You are the manager of the Mighty Fine mutual fund. The following informatioj reflects the activity of the fund during the last quarter. The fund started the quarter on January $1$ with a balance of $$80$ million and will be liquidated at the end of March. January:

Assets under management at beginning of month $($million$)$: $80$Investment profits during the month $($HPR x Assets$)$: $-0\mathrm{.}24$

Net inflows during the month: $6\mathrm{.}7$Assets under management at the end of month: $86\mathrm{.}46$

February:

Assets under management at beginning of month $($million$)$: $86\mathrm{.}46$Investment profits during the month $($HPR x Assets$)$: $5\mathrm{.}88$

Question $2$

Question $2$ of $3$

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 $$80$ million and will be liquidated at the end of March.

Assets under management at beginning of month $($million$)$

Investment profits during the month $($HPR $$ Assets$)$

Net inflows during the month

Assets under management at the end of month

$\backslash$table$[[$January$,$February,March$],[80,86\mathrm{.}46,88\mathrm{.}04],[-0\mathrm{.}24,5\mathrm{.}88,5\mathrm{.}99],[6\mathrm{.}7,-4\mathrm{.}3,0\mathrm{.}00],[86\mathrm{.}46,88\mathrm{.}04,94\mathrm{.}03]]$

a$.$ Calculate the quarterly arithmetic average return on the fund. $($Round your answer to $2$ decimal places.$)$

b$.$ Calculate the quarterly geometric $($time$-$weighted$)$ average return on the fund. $($Round your answer to $2$ decimal places.$)$

c$.$ Calculate the quarterly dollar$-$weighted average return on the fund. $($Round your answer to $2$ decimal places.$)$Net inflows during the month: $-4\mathrm{.}3$

Assets under management at the end of month: $88\mathrm{.}04$March:Assets under management at beginning of month $($million$)$: $88\mathrm{.}04$

Investment profits during the month $($HPR x Assets$)$: $5\mathrm{.}99$

Net inflows during the month: $0\mathrm{.}00$Assets under management at the end of month: $94\mathrm{.}03$

a$.$ Calculate the quarterly arithmetic average return on the fund. $($Round your answer to $2$ decimal places.$)$

b$.$ Calculate the quarterly geometric $($time$-$weighted$)$ average return on the fund. $($Round your answer to $2$ decimal places.$)$

c$.$ Calculate the quarterly dollar$-$weighted average return on the fund. $($Round your answer to $2$ decimal places.$)$