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Present and Future Value Calculator

Calculate the future value of money today, or the present value of future money, with optional regular payments.

Result

Enter your values and select Calculate to see the result.

Runs in your browser — nothing you enter is sent to a server.

How the Present and Future Value Calculator works

Money today is worth more than the same money later, because it can earn a return. Choose future value to see what an amount (and optional regular payments) grows to, or present value to see what a future amount (and a series of payments) is worth today at a given rate. Payments are made at the end of each period.

Formulas

Future value

FV = PV(1 + r)N + PMT × ((1 + r)N − 1) ÷ r

r is the rate per period (yearly rate ÷ periods per year) and N the number of periods.

Present value

PV = FV ÷ (1 + r)N + PMT × (1 − (1 + r)−N) ÷ r

Examples

A lump sum

1,000 at 5% a year for 10 years, compounded yearly, grows to 1,628.89.

An annuity's value today

Receiving 1,000 a year for 20 years is worth 12,462.21 today at a 5% yearly rate. And 100 a month for a year at 6% grows to 1,233.56.

Frequently asked questions

What rate should I use?

For growth, an expected return. For present value, a discount rate — the return you could earn elsewhere at similar risk, or inflation to see today's purchasing power.

How is this different from the Compound Interest Calculator?

The Compound Interest Calculator grows savings forward. This tool also works backwards (present value), which is how pensions, lottery payouts and investments are compared.

Can the rate be negative?

Yes, down to −99%, for example to model a shrinking value. This isn't financial advice.

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