Assume that you just won the state lottery. Your prize can be taken either in the form of $40,000 at the end of each of the next twinty-five years (i.e., $1 million over twenty-five years) or as a lump sum of $500,000 paid immediately.

a. If you expect to be able to earn 5% annually on your investments over the next twently-five years, which alternative should you take? Why?

b. Would your decision in part (a) be altered if you could earn 7% rather than 5% on your investments over the next twenty-five years? Why?

c. At approximately what interest rate would yo ube indifferent when choosing between the two plans?