# Math Help - Lotter Winnings Present Value

1. ## Lotter Winnings Present Value

Lottery winnings are divided into equal payments given annually. Present value of winnings is worth less then the actual jackpot. Find the present value in dollars using the given conditions:
Jackpot Amount: $17,000,000 Interest Rate: 8% Equal Annual Payments: 20 Present Value in Dollars: ? I have the answer from the book, but I don’t understand how it was found. Answer:$8 345 425

2. For the answer given, You win the lottery today, and receive payment 1 one year from today, payment 2 two years from today.... Up to the 20th payment. Each payment is equal in value, so;
$17,000,000/20=\ 850,000$

$PV=850000\left[\frac{1-(1.08)^{-20}}{0.08}\right]=\ 8,345,425$

edit; it is a bit confusing, as if I won the lottery, I would want to receive the first payment now, not have to sit and wait for a year after winning the big jackpot! But the question doesn't specify when you receive the first payment..