The LTV formula
Lifetime value is how much gross profit one customer produces before they leave:
average lifetime = 1 / monthly churn rate LTV = ARPA x gross margin x average lifetime LTV : CAC = LTV / cost to acquire a customer CAC payback = CAC / (ARPA x gross margin)
Churn does the heavy lifting. At 3 percent monthly churn the average customer stays about 33 months; at 6 percent it is 17. Halving churn does more for LTV than any price increase you are likely to get away with, which is why retention work usually beats acquisition work in an early SaaS.
Use gross margin, not revenue. Counting the full subscription price as lifetime value ignores hosting, support and payment fees, and produces a number that justifies spending you cannot actually afford. For the wider picture, read the 12 SaaS metrics that matter and what is MRR.