Compound rate

Find nominal and effective annual rates from principal, future value, and elapsed years.

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Calculation specification

Reviewed on:

Formula basis

Periodic rate i=(FV/PV)^(1/(n×k))−1, nominal annual rate=k×i, and effective annual rate=(1+i)^k−1.

Calculation method

Derives nominal and effective annual rates from principal, future value, years, and compounding frequency.

Exclusions and checks required

  • Principal, future value, and years must be positive, with no intervening cash flows.
  • Tax, fees, and volatility are excluded, and a rate inferred between two values does not predict future return.

Example input:：Rate for JPY 1 million to become JPY 1.5 million in 10 years

principal
1000000
futureValue
1500000
years
10
periodsPerYear
12
digits
10

The rate assumes constant compounding without cash flows.

FAQ

Who is this calculator for? Compound rate

Find nominal and effective annual rates from principal, future value, and elapsed years.

What values should I enter?

Applies to: Compound interest / r = k × {(FV/PV)^(1/(n×k)) − 1}, R = (FV/PV)^(1/n) − 1

How should I interpret this estimate?

Derives nominal and effective annual rates from principal, future value, years, and compounding frequency.

How to use

  1. Enter your input values and press Calculate.
  2. Review the result and compare it with expected context.
  3. Periodic rate i=(FV/PV)^(1/(n×k))−1, nominal annual rate=k×i, and effective annual rate=(1+i)^k−1.