Managing Overconfidence Douglas J. Collins, FCAS, MAAA doug.collins@towersperrin.com Tillinghast London (Tel: 44 (0)207 170 2162) CAE Zurich – 23 April 2004 Many factors contribute to errors (and bias!) in pricing and underwriting Common Sources of Pricing and Underwriting Error/Bias (Micro) Inadequate internal [historical] data upon which to develop estimates (e.g., old, incomplete or inaccurate data; inadequate/inappropriate sample) Systemic Sources of Pricing and Underwriting Error/Bias (Macro) Long feedback loop No skin in the game Inability to collect and synthesize all relevant sources of data within the organization Lack of reliable information about external market conditions and trends (e.g., inflation, tort costs) Excessive concern for “competitive pressures” Lack of adequate oversight over pricing decisions Lack of “metaknowledge” — reinforces inherent overconfidence when making estimates, forecasts and predictions © Copyright Towers, Perrin, Forster & Crosby, Inc 2 The results of a recent Tillinghast “Confidence Quiz” illustrate the prevalence of overconfidence Tillinghast Confidence Quiz The Quiz Objective: To test respondents understanding of the limits of their knowledge Raw Scores of Online Respondents Number of Respondents 0 29 1 Respondents were asked to answer ten questions related to their general knowledge of the global property/casualty industry For each answer, respondents were asked to provide a range that offered a 90% confidence interval that they would answer correctly 67 2 56 3 69 4 44 5 44 6 28 7 18 8 Ideally (i.e., if “well calibrated”), respondents should have gotten nine out of ten questions correct 12 9 10 7 0 Note: based on 374 respondents as of 4/5/04. Profile of respondents: 86% work in P/C industry; 73% are actuaries. © Copyright Towers, Perrin, Forster & Crosby, Inc 3 The best way to manage overconfidence is to implement a control cycle for pricing and underwriting The Control Cycle: Retrospective Test of Pricing/Underwriting 1. Pricing and Underwriting Process Elements Data required 3. Formal Retrospective Performance Testing Actuarial methods Data accurate and 1. Define/Refine Process adequate? employed Underwriting policies and rules 3. Measure Performance Decision authorities and reporting Quality assurance 2. Implement Process Pricing methods sufficiently robust? Policies and rules effective? Decision authorities appropriate? Variances between projected and actual experience within tolerances? A control cycle for P/C pricing and underwriting entails identifying, testing and validating all of the assumptions that underlie the projection of future loss costs used to price and underwrite the business © Copyright Towers, Perrin, Forster & Crosby, Inc 4 While improving pricing/underwriting requires a sustained commitment over time, three near-term steps will jump start the process Retrospective Analysis Analyze relevant sample of pricing and underwriting results to identify/pinpoint specific causes and sources of error Define (or refine) and institutionalize an ongoing Process Design/Refinement Case-study Training © Copyright Towers, Perrin, Forster & Crosby, Inc process of continuous improvement (i.e., control cycle) for pricing and underwriting Incorporate insights from retrospective analysis to address key challenges and deficiencies Develop/institute case-study oriented training modules for underwriters and pricing actuaries to provide practical experience and rapid feedback Base training materials on past business where results are already known 5 Managing overconfidence in pricing and underwriting Pricing Element Best Estimate Standard Deviation 90% Confidence Low High Historical experience not fully credible 957 5.0% 897 1,020 Historical experience not fully mature 191 20.0% 146 242 1,149 6.7% 1,052 1,249 138 50.0% 67 226 10 200.0% 1 23 1,297 12.0% 1,105 1,500 610 33.0% 383 874 1,906 17.3% 1,508 2,340 -20.9% 22.7% Subtotal Ultimate Historical Loss Costs Frequency and severity changes Mix of business or underlying exposure changes Subtotal Projected Future (Attritional) Loss Costs Non-attritional loss elements Total Projected Expected Future Loss Costs © Copyright Towers, Perrin, Forster & Crosby, Inc 6