Question

The future earnings, dividends, and common stock price of Carpetto Technologies Inc. are expected to grow 7% per year. Carpetto's common stock currently sells for $23.00 per share; its last dividend was $2.00; and it will pay a $2.14 dividend at the end of the current year.
a) Using the DCF approach, what is its cost of common equity ?


b) If the firm's beta is 1.6, the risk-free rate is 9%, and the average return on the market is 13%, what will be the firm's cost of common equity using the CAPM approach ?


c) If the firm's bonds earn a return of 12%, 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.


d) If you have equal confidence in the inputs used for the three approaches, what is your estimate of Carpetto's cost of common equity ?

Answer 1

Answer:

Dividend growth rate (g) = 7% per year

Common Stock value (P0) = $23 per share

Dividend just paid (or) Last dividend (D0) = $2

Current year dividend to pay (D1) = $2.14

(a) Using the DCF approach, what is its cost of common equity?

Cost of Common Equity (R) = [D1 / P0] +g

Cost of Common Equity (R) = [$2.14 / $23] + 0.07

Cost of Common Equity (R) = 0.1630 (or) 16.30%

Cost of Common Equity (R) = 16.30%

(b) If the firm’s beta is 1.6, the risk-free rate is 9%, and the average return on the market is 13%, what will be the firm’s cost of common equity using the CAPM approach?

Beta = 1.6

Risk-free rate (Rf) = 9%

Return on the Market (RM) = 13%

Calculating Firm’s Cost of Common Equity using the CAPM approach:

According to CAPM approach:

Cost of common equity (RE) = [Rf + β (RM – Rf)]

Cost of common equity (RE) = [9% + 1.6 (13% - 9%)]

Cost of common equity (RE) = [9% + 1.6 (4%)]

Cost of common equity (RE) = [0.09 + 1.6 (0.04)]

Cost of common equity (RE) = 0.154 (or) 15.4%

Cost of common equity (RE) = 15.4%

(c) If the firm’s bonds earn a return of 12%, based on the bond-yield-plus-risk-premium approach, what will be rs?

rs= Bond rate + Risk premium

rs= 12% + 4%

rs= 16%

d. The two approaches bond-yield-plus-risk premium approach and CAPM both has lower cost of equity than the DCF method. The firm’s cost of equity estimated to be 15.9% which is the average of all the three methods.

Explanation: