- Department: Mathematics
- Credit value: 20 credits
- Credit level: M
- Academic year of delivery: 2023-24
- See module specification for other years: 2024-25
This module aims to provide a comprehensive and systematic introduction to statistical models and methods to analyse insurance and financial time series data.
Pre-requisite modules
Co-requisite modules
- None
Prohibited combinations
- None
Occurrence | Teaching period |
---|---|
A | Semester 2 2023-24 |
This module aims to provide a comprehensive and systematic introduction to statistical models and methods to analyse insurance and financial time series data.
By the end of the module, students should be able to:
Analyse insurance data using distributions and inferential techniques.
Apply appropriate methodologies to model insurance risks in different situations.
Use statistical theory in the analysis of insurance data.
Demonstrate knowledge of the basic characteristics of financial data, and apply financial time series models to such data.
Derive theoretical results relating to important financial time series models.
Fit appropriate models to time series data, and carry out related predictions using appropriate computer software.
This module is divided into two parts. In part (i), we introduce statistical models and methods to analyse the insurance data and cover the following four topics: claims reserving with run-off triangles, loss distributions, risk theory and ruin theory. In part (ii), we provide a comprehensive and systematic introduction to financial time series models and their applications to modelling and prediction of financial time series data, covering the following topics: returns & their characteristics; simple linear time series models & their applications; univariate volatility modeling & its implications.
Task | % of module mark |
---|---|
Closed/in-person Exam (Centrally scheduled) | 100 |
None
Task | % of module mark |
---|---|
Closed/in-person Exam (Centrally scheduled) | 100 |
Current Department policy on feedback is available in the student handbook. Coursework and examinations will be marked and returned in accordance with this policy.
Boland, P. (2011). Statistical and Probabilistic Methods in Actuarial Science. Chapman & Hall/CRC Interdisciplinary Statistics.
Dickson, D. (2010). Insurance Risk and Ruin. International Series on Actuarial Science, Cambridge University Press.
Kaas, R., Goovaets, M. and Dhaene, J. (2008). Modern Actuarial Risk Theory: Using R. Springer
Ruey S. Tsay (2010), Analysis of Financial Time Series, Wiley.