An investor placed $$2,000$ per year at the end of each year into an investment account. Immediately after the $15$th payment, the value of money in the account was $$58,720.$ What is the average annual rate of return the investor has earned on the account?

Group of answer choices

$7\mathrm{.}0\%$

$9\mathrm{.}0\%$

$5\mathrm{.}1\%$

$6\mathrm{.}3\%$