Return on Annuity Calculator

Calculate the future value of an annuity based on regular payments, interest rate, and time period

Input Parameters

Calculation Results

Calculation Formula

FV = P × [(1 + r/n)^(nt) - 1] / (r/n)

Where:
FV = Future Value of Annuity
P = Payment Amount
r = Annual Interest Rate
n = Number of Payments per Year
t = Number of Years

Return on Annuity Calculator Calculator Usage Guide

Learn how to use the Return on Annuity Calculator calculator and its working principles

How to Use the Calculator

  1. Enter the regular payment amount you plan to make
  2. Input the annual interest rate (APR) your investment or savings account offers
  3. Specify the number of years you plan to make payments
  4. Select how frequently you will make payments (monthly, quarterly, etc.)
  5. Click the "Calculate" button to see the future value of your annuity

Understanding the Formula

The calculator uses the future value of an ordinary annuity formula:

FV = P × [(1 + r/n)^(nt) - 1] / (r/n)

Where:

  • FV = Future Value of Annuity
  • P = Payment Amount (the fixed amount you pay each period)
  • r = Annual Interest Rate (as a decimal)
  • n = Number of Payments per Year
  • t = Number of Years

Example Usage

Suppose you want to save $500 every month for 10 years in an account that offers 4% annual interest, compounded monthly. Your future value would be approximately $73,632.86.

Important Notes

  • This calculator assumes payments are made at the end of each period
  • The interest rate should be the effective annual rate for the payment frequency selected
  • This is a simplified model and does not account for taxes, fees, or changes in interest rates