Keith wants to have $$200,000$ in $24$ years to help his child attend college. If he can earn an annual interest rate of $9\mathrm{.}4$ percent compounded annually, how much will he have to deposit today?

Multiple Choice

$$23,664\mathrm{.}37$

$$23,153\mathrm{.}37$

$$8,333\mathrm{.}33$

$$1,727,610\mathrm{.}06$