Geraldine was injured in a car accident, and the insurance company has offered her the choice of $$25,000$ per year for $15$ years, with the first payment being made today, or a lump sum. If a fair annual rate of return is $7\mathrm{.}5\%,$ how large must the lump sum be to leave her as well off financially as with the annuity?

Question $5$ options:

A$)$

$$225,367$

B$)$

$$237,229$

C$)$

$$249,090$

D$)$

$$261,545$

E$)$

$$274,622$