Free Online Calculator

Present Value Calculator

Find what a future sum or stream of payments is worth today.

Last updated: Free, no sign-up Private — runs in your browser

Quick answer: the present value formula

PV = FV ÷ (1 + r)^n. ₹10,00,000 received in 10 years, discounted at 8%, is worth ₹4,63,193.49 today.

Overview of the Present Value Calculator

Present value (PV) is the value today of money you will receive in the future. Because money can earn a return, a rupee in the future is worth less than a rupee now. Enter the future amount, any regular payments, the discount rate and the number of years to find the present value.

PV is used to compare investments, value annuities and pensions, and decide between a lump sum and instalments. To go forwards use the Future Value Calculator; for annuity income see the Annuity Payout Calculator.

How We Calculate

The calculator applies the standard financial formulas step by step.

  1. Convert the annual rate to a rate per period (÷ periods per year) and the years to a number of periods.
  2. Discount factor = (1 + rate per period)^−periods.
  3. Present value of the lump sum = future value × discount factor.
  4. Present value of regular payments = payment × (1 − discount factor) ÷ rate per period.
  5. Add the two for the total present value.
PV = FV ÷ (1 + r)ⁿ + PMT × (1 − (1 + r)^−n) ÷ r
Worked example — present value calculator
ItemValue
Present value of the future sum₹4,63,193.49
Present value of the payments₹0.00
Total present value₹4,63,193.49
Discount factor0.463193
Present value of ₹10,00,000
CasePresent value
₹10,00,000 in 10 years at 6%₹5,58,394.78
₹10,00,000 in 10 years at 8%₹4,63,193.49
₹10,00,000 in 10 years at 10%₹3,85,543.29
₹10,00,000 in 20 years at 8%₹2,14,548.21
₹10,00,000 in 5 years at 8%₹6,80,583.20

Present Value Calculator — Frequently Asked Questions

What is present value?

The current worth of a future sum of money, given a specified rate of return (the discount rate).

What is the present value formula?

PV = FV ÷ (1 + r)^n for a single sum; add PMT × (1 − (1 + r)^−n) ÷ r for regular payments.

What discount rate should I use?

The return you could earn on a similar-risk alternative; a higher rate gives a lower present value.

Why is present value lower than future value?

Because money received later cannot be invested in the meantime, so it is worth less today.

How do I compare a lump sum with instalments?

Calculate the present value of the instalments and compare it with the lump sum.

What is the difference between PV and NPV?

NPV is the present value of all inflows minus the initial outflow; PV is just the value of the inflows.

How is the present value calculator calculated?

It uses the standard formula: PV = FV ÷ (1 + r)ⁿ + PMT × (1 − (1 + r)^−n) ÷ r The full method and a worked example are shown on this page.

Is this financial advice?

No. The calculator gives estimates for planning and learning. Real offers vary by lender, product and date, so confirm the details with your bank, lender or a qualified adviser before deciding.

Can I use another currency?

Yes. The maths is identical in any currency; only the currency symbol shown in the results differs.

Is my data stored?

No. Everything is calculated in your browser and nothing you enter is uploaded or saved.

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