Basic Non-Life Insurance Mathematics (Skade1)
Course content
The course will give an overview of some important elements of
non-life insurance and reinsurance:
Models for claim numbers: the Poisson, mixed Poisson and renewal
process.
Stochastic models for non-life insurance risks, in particular the
compound Poisson, compound mixed Poisson and renewal models.
Large and small claims distributions.
Premium calculation principles for the total claim amount of a
portfolio.
Experience rating: calculation of the premium in a policy.
Bayes estimation and credibility theory.
BSc Programme in Actuarial Mathematics
At the end of the course, the students are expected to have the
following knowledge:
Definition and properties of claim number processes; in particular
Poisson processes, mixed Poisson processes and renewal processes.
Definition and properties of total claim amount processes in a
portfolio.
The Cramer-Lundberg and the renewal model as basic risk models.
Methods for approximating the distribution of risk models.
Small and large claim distributions and their properties.
Premium calculation principles and their properties.
Reinsurance treaties and their properties.
Bayesian methods in a non-life insurance context, in particular the
Bayes and linear Bayes estimators for calculating the premium in a
policy.
The student will gain the following skills:
-Calculation of distributional characteristics of
the claim number and total claim amount processes, in particular
their moments.
-Calculation of premiums for a non-life (re)insurance
portfolio and a non-life individual policy.
-Statistical skills for analysizing small and large claim
data.
-Risk analyses in a non-life portfolio.
-Proficiency in Bayesian methods in a non-life insurance context.
Competences:
At the end of the course, the student will be able to
relate and illustrate theory and practice in a non-life insurance
company.
The student will be able to read the actuarial non-life literature
and be operational in premium calculation and risk
analysis.
5 hours of lectures and 3 hours of exercises per week for 7 weeks.
Examples on course literature:
T. Mikosch. Non-Life Insurance Mathematics.
An Introduction with the Poisson Process.
2nd edition, Springer 2009
Basic knowledge of probability theory, statistics and stochastic
processes:
Sandsynlighedsteori (Sand2) - alternatively Mål- og integralteori
(MI) from previous years. Forsikring og jura 1 (Forsik&Jura1)
or similar courses.
Oral feedback will be given to the students’ presentations in class.
- ECTS
- 7,5 ECTS
- Type of assessment
-
Written examination, 3 hours under invigilation
- Aid
- Written aids allowed
Open book, but no electronic aids are allowed.
- Marking scale
- 7-point grading scale
- Censorship form
- External censorship
- Re-exam
-
30 minutes oral examination with no preparation and no aids.
Criteria for exam assessment
The student should convincingly and accurately demonstrate the knowledge, skills and competences described under Intended learning outcome.
Single subject courses (day)
- Category
- Hours
- Lectures
- 35
- Preparation
- 147
- Theory exercises
- 21
- Exam
- 3
- English
- 206
Kursusinformation
- Language
- English
- Course number
- NMAA05070U
- ECTS
- 7,5 ECTS
- Programme level
- Bachelor
- Duration
-
1 block
- Placement
- Block 4
- Schedulegroup
-
C
- Capacity
- No limit
The number of seats may be reduced in the late registration period - Studyboard
- Study Board of Mathematics and Computer Science
Contracting department
- Department of Mathematical Sciences
Contracting faculty
- Faculty of Science
Course Coordinator
- Thomas Valentin Mikosch (7-6f6b6d7175656a426f63766a306d7730666d)
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Kursusinformation for indskrevne studerende