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The Clearinghouse Sweepstakes has just informed you that you have won \(1 million. The amount is to be paid out at the rate of \)20,000 a year for the next 50 years. With a discount rate of 10 percent, what is the present value of your winnings?

Short Answer

Expert verified

The present value is $198,296.29.

Step by step solution

01

Identification of the required information

Payment (PMT) = $20,000

Period (n) = 50 year

Interest Rate (i) = 10%

02

Present value (PV)

PV=PMT×1-1+i-ni=$20,000×1-1+10%-5010%=$198,296.29

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