- CFA Exams
- CFA Level I Exam
- Study Session 18. Portfolio Management (1)
- Reading 52. Portfolio Risk and Return: Part I
- Subject 5. Portfolio Risk
CFA Practice Question
Security A has an expected return of 18% and a standard deviation of 40%. Securities B and C each have expected returns of 12% and standard deviations of 20%. If the correlation between the rates of return for A and B is 0.35, and for A and C is 0.85, then investors holding only A ______
A. who want to reduce risk would be better off adding B to their portfolios.
B. who want to reduce risk would be better off adding C to their portfolios.
C. would need to know the correlation between the rates of return for B and C to determine which security offers the best opportunity for risk reduction.
Explanation: Since B and C have the same expected return and standard deviation, the lower correlation of A and B will provide portfolios with superior opportunities to reduce risk.
User Contributed Comments 6
User | Comment |
---|---|
murli | Adding the assets with lower correlation will reduce the risk of portfolio. |
chuong | Lower coeffiriennt correlation -> lower covariance - > lower Portfolio variance |
Criticull | it's not negative, but something is better than nothing. |
MattNYC | In large portfolios one does not need not to know the correlation but the AVG. COV between securities, since Portfolio size > Corr = Avg. Cov. |
Mhmdjamal | same SD of both securities B&C,does it mean they perfectly correlated? |
Pusgkin94 | Why not C? |