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Data for Hugh’s Corporation is provided below. Hugh’s recently acquired some risky assets that caused its beta to increase by 30%. What is the stock's new expected rate of return according to the CAPM? Initial beta 1.00 Initial expected return (rs) 10.20% Market risk premium, E(Rm – Rrf) 6.00% Percentage increase in beta 30.00% Increase in inflation premium 2.00%

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Answer:

The stock's new expected rate of return is 14%

Explanation:

Ke=Rf+beta(Mrp-Rf)

Ke is the cost of capital is 10.20%

Rf i the risk free rate which is unknown

beta is 1.00

(Mrp-Rf) is the market risk premium at 6%

10.20%=Rf+1.0(6%)

10.20%=Rf+6.0%

Rf=10.20-6.00%

Rf=4.20%

Beta for the risky asset is 1.00*130%=1.3

New risk rate is the old rate plus inflation rate of 2.00%

new risk free=4.2%+2%=6.2%

The expected return on the new asset is computed thus:

Ke=6.2%+1.3(6%)

Ke=6.2%+7.8%

Ke=14%