Question

Kristina just won the lottery, and she must choose among three award options. She can elect to receive a lump sum today of $62 million, to receive 10 end-of-year payments of $9.5 million, or to receive 30 end-of-year payments of $5.6 million.
(a) If she thinks she can earn 7% annually, which should she choose?
(b) If she expects to earn 8% annually, which is the best choice?
(c) If she expects to earn 9% annually, which option would you recommend?
(d) Explain how interest rates influence her choice.

Answer 1

Answer:

a. Best deal is 30 end-of-year payments of $5.6 million

b. Best deal is 10 end-of-year payments of $9.5 million

c. Best deal is lump sum today of $62 million

Explanation:

Please see attachment for workings.

d. As the interest rate increases, the duration of value shortens. That is as the interest rate increases, the best choose based on their payment duration reduces