Free tool · Finance
Present Value Calculator
Enter a future target, rate, years, and compounding frequency to see the present value, discount amount, and discount factor.
Present value of $20,000 due in 10 years at 7%?
Compounding monthly, set aside $9,951.93 today and the expected growth covers the other $10,048.07.
- PV = 20,000 ÷ (1 + 0.07 ÷ 12)12 × 10.
- = $9,951.93 needed today — $10,048.07 less than the target.
How to use this present value calculator
- Enter the future amount you want to reach, the annual rate and the number of years.
- Pick how often the interest compounds: annually, quarterly, monthly or daily.
- Read the large figure: the present value, with the discount amount and the discount factor alongside.
What present value is
A present value calculator works backward from a known future sum. Given a target amount, an annual rate, a time horizon, and a compounding frequency, it returns the single sum that would have to be set aside today to reach that target under the stated conditions.
Present value depends on the rate and the time. A higher rate or a longer term means less needs to be set aside today to reach the same target. The calculator also shows the discount amount, which is the gap between the future sum and its present value, and the discount factor, which is the share of the future sum needed today. Together, these show both the dollar gap and the multiplier behind it.
Reading the growth chart
The chart under the result starts at the amount you would set aside today and grows it across the whole term. The blue line compounds it at your rate and lands exactly on the target. The orange line grows the same amount at simple interest instead and ends below the target — the gap at the end is what compounding contributes. The dashed line marks the amount set aside today. Move your mouse over the chart, or touch it, to read both balances at any point along the way.
The formulas
Present value
PV = FV ÷ (1 + r ÷ n)n × t
FV is the future amount, r the annual rate as a decimal, n the compounding periods per year and t the years. For the default case of a $20,000 target in 10 years at 7%, compounded monthly, the present value is $9,951.93.
Discount amount
Discount amount = FV − PV
The difference between the future sum and the amount needed today. In the default case, $20,000 − $9,951.93 = $10,048.07.
Discount factor
Discount factor = 1 ÷ (1 + r ÷ n)n × t
The share of the future sum that is needed today. For the default case it is 0.4976, so about 49.76% of the $20,000 target, or $9,951.93, is needed now.
Examples
| Example | Future amount | Rate | Years | Compounding | Present value | Discount factor |
|---|---|---|---|---|---|---|
| Default target | $20,000 | 7% | 10 | Monthly | $9,951.93 | 0.4976 |
| Five-year target | $10,000 | 5% | 5 | Annually | $7,835.26 | 0.7835 |
| Long-term target | $50,000 | 6% | 20 | Monthly | $15,104.81 | 0.3021 |
Three mistakes people make with present value
Entering today's amount instead of the future target
The calculator starts with a future amount and works backward. Enter the target sum you expect or want to evaluate at the end of the selected period, not the amount you hold today.
Reading the discount factor as a percentage
A discount factor of 0.4976 means about 49.76% of the future sum, not 0.4976%. To get the percentage, multiply by 100. Check which format the calculator is showing before you use it.
Assuming the present value is a safe figure
The present value is calculated at the rate you enter. If the rate you use is optimistic, the amount needed today will be understated. Test a few rates to see how sensitive the figure is.
Frequently asked questions
What is present value?
Present value is the amount you would need today to reach a future sum, given a growth rate and a time period. It is the reverse of future value.
What is the present value of $20,000 in 10 years at 7%?
With monthly compounding, the present value is $9,951.93. The discount amount is $10,048.07, and the discount factor is 0.4976.
What is the present value of $10,000 in 5 years at 5%?
With annual compounding, the present value is $7,835.26. The future sum is discounted over five full years at 5% per year.
What is the present value of $50,000 in 20 years at 6%?
With monthly compounding, the present value is $15,104.81. A longer term reduces the amount needed today, even at the same rate.
What does the discount amount mean?
It is the difference between the future sum and its present value. It shows how much growth is expected to close the gap between today and the target date.
Is this financial advice?
No. This calculator is a calculation aid. It does not account for taxes, fees, inflation, investment risk, or your personal financial situation.
Privacy and important information
This calculator runs entirely in your browser: your numbers are never sent to a server, stored, or shared. It is a calculation aid, not financial advice — real accounts and investments vary with fees, taxes and changing rates.
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