A stock has a beta of 0.7 and an expected return of 11.1 percent. If the risk-free rate is 4.7 percent, what is the market risk premium? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)
Market Risk Premium = 13.84%
Explanation;
As per information of the question, following information are given;
Expected return is given = 11.1%
Risk free rate is given = 4.7%
Beta is given = 0.7
Formula of required return for the overall stock market is as follow;
Expected return =
Risk free rate + (Market risk premium – Risk free rate) * Beta
Now, let’s put the values in above given formula;
Required return for the overall stock market =
11.1% = 4.7% + (Market risk premium – 4.7%) * 0.7
11.1% = 4.7% + (0.7 Market risk premium – 3.29%)
0.7 Market risk premium = 9.69%
Market risk premium = 9.69% / 0.7
Market risk premium = 13.84%
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