Deferred uniform present worth calculator

Present worth at time zero is calculated as A × [1−(1+i)^(-n)] / [i × (1+i)^d]. Use the stated system boundary and matching input units.

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

Calculator

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

Given

P = \frac{10{,}000 \times \left[1 - \left(1 + 0.07\right)^{-10}\right]}{0.07 \times \left(1 + 0.07\right)^{3}} \approx 57{,}333

Symbol	Meaning	Unit
$P$	present worth at time zero	$
$A$	uniform end-period cash amount	$/year
$i$	discount rate	—
$n$	number of receipts	year
$d$	periods to one period before first receipt	year

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