Question

Data for Hugh’s Corporation is provided below. Hugh’s recently acquired some risky assets that caused its...

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%

Homework Answers

Answer #1

Before Acquisition of Risky Assets:

Old Beta = 1.00
Old Expected Return = 10.20%
Market Risk Premium = 6.00%

Old Expected Return = Old Risk-free Rate + Old Beta * Market Risk Premium
10.20% = Old Risk-free Rate + 1.00 * 6.00%
4.20% = Old Risk-free Rate

After Acquisition of Risky Assets:

Increase in Beta = 30.00%
Increase in Inflation Premium = 2.00%

New Beta = Old Beta * (1 + Increase in Beta)
New Beta = 1.00 * 1.30
New Beta = 1.30

New Risk-free Rate = Old Risk-free Rate + Increase in Inflation Premium
New Risk-free Rate = 4.20% + 2.00%
New Risk-free Rate = 6.20%

New Expected Return = New Risk-free Rate + New Beta * Market Risk Premium
New Expected Return = 6.20% + 1.30 * 6.00%
New Expected Return = 14.00%

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