Future Value of $1 Annuity Table Creator

Calculate the future value interest factor of an annuity (FVIFA) and create a printable table

Start Interest Rate (%)

End Interest Rate (%)

Rate Increment (%)

Start Period (n)

years

End Period (n)

years

Period Increment

years

Annuity Type

Ordinary Annuity (payments at end) Annuity Due (payments at beginning)

How to Use This Calculator

Enter your desired interest rate range and period range to generate a Future Value of $1 Annuity table. Use the factors in the table to calculate the future value of any annuity payment by multiplying the payment amount by the factor.

FVIFA Table Results

Period (n)

Calculation Example

Annuity Type: Ordinary Annuity

Interest Rate Range: 1% to 10%

Period Range: 1 to 20 years

Sample Calculation: FVIFA (5%, 10 years) = 12.5779

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Future Value of $1 Annuity Table Creator (FVIFA Calculator)

The Future Value of $1 Annuity Table is a powerful tool in financial planning. It helps you determine how much a series of recurring payments of $1 will grow to in the future, given a specific interest rate and time period. This factor is also known as the Future Value Interest Factor of an Annuity (FVIFA), and it allows investors, students, and financial analysts to quickly estimate annuity values without solving the formula manually every time.

Whether you’re working with an ordinary annuity (payments at the end of the period) or an annuity due (payments at the beginning), the FVIFA provides a shortcut to understanding the time value of money.

What Is the Future Value of an Annuity?

An annuity is simply a series of equal payments made at regular intervals. When those payments are invested and allowed to grow with interest, we calculate their future value.

The general formula for the Future Value of an Annuity (FVA) is:

FVA = PMT × FVIFA(i, n, T)

Where:

PMT = Payment amount (here, $1 in the table)
i = Interest rate per period (as a decimal)
n = Number of periods
T = Annuity type (0 = Ordinary Annuity, 1 = Annuity Due)

If you want to try this with custom payment amounts instead of $1, you can use the Future Value Annuity Calculator.

Future Value of an Ordinary Annuity (FVOA)

In an ordinary annuity, payments are made at the end of each period. The formula is:

FVOA = PMT × [(1 + i)^n – 1] / i

This version is commonly used in retirement planning, bond valuation, and loan projections since most contributions (like monthly deposits) occur at the end of a period.

For those who prefer visual aids, the Future Value Table provides pre-calculated values for quick lookups.

Future Value of an Annuity Due (FVAD)

An annuity due assumes payments are made at the beginning of each period. Since every payment earns one extra period of interest, the formula becomes:

FVAD = PMT × [(1 + i)^n – 1] / i × (1 + i)

This produces higher values than an ordinary annuity because the money has more time to compound.

If you’re comparing lump sum versus multiple payments, the Future Value Cash Flows Calculator is also helpful.

What Is FVIFA?

The Future Value Interest Factor of an Annuity (FVIFA) is the multiplier that converts $1 payments into their future value. It is derived directly from the formulas above.

For an ordinary annuity (T=0):
FVIFA = [(1 + i)^n – 1] / i

For an annuity due (T=1):
FVIFA = [(1 + i)^n – 1] / i × (1 + i)

By multiplying FVIFA by any payment size, you can calculate the total value of that annuity.

Example: $5,000 Annual Investment

Suppose you invest $5,000 annually at 4% interest with payments at the end of each year (ordinary annuity).

Using FVIFA:

At n = 10, FVIFA(4%,10) = 12.00611 → $5,000 × 12.00611 = $60,030.55
At n = 15, FVIFA(4%,15) = 20.02359 → $5,000 × 20.02359 = $100,117.95
At n = 20, FVIFA(4%,20) = 29.77808 → $5,000 × 29.77808 = $148,890.40

If you only invested $2,500 annually instead, simply cut the results in half. This flexibility makes FVIFA tables ideal for quick financial projections.

If you want to explore scenarios with different rates, try the Future Value Calculator.

Printable Future Value of $1 Annuity Table

Below is a Future Value of $1 Annuity Table (Ordinary Annuity, T = 0) with interest rates increasing by 1% across columns, and periods (n) increasing by 1 down rows. Each factor represents how much $1 per period will grow to by the end of that period.

n (Years)	1%	2%	3%	4%	5%	6%	7%	8%	9%	10%
10	10.46	10.95	11.46	12.01	12.58	13.18	13.82	14.49	15.19	15.94
11	11.51	12.09	12.49	13.49	14.29	15.03	15.79	16.65	17.59	18.79
12	12.57	13.33	13.63	14.49	15.76	16.87	17.69	18.52	19.60	21.00
13	13.64	14.59	14.89	16.00	17.28	18.79	19.64	20.51	21.94	23.58
14	14.72	15.88	16.16	17.12	18.78	20.70	21.66	22.71	24.58	26.49
15	15.81	17.19	17.46	20.02	20.79	22.70	23.73	25.23	27.69	29.79
16	16.91	18.53	18.79	21.65	22.69	24.77	25.88	28.05	31.18	33.53
17	18.02	19.90	20.16	23.19	24.66	26.93	28.09	31.10	35.09	37.69
18	19.14	21.30	21.56	24.64	26.73	29.19	30.38	34.44	39.46	42.39
19	20.27	22.73	23.01	26.00	28.90	31.53	32.75	38.11	44.34	47.62
20	21.41	24.19	24.49	29.78	33.06	33.96	35.19	42.16	49.83	53.58

Note: Values rounded to two decimal places.

If you’d like to calculate for lump sums, check the Future Value Formula Guide.

Why Use FVIFA Tables?

FVIFA tables allow for:

Quick lookups without a calculator
Comparisons across interest rates and time periods
Budget planning for savings and investments
Teaching tools in finance and accounting

For more flexible scenarios like investment accounts with varying contributions, the Future Value Investment Account Calculator can provide tailored results.

Key Takeaways

The Future Value of $1 Annuity Table simplifies compound interest calculations for recurring payments.
Ordinary annuities assume payments at the end, while annuities due assume payments at the beginning.
The FVIFA factor is the multiplier that grows a $1 payment into its future value.
These tables are essential for retirement planning, education savings, and long-term investment comparisons.

For custom scenarios beyond $1 payments, the Future Value Investment Calculator makes it simple to apply the formulas to real-world amounts.