A manager buys three shares of stock today and then sells one of those shares each year for the next $3$ years. His actions and the price history of the stock are summarized below. The stock pays no dividends.

$\backslash$table$[[$Time$,$Price,Action$],[0,$$$170,$Buy $3,$ shares$],[1,200,$Sell $1$ share$],[2,200,$Sell $1$ share$],[3,200,$Sell $1$ share$]]$

Required:

a$.$ Calculate the time$-$weighted geometric average return on this "portfolio."

Note: Do not round intermediate calculations. Round your answ$$r to $2$ decimal places.

b$.$ Calculate the time$-$weighted arithmetic average return on this portfolio.

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.

c$.$ Calculate the dollar$-$weighted average return on this portfolio.

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.

$\backslash$table$[[$a$.$ Geometric average return,,$\%$