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Free Present Value Calculator

Find out what a future sum of money is worth today. Enter the future value, an annual discount rate and the number of years, and this calculator returns the present value plus the total discount applied — instantly, in your browser.

Present value (today)
$6,139.13
Future value
$10,000.00
Total discount (FV − PV)
$3,860.87
Discount factor (1 + r)^N
1.628895

PV = FV ÷ (1 + r)^N. Informational estimate only — not financial advice.

Estimate only. This calculator provides estimates based on the values you enter and the formula shown. It is not financial advice and may not reflect every fee, tax, or lender requirement. Check figures with a qualified professional before making financial decisions.

Quick answer

The present value of a single future sum is PV = FV ÷ (1 + r)^N, where FV is the future amount, r is the annual discount rate as a decimal, and N is the number of years. For example, $10,000 received in 10 years discounted at 5% is worth 10,000 ÷ 1.05^10 ≈ $6,139.13 today. The remaining $3,860.87 is the time value of money — the discount for waiting.

Formula & method

The calculator applies the standard single-sum present value formula PV = FV ÷ (1 + r)^N. It reads the future value (FV), converts the annual discount rate percentage to a decimal (r = rate ÷ 100), raises 1 + r to the power of the number of periods N, and divides the future value by that growth factor. The result is the amount you would need today, growing at rate r, to reach FV after N years. The tool also reports the total discount (FV − PV), which is the time value of money. A 0% rate returns PV equal to FV. All math runs locally in your browser.

Examples

Example 1: $10,000 in 10 years at 5%
Input
FV = $10,000, rate = 5%, N = 10 years
Result
PV ≈ $6,139.13 (discount $3,860.87)
Why
PV = 10,000 ÷ 1.05^10. Since 1.05^10 = 1.6288946, PV = 10,000 ÷ 1.6288946 = $6,139.13. The total discount is 10,000 − 6,139.13 = $3,860.87.
Example 2: $5,000 in 5 years at 8%
Input
FV = $5,000, rate = 8%, N = 5 years
Result
PV ≈ $3,402.92 (discount $1,597.08)
Why
PV = 5,000 ÷ 1.08^5. With 1.08^5 = 1.4693281, PV = 5,000 ÷ 1.4693281 = $3,402.92. The discount for waiting 5 years is $1,597.08.
Example 3: $25,000 in 20 years at 6%
Input
FV = $25,000, rate = 6%, N = 20 years
Result
PV ≈ $7,795.12 (discount $17,204.88)
Why
PV = 25,000 ÷ 1.06^20. Because 1.06^20 = 3.2071355, PV = 25,000 ÷ 3.2071355 = $7,795.12. Over 20 years the discount grows to $17,204.88 — far more than the present value itself.
Example 4: 0% discount rate
Input
FV = $1,000, rate = 0%, N = 5 years
Result
PV = $1,000.00 (discount $0.00)
Why
With a 0% rate the growth factor is 1.00^5 = 1, so PV = 1,000 ÷ 1 = $1,000. Money that earns nothing is worth the same today as in the future, so there is no discount.

When to use this tool

  • Deciding whether a future payout (a bond, settlement, or pension lump sum) is worth a given price today.
  • Comparing money available at different points in time on an apples-to-apples basis.
  • Checking the fair value of a single future cash flow when evaluating an investment or loan.
  • Understanding the time value of money — how much a promised future amount is really worth now.
  • Estimating how much to invest today to reach a known future target at an assumed rate of return.

Common mistakes

  • Entering the discount rate as a decimal instead of a percent. Type 5 for 5%, not 0.05 — the calculator divides by 100 for you.
  • Confusing present value with future value. Present value discounts a future amount back to today; future value grows a present amount forward. They are inverse operations.
  • Using a monthly rate with a yearly period count (or vice versa). Keep the rate and the number of periods on the same time scale — this tool uses an annual rate and a number of years.
  • Assuming the discount rate is the same as inflation. The discount rate reflects your required return or opportunity cost, which is usually higher than inflation alone.
  • Forgetting that present value is highly sensitive to the rate. A small change in the discount rate can move the present value substantially, especially over long horizons.

Frequently asked questions

What is present value?

Present value (PV) is what a future sum of money is worth in today's dollars, after discounting for the time value of money. Because money can earn a return over time, a dollar received in the future is worth less than a dollar today. PV converts the future amount back to its equivalent value now.

What is the present value formula?

For a single future sum it is PV = FV ÷ (1 + r)^N, where FV is the future value, r is the discount rate per period (as a decimal), and N is the number of periods. This calculator uses an annual rate and a number of years.

What discount rate should I use?

The discount rate reflects your required rate of return or opportunity cost of capital — what you could otherwise earn on the money. Investors often use an expected market return, a bond yield, or a risk-adjusted rate. There is no single 'correct' rate; it depends on risk and your alternatives.

How is present value different from future value?

They are inverses. Future value grows a present amount forward in time (FV = PV × (1 + r)^N), while present value discounts a future amount back to today (PV = FV ÷ (1 + r)^N). Rearranging one formula gives the other.

Why does a higher discount rate lower the present value?

A higher rate means money can grow faster, so you need less today to reach the same future amount. Mathematically, a larger r makes the denominator (1 + r)^N bigger, which shrinks PV. Present value is especially sensitive to the rate over long time horizons.

Does this calculator handle a 0% discount rate?

Yes. With a 0% rate the growth factor is 1, so the present value simply equals the future value and the discount is zero. This reflects that money earning no return is worth the same now as later.

Is the present value the same as the amount I should pay?

Present value tells you a fair value based on your chosen rate, but the price you should pay also depends on risk, certainty of the future payment, taxes, and your alternatives. Treat PV as one input to a decision, not financial advice.

Sources & references

External references open in a new tab. We are independent and not affiliated with these organizations.

Disclaimer

This calculator provides estimates based on the values you enter and the formula shown. It is not financial advice and may not reflect every fee, tax, or lender requirement. Check figures with a qualified professional before making financial decisions.

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  • ✓ Runs entirely in your browser — nothing is uploaded.
  • ✓ Formula and method shown above
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Provided “as is” for general information only — results may be inaccurate, so verify before you rely on them. No warranty; use at your own risk.

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