June 2006 CARE Robert Eramo - Risk Assessment & Strategies,Inc. and Representative of Insureware
Method & Background Measure Process & Parameter Risk Use Insureware’s ICRFS Apply to Individual Triangles First Compare Triangles to Find Parameter Correlations
Process & Parameter Risk Coin Flip Example Variability of # of Heads due to the basic process and Knowing Fairness of Coin Triangles likewise have similar contributors to Variability of Outcome
Loss Outcome Variability Size of Book – Main Source Of Process Risk Relative Variance Higher For Book of Claims With 100 Expected Claims vs Expected Claims Trends in Development and Calendar Inflation are Key parameters Knowledge Of Parameters Uncertain
Triangle Parameter Risk Usually Not dependent of co.’s size of book Therefore Increased Size Does Not Diversify Way to Improve Knowledge of Parameters ICRFS Example
Large Company Two Major Subsidiaries BOT POT Can Analyzing Both Simultaneously Improve Knowledge of Parameters First Note Initial Separate Models Look at Parameters For BOT Explicitly
Separate Models BOT POT Note t-statistics of development and calendar yr. parameters Specifics
Combined Model Benefits Note New Model Displays T-statistics specifics Comparison of Independent Models
Pot Development Parameter & t-Statistics Modeled Alone Dev Period Dev Period Dev Period Trend T-Statistic
Pot Development Parameter & t-Statistics Modeled in Composite Dev Period Dev Period Dev Period Trend T-Statistic
Pot Calendar Parameter & t-Statistics Modeled Alone Cal Period Cal Period Trend.1827 T-Statistic10.09
Pot Calendar Parameter & t-Statistics Modeled in Composite Cal Period Cal Period Trend.1792 T-Statistic 10.18
Application to Company vs. Statewide Experience Model Company & State Separately If there are reasonable correlations parameter uncertainty for company A model can be reduced
Application to Excess Layers Model Layers Separately Improve Knowledge of Parameters in XS Pricing