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Stock Y has a beta of 1.2 and an expected return of 11.1 percent. Stock Z...

Stock Y has a beta of 1.2 and an expected return of 11.1 percent. Stock Z has a beta of .80 and an expected return of 7.85 percent. What would the risk-free rate have to be for the two stocks to be correctly priced? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

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Answer #1

As per CAPM, return on stock = Risk free return + beta*market risk premium

11.1% = Risk free return + 1.2*Market risk premium

7.85% = Risk free return + 0.80*Market risk premium

Subtracting Equation 2 from 1

3.25% = 0.4*market risk premium

Market risk premium = 8.125%

Hence, risk free rate = 11.1% - 1.2*8.125% = 1.35%

Hence, required risk free rate for two stocks to be correctly priced = 1.35%

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