A stock has an expected return of 13.4 percent, the risk-free rate is 9 percent,
ID: 2715104 • Letter: A
Question
A stock has an expected return of 13.4 percent, the risk-free rate is 9 percent, and the market risk premium is 10 percent. What must the beta of this stock be? (Do not round intermediate calculations. Round your answer to 2 decimal places, e.g., 32.16.)
A stock has an expected return of 13.4 percent, the risk-free rate is 9 percent, and the market risk premium is 10 percent. What must the beta of this stock be? (Do not round intermediate calculations. Round your answer to 2 decimal places, e.g., 32.16.)
Explanation / Answer
CAPM:
Line or CAPM model is: Ri= Rf + Bi*(Rm-Rf) is the SML with slope (Rm-Rf) and intercept Rf with y axis as Ri and x axis as Bi.
where Ri= ith Security return=13.4%=.134
Rf =risk-free rate=9%=.09, Bi =Beta of ith security=? and Rm-Rf= market risk premium=10%=.10
Ri= Rf + Bi*(market risk premium)
.134= .09 + Bi*(.10)
=>Bi=(.134-.09)/.10
=>Bi=0.44 must the beta of this stock be.
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