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A c ompany A company\'s common stock is selling for $16. The stock just paid a d

ID: 2702902 • Letter: A

Question

A company

A company's common stock is selling for $16. The stock just paid a dividend (D0) of $.60 and this dividend is expected to grow by 15% per year for three years. After that it will grow at a constant rate of 4%. The stock's beta is 1.7, the risk-free rate of interest is 1.75% and the market risk premium is 5.25%. According to the DCF model, what is the intrinsic value of the stock today? Given the current stock price today (P0 = $16), should you buy the stock and briefly explain why or why not?

Explanation / Answer

Rrf = Risk-free rate

Rm = Market risk premium

Required Rate ( R ) = Rrf + B(Rm)

R = 1.75 + 1.7(5.25)

R = 1.75 + 8.925

R = 10.675 (I/Y for NPV)

D0 = .60 (not used when calculating NPV in calculator)

D1 = .60 x 1.15 = .6900

D2 = .69 x 1.15 = .7935

D3 = .7935 x 1.15 = .9125

D4 = .9125 x 1.04 = .9490

P3 = .9490 / (10.675