Question

Present Value of an Annuity

On January 1 you win $2,600,000 in the state lottery. The $2,600,000 prize will be paid in equal installments of $260,000 over 10 years. The payments will be made on December 31 of each year, beginning on December 31. If the current interest rate is 5%, determine the present value of your winnings. Use the present value tables in Exhibit 7. Round to the nearest whole dollar.

5.5% 6% s,5% 79 Present Value of Ordinary Annuity of $1 per Period Periods 4.0% 4,5% 5% 0.96154 0.95694 095238 1.88609 1.8726

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Answer #1

present value of annuity = annuity x PVAF

= $260,000 x 7.72173

= $2,007,649.8

where,

PVAF(5%, 10) = 7.72173

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Present Value of an Annuity On January 1 you win $2,600,000 in the state lottery. The $2,600,000 prize will be paid in e...
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