Annuity Calculator
Calculate annuity payments, future value, and present value. Supports ordinary annuity and annuity due. Free retirement and investment annuity calculator.
What Is an Annuity?
An annuity is a series of equal payments made at regular intervals over time. In finance, annuities appear in two major contexts:
- Retirement annuities: Insurance products that pay a steady income stream during retirement. You pay a lump sum (or series of premiums) and receive guaranteed monthly payments for life or a fixed term.
- Time value of money calculations: Any series of equal periodic payments — mortgage payments, car loans, savings contributions, lease payments — follows annuity mathematics.
There are two types based on timing:
- Ordinary Annuity: Payments occur at the end of each period. Most loans and mortgages work this way.
- Annuity Due: Payments occur at the beginning of each period. Leases and insurance premiums often work this way. An annuity due is slightly more valuable (future value) or more expensive (present value) than an ordinary annuity because payments come earlier.
Annuity Formulas Explained
The core annuity formulas use the periodic interest rate r (annual rate ÷ payments per year) and the number of periods n:
Future Value of Ordinary Annuity
FV = PMT × [(1 + r)ⁿ − 1] / r
Example: $500/month for 10 years at 6% annual interest (monthly compounding):
- r = 6% / 12 = 0.5% = 0.005
- n = 10 × 12 = 120 periods
- FV = 500 × [(1.005)¹²⁰ − 1] / 0.005 = 500 × [1.8194 − 1] / 0.005 = 500 × 163.88 = $81,940
Present Value of Ordinary Annuity
PV = PMT × [1 − (1 + r)⁻ⁿ] / r
Example: How much is a $2,000/month annuity for 20 years worth today at 5% annual rate?
- r = 5% / 12 = 0.4167%
- n = 20 × 12 = 240
- PV = 2,000 × [1 − (1.004167)⁻²⁴⁰] / 0.004167 = 2,000 × 151.53 = $303,060
Annuity Due Adjustment
Multiply either formula result by (1 + r) for annuity due.
Types of Annuity Products
Insurance-company annuities come in several varieties, each suited to different needs:
| Type | How It Works | Risk/Reward |
|---|---|---|
| Fixed Annuity | Insurance company guarantees a fixed interest rate and payment amount. | Low risk, predictable; returns typically 2–5% |
| Variable Annuity | Payments vary based on underlying investment sub-accounts (like mutual funds). | Higher potential return, higher risk; market-linked |
| Fixed Indexed Annuity (FIA) | Returns linked to a market index (e.g., S&P 500) with a floor (no loss) and cap (limited upside). | Middle ground: downside protection, some upside participation |
| Immediate Annuity (SPIA) | Pay lump sum, immediately start receiving monthly payments. Suitable for retirees. | Converts savings to income; no investment risk but no liquidity |
| Deferred Annuity | Accumulate money tax-deferred over years, then convert to payout phase later. | Tax-deferred growth; penalties for early withdrawal |
| Lifetime Annuity | Payments continue for life regardless of how long you live. | Best insurance against longevity risk (outliving your money) |
Annuity vs. Lump Sum: Which Is Better?
Lottery winners, pension recipients, and inheritance beneficiaries often face the annuity vs. lump sum decision. Key factors:
- Discount rate matters enormously: If you can invest a lump sum and earn more than the annuity's implied interest rate, take the lump sum. If the annuity offers a higher effective rate than you could earn, take the annuity.
- Tax treatment: Lottery lump sums are immediately taxable at full ordinary income tax rates. Annuity payments spread taxes over time, potentially keeping you in lower brackets. Pension annuities may be partially or fully taxable depending on contributions.
- Longevity risk: If you live much longer than expected, a lifetime annuity wins because it keeps paying. A lump sum can run out. If you have health concerns, a lump sum may be better.
- Inflation: Most fixed annuities do not adjust for inflation. Over 20–30 years, a $3,000/month payment loses significant purchasing power. Some annuities offer COLA (cost-of-living adjustments) but at reduced initial payment amounts.
- Lump sum rule of thumb: Multiply the annuity payment by 200× to estimate its value. If the lump sum offered is significantly below this, the annuity is likely better value.
Social Security as an Annuity
Social Security retirement benefits function as an inflation-adjusted lifetime annuity — arguably the most valuable annuity most Americans will ever receive:
- Inflation-adjusted: Benefits increase with COLA (Cost of Living Adjustment) each year, protecting against inflation — something most commercial annuities do not offer.
- Lifetime payments: Payments continue as long as you (and potentially your spouse via survivor benefits) live.
- Implicit annuity value: A $2,000/month Social Security benefit, growing with inflation for life, has a present value of approximately $300,000–$500,000 depending on age and discount rate.
- Delaying increases value: Every year you delay claiming Social Security (up to age 70) increases benefits by approximately 8%. This is a guaranteed 8% return — extraordinary compared to commercial alternatives.
Annuity Fees, Surrender Charges, and Riders
Commercial annuities often come with significant costs that reduce net returns:
- Mortality and expense (M&E) fees: Variable annuities typically charge 1.25–1.5%/year, significantly eroding returns over time.
- Investment management fees: Sub-account fees in variable annuities add another 0.5–1.5%/year on top of M&E.
- Surrender charges: Early withdrawal penalties (typically 7–10 years of declining charges, starting at 7–10%) trap money in the product. Surrendering early can cost thousands.
- Rider costs: Optional features like GLWB (Guaranteed Lifetime Withdrawal Benefit) or death benefit riders add 0.5–1.5%/year. Evaluate whether the rider's benefit exceeds its cost.
- All-in cost comparison: A variable annuity with 1.25% M&E + 1% fund fees + 0.75% GLWB rider = 3% annual drag. A low-cost index fund charging 0.05% leaves 2.95% more per year compounding in your account.
Frequently Asked Questions
What is a good annuity rate?
A good annuity rate depends on current interest rates. In 2024–2025, fixed annuity rates range from 4–6% annually — the highest in over a decade. Compare annuity payout rates to: (1) current 10-year Treasury yield, (2) high-yield savings rates, and (3) your expected investment return. A fixed annuity paying 5.5% when Treasuries yield 4.5% is reasonably attractive.
How much does a $100,000 annuity pay per month?
A $100,000 single premium immediate annuity (SPIA) for a 65-year-old typically pays approximately $550–$650/month for life (varies by company, age, and interest rates as of 2024). For a fixed period of 20 years (not lifetime), the monthly payout would be approximately $550–$600/month at current rates.
Is an annuity a good investment?
Annuities are effective for specific goals: guaranteed lifetime income, longevity protection, and tax-deferred growth. They are generally poor as pure investment vehicles due to high fees, surrender charges, and limited liquidity. Use annuities to cover essential expenses in retirement (alongside Social Security), not as the primary growth engine of your portfolio.
What is the present value of an annuity?
Present value (PV) is what a series of future payments is worth in today's dollars. If you will receive $1,000/month for 10 years and the discount rate is 5%, the present value is approximately $94,300 — the lump sum you would need today to replicate those payments at that interest rate.
What is the difference between an annuity and life insurance?
Life insurance pays a death benefit when you die (protecting against dying too soon). An annuity pays while you live (protecting against living too long and outliving your money). Both are insurance products issued by life insurance companies, but they solve opposite problems. Some products blend both (variable universal life, annuity death benefit riders).
Can you lose money in an annuity?
In a fixed annuity: No, if the insurer remains solvent (state guaranty associations typically protect up to $250K). In a variable annuity: Yes, if the sub-accounts (mutual fund equivalents) decline in value. In a fixed indexed annuity: Generally no on principal, but you may earn 0% in a bad year due to the floor.
What is a GLWB rider on an annuity?
A Guaranteed Lifetime Withdrawal Benefit (GLWB) rider allows you to withdraw a set percentage (typically 4–6%) of a guaranteed base amount annually for life, even if the account value drops to zero. It provides income protection while maintaining investment exposure. GLWB riders typically cost 0.5–1.5%/year — valuable if you fear outliving your assets, but expensive for those who don't need the guarantee.
How are annuity payments taxed?
Taxation depends on how the annuity was funded. If purchased with after-tax money (non-qualified), only the earnings portion of each payment is taxable (the "exclusion ratio" determines what portion is return of principal). If purchased with pre-tax money in an IRA or 403(b) (qualified), all payments are fully taxable as ordinary income. Annuities do NOT benefit from preferential capital gains rates.
What is the rule of 72 for annuities?
The rule of 72 is a quick doubling time estimate: divide 72 by the interest rate to find years to double. At 6% interest, money doubles in 72/6 = 12 years. For annuity accumulation, this helps estimate how your contributions grow. A $50,000 annuity at 6% grows to ~$100,000 in 12 years (without additional contributions).
Can I cash out an annuity early?
Yes, but with costs. Surrender charges (typically 7–10% declining over 7–10 years) apply to early withdrawals. Additionally, if under age 59½, the IRS charges a 10% early withdrawal penalty on gains, plus ordinary income tax on those gains. Most annuities allow 10% free withdrawals annually without surrender charges. Early surrender of a new annuity can result in losing 7–15% immediately.