Problem $18-6($Algo$)$

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

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

Required:

a$.$ What are the orithmetic and geometric overage 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$)$

$\backslash$table$[[$Arithmetic average rale of retum,$5\mathrm{.}19,\%$