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To insert your company logo on this slide From the Insert Menu Select “Picture” Locate your logo file Click OK To resize the logo Click anywhere inside the logo. The boxes that appear outside the logo are known as “resize handles.” Use these to resize the object.
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To insert your company logo on this slide • From the Insert Menu • Select “Picture” • Locate your logo file • Click OK • To resize the logo • Click anywhere inside the logo. The boxes that appear outside the logo are known as “resize handles.” • Use these to resize the object. • If you hold down the shift key before using the resize handles, you will maintain the proportions of the object you wish to resize. Making Sense of Your Loss Ratios – Is it the Dealer, the Rates or Just Luck? Lee Bowron, ACAS, MAAA John Kerper, FSA, MAAA
Loss Ratio • Financial Measure • Incurred Claims / Earned Premium
Loss Ratio • Predictive Measure • Ultimate Claims / Written Premium
Loss Ratio – Sources of Deviation • Earnings Pattern • Customer Adverse Selection • Mix / Pricing • Dealer • Credibility
Earnings Pattern • Predetermined amounts of earnings for system reports • Rule-of-thumb curves (pro-rata, reverse rule of 78s) should be avoided in most cases
Earnings Pattern • Match earnings to claims pattern • The most common method is to estimate loss costs per contract by month, using loss triangles • Loss costs are then trended to the evaluation date
Earnings Pattern:Issues with Method • Data may not be available at later durations for long-term contracts • Older data may not be appropriate • Subdividing data will likely decrease credibility
Earnings Pattern:Issues with Method • Types of programs with problems • Manufacturer warranty changed • Underlying mix has shifted • New vehicle program with limited experience
Earnings Pattern:An Alternative Approach • Instead of claims as a function of time, claims as a function of miles driven • Claims = Miles Driven * Cost per Mile * Trend Factor
Earnings Pattern:An Alternative Approach • Exposure is miles driven while covered by VSC and past manufacturer warranty • Calculate claims per mile driven • Project future miles driven and use cost per mile to determine earned percent and estimate future claims
Earnings Pattern:Recommended Reading “An Exposure Based Approach to Automobile Warranty Ratemaking and Reserving” Authors:John Kerper & Lee M. Bowron www.kerper-bowron.com
Customer Adverse Selection • Excess early claims • Common in direct market, service bay and high mileage programs • Can adjust earnings pattern
Mix / Pricing • If every possible rate priced to same loss ratio, no impact • If not, incurred loss ratio will change over time (faster earning products may be performing better or worse) • Ultimate loss ratio should not change much
Dealer • Service writers look for services in addition to customer complaint • Labor rates • Reinsurance / profit participation • Dealer competitively rates multiple service contracts
Credibility • High frequency / low severity line • To an actuary, that means the claim volume needed to develop accurate models is relatively low • Credibility issues when exposure is limited (modeling the “miles driven” increases credibility)
Making the determination • Develop cost factors that take all factors into account • Make / model • Coverage • Initial mileage / Age of vehicle • Term • Deductible • Region
Making the determination • Estimate claims for past 12-24 months for each dealer • Calculate ratio of actual claims to estimated claims • Ratios close to 100% indicate that dealer performance is average
Making the determination • Determine credibility from amount of exposure miles during study period • Project future claims (adjusted for dealer performance) • Calculate Ultimate loss ratio • (Incurred claims + Projected claims)/ Written Premium
Making the determination • When dealer ultimate loss ratio varies dramatically from target: • If credibility is low – results are random (luck), unless extremely bad • If credible and dealer ratio is close to 100%, then pricing is the cause • Otherwise, the dealer is impacting the results directly