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Annuity Calculator

An annuity is a stream of equal payments made at regular intervals, such as a pension or an instalment plan.

Calculated Result
$163,879.35$

Future Value

Future Value

$163,879.35

Present Value

$90,073.45

Total Contributions

$120,000.00

Total Interest

$43,879.35

$163,879.35 — Future value

Calculation Breakdown

  1. Future valueFV = PMT × ((1 + r)ⁿ − 1) / rFV=PMT⋅(1+r)n−1rFV = PMT \cdot \frac{(1+r)^n - 1}{r}
  2. Present valuePV = PMT × (1 − (1 + r)⁻ⁿ) / rPV=PMT⋅1−(1+r)−nrPV = PMT \cdot \frac{1 - (1+r)^{-n}}{r}

What Is the Annuity Calculator?

An annuity calculator values a stream of equal periodic payments.

How Does the Annuity Calculator Work?

It compounds each payment forward for future value or discounts it back for present value.

Annuity Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

FV=PMT⋅(1+r)n−1rFV = PMT \cdot \frac{(1+r)^n - 1}{r}

Each payment earns interest for the remaining periods; the sum of those values gives the future value.

How to Use the Annuity Calculator

  1. Enter the payment, rate, term and payment frequency.

Step-by-Step Example Calculation

$1,000/year for 10 years at 6%

Input Values:

payment:1000
annualRate:6
years:10
paymentsPerYear:1
annuityType:ordinary
Worked Steps: The stream grows to about $13,181.

Understanding Your Result

The result shows both the future and present value of the stream.

Factors That Affect the Result

  • Payment size, rate, term and timing determine the value.

When Should You Use This Calculator?

  • Use it for pensions, loans, leases and instalment plans.

Assumptions & Limitations

  • Assumes level payments and a constant interest rate.

Frequently Asked Questions

Calculation Accuracy & Reference Note

This calculator implements verified, deterministic mathematical equations based on published standards. Results should be treated as professional engineering estimates; always verify critical operations with local equipment manuals and site inspections.

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