Customer lifetime value
In marketing, customer lifetime value (CLV) (or often CLTV), lifetime customer value (LCV), or user lifetime value (LTV) is a prediction of the net profit attributed to the entire future relationship with a customer. The prediction model can have varying levels of sophistication and accuracy, ranging from a crude heuristic to the use of complex predictive analytics techniques.
Customer lifetime value (CLV) can also be defined as the dollar value of a customer relationship, based on the present value of the projected future cash flows from the customer relationship. Customer lifetime value is an important concept in that it encourages firms to shift their focus from quarterly profits to the long-term health of their customer relationships. Customer lifetime value is an important number because it represents an upper limit on spending to acquire new customers.
One of the first accounts of the term Customer Lifetime Value is in the 1988 book Database Marketing, and includes detailed worked examples.
The purpose of the "customer lifetime value" metric is to assess the value of each customer. As Don Peppers and Martha Rogers are fond of saying, “some customers are more equal than others.”  Customer lifetime value (CLV) differs from customer profit or CP (the difference between the revenues and the costs associated with the customer relationship during a specified period) in that CP measures the past and CLV looks forward. As such, CLV can be more useful in shaping managers’ decisions but is much more difficult to quantify. While quantifying CP is a matter of carefully reporting and summarizing the results of past activity, quantifying CLV involves forecasting future activity.
- Customer lifetime value (CLV):
- The present value of the future cash flows attributed to the customer relationship.
Present value is the discounted sum of future cash flows. We discount (multiply by a carefully selected number less than one) future cash flows before we add them together to account for the fact that there is a time value of money. The time value of money is another way of saying that everyone would prefer to get paid sooner rather than later and everyone would prefer to pay later rather than sooner. The exact discount factors used depend on the discount rate chosen (10% per year as an example) and the number of periods until we receive each cash flow (dollars received 10 years from now must be discounted more than dollars received five years in the future).
The concept of CLV is nothing more than the concept of present value applied to cash flows attributed to the customer relationship. Because the present value of any stream of future cash flows is designed to measure the single lump sum value today of the future stream of cash flows, CLV will represent the single lump sum value today of the customer relationship. Even more simply, CLV is the dollar value of the customer relationship to the firm. It is an upper limit on what the firm would be willing to pay to acquire the customer relationship as well as an upper limit on the amount the firm would be willing to pay to avoid losing the customer relationship. If we view a customer relationship as an asset of the firm, CLV would present the dollar value of that asset.
One of the major uses of CLV is to inform prospecting decisions. A prospect is someone whom the firm will spend money on in an attempt to acquire her or him as a customer. The acquisition spending must be compared not just to the contribution from the immediate sales it generates but also to the future cash flows expected from the newly acquired customer relationship (the CLV). Only with a full accounting of the value of the newly acquired customer relationship will the firm be able to make an informed, economic prospecting decision.
“Customer Lifetime Value metrics are used mainly in relationship-focused businesses, especially those with customer contracts. Examples include banking and insurance services, telecommunications and most of the business-to-business sector. However, the CLV principles may be extended to transactions-focused categories such as consumer packaged goods by incorporating stochastic purchase behavior models of individual. 
When margins and retention rates are constant, the following formula can be used to calculate the lifetime value of a customer relationship:
- Customer lifetime value ($) = Margin ($) * (Retention Rate (%) ÷ [1 + Discount Rate (%) - Retention Rate (%)])
The model for customer cash flows treats the firm’s customer relationships as something of a leaky bucket. Each period, a fraction (1 less the retention rate) of the firm’s customers leave and are lost for good.
The CLV model has only three parameters: (1) constant margin (contribution after deducting variable costs including retention spending) per period, (2) constant retention probability per period, and (3) discount rate. Furthermore, the model assumes that in the event that the customer is not retained, they are lost for good. Finally, the model assumes that the first margin will be received (with probability equal to the retention rate) at the end of the first period.
The one other assumption of the model is that the firm uses an infinite horizon when it calculates the present value of future cash flows. Although no firm actually has an infinite horizon, the consequences of assuming one are discussed in the following.
Under the assumptions of the model, CLV is a multiple of the margin. The multiplicative factor represents the present value of the expected length (number of periods) of the customer relationship. When retention equals 0, the customer will never be retained, and the multiplicative factor is zero. When retention equals 1, the customer is always retained, and the firm receives the margin in perpetuity. The present value of the margin in perpetuity turns out to be the Margin divided by the Discount Rate. For retention values in between, the CLV formula tells us the appropriate multiplier.
Simple Ecommerce Example
(Avg Monthly Revenue per Customer * Gross Margin per Customer) ÷ Monthly Churn Rate
The numerator represents the average monthly profit per customer, and dividing by the churn rate sums the geometric series representing the chance the customer will still be around in future months.
For example: $100 avg monthly spend * 25% margin ÷ 5% monthly churn = $500 LTV
A Retention Example
CLV (customer lifetime value) calculation process consists of four steps:
- forecasting of remaining customer lifetime (most often in years)
- forecasting of future revenues (most often year-by-year), based on estimation about future products purchased and price paid
- estimation of costs for delivering those products
- calculation of the net present value of these future amounts
Forecasting accuracy and difficulty in tracking customers over time may affect CLV calculation process.
Retention models make several simplifying assumptions and often involve the following inputs:
- Churn rate, the percentage of customers who end their relationship with a company in a given period. One minus the churn rate is the retention rate. Most models can be written using either churn rate or retention rate. If the model uses only one churn rate, the assumption is that the churn rate is constant across the life of the customer relationship.
- Discount rate, the cost of capital used to discount future revenue from a customer. Discounting is an advanced topic that is frequently ignored in customer lifetime value calculations. The current interest rate is sometimes used as a simple (but incorrect) proxy for discount rate.
- Contribution margin
- Retention cost, the amount of money a company has to spend in a given period to retain an existing customer. Retention costs include customer support, billing, promotional incentives, etc.
- Period, the unit of time into which a customer relationship is divided for analysis. A year is the most commonly used period. Customer lifetime value is a multi-period calculation, usually stretching 3–7 years into the future. In practice, analysis beyond this point is viewed as too speculative to be reliable. The number of periods used in the calculation is sometimes referred to as the model horizon.
Thus, one of the ways to calculate CLV, where period is a year, is as follows:
where is yearly gross contribution per customer, is the (relevant) retention costs per customer per year (this formula assumes the retention activities are paid for each mid year and they only affect those who were retained in the previous year), is the horizon (in years), is the yearly retention rate, is the yearly discount rate.
It is often helpful to estimate customer lifetime value with a simple model to make initial assessments of customer segments and targeting. Possibly the simplest way to estimate CLV is to assume constant and long-lasting values for contribution margin, retention rate, and discount rates, as follows:
Uses and Advantages 
Customer lifetime value has intuitive appeal as a marketing concept, because in theory it represents exactly how much each customer is worth in monetary terms, and therefore exactly how much a marketing department should be willing to spend to acquire each customer, especially in direct response marketing.
Lifetime value is typically used to judge the appropriateness of the costs of acquisition of a customer. For example, if a new customer costs $50 to acquire (COCA, or cost of customer acquisition), and their lifetime value is $60, then the customer is judged to be profitable, and acquisition of additional similar customers is acceptable.
Additionally, CLV is used to calculate customer equity.
Advantages of CLV:
- management of customer relationship as an asset
- monitoring the impact of management strategies and marketing investments on the value of customer assets, e.g.: Marketing Mix Modeling simulators can use a multi-year CLV model to show the true value (versus acquisition cost) of an additional customer, reduced churn rate, product up-sell
- determination of the optimal level of investments in marketing and sales activities
- encourages marketers to focus on the long-term value of customers instead of investing resources in acquiring "cheap" customers with low total revenue value
- implementation of sensitivity analysis in order to determinate getting impact by spending extra money on each customer
- optimal allocation of limited resources for ongoing marketing activities in order to achieve a maximum return
- a good basis for selecting customers and for decision making regarding customer specific communication strategies
- measurement of customer loyalty (proportion of purchase, probability of purchase and repurchase, purchase frequency and sequence etc.)
The Disadvantages of CLV do not generally stem from CLV modeling per se, but from its incorrect application.
Misuses and Downsides 
NPV vs Nominal Prediction 
The most accurate CLV predictions are made using the net present value (NPV) of each future net profit source, so that the revenue to be received from the customer in the future is recognized at the future value of money. However, NPV calculations require additional sophistication including maintenance of a discount rate, which leads most organizations to instead calculate CLV using the nominal (non-discounted) figured. Nominal CLV predictions are biased slightly high, scaling higher the farther into the future the revenues are expected from customers
Net Profit vs Revenue 
A common mistake is for a CLV prediction to calculate the total revenue or even gross margin associated with a customer. However, this can cause CLV to be multiples of their actual value, and instead need to be calculated as the full net profit expected from the customer.
Segment Inaccuracy 
Opponents often cite the inaccuracy of a CLV prediction to argue they should not be used to drive significant business decisions. For example, major drivers to the value of a customer such as the nature of the relationship are often not available as appropriately structured data and thus not included in the formula.
Comparison with Intuition 
More, predictors such as specific demographics of a customer group may have an effect that is intuitively obvious to an experienced marketer, but are often omitted from CLV predictions and thus cause inaccuracies in certain customer segments.
Over-values Current Customers at the Expense of Potential Customers 
The biggest problem with how many CLV models are actually used is that they tend to deny the very idea that marketing works (i.e., that marketing will change customer behavior). Low value customers can be turned into high value customers by effective marketing. Many CLV models use incorrect math in that they do not take account of the value of a far greater number of middle-value customers, over-priotizing a smaller number of high value customers. Additionally, these high-value customers may be saturated (i.e., not have the ability to buy any more coffee or insurance), may be the most expensive group to serve, and may be the most expensive group to reach by communication.
CLV is a Dynamic Concept, Not a Static Model 
A Customer Life Time Value is the output of a model, not an input. If you change the model inputs (e.g., let's say marketing is effective and you increase your retention rates), your average CLV will increase.
See also 
- Farris, Paul W.; Neil T. Bendle; Phillip E. Pfeifer; David J. Reibstein (2010). Marketing Metrics: The Definitive Guide to Measuring Marketing Performance. Upper Saddle River, New Jersey: Pearson Education, Inc. ISBN 0137058292. The Marketing Accountability Standards Board (MASB) endorses the definitions, purposes, and constructs of classes of measures that appear in Marketing Metrics as part of its ongoing Common Language: Marketing Activities and Metrics Project.
- Shaw, R. and M. Stone (1988). Database Marketing, Gower, London.
- Peppers, D., and M. Rogers (1997). Enterprise One to One: Tools for Competing in the Interactive Age. New York: Currency Doubleday.
- Hanssens, D., and D. Parcheta (forthcoming). “Application of Customer Lifetime Value (CLV) to Fast-Moving Consumer Goods."
- Ryals, L. (2008). Managing Customers Profitably. ISBN 978-0-470-06063-6. p.85.
- Berger, P. D. and Nasr, N. I. (1998), "Customer lifetime value: Marketing models and applications." Journal of Interactive Marketing, 12: 17–30. doi:10.1002/(SICI)1520-6653(199824)12:1<17::AID-DIR3>3.0.CO;2-K
- Adapted from "Customer Profitability and Lifetime Value," HBS Note 503-019.
- Gary Cokins (2009). Performance Management: Integrating Strategy Execution, Methodologies, Risk and Analytics. ISBN 978-0-470-44998-1. p. 177
- V. Kumar (2008). Customer Lifetime Value. ISBN 978-1-60198-156-1. p. 6