$5.$ Jack buys $1000$ shares of Acme stock at $$96$ per share on January $1,$ Year $1.$ At the end of the first year $($December $31,$ Year $1),$ he buys $100$ more shares at $$108$ per share. At the end of the second year $($December $31,$ Year $2),$ he buys another $100$ shares for $$125$ per share. The stock pays a dividend of $$2\mathrm{.}00$ per share on December $29$th of each year. Acme is trading at $$148\mathrm{.}60$ as of December $31,$ Year $3.$ What is the time weighted return for Acme since January $1,$ Year $1$ to today?

$($a$)17\mathrm{.}49\%$

$($b$)20\mathrm{.}35\%$

$($c$)23\mathrm{.}21\%$

$($d$)25\mathrm{.}00\%$