Jim will need $$20,000$ at the end of $6$ years to put a down payment on a house. What rate of return will he need to earn if he can invest $$9,110$ today?

$13\mathrm{.}0\%$

$15\mathrm{.}0\%$

$14\mathrm{.}5\%$

$13\mathrm{.}5\%$

$14\mathrm{.}0\%$