How to use this calculator
- Pick a mode: a single future amount (lump sum), or a repeating deposit (periodic deposits).
- Enter the number of periods and the interest rate per period.
- For a lump sum, enter the future value you're discounting. For periodic deposits, enter the deposit amount and whether it lands at the start or end of each period.
- Read the present value, plus the implied interest for a lump sum, or the future value, breakdown, and period-by-period schedule for periodic deposits.
- Share the link or export the schedule as CSV.
How it's calculated
A future lump sum is discounted with PV = FV ÷ (1 + r)n, where r is the interest rate per period and n is the number of periods between now and the future date. The implied interest shown is simply the future value minus that present value — the amount growth alone would add between now and then.
Periodic deposits are handled in two steps. First, each deposit is projected forward to a future value the same way a savings account compounds: a deposit made earlier in the schedule earns interest for more periods than one made later. Then that total future value is discounted back to today using the same formula above. Payment timing matters here — a deposit made at the beginning of a period earns one extra period of interest compared to the same deposit made at the end, so 'beginning of period' produces a higher present value for identical inputs.
Present value (PV) and net present value (NPV) are related but answer different questions. PV is the value today of one future amount or one stream of future amounts, discounted at a rate you pick — that's what this calculator computes. NPV goes a step further: it subtracts an upfront cost from that discounted value, netting what you'd pay against what you'd receive, to answer 'is this investment worth making.' This calculator doesn't take an upfront cost as an input, so it reports PV, not NPV — to get NPV, subtract your own upfront cost from the present value shown here.
Both calculations rest on the time value of money. $10,000 promised in 10 years is not the same as $10,000 sitting in your account today — only the second one can start earning interest right now. Present value puts an exact number on that gap instead of leaving it as a feeling.
Assumptions
- The discount rate you enter is treated as constant for every period; real interest rates and investment returns move around year to year.
- Periodic deposits are exactly the same amount each period, landing exactly on schedule, with no missed payments, fees, or taxes.
- The deposit period and the rate period are the same one — if you're modeling monthly deposits, enter a monthly rate and a period count in months, not years.
- Results are for planning and educational purposes only, not financial, investment, legal, or tax advice.
Frequently asked questions
What's the difference between present value and net present value?
Present value (PV) is the discounted value today of a future amount or stream of amounts — what this calculator computes. Net present value (NPV) subtracts an upfront cost from that PV, so it nets what you'd pay now against what you'd receive later; it's the metric used to decide whether a project or purchase is worth it. This calculator reports PV only — subtract your own upfront cost to get NPV.
How do I calculate the present value of an annuity?
Switch to 'Periodic deposits' mode and enter the deposit amount, the rate per period, the number of periods, and whether each deposit lands at the beginning or end of the period. The calculator projects the deposits forward to a future value, then discounts that total back to today using the same present-value formula used for a single lump sum.
How do I find present value on a financial calculator?
A financial calculator's five time-value-of-money keys are N (periods), I/Y (rate per period), PV, PMT (periodic payment), and FV. Enter the values you know, leave PV blank, and solve for it. For a single future amount, set PMT to 0 and enter the amount under FV. For a stream of deposits, enter the deposit under PMT and set FV to 0 (unless there's also a lump sum at the end).
Can I use this to find the present value of a bond?
Yes, as two pieces added together. The bond's coupon payments are a periodic-deposit annuity — run those through 'Periodic deposits' mode using the coupon amount, the discount rate per period, and the number of remaining periods. The face value repaid at maturity is a separate lump sum — run that through 'Lump sum' mode with the same rate and period count. Add the two present values together for the bond's total present value.
How do I convert a future value back to a present value?
Present value and future value are two sides of the same formula: FV = PV × (1 + r)^n going forward, and PV = FV ÷ (1 + r)^n going backward. Enter the future amount, the rate per period, and the number of periods in 'Lump sum' mode, and the calculator does the division for you.
What discount rate should I use?
It depends on what you're comparing against — typically your cost of borrowing, a required rate of return, or the return on the next-best alternative use of the money. This calculator doesn't recommend a rate; try a few different ones to see how sensitive the present value is to your assumption.
Why is present value always lower than future value (at a positive rate)?
Because of the time value of money: a dollar today can be invested and grow, so a dollar received later has to be worth less today to be an equal trade. Discounting a future amount back to the present always shrinks it, as long as the rate is positive — the higher the rate or the more periods involved, the bigger the gap between the two numbers.
Does payment timing change the present value of an annuity?
Yes, by one period's worth of interest. A deposit made at the beginning of each period earns interest for one extra period compared with the same deposit made at the end, so 'beginning of period' timing produces a slightly higher present (and future) value for identical deposit amounts, rate, and period count.
What's a real-world use for net present value?
NPV is standard in capital budgeting — deciding whether to buy equipment, take on a project, or make an investment by comparing the upfront cost against the present value of what it's expected to return. A positive NPV means the discounted future benefit exceeds the cost; a negative one means it doesn't. This calculator supplies the present-value half of that comparison.
Is this the same math my other calculators use?
Yes. The periodic-deposits side runs on the same compound-growth math as the compound interest and investment calculators, just projected forward and then discounted back instead of only forward. If you're trying to hit a savings goal rather than find today's value of one, those calculators are the better starting point.
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Disclaimer: This calculator provides estimates for educational purposes only and is not financial, tax, or legal advice. Actual results depend on your personal circumstances and can change over time. Consult a qualified professional before making financial decisions.