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1 A company has a book value of equity of $244 million, an expected ROCE of 15% and a cost of equity capital of 14

Finance Aug 30, 2020

1 A company has a book value of equity of $244 million, an expected ROCE of 15% and a cost of equity capital of 14.8%. What is the company's market value of equity if its dividend payout ratio is 80% and its long-run growth rate in residual earnings is 3% p.a.?

A company's book value per share is $6.49. What is the company's intrinsic price-to-book ratio (to two decimal places) if the present value of the next five year’s residual earnings is $1.26 per share and the present value of residual earnings beyond year five is $5.91 per share?

Expert Solution

Net income = Book value of Equity * ROCE

=244*15%

=36.6 million

Payout ratio = 80%

So Dividend = net income * payout ratio

=36.6 million *80%

=29.28 million

Growth rate in Dividends (g)= 3%

Cost of Equity (ke)=14.8%

D1= D0*(1-g)

=29.28*(1+3%)

=30.1584

Market value of Equity formula = D1/(ke-g)

=30.1584/(14.8%-3%)

=255.579661

So Market value of Equity is $255.579661 million

We see that the intrinsic price to book ratio is given as=(1.26+5.91)/6.49=1.10477658

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