Annuity Payout
Estimate periodic annuity payments, present value, and future value for immediate or deferred annuities based on payout terms and interest
Formula
PMT = PV ร r / [1 - (1+r)^-n]
Calculates equal periodic payments that fully amortize a principal over n periods at interest rate r. For life annuities, insurers use mortality tables.
Worked Examples
Example 1: 20-Year Fixed Period Annuity
Problem: $500,000 premium, 4% annual rate, 20-year payout period. Calculate monthly payment and total received.
Solution: Convert to monthly terms:\nPrincipal (PV) = $500,000\nMonthly rate (r) = 4% รท 12 = 0.333%\nPayments (n) = 20 ร 12 = 240\n\nPayment formula:\nPMT = PV ร r / [1 - (1+r)^-n]\nPMT = $500,000 ร 0.00333 / [1 - (1.00333)^-240]\nPMT โ $3,029.90/month\n\nTotal received: $3,029.90 ร 240 โ $727,176\nTotal interest earned: $727,176 - $500,000 โ $227,176
Result: $3,030/month | Total received: about $727,176
Example 2: Comparing Payout Periods
Problem: $300,000 annuity at 5% rate. Compare 15-year vs 25-year payout periods.
Solution: 15-Year Payout:\nn = 180 months, r = 0.417%/month\nPMT โ $2,372.38/month\nTotal โ $427,029\nInterest โ $127,029\n\n25-Year Payout:\nn = 300 months\nPMT โ $1,753.77/month\nTotal โ $526,131\nInterest โ $226,131\n\nTrade-off: 15-year gives about $619 more per month but about $99,102 less total payout.
Result: 15yr: $2,372/mo | 25yr: $1,754/mo (+about $99K total)
Example 3: Immediate Life Annuity Estimate
Problem: 65-year-old with $400,000 wants lifetime income. Estimate using typical 5.5% payout rate for age 65.
Solution: Immediate life annuity at age 65:\nTypical payout rate: ~5.5% annually\n\nAnnual income estimate:\n$400,000 ร 5.5% = $22,000/year\n\nMonthly income:\n$22,000 รท 12 = $1,833/month\n\nIf lives to 85 (20 years):\nTotal received: $22,000 ร 20 = $440,000\n\nIf lives to 95 (30 years):\nTotal received: $22,000 ร 30 = $660,000\n\nNote: Actual rates vary by insurer, gender, and market conditions. Women typically get 5-10% lower payouts due to longer life expectancy.
Result: ~$1,833/month for life | $440K if live to 85
Frequently Asked Questions
What is an annuity?
An annuity is a contract with an insurance company where you pay a lump sum (or series of payments), and in return, they guarantee regular income payments for a set period or for life. It converts your savings into a predictable income stream, transferring longevity risk to the insurer.
What's the difference between ordinary and annuity due?
Ordinary annuity: payments at the END of each period (most common for loans). Annuity due: payments at the BEGINNING of each period (common for rent, insurance premiums). For the same principal and rate, annuity due has slightly lower per-period payments because money is received earlier.
How is annuity payout calculated?
For fixed-period annuities: PMT = PV ร r / [1 - (1+r)^-n], where PV = principal, r = periodic rate, n = periods. For lifetime annuities, insurers use mortality tables, interest assumptions, and profit margins. A 65-year-old might get 5-6% payout rate; an 75-year-old might get 7-8% because of shorter life expectancy.
What is a payout rate?
The annual payment as a percentage of the premium. A $500,000 annuity paying $30,000/year has a 6% payout rate. This is NOT the same as investment return - part of each payment is return of your own principal. Payout rates depend on age, gender (women get less due to longer lifespan), interest rates, and annuity type.
What happens to my annuity when I die?
Depends on the contract. Life-only annuity: payments stop at death (highest payout, nothing to heirs). Period-certain: pays for guaranteed period even if you die early. Life with period-certain: lifetime payments with minimum guarantee. Joint-and-survivor: continues to spouse at same or reduced rate. Each option affects your monthly payment amount.
Are annuity payments taxable?
Yes, partially. Each payment contains principal (tax-free return of your money) and earnings (taxable as ordinary income). The exclusion ratio determines the split. For qualified annuities (IRA, 401k), entire payment is taxable since contributions were pre-tax. Non-qualified annuities have more favorable tax treatment in early years.