You have just received notification that you have won the $3 million first prize in the Centennial Lottery. However, the prize will be awarded on your 100th birthday (assuming you're around to collect), 78 years from now. What is the present value of your windfall if the appropriate discount rate is 10 percent? (Do not round intermediate calculations and round your answer to 2 decimal places, e. g., 32.16.)

Question

Conner Best

Business

6 October, 01:23

You have just received notification that you have won the $3 million first prize in the Centennial Lottery. However, the prize will be awarded on your 100th birthday (assuming you're around to collect), 78 years from now. What is the present value of your windfall if the appropriate discount rate is 10 percent? (Do not round intermediate calculations and round your answer to 2 decimal places, e. g., 32.16.)

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Answers (1)

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Blackburn · Answer 1

Present Value = $1,772.115

Explanation:

Giving the following information:

You have won the $3 million first prize in the Centennial Lottery.

However, the prize will be awarded on your 100th birthday, 78 years from now. What is the present value of your windfall if the appropriate discount rate is 10 percent.

We need to use the following formula:

PV = FV/[ (1+i) ^n]

PV = present value

FV = final value

PV = 3000000 / (1.10^78) = $1,772.115