Value of an annuity versus a single amount Personal Finance Problem Assume that you just won the state lottery. Your prize can be taken either in the form of $68,000 at the end of each of the next 30 years (that is, $2,040,000 over 30 years) or as a single amount of $977,000 paid immediately. a. If you expect to earn 6% annually on your investments over the next 30 years, ignoring taxes and other considerations, which alternative should you take? Why? b. Would your decision in part a change if you could earn 8% rather than 6% on your investments over the next 30 years? Why? c. At approximately what interest rate would you be indifferent between the two options