Fixture cost at discounted break-even calculator

Maximum initial cost per fixture is calculated as S_annual × [1−(1+i)^(-n)]/(i × N). Use the stated system boundary and matching input units.

C_{\text{fixture max}} = \frac{S_{\text{annual}} \times \left[1 - \left(1 + i\right)^{-n}\right]}{i \times N}

Calculator

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

Given

C_{\text{fixture max}} = \frac{6000 \times \left[1 - \left(1 + 0.08\right)^{-4}\right]}{0.08 \times 200} \approx 99.364

Symbol	Meaning	Unit
$C_{\text{fixture max}}$	maximum initial cost per fixture	$/fixture
$S_{\text{annual}}$	net annual whole-project savings	$/year
$i$	required discount rate	—
$n$	service life	year
$N$	fixture count	fixture

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