Present Value of an Annuity

On January 1, you win $50,000,000 in the state lottery. The $50,000,000 prize will be paid in equal installments of $6,250,000 over eight years. The payments will be made on December 31 of each year, beginning on December 31 of this year. If the current interest rate is 12%, determine the present value of your winnings. Use the present value tables in Exhibit 7. Round to the nearest whole dollar. $fill in the blank 1

Will the present value of your winnings using an interest rate of 12% be more than the present value of your winnings using an interest rate of 5%?

Exhibit 7 Present Value of an Annuity of $1 at Compound Interest Periods 1 2 4% 0.96154 1.88609 2.77509 3.62990 4.45182 5.24214 6.00205 6.73274 7.43533 8.11090 3 4 5 47% 0.95694 1.87267 2.74896 3.58753 4.38998 5.15787 5.89270 6.59589 7.26879 7.91272 5% 0.95238 1.85941 2.72325 3.54595 4.32948 5.07569 5.78637 6.46321 7.10782 7.72173 572% 0.94787 1.84632 2.69793 3.50515 4.27028 4.99553 5.68297 6.33457 6.95220 753763 6% 0.94340 1.83339 2.67301 3.46511 4.21236 672% 0.93897 1.82063 2.64848 3.42580 4.15568 4.84101 5.48452 6.08875 6.65610 7.18883 7% 0.93458 1.80802 2.62432 3,38721 4.10020 4.76654 5.38929 5.97130 6.51523 7.02358 10% 0.90909 1.73554 2.48685 3.16987 3.79079 4.35526 4.86842 5.33493 5.75902 6.14457 11% 0.90090 1.71252 2.44371 3.10245 3.69590 4.23054 4.71220 5.14612 5.53705 5.88923 12% 0.89286 1.69005 2.40183 3.03735 3.60478 4.11141 4.56376 4.96764 5.32825 5.65022 13% 0.88496 1.66810 2.36115 2.97447 3.51723 3.99755 4.42261 4.79677 5.13166 5.42624 6 7 8 4.91732 5.58238 6.20979 6.80169 7.36009 9 10