QUESTION
The earnings, dividends, and common stock price of CarpettoTechnologies Inc. are expected to grow at 11 percent per year inthe future. Carpettos common stock sells for $23 per share itslast dividend was $2.00, and it will pay a dividend of $2.14 at theend of the current year.a) Using the DCF approa
Current Price of theStock (P 0 ) = $23 Dividend just paid (D 0 ) =$2 Expected Dividend(D 1 ) =$2.14 Dividend growth rate (g) =11% ( a) CalculatingCost of Common Equity (R E ) using DCFapproach : P 0 = D 1 / (R g) R = (D 1 / P 0 ) g R = ($2.14 / $23) 0.11 R = 0.093 0.11 R = 0.20 (or) 20% Cost of Common Equity(R E ) = 20% Risk-free rate(R f ) = 9% Stock Beta() = 1.6 Average return on the Market(R M ) = 13% (b) Calculating Cost ofCommon equity using CAPM approach: R E = R
f (R M -R f )) R E = 9% 1.6 *(13% 9%) R E = 0.09 1.6* (0.13 0.09) R E = 0.09 1.6* 0.04 R E = 0.09 0.064 R E = 0.154 (or)15.4% Cost of Commonequity (R E ) = 0.154 (or)15.4% ( c) Bond Yield =12% Risk Premium =(R M R f ) Risk Premium = (13% -9%) Risk Premium =4% r s =Bond yield Risk premium r s = 12% 4% r s =16%
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