HesapHanem

Future Value of a Lump Sum Calculator

See what a lump sum becomes after years of compounding.

Result

$17,908.48
$7,908.48
1.79x

How it is calculated

The tool applies annual compounding: FV = P × (1 + r/100)n, where P is the one-time amount invested, r is the annual rate as a percentage (6 means 6%) and n is the number of years. Interest earned is FV − P, and the growth multiple is FV ÷ P, shown with an x. Interest is added once a year, not monthly or daily, so a rate that compounds more often will end higher than this result. Years may be fractional (10.5 works). The principal and the years cannot be negative; the rate can be negative to model a yearly loss. No fees, taxes or inflation are applied, and no further deposits are made after the first.

Worked example

You invest $10,000 once at 6% a year for 10 years. The yearly growth factor is 1.06. Raised to the 10th power, 1.0610 = 1.79085. Future value = 10,000 × 1.79085 = $17,908.48. Interest earned = 17,908.48 − 10,000 = $7,908.48, and the multiple is 1.79x. Simple interest would give only 10,000 × 0.06 × 10 = $6,000 of interest, so compounding adds about $1,908 more over the decade.

Try this example →

Common mistakes

  • Typing the rate as a decimal. Enter 6 for 6%; typing 0.06 treats it as 0.06% and the money barely grows.
  • Using months for the time. The exponent is in years, so 18 months must be entered as 1.5, not 18.
  • Expecting this result to include monthly additions. It is a single lump sum, so regular contributions need a different tool.
  • Treating the dollar result as buying power. Inflation reduces what the future amount can buy, and the tool does not adjust for it.
  • Comparing it with an account that compounds monthly using the same stated rate. This tool compounds once a year, so a monthly-compounding account at 6% would end somewhat higher.

Sources

About this calculator

The future value of a lump sum uses the standard compound interest formula, FV = PV × (1 + r)^n, where a one-time investment (PV) grows at a fixed annual rate (r) compounded over a number of years (n) — the same formula behind virtually every long-term investment growth projection.

Because compounding means each year’s growth is calculated on an ever-larger balance, the gap between simple and compound growth widens dramatically over longer time horizons. Starting amount, annual rate and number of years are enough to see what a single deposit grows to by the end, with nothing added along the way.

Was this helpful?

You can pick up to 3 reactions.

Comments (1)

  • Editorial team

    A quick way to sanity-check the result is the rule of 72: at 6 percent a sum doubles in roughly 12 years. The tool agrees, showing 20,121.96 for 10,000 after 12 years at 6, a 2.01x multiple. The rate field also accepts negatives, so you can model a steady yearly loss: 10,000 at −3 for 5 years ends at 8,587.34. Is there a goal date you are trying to reach, and what starting amount would you try?

Popular calculators

Loan Calculator

Monthly payment, total interest and full amortization schedule.

Percentage Calculator

Percent change, percent of, and ratio calculations.

Discount Calculator

Calculate final price, savings, and discount amount.

BMI Calculator

Body mass index from height and weight (metric or imperial).

Age Calculator

Compute your exact age in years, months and days from a birth date.

Compound Interest Calculator

Calculate the final amount and interest earned with compounding.

All Calculators