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Constant Dividend Growth Valuation Crisp Cookware's common stock is expected to pay a dividend of $3...

Constant Dividend Growth Valuation

Crisp Cookware's common stock is expected to pay a dividend of $3 a share at the end of this year (D1 = $3.00); its beta is 0.9. The risk-free rate is 2.6% and the market risk premium is 5%. The dividend is expected to grow at some constant rate, gL, and the stock currently sells for $80 a share. Assuming the market is in equilibrium, what does the market believe will be the stock's price at the end of 3 years (i.e., what is )? Do not round intermediate calculations. Round your answer to the nearest cent

Solutions

Expert Solution

Solution:
Expected rate of return or Cost of equity: Risk free return + Beta (Market Risk Premium)
Expected rate of return or Cost of equity: 0.026 + 0.9 * 0.05
Expected rate of return or Cost of equity: 0.071 or 7.10%
Current Stock Price : Expected Dividend / (Cost of Capital - Growth Rate)
$ 80 : $ 3 /( 0.071-Growth Rate)
Growth Rate: 0.0335 or 3.35%
Hence, Stock price at the end of 3 year: Current Price * (1 + Growth Rate)^3
Hence, Stock price at the end of 3 year: $ 80 * (1 + 0335)^3
Hence, Stock price at the end of 3 year: $ 80 * (1 + 0335)^3
Hence, Stock price at the end of 3 year: $ 88.32

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