Alex has been saving up for retirement at age $65.$ His investment account earns an average of $8\mathrm{.}75\%$ interest. Alex wishes to withdraw $$50,000$ from his account each year for $25$ years after retirement. The first withdrawal will come at the beginning of the year when he retires. How much money does Alex need to accumulate in this account on the day he retires?

$$507,833\mathrm{.}93$

$$502,341\mathrm{.}15$

$$545,104\mathrm{.}84$

$$462,718\mathrm{.}85$

$$501,245\mathrm{.}83$