Beginning-period uniform present worth calculator

Beginning-period uniform present worth is calculated as A × [1−(1+i)^(-n)] × (1+i)/i. Use the stated system boundary and matching input units.

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

Calculator

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

Given

P_{\text{due}} = \frac{10{,}000 \times \left[1 - \left(1 + 0.07\right)^{-10}\right] \times \left(1 + 0.07\right)}{0.07} \approx 75{,}152

Symbol	Meaning	Unit
$P_{\text{due}}$	beginning-period uniform present worth	$
$A$	equal beginning-period cash amount	$/year
$i$	discount rate	—
$n$	number of payments	year

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