AFM 274: Introduction to Corporate Finance
Estimated study time: 27 minutes
Table of contents
Sources and References
Primary textbook — Berk, J., DeMarzo, P., and Stangeland, D. Corporate Finance, Sixth Canadian Edition. Pearson Canada, 2024.
Supplementary — Brealey, R. A., Myers, S. C., and Allen, F. Principles of Corporate Finance, 13th Edition. McGraw-Hill, 2020.
Online resources — MIT OpenCourseWare 15.401 Finance Theory I; CFA Institute curriculum on capital structure and valuation.
Chapter 1: Risk and Return — Foundations
The Risk-Return Tradeoff
Every financial decision begins with a fundamental tradeoff: to earn higher expected returns, an investor must accept greater risk. This principle governs not only individual investment decisions but also corporate financial policy. A firm’s cost of capital — the rate of return demanded by investors — depends directly on the riskiness of the firm’s assets and cash flows.
Systematic vs. Idiosyncratic Risk
Financial risk decomposes into two components. Systematic risk (also called market risk or undiversifiable risk) arises from economy-wide forces such as recessions, changes in interest rates, and inflation. Because systematic risk affects all firms simultaneously, it cannot be eliminated by diversification. Idiosyncratic risk (firm-specific or unsystematic risk) arises from events unique to a company, such as a product recall or executive departure. Holding a diversified portfolio causes idiosyncratic risks to cancel out.
The Capital Asset Pricing Model (CAPM) formalizes this insight. The only risk investors are compensated for bearing is systematic risk, measured by beta (\(\beta\)):
\[ r_i = r_f + \beta_i (r_m - r_f) \]where \(r_i\) is the required return on asset \(i\), \(r_f\) is the risk-free rate, \(r_m\) is the expected market return, and \((r_m - r_f)\) is the equity risk premium (ERP). A firm with \(\beta = 1.5\) is 50% more sensitive to market movements than the average asset.
Portfolio Theory and Diversification
Harry Markowitz demonstrated that combining assets whose returns are not perfectly correlated reduces portfolio variance. For a two-asset portfolio:
\[ \sigma_p^2 = w_1^2 \sigma_1^2 + w_2^2 \sigma_2^2 + 2 w_1 w_2 \sigma_{12} \]where \(\sigma_{12} = \rho_{12} \sigma_1 \sigma_2\) is the covariance between assets 1 and 2. The lower the correlation \(\rho_{12}\), the greater the diversification benefit.
Chapter 2: Capital Structure in Perfect Capital Markets
The Modigliani-Miller Propositions
In 1958, Franco Modigliani and Merton Miller (MM) posed a deceptively simple question: does the way a firm finances itself affect its total value? Under idealized conditions — no taxes, no bankruptcy costs, no information asymmetries, and complete markets — the answer is no.
The intuition is an arbitrage argument. If a levered firm traded at a different price than an equivalent unlevered firm, investors could replicate the payoff of one using the other plus personal borrowing or lending, eliminating any price difference.
where \(r_U\) is the return on the unlevered firm, \(r_D\) is the cost of debt, and \(D/E\) is the debt-to-equity ratio.
As debt increases, the equity holders face more financial risk (their residual claim is more volatile), so they demand a higher expected return. The weighted average cost of capital (WACC) remains constant:
\[ \text{WACC} = \frac{E}{V} r_E + \frac{D}{V} r_D \]Why Perfect Markets Are a Starting Point
The MM framework is valuable precisely because it identifies the conditions under which capital structure would be irrelevant. In reality, taxes, financial distress costs, and information asymmetries make capital structure matter enormously. The subsequent chapters relax each assumption in turn.
Chapter 3: Debt and Taxes
The Tax Shield
The Canadian Income Tax Act (and its counterparts worldwide) allows corporations to deduct interest expense before calculating taxable income. Dividends paid to equity holders are not deductible. This asymmetry gives debt a tax advantage.
The interest tax shield is the tax saving generated by debt in each period:
\[ \text{Interest Tax Shield}_t = \tau_c \times r_D \times D_t \]where \(\tau_c\) is the corporate tax rate and \(D_t\) is the outstanding debt in period \(t\). If the firm maintains a fixed level of perpetual debt, the present value of all future tax shields is:
\[ PV(\text{Tax Shield}) = \tau_c \times D \]This leads to the first important modification of MM:
The value of the levered firm exceeds that of the unlevered firm by the present value of the interest tax shield.
The WACC with Taxes
When taxes are present, the after-tax cost of debt is \(r_D (1 - \tau_c)\), giving:
\[ \text{WACC} = \frac{E}{V} r_E + \frac{D}{V} r_D (1 - \tau_c) \]The tax shield lowers the WACC, which raises firm value when future free cash flows are discounted at the lower rate.
Limitations: Personal Taxes
Miller (1977) extended the analysis to include personal taxes. Investors pay taxes on interest income at the personal rate \(\tau_{pD}\) and on equity income (dividends and capital gains) at an effective rate \(\tau_{pE}\). The net tax advantage of debt relative to equity is:
\[ \text{Net Tax Advantage} = 1 - \frac{(1-\tau_c)(1-\tau_{pE})}{(1-\tau_{pD})} \]In Canada, dividend tax credits and the preferential treatment of capital gains reduce (but typically do not eliminate) the tax advantage of corporate debt.
Chapter 4: Financial Distress, Managerial Incentives, and Information
Costs of Financial Distress
As leverage rises, the probability that a firm cannot meet its debt obligations increases. Financial distress — the situation where cash flows may be insufficient to service debt — imposes real costs that offset the tax shield benefit.
Direct costs include legal fees, administrative costs of bankruptcy proceedings, and management time diverted to financial restructuring rather than value creation. Studies estimate these at 3–5% of firm value for large firms, higher for small firms.
Indirect costs are often larger:
- Underinvestment (debt overhang): When a firm is in financial distress, shareholders may refuse to fund positive-NPV projects if the gains accrue primarily to bondholders. This “debt overhang” problem (identified by Myers, 1977) destroys value.
- Asset substitution (risk shifting): Levered equity holders have an incentive to take on excessive risk, because they capture the upside of risky projects while bondholders bear more of the downside. This effectively transfers wealth from creditors to shareholders.
- Loss of customers and suppliers: Customers of distressed firms may lose confidence in future warranty and service commitments. Suppliers may demand cash payment rather than extending trade credit.
An interior optimum exists where these marginal values are equal.
Agency Costs and Capital Structure
Agency costs of equity arise from separation of ownership and control. Managers (agents) may consume perquisites, pursue empire building, or underperform when shareholders (principals) cannot perfectly monitor them. Leverage mitigates some of these costs by (a) reducing free cash flow available for wasteful spending and (b) subjecting management to market discipline — a firm that cannot service its debt faces takeover or bankruptcy.
Agency costs of debt take the form of the underinvestment and asset substitution problems described above. Protective covenants in bond indentures restrict dividend payments, additional borrowing, and asset sales to partially address these problems.
Signaling and Information Asymmetry
Managers typically know more about the firm’s prospects than outside investors. This information asymmetry shapes financing choices.
Pecking order theory (Myers and Majluf, 1984) proposes that firms prefer internally generated funds, then debt, and issue equity only as a last resort. The reason: equity issuance signals to the market that management believes the stock is overvalued, causing the stock price to fall. Debt does not convey this negative signal as strongly.
Signaling with debt: Issuing debt can also signal confidence — management is willing to commit to fixed cash outflows, suggesting they believe future cash flows will be sufficient.
Chapter 5: Payout Policy
Forms of Payout
A firm distributes cash to shareholders primarily through dividends and share repurchases. The choice between these mechanisms has important implications for taxes, signaling, and financial flexibility.
Cash dividends are declared by the board and paid to shareholders of record on the record date. In Canada, eligible dividends from Canadian corporations receive a dividend tax credit that partially offsets double taxation (the firm pays corporate tax; the shareholder then pays personal tax on dividends). The ex-dividend date is the date after which a buyer of the stock will not receive the upcoming dividend.
Share repurchases (buybacks) allow the firm to return cash to shareholders who choose to sell. Shareholders who do not participate see their percentage ownership increase. Repurchases are more tax-efficient when capital gains taxes are lower than dividend taxes.
The MM Dividend Irrelevance Theorem
Under the same idealized conditions as MM capital structure irrelevance, Modigliani and Miller (1961) showed that dividend policy is also irrelevant. Given a fixed investment policy, any dollar paid as a dividend reduces retained earnings by a dollar, requiring the firm to raise an additional dollar from the capital market. Existing shareholders lose in one form (stock price decline) exactly what they gain in another (dividend received).
In practice, dividends matter for several reasons:
- Tax effects: Differential personal taxation of dividends and capital gains creates payout preferences.
- Clientele effect: Different investor clienteles prefer different payout policies (e.g., retirees seeking income prefer dividends; high-income investors in high tax brackets may prefer repurchases).
- Signaling: Dividend increases convey management’s confidence in sustained future earnings; cuts are associated with sharp negative stock price reactions.
- Agency costs: Regular dividends commit firms to distributing cash, reducing the free cash flow available for wasteful managerial spending.
Practical Payout Policy
The dividend smoothing phenomenon is well-documented: firms adjust dividends gradually toward a target payout ratio, as modeled by Lintner (1956):
\[ \Delta DIV_t = \text{SOA} \times \left[ \text{Target Payout} \times EPS_t - DIV_{t-1} \right] \]where SOA (speed of adjustment) is typically 0.3 to 0.5 for large North American firms.
Special dividends — one-time distributions of unusually large amounts — allow firms to return excess cash without committing to a permanent dividend level. Share repurchases provide similar flexibility.
Chapter 6: Capital Budgeting and Valuation with Leverage
Interactions Between Financing and Investment
The WACC and APV methods extend basic NPV analysis to situations where the firm finances projects partially with debt. The key challenge is capturing the tax shield value accurately.
The WACC Method
The most common approach discounts all-equity free cash flows at the after-tax WACC:
\[ V_L = \sum_{t=1}^{T} \frac{FCF_t}{(1 + \text{WACC})^t} \]This approach implicitly assumes the firm rebalances debt continuously to maintain a constant debt-to-value ratio. The tax shield is embedded in the discount rate rather than valued separately.
Free Cash Flow is defined as:
\[ FCF = EBIT(1 - \tau_c) + \text{Depreciation} - \Delta NWC - \text{CAPEX} \]The APV Method
The Adjusted Present Value (APV) method, developed by Myers (1974), separates the base-case value from financing effects:
\[ APV = V_U + PV(\text{Tax Shield}) - PV(\text{Financial Distress Costs}) \]The base-case value \(V_U\) is computed by discounting FCF at the unlevered cost of equity \(r_U\), reflecting the risk of assets alone without any financing benefit. Then, each financing side-effect is valued and added (or subtracted) separately.
APV is particularly useful when the debt level is predetermined (not rebalanced with firm value), such as in leveraged buyouts where large amounts of fixed debt are scheduled for repayment.
Relationship Between WACC and APV
For a firm maintaining a fixed debt-to-value ratio \(D/V = d\):
\[ r_U = \frac{E}{V} r_E + \frac{D}{V} r_D \]\[ \text{WACC} = r_U \left( 1 - \tau_c d \right) \]For fixed-debt schedules (APV context), the Miles-Ezzell or Harris-Pringle adjustments are applied to correctly unlever and relever discount rates.
Beta and Leverage
When a firm changes its capital structure, both its equity beta and the risk perceived by equity investors change. The relationship between asset (unlevered) beta and equity (levered) beta is:
\[ \beta_U = \frac{E}{E + D(1-\tau_c)} \beta_E + \frac{D(1-\tau_c)}{E + D(1-\tau_c)} \beta_D \]Assuming debt beta \(\beta_D \approx 0\):
\[ \beta_E = \beta_U \left( 1 + \frac{D(1-\tau_c)}{E} \right) \]This “Hamada equation” is essential for estimating the cost of equity for a project financed differently from the firm’s current capital structure.
Chapter 7: Equity Financing
Initial Public Offerings
A firm raises external equity for the first time through an Initial Public Offering (IPO). The process involves several stages:
- Selection of underwriters: Investment banks advise on timing, pricing, and conduct the sale. Most IPOs use firm-commitment underwriting, where the bank guarantees a price and takes the residual risk.
- Registration: Securities regulators (in Canada, provincial commissions coordinated by the CSA) require a prospectus — a detailed disclosure document covering financial history, use of proceeds, and risk factors.
- Roadshow and book-building: The underwriter solicits indications of interest from institutional investors to gauge demand and set the offering price.
- IPO pricing: The offer price is typically set at a discount to expected market value, creating IPO underpricing — the phenomenon where the first-day closing price typically exceeds the offer price. Average first-day returns in Canada and the US range from 10 to 20%. Explanations include information asymmetry (Rock’s “winner’s curse”), underwriter incentives, and regulatory constraints.
Seasoned Equity Offerings and Rights Issues
After going public, a firm may raise additional equity through a Seasoned Equity Offering (SEO). SEO announcements typically cause stock prices to fall 2–3%, consistent with signaling theories (negative signal of equity issuance when managers have superior information). In a rights offering, existing shareholders receive subscription rights allowing them to purchase new shares at a discount, preserving their proportional ownership.
Private Equity and Venture Capital
Before an IPO, firms often raise equity from angel investors, venture capital (VC) firms, or private equity (PE) funds. VC firms typically take preferred equity with liquidation preferences, anti-dilution protections, and board seats. PE firms (in leveraged buyouts) use high levels of debt to acquire mature firms, seeking value through operational improvements and subsequent sale or IPO.
Chapter 8: Debt Financing
Types of Debt Securities
Corporate debt ranges from short-term commercial paper to long-term bonds. Key characteristics of a bond include the face value (par), coupon rate, maturity, and covenants.
Secured debt is backed by specific assets (collateral). Unsecured debt (debentures) has a general claim on assets. In the priority waterfall at bankruptcy, secured creditors are paid first, followed by senior unsecured creditors, subordinated debt holders, and finally equity holders.
Indenture covenants are contractual restrictions designed to protect bondholders:
- Affirmative covenants: Firm must maintain minimum financial ratios (e.g., interest coverage).
- Negative covenants: Firm may not pay dividends above a threshold, issue additional senior debt, or sell major assets without consent.
- Call provisions: Allow the firm to repurchase bonds before maturity at a preset call price, giving flexibility if interest rates fall.
- Convertible provisions: Allow bondholders to convert to equity at a preset conversion ratio, participating in upside.
Bond Pricing and Duration
A bond’s price equals the present value of its future cash flows:
\[ P = \sum_{t=1}^{T} \frac{C}{(1+y)^t} + \frac{F}{(1+y)^T} \]where \(C\) is the periodic coupon payment, \(F\) is face value, and \(y\) is the yield to maturity (YTM). A bond’s duration measures the weighted average time to receive cash flows and approximates price sensitivity to yield changes:
\[ \% \Delta P \approx -D^* \times \Delta y \]where \(D^* = D / (1+y)\) is the modified duration.
Credit Risk and Ratings
Credit rating agencies (Moody’s, S&P, DBRS Morningstar in Canada) assign ratings from AAA (highest quality) to D (default). The credit spread — the yield differential between a corporate bond and a government bond of the same maturity — compensates investors for default risk, liquidity risk, and taxation differences.
Chapter 9: Working Capital Management and Short-Term Financing
The Operating and Cash Conversion Cycles
Working capital is the excess of current assets over current liabilities. Effective management requires understanding the cash conversion cycle (CCC):
\[ CCC = DIO + DSO - DPO \]where:
- DIO (Days Inventory Outstanding): Average number of days inventory is held before sale \(= \text{Inventory} / (\text{COGS}/365)\)
- DSO (Days Sales Outstanding): Average collection period for receivables \(= \text{Accounts Receivable} / (\text{Sales}/365)\)
- DPO (Days Payable Outstanding): Average days to pay suppliers \(= \text{Accounts Payable} / (\text{COGS}/365)\)
A shorter CCC implies the firm needs less permanent working capital investment. Firms aim to minimize DIO and DSO while extending DPO (within reasonable credit terms).
Cash Management
Firms hold cash for three reasons (Keynes): transaction needs, precautionary buffers against uncertainty, and speculative opportunities. The Baumol model and Miller-Orr model formalize optimal cash balance determination.
Excess cash can be invested in short-term money market instruments: treasury bills, banker’s acceptances, and commercial paper. These instruments have low default risk and high liquidity but yield lower returns than longer-term assets.
Short-Term Financing Sources
Trade credit is the implicit financing obtained by delaying payment to suppliers. The annualized cost of forgoing an early-payment discount (e.g., “2/10 net 30”) is:
\[ \text{Cost} = \left( 1 + \frac{d}{1-d} \right)^{365/N} - 1 \]where \(d\) is the discount rate and \(N\) is the extra days gained by delaying payment.
Bank lines of credit provide revolving or committed credit. Commercial paper is short-term (up to 270 days in the US) unsecured notes issued by high-quality firms directly in the money market. Factoring involves selling accounts receivable to a financial intermediary at a discount, converting receivables to immediate cash.
Estimating Short-Term Financing Needs
The cash budget projects cash inflows (collections from sales) and outflows (payments for purchases, wages, taxes, capital expenditures) over a planning horizon, revealing when external short-term financing will be needed and when surplus cash will be available for investment.
A seasonal business — a retailer building inventory before the holiday season, for example — typically needs short-term borrowing to finance peak inventory and receivables, repaid after the season when collections come in.
Summary
AFM 274 traces the corporate finance decision framework from the idealized world of MM irrelevance propositions through the real-world frictions of taxes, financial distress, agency conflicts, and information asymmetry. The central insight is that firm value is maximized by choosing the capital structure and payout policy that optimally exploits tax shields, minimizes distress costs, mitigates agency problems, and credibly signals private information. Valuation with leverage — through both WACC and APV — provides the technical toolkit to implement these insights, while the chapters on equity, debt, and working capital describe the institutions through which financing decisions are executed.
