XYZ$\text{'}$s stock price and dividend history are as follows:

Year Beginning$-$of$-$Year Price Dividend Paid at Year$-$End

$2019$ $ $96$ $ $4$

$20201164$

$2021864$

$2022964$

An investor buys three shares of XYZ at the beginning of $2019,$ buys another two shares at the beginning of $2020,$ sells one share at the beginning of $2021,$ and sells all four remaining shares at the beginning of $2022.$

Required:

a$.$ What are the arithmetic and geometric average time$-$weighted rates of return for the investor? $($Round your year$-$by$-$year rates of return and final answers to $2$ decimal places. Do not round other calculations.$)$