GlenCalc

Future value calculator

Future value answers: if I invest this much now, and maybe add the same amount each period, what will I have at the end?

Regular deposits (future value) or withdrawals received (present value).

For yearly periods, the annual rate. For monthly periods, the annual rate ÷ 12.

Your answer

Future value$16,288.95
Total paid in$10,000.00
Interest earned$6,288.95

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How we worked it out

Updated as you change the numbers.

  1. FV = PV × (1 + r)ⁿ + PMT × ((1 + r)ⁿ − 1) ÷ r, with r = 0.05 and n = 10; (1 + r)ⁿ = 1.62889.

Method and assumptions

A lump sum grows to PV × (1 + r)ⁿ. A level payment each period grows to PMT × ((1 + r)ⁿ − 1) ÷ r, or that × (1 + r) when payments are made at the start of each period. The future value is the sum of the two.

Questions

What is the future value of $10,000 at 5% for 10 years?

$16,288.95 with yearly compounding.

Sources

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