In: Finance
A company currently pays a dividend of $2 per share (D0 = $2). It is estimated that the company's dividend will grow at a rate of 16% per year for the next 2 years, and then at a constant rate of 8% thereafter. The company's stock has a beta of 1.4, the risk-free rate is 7.5%, and the market risk premium is 3.5%. What is your estimate of the stock's current price? Do not round intermediate calculations. Round your answer to the nearest cent.c
Solution: | |||||||||
Expected rate of return or Cost of equity: | Risk free return + Beta (Market Risk Premium) | ||||||||
Expected rate of return or Cost of equity: | 0.075 + 1.4 * 0.035 | ||||||||
Expected rate of return or Cost of equity: | 0.124 | or 12.4% | |||||||
D0 = $ 2 | & Growth for 2 year is 16% | ||||||||
Hence, D1 = $2(1.16)= $ 2.32 & D2 = $2(1.16)^2 = $2.70 | |||||||||
Current Stock Price after 2 year : | Dividend (1+ Growth Rate) / (Cost of Capital - Growth Rate) | ||||||||
Current Stock Price after 2 year : | 2.70 (1+ 0.08) / (0.124 - 0.08) | ||||||||
Current Stock Price after 2 year : | 2.916 / 0.044 | ||||||||
Current Stock Price after 2 year : | $ 66.27 | ||||||||
Hence, current Stock price at Y0: | Current Stock Price after 2 year / (1+Cost of equity)^2 | ||||||||
current Stock price at Y0: | $ 66.27 / (1.124)^2 | ||||||||
current Stock price at Y0: | $ 52.45 | ||||||||
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