ETC3420 Bayesian modelling and risk analysis Unit Guide Semester 2, 2015 Copyright © Monash University 2014. All rights reserved. Except as provided in the Copyright Act 1968, this work may not be reproduced in any form without the written permission of the host Faculty and School/Department. The information contained in this unit guide is correct at time of publication. The University has the right to change any of the elements contained in this document at any time. Last updated: 17 Jul 2015 Table of Contents ETC3420 Bayesian modelling and risk analysis - Semester 2, 2015....................................................1 Mode of Delivery..............................................................................................................................1 Workload requirements....................................................................................................................1 Unit Relationships............................................................................................................................1 Prerequisites........................................................................................................................1 Chief Examiner(s)........................................................................................................................................1 Campus Lecturer(s).....................................................................................................................................1 Clayton.............................................................................................................................................1 Tutor(s)........................................................................................................................................................2 Clayton.............................................................................................................................................2 Your feedback to Us....................................................................................................................................2 Previous Student Evaluations of this Unit....................................................................................................2 Academic Overview...................................................................................................................................3 Learning Outcomes.........................................................................................................................3 Unit Schedule.............................................................................................................................................4 Teaching Approach..........................................................................................................................4 Assessment Summary.....................................................................................................................4 Hurdle Requirements...........................................................................................................5 Second marking...................................................................................................................5 Return of final marks............................................................................................................5 Assessment criteria..............................................................................................................5 Assessment Requirements......................................................................................................................6 Assessment Tasks...........................................................................................................................6 Participation.........................................................................................................................6 Assessment task 1...............................................................................................................6 Assessment task 2...............................................................................................................6 Examination(s).............................................................................................................................................6 Examination 1..................................................................................................................................7 Learning resources......................................................................................................................................7 Feedback to you..........................................................................................................................................7 Extensions and penalties.............................................................................................................................7 Resubmission of assignments.....................................................................................................................7 Referencing requirements...........................................................................................................................7 Assignment submission...............................................................................................................................8 Hard copy submission.....................................................................................................................8 Online submission...........................................................................................................................8 Prescribed text(s) and readings.......................................................................................................8 Recommended Resources..........................................................................................................................8 Recommended text(s) and readings................................................................................................9 Examination material or equipment.............................................................................................................9 Other Information....................................................................................................................................10 Policies..........................................................................................................................................10 Graduate Attributes Policy.................................................................................................10 Student Charter.........................................................................................................................................10 Student services........................................................................................................................................10 Monash University Library.........................................................................................................................10 Moodle 2....................................................................................................................................................11 Disability Liaison Unit................................................................................................................................11 ETC3420 Bayesian modelling and risk analysis - Semester 2, 2015 To provide a further grounding in mathematical and statistical techniques of particular relevance to insurance and financial work. Mode of Delivery Clayton (Day) Workload requirements Minimum total expected workload to achieve the learning outcomes for this unit is 144 hours per semester typically comprising a mixture of scheduled learning activities and independent study. Independent study may include associated readings, assessment and preparation for scheduled activities. The unit requires on average three/four hours of scheduled activities per week. Scheduled activities may include a combination of teacher directed learning, peer directed learning and online engagement. See also Unit timetable information Unit Relationships Prerequisites ETC2520 or MTH2222 Chief Examiner(s) Dr Mike Callan Campus Lecturer(s) Clayton Professor Don Poskitt Campus: Clayton Phone: +61 3 990 59378 Email: Donald.Poskitt@monash.edu Dr Michael Callan Campus: Clayton Phone: +61 3 990 50084 Email: Mike.Callan@monash.edu 1 ETC3420 Bayesian modelling and risk analysis - Semester 2, 2015 Tutor(s) Clayton Mr Raveendran Menon Campus: Caulfield Email: Raveendran.Menon@monash.edu Contact hours: TBA Your feedback to Us Monash is committed to excellence in education and regularly seeks feedback from students, employers and staff. One of the key formal ways students have to provide feedback is through the Student Evaluation of Teaching and Units (SETU) survey. The University’s student evaluation policy requires that every unit is evaluated each year. Students are strongly encouraged to complete the surveys. The feedback is anonymous and provides the Faculty with evidence of aspects that students are satisfied and areas for improvement. For more information on Monash’s educational strategy, see: www.monash.edu.au/about/monash-directions/ and on student evaluations, see: www.policy.monash.edu/policy-bank/academic/education/quality/student-evaluation-policy.html Previous Student Evaluations of this Unit If you wish to view how previous students rated this unit, please go to https://emuapps.monash.edu.au/unitevaluations/index.jsp 2 Academic Overview Learning Outcomes The learning goals associated with this unit are to: 1. explain the concepts of decision theory and apply them 2. calculate probabilities and moments of loss distributions both with and without limits and risk-sharing arrangements 3. construct risk models involving frequency and severity distributions and calculate the moment generating function and the moments for the risk models both with and without simple reinsurance arrangements 4. explain the concept of ruin for a risk model 5. explain the fundamental concepts of Bayesian statistics and use these concepts to calculate Bayesian estimators 6. describe the fundamental concepts of risk rating and apply them to simple experience rating systems 7. describe and apply techniques for analysing a delay (or run-off) triangle and projecting the ultimate position 8. explain the fundamental concepts of a generalised linear model (GLM), and describe how a GLM may apply 9. define and apply the main concepts underlying the analysis of time series models 10. explain the concepts of 'Monte Carlo' simulation using a series of pseudo-random numbers. 3 Unit Schedule Week Activities Assessment 0 No formal assessment or activities are undertaken in week 0 1 Introduction, Run-off triangles and Experience rating 2 Fitting and evaluating loss distributions 3 Reinsurance 4 Risk Models 5 Risk and Reinsurance 6 Ruin theory 7 Generalised linear models 8 Decision Theory 9 Bayesian Theory 10 Bayesian Thoery 11 Credibility theory 12 Credibility theory Assignment 1 due Assignment 2 due SWOT VAC No formal assessment is undertaken SWOT VAC Examination period LINK to Assessment Policy: http://policy.monash.edu.au/policy-bank/ academic/education/assessment/ assessment-in-coursework-policy.html Teaching Approach • Lecture and tutorials or problem classes This teaching and learning approach provides facilitated learning, practical exploration and peer learning. • Other Students will be responsible for some material that will not be covered in detail during lectures. However, students are welcome to approach the lecturers and tutor with questions regarding this material, if needed. Assessment Summary Within semester assessment: 30% Examination: 70% Assessment Task Value Due Date Assignment 1 15% of overall mark Week 6 Assignment 2 15% of overall mark Week 11 Examination 1 70% of overall mark To be advised 4 Unit Schedule Hurdle Requirements To pass this unit the student must achieve a mark of at least 40% in the final examination. Where a mark less than 40% in the final examination is obtained, the maximum final mark will be 48%. A mark of at least 70% is required to obtain exemption from the Actuaries Institute CT6 examination. Second marking Where an assessment task is given a fail grade by an examiner, that piece of work will be marked again by a second examiner who will independently evaluate the work, and consult with the first marker. No student will be awarded a fail grade for an assessment task or unit without a second examiner confirming the result. Note: Exceptions to this are individual pieces of assessment contributing 10% or less of the final mark, unless the total of such pieces exceeds 30% of the final mark. Return of final marks Faculty policy states that 'the final mark that a student receives for a unit will be determined by the Board of Examiners on the recommendation of the Chief Examiner taking into account all aspects of assessment'. The final mark for this unit will be released by the Board of Examiners on the date nominated in the Faculty Calendar. Student results will be accessible through the my.monash portal. Assessment criteria Assessment Criteria Grading Descriptors available at: http://www.policy.monash.edu/policy-bank/academic/education/assessment/ 5 Assessment Requirements Assessment Tasks Participation Students are expected to attend all lectures and tutorials. If consistent absence is required, please discuss directly with the Chief Examiner. • Assessment task 1 Title: Assignment 1 Due date: Week 6 Details of task: Weighting/Value: 15% of overall mark Estimated return date: Assessment coversheet: Students must attach to their assignments a completed copy of the faculty Assignment cover sheet. No assignment will be accepted or marked if it is not accompanied by a signed Assignment cover sheet. Additional information: Students must retain a copy of each assignment until after they have received their final mark for the unit. • Assessment task 2 Title: Assignment 2 Due date: Week 11 Details of task: Weighting/Value: 15% of overall mark Estimated return date: Assessment coversheet: Students must attach to their assignments a completed copy of the faculty Assignment cover sheet. No assignment will be accepted or marked if it is not accompanied by a signed Assignment cover sheet. Additional information: Students must retain a copy of each assignment until after they have received their final mark for the unit. Examination(s) 6 Assessment Requirements • Examination 1 Weighting: 70% of overall mark Length: 3 hours Type (open/closed book): Closed book Electronic devices allowed in the exam: Calculator. Any concerns regarding appropriate calculators should be directed to the Chief Examiner. Learning resources Monash Library Unit Reading List (if applicable to the unit) http://readinglists.lib.monash.edu/index.html Feedback to you Types of feedback you can expect to receive in this unit are: • Informal feedback on progress in labs/tutes • Graded assignments with comments • Other: Students may discuss their progress directly with the Chief Examiner or other Lecturers. Extensions and penalties Applications for assignment extensions must be made in writing to the Chief Examiner. Approval, if granted, will be in writing and will be recorded on the Faculty Assignment cover sheet accompanying the assignment. A penalty of 5% of the mark allocated to the assignment may be deducted for each day that the assignment is late. Resubmission of assignments Generally not permitted without prior arrangement from the Chief Examiner. Referencing requirements Assignments are individual and not group assignments. They are intended to test your achievement of the objectives of the unit. Students therefore must not collaborate or collude in completing their assignments. Any insights or results that come from a source other than the class material or the student who is submitting the assignment (eg, a textbook or another individual) must be acknowledged in writing on the assignment. Failure to appropriately reference resources may result in a penalty, including receiving a mark of zero on the relevant assignment. 7 Assessment Requirements Assignment submission Hard copy submission Students must attach to their assignments a completed copy of the faculty Assignment cover sheet. No assignment will be accepted or marked if it is not accompanied by a signed Assignment cover sheet. Students must retain a copy of each assignment until after they have received their final mark for the unit. Online submission Students must submit a hard copy of their assignment to the lecturer at the end of the lecture on the day (5pm) on which the assignment is due. In addition, where Eviews work files and/or Excel spreadsheets (or other similar software files) have been used to produce the assignment, students must submit an electronic copy of the relevant files to the tutor. However, anything that the student wishes to be formally regarded as part of their assignment must be submitted on paper. Otherwise, electronic submission of assignments is not acceptable, except as explicitly indicated by the lecturer. Prescribed text(s) and readings No textbooks are required, however students may find the recommended materials of assistance. Recommended Resources There is a unit site on Blackboard. Assignment data, tutorial data and other information relevant to the unit will be posted on this site. Students will be provided with lecture slides, not typed lecture notes. However, all the topics discussed in lectures are fully covered in: • Statistical and Probabilistic Methods in Actuarial Science. Boland P. J. Chapman & Hall. 2007. 344 pages. ISBN 1584886951 The following text also covers the course, and contains many exercises: • Core Reading for Institute of Actuaries of UK Subject CT6 Statistical Methods (available through ActEd Sydney) The following is a brief list of additional references that you may wish to consult: • An introduction to Statistical Modelling. Dobson, A. J. Chapman & Hall, 1983. 125 pages. ISBN: 0412248603 • Introductory Statistics with Applications in General Insurance. Hossack, I. B.; Pollard, J. H.; Zehnwirth, B. 2nd ed. Cambridge University Press, 1999. 282 pages. ISBN: 052165534X The Unit lecturers may also suggest further references for specific parts of the course. 8 Assessment Requirements Recommended text(s) and readings 1. Statistical and probabilistic methods in actuarial science. Boland P. J. Chapman & Hall. 2007. 344 pages. ISBN 1584886951. 2. Core Reading for Institute of Actuaries of UK Subject CT6 Statistical Methods (available through ActEd Sydney). 3. An introduction to statistical modelling. Dobson, A. J. Chapman & Hall, 1983. 125 pages. ISBN: 0412248603. 4. Introductory statistics with applications in general insurance. Hossack, I. B.; Pollard, J. H.; Zehnwirth, B. 2nd ed. Cambridge University Press, 1999. 282 pages. ISBN: 052165534X. Examination material or equipment A calculator is permitted during the final examination. 9 Other Information Policies Monash has educational policies, procedures and guidelines, which are designed to ensure that staff and students are aware of the University’s academic standards, and to provide advice on how they might uphold them. You can find Monash’s Education Policies at: www.policy.monash.edu.au/policy-bank/academic/education/index.html Key educational policies include: • Student Academic Integrity Policy and Student Academic Integrity: Managing Plagiarism and Collusion Procedures ; • Assessment in Coursework Programs; • Special Consideration; • Grading Scale; • Discipline: Student Policy; • Academic Calendar and Semesters; • Orientation and Transition; and • Academic and Administrative Complaints and Grievances Policy. Graduate Attributes Policy http://www.policy.monash.edu/policy-bank/academic/ education/management/monash-graduate-attributes-policy.html Student Charter www.opq.monash.edu.au/ep/student-charter/monash-university-student-charter.html Student services The University provides many different kinds of support services for you. Contact your tutor if you need advice and see the range of services available at http://www.monash.edu.au/students You can also access important information from the Faculty of Business and Economics current students page http://www.buseco.monash.edu.au/student/ Caulfield and Clayton students wishing to further develop English language skills in a fun group environment can join a Conversational English Program. You can access these programs at http://www.monash.edu/students/conversational-english/ Monash University Library The Monash University Library provides a range of services, resources and programs that enable you to save time and be more effective in your learning and research. Go to www.lib.monash.edu.au or the library tab in my.monash portal for more information. 10 Other Information Moodle 2 All unit and lecture materials, plus other information of importance to students, are available through the virtual learning environment Moodle site. You can access Moodle via the my.monash portal. Where to go for help If you're stuck, confused or simply not sure how to approach Moodle, there are a number of Moodle resources that you can tap into. Disability Liaison Unit Students who have a disability or medical condition are welcome to contact the Disability Liaison Unit to discuss academic support services. Disability Liaison Officers (DLOs) visit all Victorian campuses on a regular basis. • Website: http://www.monash.edu/equity-diversity/disability/index.html • Telephone: 03 9905 5704 to book an appointment with a DLO; • Email: dlu@monash.edu • Drop In: Equity and Diversity Centre, Level 1, Building 55, Clayton Campus. 11