How do you find the present value of a future amount?
John Hall
Updated on February 08, 2026
How to calculate present value of a future amount
- Start with your interest rate, expressed as a fraction. So 5% is 0.05.
- Add 1 to the interest rate.
- Raise the result to the power of duration.
- Divide the amount by the result.
What is the formula for present value?
NPV Formula. It’s important to understand exactly how the NPV formula works in Excel and the math behind it. NPV = F / [ (1 + r)^n ] where, PV = Present Value, F = Future payment (cash flow), r = Discount rate, n = the number of periods in the future.
What is present value of money?
Present value is the current value of the future sum of money, at a specified rate of return. The present value tells you if a sum of money today is worth more than the same amount in the future. The present value shows you that the money you receive in the future is not worth the money you receive today.
What is the present value of$ 120?
That is to say, the present value of $120 if your time-frame is 3 years and your discount rate is 10% is $90.16. For the above problem, your sum would be $133.10. Here’s how the math works out:
How to find the discounted present value of money?
If the interest rate is 10%, $100 invested this year becomes $110 in one year’s time, $121 in two years, or in the general case, 100 x (1 + r) n in n year’s time, where r is the interest rate expressed as a fraction, i.e. 10% as 0.1.
How to calculate the present value of a benefit?
For example, at a discount rate of 10%, $100 received in years 1 to 5 inclusive has a present value of 90.9 + 82.6 + 75.1 + 68.3 + 62.1 = $379. The cumulative discount factor is thus 3.79. To calculate the present value of a cost or benefit in years 5 to 20 inclusive, take the multiplier for 20 years and subtract that for 5 years (Table B.2).
What is the present value of a sum of money?
PV is defined as the value in the present of a sum of money, in contrast to a different value it will have in the future due to it being invested and compound at a certain rate.
