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% |
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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