You have just received notification that you have won the $1.25 million first prize in the Centennial Lottery. However, the prize will be awarded on your 100th birthday, 79 years from now. The appropriate discount rate is 6.4 percent. What is the present value of your winnings

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Answer:

$9,300.82

Explanation:

The formula for calculating present value:

P = FV (1 + r)^-n

FV = Future value = $1.25 million

P = Present value

R = interest rate = 6.4 percent.

N = number of years = 79

1.25 (1.064)^-79 = $9,300.82

I hope my answer helps you

The present value of the winning should be $9300.82.

Calculation of the present value:

We know that

Present value of inflows=cash inflow*Present value of discounting factor(rate%,time period)

So,

[tex]=1,250,000\div 1.064^{79}\\\\=1,250,000\times 0.00744065882[/tex]

=$9300.82

hence, The present value of the winning should be $9300.82.

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