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Present Value Factor Table

Generate printable present value interest factor (PVIF) tables for any interest rates and time periods.

PVIF table settings

Interest rate columns (i)

%
%

Period rows (n)

PVIF for $1

0.961538

Click any table cell to inspect that factor

Present value factor table

PVIF = 1 / (1 + i)ⁿ

n \ i4.0%5.0%6.0%7.0%8.0%9.0%10.0%
n = 10.9615380.9523810.9433960.9345790.9259260.9174310.909091
n = 20.9245560.9070290.8899960.8734390.8573390.8416800.826446
n = 30.8889960.8638380.8396190.8162980.7938320.7721830.751315
n = 40.8548040.8227020.7920940.7628950.7350300.7084250.683013
n = 50.8219270.7835260.7472580.7129860.6805830.6499310.620921
n = 60.7903150.7462150.7049610.6663420.6301700.5962670.564474
n = 70.7599180.7106810.6650570.6227500.5834900.5470340.513158
n = 80.7306900.6768390.6274120.5820090.5402690.5018660.466507
n = 90.7025870.6446090.5918980.5439340.5002490.4604280.424098
n = 100.6755640.6139130.5583950.5083490.4631930.4224110.385543
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What Is a Present Value Factor Table?

A present value factor table (PVIF table) shows the discount multiplier for a single future dollar at various interest rates and time horizons. Each cell answers: how much is $1 received n periods from now worth today at rate i?

PVIF tables are foundational in corporate finance, capital budgeting, and actuarial work. Pair this table with our present value calculator to discount actual dollar amounts, or use the present value annuity factor table when cash flows repeat each period rather than arriving as one lump sum.

The PVIF Formula

The present value interest factor for a single payment is the reciprocal of compound growth:

PVIF=1(1+i)n\mathrm{PVIF} = \frac{1}{(1 + i)^n}

Present value equals future value multiplied by PVIF: PV=FV×PVIF\mathrm{PV} = \mathrm{FV} \times \mathrm{PVIF}. This is the inverse of the future value factor shown in our future value factor calculator.

Worked Example

At 6% interest over 10 periods, the PVIF is:

PVIF=1(1.06)10=11.790848=0.558395\mathrm{PVIF} = \frac{1}{(1.06)^{10}} = \frac{1}{1.790848} = 0.558395

A $10,000 payment due in 10 years at 6% is worth $5,583.95 today ($10,000 × 0.558395). For step-by-step discounting with compounding frequency options, try our discount factor calculator.

Frequently asked questions

How is PVIF different from a discount factor?
They use the same mathematics. PVIF is the textbook name for 1/(1+i)^n. A discount factor in DCF models applies the same multiplier to each projected cash flow at its respective period.
Why do factors decrease as n increases?
Money farther in the future is discounted more heavily. At a positive interest rate, PVIF approaches zero as n grows because the opportunity cost of waiting compounds over time.
Can I customize the rate and period grid?
Yes. Set the starting rate, increment, number of columns, starting period, row count, and decimal precision. The table rebuilds instantly in your browser.
Does this table handle continuous compounding?
This table uses discrete periodic compounding PVIF = 1/(1+i)^n. For continuous discounting with e^(-rt), use the continuous option in our discount factor calculator.

Resources and references

The formulas and methods in this calculator were checked against these independent sources.