Dated assumptions · transparent formulas
Future Value of Annuity Calculator
Set the starting balance to zero to isolate an annuity, switch between end-of-period and beginning-of-period payments, or enter annual payment growth.
Educational calculator. Inputs stay in your browser. Historical ranges are not forecasts or investment advice.
Inputs
Estimate comparison
| Assumption | Rate | Nominal FV | Real FV |
|---|---|---|---|
| Lower estimate1-year Treasury constant maturity | 4.28% | $37,361.10 | Not requested |
| Middle estimateS&P 500 rolling 30-year total-return median | 10.80% | $53,624.67 | Not requested |
| Higher estimateS&P 500 rolling 30-year total-return 75th percentile | 12.04% | $57,644.94 | Not requested |
Growth curve and yearly schedule
The same projection engine draws each estimate and feeds the collapsible year-by-year detail.
- Lower estimate
- Middle estimate
- Higher estimate
Show year-by-year detail
| Year | Opening | Deposits | Interest | Ending |
|---|---|---|---|---|
| 1 | $0.00 | $3,000.00 | $153.05 | $3,153.05 |
| 2 | $3,153.05 | $3,000.00 | $510.95 | $6,663.99 |
| 3 | $6,663.99 | $3,000.00 | $909.47 | $10,573.47 |
| 4 | $10,573.47 | $3,000.00 | $1,353.24 | $14,926.71 |
| 5 | $14,926.71 | $3,000.00 | $1,847.37 | $19,774.08 |
| 6 | $19,774.08 | $3,000.00 | $2,397.60 | $25,171.67 |
| 7 | $25,171.67 | $3,000.00 | $3,010.28 | $31,181.95 |
| 8 | $31,181.95 | $3,000.00 | $3,692.50 | $37,874.45 |
| 9 | $37,874.45 | $3,000.00 | $4,452.16 | $45,326.61 |
| 10 | $45,326.61 | $3,000.00 | $5,298.06 | $53,624.67 |
Rate assumptions and sources
Lower / Middle / Higher estimates · reviewed 2026-09-12
- Lower estimate
4.28%
- FRED: 1-Year Treasury Constant Maturity Rate (DGS1)
Retrieved 2026-09-12 · observation 2026-09-10
Dated benchmark snapshot.
- Middle estimate
10.80%
- Damodaran historical returns, 1928-2025
Retrieved 2026-09-12
Median of 69 overlapping 30-year S&P 500 total-return windows through 2025.
- Higher estimate
12.04%
- Damodaran historical returns, 1928-2025
Retrieved 2026-09-12
75th percentile of 69 overlapping 30-year S&P 500 total-return windows through 2025.
- Inflation: 3.34%
- FRED: Consumer Price Index for All Urban Consumers (CPIAUCSL)
Compound annual change from August 2016 to August 2026; user input can replace it.
Ordinary, due, and growing payments
An ordinary annuity assumes each payment occurs at the end of a period. Annuity due assumes each payment occurs at the beginning, so every payment has one additional period to compound.
For a growing annuity, the first payment equals the contribution input and later payments increase at the annual growth rate. This consolidates the low-volume growing-annuity query into the validated annuity tool.