Audited 29 Jul 2026·Last updated 28 Oct 2026·6 citations·Tier 1·0 uses

Customer Lifetime Value (LTV) Calculator

Customer lifetime value from monthly ARPA, gross margin and churn, with discounted, simple (ARPA × GM ÷ churn) and fixed-horizon LTV side by side.

Customer Lifetime Value Calculator

Which LTV do you want?
Average recurring revenue per account per month, before cost of revenue. Use the figure for the cohort you are valuing, not the whole book — enterprise and self-serve customers should never be averaged together.
$
Revenue less cost of revenue — hosting, support, payment fees, third-party licences — as a percentage. Typical B2B SaaS runs 70–85%. Enter 100 only if you deliberately want a revenue LTV, which must never be compared to CAC.
%
Share of customers lost each month. This is the single largest driver of the answer, and there is no defensible LTV without it. 3% monthly is roughly 31% a year. Use logo churn, not revenue churn, unless you also switch ARPA to a revenue-weighted figure.
%
Your cost of capital, converted internally to a monthly effective rate. 10% a year is 0.7974% a month. Enter 0 to ignore the time value of money; the simple method ignores it regardless of what you put here.
%
How many months of the relationship to count. Used only by the fixed-horizon method. Three years is a common choice for an early-stage company, because an infinite-horizon LTV assumes the business outlives the customer.
months
Customer lifetime value
$2,452.20
The customer's lifetime gross profit in dollars on the method you selected — it depends on the churn rate you entered, and a single constant rate understates a base whose customers churn at different rates.
Monthly gross profit per customer
$96.00
Average lifetime
33.3 mo
Simple LTV
$3,200.00
Discounted LTV
$2,452.20
Monthly discount rate
0.7974%
LTV as months of ARPA
20.435×
Method
Discounted perpetuity, margin at month end

Background.

Take a subscriber who pays $120 a month. After hosting, support and card fees you keep 80 cents of each dollar, and 3% of customers like this one cancel every month. What is that customer worth to the business? Three answers are in common use — $3,200, $2,452.20 and $1,836.79 — and all three turn up in board decks and investor memos, often with no note of which one is being quoted. They describe the same customer. The highest is 1.74 times the lowest.

The $3,200 is the SaaS rule of thumb from David Skok's SaaS metrics definitions: monthly gross profit of $96 divided by the 3% churn rate. It counts the first month's margin the day the customer signs and never discounts anything. The $2,452.20 is the discounted perpetuity from the marketing-metrics literature — Farris, Bendle, Pfeifer and Reibstein's Marketing Metrics, and Gupta, Lehmann and Stuart's 2004 paper in the Journal of Marketing Research. It values each future month at a 10% annual cost of capital and only books a month's margin if the customer is still there at the end of it. The $1,836.79 is that same discounted stream cut off after 36 months, for a company not yet in a position to promise it will be serving anyone in year ten.

Whichever form you choose, churn moves the result far more than anything else you can type. Halving it from 3% to 1.5% a month lifts the discounted value from $2,452.20 to $4,115.93, a 68% gain. Halving the discount rate from 10% to 5% lifts it only to $2,732.87, about 11%. Gupta and his co-authors found the same asymmetry when they valued Capital One, Amazon, Ameritrade, eBay and E*Trade from public data: a 1% improvement in retention had almost five times the effect on customer value of a 1% improvement in the discount rate.

Two things push a real business away from these figures, in opposite directions. Holding one churn rate constant across a mixed customer base understates its value, because the customers most likely to leave go first and the survivors are stickier — Fader and Hardie showed a single-rate valuation missing 38% of a customer base's worth. And the model holds monthly margin flat, so upsells and price rises are not counted at all. Against that, calculating on revenue instead of gross profit inflates every figure by one over your margin, which is 25% at an 80% margin.

On its own, a lifetime value decides nothing. It becomes useful when you set it against what it costs to win the customer, as an LTV:CAC ratio or a payback period.

What is customer lifetime value calculator?

Customer lifetime value (LTV or CLV) is the present value of the gross profit one customer is expected to generate between signing and leaving. Bessemer Venture Partners puts it as the gross-margin-affected value of a customer over the course of the relationship. It is a forecast, not a measurement: nothing in it has happened yet, and it rests on an assumed churn rate, an assumed margin and an assumed cost of capital. It is not a GAAP figure and no accounting standard defines it, which is why the SEC's 2020 guidance on key performance metrics asks a company that publishes one to give a clear definition and calculation, explain why the metric is useful and how management uses it, and disclose any change in how it is calculated. The closed-form version used here assumes a constant monthly margin, a constant monthly retention probability, customers who never return once they leave, and margin that arrives at the end of each month.

How to use this calculator.

  1. Choose one cohort before you enter anything. A base that mixes $50-a-month self-serve accounts with $5,000-a-month enterprise contracts has no meaningful average customer; value each segment separately.
  2. Enter that cohort's monthly ARPA — average recurring revenue per account per month, before any cost of revenue. For annual contracts, divide the annual price by twelve.
  3. Enter gross margin after hosting, support staff, payment processing and third-party licences. Typical B2B SaaS lands at 70–85%. Enter 100 only if you deliberately want a revenue LTV, and never set that figure against CAC.
  4. Enter monthly logo churn for the same cohort, measured over several months so one bad month does not dominate. If you only know annual churn, convert it with 1 − (1 − annual)^(1/12) rather than dividing by twelve.
  5. Set the annual discount rate to your cost of capital (0 switches discounting off) and, if you want the fixed-horizon figure, the number of months to count. The monthly rate actually used is shown with the result.
  6. Pick the method for the headline figure, then read the simple and discounted comparison figures beneath it: the gap between them shows how much of your LTV is a choice of convention rather than a fact about your customers.

The formula.

LTV = m · r ⁄ (1 + d − r) · LTV_simple = m ⁄ c · LTV_N = m · k(1 − kᴺ) ⁄ (1 − k)

Everything starts from monthly gross profit per customer, m = ARPA × gross margin. Monthly churn c gives retention r = 1 − c, the probability a customer present this month is still there next month. The annual discount rate is turned into a monthly effective rate, d = (1 + annual)^(1/12) − 1, so 10% a year becomes 0.7974% a month rather than the 0.8333% you would get by dividing by twelve.

The simple method adds an undiscounted stream that starts immediately: m + mr + mr² + … = m ÷ c. The discounted method adds a stream that starts at the end of month one and discounts every term: mr/(1 + d) + mr²/(1 + d)² + … = m · r ÷ (1 + d − r). Because 1 + d − r is the same as d + c, the denominator stays positive whenever churn is above zero. The fixed-horizon method stops that discounted series after N months: m · k(1 − kᴺ) ÷ (1 − k), with k = r ÷ (1 + d).

The edges show how the three relate. With the discount rate at zero, the discounted figure sits exactly one month's margin below the simple one — $3,104 against $3,200 on the default inputs — because it waits until month end and applies the first month's churn. At 100% churn the discounted value is zero, since nobody survives to month end, while the simple form still credits one month. At very low churn the simple form runs away (0.01% monthly churn gives $960,000) whereas discounting caps the perpetuity near m ÷ d, about $12,039 here. Zero churn is not accepted: a customer who never leaves has an infinite undiscounted value.

The average lifetime shown, 1 ÷ c, is a mean. Under constant churn, departures follow a geometric pattern with a long tail, so the median customer leaves sooner: at 3% a month, half are gone by about month 23, while a third are still paying after three years.

A worked example.

Example

Use the default inputs: $120 ARPA, 80% gross margin, 3% monthly churn, a 10% annual discount rate and the discounted method. Monthly gross profit is 120 × 0.80 = $96. Retention is 1 − 0.03 = 0.97. The monthly discount rate is 1.10^(1/12) − 1 = 0.7974%. The denominator of the perpetuity is d + c = 0.007974 + 0.03 = 0.037974, and 0.97 ÷ 0.037974 = 25.54, which is the customer's value expressed in months of gross profit. Multiplying, 96 × 25.54 gives a lifetime value of $2,452.20. Divided by the $120 ARPA, that is 20.43 months of top-line revenue. The comparison figures put the same customer at $3,200.00 on the simple formula (96 ÷ 0.03), 30% above the discounted value, and the expected lifetime at 1 ÷ 0.03 = 33.33 months. Switching to the fixed-horizon method at 36 months returns $1,836.79: three years capture about 75% of the perpetuity's value, because only a third of customers are still paying by then and their later months are discounted. If winning this customer costs $600 in sales and marketing, the discounted LTV is 4.1 times that cost, and the $96 monthly margin earns the $600 back in 6.25 months. Quoting the simple figure instead would have reported 5.3 times — a healthier-looking business built on the same customers.

horizon Months36
methoddiscounted
arpa Per Month120
monthly Churn Rate Percent3
annual Discount Rate Percent10
gross Margin Percent80

Frequently asked questions.

Should lifetime value be built on revenue or on gross profit?
Gross profit. Revenue is not money the business keeps: hosting, support, payment fees and licences come out first. An LTV calculated on revenue is larger by one over your gross margin — at 80%, the default customer would show $3,065.24 instead of $2,452.20, 25% more. Bessemer's definition is explicitly margin-based, and the comparison with acquisition cost only works if both sides are real cash: CAC is money spent, revenue LTV is not money earned.
Which method should I quote to investors: simple, discounted or fixed horizon?
The discounted figure is the one with a published derivation behind it and the one that does not treat a dollar in month 40 as worth a dollar today. A young company may prefer the fixed horizon, because an infinite horizon quietly assumes the business outlives its customers; 36 months is a common cut. The simple form is familiar and quick, but on typical SaaS inputs it runs around 30% above the discounted value, so name it whenever you use it.
My churn figure is annual. Can I divide it by twelve?
Not exactly. Churn compounds: a customer must survive each month in turn, so the monthly rate that produces 25% annual churn is 1 − 0.75^(1/12) = 2.37%, not 25 ÷ 12 = 2.08%. Using the divided figure here would overstate the discounted LTV of the default customer by about 10%. The same correction applies in reverse — 3% a month is about 31% a year, not 36%.
Why does a 33-month average lifetime feel too long when most customers leave sooner?
Because it is a mean over a skewed distribution. With 3% churn every month, the chance of surviving falls geometrically: 69% of customers are still there after a year, 33% after three years, and a small group stays for a decade or more. Half have left by about month 23, but the long-stayers pull the average up to 33.33 months. Both numbers come from the same constant-churn assumption.
How can a single churn rate understate what my customers are worth?
Real customer bases mix loyal and flighty customers, and lifetime value is not linear in churn. Two equal groups churning at 1% and 5% a month average 3%, yet valued separately on the default margin and discount rate they are worth $5,287.60 and $1,573.12 — an average of $3,430.36, about 40% above the $2,452.20 a blended 3% gives. Fader and Hardie found the same effect in cohort data, a 38% understatement on their example, because high-churn customers leave first.
Is it wrong to multiply annual margin by the expected number of years a customer stays?
Yes, and Gupta, Lehmann and Stuart used it as their cautionary example. With a $100 annual margin, 80% retention and a 12% discount rate, the correct lifetime value is $250. Treating 80% retention as a five-year stay and valuing a five-year annuity gives about $360, an overestimate of roughly 44%, because it ignores the customers who leave early and credits a full stream to everyone.
What LTV to CAC ratio justifies spending more on acquisition?
Both Bessemer Venture Partners and David Skok point to 3× as the threshold, and Bessemer notes that below 1× each new customer loses money. The ratio means little unless the LTV is on gross profit and the CAC is fully loaded with sales and marketing salaries. Pair it with the payback period: a 4× ratio that takes four years to recover its cash can still starve a growing company.
Does the result include upsells, seat expansion or price increases?
No. Every method here holds the monthly margin constant, so expansion revenue is ignored. A business whose net revenue retention is above 100% earns more from each surviving customer over time, and its true lifetime value is higher than any figure shown. Modelling that properly means letting the margin grow with time, which needs a cohort model or a formula with an explicit growth term.
Why do textbooks give slightly different LTVs for the same inputs?
Mostly timing. The discounted form here books each month's margin at the end of the month, as the Farris and MASB formula does. Fader and Hardie book it at the beginning, which multiplies the result by 1 + d: the default customer becomes $2,471.75 instead of $2,452.20. The simple formula goes further, counting the first month immediately and never discounting. State the convention whenever you compare figures.
How much does the discount rate I choose actually change the answer?
Less than most people expect. On the default customer, raising the cost of capital from 10% to 20% a year cuts the discounted LTV from $2,452.20 to $2,055.20, about 16%, while moving churn by a single percentage point does more. The rate matters most at low churn, where it becomes the main brake on the perpetuity: with almost no churn the value approaches margin ÷ monthly rate.

References& sources.

  1. [1]Gupta, S., Lehmann, D. R., & Stuart, J. A. (2004). "Valuing Customers." Journal of Marketing Research, 41(1), 7–18. Equation (2) gives LV = Σ m_t r^t/(1+i)^t; footnote 3 works the example m=$100, r=80%, i=12% to $250 and shows the five-year-annuity shortcut ($360) overestimating by about 44%; Table 4 reports retention elasticities of 2.45–6.75. Author copy hosted by Columbia Business School; retrieved 2026-07-29.
  2. [2]MASB / Common Language Marketing Dictionary — "Customer Lifetime Value," sourced to Farris, P. W., Bendle, N. T., Pfeifer, P. E., & Reibstein, D. J., Marketing Metrics: The Definitive Guide to Measuring Marketing Performance (2nd ed., 2010) and Peppers & Rogers (1997). Gives CLV = Margin × [retention ÷ (1 + discount − retention)] and lists the six assumptions, including "first margin received at end of first period (with retention probability)." Retrieved 2026-07-29.
  3. [3]Fader, P. S., & Hardie, B. G. S. (2010). "Customer-Base Valuation in a Contractual Setting: The Perils of Ignoring Heterogeneity." Marketing Science, 29(1), 85–93. Shows that a valuation built on a single aggregate retention rate "underestimates the value of the customer base by 38%" on their worked example, because cohort retention rises as high-churn customers leave first. Author copy; retrieved 2026-07-29.
  4. [4]Skok, D. "SaaS Metrics 2.0 — Detailed Definitions," forEntrepreneurs.com. Source of the simple form, LTV = ARPA × GM% ÷ monthly churn rate, and of the LTV:CAC guideline ("this number should be higher than 3"). Undated revision, current as retrieved 2026-07-29.
  5. [5]Bessemer Venture Partners — D'Onofrio, M. "Scaling to $100 Million" (updated 2024 edition, PDF). Defines CLTV as "the gross margin-affected value of a customer to a business over the course of its relationship" and recommends investing in acquisition at CLTV/CAC of 3x or better, noting customers are unprofitable below 1x. Retrieved 2026-07-29.
  6. [6]U.S. Securities and Exchange Commission — "Commission Guidance on Management's Discussion and Analysis of Financial Condition and Results of Operations," Release Nos. 33-10751; 34-88094; FR-87, issued 30 January 2020. Requires a company disclosing a metric to give a clear definition and calculation, the reasons it is useful, how management uses it, and any change in the method of calculation. Federal Register text via GovInfo; retrieved 2026-07-29.

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LTV = m · r ⁄ (1 + d − r) · LTV_simple = m ⁄ c · LTV_N = m · k(1 − kᴺ) ⁄ (1 − k)
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