Future Value Tables: FVIF & FVIFA Factor Lookup Tables
Use the FVIF and FVIFA tables below to quickly look up future value factors for interest rates from 1% to 20% and periods from 1 to 30 years. Select a rate and period to highlight the corresponding cell, or use the mini calculator for custom inputs.
What Are Future Value Factor Tables?
Future value factor tables are pre-computed reference charts that show multipliers for calculating the future value of money. There are two primary types:
- FVIF (Future Value Interest Factor): Used for a single lump-sum investment. The formula is
FVIF = (1 + r)n. Multiply your present value by the FVIF to get the future value. - FVIFA (Future Value Interest Factor of an Annuity): Used for a series of equal periodic payments. The formula is
FVIFA = ((1 + r)n − 1) / r. Multiply your periodic payment by the FVIFA to get the total future value of all payments.
These tables were essential before financial calculators existed, and they remain invaluable for quick reference, exam preparation, and building financial intuition.
FVIF Table: Future Value Interest Factor
The FVIF table shows how $1 invested today grows at various interest rates over different time periods. The factor is calculated as FVIF = (1 + r)n, where r is the interest rate per period and n is the number of periods.
To use: find the intersection of your rate (column) and period (row). Multiply that factor by your present value to get the future value.
How to Use the FVIF Table
Follow these steps to calculate the future value of a lump-sum investment using the FVIF table:
- Identify your interest rate — Determine the periodic interest rate. If you have an annual rate and compound annually, use that directly. For other compounding, divide accordingly.
- Identify the number of periods — Count the total compounding periods. For annual compounding, this equals the number of years.
- Find the FVIF factor — Locate the row for your number of periods and the column for your interest rate. The intersecting value is your FVIF.
- Calculate future value — Multiply your present value (investment amount) by the FVIF factor.
From the table: FVIF(8%, 10) = 2.1589
FV = $5,000 × 2.1589 = $10,794.50
FVIFA Table: Future Value Interest Factor of Annuity
The FVIFA table shows the future value of $1 deposited at the end of each period for n periods at interest rate r. The formula is:
Multiply the FVIFA factor by your periodic payment (PMT) to get the total future value of the annuity:
This table assumes payments are made at the end of each period (ordinary annuity). For annuity due (beginning of period), multiply the result by (1 + r).
How to Use the FVIFA Table
Follow these steps to calculate the future value of recurring deposits using the FVIFA table:
- Determine your periodic payment — This is the fixed amount deposited each period (e.g., $200/month or $2,400/year).
- Identify the rate per period — If depositing annually at 5%, use 5%. If depositing monthly, divide the annual rate by 12.
- Count the number of periods — For annual deposits over 15 years, n = 15. For monthly deposits over 15 years, n = 180.
- Look up the FVIFA factor — Find the intersection of your rate column and period row in the table.
- Calculate the future value — Multiply your periodic payment by the FVIFA factor.
From the table: FVIFA(5%, 20) = 33.0660
FV = $3,000 × 33.0660 = $99,198.00
Your total deposits: $60,000 | Interest earned: $39,198
🧮 Quick Factor Calculator
Enter any interest rate and number of periods to instantly compute FVIF and FVIFA factors.
FVIF vs FVIFA: Key Differences
Both factors help calculate future value, but they apply to different scenarios:
| Aspect | FVIF | FVIFA |
|---|---|---|
| Full Name | Future Value Interest Factor | Future Value Interest Factor of Annuity |
| Formula | (1 + r)n | ((1 + r)n − 1) / r |
| Used For | Single lump-sum investment | Series of equal periodic payments |
| Cash Flow | One-time deposit at time 0 | Equal deposits each period |
| Calculation | FV = PV × FVIF | FV = PMT × FVIFA |
| Factor at r=6%, n=10 | 1.7908 | 13.1808 |
| Typical Use Case | CD maturity, bond face value | 401(k), monthly savings plans |
| Relationship | FVIFA = (FVIF − 1) / r | |
If your investment involves both an initial lump sum and periodic deposits, combine both formulas: FV = PV × FVIF + PMT × FVIFA.
Frequently Asked Questions
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FVIF stands for Future Value Interest Factor. It equals (1 + r)n and represents the multiplier applied to a present value to determine its future value after n periods at interest rate r. For example, an FVIF of 1.3382 means $1 today grows to $1.3382 at the given rate and period.
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FVIFA stands for Future Value Interest Factor of an Annuity. It equals ((1 + r)n − 1) / r and tells you the future value of $1 deposited at the end of each period for n periods at rate r. Multiply FVIFA by your periodic payment to get the future value of the annuity.
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Find your interest rate column and period row in the FVIF table. The intersecting factor is your FVIF. Multiply it by your present value: FV = PV × FVIF. For example, $5,000 at 6% for 10 years: FV = $5,000 × 1.7908 = $8,954.
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FVIF is used for a single lump-sum investment — it shows how $1 today grows over time. FVIFA is used for a series of equal periodic payments (an annuity) — it shows how $1 deposited each period accumulates over time. Use FVIF for one-time investments and FVIFA for recurring contributions.
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The standard FVIF and FVIFA tables assume one compounding period equals the payment period. For monthly compounding, divide the annual rate by 12 and multiply years by 12 to get the number of monthly periods. For example, 6% annual with monthly compounding for 5 years: r = 0.5% per month, n = 60 months. Our mini calculator above handles any compounding frequency automatically.
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Yes. FVIF and FVIFA tables remain valuable for quick reference, exam preparation (CFA, CPA, finance courses), verifying calculator results, and building intuition about how interest rates and time affect growth. They're especially handy when you need to compare multiple rate-period combinations at a glance.
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The factors displayed are rounded to 4 decimal places, which is standard for financial factor tables. For most practical calculations, this precision is sufficient. Our mini calculator above provides full-precision results. For large sums where rounding matters, use the full FV Calculator for exact figures.