2. 4. The cost of Capital: Cost of Retained Earnings The cost of Capital: Cost of Retained Earnings The cost of common equity is based on the rate of return that investors require on the company's common stock New common equity is raised in two ways: (1) by retaining some of the current year's earnings and (2) by issuing new common stock. Equity raised by issuing stock has a[n) Seladost, , than equity raised from retained earnings, fs, due to flotation costs required to sell new common stock. Some argue that retained earnings should be "Free" because they represent money that is left over after dividends are paid. While it is true that no direct costs are associated with retained earings, this capital still has a cost, ain) Stycost. The firm's after tax earnings belong to its stockholders, and these earnings serve to compensate them for the use of their capital. The earnings can either be paid out in the form of dividends to stockholders who could have invested this money in alternative investments or retained for reinvestment in the firm. Therefore, the firm needs to earn at least as much on any camins retained as the stockholders could earn on alternative investments of comparable risk. !! the firm cannot invest retained earnings to earn at least it should pay those funds to its stockholders and let them invest directly in stocks or other assets that will provide that retum. There are three procedures that can be used to estimate the cost of retained earnings: the Capital Raset Pricing Model (CAPM), the Bond Yield-Plus Risk Premium approach, and the Discounted Cash Flow (DCF) approach CAN The firm's cost of retained earnings can be estimated using the CAPM equation as follows: Pers. (RPJbre () The CAPM estimate of is equal to the risk free rate, fer, plus a risk premium that is equal to the risk premium on an average stock, f), scaled up or down to reflect the particular stock's risk as measured by its beta coefficient. This model assumes that a firm's stockholders are Select diversified, but if they are Select diversified, then the firm's true investment risk would not be measured by Select and the CAPM estimate would say the correct value of Bond Yield Mus Risk Premium of reliable inputs for the CAPM are not available as would be true for a dosely held company, analysts often use a subjective procedure to estimate the cost of equity. Empirical studies suggest that the risk premium on a firm's stock over its own bonds generally ranges from 3 to 5 percentage points. The equation is shown as: fe-Band yield Risk premium. Note that this is premium is Select the risk premium given in the CAPM. This method doesn't produce a precise cost of equity, but does provide a ballpark estimate. The DCs accroach for estimate the cost of retained earnings, is given as follows: T = =+ Expertel Investors expect to receive a dividend yield, plus a capital gain, for a total expected return. In Select this expected return is also equal to the required return. It's easy to calculate the dividend yield; but because stock prices fuctuate, the yield varies from day to day, which leads to fluctuations in the DCF cost of equity. Also, it is difficult to determine the proper growth especially past growth rates are not expected to continue in the future. However, we can use growth rates as projected by security analysts, who regularly forecast growth rates of eamings and dividends. Which method should be used to estimate ? management has confidence in one method, it would probably use that method's estimate. Otherwise, it might use some weighted average of the three methods. Judgment is important and comes into play here, as is true for most decisions in finance. Quantitative Problem: Barton Industries estimates is cost of common equity by using three approachesthe CAPM, the bond yield-plus-risk premium approach, and the Dos model Barton expects next year's annual dividend, Ds, to be $2.20 and it expects dividends to grow at a constant rate - 52%. The firm's current common stock price, P, is $21.00. The current risk free rate, s-4.4%; the market risk premium, RP. - 5.7%, and the firm's stock has a current beta, b. - 1. Assume that the firm's cost of debt, s, is 9.19%. The firm uses a 2.7% risk premium when arriving at a ballpark estimate of its cost of equity using the band yield.plus-risk premium approach. What is the firm's cost of equity using each of these three approaches? Round your answers to 2 decimal places CAP cost of equky Bond yield plus risk premium DC cost of equity What is your best estimate of the firm's cost of equity? Select 2. 4. The cost of Capital: Cost of Retained Earnings The cost of Capital: Cost of Retained Earnings The cost of common equity is based on the rate of return that investors require on the company's common stock New common equity is raised in two ways: (1) by retaining some of the current year's earnings and (2) by issuing new common stock. Equity raised by issuing stock has a[n) Seladost, , than equity raised from retained earnings, fs, due to flotation costs required to sell new common stock. Some argue that retained earnings should be "Free" because they represent money that is left over after dividends are paid. While it is true that no direct costs are associated with retained earings, this capital still has a cost, ain) Stycost. The firm's after tax earnings belong to its stockholders, and these earnings serve to compensate them for the use of their capital. The earnings can either be paid out in the form of dividends to stockholders who could have invested this money in alternative investments or retained for reinvestment in the firm. Therefore, the firm needs to earn at least as much on any camins retained as the stockholders could earn on alternative investments of comparable risk. !! the firm cannot invest retained earnings to earn at least it should pay those funds to its stockholders and let them invest directly in stocks or other assets that will provide that retum. There are three procedures that can be used to estimate the cost of retained earnings: the Capital Raset Pricing Model (CAPM), the Bond Yield-Plus Risk Premium approach, and the Discounted Cash Flow (DCF) approach CAN The firm's cost of retained earnings can be estimated using the CAPM equation as follows: Pers. (RPJbre () The CAPM estimate of is equal to the risk free rate, fer, plus a risk premium that is equal to the risk premium on an average stock, f), scaled up or down to reflect the particular stock's risk as measured by its beta coefficient. This model assumes that a firm's stockholders are Select diversified, but if they are Select diversified, then the firm's true investment risk would not be measured by Select and the CAPM estimate would say the correct value of Bond Yield Mus Risk Premium of reliable inputs for the CAPM are not available as would be true for a dosely held company, analysts often use a subjective procedure to estimate the cost of equity. Empirical studies suggest that the risk premium on a firm's stock over its own bonds generally ranges from 3 to 5 percentage points. The equation is shown as: fe-Band yield Risk premium. Note that this is premium is Select the risk premium given in the CAPM. This method doesn't produce a precise cost of equity, but does provide a ballpark estimate. The DCs accroach for estimate the cost of retained earnings, is given as follows: T = =+ Expertel Investors expect to receive a dividend yield, plus a capital gain, for a total expected return. In Select this expected return is also equal to the required return. It's easy to calculate the dividend yield; but because stock prices fuctuate, the yield varies from day to day, which leads to fluctuations in the DCF cost of equity. Also, it is difficult to determine the proper growth especially past growth rates are not expected to continue in the future. However, we can use growth rates as projected by security analysts, who regularly forecast growth rates of eamings and dividends. Which method should be used to estimate ? management has confidence in one method, it would probably use that method's estimate. Otherwise, it might use some weighted average of the three methods. Judgment is important and comes into play here, as is true for most decisions in finance. Quantitative Problem: Barton Industries estimates is cost of common equity by using three approachesthe CAPM, the bond yield-plus-risk premium approach, and the Dos model Barton expects next year's annual dividend, Ds, to be $2.20 and it expects dividends to grow at a constant rate - 52%. The firm's current common stock price, P, is $21.00. The current risk free rate, s-4.4%; the market risk premium, RP. - 5.7%, and the firm's stock has a current beta, b. - 1. Assume that the firm's cost of debt, s, is 9.19%. The firm uses a 2.7% risk premium when arriving at a ballpark estimate of its cost of equity using the band yield.plus-risk premium approach. What is the firm's cost of equity using each of these three approaches? Round your answers to 2 decimal places CAP cost of equky Bond yield plus risk premium DC cost of equity What is your best estimate of the firm's cost of equity? Select