L'Jarius Sneed wishes to save money to provide for his retirement in $25$ years. Beginning one month from now, he will begin depositing a fixed amount each month for the next $25$ years into a retirement savings account that will earn $7\mathrm{.}9\%$ compounded monthly. Then, one year after making his final deposit, he will want to withdraw $$70,700$ annually for $10$ years for his retirement. The fund will continue to earn $7\mathrm{.}9\%$ compounded monthly. How much should his monthly deposits be so that he will have enough money to purchase the annuity that pays $$70,700$ a year for $10$ years when he retires?

Multiple Choice

$$527\mathrm{.}76$

$$1,567\mathrm{.}71$

$$502\mathrm{.}62$

$$427\mathrm{.}23$