Nancy has always wanted a BMW 750i. but she wants to be able to pay cash for it. She wants to be able to purchase the car 10 years from today, and she estimates that she will need $100,000 to make the purchase. Nancy will make 10 annual payments, beginning today, into an account that will pay a 6.5% interest rate (compounded annually). What is the amount that Nancy must invest each year to be able to purchase the car 10 years from today? $10, 595.11 $8, 861.29 $7, 410.47 $6, 958.19 You win the Mighty ball lottery, which promises a '$1 million" payout - yippee! But. there's a catch - your winnings will be paid as an annuity at a rate of $50,000 per year for 20 years, with the first payment beginning immediately. Alternatively, you may elect to receive an immediate lump-sum payout of $650,000. If the appropriate interest rate is 4.75% (compounded annually), which alternative should you select, and why? The annuity alternative, because its PV of $1,000,000 is greater than the $650,000 PV of the lump-sum alternative. The lump-sum alternative, because its PV of $650,000 is greater than the $636, 533 PV of the annuity alternative. The annuity alternative, because its PV of $666, 768.79 is greater than the $650,000 PV of the lump-sum alternative. It doesn't matter - you would be indifferent between the two alternatives. You go to Gary's Used Cars in search of a new (to you) car. Since you don't have a lot of money, you tell Gary that you must limit your monthly payment to $100. Gary shows you a nice, clean 1985 Yugo. which he offers to sell you for $3,000 cash (assume that $3,000 is the fair market value of the car). Or, if you would like to finance the purchase, you may choose to make 60 monthly payments of $100 each, with the first payment beginning one month from today. If you decide to finance the car. what nominal annual rate of interest (rounded to the nearest tenth of a percent) would you be paying on this loan? 16.5% 28.7% 31.6% 33.0%