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The Francis Company is expected to pay a dividend of D1 = $1.25 per share at the end of the year, and that dividend is expected to grow at a constant rate of 6.00% per year in the future. The company's beta is 1.15, the market risk premium is 5.50%, and the risk-free rate is 4.00%. What is the company's current stock price? $28.90 $29.62 $30.36 $31.12 $31.90

Respuesta :

Answer:

current stock price = $28.90

so correct option is (a) $28.90

Explanation:

given data

dividend of D1 = $1.25

constant rate = 6.00%

beta = 1.15

market risk premium = 5.50%

risk-free rate = 4.00%

solution

first we get here Expected rate of return that is express as

Expected rate of return = Risk-free rate of return + Beta × (Market rate of return - Risk-free rate of return)   .................1

put here value and we get

Expected rate of return = 4% + 1.15 × 5.50%

Expected rate of return = 4% + 6.325%

Expected rate of return = 10.325%

so now we get current stock price

current stock price = Next year dividend ÷ (Required rate of return - growth rate)   .................2

put here value and we get

current stock price = $1.25 ÷ (10.325% - 6%)

current stock price = $1.25 ÷ 4.325%

current stock price = $28.90

so correct option is (a) $28.90