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The earnings, dividends, and common stock price of SYX Inc. are expected to grow

ID: 2653158 • Letter: T

Question

The earnings, dividends, and common stock price of SYX Inc. are expected to grow at 5% per year in the future. SYX's common stock sells for $21.75 per share, its last dividend was $1.60, and the company will pay a dividend of $1.68 at the end of the current year.

A) Using the discounted cash flow approach, what is its cost of equity? Round your answer to two decimal places.

B) If the firm's beta is 1.4, the risk-free rate is 7%, and the expected return on the market is 14%, then what would be the firm's cost of equity based on the CAPM approach? Round your answer to two decimal places.

C) If the firm's bonds earn a return of 10%, and analysts estimate the market risk premium is 3 to 5 percent, then what would be your estimate of rs using the over-own-bond-yield-plus-judgmental-risk-premium approach? Round your answer to two decimal places. (Hint: Use the midpoint of the risk premium range).

D) On the basis of the results of parts a through c, what would be your estimate of SYX's cost of equity? Assume SYX values each approach equally. Round your answer to two decimal places.

Explanation / Answer

a).

Stock Price = $21.75

Last Dividend per share = $1.60

Next Dividend per share = $1.68

Growth Rate of Dividends = 5.00%

The cost of equity is the return shareholders expect from the company. It is calculated as:

Cost of Equity= (Next Dividend per share/Stock Price) + Growth rate of dividends

Cost of Equity= (1.68 / 21.75)+5.00%

Cost of Equity= 12.72%

b).

Firm's Beta = 1.4

Risk-free rate = 7.00%

Expected market return = 14.00%

Cost of Equity= Risk free rate + Beta x (Expected market return - Risk free rate)

Cost of Equity= 7.00% + 1.4 x (14.00% - 7.00%)

Cost of Equity= 16.80%

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