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Interest Calculator

Calculate compound interest with various compounding frequencies and see your investment grow over time.

Currency
Investment Details

Initial investment amount

Nominal annual rate

1 years50 years
Compounding Frequency

Common Rates

Understanding Compound Interest

Key Concepts

  • Compound Interest: Interest calculated on initial principal and accumulated interest
  • Nominal Rate (APR): The stated annual interest rate without compounding
  • Effective Rate (APY): The actual annual return accounting for compounding
  • Rule of 72: Divide 72 by your interest rate to estimate years to double

Formula

Discrete Compounding:

A = P(1 + r/n)^(nt)

Continuous Compounding:

A = Pe^(rt)

Where: A = Amount, P = Principal, r = Rate, n = Frequency, t = Time

Compounding Frequency Impact

More frequent compounding results in higher effective returns. The difference between annual and continuous compounding grows with higher rates and longer time periods.

Annually

1x/yr

Semi-annually

2x/yr

Quarterly

4x/yr

Monthly

12x/yr

Weekly

52x/yr

Daily

365x/yr

Continuous

cont.