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Phoenix [80]
3 years ago
10

You have just received notification that you have won the $2.12 million first prize in the Centennial Lottery. However, the priz

e will be awarded on your 100th birthday (assuming you’re around to collect), 68 years from now. What is the present value of your windfall if the appropriate discount rate is 9 percent? (Do not round intermediate calculations and enter your answer in dollars, not millions of dollars, rounded to 2 decimal places, e.g., 1,234,567.89.)
Business
1 answer:
Juliette [100K]3 years ago
3 0

Answer:

  • <u>$6,044.13</u>

Explanation:

The present value formula is:

Present\text{ }value=\dfrac{Future\text{ }value}{(1+r)^n}

Assuming annual compounded interest, r = 9% = 0.09 and n = 68 years.

Substituting and computing:

    Present\text{ }value=\dfrac{\$2,120,000}{(1+0.09)^{68}}=\$6,044.13

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