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  1. The Cost of Capital: Some Preliminaries
    1. Required Return versus Cost of Capital The cost of capital is the cost of raising the funds necessary to finance an investment project; thus, it can be thought of as the minimum acceptable rate of return on that project, i.e., the required return (52.0K) . From a mathematical standpoint, the required return is the appropriate discount rate for use in computing the NPV of a project. What is the NPV of a project whose IRR just equals the cost of capital? CONCEPT CHECK
    2. Financial Policy and Cost of Capital The firm's financial policies -- i.e., the mix of debt and equity used -- will be taken as a given for the present discussion. However, regardless of the particular capital structure (KEY TERM) used, the overall cost of capital will be a mixture of the returns needed to compensate the firm's creditors and stockholders.
  2. The Cost of Equity (51.0K) The cost of equity is generally the most difficult figure to obtain, since it is not directly observable. Some managers and analysts obtain estimates from commercial sources.
    1. The Dividend Growth Model Approach (54.0K)
      • Implementing the Approach is accomplished by rearranging the variables of the constant growth valuation model from the chapter on equity valuation. The model indicates that, under certain condition, the current market price (P0) of a share of common stock is equal to D1/(R- g). What do the symbols R and g represent? Then, solving for R (which we now rename RE), we find that it is equal to D1/P0 + g. CONCEPT CHECK
      • Estimating g is generally done using as starting points either (1) historical growth rates, or (2) the earnings forecasts of professional security analysts.
      • Advantages and Disadvantages (52.0K) of the Approach are many -- on the upside, it's easy to obtain both historical estimates and analysts' estimates. On the other hand, however, the approach is useless for firms that don't pay dividends (at this writing Microsoft has yet to pay a dividend, for example), and even for firms that do, the estimation process is another form of forecasting, which is always difficult.
    2. The SML Approach (61.0K)
      • Implementing the Approach requires use of the CAPM, which means obtaining values for three variables: the risk-free rate (KEY TERM), the market risk premium (KEY TERM), and the appropriate beta coefficient (KEY TERM). The required return RE, is equal to Rf + bE X (RM - Rf).
      • Advantages and Disadvantages of the Approach (53.0K) This approach adjusts explicitly for risk (unlike the Dividend Growth Model approach), but requires that we estimate the market risk premium and the beta coefficient. (The latter is obtainable from many published sources, as well as on the Internet.)
  3. The Costs of Debt and Preferred Stock
    1. The Cost of Debt (53.0K) is the returncreditors demand in order to be willing to purchase new debt from the firm. Denoted RD, the cost of debt is actually the Yield-to-Maturity (KEY TERM) computed in an earlier chapter.
    2. The Cost of Preferred Stock (51.0K) is found using the following perpetuity model: RP = D/P0. We assume the dividend on preferred stock is constant and will continue forever.
  4. The Weighted Average Cost of Capital (52.0K)
    1. The Capital Structure Weights The total market value of the firm, V, is equal to the sum of the market value of the firm's outstanding debt, D, and the market value of its outstanding equity, E. In other word, V = D + E. Thus, the percentage of debt used equal D/V, and the percentage of equity used is E/V. D/V and E/V are the firm's capital structure weights (53.0K) .
    2. Taxes and the Weighted Average Cost of Capital (52.0K) Recall that in order to evaluate a project we begin by estimating its incremental, after-tax cash flows. Since we are discounting after-tax cash flows, it makes sense to do so with an after-tax cost of capital. Thus, we need to recognize the deductibility of interest paid by finding the after-tax cost of debt (which, of course, equals RD X (1 - TC). Thus, the WACC equals: (E/V) X RE + (D/V) X RDX (1 - TC). Key Concept: The WACC is the overall return the firm must earn on its existing assets to maintain the value of the stock.
    3. Solving the Warehouse Problem and Similar Capital Budgeting Problems
  5. Divisional and Project Costs of Capital (60.0K)
    1. The SML and the WACC Graphing expected return against risk, the SML is an upward-sloping line and the WACC is a horizontal line. Why? CONCEPT CHECK A firm that uses the WACC to evaluate all projects, regardless of their respective risks, will overvalue projects that are riskier than the firm and undervalue projects that are less risky than the firm.
    2. Divisional Cost of Capital Just as the required return of each project is a positive function of its risk, the required return of a division (i.e., the divisional cost of capital) is a positive function of the division's risk.
    3. The Pure Play Approach (51.0K) In order to obtain the appropriate discount rate when the returns on a project (or division) are not observable, we must use as a proxy (or "pure play") the required return on assets of similar risk whose discount rate is estimable.
    4. The Subjective Approach (52.0K) Because of the difficulty in establishing discount rates, many firms group projects into categories based on the level of uncertainty of their cash flows. Successively higher-risk categories are assigned higher discount rates relative to the firm WACC, and lower-risk categories are assigned lower discount rates.







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