Customer lifetime value (LTV) calculator
Customer lifetime value is the gross profit a customer brings in before they leave: average monthly revenue per customer × gross margin ÷ monthly churn. Enter those three, and what it costs to win a customer, to see LTV and the LTV-to-CAC ratio.
Customer lifetime value (LTV)
₹53,333
₹1,600 gross profit a month ÷ 3% monthly churn
- Gross profit per customer a month
- ₹1,600ARPA × gross margin: ₹2,000 × 80%.
- Average customer lifetime
- 33.3 months (2.8 years)1 ÷ 3% monthly churn, if the rate holds.
- LTV over the first 36 months
- ₹35,51966.6% of the simple LTV; the rest comes after month 36.
- LTV:CAC ratio
- 4.44 : 1₹53,333 ÷ ₹12,000 CAC.
- LTV:CAC over 36 months
- 2.96 : 1₹35,519 ÷ ₹12,000 CAC.
- LTV minus CAC
- ₹41,333Gross profit a customer brings in after paying back what it cost to win them.
- The simple formula counts every month a customer might stay. At 3% monthly churn, 66.6% of it arrives in the first 36 months; the lower the churn, the more of the LTV depends on customers staying for years.
- Assumes revenue per customer, gross margin and churn stay the same every month, with no upgrades or price changes and no discount for money that arrives later.
How is customer lifetime value calculated?
Customer lifetime value (LTV) is the gross profit an average customer brings in before they leave. Gross profit per customer a month is average monthly revenue per customer (ARPA) times gross margin; divide it by monthly churn to get LTV. ₹2,000 a month at an 80% margin is ₹1,600 of gross profit, and at 3% monthly churn that is ₹1,600 ÷ 0.03 = ₹53,333.
Dividing by churn is the same as multiplying by the average customer lifetime, 1 ÷ churn: 3% a month means about 33.3 months. If you know annual churn instead, the calculator converts it to the monthly rate that compounds to it, 1 − (1 − annual)^(1/12), so 30% a year becomes 2.93% a month rather than 2.5%.
The simple formula adds up every month a customer might stay, however far away. The capped figure adds only the first months you choose, each weighted by the share of customers still there: (1 − churn)^(month − 1). At 3% churn, 66.6% of the simple LTV arrives in the first 36 months; at 1% churn only 30.4% does, so a low churn rate makes the simple LTV lean on customers staying for many years.
With a customer acquisition cost (CAC), the LTV:CAC ratio is LTV ÷ CAC: how many times over a customer's gross profit repays what it cost to win them. The calculator shows the ratio for the simple and the capped LTV and does not set a target.
gross profit a month = ARPA × gross margin LTV = gross profit a month ÷ monthly churn average lifetime = 1 ÷ monthly churn monthly churn = 1 − (1 − annual churn)^(1/12) LTV over H months = Σ (t = 1 … H) gross profit × (1 − churn)^(t − 1) LTV:CAC = LTV ÷ CAC
How much does churn change customer lifetime value?
| Monthly churn | Average lifetime | Simple LTV | LTV over 36 months | Share of LTV in 36 months |
|---|---|---|---|---|
| 1% | 100.0 months | ₹80,000 | ₹24,287 | 30.4% |
| 2% | 50.0 months | ₹40,000 | ₹20,671 | 51.7% |
| 3% | 33.3 months | ₹26,667 | ₹17,759 | 66.6% |
| 5% | 20.0 months | ₹16,000 | ₹13,476 | 84.2% |
| 7% | 14.3 months | ₹11,429 | ₹10,590 | 92.7% |
| 10% | 10.0 months | ₹8,000 | ₹7,820 | 97.7% |
How to calculate customer lifetime value
- 1Enter revenue and marginType the average monthly revenue per paying customer and your gross margin after hosting, support and payment costs.
- 2Enter churnChoose whether you know monthly or annual customer churn and type the rate. Annual churn is converted to its monthly equivalent.
- 3Add CAC and a horizonOptionally, add what it costs to win a customer for the LTV:CAC ratio, and the number of months for the capped LTV.
- 4Read the resultsThe result shows LTV, the average lifetime, the LTV earned within your horizon, and the LTV:CAC ratio for both.
Frequently asked questions
Should LTV use revenue or gross profit?
Why does a small change in churn change LTV so much?
What does the LTV to CAC ratio tell you?
How do I calculate LTV from annual churn?
Why cap LTV at 36 months?
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