A manager buys three shares of stock today, and sells one of those shares each year for the next three years. His actions and the price history of the stock are summarized below. The stock pays no dividends.

Time Price Action

$0$ $ $180$ Buy $3$ shares

$1200$ Sell $1$ share

$2200$ Sell $1$ share

$3200$ Sell $1$ share

a$.$ Calculate the time$-$weighted geometric average return on this $$portfolio$.($Do not round intermediate calculations. Round your answer to $2$ decimal places. Omit the $"\%"$ sign in your response.$)$

Geometric average return

$\%$

b$.$ Calculate the time$-$weighted arithmetic average return on this portfolio. $($Do not round intermediate calculations. Round your answer to $2$ decimal places. Omit the $"\%"$ sign in your response.$)$

Arithmetic average return

$\%$

c$.$ Calculate the dollar$-$weighted average return on this portfolio. $($Do not round intermediate calculations. Round your answer to $2$ decimal places. Omit the $"\%"$ sign in your response.$)$

Dollar$-$weighted average return

$\%$