Abstract
We have come a long way in our thinking about surplus requirements and the amount of premium that can be written comfortably - confident of our company's immortality. As a student some years back I vaguely remember reading: if an insurer had a mean composite ratio of 100% with a standard deviation of 10% and if ruin were restricted to a probability of .001 of occurring, then using a normal approximation for the distribution of composite results, the maximum composite ratio which could be withstood would be 131% (100 + 3.1 x 10). Hence, one shouldn't write at more than a 100/31 or approximately 3:1 written premium to surplus ratio.
Volume
May
Page
367-375
Year
1979
Categories
Financial and Statistical Methods
Risk Pricing and Risk Evaluation Models
Capital Theory
Financial and Statistical Methods
Risk Pricing and Risk Evaluation Models
Probability of Ruin
Financial and Statistical Methods
Risk Pricing and Risk Evaluation Models
RAROC
Financial and Statistical Methods
Risk Pricing and Risk Evaluation Models
Traditional Risk Load (Profit Margin);
Publications
Casualty Actuarial Society Discussion Paper Program