The LTV math by churn rate (simple geometric, $19/mo)
LTV = ARPU / monthly churn rate (the simple geometric model that assumes constant churn). This understates LTV slightly for cohorts where survivor churn drops over time, and overstates LTV for cohorts where churn climbs (less common in B2C SaaS). For modeling purposes it's the right starting point.
**At 2% monthly churn:** $19 / 0.02 = $950 LTV (50 months avg lifetime). This is the math optimistic founder decks use. Almost never the real number for self-serve $19/mo SaaS in 2025.
**At 3% monthly churn:** $19 / 0.03 = $633 LTV (33 months avg). Achievable for B2B-focused micro-SaaS with strong activation and integration into customer workflow. Hard for pure B2C tools.
**At 5% monthly churn:** $19 / 0.05 = $380 LTV (20 months avg). Realistic for mid-quality B2B micro-SaaS or strong B2C micro-SaaS.
**At 7% monthly churn:** $19 / 0.07 = $271 LTV (~14 months avg). Realistic for typical $19/mo B2C/prosumer SaaS. The 'painful but workable' zone.
**At 9% monthly churn:** $19 / 0.09 = $211 LTV (~11 months). The 'something is broken' zone — usually activation, value-delivery, or wrong target market.