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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
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.?
2
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
1
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
2
We see that the intrinsic price to book ratio is given as=(1.26+5.91)/6.49=1.10477658
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