401-3917-00L  Stochastic Loss Reserving Methods

SemesterSpring Semester 2018
LecturersR. Dahms
Periodicityyearly recurring course
Language of instructionEnglish

Catalogue data

AbstractLoss Reserving is one of the central topics in non-life insurance. Mathematicians and actuaries need to estimate adequate reserves for liabilities caused by claims. These claims reserves have influence all financial statements, future premiums and solvency margins. We present the stochastics behind various methods that are used in practice to calculate those loss reserves.
ObjectiveOur goal is to present the stochastics behind various methods that are used in prctice to estimate claim reserves. These methods enable us to set adequate reserves for liabilities caused by claims and to determine prediction errors of these predictions.
ContentWe will present the following stochastic claims reserving methods/models:
- Stochastic Chain-Ladder Method
- Bayesian Methods, Bornhuetter-Ferguson Method, Credibility Methods
- Distributional Models
- Linear Stochastic Reserving Models, with and without inflation
- Bootstrap Methods
- Claims Development Result (solvency view)
- Coupling of portfolios
LiteratureM. V. Wüthrich, M. Merz, Stochastic Claims Reserving Methods in Insurance, Wiley 2008.
Prerequisites / NoticeThe exams ONLY take place during the official ETH examination periods.

This course will be held in English and counts towards the diploma "Aktuar SAV".
For the latter, see details under www.actuaries.ch.

Basic knowledge in probability theory is assumed, in particular conditional expectations.

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
ECTS credits4 credits
ExaminersR. Dahms
Typesession examination
Language of examinationEnglish
RepetitionThe performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examinationoral 30 minutes
Additional information on mode of examinationLanguage of examination: English or German / Prüfungssprache: Deutsch oder Englisch
This information can be updated until the beginning of the semester; information on the examination timetable is binding.

Learning materials

Teaching document repositoryLehr-Dokumentenablage / Teaching document repository
Only public learning materials are listed.


401-3917-00 VStochastic Loss Reserving Methods2 hrs
Wed16-18ML E 12 »
09.05.16-17ML E 12 »
R. Dahms


No information on groups available.


There are no additional restrictions for the registration.

Offered in

Doctoral Department of MathematicsGraduate SchoolWInformation
Mathematics (General Courses)Actuary SAA Education at ETH ZurichWInformation
Mathematics BachelorSelection: Financial and Insurance MathematicsWInformation
Mathematics MasterSelection: Financial and Insurance MathematicsWInformation
Quantitative Finance MasterMathematical Methods for FinanceWInformation