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$1,000 is invested in a fund at the beginning of the year. The fund rate of return is 8% for the first half of the
$1,000 is invested in a fund at the beginning of the year. The fund rate of return is 8% for the first half of the year, and 10% for the second half. You are given the following methods of determining return, given the indicated transactions:
Scenario | Return Measure | Midyear Transaction |
I | Dollar-weighted | $500 deposit |
II | Dollar-weighted | $500 withdrawal |
III | Time-weighted | $500 deposit |
IV | Time-weighted | $500 withdrawal |
Rank the rates of returns under these scenarios.
A. I < II = IV < III
B. II < III = IV < I
C. III < I = II < IV
D. IV < I = II < III
E. None of these answers is correct.
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