Annuity Factor Calculator

Calculate annuity factors, capital recovery factors, present value annuity factors, and sinking fund factors for ordinary annuities and annuities due.

815.4K uses Updated · 2026-05-14 Runs locally · zero upload
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How to Use Annuity Factor Calculator

The Annuity Factor Calculator determines key financial math factors including the Annuity Factor (Capital Recovery Factor), Present Value Annuity Factor (PVIFA), Future Value Annuity Factor (FVIFA), and Sinking Fund Factor for both ordinary annuities and annuities due.

  1. Enter Interest Rate: Provide the periodic interest rate as a percentage (e.g., 5 for 5%).
  2. Specify Number of Periods: Enter the total number of payment periods (n).
  3. Select Payment Timing: Choose between ordinary annuity (end of period) and annuity due (beginning of period).
  4. Optionally Enter Amounts: Enter a principal amount or periodic payment to calculate the converted cash flow amount.
  5. View Results: The calculator displays all factors, formulas, and resulting cash flow conversions instantly.

Formula & Theory - Annuity Factor Calculator

The standard mathematical formula for the ordinary annuity factor (Capital Recovery Factor, CRF) is:

Annuity Factor (ANF / CRF) = [i × (1 + i)^n] / [(1 + i)^n - 1] = i / [1 - (1 + i)^(-n)]
Present Value Annuity Factor (PVIFA) = 1 / ANF = [(1 + i)^n - 1] / [i × (1 + i)^n]
Future Value Annuity Factor (FVIFA) = [(1 + i)^n - 1] / i
Sinking Fund Factor (SFF) = 1 / FVIFA = i / [(1 + i)^n - 1]

Where:

  • i is the periodic interest rate as a decimal.
  • n is the total number of periods.

For annuities due (beginning of period), multiply ordinary PVIFA and FVIFA by (1 + i) or divide ANF by (1 + i).

Use Cases for Annuity Factor Calculator

  • Loan & Mortgage Amortization: Determine fixed periodic loan payments from principal.
  • Capital Budgeting & Investment Appraisal: Convert initial investment outlay into equivalent annual costs (EAC).
  • Retirement Planning: Convert a retirement lump sum into a steady income stream.
  • Sinking Fund Calculations: Determine periodic savings required to reach a future financial goal.

Frequently asked questions about Annuity Factor Calculator

What is an annuity factor?

An annuity factor (also known as the capital recovery factor) is a financial multiplier that converts a present lump sum into equivalent equal periodic payments over a given term and interest rate.

What is the relationship between the annuity factor and the present value annuity factor?

The annuity factor is the exact reciprocal (1 / PVIFA) of the present value annuity factor (PVIFA).

What is the difference between ordinary annuity factors and annuity due factors?

Ordinary annuity factors apply to payments made at the end of each period, whereas annuity due factors apply to payments made at the beginning of each period.

Can I use the annuity factor to calculate loan payments?

Yes. Multiplying the loan principal by the annuity factor gives the exact equal periodic payment (principal plus interest) required to amortize the loan.

Is my data stored or sent to a server?

No. All calculations are executed entirely in your browser; no personal or financial data is ever transmitted or stored.