Question

In: Finance

A stock has an expected return of 0.08, its beta is 1.5, and the expected return...

A stock has an expected return of 0.08, its beta is 1.5, and the expected return on the market is 0.1. What must the risk-free rate be? (Hint: Use CAPM) Enter the answer in 4 decimals e.g. 0.0123.

Solutions

Expert Solution

Expected return = Risk-free rate + Beta(Market return - Risk-free rate)

0.08 = Risk-free rate + 1.5(0.1 - Risk-free rate)

0.08 = Risk-free rate + 0.15 - 1.5Risk-free rate

1.5Risk-free rate - Risk-free rate = 0.15 - 0.08

0.5Risk-free rate = 0.07

Risk-free rate = 0.07 / 0.5

Risk-free rate = 0.1400


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