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Annuity-Immediate Future Value Calculator

Enter your periodic payment, interest rate, investment period, and compounding frequency to calculate the future value of your immediate annuity, total interest earned, and a full year-by-year growth schedule.
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Luis GonzalezCreated by Luis GonzalezLast updated:

How to Use This Calculator

  1. 1

    Enter Periodic Payment

    Input the payment amount made at the beginning of each period.

  2. 2

    Set the Annual Interest Rate

    Enter the annual interest rate as a percentage.

  3. 3

    Enter the Number of Years

    Input how many years the annuity payments will continue.

  4. 4

    Set Compounding Frequency

    Specify how many times per year interest is compounded (1 for annually, 12 for monthly).

  5. 5

    Review Results

    View the future value, total payments made, total interest earned, and effective annual rate.

Example Calculation

An investor making $1,000 annual beginning-of-year payments into an annuity due earning 5% compounded annually for 10 years.

Payment

$1,000

Rate

5%

Periods

10 years

Compounding Frequency

1

Results

Future value of $13,207. Total payments of $10,000 with $3,207 in interest earned. The annuity due earns roughly 5% more than an equivalent ordinary annuity because each payment compounds for one extra period.

Tips

Understand the Annuity-Due Advantage

Payments at the beginning of each period earn one extra period of interest compared to an ordinary annuity. At 5% over 20 years, this timing difference can add 5% more to your future value.

Match Compounding to Payment Frequency

For the most accurate projection, set compounding frequency equal to your payment frequency. Monthly payments with monthly compounding reflects how most real annuities work.

Use for Lease and Rent Analysis

Annuity-due calculations are ideal for leases, rent payments, and insurance premiums where payments are due at the start of each period.

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.

💡 For a different type of tax-advantaged savings, our Lifetime ISA Calculator can help you project the growth of your contributions for homeownership or retirement.

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.

  1. Periodic rate: r = 5% / 12 = 0.41667%
  2. Total periods: n = 12 x 10 = 120
  3. Ordinary annuity FV: $1,000 x [((1.004167)^120 - 1) / 0.004167] = $155,282
  4. Annuity-due FV: $155,282 x 1.004167 = $155,929
  5. Total contributions: $1,000 x 120 = $120,000
  6. Interest earned: $155,929 - $120,000 = $35,929
  7. 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.

💡 To compare your annuity-immediate's growth against a different payment schedule, our Ordinary Annuity Calculator can help you see the difference in future value with end-of-period payments.

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.