Customer acquisition cost and lifetime value calculator

A business works when a customer is worth more than it cost to get them, and works well when the payback is fast enough to fund the next one.

%
%
LTV to CAC ratio
10.000
= Exact Very strong, or under-investing in growth
Customer acquisition cost
200.00
Lifetime value
2000.00
CAC payback
3.33 months
Average customer lifetime
33.3 months
Gross profit per customer
1800.00
Gross profit per customer per year
720.00
Show the working
  1. Sales and marketing spend = 50 000
  2. New customers won = 250
  3. Revenue per customer per month = 80
  4. Gross margin = 75
  5. Monthly churn = 3
  6. Customer acquisition cost = 50 000 / 250 = 200
  7. Average customer lifetime = 100 / 3 = 33.3333
  8. gross_per_month = 80 * 75 / 100 = 60
  9. Lifetime value = 60 * 33.3333 = 2000
  10. LTV to CAC ratio = 200 > 0 ? 2000 / 200 : 0 = 10
  11. CAC payback = 60 > 0 ? 200 / 60 : 0 = 3.333 33
  12. Gross profit per customer per year = 60 * 12 = 720
  13. Gross profit per customer = 2000 - 200 = 1800

Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.

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    The formula

    • CAC = spend / new customers
    • average lifetime = 1 / monthly churn
    • LTV = monthly revenue x gross margin / churn

    A ratio of 3 is the usual rule of thumb for a subscription business, with payback under twelve months.

    The 1/churn lifetime assumes churn is constant. In practice it falls with tenure, so this understates LTV for mature cohorts.

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