Annuity Calculator

About the Annuity Calculator

An annuity calculator computes the periodic payment, total payout, and full amortization schedule for any annuity — a series of equal payments made at regular intervals. Annuities are the mathematical foundation of mortgages, car loans, leases, bond payments, pension income streams, and structured retirement withdrawals. Understanding how to calculate annuity payments is essential for evaluating any fixed-payment financial product. There are two main types: an ordinary annuity (payments at the end of each period, used for most loans and bonds) and an annuity-due (payments at the beginning of each period, used for leases and rent). Our free annuity calculator handles both types and works for any combination of present value, interest rate, and number of periods. Enter the present value (lump sum), annual interest rate, and number of monthly periods, and the calculator instantly shows your monthly payment, total amount paid, total interest cost, and a period-by-period schedule showing how each payment is divided between interest and principal reduction. Use it to price retirement income streams, evaluate insurance company annuity quotes, calculate lease payments, or understand any fixed-payment financial commitment.

How It Works

Ordinary annuity payment formula: PMT = PV x [r(1+r)^n] / [(1+r)^n - 1], where PV is present value, r is the periodic interest rate (annual rate / 12 for monthly), and n is total periods. Annuity-due payment = Ordinary PMT / (1 + r) — slightly smaller because each payment earns one extra period of interest. Example: $200,000 present value, 5% annual rate, 120 monthly periods (10 years). Monthly r = 0.05/12 = 0.004167. PMT = $200,000 x [0.004167 x (1.004167)^120] / [(1.004167)^120 - 1] = $200,000 x [0.004167 x 1.6470] / [1.6470 - 1] = $200,000 x 0.006861 / 0.6470 = $2,122/month. Total paid = $2,122 x 120 = $254,640. Total interest = $54,640. The first payment: interest = $200,000 x 0.004167 = $833; principal = $2,122 - $833 = $1,289. The last payment: interest = tiny fraction; almost entirely principal. This amortization profile — front-loaded interest — applies to all standard loans and annuities.

Tips & Best Practices

• ✓The annuity formula and the mortgage formula are identical — every fixed-payment loan is mathematically an ordinary annuity. Understanding one is understanding both.
• ✓Insurance company annuity rates are expressed as a payment per $100,000 of premium. Compare these quotes to the annuity calculator: if an insurer offers $550/month per $100,000 for a 20-year period, calculate what rate that implies and compare to current interest rate environment.
• ✓Immediate versus deferred annuities: immediate annuities begin paying right away (ordinary or annuity-due); deferred annuities accumulate value first and begin payments later. The deferral period growth can significantly increase the eventual payment amount.
• ✓Variable annuity fees are substantial: mortality and expense charges of 1.25-1.5%, fund expense ratios of 0.5-1.5%, and rider fees of 0.5-1.5% can total 3-4.5% annually — dramatically reducing your effective return and requiring significantly higher gross returns to justify the structure.
• ✓Present value of your pension: if your employer offers a lump sum pension buyout, use the annuity calculator in reverse — enter your monthly pension, the discount rate, and number of expected payment periods to find the present value of the pension stream. Compare to the offered lump sum.
• ✓Annuity certain versus lifetime annuity: an annuity certain pays for a fixed number of periods regardless of death. A lifetime annuity pays until death. Lifetime annuities are more valuable the longer you live, making them ideal longevity insurance for healthy individuals.
• ✓For retirement income planning, an annuity covering your essential fixed expenses — housing, food, healthcare — combined with more flexible investments for discretionary spending creates a secure income floor strategy.

Who Uses This Calculator

Retirees evaluating insurance company annuity purchase quotes for guaranteed income. Workers calculating the present value of their pension benefit stream. Borrowers understanding how loan payments are divided between interest and principal over time. Lessees computing monthly lease payments and total lease cost. Financial advisors modeling retirement income streams for clients.