Problem 5-21 Evaluating lump sums and annuities Crissie just won the lottery, and she must choose between three award options. She can elect to receive a lump sum today of $61 million, to receive 10 end-of-year payments of $9.5 million, or 30 end-of-year payments of $5.6 million. If she thinks she can earn 7% percent annually, which should she choose? If she expects to earn 8% annually, which is the best choice? If she expects to earn 9% annually, which would you recommend? Explain how interest rates influence the optimal choice.