Future value
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From the lump sum–
From payments–
Total paid in–
Total interest–

Future value formula

FV = PV(1 + r)n + PMT × [(1 + r)n − 1] ÷ r

r = annual rate ÷ periods per year, n = years × periods per year. Set the payment to 0 for a single lump sum.

Example

$5,000 today plus $100 a month at 6% compounded monthly for 10 years:

  • Lump sum grows to $5,000 × 1.005¹²⁰ ≈ $9,097
  • Payments grow to $100 × (1.005¹²⁰ − 1) ÷ 0.005 ≈ $16,388
  • Future value ≈ $25,485

Uses for time value of money

  • Compare taking a lump sum now against payments later.
  • Figure out how much to set aside today for a future cost, like tuition.
  • Check what a savings plan will be worth at a target date.

For a detailed year-by-year view, use the investment calculator. To find the annual growth rate between two values, use the CAGR calculator.

Last reviewed October 2026.

Frequently asked questions

What is future value?

Future value (FV) is what a sum of money, or a series of payments, will be worth at a later date after earning interest. It answers questions like "what will $5,000 be worth in 10 years at 6%?"

What is present value?

Present value (PV) works backwards: how much you would need today to reach a target amount in the future at a given rate. Switch the calculator to "Present value" to find it.

What is the difference between an ordinary annuity and an annuity due?

In an ordinary annuity, payments happen at the end of each period, like most loan payments. In an annuity due, payments happen at the start, like rent. Payments at the start earn one extra period of interest.

Why does compounding frequency matter?

More frequent compounding adds interest to the balance sooner, so it starts earning interest itself. The effect is modest: $10,000 at 6% for 10 years grows to $17,908 with annual compounding and $18,194 with monthly.

What formula does this use?

FV = PV × (1 + r)ⁿ + PMT × ((1 + r)ⁿ − 1) ÷ r, where r is the rate per period and n the number of periods. For payments at the start of each period, the payment part is multiplied by (1 + r).