2. Wilson is now evaluating the expected performance of two common stocks, Furhm
ID: 2582747 • Letter: 2
Question
2. Wilson is now evaluating the expected performance of two common stocks, Furhman Labs Inc. and Garten Testing Inc. He has gathered the following information: · The risk-free rate is 5%. " The expected return on the market portfolio is 11.5%. The beta of Furhman stock is 1.5. . The beta of Garten stock is.8. on his own analysis, Wilson's forecasts of the returns on the two stocks are 13.25% for Fuh. man stock and 1 1.25% for Garten stock. Calculate the required rate of return for Furman Labs stock and for Garten Testing stock. Indicate whether each stock is undervalued, fairly valued, or overvaluedExplanation / Answer
Solution:
E(r) = rf + × [E(rM) rf]
E(r) = Required rate of return
rf = 5%
E(rM) = Expected Return on Market Poerfolio = 11.5%
of Furhman stock = 1.5
of Furhman stock = 0.8
Fuhrman Labs: E(r) = 5 + 1.5 × [11.5 5.0] = 14.75%
Garten Testing: E(r) = 5 + 0.8 × [11.5 5.0] = 10.20%
Please Note that if the forecast rate of return is less than (greater than) the required rate of return, then the security is overvalued (undervalued).
Fuhrman Labs: Forecast return – Required return = 13.25% 14.75% = 1.50%
Garten Testing: Forecast return – Required return = 11.25% 10.20% = 1.05%
Therefore, Fuhrman Labs is overvalued and Garten Testing is undervalued.
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