Reading 30: Cost of Capital—Foundational Topics

50 questions available

Weighted Average Cost of Capital (WACC)5 min
The WACC represents the average rate of return a company must pay to its investors for the use of their capital. It is the discount rate used in capital budgeting for projects with risk profiles similar to the firm's existing operations. The WACC formula aggregates the costs of debt, preferred stock, and common equity, weighted by their market value proportions in the target capital structure. The cost of debt is the only component adjusted for taxes (kd(1-t)) because interest expense provides a tax shield. The weights should be based on the target capital structure, which is the mix of debt and equity the firm aims to maintain over the long run.

Key Points

  • WACC is the weighted average of the costs of debt, preferred stock, and common equity.
  • Use market value weights, not book value weights.
  • Only the cost of debt is adjusted for taxes.
  • WACC is also referred to as the marginal cost of capital (MCC).
Cost of Debt and Preferred Stock5 min
The cost of debt (kd) is the rate at which a firm can issue new debt. It is typically estimated using the yield-to-maturity (YTM) of the firm's existing publicly traded debt. If the debt is not traded, the debt-rating approach (matrix pricing) is used, looking at yields of comparably rated bonds with similar maturities. The after-tax cost of debt is kd(1 - t). The cost of preferred stock (kps) is the preferred dividend divided by the preferred stock's market price (Dps / P). Preferred dividends are not tax-deductible.

Key Points

  • Cost of debt is the market rate (YTM) on new debt, not the coupon rate on existing debt.
  • After-tax cost of debt = kd(1 - t).
  • Cost of preferred stock = Preferred Dividend / Price.
  • No tax adjustment for preferred stock.
Cost of Equity Estimation5 min
The cost of equity (kce) is the return required by common shareholders. Unlike debt, there is no explicit cost, so it must be estimated. The Capital Asset Pricing Model (CAPM) estimates kce as the risk-free rate plus beta times the market risk premium [Rf + beta(Rm - Rf)]. The bond yield plus risk premium approach estimates kce by adding a risk premium (often 3-5 percent) to the yield on the firm's long-term debt. Analysts must use judgment as different models yield different results.

Key Points

  • Cost of equity is the opportunity cost of common funds.
  • CAPM Approach: E(Ri) = Rf + Beta * (Rm - Rf).
  • Bond Yield Plus Risk Premium: kce = Bond Yield + Risk Premium.
  • Retained earnings have an opportunity cost equal to the cost of equity.
Beta Estimation and Pure-Play Method5 min
Beta measures systematic risk. For public companies, it is estimated via regression of stock returns against market returns. For nonpublic or thinly traded companies, analysts use the pure-play method. This involves finding a comparable public company, calculating its unlevered beta (asset beta) to remove the effect of its leverage, and then relevering that asset beta using the target company's tax rate and debt-to-equity ratio. The levered beta reflects both business risk and financial risk.

Key Points

  • Unlevered Beta (Asset Beta) removes financial risk from the comparable company's beta.
  • Relevered Beta (Target Beta) adds financial risk based on the target's capital structure.
  • Asset Beta = Equity Beta / [1 + ((1 - t) * D/E)].
  • Target Equity Beta = Asset Beta * [1 + ((1 - t) * D/E)].
Flotation Costs5 min
Flotation costs are fees paid to investment banks for issuing new securities. The correct treatment in capital budgeting is to include flotation costs as an initial cash outflow (adding to the initial investment cost) when calculating Net Present Value (NPV). Incorrectly adjusting the cost of equity upward to account for flotation costs penalizes the project's cash flows for the duration of its life, rather than treating it as a one-time upfront cost.

Key Points

  • Flotation costs are one-time cash outflows at issuance.
  • Correct treatment: Add to initial project cost (reduce NPV directly).
  • Incorrect treatment: Adjust the WACC or cost of equity upward.
  • Adjusting WACC for flotation costs is theoretically flawed.

Questions

Question 1

The weighted average cost of capital (WACC) is best described as the:

View answer and explanation
Question 2

Which component of the WACC is typically adjusted for taxes?

View answer and explanation
Question 3

A company's target capital structure consists of 40 percent debt and 60 percent equity. The after-tax cost of debt is 5 percent, and the cost of equity is 12 percent. The WACC is closest to:

View answer and explanation
Question 4

When calculating WACC, the weights should be based on the:

View answer and explanation
Question 5

The cost of debt capital is best estimated by the:

View answer and explanation
Question 6

A firm has a pre-tax cost of debt of 8 percent and a marginal tax rate of 30 percent. The after-tax cost of debt is closest to:

View answer and explanation
Question 7

If a company's debt is not publicly traded, the analyst should most likely estimate the cost of debt using:

View answer and explanation
Question 8

The cost of preferred stock is equal to the preferred dividend divided by the:

View answer and explanation
Question 9

A company has preferred stock selling for 50 dollars per share that pays an annual dividend of 4 dollars. The cost of preferred stock is:

View answer and explanation
Question 10

When calculating the cost of preferred stock, an analyst should:

View answer and explanation
Question 11

The opportunity cost of equity capital is best described as the:

View answer and explanation
Question 12

Using the Capital Asset Pricing Model (CAPM), the cost of equity is calculated as:

View answer and explanation
Question 13

A stock has a beta of 1.2. The risk-free rate is 3 percent and the expected return on the market is 10 percent. The cost of equity using CAPM is closest to:

View answer and explanation
Question 14

Which approach calculates the cost of equity by adding a risk premium to the yield on the firm's long-term debt?

View answer and explanation
Question 15

If a company's before-tax cost of debt is 6 percent and the typical risk premium added is 4 percent, the estimated cost of equity using the bond yield plus risk premium approach is:

View answer and explanation
Question 16

A stock's beta is a measure of its:

View answer and explanation
Question 17

To estimate beta for a nonpublic company, an analyst should use the:

View answer and explanation
Question 18

In the pure-play method, the first step is to calculate the comparable company's:

View answer and explanation
Question 19

The formula to unlever a beta (calculate asset beta) is:

View answer and explanation
Question 20

A comparable company has an equity beta of 1.5, a debt-to-equity ratio of 0.5, and a tax rate of 30 percent. The asset beta is closest to:

View answer and explanation
Question 21

Once the asset beta is determined, the next step in estimating the beta for a target company is to:

View answer and explanation
Question 22

An asset beta of 1.2 needs to be relevered for a target company with a debt-to-equity ratio of 0.8 and a tax rate of 25 percent. The target equity beta is closest to:

View answer and explanation
Question 23

Flotation costs are fees paid to:

View answer and explanation
Question 24

The correct method to account for flotation costs in capital budgeting analysis is to:

View answer and explanation
Question 25

Adjusting the cost of equity to account for flotation costs is considered incorrect because:

View answer and explanation
Question 26

A project requires a 400,000 dollar equity investment. Flotation costs are 5 percent. The correct adjustment to the initial outlay is:

View answer and explanation
Question 27

Which of the following creates a tax shield for a company?

View answer and explanation
Question 28

If a firm uses its current WACC to evaluate a project that is riskier than the firm's average project, it will likely:

View answer and explanation
Question 29

The marginal cost of capital (MCC) generally:

View answer and explanation
Question 30

When calculating WACC, if the target capital structure is not explicitly known, an analyst may estimate weights using:

View answer and explanation
Question 31

In the CAPM, the market risk premium is defined as:

View answer and explanation
Question 32

A bond yield plus risk premium approach uses a risk premium that typically ranges from:

View answer and explanation
Question 33

The beta of a stock measures its:

View answer and explanation
Question 34

An analyst is calculating the WACC for a firm with 100 million EUR in debt trading at 95 percent of par and 200 million EUR in equity (market value). The total market value of the firm's capital is:

View answer and explanation
Question 35

If a firm has a beta of 0.8, a risk-free rate of 4 percent, and a market risk premium of 6 percent, the cost of equity is:

View answer and explanation
Question 36

Generally, the cost of equity is:

View answer and explanation
Question 37

When calculating the WACC, interest tax savings are:

View answer and explanation
Question 38

Matrix pricing is primarily used when:

View answer and explanation
Question 39

The unlevered beta represents the risk of the firm's:

View answer and explanation
Question 40

A stock's beta is estimated using a regression. The slope of the regression line represents:

View answer and explanation
Question 41

Adjusted beta refers to the tendency of betas to:

View answer and explanation
Question 42

Which of the following is NOT a component of the WACC calculation?

View answer and explanation
Question 43

If a company has a debt-to-equity ratio of 0.6, the weight of debt in the WACC calculation is:

View answer and explanation
Question 44

If flotation costs are treated correctly, the estimated NPV of a project will be:

View answer and explanation
Question 45

In the context of WACC, as the corporate tax rate increases, the cost of debt:

View answer and explanation
Question 46

The 'pure-play' company selected for beta estimation should be:

View answer and explanation
Question 47

If the risk-free rate increases, assuming all else holds constant, the cost of equity calculated using CAPM will:

View answer and explanation
Question 48

When using the dividend discount model (DDM) to estimate the cost of equity, the cost is equal to:

View answer and explanation
Question 49

A firm has a beta of 1.5. The market return is 12 percent and the risk-free rate is 2 percent. The firm's cost of equity is:

View answer and explanation
Question 50

The after-tax cost of debt is used in the WACC calculation because:

View answer and explanation