €40M, Capex = €55M, ΔNWC = €15M. Find UFCF. Solution: NOPAT = 200 × 0.75 = €150M UFCF = 150 + 40 − 55 − 15 = €120M
2  Terminal Value (Gordon Growth vs Exit Multiple)
GGM: TV = FCFn(1+g) / (WACC − g) EMM: TV = EBITDAn × Exit Multiple
Drill Terminal FCF = €80M, WACC = 9%, g = 2%. Terminal EBITDA = €120M, exit multiple = 8.0×. Solution: GGM: TV = 80 × 1.02 / (0.09 − 0.02) = 81.6 / 0.07 = €1,166M EMM: TV = 120 × 8.0 = €960M Cross-check: 21% gap - explore which assumptions drive the difference.
3  WACC
WACC = wE × Ke + wD × Kd × (1−t)
Drill Equity MV = €600M (Ke = 11%), Debt MV = €400M (Kd = 5%), Tax = 25%. Solution: wE = 600/1000 = 0.60, wD = 400/1000 = 0.40 WACC = 0.60 × 11% + 0.40 × 5% × 0.75 = 6.6% + 1.5% = 8.1%
4  CAPM & Cost of Equity
Ke = Rf + βL × MRP
Drill Rf = 3.5%, βL = 1.3, Market Risk Premium = 6%. Find Ke. Solution: Ke = 3.5% + 1.3 × 6% = 3.5% + 7.8% = 11.3%
5  Unlever / Relever Beta (Hamada)
βU = βL / [1+(1−t) × D/E] βL = βU × [1+(1−t) × D/E]
Drill Peer has βL = 1.40, D/E = 0.50, t = 30%. Unlever, then relever at target D/E = 0.30. Solution: βU = 1.40 / [1 + 0.70 × 0.50] = 1.40 / 1.35 = 1.037 βL = 1.037 × [1 + 0.70 × 0.30] = 1.037 × 1.21 = 1.255
6  Equity Bridge (EV to Equity Value)
Equity Value = EV − Debt + Cash + Non-op Assets
Drill EV = €2,400M. Total Debt = €800M. Cash = €150M. Holdings in affiliates = €50M. Shares = 100M. Solution: Equity = 2,400 − 800 + 150 + 50 = €1,800M Price/share = 1,800 / 100 = €18.00
7  APV - Unlevered Value + Tax Shields
APV = VU + PV(Tax Shields) VU = Σ FCF/(1+Ca)t TS = t × Cd × D
Drill VU = €500M (discounted at Ca). Debt = €200M (permanent), Cd = 5%, t = 25%. Solution: Annual tax shield = 0.25 × 0.05 × 200 = €2.5M PV(TS) perpetuity at Cd: 2.5 / 0.05 = €50M APV = 500 + 50 = €550M
8  NWC Drivers (DSO / DIH / DPO)
DSO = (A/R ÷ Revenue) × 365 DIH = (Inventory ÷ COGS) × 365 DPO = (A/P ÷ COGS) × 365 CCC = DSO + DIH − DPO
Drill Revenue = €800M, COGS = €500M. A/R = €66M, Inventory = €41M, A/P = €34M. Solution: DSO = (66/800) × 365 = 30 days DIH = (41/500) × 365 = 30 days DPO = (34/500) × 365 = 25 days CCC = 30 + 30 − 25 = 35 days

M&A: Exchange Ratios & Accretion (Session 4)

4 Drills
9  Exchange Ratio
ER = Offer Price / Acquirer Share Price
Drill Acquirer trades at $50. Offers target shareholders $36/share (20% premium on $30 stock). All-stock deal. Solution: ER = $36 / $50 = 0.720 Each target share receives 0.72 acquirer shares.
10  EPS Accretion / Dilution
PF EPS = (ANI + TNI + Synergies − Finance Cost) / (Ashares + New Shares)
Drill Acquirer: 200M shares, EPS $3.00 (NI $600M). Target: NI $100M. ER = 0.70, target has 100M shares. Post-tax synergies = $20M. No financing cost. Solution: New shares = 100M × 0.70 = 70M. Total = 270M. PF NI = $600 + $100 + $20 = $720M PF EPS = $720 / 270 = $2.67 < $3.00 → Dilutive by $0.33
11  Goodwill & DTL
Goodwill = Purchase Price − Fair Value of Net Identifiable Assets DTL = Asset Write-up × Tax Rate
Drill Purchase price = €1,200M. Book equity = €600M, asset write-ups = €150M, t = 25%. Solution: FV net assets = 600 + 150 = €750M DTL = 150 × 0.25 = €37.5M Adjusted net assets = 750 − 37.5 = €712.5M Goodwill = 1,200 − 712.5 = €487.5M
12  Control Premium
Premium = (Offer Price / Undisturbed Price) − 1
Drill LVMH offered $135/share for Tiffany. Undisturbed price (pre-leak): $98.55. Solution: Premium = ($135 / $98.55) − 1 = 1.370 − 1 = 37.0%

Convertible Securities & ABS (Session 7)

3 Drills
13  Conversion Value & Premium
Conv. Ratio = Par / Conv. Price Conv. Value = Ratio × Stock Price Conv. Premium = (Conv. Price − Stock Price) / Stock Price
Drill Convertible bond: $1,000 par, conversion price $40. Stock = $35. Solution: Ratio = 1,000 / 40 = 25 shares Conv. Value = 25 × $35 = $875 Premium = ($40 − $35) / $35 = 14.3%
14  Convertible Break-even Payback
Income Advantage = Coupon − (Conv. Ratio × Dividend/Share) Payback = (Bond Price − Conv. Value) / Income Advantage
Drill Bond price = $1,050, conv. value = $875. Coupon = $50/yr. Conv. ratio = 25. Dividend = $0.80/share. Solution: Income advantage = 50 − (25 × 0.80) = 50 − 20 = $30/yr Payback = (1,050 − 875) / 30 = 175 / 30 = 5.8 years
15  ABS Tranche Pricing
Tranche trades above par when: Tranche coupon > Discount rate Tranche trades below par when: Tranche coupon < Discount rate
Drill Senior tranche: $100M face, 4% coupon, 2yr WAL, market yield for AAA = 3%. Price the tranche. Solution: CF Year 1 = $4M, CF Year 2 = $104M PV = 4/1.03 + 104/1.03² = 3.88 + 98.06 = $101.94M (above par - coupon > yield)

Options & Black-Scholes (Session 8)

4 Drills
16  Put-Call Parity
C + PV(K) = P + S   ⇒   P = C − S + K/(1+r)T
Drill European call = €8, K = €100, r = 5%, T = 1 year. Stock = €102. Find the put price. Solution: P = 8 − 102 + 100/1.05 = 8 − 102 + 95.24 = €1.24
17  Black-Scholes d1 and d2
d1 = [ln(S/K) + (r + σ²/2)T] / (σ√T) d2 = d1 − σ√T C = S·N(d1) − Ke−rT·N(d2)
Drill S = $50, K = $50, r = 5%, σ = 30%, T = 1. Find d1 and d2. Solution: d1 = [ln(1) + (0.05 + 0.09/2)(1)] / (0.30 × 1) = [0 + 0.095] / 0.30 = 0.3167 d2 = 0.3167 − 0.30 = 0.0167 Look up N(0.32) ≈ 0.6255 and N(0.02) ≈ 0.5080 to price the call.
18  Protective Put (Floor Strategy)
Protective Put = Long Stock + Long Put Max loss = S0 − K + Premium paid Break-even = S0 + Premium
Drill Buy stock at €50. Buy put: K = €45, premium = €3. Find max loss and break-even. Solution: Max loss = 50 − 45 + 3 = €8 (stock drops to zero, put pays 45, minus 3 premium) Break-even = 50 + 3 = €53 (stock must rise to cover put premium)
19  Option Greeks - Delta Hedge
Shares to hedge = −Noptions × Δ Δcall = N(d1) Δput = N(d1) − 1
Drill You sold 1,000 call options. Delta = 0.60. How many shares to delta-hedge? Solution: Buy 1,000 × 0.60 = 600 shares If stock rises $1, calls lose $600, shares gain $600 - net zero.

Hedging & Currency (Session 9)

3 Drills
20  Covered Interest Parity (CIP)
F/S = (1 + rd)T / (1 + rf)T
Drill EUR/USD spot = 1.10. EUR rate = 3%, USD rate = 5%. 1-year forward? Solution: F = 1.10 × (1.03 / 1.05) = 1.10 × 0.9810 = 1.0790 EUR strengthens vs USD in forward (higher USD rate depreciates USD forward).
21  Forward Hedge P&L
Hedge P&L = (Forward Rate − Spot at Expiry) × Notional Long forward: profit if spot > forward Short forward: profit if spot < forward
Drill Pixonix (EUR firm) has $5M receivable in 6 months. Sells USD forward at 1.08 EUR/USD. Spot at expiry = 1.12. Solution: Hedged EUR received = $5M / 1.08 = €4.630M Unhedged would be = $5M / 1.12 = €4.464M Hedge benefit = 4.630 − 4.464 = €166K saved
22  Hedge Ratio (Futures Contracts)
# Contracts = (Exposure × β) / (Contract Size × Futures Price)
Drill Portfolio value = €10M, β = 1.2. EuroStoxx futures = 4,000, multiplier = €10/point. Hedge the portfolio. Solution: Contract value = 4,000 × 10 = €40,000 # Contracts = (10,000,000 × 1.2) / 40,000 = 300 contracts (sell short)

PE & Venture Capital (Session 10)

3 Drills
23  Pre-Money / Post-Money
Post-Money = Pre-Money + Investment Ownership % = Investment / Post-Money
Drill VC invests €5M at a pre-money valuation of €15M. Solution: Post-money = 15 + 5 = €20M Ownership = 5 / 20 = 25%
24  Carried Interest (GP Economics)
Carry = 20% × (Fund Returns − Preferred Return) GP Total = Management Fee + Carry + GP Commitment Return
Drill €500M fund. 8% preferred return. Fund returns €900M after 5 years. What does the GP earn in carry? Solution: Preferred = €500M × 1.085 = €500 × 1.469 = €735M Excess = €900 − €735 = €165M Carry = 20% × 165 = €33M
25  TVPI / DPI / RVPI
DPI = Distributions / Paid-In (realised, cash-on-cash) RVPI = Residual Value / Paid-In (unrealised) TVPI = DPI + RVPI (total value)
Drill €200M committed, €180M called. Distributions to date = €150M. Residual NAV = €90M. Solution: DPI = 150 / 180 = 0.83× RVPI = 90 / 180 = 0.50× TVPI = 0.83 + 0.50 = 1.33×

LBO Analysis (Sessions 11–12)

4 Drills
26  Sources = Uses
Debt + Equity = Purchase Price + Fees + Refinanced Debt
Drill Target EV = €800M (8.0× × €100M EBITDA). Existing debt = €150M. Fees = €30M. Debt = 65% of total sources. Solution: Uses = 800 + 150 + 30 = €980M Debt = 65% × 980 = €637M. Equity = €343M (35%)
27  LBO Returns: MOIC & IRR
Exit Equity = Exit EBITDA × Exit Multiple − Net Debt at Exit MOIC = Exit Equity / Entry Equity IRR ≈ MOIC1/n − 1
Drill Entry: 8.0× on €100M EBITDA. 60% debt (€480M), 40% equity (€320M). 5 years: EBITDA grows to €140M, debt paid to €200M. Exit at 7.5×. Solution: Exit EV = 7.5 × 140 = €1,050M Exit Equity = 1,050 − 200 = €850M MOIC = 850 / 320 = 2.66× IRR = 2.660.20 − 1 = 21.6%
28  Interest Coverage Ratio (ICR) & Debt Capacity
ICR = EBITDA / Interest Expense DSCR = (EBITDA − Capex) / (Interest + Scheduled Amort.) Max Debt = (EBITDA / Min ICR − Existing Interest) / New Debt Rate
Drill EBITDA = €50M. Existing interest = €10M. Lender requires ICR ≥ 3.0×. New debt costs 6%. Solution: Max total interest = 50 / 3.0 = €16.67M Interest headroom = 16.67 − 10 = €6.67M Max additional debt = 6.67 / 0.06 = €111M
29  LBO Value Creation Bridge
ΔEquity = ΔEBITDA × Multiple + EBITDA × ΔMultiple + Debt Paydown
Drill Entry: EBITDA €100M at 8.0×. Exit: EBITDA €130M at 7.5×. Debt paydown = €250M. Solution: EBITDA growth = (130−100) × 8.0 = +€240M Multiple compression = 130 × (7.5−8.0) = −€65M Debt paydown = +€250M Total equity gain = 240 − 65 + 250 = +€425M

IPO Mechanics & Exits (Session 14)

4 Drills
30  IPO Underpricing & Proceeds
Underpricing = (First-day Close − Offer Price) / Offer Price Money Left on Table = (Close − Offer) × Shares Sold Gross Proceeds = Offer Price × Shares Issued
Drill Facebook IPO: offer at $38, first-day close at $38.23. Sold 421M shares (incl. greenshoe). Spotify DL: reference $132, first trade $165.90. Solution: FB underpricing = (38.23 − 38) / 38 = 0.6% (very tight pricing) FB money left = 0.23 × 421M = $96.8M Spotify first-day pop = (165.90 − 132) / 132 = 25.7% (no issuer dilution in DL)
31  Rights Offering: Ex-Rights Price & Value of a Right
New MV = (Old Shares × Old Price) + (New Shares × Sub Price) Ex-Rights Price = New MV / Total Shares Right Value = Cum-Rights Price − Ex-Rights Price
Drill 200,000 shares at $25 each. Issuing 10,000 new shares at $20. Solution: New MV = (200,000 × $25) + (10,000 × $20) = $5,200,000 Ex-rights price = $5,200,000 / 210,000 = $24.76 Right value = $25.00 − $24.76 = $0.24
32  Greenshoe Stabilisation P&L
Over-allotment = Base Deal × 15% Price falls: Profit = (Offer − Market) × Over-allotment shares Price rises: Issuer raises = Offer Price × Over-allotment shares
Drill IPO: 30M shares at €20, 15% greenshoe. Stock opens at €17. Solution: Over-allotment = 30M × 15% = 4.5M shares short Price fell → bank buys 4.5M at €17 in open market Profit = (20 − 17) × 4.5M = €13.5M
33  Dividend Recap: DPI Impact
Post-recap DPI = (Prior Distributions + Recap Dividend) / Paid-In Capital Effective equity at risk = Entry Equity − Recap Dividend
Drill PE fund invested €200M equity. No prior distributions. Company issues €150M new debt, pays as special dividend. Solution: DPI = €150M / €200M = 0.75× Equity at risk = €200M − €150M = €50M Any exit above €0 generates return on €50M effective equity, boosting MOIC.

Mock Exam Mode

Three timed mock exams mirroring the course's ACF format: 25–30 questions, 50–60 minutes. Pass mark: 60%. Topics span all 12 sessions - M&A, valuation, derivatives, PE, LBOs, and IPOs.

Reference

Glossary of Terms & Abbreviations

Every abbreviation, formula variable, and technical term used across the ACF II Course - with full names and concise definitions. Sorted alphabetically.

TermFull FormDefinition
ABSAsset-Backed SecuritiesSecurities backed by a pool of financial assets (mortgages, auto loans, credit cards) that have been transferred to a Special Purpose Vehicle. Cash flows from the pool are distributed to tranches with different risk/return profiles.
APVAdjusted Present ValueValuation method that separates the value of an unlevered firm (VU) from the present value of financing side effects (tax shields). APV = VU + PV(Tax Shields). Preferred when capital structure changes over time.
BSMBlack-Scholes-Merton ModelOptions pricing model: C = S·N(d1) − Ke−rT·N(d2). Uses five inputs: stock price (S), strike (K), risk-free rate (r), time to expiry (T), and volatility (σ).
CaCost of Assets / Unlevered Cost of EquityThe discount rate for an all-equity (unlevered) firm. Calculated via CAPM using βU. Always higher than WACC because Ca does not include the tax benefit of debt. Used in APV to discount free cash flows.
CAPMCapital Asset Pricing ModelKe = Rf + βL × MRP. Determines the cost of equity based on systematic risk (β), the risk-free rate, and the market risk premium.
CCCCash Conversion CycleCCC = DSO + DIH − DPO. Measures the number of days it takes to convert inventory and receivables into cash, net of payables. Lower CCC = more efficient working capital management.
CdCost of Debt (pre-tax)The interest rate a company pays on its borrowings. The after-tax cost of debt = Cd × (1−t). Used in WACC calculation. In APV, used to discount tax shields when debt is fixed.
CIMConfidential Information MemorandumA detailed document shared with potential buyers after signing an NDA, providing comprehensive company information to support the submission of Indications of Interest (IOIs).
CIPCovered Interest ParityF/S = (1+rd)T / (1+rf)T. An arbitrage condition linking forward and spot exchange rates to interest rate differentials between two currencies.
CLOCollateralised Loan ObligationA type of ABS backed by a pool of leveraged loans (typically from LBOs). Structured into tranches. CLO managers are major buyers of Term Loan B in the LBO market.
CPRConditional Prepayment RateThe annualised rate at which borrowers in a mortgage pool prepay their loans. Higher CPR shortens the expected life of ABS tranches. Related to SMM (Single Monthly Mortality).
D/EDebt-to-Equity RatioTotal Debt / Total Equity (market values). Measures financial leverage. Used in Hamada equation to lever/unlever beta. Higher D/E = higher financial risk = higher βL.
D&ADepreciation & AmortisationNon-cash charges that reduce reported earnings but do not consume cash. Added back in the UFCF calculation. Depreciation applies to tangible assets; amortisation to intangibles.
DCFDiscounted Cash FlowIntrinsic valuation method: EV = Σ FCFt/(1+WACC)t + TV/(1+WACC)n. Projects future free cash flows and discounts them to present value. Terminal value typically accounts for 60–80% of total value.
DIHDays Inventory Held(Inventory / COGS) × 365. Measures how many days inventory sits before being sold. Part of the Cash Conversion Cycle.
DLDirect ListingA method of going public without issuing new shares or using underwriters. Existing shareholders sell directly on the exchange. No lock-up, no roadshow, no greenshoe. Price set by market on listing day.
DPIDistributions to Paid-In CapitalRealised (cash-on-cash) return metric for PE funds. DPI = Total Distributions / Total Paid-In Capital. Measures how much cash has actually been returned to LPs.
DPODays Payable Outstanding(Accounts Payable / COGS) × 365. Measures how many days a company takes to pay its suppliers. Higher DPO = cash retained longer (beneficial for working capital).
DSODays Sales Outstanding(Accounts Receivable / Revenue) × 365. Measures how many days it takes to collect payment from customers. Lower DSO = faster cash collection.
DSCRDebt Service Coverage Ratio(EBITDA − Capex) / (Interest + Scheduled Amortisation). Measures ability to cover all debt obligations from operating cash flow. Lenders typically require ≥ 1.2×.
DTLDeferred Tax LiabilityIn M&A purchase price allocation: DTL = Asset Write-Up × Tax Rate. Arises because the stepped-up asset values create future tax deductions that differ from book values.
EBITEarnings Before Interest & TaxesOperating profit. Revenue minus operating expenses (incl. D&A). Used to calculate NOPAT and as a basis for EV/EBIT valuation multiples.
EBITDAEarnings Before Interest, Taxes, Depreciation & AmortisationProxy for operating cash flow before capital expenditures. Most common metric in LBO analysis (entry/exit multiples, leverage ratios). EBITDA = EBIT + D&A.
EMMExit Multiple MethodTerminal value calculation: TV = EBITDAn × Exit Multiple. The exit multiple is typically based on comparable company trading multiples. Alternative to the Gordon Growth Model.
EPSEarnings Per ShareNet Income / Shares Outstanding. Key metric in accretion/dilution analysis. A deal is accretive if pro-forma EPS > standalone EPS.
ERExchange RatioIn an all-stock deal: ER = Offer Price per Target Share / Acquirer Share Price. Determines how many acquirer shares each target shareholder receives.
EVEnterprise ValueThe total value of a firm’s operations: EV = Equity Value + Net Debt + Preferred + Minority Interests. Used in EV/EBITDA, EV/EBIT multiples. Equity Value = EV − Debt + Cash.
FCFEFree Cash Flow to EquityCash available to equity holders after all operating expenses, reinvestment, and debt service. FCFE = FCF − Interest(1−t) − Principal Repayments + New Debt. Discounted at Ke.
FCF / UFCFFree Cash Flow / Unlevered Free Cash FlowCash available to all capital providers: EBIT(1−t) + D&A − Capex − ΔNWC. “Unlevered” means before debt payments. Discounted at WACC in a standard DCF.
GGMGordon Growth ModelTerminal value formula: TV = FCFn(1+g) / (WACC − g). Assumes cash flows grow at a constant rate (g) in perpetuity. Sensitive to g and WACC assumptions.
GPGeneral PartnerThe managing entity of a PE/VC fund. Responsible for investment decisions, portfolio management, and exits. Earns management fees + carried interest. Commits 1–5% of fund capital.
ICRInterest Coverage RatioEBITDA / Interest Expense. Measures ability to pay interest from operating earnings. Lenders typically require ≥ 2.0–3.0× in LBO covenants.
IOIIndication of InterestA non-binding preliminary bid submitted by a potential buyer in an M&A process after reviewing the CIM. Typically includes a valuation range, proposed structure, and financing plan.
IPOInitial Public OfferingThe first sale of a company’s shares to the public. Involves underwriters, roadshows, book-building, and SEC filing. New shares (primary) raise capital; existing shares (secondary) provide insider liquidity.
IRRInternal Rate of ReturnThe discount rate that makes NPV = 0. In PE: the annualised return on equity. Approximation for single cash flow: IRR ≈ MOIC1/n − 1. Target: 20%+ for PE sponsors.
KdCost of Debt (pre-tax)Same as Cd. The yield demanded by debt holders. After-tax cost = Kd × (1−t). Lower than Ke due to priority in the capital structure and tax deductibility of interest.
KeCost of EquityThe return required by equity investors. Calculated via CAPM: Ke = Rf + βL × MRP. Always higher than Kd because equity bears more risk (residual claimant).
LBOLeveraged BuyoutAcquisition of a company using a significant amount of debt (typically 60–70% of total sources). The target’s cash flows service the debt. PE sponsors provide the equity and target 20%+ IRR.
LPLimited PartnerPassive investors in a PE/VC fund (pension funds, endowments, sovereign wealth funds). Provide capital, receive distributions, have no management control. Protected by limited liability.
LTVLoan-to-ValueTotal Debt / Collateral Value. Measures how much of the asset value is financed by debt. Lenders typically cap LTV at 70–80% in leveraged transactions.
MAE / MACMaterial Adverse Effect / Material Adverse ChangeA contractual clause in M&A agreements allowing a buyer to walk away if a significant negative event occurs between signing and closing. Key in LVMH/Tiffany and Twitter/Musk cases.
MOIC / MoMMultiple on Invested Capital / Money-on-MoneyExit Equity / Entry Equity. Measures total return without regard to time. Benchmarks: 2× ≈ 15% IRR, 2.5× ≈ 20% IRR, 3× ≈ 25% IRR (over 5 years).
MRP / ERPMarket Risk Premium / Equity Risk PremiumThe excess return investors demand for holding equities over the risk-free rate. MRP = E(Rm) − Rf. Typically 5–7%. Used in CAPM to calculate Ke.
NDANon-Disclosure AgreementA confidentiality agreement signed by potential buyers before receiving detailed company information (the CIM) in an M&A sell-side process.
NOPATNet Operating Profit After TaxEBIT × (1−t). Operating profit after taxes but before financing costs. The starting point for calculating Unlevered Free Cash Flow.
NPVNet Present ValueThe sum of all discounted future cash flows minus the initial investment. NPV > 0 means value is created. In M&A: NPV of acquisition = PV(Synergies) − Premium Paid.
NWC / ΔNWCNet Working Capital / Change in NWCNWC = Current Assets − Current Liabilities (excluding cash and short-term debt). ΔNWC: an increase uses cash (subtracted in UFCF); a decrease releases cash (added).
P/EPrice-to-Earnings RatioShare Price / EPS, or Market Cap / Net Income. Key accretion/dilution rule: if acquirer P/E > target P/E, an all-stock deal is accretive even without synergies.
PVPresent ValueThe current worth of a future cash flow discounted at an appropriate rate. PV = CF / (1+r)t.
RfRisk-Free RateThe return on a riskless investment, typically proxied by government bond yields (10-year Treasury). Used in CAPM and Black-Scholes. Higher Rf increases Ke and call option values.
RVPIResidual Value to Paid-In CapitalUnrealised return metric for PE funds. RVPI = Net Asset Value of remaining holdings / Total Paid-In Capital. Combined with DPI gives TVPI.
SBOSecondary BuyoutA PE exit where the portfolio company is sold to another PE sponsor. The new buyer conducts its own LBO. Common when strategic buyers are not available or IPO markets are unfavourable.
SECSecurities and Exchange CommissionUS federal regulator overseeing securities markets. Companies must file registration statements (S-1 for IPOs, Form 10 for direct listings) and ongoing disclosures (10-K, 10-Q).
SMMSingle Monthly MortalityMonthly prepayment rate for a mortgage pool. SMM = 1 − (1 − CPR)1/12. Used in ABS analysis to project cash flow timing.
SPAShare/Stock Purchase AgreementThe definitive legal agreement in an M&A transaction specifying price, representations, warranties, indemnities, and closing conditions.
SPV / SPESpecial Purpose Vehicle / EntityA bankruptcy-remote legal entity created for securitisation. The originator sells assets to the SPV via a “true sale,” isolating them from the originator’s credit risk.
tTax Rate (marginal corporate)Used throughout: after-tax cost of debt = Kd(1−t), NOPAT = EBIT(1−t), tax shield = t × Cd × D, Hamada beta uses (1−t). Always the marginal rate, not effective.
TLA / TLBTerm Loan A / Term Loan BTLA: bank-held, fully amortising (5–7yr). TLB: institutional investor-held (CLOs), minimal amortisation (1% p.a.) with bullet at maturity (6–8yr), higher spread, cash sweep provisions.
TVTerminal ValueThe value of all cash flows beyond the explicit forecast period. GGM: TV = FCFn(1+g)/(WACC−g). EMM: TV = EBITDAn × Exit Multiple. Typically 60–80% of total DCF value.
TVPITotal Value to Paid-In CapitalDPI + RVPI. The total return metric for PE funds combining realised distributions and unrealised NAV, divided by paid-in capital. TVPI of 2.0× means the fund has doubled LP money (before fees).
VUValue of the Unlevered FirmThe enterprise value assuming zero debt. Calculated by discounting FCFs at Ca (unlevered cost of equity). In APV: total firm value = VU + PV(Tax Shields).
WACWeighted Average CouponThe average interest rate across all loans in a securitised pool, weighted by outstanding balance. WAC = Σ(loan rate × balance) / Σ(balance).
WACCWeighted Average Cost of CapitalWACC = wE×Ke + wD×Kd×(1−t). The blended discount rate for FCF. Embeds the tax shield in the discount rate. Valid only when capital structure is stable.
WAMWeighted Average MaturityThe average remaining maturity of loans in a securitised pool, weighted by balance. WAM = Σ(maturity × balance) / Σ(balance). Longer WAM = more interest rate and prepayment risk.
βLLevered BetaThe equity beta of a company with its actual capital structure. βL = βU × [1+(1−t)×D/E]. Higher leverage amplifies equity risk, increasing βL and Ke.
βUUnlevered Beta (Asset Beta)The beta of a company stripped of financial leverage: βU = βL / [1+(1−t)×D/E]. Reflects pure business/operating risk. Used to compare companies with different capital structures.
ΔDelta (Options Greek)The sensitivity of an option’s price to a $1 change in the underlying. For calls: Δ = N(d1), range 0 to 1. For puts: Δ = N(d1) − 1, range −1 to 0. Used in delta hedging.
ΓGamma (Options Greek)The rate of change of delta with respect to the underlying price. Highest for ATM options near expiry. Measures how quickly a delta hedge becomes stale.
ΘTheta (Options Greek)Time decay: the rate at which an option loses value as time passes. Negative for long options (value erodes daily). Accelerates near expiry.
σSigma / VolatilityThe standard deviation of returns on the underlying asset. Higher σ increases both call and put values. Key input in Black-Scholes. Implied volatility is back-solved from market prices.
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