FVIF Table

Below is a ready-to-use reference for the future value interest factor (FVIF) across 1 to 25 compounding periods and interest rates ranging from 1% to 20%. Locate the period count on the left, the rate along the top, and the intersecting cell is your compound growth multiplier — simply multiply it by your starting principal to obtain the future value.

FVIF Table: 1%–20%, 1–25 Periods

What Is FVIF?

The future value interest factor (FVIF) represents the compound growth of $1 over $n$ periods at a constant interest rate $r$. It is the most fundamental time-value-of-money building block — every other factor (PVIF, FVIFA, PVIFA) can be derived from it. The formula is:

Where $r$ is the per-period interest rate expressed as a decimal and $n$ is the total number of compounding periods. To project how much a lump sum will be worth in the future:

For instance, investing $5,000 for 10 years at 8% gives FVIF = 2.1589, so the investment grows to $5,000 × 2.1589 = $10,794.50.

How to Use the Table

1. Identify the compounding period count in the first column ($n$).
2. Match your per-period rate across the header row.
3. Read the factor where the row and column meet.
4. Multiply the factor by your principal to get the projected future value.

Step-by-Step Illustration

Suppose you place $3,000 in a savings account earning 4% per year for 7 years:

• Row: $n = 7$
• Column: 4%
• FVIF: 1.3159
• Future value: $3,000 × 1.3159 = $3,947.70

Key Observations

All Values at $n = 1$ Equal $(1 + r)$

After just one period, $1 has only had a single round of compounding, so FVIF is simply $1 + r$. At 5%, that is 1.0500; at 12%, it is 1.1200. No exponential growth has kicked in yet — the factor simply adds the interest rate once.

The Rule of 72 in Action

A handy shortcut: divide 72 by the interest rate to estimate how many periods it takes for money to double. At 6%, that is roughly 72 ÷ 6 = 12 periods. Check the table — FVIF at 6% and $n = 12$ is 2.0122, confirming the approximation. At 9%, the rule predicts 8 periods; the table shows 1.9926 at $n = 8$, nearly 2.

Compounding Accelerates Over Time

Compare 10% across different horizons: at $n = 10$ the factor is 2.5937, at $n = 20$ it is 6.7275, and at $n = 25$ it reaches 10.8347. Each additional decade contributes more absolute growth than the last — this accelerating curve is the hallmark of exponential compounding.

Ensure the Rate Matches the Period Length

Every value in the table assumes that the interest rate and the period use the same time unit. If you hold a 6% annual rate but need a monthly horizon, convert to a monthly rate (6% ÷ 12 = 0.5%) and express $n$ in months. Since 0.5% is not a column in this table, use the FVIF Calculator for such cases.

Connecting FVIF to the Other Factor Tables

All four standard time-value factors originate from the same $(1 + r)^{n}$ core:

If you already have an FVIF table, you can derive any of the other three without a separate lookup.

Frequently Asked Questions

My rate or period isn't listed — what should I do?

Plug the values directly into the formula $(1 + r)^{n}$ or use the FVIF Calculator. For a rough estimate, you can also interpolate between the two nearest columns or rows.

Does this table work for monthly compounding?

It works for any compounding frequency as long as the rate column reflects the rate per compounding period and $n$ represents the number of those periods. For a 12% annual rate compounded monthly, use $r = 1\%$ and read the 1% column with $n$ equal to the number of months.

How can I tell when my money doubles?

Scan across a rate column until the factor passes 2.0000. At 7%, that happens between $n = 10$ (1.9672) and $n = 11$ (2.1049) — roughly 10.2 years. The Rule of 72 gives 72 ÷ 7 ≈ 10.3, which matches closely.

What makes FVIF different from FVIFA?

FVIF measures the growth of a single initial amount — one lump sum invested once. FVIFA measures the accumulation of repeated equal payments made every period. Use FVIF when you invest or deposit money only once; use FVIFA when you contribute a fixed amount each period.

Is the table based on end-of-period or beginning-of-period timing?

FVIF is agnostic to payment timing because it describes the growth of a single sum, not a series of payments. The lump sum is assumed to be invested at the start, and the factor gives its value at the end of $n$ periods. Payment-timing distinctions (ordinary vs. due) only apply to annuity factors like FVIFA and PVIFA.