Q$14.$ You are $45$ years old and expect to retire at age $65,$ i$.$e$.,$ in $20$ years. If you wish your

investment portfolio, which will earn a $10\%$ return, compounded quarterly, to be worth

$$500,000$ on the day you retire, how much must you deposit today?

A$.$ $$17,075\mathrm{.}34$

B$.$ $$69,352\mathrm{.}29$

C$.$ $$74,321\mathrm{.}81$

D$.$ $$186,215\mathrm{.}31$

E$.$ $$341,506\mathrm{.}73$