© 2012 Towers Watson. All rights reserved. Customer Lifetime Value Opportunities and Challenges Mohamad Hindawi, PhD, FCAS September 28, 2012.

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© 2012 Towers Watson. All rights reserved. Customer Lifetime Value Opportunities and Challenges Mohamad Hindawi, PhD, FCAS September 28, 2012

Antitrust Notice The Casualty Actuarial Society is committed to adhering strictly to the letter and spirit of the antitrust laws. Seminars conducted under the auspices of the CAS are designed solely to provide a forum for the expression of various points of view on topics described in the programs or agendas for such meetings. Under no circumstances shall CAS seminars be used as a means for competing companies or firms to reach any understanding – expressed or implied – that restricts competition or in any way impairs the ability of members to exercise independent business judgment regarding matters affecting competition. It is the responsibility of all seminar participants to be aware of antitrust regulations, to prevent any written or verbal discussions that appear to violate these laws, and to adhere in every respect to the CAS antitrust compliance policy. towerswatson.com © 2012 Towers Watson. All rights reserved. Proprietary and Confidential. For Towers Watson and Towers Watson client use only. 1

towerswatson.com © 2012 Towers Watson. All rights reserved. 2 Pop quiz! A new advertising program would cost $1 million and generate 1,000 new auto policies. Should you spend the money? A customer service initiative will improve annual policyholder retention by 0.2% at a cost of $20 per policy per year. Is it worth it? A potential auto customer is expected to generate an underwriting loss in the first two years of the relationship. Should you write the policy?

towerswatson.com © 2012 Towers Watson. All rights reserved. 3 Agenda Introducing customer lifetime value (CLV) Current and potential uses The unique complications of CLV in insurance Measuring CLV Inventory of CLV metrics The need for different metrics The mechanics of calculating CLV

towerswatson.com © 2012 Towers Watson. All rights reserved. Proprietary and Confidential. For Towers Watson and Towers Watson client use only. Introducing Customer Lifetime Value 4

towerswatson.com © 2012 Towers Watson. All rights reserved. 5 Customer Lifetime Value (CLV) What is the value of a customer? The simplest definition of CLV is the net present value of the cash flows attributed to the relationship with a customer Ideally, all sources of value should be included This might not always be practical “All models are wrong, but some are useful.” — George E. P. Box Current Product Up-sell Cross-sell Referral

towerswatson.com © 2012 Towers Watson. All rights reserved. Current and potential uses of CLV Customer Relationship Management (CRM) Provides preferential services to certain customers — Capital One — ICIC Bank Identifies targets for retention campaigns Offers certain products to specific customers — Example: Usage-based Insurance (UBI) Helps make decisions on which policies to cancel — CAT management Marketing Agents and product managers’ compensation 6 Nurture and cross-sell Develop and acquire similar prospects Retain Maintain service level and reduce costs Current value High Low High Future value Low “You can’t manage what you can’t measure.” — Bill Hewitt

towerswatson.com © 2012 Towers Watson. All rights reserved. 7 Unique complications of CLV in insurance Revenues and costs vary by customer and over time for a specific customer; CLV is much more than a function of volume Capital/surplus allocation adds further complexity Highly variable cost structure yields small contribution to margins, meaning small changes in price can have a dramatic impact on CLV

towerswatson.com © 2012 Towers Watson. All rights reserved. Proprietary and Confidential. For Towers Watson and Towers Watson client use only. Measuring CLV 8

towerswatson.com © 2012 Towers Watson. All rights reserved. 9 Calculating CLV: Simple example Customer with a single policy with high initial acquisition costs and a stream of constant profits in future years. Assuming no chance of cross-sell, up-sell or referrals Profit Acquisition cost Expected profit each year reduced by probability of termination Year Baseline profit

towerswatson.com © 2012 Towers Watson. All rights reserved. 10 Future and past customer lifetime value Future lifetime value represents the NPV of expected future profits. Previous profits are treated as “sunk profit”! Past lifetime value focuses only on past profits; there are still different ways to define it Profit Year Future lifetime value calculated at some point in time Expected profit each year reduced by probability of termination Past lifetime value

towerswatson.com © 2012 Towers Watson. All rights reserved. 11 Value at risk from churn (VaR) Value at Risk from churn (VaR) is appropriate measure on which to segment customers for retention purposes Knowing VaR does not tell you whether or not you can impact it, but it is a good start Year Value at Risk from Churn Profit

towerswatson.com © 2012 Towers Watson. All rights reserved. 12 More customer value definitions CLV is a framework rather than a single metric. There is no single measure of customer value that is suitable for all purposes. Potential CLV measures include: Future lifetime value: The expected future value of an existing customer at a specific point in time Past lifetime value: The past value of an existing customer until this point in time Value at Risk from churn: The difference between the value of a customer assuming no churn and the expected value allowing for the probability of churn Acquisition lifetime value: The expected value of the customer at the time of acquisition, including acquisition costs specific to the distribution channel Expected cross-sales lifetime value: The expected lifetime value resulting from cross-sales Whole of wallet lifetime value: The potential lifetime value taking into account all P&C insurance, life insurance and financial products …and more definitions exist!

towerswatson.com © 2012 Towers Watson. All rights reserved. Why do we need different CLV measures? Different applications require different definitions Example: A high-profit customer with minimum likelihood of termination — E.g., a customer with multiple cars and good insurance score Traditional customer value measures such as future lifetime value identify the customer as being very high value From a churn perspective, there is little value in investing retention marketing budget on a customer unlikely to leave Future lifetime value should guide decisions regarding acquisition of new customers or service levels of current customers VaR should guide decisions regarding retention campaigns Neither measures provide any guidance on cross-sell activities 13

towerswatson.com © 2012 Towers Watson. All rights reserved. 14 Choosing a definition can be a challenge “The most important observation is that ‘value’ is a relative concept and will vary depending upon your business objectives.” “This ambiguity [of the definition of value] is the cause of most of the difficulties experienced. Without clear framework and set of objectives, every calculation will be wrong for somebody within your organization, and you will remain mired in politics, almost from day one.” — Valoris Abram Hawkes

towerswatson.com © 2012 Towers Watson. All rights reserved. Proprietary and Confidential. For Towers Watson and Towers Watson client use only. The mechanics of calculating CLV 15

towerswatson.com © 2012 Towers Watson. All rights reserved. 16 Key questions to ask before starting Strategic questions: What is the purpose of the model? Who will use it? Marketing CRM …or something/someone else? Is the model meant to inform micro or macro decisions? Models that optimize local decisions often provide suboptimal answers from the broader business prospective and vice versa Decision would impact how to include fixed expenses and/or cost of capital Tactical questions: What lines of business should I include? What time horizon should I use? Aggregate over households or customers?…or something else?

towerswatson.com © 2012 Towers Watson. All rights reserved. 17 Calculation framework — one possible approach Framework for calculating future lifetime value of either a newly acquired customer or an existing customer Estimate “policy lifetime value” of each existing policy Estimate a one-year expected value of each policy Estimate expected value of each policy for each future year The policy lifetime value is the sum of all future year values, reduced by the probability of churn Add the policy lifetime value of all existing policies Estimate the potential value of cross-sales

towerswatson.com © 2012 Towers Watson. All rights reserved. 18 Calculation of a policy lifetime value We will use a “simple” definition of value: Profit = Revenue – Cost Revenue PremiumInvestment income Expected claims cost Acquisition cost ProfitFuture profits Expenses Modelling over time Fixed expenses TaxesCost of capital Policy lifetime value Cost of capital CommRenewal probability +*=

towerswatson.com © 2012 Towers Watson. All rights reserved. 19 Revenue Estimate the premium that you expect to charge in the future. This involves: Deciding on which rating plan to use Aging each policy Alternative approaches: Build a premium multiplier model — Use historical view of your current book of business — Score it using your current premium model — Build a model to calculate a multiplier to apply to this year’s premium to estimate future premium — Beware of double counting the impact of churn! At minimum, investment income should depend on the product type Revenue PremiumInvestment income

towerswatson.com © 2012 Towers Watson. All rights reserved. 20 Expenses Expected claim loss is different from losses used to calculate premium New predictors that were not used in the premium model New interactions can be used Different techniques can be used Be careful how to treat strategic and conscious subsidies Do not forget to add expected excess and CAT losses Do not use acquisition cost for current customers; however, add the cost of retention efforts if you can estimate it Expected claims cost Acquisition cost Expenses Fixed expenses Taxes Comm Cost of capital Cost of capital

towerswatson.com © 2012 Towers Watson. All rights reserved. 21 Should we include fixed expenses and cost of capital? It depends on the application! If you decide to include fixed expenses, be consistent Flat cost per policy Flat cost per risk (for example, fixed fee per vehicle) …or something else Expected claims cost Acquisition cost Expenses Fixed expenses Taxes Comm Cost of capital Cost of capital

towerswatson.com © 2012 Towers Watson. All rights reserved. 22 Retention In contractual products, a common assumption is that customers who do not renew are considered “lost for good” Reasonable assumption, but underestimates the CLV of a customer Defining termination could be ambiguous Standard techniques to model retention: Logistic regression Survival analysis Several different types of variables can be used for retention modeling: Rating variables: — Age, insurance score, number of policies, etc. Other variables: — Household characteristics — Competitive position — Distribution channel

towerswatson.com © 2012 Towers Watson. All rights reserved. 23 Putting it together Cross-sell modeling: Focus on the lines that will have an impact on the CLV The value of a $100 policy that has a 5% probability of being sold in the next five years is a rounding error Focus first on Auto and Home unless you write a large volume of specialty products Modeling a one-line cross-sell becomes easier — logistic regression could be used Calculating the value of the cross-sold product is not straightforward — We only know the customer Auto policy information, but we need to calculate the value of the home policy that will be sold! Final step: CLV is the sum of the policy lifetime value of the policies that the customer has plus the value of the cross-sell opportunity Difficult to include value of life and annuity policies

towerswatson.com © 2012 Towers Watson. All rights reserved. 24 Contact Mohamad Hindawi, PhD, FCAS Towers Watson