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Actuarial Modelling

  • Teacher(s):   E.Hashorva  
  • Course given in: English
  • ECTS Credits: 6 credits
  • Schedule: Autumn Semester 2021-2022, 2.0h. course + 2.0h exercices (weekly average)
  •  sessions
  • site web du cours course website
  • Related programme: Master of Science (MSc) in Actuarial Science
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Objectives

Modern actuarial models with strong business relevance such as price and loss reserve optimisation, customer segmentation, dynamic monitoring, risk and customer management require deep understanding of the underlying dependence of multidimensional risks.

The principal goal of this course is to provide a solid background of key building blocks for actuarial modeling of dependent risks with the main emphasis on copulas, multivariate dependence measures, risk measures, risk aggregation, models for multivariate extremes and measures of extremal dependences. The R-Project will provide an essential experimental platform for testing various models. Additional facultative materials include several past projects.

Contents

  1. Modelling dependent risks
  2. Copulas and transforms
  3. Dependence measures
  4. Dependence models for large risks using mulivaiate Extrem Value Theory
  5. Risk measures & aggregation
  6. Projects on price optimisation, portfolio cleaning, customer future value, modelling of large losses, SST (facultative reading)

References

  1. Denuit, M., Dhaene, J., Goovaerts, M., and Kass, R. (2006) Actuarial Theory for Dependent Risks: Measures, Orders and Models. Wiley
  2. Asmussen, S., and Steffensen, M. (2020) Risk and Insurance. Springer
  3. Reiss, R-D., and Thomas, M. (2007) Statistical Analysis of Extreme Values: From Insurance, Finance, Hydrology and Other Fields. 3rd Edt, Birkhäuser
  4. Embrechts, P., Klüpelberg, C., and Mikosch, T. (1997) Modeling extremal events for finance and insurance. Springer

Evaluation

First attempt

Exam:
Written 3h00 hours
Documentation:
Not allowed
Calculator:
Not allowed
Evaluation:

Course Grade = Grade Final Exam

Retake

Exam:
Written 3h00 hours
Documentation:
Not allowed
Calculator:
Not allowed
Evaluation:

Course Grade = Grade Final Exam



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