Winners of the Georgia Lotto drawing are given the choice of receiving the winning amount divided equally over 19 years or as a lump-sum cash option amount. The cash option amount is determined by discounting the annual winning payment at 8% over 19 years. This week the lottery is worth $3 million to a single winner. What would the cash option payout be?

$615,304.33

Explanation:

In order to solve this, we need to use the compound interest formula to calculate the final amount after deducting the 8% for 19 years. The formula is the following...

Where:

A = the future value of the investment/loan, including interest

P = the principal investment amount (the initial deposit or loan amount)

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per unit t

t = the time the money is invested or borrowed for

Now we plug in the values and solve for A

Therefore, the final lump sum payout would be $615,304.33

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