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You are considering the purchase of a stock that just paid a dividend of $3

Finance Dec 08, 2020

You are considering the purchase of a stock that just paid a dividend of $3. Its dividends are expected to grow at 4% in perpetuity. 

The stock has a beta of 1.3, the risk-free rate is 3% and the return on an average stock in the market is 9%.

a) What is the required return on this stock?

b) What should you pay for a share of this stock?

c) What is the capital gains yield on this stock?

 d) What is the dividend yield on this stock?

Expert Solution

a) Required return on stock = 10.80%

b) Share price of stock = $45.88

c) Capital gains yield = 4%

d) Dividend yield = 6.80%

You can calculate the capital gains yield by this formula:-

Capital gains yield = (P1 - P0) / P0

Here,

P1 = P0*(1+Growth rate)

= $45.88 * (1 + 4%)

= $47.72

Capital gains yield = ($47.72 - $45.88) / $45.88

= $1.84 / $45.88

= 4%

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