10.7: Key Terms
- Page ID
- 154222
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)This section provides concise definitions of key financing decisions, cost of capital, WACC, leverage, and dividend policy terms introduced in Chapter 10. These definitions are presented in a static, printable format for reference and exam preparation. When viewed online, additional dynamic highlighting of terms may be available.
| Term | Definition |
|---|---|
| After-tax cost of debt | The cost of debt adjusted for the tax deductibility of interest: \(k_D(1-T_c)\). This is the relevant debt cost used in WACC. |
| Capital structure | The firm’s long-term financing mix, typically consisting of debt, preferred stock, and common equity, used to fund assets and operations. |
| Capital structure weights | The fractions of total firm value financed by each component (debt, preferred, equity), usually computed using market values: \(w_i=V_i/\sum V\). |
| Combined leverage (DCL) | The sensitivity of EPS to changes in sales, capturing both operating and financial leverage: \(\text{DCL}=\text{DOL}\times\text{DFL}=\frac{\%\Delta \text{EPS}}{\%\Delta \text{Sales}}\). |
| Cost of capital | A required return demanded by capital providers (lenders and investors). It is not an accounting expense; it reflects opportunity cost given risk. |
| Cost of debt (kD) | The market’s required return on the firm’s borrowing, commonly estimated by yield to maturity (YTM) for traded bonds or the current borrowing rate for similar loans. |
| Cost of equity (kE) | The required return demanded by common stockholders. Often estimated using CAPM or the dividend growth (DDM) approach. |
| Cost of preferred stock (kP) | The required return on preferred stock, often approximated as a dividend yield: \(k_P=\frac{D_P}{P_P}\), where \(D_P\) is the annual preferred dividend. |
| Degree of financial leverage (DFL) | The sensitivity of EPS to changes in EBIT due to fixed interest expense: \(\text{DFL}=\frac{\%\Delta \text{EPS}}{\%\Delta \text{EBIT}}=\frac{\text{EBIT}}{\text{EBIT}-\text{Interest}}\). |
| Degree of operating leverage (DOL) | The sensitivity of EBIT to changes in sales due to fixed operating costs: \(\text{DOL}=\frac{\%\Delta \text{EBIT}}{\%\Delta \text{Sales}}=\frac{\text{Sales}-\text{VC}}{\text{Sales}-\text{VC}-\text{FC}}\). |
| Dividend policy | The firm’s approach to distributing earnings to shareholders versus retaining earnings for reinvestment, affecting internal financing capacity and growth. |
| Dividend Discount Model (DDM) | A cost of equity (and valuation) approach for dividend-paying firms: \(k_E=\frac{D_1}{P_0}+g\), where \(D_1\) is next period’s dividend and \(g\) is expected growth. |
| EPS–EBIT indifference point | The EBIT level at which two financing plans produce the same EPS, used to compare debt versus equity financing trade-offs. |
| Financial leverage | Leverage created by fixed financing charges (primarily interest). Higher financial leverage increases EPS sensitivity to changes in EBIT. |
| Interest tax shield | The tax savings created because interest is tax-deductible. The after-tax cost of debt is lower than the pre-tax cost due to this shield. |
| Term | Definition |
|---|---|
| Marginal WACC | The cost of the next dollar of new capital raised. If new financing is more expensive than existing financing, marginal WACC can exceed current WACC. |
| Market value weights | WACC weights based on the current market values of debt, preferred, and equity. Used because investor required returns reflect current prices, not historical book values. |
| Market risk premium | The expected excess return of the market over the risk-free rate, \(E[R_m]-r_f\), used in CAPM to estimate the cost of equity. |
| Operating leverage | Leverage created by fixed operating costs (such as rent, depreciation, and salaries). Higher operating leverage increases EBIT sensitivity to sales changes. |
| Payout ratio | The fraction of net income paid to shareholders as dividends: \(\text{Payout}=\frac{\text{Dividends}}{\text{Net Income}}\). |
| Preferred stock | A hybrid security that typically pays a fixed dividend and has priority over common stock in dividend payments, but usually has limited or no voting rights. |
| Project risk adjustment | Modifying the discount rate upward for riskier-than-average projects or downward for safer projects, instead of using firm-wide WACC mechanically. |
| Required return | The return investors demand given risk. In corporate finance, required return is used as the discount rate for valuation and capital budgeting decisions. |
| Retention ratio (plowback) | The fraction of net income retained in the firm for reinvestment: \(b=1-\text{Payout}\). Retained earnings are an internal source of equity financing. |
| Risk-free rate (rf) | The return on an investment with minimal default risk over a comparable horizon (often proxied by U.S. Treasury yields), used in CAPM. |
| Sustainable growth rate | An approximate measure of how fast a firm can grow using internal equity financing, often summarized as \(g \approx \text{ROE}\times b\). |
| Trade-off theory | The idea that optimal leverage balances the benefits of debt (tax shield) against the expected costs of financial distress and agency problems. |
| Weighted average cost of capital (WACC) | The firm’s blended required return across financing sources, used as a hurdle rate for average-risk projects: \(\text{WACC}=w_Dk_D(1-T_c)+w_Pk_P+w_Ek_E\). |
| Yield to maturity (YTM) | The bond’s internal rate of return if held to maturity, based on current price, coupon payments, and par value. Commonly used to estimate the pre-tax cost of debt. |


