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 5%, determine the present value of your winnings. Use the present value tables in Exhibit 7. Round to the nearest whole dollar

Accounting (Text Only)
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ISBN:9781285743615
Author:Carl Warren, James M. Reeve, Jonathan Duchac
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Chapter14: Long-term Liabilities: Bonds And Notes
Section: Chapter Questions
Problem 14.20EX
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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 5%, determine the present value of your winnings. Use the present value tables in Exhibit 7. Round to the nearest whole dollar.

Exhibit 7 Present Value of an Annuity of $1 at Compound Interest
Periods
4%
42%
5%
5%%
6%
6½%
7%
10%
11%
12%
13%
1
0.96154
0.95694
0.95238
0.94787
0.94340
0.93897
0.93458
0.90909
0.90090
0.89286
0.88496
2
1.88609
1.87267
1.85941
1.84632
1.83339
1.82063
1.80802
1.73554
1.71252
1.69005
1.66810
3
2.77509
2.74896
2.72325
2.69793
2.67301
2.64848
2.62432
2.48685
2.44371
2.40183
2.36115
4
3.62990
3.58753
3.54595
3.50515
3.46511
3.42580
3.38721
3.16987
3.10245
3.03735
2.97447
4.45182
4.38998
4.32948
4.27028
4.21236
4.15568
4.10020
3.79079
3.69590
3.60478
3.51723
6
5.24214
5.15787
5.07569
4.99553
4.91732
4.84101
4.76654
4.35526
4.23054
4.11141
3.99755
7
6.00205
5.89270
5.78637
5.68297
5.58238
5.48452
5.38929
4.86842
4.71220
4.56376
4.42261
8
6.73274
6.59589
6.46321
6.33457
6.20979
6.08875
5.97130
5.33493
5.14612
4.96764
4.79677
7.43533
7.26879
7.10782
6.95220
6.80169
6.65610
6.51523
5.75902
5.53705
5.32825
5.13166
10
8.11090
7.91272
7.72173
7.53763
7.36009
7.18883
7.02358
6.14457
5.88923
5.65022
5.42624
Transcribed Image Text:Exhibit 7 Present Value of an Annuity of $1 at Compound Interest Periods 4% 42% 5% 5%% 6% 6½% 7% 10% 11% 12% 13% 1 0.96154 0.95694 0.95238 0.94787 0.94340 0.93897 0.93458 0.90909 0.90090 0.89286 0.88496 2 1.88609 1.87267 1.85941 1.84632 1.83339 1.82063 1.80802 1.73554 1.71252 1.69005 1.66810 3 2.77509 2.74896 2.72325 2.69793 2.67301 2.64848 2.62432 2.48685 2.44371 2.40183 2.36115 4 3.62990 3.58753 3.54595 3.50515 3.46511 3.42580 3.38721 3.16987 3.10245 3.03735 2.97447 4.45182 4.38998 4.32948 4.27028 4.21236 4.15568 4.10020 3.79079 3.69590 3.60478 3.51723 6 5.24214 5.15787 5.07569 4.99553 4.91732 4.84101 4.76654 4.35526 4.23054 4.11141 3.99755 7 6.00205 5.89270 5.78637 5.68297 5.58238 5.48452 5.38929 4.86842 4.71220 4.56376 4.42261 8 6.73274 6.59589 6.46321 6.33457 6.20979 6.08875 5.97130 5.33493 5.14612 4.96764 4.79677 7.43533 7.26879 7.10782 6.95220 6.80169 6.65610 6.51523 5.75902 5.53705 5.32825 5.13166 10 8.11090 7.91272 7.72173 7.53763 7.36009 7.18883 7.02358 6.14457 5.88923 5.65022 5.42624
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