Question
Bobs Lottery Incorporated has decided to offer winners a choice of $100,000 in 10 years or some amount currently. Assume that Bob's Lottery Incorporated earns
Bobs Lottery Incorporated has decided to offer winners a choice of $100,000 in 10 years or some amount currently. Assume that Bob's Lottery Incorporated earns a 10 percent after-tax rate of return. What amount should Bob's offer lottery winners currently in order to be indifferent between the two choices? Use Exhibit 3.1. EXHIBIT 3-1 Present Value of a Single Payment at Various Annual Rates of Return 4% 5% 6% 7% 8% 9% 10% 11% 12% Year 1 .962 .952 .943 .935 .926 .917 .909 .901 .893 Year 2 .925 .907 .890 .873 .857 .842 .826 .812 .797 Year 3 .889 .864 .840 .816 .794 .772 .751 .731 .712 Year 4 .855 .823 .792 .763 .735 .708 .683 .659 .636 Year 5 .822 .784 .747 .713 .681 .650 .621 .593 .567 Year 6 .790 .746 .705 .666 .630 .596 .564 .535 .507 Year 7 .760 .711 .665 .623 .583 .547 .513 .482 .452 Year 8 .731 .677 .627 .582 .540 .502 .467 .434 .404 Year 9 .703 .645 .592 .544 .500 .460 .424 .391 .361 Year 10 .676 .614 .558 .508 .463 .422 .386 .352 .322 Year 11 .650 .585 .527 .475 .429 .388 .350 .317 .287 Year 12 .625 .557 .497 .444 .397 .356 .319 .286 .257 Year 13 .601 .530 .469 .415 .368 .326 .290 .258 .229 Year 14 .577 .505 .442 .388 .340 .299 .263 .232 .205 Year 15 .555 .481 .417 .362 .315 .275 .239 .209 .183
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