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%?
llm
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.