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luda_lava [24]
3 years ago
14

Assume that IBM is expected to pay a total cash dividend of $5.60 next year and that dividends are expected to grow at a rate of

5% per year forever. Assuming annual dividend payments, what is the current market value of a share of IBM stock if the required return on IBM common stock is 10%?
Business
1 answer:
IceJOKER [234]3 years ago
6 0

Answer: $112

Explanation:

The following information can be gotten from the question:

Growth Rate = 5%

Dividend at end of year,D1 = 5.60

Required return, ke = 10%

Then, the current market value will be:

P0 = De/(ke-g)

= 5.60/(10% - 5%)

= 5.60 / 5%

= 5.60/0.05

= $112

Therefore, the current market value of a share of IBM stock is $112.

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Answer and Explanation:

Given:

Weighted average β = 1.15

Average return (r) = 12.4%

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Computation of Jensen's α :

Jensen's α = r - [Rf + β(Rm - Rf)]

Jensen's α = 12.4% - [1.2% + 1.15(10.2% - 1.2%)]

Jensen's α = 12.4% - [1.2% + 10.35%]

Jensen's α = 12.4% - 11.55%

Jensen's α = 0.85%

Computation of Treynor's index :

Treynor's index (Ratio) = (r - Rf) / β

Treynor's index (Ratio) = (12.4% - 1.2%) / 1.15

Treynor's index (Ratio) = 11.2% / 1.15

Treynor's index (Ratio) = 9.73913043%

Treynor's index (Ratio) = 9.74% (Approx)

Computation of Sharpe's index :

Sharpe's index (Ratio) = (r - Rf) / SD

Sharpe's index (Ratio) = (12.4% - 1.2%) / 16.2%

Sharpe's index (Ratio) = 11.2% / 16.2%

Sharpe's index (Ratio) = 0.69 13%

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