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Class 2 - Pooling
Math 3620 - Class 2 - Pooling & Probability
Question | Answer |
---|---|
Variance of Probability | σ^2=Σ(prob. of loss)((amount of loss) - (AL x PL)) |
Standard Deviation | squar(σ^2)=σ |
Correlation to standard deviation and chances of loss | The higher the standard deviation, the higher the uncertainty of loss |
Pooling | Spreading losses incurred by the few over the entire group |
How to find the SD of many people in a pool | SD(of the individual)/squar(N) |
Good things about Pooling | -Pooling reduces each participants risk -Predictability increases w/ the # of people |
Costs of Pooling Arrangements | -Adding people for marketing & underwriting -Verifying Losses -Collecting Assessments -Contracting |
Why fixed premiums? | -Cost of collecting assessments -w/ assessments, may be a delay in payments to insured -Assessments hold greater uncertainty to the insured |