Arithmetic gradient A/G calculator

Convert a fixed yearly-increment sequence to an equivalent uniform annual amount.

A = G \times \left[\frac{1}{i} - \frac{n}{\left(1 + i\right)^{n} - 1}\right]

Calculator

Enter the values you know and leave one box empty. Calculate finds the empty one, the result or any input.

Given

A = 100 \times \left[\frac{1}{0.08} - \frac{10}{\left(1 + 0.08\right)^{10} - 1}\right] \approx 387.1

Symbol	Meaning	Unit
$A$	equivalent equal payment	$/period
$G$	increase per successive payment	$/period
$i$	discount rate per period	decimal
$n$	number of periods	periods

Results are estimates for study and screening. Check the inputs, units and assumptions before you use them for design, billing or contract decisions.