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Introduction to Reinsurance Reserving
Casualty Loss Reserve Seminar Scottsdale, Arizona - September 13, 1999 Leslie Marlo - Senior Manager KPMG LLP kpmg
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Applications, Complications, and Considerations
Loss Development Method Loss Ratio Method Bornhuetter-Ferguson Others kpmg
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Applications, Complications, and Considerations
Parameter estimation very difficult Data Other Considerations Qualitative information kpmg
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Loss Development Method
Application same as for primary business kpmg
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Loss Development Method
For non-proportional business, may develop individual losses by layer: kpmg
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Loss Development Method
Potential Problems Selection of LDFs ----> Variability Tail Estimation Changes in Exposure No claims = No IBNR, Large claims = Large IBNR Paid Development kpmg
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Loss Development Method Potential Problems
Selection of LDFs ----> Variability Treaty vs. Facultative
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Treaty vs. Facultative Historical Loss Development Automobile Liability
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Loss Development Method Potential Problems
Selection of LDFs ----> Variability Treaty vs. Facultative Attachment Point
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Impact of Attachment Points on Historical Loss Development Automobile Liability
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Loss Development Method Potential Problems
Selection of LDFs ----> Variability Treaty vs. Facultative Attachment Point Loss Portfolio Transfers Commutations Line of Business Mix Catastrophes kpmg
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Loss Development Method Potential Problems
Tail Estimation kpmg
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Loss Development Method Potential Problems
Tail Estimation Industry Benchmarks RAA ISO/A.M. Best/NCCI with lags Comparability with your company? Curve Fitting Inverse Power Curve: Y = 1 + a(t)-b Development may never end Judgment kpmg
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Loss Development Method Potential Problems
Changes in Underlying Exposure Attachment Points / Limits Line of Business Mix Understanding the Data kpmg
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Loss Development Method Potential Problems
Paid Development Method Not very common for reinsurance reserving Little data No industry benchmarks on development May be appropriate for property or low limit proportional business kpmg
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Loss Ratio Method Ultimate loss = Earned Premium x Expected Loss Ratio
kpmg
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Loss Ratio Method Useful for new business or immature years
Picking the loss ratio: Past experience (rate changes, trends) Underwriting considerations Market considerations Adjust for changes in coverage kpmg
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Loss Ratio Method Potential Problems Loss Ratio Triangles
Ignores actual experience ----> potential for negative IBNR Premium develops too ----> need to estimate development technique underwriter input Loss Ratio Triangles kpmg
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