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Cost of Common Equity The future earnings, dividends, and common stock price of

ID: 2777443 • Letter: C

Question

Cost of Common Equity

The future earnings, dividends, and common stock price of Carpetto Technologies Inc. are expected to grow 8% per year. Carpetto's common stock currently sells for $28.00 per share; its last dividend was $2.50; and it will pay a $2.70 dividend at the end of the current year.

Using the DCF approach, what is its cost of common equity? Round your answer to two decimal places.
%

If the firm's beta is 1.00, the risk-free rate is 8%, and the average return on the market is 14%, what will be the firm's cost of common equity using the CAPM approach? Round your answer to two decimal places.
%

If the firm's bonds earn a return of 10%, based on the bond-yield-plus-risk-premium approach, what will be rs? Use the midpoint of the risk premium range discussed in Section 10-5 in your calculations. Round your answer to two decimal places.
%

If you have equal confidence in the inputs used for the three approaches, what is your estimate of Carpetto's cost of common equity? Round your answer to two decimal places.

Explanation / Answer

a) As per Question below are given,

Growth Rate (r) = 8%

Last Dividend Paid (D0) = $2.50

Current Dividend (D1) = $2.70

Price of Stock = $28.00

Now, As per DCF,

Cost of equity = ( Dividend1 / Price of stock ) + Growth rate

= ( 2.70 / 28) + 8

= 8.1 %

b) Risk free rate = 8%, expected market return rate = 14 %

As per CAPM,

Rate = Risk free rate + Beta x( expected market return – risk free rate)

Rate = 8 + 1 x (14 – 8)

Rate = 14%

c)

Risk premium = Dividend yield + earning growth – long term bond yield

                                = 8 + 8 – 10 = 6%

As per bond-yield-plus-risk-premium approach,

Cost of equity = Long term bond yield + Risk premium

                                = 10 + 6 = 16 %

(If risk premium is already given in section 10-5, use that one)