How to Use This Calculator
- 1
Enter Periodic Payment
Input the fixed amount of money paid at the beginning of each compounding period (e.g., $1,000).
- 2
Specify Annual Interest Rate
Enter the nominal annual interest rate as a percentage that your annuity will earn.
- 3
Enter Investment Period
Input the total number of years over which payments are made and interest accrues.
- 4
Select Compounding Frequency
Choose how often interest compounds per year (e.g., Annually, Monthly, Daily).
- 5
Review your results
Examine the Future Value, Total Interest Earned, Total Contributions, and Effective Annual Rate cards. The Growth Insights panel shows the due premium, midpoint check, and interest acceleration.
Example Calculation
An individual contributes $1,000 at the beginning of each month for 10 years to an annuity-immediate earning a 5% annual interest rate.
Periodic Payment ($)
1,000
Annual Interest Rate (%)
5
Investment Period (years)
10
Compounding Frequency
12
Results
Future Value
$155,929
Total Interest Earned
$35,929
Total Contributions
$120,000
Effective Annual Rate
5.116%
Insights card shows $647 due premium vs ordinary, year 10 interest is 22.
Tips
Compounding Accelerates in Later Years
Year 1 earns $330 in interest; year 10 earns $7,319 — a 22.2x increase. The balance grows, so each year's interest is larger. Starting early maximizes this acceleration effect.
Due Premium Grows with Rate and Term
At 5%/10yr monthly, the due premium is $647 (+0.42%) vs ordinary. At higher rates or longer terms, this gap widens — each payment earns one extra period of compounding.
Doubling the Term More Than Doubles the FV
10 years yields $155,929 from $120,000 contributed. 20 years yields $412,746 from $240,000 — the interest ($172,746) nearly quintuples because compounding builds on itself.
Use History to Compare Scenarios
Each calculation is saved automatically. Click the clock icon to compare future values across different rates, terms, or compounding frequencies.
The Annuity-Immediate Future Value Calculator projects the growth of regular savings where payments are made at the beginning of each period (annuity-due).
Contributing $1,000 monthly at 5% for 10 years accumulates $155,929 — comprising $120,000 in contributions and $35,929 in compounded interest (23.0% of the final balance).
The beginning-of-period timing adds a $647 due premium over the ordinary annuity equivalent.
The Future Value Formula for Annuity-Immediate
An annuity-immediate (annuity due) is characterized by payments occurring at the beginning of each period.
This timing allows each payment to earn interest for an additional period compared to an ordinary annuity, leading to a higher future value.
The formula for the Future Value of an Annuity-Immediate is:
r = Annual Interest Rate / Compounding Frequency
n = Compounding Frequency x Investment Period (years)
FV_ordinary = Payment x [((1 + r)^n - 1) / r]
FV_due = FV_ordinary x (1 + r)
The (1 + r) multiplier converts the ordinary annuity FV to an annuity-due FV, reflecting the one-period compounding advantage.
Projecting a Decade of Monthly Retirement Contributions
Consider an individual who contributes $1,000 at the beginning of each month to a retirement account for 10 years, earning 5% annually, compounded monthly.
- Periodic rate:
r = 5% / 12 = 0.41667% - Total periods:
n = 12 x 10 = 120 - Ordinary annuity FV:
$1,000 x [((1.004167)^120 - 1) / 0.004167] = $155,282 - Annuity-due FV:
$155,282 x 1.004167 = $155,929 - Total contributions:
$1,000 x 120 = $120,000 - Interest earned:
$155,929 - $120,000 = $35,929 - EAR:
(1.004167)^12 - 1 = 5.116%
The interest accelerates dramatically: year 1 earns $330 while year 10 earns $7,319 — a 22.2x increase.
At the midpoint (year 5), interest is only 12.1% of the $68,289 balance, but by year 10 it's 23.0% of $155,929.
Typical Growth Rates for Annuity-Based Savings
When considering annuity-based savings, understanding typical growth rates is essential for setting realistic expectations.
In 2026, fixed annuities offer guaranteed rates ranging from 3% to 5% annually, depending on the term and provider.
Variable annuities link returns to underlying investment sub-accounts, potentially achieving 6-10% but carrying market risk.
Indexed annuities offer a middle ground with returns linked to a market index (like the S&P 500), often capping upside at 5-8% in strong years.
Comparing these to the historical S&P 500 average of 10-12% annually helps gauge the risk-reward profile of different annuity products.
Frequently Asked Questions
What is the difference between an annuity due and an ordinary annuity future value?
An annuity due makes payments at the beginning of each period, so each payment earns one extra period of interest. Its future value is always higher by a factor of (1 + r). At 5% over 10 years with $1,000 payments, an annuity due yields $13,207 versus $12,578 for an ordinary annuity.
When should I use the annuity immediate (annuity due) future value formula?
Use it whenever payments occur at the beginning of each period. Common examples include lease payments, insurance premiums, rent payments, and retirement contributions made at the start of each month or year.
How does compounding frequency affect the future value of an annuity due?
Higher compounding frequency increases future value because interest is calculated and added to the balance more often. The effect is more pronounced at higher interest rates and longer time horizons.