You invested $$10,000\mathrm{.}00$ in ABC Company, Inc. on January $1,2010.$ On December $31$ of $2022$ you sold the stock for $$49,000\mathrm{.}00.$ What was the geometric average rate of return $($i$.$e$.,$ the CAGR$)$ on your investment?

$-11\mathrm{.}5\%$

$390\mathrm{.}0\%$

$13\mathrm{.}0\%$

$11\mathrm{.}4\%$