In: Finance
You just won the lottery. Congratulations! The jackpot is $85,000,000 paid in eight equal annual payments. The first payment on the lottery jackpot will be made today. In present value terms, you really won ______ assuming annual interest rate of 11.00%. Show work or formula in excel.
Amount of jackpot | 85,000,000 | |||
Annual payment | 10,625,000 | |||
Year | Payment | Present Value Factor | Present Value | |
0 | 10,625,000 | 1.00000 | 10,625,000 | |
1 | 10,625,000 | 0.90090 | 9,572,072 | |
2 | 10,625,000 | 0.81162 | 8,623,488 | |
3 | 10,625,000 | 0.73119 | 7,768,908 | |
4 | 10,625,000 | 0.65873 | 6,999,017 | |
5 | 10,625,000 | 0.59345 | 6,305,420 | |
6 | 10,625,000 | 0.53464 | 5,680,559 | |
7 | 10,625,000 | 0.48166 | 5,117,621 | |
Present Value | 60,692,085 | |||
Amount really won = $60,692,085
Formulae are: