Answer: Adviser B is the superior stock selector.
Explanation:
For the comparision between the two investment advisers, the Jenson's Alpha will be utilized.
Jenson's Alpha:
= Portfolio Actual Return - CAPM(Benchmark Portfolio Return)
T Bill Rate(Risk free rate) = 6%
Market return(E(Em) = 14%
Beta of Investment Adviser A = 1.5
Beta of Investment Adviser B = 1
For Adviser A:
CAPM = Risk free return + Beta ( E(Rm) - Risk free return)
CAPM(Benchmark Portfolio) = 6 + 1.5 (14-6)
= 6 + 12
= 18%
Actual Return = 19%
Jenson's Alpha = 19% - 18% = 1%
For Adviser B:
CAPM = Risk free return + Beta ( E(Rm) - Risk free return)
CAPM(Benchmark Portfolio) = 6 + 1(14-6) = 6 + 1(8) = 14%
Actual Return = 16%
Jenson's Alpha = 16% - 14% = 2%
Adviser B is a better selector because he has a larger alpha of 2% compared to Adviser A who has 1%.
T Bill Rate(Risk free rate) = 3%
Market return(E(Rm) = 15%
Beta of Investment Adviser A = 1.5
Beta of Investment Adviser B = 1
For Adviser A:
CAPM = Risk free return + Beta ( E(Rm) - Risk free return)
CAPM(Benchmark Portfolio) = 3 + 1.5 (15-3)
= 3 + 18
= 21%
Actual Return = 19%
Jenson's Alpha = 19% - 21% = -2%
For Adviser B:
CAPM = Risk free return + Beta ( E(Rm) - Risk free return)
CAPM(Benchmark Portfolio) = 3 + 1(15-3) = 3 + 1(12) = 15%
Actual Return = 16%
Jenson's Alpha = 16% - 15% = 1%
Given the changes, Adviser B is still the better selector because he has a larger alpha of 1% compared to Adviser A who has -2%.
