• Class Number 6985
• Term Code 3360
• Class Info
• Unit Value 6 units
• Mode of Delivery In Person
• COURSE CONVENER
• Jacie Liu
• LECTURER
• Jacie Liu
• Class Dates
• Class Start Date 24/07/2023
• Class End Date 27/10/2023
• Census Date 31/08/2023
• Last Date to Enrol 31/07/2023
SELT Survey Results

Life Contingencies (STAT3037)

This course develops actuarial techniques for the valuing of policies which depend on contingent events concerning uncertain lifetimes. Topics include principal forms of heterogeneity within a population and the ways in which selection can occur; definition of simple assurance and annuity contracts; development of formulae for means and variances of the present values of payments; evaluating expected values and variances of simple insurance and annuity contracts; description and calculation of net and gross premiums and provisions for various insurance contracts; and cash flow models and profit tests, extended to multiple decrements and multiple state models.

## Learning Outcomes

Upon successful completion, students will have the knowledge and skills to:

1. Define and price life assurance contracts and life annuity contracts, including a selection effect where appropriate;
2. Calculate reserves, policy values and mortality profits;
3. Perform calculations relating to increasing insurances, annuities and with-profit policies;
4. Perform calculations relating to multiple life functions and insurances and annuities involving two or more lives;
5. Perform calculations relating to contingent and reversionary benefits.
6. Define unit-linked contracts and perform evaluations of cash-flows associated with such contracts including the setting of reserves using ‘zeroising’ approach; and
7. Project expected cashflows for traditional life insurance contracts and perform profit-testing calculations to evaluate profit vector, profit signature, net present value and profit margin.

## Research-Led Teaching

The material covered in this course covers established principles in actuarial work and academia.

## Examination Material or equipment

The final exam is closed book and covers the whole unit. A formula package and actuarial life tables will be provided during the exam. A calculator that allows you to perform basic arithmetic calculations including exponential and logarithmic functions will be needed during the exam. Further information on examination material will be provided to students in lecture time and on Wattle. The final assessment will be held in the examination period with details to be advised no later than teaching week 10 of the semester.

## Required Resources

Course notes and materials will be provided via Wattle. You will need access to a calculator to complete exercises required for this course. You will need access to a computer to get the materials necessary for the course. We will use MS Excel in this course. Some classwork and tutorial questions and solutions will be illustrated using MS Excel. Learning guides and short video lectures will be made available on Wattle for students to learn the application of the concepts taught in this course. Some assignment questions will require the use of MS Excel. You are assumed to have experience in Excel from previous courses in your actuarial degree. Excel software is available for free to ANU students through Microsoft Office 365 .

There are no prescribed textbooks for this course.

## Staff Feedback

Students will be given feedback in the following forms in this course:

• Whole of class feedback in-class or via discussion forums;
• Individual feedback during consultations;
• Following each assignment, individual feedback will be provided;
• Students will also have the opportunity to speak with the tutors and the lecturer about their individual performance in the assignments.

## Student Feedback

ANU is committed to the demonstration of educational excellence and regularly seeks feedback from students. Students are encouraged to offer feedback directly to their Course Convener or through their College and Course representatives (if applicable). The feedback given in these surveys is anonymous and provides the Colleges, University Education Committee and Academic Board with opportunities to recognise excellent teaching, and opportunities for improvement. The Surveys and Evaluation website provides more information on student surveys at ANU and reports on the feedback provided on ANU courses.

## Other Information

Exemption from Actuarial Professional examination

This course along with Financial Mathematics (STAT2032) makes up the CM1 examination of the Actuaries Institute. More details regarding the grades required for exemption and the procedure to follow is detailed on this webpage: Actuaries Institute requirements.

## Class Schedule

Week/Session Summary of Activities Assessment
1 Mortality and selection
2 Life assurance and annuity contracts
3 Evaluation of assurances and annuities
4 Gross premium calculations and accumulations Assignment 1 due
5 Reserves and policy values
6 Policy values, mortality profit and extra risk
7 Increasing insurances and with-profit policies
8 Increasing annuities and applications of reserves Assignment 2 due
9 Multiple life functions and policies
10 Cash flow models and profit testing
12 Multiple decrement and multiple state models

## Tutorial Registration

Tutorials will be available on campus. Students should enrol in their tutorial using MyTimetable. ANU utilises MyTimetable to enable students to view the timetable for their enrolled courses, browse, then self-allocate to small teaching activities / tutorials so they can better plan their time. Find out more on the Timetable webpage (https://www.anu.edu.au/students/program-administration/timetabling).

## Assessment Summary

Assessment task Value Due Date Return of assessment Learning Outcomes
Assignment 1 10 % 20/08/2023 30/08/2023 1
Assignment 2 20 % 01/10/2023 16/10/2023 1,2,3
Final Examination 70 % 02/11/2023 30/11/2023 1,2,3,4,5,6,7

* If the Due Date and Return of Assessment date are blank, see the Assessment Tab for specific Assessment Task details

## Policies

ANU has educational policies, procedures and guidelines, which are designed to ensure that staff and students are aware of the University’s academic standards, and implement them. Students are expected to have read the Academic Misconduct Rule before the commencement of their course. Other key policies and guidelines include:

## Assessment Requirements

The ANU is using Turnitin to enhance student citation and referencing techniques, and to assess assignment submissions as a component of the University's approach to managing Academic Integrity. For additional information regarding Turnitin please visit the ANU Online website Students may choose not to submit assessment items through Turnitin. In this instance you will be required to submit, alongside the assessment item itself, hard copies of all references included in the assessment item.

## Moderation of Assessment

Marks that are allocated during Semester are to be considered provisional until formalised by the College examiners meeting at the end of each Semester. If appropriate, some moderation of marks might be applied prior to final results being released.

## Participation

All lectures will be conducted on campus (recorded and available via echo360 on Wattle). Tutorials will be available on campus starting from week 2. Arrangements for consultations will be advised in week 1.

## Examination(s)

Centrally scheduled examinations through Examinations, Graduations & Prizes will be timetabled prior to the examination period. Please check ANU Timetabling for further information.

Value: 10 %
Due Date: 20/08/2023
Return of Assessment: 30/08/2023
Learning Outcomes: 1

Assignment 1

The details of Assignment 1 including the topic, nature of task, the word limit, format of presentation and other requirements, will be made available on Thursday 10 August.

Value: 10%

Due date: Sunday 20 August 20:00 (Week 4).

Return date: Marks will be released on Wednesday 30 August 18:00 (Week 6). Feedback will be given to the whole class with respect to overall performance via announcement on Wattle. Individual feedback will be available from the marker.

Note: This assignment is non-redeemable and to be completed individually. Late submissions will not be accepted without prior permission from the course convenor

and students will receive a mark of zero for the assignment if it is submitted after the due date.

Value: 20 %
Due Date: 01/10/2023
Return of Assessment: 16/10/2023
Learning Outcomes: 1,2,3

Assignment 2

The details of Assignment 2 including the topic, nature of task, the word limit, format of presentation and other requirements, will be made available on Monday 18 September.

Value: 20%

Due date: Sunday 1 October 20:00 (Week 8).

Return date: Marks will be released on Monday 16 October 18:00 (Week 11). Feedback will be given to the whole class with respect to overall performance via announcement on Wattle. Individual feedback will be available from the marker.

Note: This assignment is non-redeemable and to be completed individually. Late submissions will not be accepted without prior permission from the course convenor

and students will receive a mark of zero for the assignment if it is submitted after the due date.

Value: 70 %
Due Date: 02/11/2023
Return of Assessment: 30/11/2023
Learning Outcomes: 1,2,3,4,5,6,7

Final Examination

The final exam covers the whole unit. Further details will be provided no later than week 10 of the semester.

Value: 70%

Format: The final exam is closed book and will be held on-site. A formula package and actuarial life tables will be provided during the exam.

Duration: 3-hour writing time. 15 minutes reading time.

Date: The exam will be centrally timetabled. Details of the final examination timetable will be made available on the ANU Timetabling

website. The onus is upon students to acquire their own scheduling details.

## Online Submission

The assignment is to be submitted online on Wattle at the pre-specified location via Turnitin. You must attach an assignment cover sheet. Please keep a copy of tasks completed for your records. Unless an exemption has been approved by the Associate Dean (Education) submission must be through Turnitin.

## Hardcopy Submission

There is no hardcopy submission for the assignments of this course.

## Late Submission

No submission of assessment tasks without an extension after the due date will be permitted. If an assessment task is not submitted by the due date, a mark of 0 will be awarded.

## Referencing Requirements

Accepted academic practice for referencing sources that you use in presentations can be found via the links on the Wattle site, under the file named “ANU and College Policies, Program Information, Student Support Services and Assessment”. Alternatively, you can seek help through the Students Learning Development website.

## Returning Assignments

Assignments will be returned via Wattle.

## Extensions and Penalties

Extensions and late submission of assessment pieces are covered by the Student Assessment (Coursework) Policy and Procedure The Course Convener may grant extensions for assessment pieces that are not examinations or take-home examinations. If you need an extension, you must request an extension in writing on or before the due date. If you have documented and appropriate medical evidence that demonstrates you were not able to request an extension on or before the due date, you may be able to request it after the due date.

## Resubmission of Assignments

Students will not be permitted to resubmit assignments.

## Privacy Notice

Academic Quality Assurance Committee monitors the performance of students, including attrition, further study and employment rates and grade distribution, and College reports on quality assurance processes for assessment activities, including alignment with national and international disciplinary and interdisciplinary standards, as well as qualification type learning outcomes. Since first semester 1994, ANU uses a grading scale for all courses. This grading scale is used by all academic areas of the University.

## Support for students

The University offers students support through several different services. You may contact the services listed below directly or seek advice from your Course Convener, Student Administrators, or your College and Course representatives (if applicable).

## Convener

 Jacie Liu 61254508 Jia.Liu3@anu.edu.au

### Research Interests

Actuarial studies, mortality modelling, Bayesian modelling, GLM, copula, panel data analysis

### Jacie Liu

 Monday 15:00 16:00 Monday 15:00 16:00

## Instructor

 Jacie Liu 6125 4508 jia.liu3@anu.edu.au

### Jacie Liu

 Monday 15:00 16:00 Monday 15:00 16:00