|Year of offer||2017|
|Fees||Subject EFTSL, Level, Discipline & Census Date|
Topics include premium principles, including variance principle, Esscher principle, risk adjusted principle; applications of utility theory, premium calculation and optimal reinsurance retention levels; reinsurance problems; ruin theory, Lundberg's inequality, explicit solutions for the probability of ultimate ruin, application of Panjer's recursion formula, the probability and severity of ruin, the effect of reinsurance on ruin probabilities.
- Apply relevant pre-requisite knowledge of mathematics, probability theory and statistics in the solution of a range of practical problems;
- Describe the basic concepts of utility theory and apply them to insurance problems;
- Explain the concepts of a premium calculation principle and show whether a premium calculation principle satisfies certain properties;
- Derive Lundberg's inequality;
- Describe the effect of simple reinsurance arrangements on ruin probabilities;
- Derive explicit solutions for the ruin probability in the classical risk model;
- Calculate approximations to ruin probabilities, explaining the rationale behind each approach.
High level of development: written communication; problem solving; statistical reasoning; application of theory to practice; interpretation and analysis.