A promise of money later is worth less than the same money now, because cash in hand can be invested in the meantime. This calculator puts a precise number on that gap for a single future payment — a bond maturing, an inheritance distribution, a buyout installment, a tuition bill you want to fund today. It also answers the flip-side question: how much do you need to set aside now to have a given amount on a future date?
How to use the calculator
- Enter the amount to be received (or needed) in the future.
- Enter the years until it is received; fractions of a year are allowed.
- Enter the discount rate — the yearly return you could earn on money of similar risk.
- Choose the compounding frequency. Annual compounding is the usual convention for comparing offers.
You get the present value, the discount in dollars, the discount factor and two tables: the same payment at other discount rates, and the same payment arriving sooner or later.
Present value of a single sum
The fraction 1 ÷ (1 + r/m)mt is the discount factor. For continuous compounding it becomes e−rt.
Worked example
You will receive $50,000 in 8 years. Money of similar safety could earn 5% a year, compounded annually.
- Discount factor: 1 ÷ 1.058 = 0.67683936
- Present value: $50,000 × 0.67683936 = $33,841.97
- The wait costs you $16,158.03, about 32% of the face amount
Read the other way: depositing $33,841.97 today at 5% would grow to exactly $50,000 in eight years.
Sensitivity to the discount rate
The same $50,000 due in 8 years:
| Discount rate | Present value | Discount |
|---|---|---|
| 2% | $42,674.52 | $7,325.48 |
| 3% | $39,470.46 | $10,529.54 |
| 4% | $36,534.51 | $13,465.49 |
| 5% | $33,841.97 | $16,158.03 |
| 6% | $31,370.62 | $18,629.38 |
| 7% | $29,100.46 | $20,899.54 |
| 8% | $27,013.44 | $22,986.56 |
Moving from 2% to 8% cuts the value by more than a third. That is why the discount rate is the most argued-over input in any valuation, from pension liabilities to lawsuit settlements.
Sensitivity to time
At 5%, $50,000 is worth $47,619.05 if it arrives in one year, $39,176.31 in five, $30,695.66 in ten and only $18,844.47 in twenty. Each additional year shaves roughly another 5% off the remaining value, so long delays erode value quickly.
Practical uses
- Comparing offers. A buyer offers $40,000 now or $50,000 in four years. At 5%, the later payment is worth $41,135.12 today — slightly more, but you would be taking on four years of credit risk for about $1,100.
- Zero-coupon bonds and Treasury bills are priced exactly this way: face value discounted by the market yield.
- Funding a future bill. To have $50,000 for tuition in 8 years, the present value is the lump sum to invest today at the assumed rate.
For level payments as well as a lump sum, the present value calculator handles both. To grow money forward instead, try the future value of a lump sum calculator, and for a ready-made grid of discount factors, the present value table.
Present values are estimates based on the rate you choose; they do not account for default risk or taxes and are not financial advice.
Frequently asked questions
What is the present value of a future sum?
It is the amount that, invested today at the discount rate, would grow to the future sum by the date it is due. $33,841.97 invested at 5% a year grows to $50,000 in 8 years, so that is the present value of $50,000 due in 8 years.
What is the formula?
PV = FV ÷ (1 + r ÷ m)^(m × t) for a nominal rate r compounded m times a year over t years. With continuous compounding, PV = FV × e^(−r × t).
What is a discount factor?
The present value of $1: 1 ÷ (1 + r)^t. Multiply any future amount by the factor to discount it. At 5% for 8 years the factor is 0.676839.
Should I take a smaller payment now or a larger one later?
Compare the payment now with the present value of the later payment at the rate you could realistically earn in the meantime. If the present value of the later payment is higher, waiting is worth more — before considering risk, taxes and your need for cash.
Why does a higher discount rate lower the present value?
A higher rate means money invested today would grow faster, so you need less of it to reach the same future amount. Distant payments are hit hardest because the rate compounds over more years.