The future earnings, dividends, and common stock price of Callahan Technologies Inc. are expected to grow 8% per year. Callahan's common stock currently sells for $25.25 per share; its last dividend was $1.50; and it will pay a $1.62 dividend at the end of the current year. 1. Using the DCF approach, what is its cost of common equity?
2. If the firm's beta is 0.80, the risk-free rate is 3%, and the average return on the market is 14%, what will be the firm's cost of common equity using the CAPM approach?
3. If the firm's bonds earn a return of 12%, based on the bond-yield-plus-risk-premium approach, what will be rs?
4. If you have equal confidence in the inputs used for the three approaches, what is your estimate of Callahan's cost of common equity?

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Explanation:

1.

Based on the dividend discount model, the share price is the present value of the expected dividend as shown by the formula below:

share price=expected dividend/(cost of equity-growth rate)

share price=$25.25

expected dividend=$1.62

cost of equity=unknown(let us assume it is K)

growth rate=8%

$25.25=$1.62/K-8%

$25.25*(K-8%)=$1.62

K-8%=($1.62/$25.25)

K=($1.62/$25.25)+8%

K=14.42%

2.

Using the Capital Asset Pricing Model, the formula for cost of equity is as shown thus:

cost of equity=risk-free rate+beta*(market return-risk-free rate)

risk-free rate=3%

beta=0.80

,market return=14%

cost of equity=3%+0.80*(14%-3%)

cost of equity=11.80%

3.

cost of equity=cost of debt+risk premium

cost of debt=12%

risk premium=market return-risk-free rate=14%-3%=11%

cost of equity=12%+11%=23%

If all of the figures are of equal confidence, our cost of equity should be the average of the three

cost of equity=(14.42%+11.80%+23%)/3=16.41%