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29 April, 21:25

Fowler, Inc., just paid a dividend of $2.75 per share on its stock. The dividends are expected to grow at a constant rate of 6.5 percent per year, indefinitely. Assume investors require a return of 11 percent on this stock.

a. What is the current price? (Do not round intermediate calculations and round your answer to 2 decimal places, e. g., 32.16.)

b. What will the price be in three years and in fifteen years? (Do not round intermediate calculations and round your answers to 2 decimal places, e. g., 32.16.)

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  1. 30 April, 00:00
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    Stock price now is $65.08

    Stock price in 3 years is $78.61

    Stock price in 15 years is $ 167.38

    Explanation:

    The current price of the stock is given by the stock price formula below:

    stock price=Di * (1+g) / k-g

    Di is the dividend just paid of $2.75 per share.

    g is the growth rate of dividend of 6.5%

    k is the investors' expected return of 11%

    stock price=$2.75 * (1+6.5%) / (11%-6.5%) = $ 65.08

    In calculating stock price in 3 and 15 years, we use the future value formula

    FV=PV * (1+r) ^n

    PV is the current price

    r is the growth rate whereas the n is the number of years

    Stock in 3 years=$65.08 * (1+6.5%) ^3=$78.61

    Stock in 15 years=$65.08 * (1+6.5%) ^15=$ 167.38
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