$$Suppose you just won the state lottery, and you have a choice between receiving $$2,225,000$ today or a $20-$year annuity of $$250,000,$ with the first payment coming one year from today. What rate of return is built into the annuity? Disregard taxes.

Group of answer choices

$9\mathrm{.}64\%$

$9\mathrm{.}36\%$

$7\mathrm{.}97\%$

$10\mathrm{.}67\%$

$10\mathrm{.}36\%$