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Problem 9-11 Cost of Equity Radon Homes\' current EPS is $7.39. It was $3.61 5 y

ID: 2796352 • Letter: P

Question

Problem 9-11
Cost of Equity

Radon Homes' current EPS is $7.39. It was $3.61 5 years ago. The company pays out 55% of its earnings as dividends, and the stock sells for $30.

Calculate the historical growth rate in earnings. (Hint: This is a 5-year growth period.) Do not round intermediate calculations. Round your answer to two decimal places.
     %

Calculate the next expected dividend per share, D1. (Hint: D0 = 0.55($7.39) = $4.06.) Assume that the past growth rate will continue. Do not round intermediate calculations. Round your answer to the nearest cent.
$  

What is Radon's cost of equity, rs? Do not round intermediate calculations. Round your answer to two decimal places.
     %

Explanation / Answer

1.

Growth rate = [$7.39 / $3.61]1/5 - 1

= [2.04709]0.2 - 1

= 15.40%.

2.  

D0 = $4.06

D1 = $4.06 (1 + 15.40%)

= $4.67

3. Cost of equity = (D1 / Ke) + g

= ($4.67 / $30 ) + 0.1540

= 30.97%.

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