estimates of her quarterly performance returns using the Dietz approximation method, assuming…

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estimates of her quarterly performance returns using the Dietz approximation method, assuming…

For each of the last six quarters, Managers L and M have provided you with the total dollar value of the funds they manage, along with the quarterly contributions or withdrawals made by their clients. (Note: Contributions are indicated by positive numbers, withdrawals by negative numbers.)

MANAGER L MANAGER M
Quarter Total Funds
Under Management
Contributions/
Withdrawals
Total Funds
Under Management
Contributions/
Withdrawals
Initial $500,000 — $700,000 —
1 527,000 12,000 692,000 –35,000
2 530,000 7,500 663,000 –35,000
3 555,000 13,500 621,000 –35,000
4 580,000 6,500 612,000 –35,000
5 625,000 10,000 625,000 –35,000

For each manager, calculate:

a. her dollar-weighted return;

b. her time-weighted return; and

c. estimates of her quarterly performance returns using the Dietz approximation method, assuming contributions/withdrawals are made exactly halfway through the quarter.


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