XYZ stock price and dividend history are as follows:

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

$2018$ $ $134$ $ $3$

$2019$ $ $150$ $ $3$

$2020$ $ $125$ $ $3$

$2021$ $ $130$ $ $3$

An investor buys five shares of XYZ at the beginning of $2018,$ buys another two shares at the beginning of $2019,$ sells one share at the beginning of $2020,$ and sells all six remaining shares at the beginning of $2021.$

a$.$

What are the arithmetic and geometric average time$-$weighted rates of return for the investor? $($Do not round intermediate calculations. Enter your answer as a percentage rounded to two decimal places.$)$ Hint: There will be $3$ HPRs given the $4$ dates.

Arithmetic average return

$1\mathrm{.}97$

$\%$

Geometric average return

$1\mathrm{.}21$

$\%$

b$.$

To compute dollar$-$weighted return, prepare a chart of cash flows for the four dates corresponding to the turns of the year for January $1,2018,$ to January $1,2021.($Enter your answer as an integer. Negative amounts should be indicated by a minus sign.$)$