Annuity Calculator
Calculate present value, future value, or payments for annuities
Calculate how much your periodic payments will grow to.
Future Value Formula
FV = PMT × ((1+r)ⁿ - 1) / r
Present Value Formula
PV = PMT × (1 - (1+r)⁻ⁿ) / r
How to Use This Annuity Calculator
- Choose your calculation type: Future Value, Present Value, or Payment
- Enter the periodic payment amount you'll make or receive
- Input the annual interest rate (or discount rate for present value)
- Specify the number of periods and payment frequency
- Select annuity type: Ordinary (end of period) or Due (beginning of period)
- Click Calculate to see your results
Example: Investing $500 monthly at 6% annual return for 20 years (ordinary annuity) grows to $231,020. The same payments as an annuity due grow to $232,176 - the extra $1,156 comes from each payment having one more month to earn interest.
Tip: For savings goals, calculate the required payment. For retirement income, calculate present value to know how much you need saved. For loan payments, calculate the payment needed to pay off a present value.
Why Use a Annuity Calculator?
Annuity calculations are fundamental to retirement planning, loan analysis, and any scenario involving regular payments over time.
- Calculate how much regular 401(k) contributions will grow by retirement
- Determine the lump sum needed to generate specific retirement income
- Find the monthly payment required to pay off a loan
- Compare investment options with different payment structures
- Evaluate pension buyout offers against continued payments
- Plan for education savings with regular contributions
Understanding Your Results
Understanding annuity values helps you make informed decisions about savings, retirement, and loans.
| Result | Meaning | Action |
|---|---|---|
| FV > 3x total contributions | Strong compound growth | Long time horizon or high returns are working in your favor |
| FV = 1.5-3x contributions | Moderate growth | Consider longer term or higher contributions for bigger impact |
| PV = 10-15x annual payment | Standard retirement multiplier | Sustainable withdrawal rate for 25-30 year retirement |
| Payment > 8% of PV annually | High withdrawal rate | May deplete funds too quickly; consider reducing payments |
Meaning: Strong compound growth
Action: Long time horizon or high returns are working in your favor
Meaning: Moderate growth
Action: Consider longer term or higher contributions for bigger impact
Meaning: Standard retirement multiplier
Action: Sustainable withdrawal rate for 25-30 year retirement
Meaning: High withdrawal rate
Action: May deplete funds too quickly; consider reducing payments
Note: The difference between ordinary annuity and annuity due grows more significant with higher interest rates and longer time periods.
About Annuity Calculator
Formula
FV = PMT × ((1+r)^n - 1) / r | PV = PMT × (1 - (1+r)^-n) / r For future value, the formula calculates compound growth of each payment. For present value, it discounts each future payment to today's dollars. When payments occur at period start (annuity due), multiply results by (1+r).
Current Standards: Ordinary annuities (payment at period end) are standard for loans. Annuities due (payment at period start) apply to rent, insurance premiums, and lease payments.
Frequently Asked Questions
What's the difference between ordinary annuity and annuity due?
Ordinary annuities have payments at the end of each period (like most loan payments). Annuities due have payments at the beginning (like rent). An annuity due is worth (1+r) times more than an ordinary annuity because each payment has one additional period to grow or is discounted one less period.
How do I use this for retirement planning?
To find how much your savings will grow, use Future Value with your contribution as payment. To find how much you need saved for retirement income, use Present Value with your desired withdrawal as payment. To find the savings needed for a goal, use Payment with your target as future value.
What interest rate should I use?
For savings projections, use your expected investment return (historically 7-10% for stocks, 4-5% for bonds). For retirement income planning, use a conservative rate (3-5%) to ensure funds last. For loan calculations, use the stated loan interest rate.
How does payment frequency affect results?
More frequent payments grow faster because earnings compound more often. $6,000/year contributed monthly grows more than $6,000 contributed annually at the same rate. The effect is modest but meaningful over long periods - about 0.5-1% additional annual return equivalent.
Can I account for increasing payments?
This calculator assumes fixed payments. For growing payments (like salary-linked contributions), you'd need a growing annuity calculation. As a rough estimate, if payments grow 3% annually, final value is typically 30-50% higher than with fixed payments.