Uniform Series Present Worth Calculator

Work out uniform series present worth instantly with clear inputs, formula shown and shareable results.

About Uniform Series Present Worth Calculator

The uniform series present worth factor (P/A) is the present value of one currency unit received each year for n years. It is the workhorse factor for valuing level cash flows such as savings from an efficiency project.

Formula

P/A factor

P/A = (1 - (1+r)^-n) / r

r: Discount rate
n: Years

Worked example

With the default values below, Uniform Series Present Worth Calculator returns Uniform Series Present Worth Factor of 9.107914. Change any input above and every figure here is recalculated in your browser.

Inputs used

Uniform Annual Amountminimum 0: 25,000
Discount Rateaccepts 0–100 %: 7 %
Number Of Yearsaccepts 1–100: 15

Results

Uniform Series Present Worth Factor: 9.107914
Present Worth Of The Series: $227,697.85
Undiscounted Total: $375,000.00
Reduction From Discounting: $147,302.15

Step by step

1Values used
2P/A factor
3Uniform Series Present Worth Factor= 9.107914
4Present Worth Of The Series= 227,697.85
5Undiscounted Total= 375,000.00
6Reduction From Discounting= 147,302.15

Assumptions and limits

The result is derived only from the 3 inputs listed above. Anything not among them is not part of the calculation.
In particular, this calculator does not take inflation, tax or fees or charges into account.
Figures are rounded for display to 6 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

What is the maximum this factor can reach?

As n grows it tends to 1/r, the perpetuity factor — at 7% no level stream is worth more than about 14.3 years of payments.

Is it the reciprocal of the amortisation factor?

Yes, P/A and A/P are exact reciprocals of each other.