Keith wants to have $$200,000$ in $25$ years to help his child attend college. If he can earn an annual interest rate of $9\mathrm{.}5$ percent compounded annually, how much will he have to deposit today?

Multiple Choice

$$21,197\mathrm{.}02$

$$1,933,672\mathrm{.}74$

$$8,000$

$$20,686\mathrm{.}02$