Ali dream is to own his own fishing boat to use in his retirement. He has recently come into an inheritance of $$500,000.$ He estimates that the boat he wants will cost $$250,000$ when he retires in $5$ years. How much of his inheritance must he invest at an annual rate of $8\%($compounded annually$)$ to buy the boat at retirement?

a$.$

$$170,145\mathrm{.}79$

b$.$

$$195,881\mathrm{.}54$

c$.$

$$183,757\mathrm{.}46$

d$.$

$$198,458\mathrm{.}06$