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In: Finance

You've won the lotto jackpot of $1,000,000. They wnt to pay it to you at $50,000...

You've won the lotto jackpot of $1,000,000. They wnt to pay it to you at $50,000 a year for 20 years. You ask them what kind of discount rate they would use if you wanted a lump sum today instead and tell you 6%. What would your lump sum payment be?

Solutions

Expert Solution

Year Cash Flow PVF at 6% Present Value
1    50,000.00                 0.9434    47,169.81
2    50,000.00                 0.8900    44,499.82
3    50,000.00                 0.8396    41,980.96
4    50,000.00                 0.7921    39,604.68
5    50,000.00                 0.7473    37,362.91
6    50,000.00                 0.7050    35,248.03
7    50,000.00                 0.6651    33,252.86
8    50,000.00                 0.6274    31,370.62
9    50,000.00                 0.5919    29,594.92
10    50,000.00                 0.5584    27,919.74
11    50,000.00                 0.5268    26,339.38
12    50,000.00                 0.4970    24,848.47
13    50,000.00                 0.4688    23,441.95
14    50,000.00                 0.4423    22,115.05
15    50,000.00                 0.4173    20,863.25
16    50,000.00                 0.3936    19,682.31
17    50,000.00                 0.3714    18,568.22
18    50,000.00                 0.3503    17,517.19
19    50,000.00                 0.3305    16,525.65
20    50,000.00                 0.3118    15,590.24
Present Value/Lumpsum amount 573496.06

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