$13)$ You have just received notification that you have won the $$4\mathrm{.}5$ million first prize in the Centennial Lottery. However, the prize will be awarded on your $100$th birthday $($ assuming you're around to collect$),69$ years from now. What is the present value of your windfall if the appropriate discount rate is $7$ percent?

Multiple Choice:

$$41,395\mathrm{.}96$

$$38,861\mathrm{.}51$

$$43,085\mathrm{.}59$

$$114,289\mathrm{.}30$

$$42,240\mathrm{.}77$