Core Foundations · Term 2

Corporate Finance

15 sessions across four modules. Investment, Financing, Valuation, and Dividend decisions. Built from the course slides, syllabus, and the official exam formula sheet.

NPV & IRR WACC Capital Structure Business Valuation FCF Dividend Policy Beta · Leverage Apple · Shamrock · Whole Foods

15Sessions

4Modules

3Cases

30%Exam Weight

∑Formula Sheet

The Three Pillars of Corporate Finance

Core Framework

📊 Investment Decision Which projects should the firm undertake? Evaluates NPV, IRR, capital budgeting, and FCF. The hurdle rate reflects the riskiness of the investment and the mix of debt and equity used to fund it.

🏦 Financing Decision How should the firm fund its investments? Covers WACC, capital structure theory, and the optimal debt-equity mix. Looks for the right kind of debt that matches the tenor of assets.

💰 Dividend Decision What do we do with residual cash? Covers dividend policy, FCFE, buybacks vs dividends, MM theory, and the lifecycle framework. If no good projects exist, return cash to owners.

Session Map - All 15 Sessions

Syllabus Aligned

Module I - Investment Decision

Session 1

Theory

The Investment Decision

NPV, IRR, capital budgeting framework. HBS Finance Reading 5176.

1

Session 2

Simulation

Capital Budgeting Simulation

Finsimco simulation: allocating capital across competing projects.

2

Session 3

Practice

Investment in Practice

Problem Set 1. Building FCF, working capital, terminal value.

3

Session 4

Theory

Estimating the WACC

CAPM, beta, cost of debt. Problem Set 2. HBS Reading 8293.

4

Module II - Financing Decision

Session 5

Theory

Optimal Capital Structure

Trade-off model, lifecycle, agency costs. HBS Reading 5187.

5

Session 6

Simulation

Debt Financing Simulation

Finsimco Debt Financing: bonds, covenants, credit ratings.

6

Session 7

Ethics

Ethics & Governance (GFC)

Financial Crisis of 2008: systemic risk, governance failures.

7

Module III - Business Valuation

Session 8

Theory

Business Valuation

DCF approaches, intrinsic vs relative, 5-step model. HBS UV6586.

8

Session 9

Practice

Valuation in Practice

Problem Set 3. DCF build, terminal value, equity bridge.

9

Session 10

Case

Shamrock / Taylor Swift

Valuing a private company. Levered/unlevered beta, debt overhang.

10

Session 11

Case

Whole Foods - Deutsche Bank

Valuing a public company. DCF + EV/EBITDA relative valuation.

11

Module IV - Dividend Decision

Session 12

Theory

Dividend Policy

MM irrelevance, signaling, clientele, FCFE, dividend matrix.

12

Session 13

Case

Apple 2013 (A & B)

Capital return dilemma. Leverage arbitrage, MM with taxes.

13

Session 14

Review

Review Session

Exam preparation. All modules reviewed. Use formula sheet.

14

Session 15

Exam

Final Exam

MCQ in class - 30% of grade. Conceptual + numerical.

15

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Assessment Breakdown: Final Exam 30% (MCQ in class) · Class Participation 20% · Intermediate Tests 15% · Simulations 20% (Group) · Bloomberg Finance Fundamentals 15% (Group). Formula sheet is allowed in the exam. Key numerical sessions: S3 (FCF), S4 (WACC), S9 (Valuation).

Session 1 · Module I - Investment Decision

Introduction to Corporate Finance

The foundational session. Corporate finance is about how firms invest, finance, and return capital to maximize long-term value. Everything in the course flows from three core decisions. Reading: HBS 5176 (NPV & Capital Budgeting)

Three Core Decisions Objective of the Firm First Principles Agency Problem

What Is Corporate Finance? S1 p.2

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Corporate Finance is about how firms invest, finance, and return capital to maximize long-term value. It sits between real operations and financial markets - translating business strategy into value creation.

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Myers' Definition: "The financial manager stands between the firm's operations and the financial markets." The CF manager translates strategic intent into financial decisions that affect value.

Decision	Core Question	Key Tools
Investment Decision	Which projects should we undertake?	DCF, NPV, IRR, simulation
Financing Decision	How should we fund growth?	WACC, capital structure theory
Dividend Decision	How and when do we return capital?	Payout policy, FCFE, buybacks

The Objective of Corporate Finance S1 p.3

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Three views on what corporate finance should optimize:

Classical View Maximize the market value of equity. Traditional shareholder primacy. Focus on stock price and returns to shareholders.

Modern View Create sustainable, long-term value integrating risk, governance, and ESG. Beyond pure share price maximization.

Stakeholder View Align financial decisions with strategic and ethical responsibilities to all stakeholders, not just shareholders.

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Exam Insight: The course's view integrates all three. Don't be caught saying "maximize share price" in isolation - modern CF recognizes ESG, governance, and stakeholder value as legitimate objectives that are not necessarily in conflict with long-term shareholder value.

First Principles & The Big Picture S1 p.4

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The master framework of corporate finance: every financial decision flows from one overarching goal - maximize the value of the business (firm).

MAXIMIZE FIRM VALUE ↙ ↓ ↘ Investment Financing Dividend Invest in assets Find the right mix If no good projects that earn ≥ hurdle of debt & equity exist → return cash rate at lowest WACC to owners // The Hurdle Rate Reflects riskiness of investment + mix of debt & equity used // The Return Must reflect magnitude and timing of cashflows + all side effects // Payout Depends on current & potential investment opportunities

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Trap: The three decisions are interdependent, not independent. The financing decision determines the hurdle rate (WACC), which feeds into investment decisions. Payout depends on whether investment opportunities exist. Getting this linkage wrong on the exam is a common error.

The Agency Problem & Corporate Governance S1 p.5

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The agency problem arises from the separation of ownership (shareholders) and control (managers). Managers may act in their own self-interest rather than maximizing shareholder value.

Types of Agency Problems

Empire building: managers invest in value-destroying projects to increase firm size/prestige
Excessive perks: lavish spending at shareholders' expense
Short-termism: managing for quarterly earnings rather than long-term value
Risk aversion: managers avoid risky but value-creating projects

Mechanisms to Reduce Agency Costs

Performance-based compensation (stock options, equity grants)
Board monitoring (independent directors)
Debt discipline - debt repayment obligations reduce free cash flow for misuse
Dividend payouts - reduce excess cash available to managers
Hostile takeovers - threat of takeover if management underperforms
Institutional investor activism

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Jensen's Free Cash Flow Hypothesis (1986): Managers with excess free cash flow may invest in value-destroying projects. Dividends and debt payments discipline managers by limiting discretionary cash - a key link between Chapter 1 (agency) and Chapter 7 (dividends).

Sessions 1–3 · Module I - Investment Decision

Capital Budgeting

S1 introduces the theory; S2 applies it via the Finsimco Capital Budgeting simulation; S3 works through Problem Set 1 in practice. Capital budgeting is about allocating scarce resources to competing uses.

NPV IRR Payback Period Profitability Index Hurdle Rate

Net Present Value (NPV) S2 p.3

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NPV is the gold standard investment decision metric. It is the difference between what an investment is worth today and what it costs today.

NPV = PV(Future Cash Flows) − Initial Investment T E(CF_t) NPV = Σ -------- − I₀ t=1 (1 + k)ᵗ // where: // E(CF_t) = Expected cash flow at future date t // k = Risk-adjusted discount rate (opportunity cost of funds) // I₀ = Initial investment outlay Decision Rule: NPV > 0 → Accept (value-creating) NPV < 0 → Reject (value-destroying) NPV = 0 → Indifferent (earns exactly the hurdle rate)

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Why NPV is the best rule: It directly measures value created in dollar terms. It accounts for the time value of money, risk (via the discount rate), and the full time horizon of cash flows. Unlike IRR, it never gives wrong answers for non-normal cash flows.

The Hurdle Rate & Type I/Type II Errors S2 p.4

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Using a single hurdle rate for all projects regardless of risk leads to systematic decision errors.

Error Type	What Happens	Cause	Effect on Value
Type I Error	A bad project is wrongly accepted	Hurdle rate too low for project risk	Destroys value
Type II Error	A good project is wrongly rejected	Hurdle rate too high for project risk	Foregone value

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Key Principle: Each project should be discounted at a hurdle rate that reflects its own risk, not the firm's average WACC. Using the firm's WACC for a high-risk project generates Type I errors (accept too many risky projects). Using it for a low-risk project generates Type II errors (reject safe projects). Risk-adjusted hurdle rates are the correct solution.

Internal Rate of Return (IRR) S2 p.5

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The IRR is the discount rate that makes NPV = 0. Think of it as the break-even discount rate of the project.

// Definition: find IRR such that: T E(CF_t) 0 = Σ ---------- − I₀ t=1 (1 + IRR)ᵗ IRR Rule: IRR > k → Accept (project earns more than its cost of capital) IRR < k → Reject

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Intuition: When IRR exceeds the risk-adjusted discount rate k, the expected return on the project is greater than the opportunity cost of funds. The project earns more than investors require.

Why NPV and IRR May Differ - The 4 Cases S2 p.6

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Issue	NPV Behaviour	IRR Behaviour	Recommendation
Multiple IRRs	Always unique	Can have multiple IRRs when sign changes >1 time	Use NPV
Mutually Exclusive Projects	Correctly ranks by dollar value created	Higher IRR ≠ higher NPV for large-scale projects	Use NPV
Scale Differences	Captures absolute value created	% metric - favors small projects with high %	Use NPV
Reinvestment Assumption	Assumes reinvestment at hurdle rate k	Assumes reinvestment at IRR (often unrealistic)	Use NPV

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Multiple IRRs Trap: If a project's cash flows change sign more than once (e.g., negative → positive → negative), there can be multiple IRRs or no IRR at all. In these cases, IRR is meaningless - NPV is the only reliable rule.

Reinvestment Assumption - The Critical Difference NPV assumes intermediate cash flows are reinvested at the hurdle rate k (a realistic assumption - it's what you can actually earn on comparable investments). IRR assumes reinvestment at the IRR itself, which is only realistic if the project is exceptionally profitable and that opportunity is infinitely repeatable. NPV's assumption is almost always more realistic.

Payback Period - Flawed But Common S2 p.9

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Payback period measures how long it takes to recover the initial investment. Despite its widespread use, it is fundamentally flawed as a primary decision criterion.

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Problem 1: How do you choose the target payback period? There is no theoretical basis for 2 vs. 3 years.

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Problem 2: Myopic - ignores all cash flows after the payback period. A project with huge late cash flows is unfairly penalized.

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Problem 3: Ignores risk and the time value of money. A dollar in year 1 and a dollar in year 3 count equally.

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When payback is used in practice: As a quick liquidity screen alongside NPV - especially in capital-constrained firms, or for small-scale decisions where formal DCF is disproportionate. Never as the primary metric.

Profitability Index (PI) - For Capital-Constrained Firms S2 p.10

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Profitability Index (PI) = NPV / Initial Investment PI > 0 → Accept PI > that of competing project → Prioritize this one

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When PI is essential: When the firm faces capital rationing and projects are mutually exclusive. PI measures value created per dollar invested - crucial for ranking projects when you can't take them all. Example: PI = 0.35 means every $1 invested creates $0.35 of NPV.

Metric	Measures	Best For	Weakness
NPV	Absolute $ value created	All firms with capital access	Ignores capital efficiency
IRR	% return on project	Quick comparison; small firms	Multiple IRRs, scale bias
PI	Value per dollar invested	Capital-constrained firms	Only for mutually exclusive projects
Payback	Years to recover investment	Liquidity screen only	Ignores TVM, post-payback flows, risk

Capital Rationing - When to Use IRR vs NPV S2 p.8

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Firm Characteristics	Preferred Rule
Limited capital access, high-growth, uncertain cash flows (startups, private firms)	IRR (or PI)
Substantial capital, limited surplus projects, more certain cash flows (large public firms)	NPV

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Lifecycle note: Small, high-growth companies and private businesses use IRR more often. As firms go public and mature, they shift toward NPV. This tracks with Chapter 5's lifecycle framework for capital structure.

Session 3 · Module I - Investment in Practice

Building Free Cash Flows

Covered in Session 3 (Investment Decision in Practice) alongside Problem Set 1. FCF is the fuel of DCF. This chapter covers how to construct FCFF and FCFE, the role of depreciation, working capital, and terminal value.

FCFF FCFE NOPLAT Depreciation Shield Working Capital Terminal Value

The Leveraged Free Cash Flow Build S3 p.2

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Free Cash Flow to the Firm (FCFF) is the cash flow available for distribution to all capital providers - both equity and debt - before any financing payments.

FCFF (Unlevered Free Cash Flow) + Operating Revenue − Operating Expenses = EBIT (Operating Income / Earnings Before Interest & Tax) − Taxes on EBIT ← tax on operating profit, not net income = NOPLAT (Net Operating Profit Less Adjusted Taxes) − Depreciation ← add BACK (non-cash charge) − Capital Expenditures (CapEx) ← cash investment in assets − ΔWorking Capital Requirements ← increase in WC = cash outflow = FREE CASH FLOW TO FIRM (FCFF)

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Critical: Taxes on EBIT, not Net Income. FCF uses the tax that would be paid if the firm were all-equity (i.e., taxes on EBIT before interest deduction). This ensures you don't embed the financing decision into the cash flows - the tax shield of debt is captured separately in WACC.

FCFF vs FCFE - The Key Difference Formula Sheet

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FCFF - Cash Flow to Firm (Unlevered) Available to all capital providers (debt + equity). Taxes calculated on EBIT. No interest expense deducted. No debt repayment adjustments. Discounted at WACC to get Enterprise Value.

EBIT − Taxes on EBIT = NOPLAT + Depreciation − CapEx − ΔWCR = FCFF

FCFE - Cash Flow to Equity (Levered) Available to equity holders only. Starts from Net Income (after interest and taxes). Adjusts for debt cash flows. Discounted at Cost of Equity (Ce) to get Equity Value.

Net Income + Depreciation & Amortization − CapEx − ΔWCR − Principal Repayments + Proceeds from New Debt = FCFE

Bridge: FCFF → FCFE FCFE = FCFF − Interest Expense × (1 − t) − Net Debt Repayment = FCFF − After-tax interest + Net new borrowing

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Match Cashflows to Discount Rate: FCFF → discount at WACC → Enterprise Value. FCFE → discount at Ce → Equity Value. Mixing these up (e.g., discounting FCFF at Ce) is one of the most common and costly errors in valuation.

Depreciation: Why It Matters for FCF S3 p.3

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Depreciation is a non-cash charge - it reduces taxable income but requires no cash outflow. Its only value in FCF is through the tax shield it creates.

Tax Shield = Depreciation × Tax Rate Example: Depreciation = 10, Tax Rate = 30% → Tax Shield = 10 × 0.30 = 3 → FCF increases by 3 (taxes are lower by 3) // In the FCF build: Step 1: Depreciation REDUCES EBIT → lowers tax paid Step 2: Depreciation ADDED BACK → because it is non-cash // Net effect on FCF = +Tax Shield only

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Common Modeling Error: Forgetting to add back depreciation after deducting it for taxes. You must: (1) subtract depreciation from EBIT to calculate taxes correctly, then (2) add it back because it's non-cash. The net effect is just the tax shield.

The Working Capital Effect S3 p.4

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Working Capital (WC) is cash tied up in operations. Changes in WC affect FCF directly.

ΔWC = WC_t − WC_(t-1) WC increases → Cash OUTFLOW → FCF DECREASES WC decreases → Cash INFLOW → FCF INCREASES Example: WC goes from 8 to 12 ΔWC = 12 − 8 = +4 → Cash out = −4 from FCF // WC components: operating cash + inventories + receivables − payables // Fully recovered at end of project (terminal year)

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Two Key Exam Traps: (1) Forgetting to subtract ΔWC in operating years - this overstates FCF and inflates NPV. (2) Forgetting to add back working capital in the terminal year - WC is fully recovered when the project ends.

Terminal Value - Finite Projects vs Ongoing Businesses S3 p.5

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Finite-Life Projects → Liquidation Value At project end:
• After-tax salvage value of assets
• Recovery of working capital
• Both added to final year FCF

Ongoing Businesses → Growing Perpetuity Assumes cash flows grow at a constant rate g forever from year N+1 onward.

Terminal Value (Growing Perpetuity) FCF_(N+1) FCF_N × (1 + g) TV_N = ---------- = ------------------- WACC − g WACC − g // g = stable long-term growth rate (≤ GDP growth rate) // TV is discounted back to t=0 at WACC Full Project NPV N FCF_t TV_N NPV = Σ ------------ + ------------ t=1 (1+WACC)ᵗ (1+WACC)ᴺ

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g must be ≤ long-run economy growth rate. A company cannot grow faster than the economy forever. Using g = 5% when GDP grows at 2% is a valuation error that produces absurdly high terminal values.

Common FCF Modeling Errors to Avoid S3 p.7

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Using net income instead of NOPLAT - net income already deducts interest, which embeds the financing decision into operating cash flows

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Forgetting to add back depreciation after using it to reduce taxes

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Ignoring ΔWorking Capital - overstates FCF and inflates NPV

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Forgetting WC recovery in the final year of a finite project

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Double-counting CapEx or depreciation (e.g., subtracting both gross and net CapEx)

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Mixing equity cash flows (FCFE) with unlevered cash flows (FCFF) and discounting at the wrong rate

Session 4 · Module I - Estimating the WACC

WACC & Cost of Capital

Session 4 covers WACC estimation end-to-end, alongside Problem Set 2. Reading: HBS 8293 (Cost of Capital). The WACC is the discount rate in DCF valuation and the hurdle rate for investment decisions.

CAPM Beta Risk-Free Rate Market Premium Cost of Debt Levering Beta

WACC - The Master Formula S4 p.12

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WACC = Ce × [E/(D+E)] + Cd × (1−t) × [D/(D+E)] // where: Ce = Cost of Equity Cd = Cost of Debt (pre-tax) t = Marginal corporate tax rate E = Market Value of Equity D = Market Value of Debt // Weights MUST be market value weights, NOT book value Cost of Equity (CAPM): Ce = Rf + β × MP After-tax Cost of Debt: Cd(after-tax) = Cd × (1 − t)

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Market Value Weights: Always use market values for D and E in WACC, not book values. Book values reflect historical cost; market values reflect current investor expectations. Using book values distorts the WACC significantly.

Risk-Free Rate (Rf) S4 p.5

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The risk-free rate is the return on an asset where the investor knows the expected return with certainty for the time horizon of the analysis.

Time Horizon	Instrument	Rationale
Long-term (DCF / Valuation)	Current yield to maturity on Treasury Bonds	Matches the long-term nature of business cash flows
Short-term	Current yield to maturity on Treasury Bills	Used for short-duration projects

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Use current market rates, not historical averages. The risk-free rate is a current market rate. For long-term firm valuation, use the current 10-year government bond yield.

Market Risk Premium (MP) S4 p.6

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The Market Premium (MP) is the additional return investors require for holding the stock market rather than risk-free bonds. Also called: equity premium, market risk premium, risk premium.

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Two approaches to estimate MP: (1) Historical premium - average excess return of stocks over T-bonds over a long period. (2) Implied premium - backed out from current market prices. Both are imprecise; typical estimates range from 4–6% in developed markets.

Beta - Estimating Systematic Risk S4 p.7–9

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Beta (β) measures the sensitivity of a stock's returns to market returns - it is a measure of systematic (non-diversifiable) risk.

// Regression approach: R_j = α + β × R_m β = Cov(R_j, R_m) / Var(R_m) // Interpretation: β = 1.0 → Average risk investment (moves with market) β > 1.0 → Above-average risk (amplifies market moves) β < 1.0 → Below-average risk (less sensitive to market) β = 0 → Riskless investment (no market correlation)

How to Estimate Beta in Practice Public companies: Use published estimates (e.g., Bloomberg regression of stock returns vs market returns)
Private companies / divisions: No published beta available → use comparable public companies and the levering/unlevering approach

Equity Beta vs Asset Beta - The Lever/Unlever Procedure S4 p.8, 10

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A firm's equity beta (βL) reflects both business risk and financial risk (leverage). The asset/unlevered beta (βU) reflects only business risk, stripping out the effect of capital structure.

Unlevering (βL → βU): βU = βL / [1 + (1−t) × D/E] Relevering (βU → βL): βL = βU × [1 + (1−t) × D/E] // where: βL = Levered (equity) beta - reflects business + financial risk βU = Unlevered (asset) beta - reflects business risk only t = Marginal tax rate D = Market value of debt E = Market value of equity

Step-by-Step: Beta for a Private Company or Project

Select comparable public companies in the same business
Get their equity betas (βL) from Bloomberg or similar
Unlever each beta using their own D/E ratio and tax rate → get βU for each
Average the βU values across comparables
Relever using your company's or project's target D/E ratio and tax rate → get your βL
Use this βL in CAPM to get your Cost of Equity

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Why unlever and re-lever? Comparable companies have different capital structures. You can't directly compare their equity betas because they embed different amounts of financial risk. Unlevering isolates pure business risk, and relevering applies your capital structure. This ensures your WACC reflects the right risk for your specific project or firm.

Cost of Debt S4 p.11

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Pre-tax Cost of Debt: Cd = Rf + Default Spread After-tax Cost of Debt (for WACC): Cd(after-tax) = Cd × (1 − t) // The (1-t) adjustment reflects the tax deductibility of interest // This is the tax shield from debt captured in WACC

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Default spread increases with leverage. As a firm borrows more, credit ratings decline and default spreads widen, increasing the cost of debt. This is used in Chapter 5's mechanics of capital structure - as D/E rises, so does Cd.

Session 5 · Module II - Financing Decision

Optimal Capital Structure

Session 5 covers capital structure theory. Reading: HBS 5187 (Capital Structure Theory). Session 6 follows with the Finsimco Debt Financing simulation. The optimal structure minimizes WACC and maximizes firm value.

Static Trade-Off Tax Shield Bankruptcy Costs Agency Costs Lifecycle Pecking Order

Advantages & Disadvantages of Debt S5 p.2

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Advantages of Debt	Disadvantages of Debt
✓ Tax Benefit - interest is tax-deductible, creating a tax shield. Higher tax rates → higher benefit.	✗ Bankruptcy Costs - higher business risk means higher probability of distress → higher cost.
✓ Added Discipline - debt repayment forces managers to generate cash flows; reduces free cash flow available for empire-building. Greater manager-owner separation → greater benefit.	✗ Agency Costs - debt creates shareholder-lender conflicts (risk-shifting, underinvestment). Greater shareholder-lender separation → greater cost.
	✗ Loss of Financial Flexibility - high debt limits ability to respond to future investment opportunities. Greater uncertainty about future needs → higher cost.

The Static Trade-Off Model S5 p.9

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The static trade-off model says that for most firms, some debt is better than none - but not so much that it jeopardizes financial health.

V_Levered = V_Unlevered + PV(Tax Shield) − PV(Costs of Financial Distress) // At the optimal D*: // Marginal benefit of debt (tax shield) = Marginal cost of debt (distress) // WACC is minimized → Firm value is maximized V_L = V_U + D×t ← without financial distress costs V_L = V_U + D×t − PV(CFD) ← with financial distress costs

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Optimal Debt Ratio (D*): The point where the marginal tax benefit of an extra dollar of debt exactly equals the marginal increase in expected distress costs. To the left of D*: firm is underlevered (leaving tax benefits on the table). To the right: firm is overlevered (distress costs dominate).

Three Approaches to Financing Mix S5 p.3

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1. Life Cycle Approach Startups use equity; mature firms use more debt. Stage of development determines optimal leverage. Matches earnings stability with debt obligations.

2. Comparable Firms Approach Benchmark against industry average leverage. Industry peers share common characteristics (tax rates, earnings volatility, asset tangibility). But can be sub-optimal if peers are not truly comparable.

3. Financing Hierarchy (Pecking Order) Firms prefer: retained earnings → debt → equity. They work down a preference list rather than directly optimizing. Reflects information asymmetry: equity issuance signals overvaluation.

The Debt-Equity Trade-Off Across the Lifecycle S5 p.4

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Life Stage	Tax Benefits	Bankruptcy Cost	Agency Cost	Need for Flexibility	Net Trade-Off
Startup	Zero (losses)	Very High	Very High	Very High	Minimal debt, mostly equity
Rapid Expansion	Low (limited earnings)	Very High	High	High	Costs exceed benefits
High Growth	Increasing	High	High	High	Debt starts yielding net benefits
Mature Growth	High	Declining	Declining	Low	Debt becomes attractive option
Decline	High but declining	Low	Low	Non-existent	Debt provides clear benefits

Relative Analysis: Industry Average + Adjustments S5 p.6

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The "safest" starting point for any firm is close to the industry average debt ratio. Adjust from that baseline using firm-specific characteristics:

Characteristic	Direction	Rationale
Higher tax rate	↑ Higher debt ratio	More valuable tax shield
Lower insider ownership	↑ Higher debt ratio	Greater discipline benefit from debt
More stable income	↑ Higher debt ratio	Lower bankruptcy cost probability
More intangible assets	↓ Lower debt ratio	More agency problems (hard to collateralize)

Framework: Getting to the Optimal Capital Structure S5 p.10

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Overlevered (Actual > Optimal) Is the firm under bankruptcy threat?
If yes: Reduce debt quickly - equity-for-debt swap, sell assets, renegotiate with lenders.
If no: Reduce debt gradually - use retained earnings to pay off debt, eliminate dividends.

Underlevered (Actual < Optimal) Is the firm a takeover target?
Good projects: Issue debt and invest in them.
No good projects: Issue debt and buy back shares (do stockholders prefer dividends or buybacks?).

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This framework integrates Chapters 5 and 7. The optimal capital structure decision links directly to the dividend decision - if a firm is underlevered with no good projects, it should increase debt AND return excess cash via dividends or buybacks.

Sessions 8–9 · Module III - Business Valuation

Business Valuation

S8 covers theory (HBS UV6586 + McKinsey "Valuing High-Tech Companies"); S9 works through Problem Set 3 in practice. S10 applies this to a private company (Shamrock/Taylor Swift); S11 to a public company (Whole Foods).

DCF Intrinsic vs Relative 5-Step Model Growth Patterns Firm vs Equity Value

Misconceptions About Valuation S6 p.2

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Myth	Truth
A valuation is an objective search for "true" value	All valuations are biased. The direction and magnitude of bias are directly proportional to who pays you and how much.
A good valuation provides a precise estimate of value	There are no precise valuations. The payoff to valuation is greatest when it is least precise - that's when mispricing opportunities exist.
The more quantitative the model, the better the valuation	Understanding is inversely proportional to the number of inputs. Simpler models often do better than complex ones.

Intrinsic vs Relative Valuation S6 p.3

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Intrinsic Valuation (DCF) Value = PV of expected future cash flows. Based on fundamentals: cash flow magnitude, growth, and risk. Reflects what the asset should be worth. Works best when: positive cash flows, reliable forecasts, measurable risk proxy available.

Relative (Extrinsic) Valuation Value = what comparable assets trade for in the market. Uses multiples: EV/EBITDA, P/E, EV/Revenue, P/Book. Reflects what the market is paying for similar assets. Fast, but inherits market mispricing.

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In practice: use both. DCF anchors intrinsic value; multiples sanity-check against market pricing. If DCF and multiples give very different answers, ask why - it's often where the insight is.

Step 1 - Estimate Free Cash Flows S6 p.12–13

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FCFF is cash available to all capital providers before any financing payments but after operating expenses and taxes. It is the correct input for firm valuation discounted at WACC.

EBIT (Operating Income) − Taxes on EBIT = NOPLAT + Depreciation & Amortization − Capital Expenditures − Changes in Working Capital Requirements = FREE CASH FLOW TO FIRM (FCFF) // KEY: Pre-debt, post-tax cash flows. No interest deduction.

Step 2 - Estimate the Discount Rate (Consistency Principle) S6 p.10, 14

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The discount rate must match the cash flows being discounted. Mismatching is the most common and costly valuation error.

Cash Flow Type	Correct Discount Rate	Gives You
FCFF (Free Cash Flow to Firm)	WACC	Enterprise Value (Firm Value)
FCFE (Free Cash Flow to Equity)	Cost of Equity (Ce)	Equity Value directly
Dividends	Cost of Equity (Ce)	Equity Value (via DDM)

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Mismatch errors: Discounting FCFF at Ce → upward-biased equity value. Discounting FCFE at WACC → downward-biased firm value. The course materials specifically highlights these as exam traps.

Step 3 - Estimate Terminal Value S6 p.15–18

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Since we can't project cash flows forever, we estimate them for a finite period and then calculate a terminal value capturing all value beyond that horizon.

Method	Description	Best When
Liquidation Value	Value of assets if sold	Assets are separable and marketable
Multiple Approach	Apply EV/EBITDA or P/E to terminal year	Easiest; relative valuation as exit
Stable Growth Model (Gordon)	Growing perpetuity formula	Technically sound; most common in DCF

Terminal Value (Stable Growth Model): FCF_(N+1) FCF_N × (1 + g) TV = -------------- = -------------------- WACC − g WACC − g // g must be sustainable forever - typically ≤ nominal GDP growth rate // TV is then discounted: PV(TV) = TV / (1+WACC)^N

🎯

Terminal Value often represents 60–80% of total DCF value. Small changes in g or WACC have massive impacts. Exam questions frequently test your understanding of what drives TV sensitivity.

Steps 4 & 5 - From Firm Value to Equity Value per Share S6 p.19–21

▼

Step 4: Estimate Firm Value
         N    FCF_t              TV_N
EV =   Σ  ------------  +  ------------
        t=1  (1+WACC)ᵗ       (1+WACC)ᴺ

Step 4b: From Firm Value to Equity Value
Equity Value = Enterprise Value
             − Market Value of Debt (Net Debt)
             + Excess Cash & Near-Cash Investments
             + Non-Operating Assets

Step 5: Value Per Share
Value per Share = Equity Value / Shares Outstanding

📌

Non-operating assets: Assets the firm owns that don't generate cash flows (e.g., minority stakes, unused land) but have value. These must be added back separately - they are not captured in the FCF model.

Growth Patterns: 1-Stage, 2-Stage, 3-Stage Models S6 p.22–23

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Model	Use When Firm Is	Structure
Stable Growth (1-Stage)	Large, growing at or below economy rate; constrained by regulation; average risk	Single perpetuity: TV only
2-Stage Growth	Large/moderate growth, single product with barriers to entry or finite life (e.g., patents)	High growth period → abrupt drop to stable growth
3-Stage Growth	Small, very high growth (>GDP+10%), significant barriers to entry, unusual characteristics	High growth → transition → stable growth

🎯

Choosing the right model: The more aggressive the current growth rate vs. the long-run economy growth rate, the more stages you need. A 3-stage model for a large mature firm is overfitting. A 1-stage model for a startup growing at 40% is wrong.

Buy-Side vs Sell-Side Research S6 p.24

▼

Buy-Side Firms (Asset Managers) Internal research teams produce reports for internal investment decisions only. Not distributed publicly. Used by portfolio managers to decide what to buy and sell. Objective: generate alpha for the fund.

Sell-Side Firms (Investment Banks) Equity research reports disseminated to sales, trading clients, and wealth management clients. Distributed free (relationship-driven; compensated via trading commissions and IB relationships). Include explicit buy/sell/hold recommendations and price targets.

⚠️

Conflict of interest: Sell-side analysts work for banks that also do investment banking for the companies they cover. This creates bias toward favorable ratings ("strong buy" is much more common than "sell"). Remember the misconception slide - valuations reflect who pays for them.

Session 12 · Module IV - Dividend Decision

The Dividend Decision

Session 12 covers dividend policy theory. Reading: HBS W18603 (A Note on Dividend Policy). Session 13 applies this to the Apple 2013 case (A & B). The dividend decision is the third and final pillar of corporate finance.

MM Irrelevance Signaling Clientele Agency Theory FCFE Dividend Matrix Buybacks

Why Dividend Policy Matters S7 p.3

▼

Investors derive value from cash distributions or capital gains - but dividend policy determines which path
Payout communicates information about firm performance and management expectations (signaling)
It shapes the shareholder clientele - who owns the stock
It disciplines management by limiting free cash flow abuses (Jensen's agency argument)
It reflects and reinforces the strategic maturity and lifecycle stage of the firm
It directly affects valuation through FCFE and capital market perceptions

Stylized Facts About Dividends S7 p.4–5

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📌

Dividends are sticky - firms avoid cutting them once established

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Dividends tend to follow earnings - they lag but track long-run earnings growth

📌

Dividend cuts trigger large negative stock reactions; increases generate smaller positive reactions (asymmetric signaling)

📌

Over 50% of U.S. listed firms paid no dividends or buybacks in the past decade

📌

Share repurchases have overtaken dividends in many markets (S&P 500 since ~2005)

📌

Dividends are affected by tax law - tax-disadvantaged dividends push investors toward buybacks

Measures of Dividend Policy S7 p.6

▼

Dividend Yield = DPS / Share Price → Return from dividends alone; part of total expected return Payout Ratio = DPS / EPS → % of earnings paid as dividends → Cannot be computed if net income is negative Total Payout Ratio = (Dividends + Buybacks) / Net Income → Captures all forms of cash return to shareholders FCFE Coverage = Dividends / FCFE → Sustainability measure: >1 means paying more than firm can afford Net Equity Issuance = Buybacks − Equity Raised

🎯

McKinsey Insight: Focus less on payout ratios and more on cash distribution sustainability (FCFE). The key question is not "how much does the firm pay?" but "can it afford to keep paying?"

MM Dividend Irrelevance Theory S7 p.9

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Modigliani-Miller (1961): In perfect markets (no taxes, no transaction costs, no information asymmetry), dividend policy does not affect firm value.

MM Logic: 1. Firm value = PV of future cash flows from investments 2. Whether those are paid as dividends or retained, value is the same 3. If dividend is paid, firm issues new equity → exactly offsets dividend 4. Investors can create "homemade dividends" by selling shares // Real-world: Taxes, agency issues, and signaling frictions break MM

📌

MM as a benchmark: The MM theorem is valuable as a starting point - it tells you that dividend policy only matters because of market imperfections (taxes, agency costs, information asymmetry). Every real-world theory of dividends is an argument about which imperfection dominates.

Signaling Theory S7 p.10

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Dividends are a costly signal of management's confidence in future earnings. Because dividends are sticky, only firms with strong earnings prospects can credibly commit to them.

Event	Market Reaction	Why
Dividend increase	Small positive stock price reaction	Signals management expects sustained higher earnings
Dividend cut / elimination	Large negative stock price reaction	Signals earnings shortfall; management credibility hit

⚠️

Why asymmetric reaction? Cuts are rare and unexpected - they break a commitment and signal distress. Increases are common and expected - they're partially anticipated. The negative information content of a cut exceeds the positive content of an increase.

Clientele Effect Theory S7 p.11–12

▼

High-Dividend Clientele Income-dependent investors (retirees, pension funds, endowments). Prefer regular cash income. Will sell if dividends are cut.

Low/No-Dividend Clientele Tax-sensitive investors (growth funds, high-income individuals). Prefer capital gains (lower tax or deferred). Attracted to reinvestment-focused firms.

Implication: Dividend Smoothing Firms maintain stable dividend policies to avoid losing their clientele. Changing dividend policy mid-stream disrupts the investor base even if the change is rationally justified - the clientele may not react well regardless of how well-intentioned the change is.

Agency & Behavioral Theory S7 p.13

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Agency Theory (Jensen, 1986) Managers with excess free cash flow may invest in value-destroying projects. Dividends reduce discretionary cash → increase managerial discipline. This is the "free cash flow hypothesis" - dividends solve an agency problem.

Behavioral Theory Mental accounting: dividends and capital gains treated as separate "pots" of money.
Self-control: investors prefer dividends to avoid "overspending" capital gains.
Catering theory: managers increase dividends when "dividend demand" is high (when dividend-paying stocks trade at a premium).

Dividends vs Stock Buybacks S7 p.14–15

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Dimension	Dividends	Buybacks
Commitment	Create long-term expectations; sticky	No long-term commitment; one-time or irregular
Signal	Strong, credible signal	Weaker signal (could be opportunistic)
Tax Efficiency	Often less tax-efficient (income tax on receipt)	More tax-efficient (capital gains, deferred)
Flexibility	Low - cuts are penalized heavily	High - can be stopped without severe signal
Undervaluation Play	Not applicable	Optimal when stock is undervalued
Dilution Offset	Not applicable	Offsets stock option dilution

🎯

McKinsey View: Buybacks are most efficient when driven by intrinsic value gaps and capital structure optimization - not as a substitute for real investment. A firm buying back stock when it has good projects to invest in is destroying value.

Corporate Lifecycle & Payout Policy S7 p.7–8

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Stage	Capacity to Pay	Policy
Startup	None (negative cash)	No dividends; all cash reinvested
Rapid Expansion	None	No dividends; selective buybacks
High Growth	Very low	Rare dividends; retain for investment
Mature Growth	Increasing	Stable, predictable dividends + opportunistic buybacks
Decline	High	High payout ratios; fewer good investment opportunities

The FCFE Framework - Dividend Affordability Analysis S7 p.18–20

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A three-step framework to evaluate dividend policy:

Step 1 - Assess Actual Cash Returned Measure dividends + buybacks over time. Compare to net income, FCFE. Identify patterns of smoothing or opportunistic actions.

Step 2 - Assess Sustainable Capacity (FCFE) FCFE > Dividends: Firm is retaining excess cash - should it be paying more?
FCFE < Dividends: Firm is borrowing or depleting cash to maintain dividends - unsustainable.

Step 3 - Trust the Management How well has management invested excess cash? Have they created value with past projects? If yes → give flexibility. If no → demand return of cash.

The Dividend Matrix - Four Possible Combinations S7 p.21–22

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Cash Position	Project Quality	Situation	Prescription
Cash Surplus (FCFE > Dividends)	Good Projects (ROE > Ce)	Best case: firm has reinvestment opportunities and cash to fund them	Maximum flexibility - let managers retain and invest
Cash Surplus (FCFE > Dividends)	Poor Projects (ROE < Ce)	Cash accumulating; managers may waste it	Significant pressure to return cash via dividends/buybacks
Cash Deficit (FCFE < Dividends)	Good Projects	Firm is overpaying; constraining investment	Cut dividends; reinvest. Overpayment creates capital rationing.
Cash Deficit (FCFE < Dividends)	Poor Projects	Worst case: bad investments AND unsustainable payout	Investment problem + dividend problem. Fix investments first.

Session 6 · Module II - Financing Decision

Debt Financing Simulation

Session 6 uses the Finsimco Debt Financing simulation (HBS FS0015) to bring capital structure decisions to life. Building on Session 5's theory, you make real financing choices - selecting instruments, managing credit ratings, and optimizing debt structure under constraints.

Debt Instruments Credit Ratings Covenants Interest Coverage Default Risk

Types of Debt Instruments

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Instrument	Key Features	Typical Users
Bank Loans (Term Loans)	Flexible; negotiated directly; covenants common; floating or fixed rate	SMEs, leveraged buyouts, bridge financing
Revolving Credit Facility	Flexible drawdown; liquidity buffer; commitment fee on undrawn	Working capital management; cyclical firms
Investment-Grade Bonds	BBB– or above; lower spreads; public market; fixed coupons	Large, stable corporates (Apple, P&G)
High-Yield (Junk) Bonds	Below BBB–; higher spreads; often callable; incurrence covenants	LBOs, fast-growth firms, distressed issuers
Convertible Bonds	Convert to equity at a set price; lower coupon than straight debt; dilution risk	Growth firms; reduces cash interest burden
Subordinated / Mezzanine	Junior claim; higher risk & return; often with warrants or PIK interest	Bridge financing, LBOs, private debt

Credit Ratings & the Cost of Debt

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Credit ratings summarize a firm's default risk. They directly determine the default spread added to the risk-free rate when computing the cost of debt in WACC.

Cd = Rf + Default Spread // Default spread increases as rating deteriorates: AAA / AA → Spread: ~50–100 bps (investment grade, very safe) A → Spread: ~100–150 bps BBB → Spread: ~150–250 bps (lowest investment grade) BB / B → Spread: ~300–600 bps (high yield / junk) CCC+ → Spread: 600 bps+ (distressed)

Interest Coverage Ratio - The Rating Proxy In the absence of a formal credit rating, use the Interest Coverage Ratio (ICR) to estimate a proxy rating:

ICR = EBIT / Interest Expense

ICR > 8.5x → AAA · ICR 6–8.5x → AA · ICR 4.5–6x → A · ICR 3.5–4.5x → BBB · ICR 2.5–3.5x → BB · ICR < 1.5x → CCC/D

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WACC link: In Chapter 5's capital structure mechanics, as D/E increases, ICR falls, ratings decline, and default spreads widen - raising Cd. Combined with the higher βL (which raises Ce), both components of WACC increase at extreme leverage, giving the U-shaped WACC curve.

Debt Covenants & Agency Costs of Debt

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Affirmative (Positive) Covenants What the borrower must do:
• Maintain minimum interest coverage ratio
• Maintain minimum current ratio / liquidity
• Provide audited financial statements
• Maintain insurance on assets
• Stay current on taxes

Negative (Restrictive) Covenants What the borrower cannot do:
• Pay dividends above a set threshold
• Issue new senior debt without consent
• Make acquisitions above a set size
• Sell key assets without lender approval
• Exceed maximum leverage ratio (D/EBITDA)

⚠️

Agency cost of debt: Covenants exist because shareholders have incentives to transfer value from debtholders - by taking on extra risk (asset substitution), paying excessive dividends, or underinvesting when in financial distress. Covenants are the lender's partial solution to these agency conflicts.

Matching Debt to Assets - Tenor & Currency

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The Matching Principle From the First Principles framework: find the right kind of debt for the firm. The tenor and characteristics of debt should match the assets being financed:

• Long-lived fixed assets (factories, infrastructure) → Long-term fixed-rate debt
• Short-term working capital → Revolving credit facility
• Foreign-currency assets / revenues → Debt in matching currency (natural hedge)
• Floating-rate revenues → Floating-rate debt reduces mismatch risk

Session 7 · Module II - Ethics & Corporate Governance

Ethics & Governance in Finance - The Global Financial Crisis

Case: (Still) Fighting the Financial Crisis of 2008: Ten Years Later (HBS UV7528). Session 7 uses the GFC as a lens to examine how governance failures, misaligned incentives, and systemic risk combine to produce financial catastrophe - and the enduring regulatory lessons.

Systemic Risk Moral Hazard Too Big to Fail Governance Failures ESG in Finance

Root Causes of the 2008 Financial Crisis

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Category	Mechanism	CF Concept Violated
Agency Problems	Mortgage originators earned fees on volume, not loan quality → no skin in the game → reckless lending	Agency problem: principal-agent misalignment
Excessive Leverage	Banks operated at 30:1+ leverage ratios; small asset price declines wiped out equity entirely	Financial distress costs; bankruptcy risk ignored
Opacity & Complexity	CDOs, CDO-squared, synthetic CDOs - buyers couldn't assess true risk; ratings agencies conflicted	Information asymmetry; valuation breakdown
Systemic Risk / Contagion	Interconnections meant one failure triggered chain reactions (Lehman → money markets → global credit freeze)	Undiversifiable systemic risk not priced
Moral Hazard	Implicit "too big to fail" guarantee → banks took excessive risk, knowing taxpayer would bail them out	Agency problem at the macro level

Governance Failures - The Corporate Finance Lens

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Executive Compensation & Short-Termism Bonus structures rewarded short-term trading profits, not long-term risk-adjusted returns. This is the Jensen free cash flow problem in reverse - managers over-invested in risky assets to generate fees and bonuses, at the expense of long-run firm value and systemic stability.

Board Failures Board oversight mechanisms (the primary check on agency problems) failed to constrain excessive risk-taking. Independent directors lacked the technical expertise to challenge complex structured product strategies.

Regulatory Capture Regulators were under-resourced, ideologically captured, or lobbied into inaction. The implicit "too big to fail" backstop removed the market discipline that would normally constrain leverage.

Regulatory Response & Lessons Ten Years Later

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Reform	What It Does	Problem It Addresses
Basel III Capital Requirements	Higher minimum capital ratios; counter-cyclical buffers; leverage ratio limit	Excessive leverage
Stress Testing (DFAST / CCAR)	Annual scenario analysis to check bank resilience under adverse shocks	Hidden risk and opacity
Dodd-Frank / Volcker Rule	Restricts proprietary trading; requires resolution plans ("living wills")	Too-big-to-fail; risk culture
Skin in the Game Rules	Originators must retain 5% of securitized loans	Agency problem in originate-to-distribute

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Exam angle: The GFC case connects directly to Chapter 1 (agency problems), Chapter 5 (capital structure - excessive leverage), and the course's ESG thread. Questions may ask you to identify which agency problem or governance failure led to a specific outcome, or how regulation attempts to correct it.

ESG & Sustainable Finance - The Course Thread

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The course explicitly integrates ESG across all four modules of the course. The GFC session crystallizes why governance and ethics matter in finance - not as abstract principles but as determinants of value creation and destruction.

ESG in Investment Decisions (Module I) Investment appraisal increasingly incorporates environmental and social impact alongside financial returns. ESG factors can represent material risks (carbon taxes, regulatory shifts, stranded assets) that must appear in cash flow forecasts and discount rates.

Sustainable Finance (Module II) Green bonds, sustainability-linked loans, and ESG-rated debt allow firms to access capital while signalling commitment to climate goals. The EU Taxonomy and SFDR are reshaping how capital flows to sustainable investments.

Session 10 · Module III - Valuation of a Private Company

Shamrock Capital: Pricing the Masters of Taylor Swift

HBS Case UV8739. Session 10 applies the valuation framework to a private company - Shamrock Capital's acquisition of the master recordings of Taylor Swift's early catalogue. A rich case combining DCF, private company beta estimation, debt financing, and the economics of music rights.

Private Co. Valuation Unlevered Beta Music Rights as Assets FCF Modeling Debt Overhang

Why This Case Matters - Private Company Valuation Challenges

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Valuing a private company is harder than valuing a public one. You can't directly observe beta, market cap, or the market's implied expectations. Shamrock had to build everything from scratch using the comparable companies approach from Chapter 4.

Challenge	Solution Applied	CF Chapter
No publicly traded beta	Unlever betas from comparable public companies (music/entertainment), average, then relever with Shamrock's target D/E	Ch 4 - Beta estimation
Finite cash flow asset (music rights have a defined useful life)	Explicit FCF forecast for the licence period + terminal value at end of useful life	Ch 3 - FCF + Terminal Value
Leverage impact on returns	Model levered vs unlevered returns; assess how debt amplifies equity returns (and risk)	Ch 5 - Capital Structure
No observable market price	DCF as primary tool; comparable transactions as cross-check	Ch 6 - Business Valuation

Music Rights as a Financial Asset - Key Economics

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Revenue Streams from Master Recordings Master recordings generate royalties from: streaming (Spotify, Apple Music), synchronization licences (film, TV, ads), physical/download sales, and performance rights (radio, live). Each stream has different growth, risk, and duration characteristics - which affect how FCFs are built and discounted.

📌

Asset life consideration: Copyright protection for sound recordings varies by jurisdiction but is typically 70 years from publication in the EU and 95 years in the US. However, the economically useful life (the period over which the asset earns material cash flows) may be much shorter - and is what drives the FCF model structure.

🎯

Exam angle: Shamrock demonstrates the full valuation workflow end-to-end for a non-standard asset. Key points: (1) Comparable beta selection and the unlever/relever steps, (2) how to build FCFs for a royalty-generating asset, (3) the role of leverage in amplifying private equity returns (IRR).

Session 11 · Module III - Valuation of a Public Company

Whole Foods Market - The Deutsche Bank Report

HBS Case UV7269. Session 11 applies both DCF and relative valuation to a publicly traded company using an actual sell-side equity research report format. Whole Foods at a strategic crossroads: is it fairly valued, undervalued, or overvalued? The case integrates FCF valuation with EV/EBITDA multiples.

DCF Valuation EV/EBITDA Relative Valuation Sell-Side Research Sensitivity Analysis

Cash Flow Valuation (DCF) for Whole Foods

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The Deutsche Bank report uses DCF as the primary valuation tool - following exactly the 5-step model from Session 8.

Step	What Deutsche Bank Does	Key Judgment
1. Build FCFFs	Project EBIT, NOPLAT, D&A, CapEx, and ΔNWC over explicit forecast period	Revenue growth rate; operating margin trajectory
2. Estimate WACC	CAPM for Ce; bond yield + spread for Cd; market-value weights	Beta estimate; capital structure target
3. Terminal Value	Gordon growth model with a stable long-run growth rate	Terminal growth rate g (most sensitive assumption)
4. Enterprise Value	Discount FCFFs and TV at WACC	WACC sensitivity - small changes move price target significantly
5. Equity Value / Share	EV − Net Debt ÷ shares outstanding	Net debt and non-operating items

Relative Valuation - EV/EBITDA for Whole Foods

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EV/EBITDA Multiple Approach 1. Identify comparable publicly traded grocery/specialty retail peers 2. Calculate EV/EBITDA multiple for each peer EV = Market Cap + Net Debt Multiple = EV / EBITDA (trailing or forward) 3. Apply average (or median) peer multiple to Whole Foods EBITDA Implied EV = Comparable Multiple × Whole Foods EBITDA 4. Subtract Net Debt → Implied Equity Value → Implied Price per Share

🎯

DCF vs Multiple - what to do when they diverge: If DCF gives $35/share and EV/EBITDA gives $28/share, the analyst must explain the gap. Is the DCF using an optimistic terminal growth rate? Are the peer multiples depressed by sector-wide sentiment? The reconciliation is where the insight lives - and likely where an exam question will probe.

Reading a Sell-Side Report - Structure & Biases

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Anatomy of a Deutsche Bank Equity Research Report 1. Investment thesis - one-paragraph buy/hold/sell recommendation with price target
2. Company overview - business model, competitive positioning, key metrics
3. Financial model - 3–5 year explicit P&L, balance sheet, cash flow forecasts
4. Valuation - DCF and/or multiple-based; sensitivity tables on key assumptions
5. Key risks - upside and downside scenarios
6. Appendix - detailed financial statements, comparable companies table

⚠️

Sell-side bias: Recall the misconceptions from Session 8 - all valuations are biased. Sell-side analysts have investment banking relationships with the companies they cover. "Buy" ratings are far more common than "Sell". Read price targets with appropriate scepticism, and always examine the key assumptions rather than just the headline recommendation.

Session 13 · Module IV - Case Study

Apple: The 2013 Dividend Dilemma

HBS Cases 214085 (A) & 214094 (B). In 2013, Apple held $137 billion in cash with 69% parked overseas. CEO Tim Cook faced mounting pressure from activist investors. The case illustrates MM theory, capital structure arbitrage, signaling, and shareholder management in one real-world decision.

MM Proposition I + Taxes Leverage Arbitrage Repatriation Tax Shareholder Activism Signaling

The 2013 Dilemma - Cash Hoarding & Shareholder Pressure

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Fact	Detail
Total cash held	$137 billion
Cash held overseas	~69% (subject to U.S. repatriation tax)
Repatriation tax rate	Up to 35% on foreign earnings brought back to the U.S.
Key activist	David Einhorn (Greenlight Capital) - proposed "iPrefs" (preferred shares paying dividends without repatriating cash)
Later activist	Carl Icahn - demanded buybacks of up to $150B, arguing stock was undervalued

🎯

Options Apple faced: (1) Increase dividends, (2) Repurchase shares, (3) Issue "iPrefs" - preferred shares paying dividends without triggering repatriation, (4) Retain cash for strategic flexibility (acquisitions, R&D).

Capital Structure Arbitrage - Apple's Debt Strategy

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Apple's solution was elegant: it issued corporate bonds in the U.S. to fund buybacks and dividends, while leaving overseas cash untouched. This was not borrowing out of need - it was deliberate leverage arbitrage.

Why Issue Debt When You Have $137B in Cash?

Avoided repatriation tax: Bringing overseas cash to the U.S. would trigger ~35% tax. Cheaper to borrow locally at low rates.
Exploited historically low interest rates: Apple issued bonds at very low yields (e.g., 3-year bonds near 0.5%), well below the cost of repatriation.
Interest tax shield: Debt interest is tax-deductible - reduces WACC and increases firm value.
Reduced equity base: Buybacks reduce shares outstanding → increases EPS and ROE for remaining shareholders.

📌

MM Proposition I with Taxes: V_Levered = V_Unlevered + PV(Tax Shield). Apple's bond issuance is a textbook case of capital structure management increasing firm value through the tax shield on debt. The course materials specifically uses Apple to illustrate MM in practice.

Shareholder Activism & Market Response

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Event	Detail
Carl Icahn's demand	$150B buyback - argued Apple was deeply undervalued at ~$420/share
Apple's response	Didn't meet Icahn's full target but launched aggressive capital return program
Stock price impact	Rose from ~$420 (April 2013) to over $600 (mid-2014)
Signal sent	Management confident in sustainable earnings; no need to hoard all cash defensively

Apple Case - Exam Takeaways

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✓

Capital Structure in Practice: Apple's bond issuance exemplifies strategic use of leverage in a tax-constrained global context. Debt was used not out of need but as a tax arbitrage tool - a practical case of MM with taxes.

✓

Dividend Policy & Signaling: Apple balanced dividend increases and buybacks, signaling confidence in sustained earnings while retaining strategic flexibility. Both channels matter - dividends for income clienteles, buybacks for flexibility.

✓

Shareholder Management: The capital return program responded to activist pressure but retained management control over strategic direction. This illustrates how agency theory plays out in real governance disputes.

✓

Global Cash Management: Cross-border tax regimes (repatriation tax) directly influenced domestic capital structure. International context creates real-world deviations from the clean MM world.

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Likely Exam Angle: Questions may ask you to connect Apple's debt issuance to MM Proposition I with taxes, explain why it made sense to borrow domestically rather than repatriate, or apply the FCFE/Dividend Matrix framework to assess whether Apple was paying too little or too much given its cash position and project pipeline.

Reference · Exam Allowed

Formula Cheat Sheet

All formulas from the course official exam formula sheet, organized by topic with session cross-references. You may carry this sheet into the exam. Understand when to use each formula, not just the formula itself.

Bond Valuation S4

BOND PRICE N C FV P = Σ ------------ + ------------ t=1 (1 + r)ᵗ (1 + r)ᴺ // C = Coupon payment per period // FV = Face (par) value at maturity // r = Yield to maturity (YTM) per period // N = Number of periods to maturity

CAPM & Cost of Equity S4

CAPM (Cost of Equity) Ce = Rf + β × MP // Rf = Risk-free rate (current T-bond yield for long-term DCF) // β = Equity beta (levered) // MP = Market Risk Premium (E[Rm] - Rf) With Country Risk Premium Ce = Rf + β × MP + CRP // CRP = Country Risk Premium (for emerging markets)

WACC S4 · S5

WACC = Ce × [E/(D+E)] + Cd × (1−t) × [D/(D+E)] // Ce = Cost of Equity // Cd = Pre-tax cost of debt = Rf + Default Spread // t = Marginal corporate tax rate // E = Market Value of Equity // D = Market Value of Debt // Weights MUST be market value weights Cost of Debt (pre-tax) Cd = Rf + Default Spread After-tax Cost of Debt Cd(at) = Cd × (1 − t)

Levering & Unlevering Beta S4 · Official Sheet

UNLEVER (equity beta → asset beta): βU = βL / [1 + (1−t) × (D/E)] RELEVER (asset beta → equity beta): βL = βU × [1 + (1−t) × (D/E)] // βL = Levered (equity) beta - reflects business + financial risk // βU = Unlevered (asset) beta - reflects business risk only // t = Marginal corporate tax rate // D/E = Debt-to-equity ratio (market values) Step-by-step for private company / project: 1. Get βL of comparable public companies 2. Unlever each → βU = βL / [1+(1-t)(D/E)] 3. Average the βU values 4. Relever with YOUR D/E → βL = βU × [1+(1-t)(D/E)] 5. Plug into CAPM → Ce = Rf + βL × MP

Free Cash Flows - FCFF & FCFE S3 · Official Sheet

FREE CASH FLOW TO FIRM (FCFF) - Unlevered EBIT − Taxes on EBIT = NOPLAT + Depreciation & Amortization − Capital Expenditures − Changes in Working Capital Requirements = FREE CASH FLOW TO FIRM (FCFF) // Pre-debt, post-tax. No interest deducted. Discounted at WACC. FREE CASH FLOW TO EQUITY (FCFE) - Path 1 (from Net Income) Net Income + Depreciation & Amortization = 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) FREE CASH FLOW TO EQUITY (FCFE) - Path 2 (from EBIT) EBIT − Taxes on EBIT = NOPLAT + Depreciation & Amortization − Capital Expenditures − Working Capital Needs = Free Cash Flow (to Firm) − Interest Expense × (1−t) − Principal Repayments + Proceeds from New Debt Issues − Preferred Dividends = FREE CASH FLOW TO EQUITY (FCFE) // FCFE discounted at Cost of Equity (Ce) → Equity Value

Terminal Value Ch 3 · Ch 6 · Formula Sheet

TERMINAL VALUE - Stable Growth (Growing Perpetuity) FCF_(N+1) FCF_N × (1+g) TV = -------------- = ---------------- WACC − g WACC − g // g = stable, sustainable long-run growth rate // g MUST be ≤ long-run nominal GDP growth rate // FCF_N+1 is the FIRST cash flow in the stable growth period TV must be discounted back to t=0: PV(TV) = TV_N / (1 + WACC)ᴺ

Full Project / Firm Valuation S3 · S8–9 · Official Sheet

VALUE OF A PROJECT / FIRM N FCF_t TV_N V = Σ ------------ + ------------ t=1 (1+WACC)ᵗ (1+WACC)ᴺ // Sum of discounted FCFs over explicit forecast period, plus discounted TV NPV of a Project NPV = V − Initial Investment (I₀) From Enterprise Value to Equity Value Equity Value = Enterprise Value − Net Debt (Market Value of Debt − Excess Cash) + Non-Operating Assets Value Per Share P = Equity Value / Shares Outstanding

Dividend Policy Measures S12

Dividend Yield = DPS / Share Price Payout Ratio = DPS / EPS Total Payout Ratio = (Dividends + Buybacks) / Net Income FCFE Coverage = Dividends / FCFE Net Equity Issuance = Buybacks − Equity Raised // Payout ratio cannot be computed if EPS is negative // FCFE Coverage > 1 means paying more than the firm can sustainably afford

Capital Structure - Static Trade-Off S5

Levered Firm Value (with Tax Shield, no Distress) V_L = V_U + D × t Levered Firm Value (with Tax Shield + Financial Distress) V_L = V_U + PV(Tax Shield) − PV(Costs of Financial Distress) = V_U + D×t − PV(CFD) // At optimal D*: Marginal tax benefit = Marginal distress cost // WACC is minimized → Firm value is maximized at D*

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Exam tip - Formula Sheet Usage: You carry this sheet in. The exam is not about remembering formulas - it is about knowing which formula to use when, which inputs go where, and what the formula tells you conceptually. Pay particular attention to: (1) FCFF vs FCFE path selection, (2) which discount rate matches which cash flow, (3) the beta lever/unlever sequence for private companies.

Reference

Glossary of Key Terms

Definitions of the most important concepts across all seven chapters. Each definition is written in exam-ready language - precise enough to score marks, but intuitive enough to actually understand.

Core Concepts

Ch 1

Agency Problem

The conflict of interest arising when agents (managers) act in their own self-interest rather than maximizing the value of the principals (shareholders) who employed them.

Agency Costs

Costs incurred to mitigate the agency problem, including monitoring costs (audits, board oversight), bonding costs (compensation contracts), and residual losses from suboptimal decisions.

Investment Decision

The choice of which real assets (projects) to invest in. The firm should invest when the expected return exceeds the minimum acceptable hurdle rate (WACC).

Financing Decision

The choice of how to fund investments - through debt, equity, or hybrid securities. The goal is to find the capital structure that minimizes WACC and maximizes firm value.

Dividend Decision

The decision of whether to return residual cash to shareholders (via dividends or buybacks) or retain it for reinvestment. Governed by investment opportunities, lifecycle stage, and management trustworthiness.

Jensen's Free Cash Flow Hypothesis

Managers with excess free cash flow tend to invest in value-destroying projects. Dividends and debt payments discipline managers by reducing discretionary cash flows (Jensen, 1986).

Capital Budgeting

Ch 2

Net Present Value (NPV)

The difference between the present value of future expected cash flows and the initial investment. Measures the dollar value created by an investment. NPV > 0 → Accept.

Internal Rate of Return (IRR)

The discount rate that makes NPV = 0. The "break-even" cost of capital for the project. Accept if IRR > hurdle rate k. Can give wrong answers for non-normal cash flows.

Hurdle Rate

The minimum acceptable return for a project. Should reflect the riskiness of the project and the mix of debt and equity used to fund it. Typically the WACC, adjusted for project-specific risk.

Profitability Index (PI)

NPV divided by initial investment. Measures value created per dollar invested. Used to rank projects when capital is rationed and projects are mutually exclusive.

Capital Rationing

A constraint on total investment spending that forces the firm to choose among competing projects rather than accepting all positive-NPV ones. Makes PI the preferred ranking tool.

Mutually Exclusive Projects

Projects where accepting one means rejecting all others. NPV is the correct decision rule - choose the project with the highest NPV, not the highest IRR.

Free Cash Flows

Ch 3

FCFF (Free Cash Flow to Firm)

Cash flow available to all capital providers (debt + equity) before any financing payments. Computed from EBIT, net of taxes (on EBIT), adding back depreciation, minus CapEx and ΔWC. Discounted at WACC.

FCFE (Free Cash Flow to Equity)

Cash flow available to equity holders after debt payments. Starts from Net Income or adjusts FCFF for after-tax interest and net debt changes. Discounted at Cost of Equity (Ce).

NOPLAT

Net Operating Profit Less Adjusted Taxes. EBIT × (1 − tax rate). The after-tax operating profit as if the firm were fully equity-financed. The correct starting point for FCFF.

Depreciation Tax Shield

The reduction in tax payment resulting from depreciation deductions. Tax Shield = Depreciation × Tax Rate. Increases FCF; the only reason depreciation matters in a DCF model.

Working Capital (ΔWC)

Cash tied up in operations (inventories + receivables − payables + operating cash). An increase in WC is a cash outflow (reduces FCF). Fully recovered at project end.

Terminal Value (TV)

The present value (at the end of the explicit forecast period) of all cash flows beyond that period. For ongoing businesses, estimated as a growing perpetuity: TV = FCF_{N+1} / (WACC − g).

WACC & Capital Structure

Ch 4 · Ch 5

WACC

Weighted Average Cost of Capital. The blended required return of all capital providers, weighted by their market value proportions. Used as the discount rate for FCFF and as the hurdle rate for firm-level investment decisions.

Beta (β)

A measure of systematic (non-diversifiable) risk. The slope of the regression of stock returns on market returns. β = 1 = average risk; β > 1 = above average; β < 1 = below average; β = 0 = riskless.

Asset Beta (Unlevered Beta, βU)

Beta stripped of financial leverage - reflects only the business (operational) risk of the firm. Used to compare risk across firms with different capital structures.

Equity Beta (Levered Beta, βL)

Observed beta of a firm's stock. Reflects both business risk AND financial risk (leverage). βL = βU × [1 + (1−t)(D/E)]. Higher leverage → higher βL → higher Ce.

Market Risk Premium (MP)

The excess return of the stock market over the risk-free rate required by investors. Compensates for bearing systematic risk. Typical range: 4–6% in developed markets.

Static Trade-Off Model

Capital structure theory stating that firms balance the tax shield benefits of debt against the costs of financial distress to find an optimal leverage ratio D* that maximizes firm value (minimizes WACC).

Tax Shield (of Debt)

The reduction in tax liability from the deductibility of interest expense. PV(Tax Shield) = D × t (perpetual debt). Captured in WACC via the (1−t) factor on the cost of debt.

Pecking Order Theory

Firms prefer internal financing (retained earnings) first, then debt, then equity. Reflects information asymmetry - equity issuance signals to the market that management believes the stock is overvalued.

Financial Distress Costs

Direct (legal, administrative costs of bankruptcy) and indirect (lost customers, suppliers, talent; foregone investment) costs that arise as leverage increases and distress risk grows.

Valuation & Dividends

Ch 6 · Ch 7

Enterprise Value (EV)

The total value of a firm to all capital providers. EV = Equity Value + Net Debt. Represents what a buyer would pay to acquire the entire firm, free of cash but including all debt obligations.

Intrinsic Value

The true, fundamental value of an asset based on its expected cash flows, risk, and growth - independent of current market price. DCF models estimate intrinsic value.

MM Dividend Irrelevance

Modigliani-Miller proposition that in perfect markets (no taxes, no frictions), dividend policy does not affect firm value. Investors can create "homemade dividends" by selling shares.

Dividend Signaling

Dividend changes convey information about management's expectations for future earnings. Increases signal confidence; cuts signal distress. Reaction is asymmetric - cuts hurt more than increases help.

Clientele Effect

Different investors prefer different dividend policies based on their tax situation and income needs. Firms attract a specific investor "clientele" aligned with their policy; changing policy disrupts the base.

Dividend Smoothing

The practice of maintaining stable or gradually increasing dividends even when earnings fluctuate. Motivated by signaling theory and clientele effects - firms avoid cutting to preserve credibility.

Share Buyback (Repurchase)

Return of cash to shareholders by repurchasing shares in the open market or via tender offer. More flexible and tax-efficient than dividends. Optimal when stock is undervalued or to offset dilution from stock options.

FCFE Coverage Ratio

Dividends paid divided by Free Cash Flow to Equity (FCFE). A coverage ratio > 1 signals the firm is paying more than it can sustainably afford - borrowing or depleting cash to maintain dividends.