You have just received notification that you have won the $2 million first prize in the centennial lottery. However, the prize will be awarded on your 100th birthday, 76 years from now. Requried: What is the present value of your windfall if the appropriate discount rate is 8%?

Business · College · Mon Jan 18 2021

Answered on

To find the present value of the $2 million prize to be received 76 years from now, we'll use the formula for present value:

Present Value = Future Value / (1+r)t

Where: 

Future Value is the amount to be received in the future ($2 million)

r is the discount rate (8% or 0.08)

t is the time in years (76 years)


Let's calculate:

Present Value = 2,000,000 / (1+0.08) 76 

Using a calculator:

Present Value = 2,000,000 / (1.08) 76

 Present Value = 2,000,000 / 99.085

 Present Value = 20,184.91

Therefore, the present value of the $2 million prize to be received 76 years from now, with an 8% discount rate, is approximately $20,184.91.







 

 


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