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 return is $7\mathrm{.}5\%,$ how large must the lump sum be to

leave her as well off financially as with the annuity?

$$225,367$

$$237,229$

$$249,090$

$$261,545$

$$274,622$