An analyst gathers the following information ($ millions) about the performance of a portfolio:
Quarter
Value at Beginning
of Quarter
(prior to inflow or outflow)
Cash Inflow (Outflow)
At Beginning of Quarter
Value at End
of Quarter
1
2.0
0.2
2.4
2
2.4
0.4
2.6
3
2.6
(0.2)
3.2
4
3.2
1.0
4.1
The portfolio’s annual time-weighted rate of return (%) is closest to:
A. 8.
B. 27.
C. 32.
Answer: C
In this case, the quarterly holding periods are 2.4/2.2 = 1.0909, 2.6/2.8 = 0.9286, 3.2/2.4 = 1.3333, and 4.1/4.2 = 0.9762. The time-weighted return is thus (1.0909 × 0.9286 × 1.3333 × 0.9762) - 1 = 1.3185 – 1 = 0.3185 or 31.85%.
Can anyone explain to me how they got 4.1/4.2?
Quarter
Value at Beginning
of Quarter
(prior to inflow or outflow)
Cash Inflow (Outflow)
At Beginning of Quarter
Value at End
of Quarter
1
2.0
0.2
2.4
2
2.4
0.4
2.6
3
2.6
(0.2)
3.2
4
3.2
1.0
4.1
The portfolio’s annual time-weighted rate of return (%) is closest to:
A. 8.
B. 27.
C. 32.
Answer: C
In this case, the quarterly holding periods are 2.4/2.2 = 1.0909, 2.6/2.8 = 0.9286, 3.2/2.4 = 1.3333, and 4.1/4.2 = 0.9762. The time-weighted return is thus (1.0909 × 0.9286 × 1.3333 × 0.9762) - 1 = 1.3185 – 1 = 0.3185 or 31.85%.
Can anyone explain to me how they got 4.1/4.2?