You are the manager of the Mighty Fine mutual fund. The following table reflects

Question

You are the manager of the Mighty Fine mutual fund. The following table reflects the activity of the fund during the last quarter. The fund started the quarter on January 1 with a balance of $100 million. Mighty Fine Mutual Fund Monthly Data (measured at end of month) March 0 2.80 JanuaryFebruary Net inflows ($ million) HPR (%) 7.3 3.50 3.8 7.10 a. Calculate the quarterly arithmetic average return on the fund. (Round your answer to 2 decimal places.) Arithmetic average b. Calculate the quarterly geometric (time-weighted) average return on the fund. (Round your answer to 2 decimal places.) Geometric average c.Calculate the quarterly dollar-weighted average return on the fund. (Round your answer to 2 decimal places.) Dollar-weighted average return

Explanation / Answer

a) Airthmetic average return on the fund =

( -3.50 + 7.10 + 2.80) / 3

= 6.40/3

= 2.133

b) Geometric (Time weighted ) Average return on the fund =

= [ (1 + (-0.035)) * (1 + 0.071) * (1 + 0.028) ] 1/3 - 1

= 0.0204 or 2.04%

C) Dollar- weighted average return =

[7.30 - (-3.8)] / 7.3

=1.52

[ -3.8 - 0] / -3.8

= 0

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