Insurance and Risk Theory

ISBN-13: 9789401085533 / Angielski / Miękka / 2011 / 488 str.

Marc Goovaerts; F. Etienne de Vylder; J. Haezendonck

Opis

Canadian financial institutions have been in rapid change in the past five years. In response to these changes, the Department of Finance issued a discussion paper: The Regulation of Canadian Financial Institutions, in April 1985, and the government intends to introduce legislation in the fall. This paper studi.es the combinantion of financial institutions from the viewpoint of ruin probability. In risk theory developed to describe insurance companies 1,2,3,4,5J, the ruin probability of a company with initial reserve (capital) u is 6 1 -: -7;;f3 u 1jJ(u) = H6 e H6 (1) Here, we assume that claims arrive as a Poisson process, and the claim amount is distributed as exponential distribution with expectation liS. 6 is the loading, i.e., premium charged is (1]6) times expected claims. Financial institutions are treated as "insurance companies": the difference between interest charged and interest paid is regarded as premiums, loan defaults are treated as claims

Spis treści

Opening session.- Invited lecture : Risk Theory, a Tool for Management?.- Main lectures.- Economic Ideas in Risk Theory.- Simulation in Insurance.- Application of the Problem of Moments to Various Insurance Problems in Non-life.- Application of Martingales in Risk Theory.- Applications of Operations-Research Techniques in Insurance.- Recent Research on the Risk Return Relationship in Financial Economics.- General Regression in Multidimensional Credibility Theory.- Ruin Theory under the Submartingale Assumption.- A rigorous Proof of a Property of the Premium Principle of Zero Utility in the Case of Additivity.- Bayesian Credibility with a Noninformative Prior.- Short communications.- Separation Theorems in Proportional Reinsurance.- A new Treatment of the Engineering Aspects of the “Zero-Infinity Dilemmas” of Industrial Risk Management.- On a Functional-Differential Equation connected with the Premium Principle of Zero Utility.- Markov Processes between Moving Barriers — Moments of the first Hitting Time of Retaining or Absorbing Barrier.- Some Mathematical Aspects of Combining Proportional and Non-Proportional Reinsurance.- The Moments of Compound Interest Functions when Interest fluctuates as a Compound Markov Chain.- Pension Funding and random Rates of Return.- Bayes Criterion, the Minimax Principle and Statistical Decision Theory.- Large Claims —.- Some Numerical Methods for Calculating Semilinear Credibility Estimators.- Weak Convergence of Risk Processes.- On the Exposed to Risk Theory.- Probability Bounds on Compound Distributions with given Moments on Claim Severities.- Additivity and Premium Calculation Principles.- Computing Moments of Compound Distributions.- Portfolio Valuation in Life Insurance.- Risk Assessment of Merger, Acquisition, and Consolidation of Financial Services.- Extending Arrow-Pratt Risk Premiums.- On Optimal Deductibles.- Solvency Margin and Profit in Life Insurance.- Statistical Methods in General Insurance.- Modelling Motor Insurance Claim Frequencies.- General Bounds on Ruin Probabilities.- Strict Liability and Insurance under Loss Misestimation.