Question #29
Reading: Reading 40 Analysis of Active Portfolio Management
PDF File: Reading 40 Analysis of Active Portfolio Management.pdf
Page: 13
Status: Incorrect
Correct Answer: A
Your Answer: B
Part of Context Group: Q28-29
Shared Context
Question
Of the three funds described in Exhibit 2, the most likely to be a closet index fund is:
Answer Choices:
A. Saltire
B. Dragon
C. Rose
Explanation
A closet index fund is a fund, which is presented as being actively managed but covertly
tracks the underlying benchmark index. It will achieve little active return and be exposed
to little active risk, will have a low information ratio, and will have a Sharpe ratio close to
the Sharpe ratio of the underlying benchmark. The Sharpe ratio is calculated as excess
return over the risk-free asset per unit of portfolio risk: (RP – RF) / σP. Sharpe ratios for
each fund's benchmark are calculated below (RB – RF) / σB:
Saltire: (5.80% – 2%) / (4.50%) = 0.84
Dragon: (11.56% – 2%) / (5.15%) = 1.86
Rose: (11.37% – 2%) / (11.14%) = 0.84
The Rose fund has the lowest information ratio of the three funds, and its Sharpe ratio
(0.85) is very close to that of its benchmark (0.84). It is therefore most likely to be a closet
index fund.