12.5 months
- Customer acquisition cost
- $50,000.00
- Monthly revenue per customer
- $5,000.00
- Gross margin
- 80%
Months to pay back CAC12.5
arithmetic identity
Open this exampleHow long a customer takes to repay what they cost to win. Cash-flow reality that the LTV:CAC ratio hides. A 4× ratio over five years still starves a business of cash.
Also called: months to recover cac, cac payback period.
12.5 months of gross profit to recover the $50,000 it cost to acquire this customer.
Acquisition cost divided by the monthly gross profit that customer generates. It is the cash question rather than the profitability question, and the two diverge sharply when lifetimes are long: a healthy ratio with a thirty-month payback still means thirty months of funding growth out of somewhere else.
payback_months = cac / (arpu * gross_margin)Each of these is asserted on every build. If a change to the engine ever moved one of these answers, the build would fail before the page could print it.
Months to pay back CAC12.5
arithmetic identity
Open this exampleMonths to pay back CAC0
degenerate case: guarded division rather than Infinity
Open this exampleMonths to pay back CAC0
boundary
Open this example