- Customers left after T months
- N × (1 − c)ᵀ
- Monthly revenue churn (r)
- c × (revenue from customers who leave ÷ average revenue per customer)
- Monthly revenue after T months
- MRR₀ × (1 − r)ᵀ
- Revenue in the period with churn
- MRR₀ × (1 − (1 − r)ᵀ) ÷ r
- Lost revenue
- MRR₀ × T − revenue in the period with churn
- Churn converted to 12 months
- 1 − (1 − c)¹²
- LTV
- average revenue per customer × gross margin ÷ c
- LTV:CAC
- LTV ÷ CAC
- CAC payback period
- CAC ÷ (average revenue per customer × gross margin)
N = customers at start · c = monthly customer churn · MRR₀ = monthly revenue at start · T = number of months · CAC = cost of acquiring a new customer