NMAA06052U Topics in Life Insurance (Liv2)
MSc Programme in Actuarial Mathematics
The course builds on Markov models in life insurance with special emphasis on techniques related to mathematical finance. This relates to insurance products which also contain investment parts which are priced under market conditions. They include unit linked (or equity linked) insurance and classical products with guarantees and dividend and bonus options.
Review of Markov processes and bond market/interest theory is an integrated part of the course, and a number of special models exemplify the main theory of insurance policies with payments linked to capital gains.
At the end of the course the student is expected to have:
Knowledge about life insurance models involving financial risk, term structure theory, surplus and bonus, market reserves in life insurance, cash dividends and unit-link insurance.
Skills to build adequate Markovian models for market values in life insurance under different bonus strategies and to derive and solve partial differential equations for their solution.
Competences in; defining payment streams in financial insurance models; specializing the general models to concrete insurance contracts involving both diversifiable and financial risks; defining hedging schemes; defining and relating different versions of market values of cashflows within a general bond market; discussing the influenze a stock market has on the market values; analysing elementary unit-link products and relating these to insurance and bonus; utility theory.
Academic qualifications equivalent to a BSc degree is recommended.
- Theory exercises
- 7,5 ECTS
- Type of assessment
- Oral examination, 30 minutesNo time for preparation, but the exam question will be published weeks before the exam. The student is expected to pick out and present relevant definitions, theorems and proofs regarding the topics of the particular exam question in hand (duration 20 min). After the presentation questions within curriculum will be asked.
- Exam registration requirements
The compulsory exercise from the first part of the course must be approved in order to gain access to the final oral exam.
- Without aids
- Marking scale
- 7-point grading scale
- Censorship form
- External censorship
Same as the ordinary exam. If the compulsory exercise has not been approved before the ordinary exam it must be (re)submitted. It must be approved no later than three weeks before the beginning of the re-exam week.
Criteria for exam assesment
The student must in a satisfactory way demonstrate that he/she
has mastered the learning outcome of the course.