For $$80,000$ you can purchase a $15-$year annuity that will pay $$10,000$ per year. The payments are made at the end of each year. Calculate the interest rate implied by this arrangement.

Group of answer choices

$8\mathrm{.}55\%$

$6\mathrm{.}13\%$

$9\mathrm{.}13\%$

$7\mathrm{.}12\%$