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Security X has an expected rate of return of 21% and a beta of 1.85. The...

Security X has an expected rate of return of 21% and a beta of 1.85. The risk-free rate is 3%, and the market expected rate of return is 12%. According to the capital asset pricing model, security X is _________.

A. overpriced
B. none of these answers
C. underpriced
D. fairly priced
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Answer #1

According to CAPM, Required rate of return = Rf + beta(Rm-Rf)

Rf = 3%, Rm= 12%, beta = 1.85, expected return = 21%

Required rate of return = Rf + beta(Rm-Rf) = 3% + 1.85(12%-3%) = 19.65%

As expected return (21%) > required rate of return (19.65%), stock is undervalued/underpriced.

Answer : c : underpriced

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