Answer:
a) Expected Return for Rocket Inc. = 27.7 %
b) Expected Return for Farmer's Corp. = 9.5 %
c) The Stock performed better once you take risk into account = Rocket Inc.
Explanation:
Given - Last year, Rocket Inc. earned a 19 % return. Farmer's Corp. earned 12 %. The overall market return last year was 16 %, and the risk-free rate was 3 %. If Rocket stock has a beta of 1.9 and Farmer's has a beta of 0.5.
To find - (a) Rocket's expected return is ... ?
(b) Farmer's expected return is ... ?
(c) Which stock performed better once you take risk into account ?
Solution -
The formula for Expected return is -
Expected Return = Risk-free rate + Systematic Risk ( Market Return - Risk-free rate )
a)
Now,
For Rocket Inc. -
Expected Return = 3% + 1.9 ( 16% - 3% )
= 3% + 1.9 (13 %)
= 3% + 24.7 %
= 27.7 %
⇒Expected Return for Rocket Inc. = 27.7 %
b)
For Farmer's Corp. -
Expected Return = 3% + 0.5 ( 16% - 3% )
= 3% + 0.5 (13 %)
= 3% + 6.5 %
= 9.5 %
⇒Expected Return for Farmer's Corp. = 9.5 %
c)
Now,
Given that,
Actual Return of Rocket Inc. = 19 %
Expected Return of Rocket Inc. = 27.7 %
⇒ Performance is better
Now,
Actual Return of Farmer's Corp. = 12 %
Expected Return of Farmer's Corp. = 9.5 %
⇒ Performance is worst
∴ we get
The Stock performed better once you take risk into account = Rocket Inc.
