Stock Y has a beta of 1.30 and an expected return of 14.9 percent. Stock Z has a beta of .95 and an expected return of 12.8 percent.
If the risk-free rate is 5.20 percent and the market risk premium is 7.70 percent, are these stocks overvalued or undervalued?

Stock Y is overvalued and Stock Z is undervalued.

Explanation:

The stock is fairly valued when the required rate of return on the stock is equal to its expected return. If the expected return on the stock is more than the required rate of return, the stock is undervalued and vice versa.

The required rate of return on the stock is calculated under the CAPM approach suing the following formula.

r = rRF + Beta * rpM

Where,

r of Stock Y = 0.052 + 1.3 * 0.077  =  0.1521 or 15.21%

The required rate of return of Stock Y (15.21%) is more than its expected rate (14.9%) which means the stock is overvalued.

r of Stock Z = 0.052 + 0.95 * 0.077 = 0.12515 or 12.515%

The required rate of return of Stock Z (12.515%) is less than its expected rate (12.8%) which means the stock is undervalued.

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