Question

Winners of the Dream a Dream Lotto draw are given the choice of receiving the winning amount divided equally over 22 years or as a lump sum cash option amount. The cash option amount is determined by discounting the winning amount at 9 percent interest compounded quarterly over 22 years. This week the lottery is worth $18 million to a single winnerWhat would the​ lump-sum cash option payout​ be?

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Answer #1

Present Value = $18,000,000

Discount Rate = 9%

NPER = 22 years

Future Value Cash option = Cash payout * (1+discount rate)^NPER

= $18,000,000 * ( 1+ 0.0225)^88

= $127,539,401

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