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Time-Weighted Returns

Question 1
Multiple Choice

The quarterly returns on a portfolio are as follows:

Quarter | 1 | 2 | 3 | 4

Return | 15% | –10% | 5% | –5%

The time-weighted rate of return of the portfolio is closest to:

Explanation

The time-weighted rate of return is calculated as the geometric mean of the holding period returns (HPRs):

(1 + r_{1})(1 + r_{2})(1 + r_{3})(1 + r_{4})-1

(1.15)(0.90)(1.05)(0.95)−1 = 1.0324−1 = 0.0324 = 3.24%

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