- CFA Exams
- CFA Level I Exam
- Topic 9. Portfolio Management
- Learning Module 38. Analysis of Active Portfolio Management
- Subject 1. Active Management and Value Added
CFA Practice Question
Continue with the previous question. Consider the following benchmark and managed portfolio. What is the value added for the managed portfolio?
B. 0.58%
C. 0.75%
A. 0.45%
B. 0.58%
C. 0.75%
Correct Answer: A
The return on the managed portfolio: 0.75 x 12% + 0.25 x 3% = 9.75%
The return on the benchmark: 0.70 x 12% + 0.3 x 3% = 9.3%
RA = 9.75% - 9.3% = 0.45%
RA = ΣΔwiRi = 0.05 x 12% + (-0.05) x 3% = 0.45%
Portfolio benchmark return = 0.7 x 12% + 0.3 x 3% = 9.3%
RA = ΣΔwiRAi = 0.05 x (12% - 9.3%) - 0.05 x (9.3% - 3%) = 0.45%
Approach 1:
The return on the managed portfolio: 0.75 x 12% + 0.25 x 3% = 9.75%
The return on the benchmark: 0.70 x 12% + 0.3 x 3% = 9.3%
RA = 9.75% - 9.3% = 0.45%
Approach 2:
RA = ΣΔwiRi = 0.05 x 12% + (-0.05) x 3% = 0.45%
Approach 3:
Portfolio benchmark return = 0.7 x 12% + 0.3 x 3% = 9.3%
RA = ΣΔwiRAi = 0.05 x (12% - 9.3%) - 0.05 x (9.3% - 3%) = 0.45%
User Contributed Comments 1
User | Comment |
---|---|
challenge11 | Approach 3 correction: RA = 0.05 * (12%-9.3%) - 0.05 (3%-9.3%) = 0.45% |