Question

In: Finance

You are analysing a share which has a beta of 1.28. The? risk-free rate is 4.6...

You are analysing a share which has a beta of 1.28. The? risk-free rate is 4.6 %and you estimate the market risk premium to be 7.9 %. If you expect the share to have a return of 10.4% over the next? year what is the expected return, should you buy? it? Why or why? not?

Solutions

Expert Solution

Solution:
Expected return of the stock 14.71%
NO, we should not buy this stock.
Working Notes:
using CAPM relation.
Ke= rf + (rm - rf ) Be
Ke= Expected return of the stock =???
rf= risk free rate = 4.6%
rm - rf = market risk premium = 7.9%
Be= beta of the stock= 1.28
Ke= rf + (rm - rf ) Be
Ke= 4.6% + 7.9% x 1.28
Ke= 4.6% + 10.112%
Ke= 14.712%
Expected return of the stock = 14.71%
Since, for beta = 1.28 , our expected return should be 14.71%, but as per our expectation the share to have a return of 10.4% over the next? year , which will be lower return for risk we will take if we buy the stock. As the expected return of stock as per its risk should be 14.71%, but we expect it will give only 10.4%, So we should not invest in this stock.
Please feel free to ask if anything about above solution in comment section of the question.

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