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National Home Rentals has a beta of 1

Finance Sep 04, 2020

National Home Rentals has a beta of 1.3, a stock price of $19, and recently paid an annual dividend of $0.94 a share. The dividend growth rate is 4.5%. The market has a 10.6% rate of return and a risk premium of 7.5%. What is the firm's cost of equity?

Expert Solution

Computation of the firm's cost of equity using dividend growth model:-

Cost of equity = (D1 / Current stock price) + Growth rate

= ($0.94*(1+4.5%) / $19) + 4.5%

= ($0.98 / $19) + 4.5%

= 5.17% + 4.5%

= 9.67%

 

Computation of the firm's cost of equity using CAPM:-

Risk free rate = Market return - Market risk premium

= 10.6% - 7.5%

= 3.1%

Cost of equity = Risk free rate + (Beta * Market risk premium)

= 3.1% + (1.3 * 7.5%)

= 3.1% + 9.75%

= 12.85%

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