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The present value of $2m payable in 20 years at 8% ​

Question

The present value of $2m payable in 20 years at 8% ​

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Solution

To calculate the present value of $2 million payable in 20 years at an 8% interest rate, we can use the formula for present value:

PV = FV / (1 + r)^n

Where: PV = Present Value FV = Future Value r = Interest Rate n = Number of years

Plugging in the given values: FV = $2 million r = 8% (or 0.08) n = 20 years

PV = $2,000,000 / (1 + 0.08)^20

Now, let's calculate the present value step by step:

  1. Calculate the denominator: (1 + 0.08)^20 = 3.207135

  2. Divide the future value by the denominator: 2,000,000/3.207135=2,000,000 / 3.207135 = 623,116.69

Therefore, the present value of 2millionpayablein20yearsatan82 million payable in 20 years at an 8% interest rate is approximately 623,116.69.

This problem has been solved

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