PVIF Table

The table below provides present value interest factors (PVIF) for 1 to 25 periods across discount rates from 1% to 20%. Each cell shows what $1 received at the end of that period is worth today. To determine the present value of any future cash flow, locate the matching row and column and multiply the factor by the dollar amount.

PVIF Table: 1%–20%, 1–25 Periods

What Is PVIF?

The present value interest factor (PVIF) — also called the discount factor — answers a straightforward question: what is $1 to be received $n$ periods from now worth in today's dollars, given a constant discount rate $r$? The formula is the reciprocal of the compound growth factor:

Where $r$ is the per-period discount rate in decimal form and $n$ is the number of periods until the cash flow arrives. To convert any future amount into its present value:

For instance, if you expect to receive $20,000 in 10 years and use an 8% discount rate, look up PVIF = 0.4632. The present value is $20,000 × 0.4632 = $9,264.

How to Use the Table

1. Count the periods until the future cash flow occurs — that is your row ($n$).
2. Select the discount rate per period — that is your column.
3. Read the discount factor at the intersection.
4. Multiply the factor by the future dollar amount to obtain today's equivalent.

Worked Example

A client owes you $15,000 due in 5 years. You want to know what this receivable is worth today at a 6% annual discount rate:

• Row: $n = 5$
• Column: 6%
• PVIF: 0.7473
• Present value: $15,000 × 0.7473 = $11,209.50

Patterns Worth Noting

Every Factor Is Below 1

Unlike the FVIF table where values grow above 1, every cell in the PVIF table sits between 0 and 1. This reflects a core financial principle: a dollar in the future is always worth less than a dollar today (assuming a positive discount rate). The further away the cash flow, the deeper the discount.

Higher Rates Erode Value Faster

Compare the 5% and 15% columns at $n = 20$: at 5% the factor is 0.3769 (roughly 38 cents on the dollar), while at 15% it drops to 0.0611 (about 6 cents). Tripling the discount rate does not merely triple the erosion — the exponential nature of discounting means higher rates slash present value far more aggressively.

Long Horizons Approach Zero

At 10% and $n = 25$, the factor is just 0.0923 — less than a dime for every future dollar. At 20%, it falls to 0.0105, barely one cent. For very distant cash flows at moderate-to-high discount rates, the present value contribution becomes negligible, which is why terminal value assumptions matter so much in DCF models.

PVIF Is the Mirror Image of FVIF

Each cell in this table is exactly $1 \div$ the corresponding cell in the FVIF table. If you already have an FVIF lookup, you can produce any PVIF by taking the reciprocal — no separate table is strictly necessary, though having both avoids the arithmetic step.

Align the Rate with the Period Length

All factors assume the discount rate and the period share the same time unit. A 12% annual rate with monthly discounting requires converting to a 1% monthly rate and using $n$ in months. Since fractional rates like 0.5% are not listed, use the PVIF Calculator for non-standard periods.

Where PVIF Fits Among the Four Factor Tables

The four time-value-of-money factors form a tightly linked family. PVIF handles the simplest discounting case — a single future lump sum:

Notably, summing all PVIF values in a column from $n = 1$ to $n = N$ gives you the PVIFA for that rate and horizon. This is how annuity tables are built from single-payment discount factors.

Frequently Asked Questions

What is the difference between PVIF and a discount factor?

They are the same thing. "Discount factor" is the term commonly used in corporate finance and fixed-income markets; "PVIF" is the textbook label from introductory finance courses. Both refer to $1 / (1 + r)^{n}$.

How do I handle a rate that falls between two columns?

For a quick approximation, average the factors from the two adjacent columns. For exact results, compute $1 / (1 + r)^{n}$ directly or use the PVIF Calculator.

Can this table be used for monthly discounting?

Yes — the table is agnostic to the time unit. If your discount rate is monthly, each row already represents one month. For a 9% annual rate applied monthly, convert to 0.75% per month (9% ÷ 12) and use $n$ in months. Since 0.75% is not a listed column, the calculator is the more practical tool.

Why does PVIF shrink as the discount rate rises?

A higher discount rate reflects a greater opportunity cost of waiting. Each period of delay costs more in forgone returns, so the present value of a future dollar falls faster. Mathematically, a larger $r$ in the denominator $(1 + r)^{n}$ produces a smaller fraction.

When should I use PVIF versus PVIFA?

Use PVIF when you are discounting a single future amount — for example, the maturity value of a bond or a one-time legal settlement. Use PVIFA when you are discounting a stream of identical periodic payments — such as lease payments, loan installments, or pension benefits.