Larry buys shares in Company ABC for $$72.$ Company ABC pays a dividend of $$1\mathrm{.}00$ per year.

At the end of the first year he owns it$,$ the stock falls to $$70.$

The stock subsequently rises to $$89$ and Larry decides to sell his shares in Company ABC for $$89$ at

the end of the second year since owning it$.$

What was the annualized rate of return on his investment using a time$-$weighted calculation?

$11\mathrm{.}08\%$

$12\mathrm{.}60\%$

$13\mathrm{.}62\%$

$7\mathrm{.}41\%$

$10\mathrm{.}17\%$