Question #13

Reading: Reading 40 Analysis of Active Portfolio Management

PDF File: Reading 40 Analysis of Active Portfolio Management.pdf

Page: 6

Status: Correct

Correct Answer: A

Part of Context Group: Q13-14 First in Group
Shared Context
- If the FTSE 100 and Crystal fund are combined in an optimal portfolio, what proportion should be invested in Crystal? A) 136%. B) 146%. C) 156%.
Question
How many of Radichkova's comments are correct in relation to the two-sector portfolio?
Answer Choices:
A. One
B. Both
C. None
Explanation
σA = σB IR SRB σA = 0.15 = 0.242 0.806 0.5 Both comments are correct. The return of the portfolio is 70% × 17.8 + 30% × 6.3% = 14.35%. The return of the benchmark is 50% × 9.2% + 50% × 8.1% = 8.65%. Value added = 14.35 – 8.65 = 5.7%. Return from asset allocation is (70% – 50%) × 9.2% + (30% – 50%) × 8.1% = 0.22% (i.e., active weights times benchmark returns). This implies that return from stock selection is 5.7 – 0.22 = 5.48%. Let us check that: 70% × (17.8% – 9.2%) + 30% × (6.3% – 8.1%) = 5.48% (i.e., portfolio weights times active returns).
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