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 $$60$ million.

Mighty Fine Mutual Fund

Monthly Data $($measured at end of month$)$

January February March

Net inflows $($$ million$)4\mathrm{.}35\mathrm{.}30$

HPR $(\%)1\mathrm{.}905\mathrm{.}604\mathrm{.}80$

Required:

a$.$ Calculate the quarterly arithmetic average return on the fund. $($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$

b$.$ Calculate the quarterly geometric $($time$-$weighted$)$ average return on the fund. $($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$

c$.$ Calculate the quarterly dollar$-$weighted average return on the fund. $($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$