If the book value per share is $40 and the market price is 52.50 per share calculate the required rate of return on the stock.

0.11 or 11%

Explanation:

The computation of the required rate of return is given below:

Required Rate of Return is

= Next Year Dividend ÷ Current Market Price + Growth Rate

= $3.15 ÷ $52.50 + 0.05

= 0.06 + 0.05

= 0.11 or 11%

working note

Given that

Current Market Price = $52.50

As we know that  

Growth Rate = Return on Equity × Retained Earning Ratio

Now  

Return on Equity = EPS ÷ Book Value of Share

= $5 ÷ 40

= 12.50%

So,  

Retained Earning Ratio is

= 1 - Dividend Payout Ratio

= 1 - 0.60

= 0.40

And,

Dividend Payout Ratio = DPS ÷ EPS

= $3 ÷ $5

= 0.60

Now

Growth Rate = 12.50% × 0.40

= 5%

So,

Next Year Dividend = Dividend Recently paid × (1 + growth rate )

= $3 × 1.05

= $3.15

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