CFA Practice Question

CFA Practice Question

If an investor puts 70% of his funds in an asset that has a return of 12% and risk of 18%, and the remainder in an asset that generates a return of 6% and has a risk of 7%, given the correlation between the two investments is 0.61, what is the overall risk and return that the investor is exposed to?
A. 10.2% and 13.98% respectively.
B. 13.98% and 10.2% respectively.
C. 10.2% and 15.02% respectively.
Explanation: Care: question asks for risk first and then return!

Risk = (0.72 x 0.182 + 0.32 x 0.072 + 2 x 0.7 x 0.3 x 0.18 x 0.07 x 0.61)0.5 = 13.98%
Return =( 0.7 x 12) + (0.3 x 6) = 10.2%

User Contributed Comments 2

User Comment
jjhigdon Wow, so apparently if you actually read the question, you don't even need to go through the headache of calculating Std Dev...
cfastudypl True jjhigdon, that is why AN said Care.
Good luck everyone!
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