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Actuarial Modelling III (ACTL30007)
Undergraduate level 3Points: 12.5On Campus (Parkville)
For information about the University’s phased return to campus and in-person activity in Winter and Semester 2, please refer to the on-campus subjects page.
About this subject
- Overview
- Eligibility and requirements
- Assessment
- Dates and times
- Further information
- Timetable(opens in new window)
Contact information
Semester 1
Prof. Benjamin Avanzi: b.avanzi@unimelb.edu.au
Please refer to the LMS for up-to-date subject information, including assessment and participation requirements, for subjects being offered in 2020.
Overview
Availability | Semester 1 |
---|---|
Fees | Look up fees |
This subject aims to provide a grounding in stochastic modelling techniques that are of particular relevance to actuarial work in general insurance, covering loss distribution with and without risk sharing, calculation of moments and moment generating function of aggregate claims, recursion formulae, effect of reinsurance, individual risk model involving recursion formulae and approximations, modelling dependence by copulas, extreme value theorems and applications, and time series models.
Intended learning outcomes
On completion of this subjects, students should be able to:
- Apply relevant pre-requisite knowledge of mathematics, probability theory and statistics in the solution of a range of practical problems.
- Derive and calculate probabilities for, and moments of, loss distributions both with and without simple reinsurance arrangements.
- Estimate the parameters of a loss distribution when data is complete or incomplete.
- Fit a statistical distribution to a dataset and perform goodness-of-fit tests.
- Construct risk models appropriate for short term insurance contracts and derive both moments and moment generating functions for aggregate claim amounts under these models with and without simple forms of proportional and excess of loss reinsurance.
- Derive recursion formulae and apply approximation methods to calculate aggregate claims distributions.
- Describe and apply copulas to model dependent risks.
- Apply extreme value theory in modelling the distribution of severity of loss.
- Describe and apply the main concepts and properties underlying the analysis of several time series models.
Generic skills
High level of development: written skills; problem solving; statistical reasoning; application of theory to practice; interpretation and analysis; use of computer software
Last updated: 3 November 2022
Eligibility and requirements
Prerequisites
For 2020, students must have completed both of:
Code | Name | Teaching period | Credit Points |
---|---|---|---|
MAST20005 | Statistics |
Semester 2 (On Campus - Parkville)
Summer Term (On Campus - Parkville)
|
12.5 |
ACTL20002 Financial Mathematics II
From 2021, students must have completed both of:
Code | Name | Teaching period | Credit Points |
---|---|---|---|
ACTL20003 | Stochastic Techniques in Insurance | Semester 2 (On Campus - Parkville) |
12.5 |
MAST20005 | Statistics |
Semester 2 (On Campus - Parkville)
Summer Term (On Campus - Parkville)
|
12.5 |
Corequisites
None
Non-allowed subjects
None
Recommended background knowledge
Refer to prerequisites
Inherent requirements (core participation requirements)
The University of Melbourne is committed to providing students with reasonable adjustments to assessment and participation under the Disability Standards for Education (2005), and the Assessment and Results Policy (MPF1326). Students are expected to meet the core participation requirements for their course. These can be viewed under Entry and Participation Requirements for the course outlines in the Handbook.
Further details on how to seek academic adjustments can be found on the Student Equity and Disability Support website: http://services.unimelb.edu.au/student-equity/home
Last updated: 3 November 2022
Assessment
Due to the impact of COVID-19, assessment may differ from that published in the Handbook. Students are reminded to check the subject assessment requirements published in the subject outline on the LMS
Description | Timing | Percentage |
---|---|---|
Assignment 1 (Week 5 or 6)
| First half of the teaching period | 15% |
Assignment 2 (Week 10 or 11)
| Second half of the teaching period | 15% |
Final Exam
| During the examination period | 70% |
Last updated: 3 November 2022
Dates & times
- Semester 1
Principal coordinator Benjamin Avanzi Mode of delivery On Campus (Parkville) Contact hours Two 1-hour lectures and one 1-hour tutorial per week Total time commitment 170 hours Teaching period 2 March 2020 to 7 June 2020 Last self-enrol date 13 March 2020 Census date 30 April 2020 Last date to withdraw without fail 5 June 2020 Assessment period ends 3 July 2020 Semester 1 contact information
Prof. Benjamin Avanzi: b.avanzi@unimelb.edu.au
Last updated: 3 November 2022
Further information
- Texts
Prescribed texts
Prescribed textbooks are:
• Wuthrich, Mario V., Non-Life Insurance: Mathematics & Statistics (January 7, 2020). Available at SSRN: https://ssrn.com/abstract=2319328
• Shumway, Robert H., Stoffer, David S. (2017) Time Series Analysis and Its Applications With R Examples, Springer, ISBN 978-3-319-52452-8 - Available through the Community Access Program
About the Community Access Program (CAP)
This subject is available through the Community Access Program (also called Single Subject Studies) which allows you to enrol in single subjects offered by the University of Melbourne, without the commitment required to complete a whole degree.
Entry requirements including prerequisites may apply. Please refer to the CAP applications page for further information.
- Available to Study Abroad and/or Study Exchange Students
This subject is available to students studying at the University from eligible overseas institutions on exchange and study abroad. Students are required to satisfy any listed requirements, such as pre- and co-requisites, for enrolment in the subject.
Last updated: 3 November 2022