Reference no: EM132584797
In a recent closely contested lawsuit, Apex sued Bpex for patent infringement. The jury came back today with its decision. The rate of return on Apex was rA = 3:1%. The rate of return on Bpex was only rB = 2:5%. The market today responded to very encouraging news about the unemployment rate, and rM = 3%. The historical relationship between returns on these stocks and the market portfolio has been estimated from index model regressions as:
Apex : rA = 0.2% + 1.4*rM
Bpex : rB = -0.1% + 0.6*rM
On the basis of these data, which company do you think won the lawsuit?
ANSWER(?)
Given
rA = 3.1%
rB = 2.5%
rM = 3.0%
Calculations
Apex
Fair expected return = 0.2 + 1.4*3% = 4.40%
Alpha (A) = Actual Return - Fair Expected Return = 3.1% - 4.4% = -1.3%
Alpha is negative = The actual return is underperforming the fair expectation
Bpex
Fair expected return = -0.1% + 0.6*3% = 1.70%
Alpha (B) = 2.5% - 1.7% = 0.8%
Alpha is positive = The actual return is outperforming the fair expectation
Conclusion
Bpex won the lawsuit.
KEY QUESTION
Please explain why you can conclude that Bpex won the lawsuit based on the above.