Compound interest (future value)

Given principal, nominal/effective rate, compounding frequency, and elapsed years, compute future value and schedule.

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Calculation specification

Reviewed on:

Formula basis

For nominal annual rate r, the periodic rate is i=r/k; for effective annual rate R, i=(1+R)^(1/k)−1. With p=n×k, q=floor(p), and f=p−q, the q whole periods are calculated with (1+i)^q and the fractional period separately with (1+i)^f.

Calculation method

Calculates compound future value and each compounding-period balance from principal, rate type, compounding frequency, and years.

Exclusions and checks required

  • Rate and frequency are constant; tax, fees, and interim cash flows are excluded.
  • When years times periods per year is fractional, the fractional period is calculated separately; display precision affects shown results.

Example input:：JPY 1 million at 5% nominal, compounded monthly for 10 years

annualRate
5
compoundRateType
nominal
principal
1000000
years
10
periodsPerYear
12
digits
10

This constant-rate mathematical value is not a forecast.

FAQ

Who is this calculator for? Compound interest (future value)

Given principal, nominal/effective rate, compounding frequency, and elapsed years, compute future value and schedule.

What values should I enter?

Applies to: Compound interest / FV = PV × (1+r/k)^(n×k) ; for effective annual, FV = PV × (1+R)^n

How should I interpret this estimate?

Calculates compound future value and each compounding-period balance from principal, rate type, compounding frequency, and years.

How to use

  1. Enter your input values and press Calculate.
  2. Review the result and compare it with expected context.
  3. For nominal annual rate r, the periodic rate is i=r/k; for effective annual rate R, i=(1+R)^(1/k)−1. With p=n×k, q=floor(p), and f=p−q, the q whole periods are calculated with (1+i)^q and the fractional period separately with (1+i)^f.