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.

Required:

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

Arithmetic average

$\%$

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

Geometric average

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

Dollar$-$weighted average return