Question

A judge denied a 94-year-old woman s attempt to force a Lottery Commission to pay her $3.9 million winnings up front on the grounds that she otherwise won't live long enough to collect it all. The woman already received an immediate payment of $161,454, and she will receive 22 annual gross checks of $169,934. Suppose that she were able to find a buyer who was willing to buy her lottery ticket which means that the buyer would receive 22 annual gross checks of $169,934. If the woman could invest her money from selling the lottery ticket at 5.1% interest, what would be the fair amount to trade her 22 future lottery receipts

Answer 1

$2,216,588.59

Step-by-step explanation:

The fair amount to trade her 22 future lottery receipts is the present worth of the future payments discounted using 5.1% discount rate as shown below.

The present value can be computed using the excel present value formula:

=pv(rate,nper,pmt,fv)

rate is the interest /discount rate of 5.1%

nper is the number of times the future payment would be made which is 22

pmt is the amount of each future payment.

fv is the future value worth of the 22 payments which is not known hence taken as zero

=-pv(5.1%,22,169,934,0)=$2,216,588.59