Niko Sato Co$.$ stock price and dividend history are as follows:

Year

Beginning of year price

Dividend paid at year end

$2016$

$$105$

$$3$

$2017$

$$112$

$$4$

$2018$

$$100$

$$5$

$2019$

$$120$

$$6$

An investor buys four shares of Niko Sato at the beginning of $2016,$ buys another three shares at the beginning of $2017,$ sells two shares at the beginning of $2018,$ and sells all five remaining shares at the beginning of $2019.$ What is the dollar$-$weighted average return for this investor?

Group of answer choices

$9\mathrm{.}52\%$

$6\mathrm{.}13\%$

$9\mathrm{.}13\%$

$16\mathrm{.}08\%$