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Annual Report 1999

CONTENTS
Highlights of 1999
The Year in Review
Academic Activities
Conference, Seminar and Lecture Presentations
Research Paper Series
Undergraduate and Honours Teaching
Honours Results and Theses Topics
Prize Winners
Seventh Annual Colloquium of Superannuation Researchers
Staff
Advisory Board

 

HIGHLIGHTS OF 1999

  • The appointment of David Dickson to the Chair of Actuarial Studies.
  • The appointment of four new Honorary Senior Fellows from industry, strengthening downtown links and bringing practical experience to our honours program.
  • The award of the Victorian Rhodes Scholarship for 2000 to an actuarial student.
  • The champagne launch of the second volume of the ADVANCE software package in March.
  • The success of actuarial students at the Faculty of Economics and Commerce prizegiving ceremony.
  • A major restructuring of the actuarial program to enhance the quality of actuarial education at the University of Melbourne.
  • Research presentations by staff both in Australia and overseas. 
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THE YEAR IN REVIEW

1999 was a year of change for the Centre for Actuarial Studies. It bad farewell to four members of staff and welcomed four new honorary Senior Fellows.

The undergraduate and honours programs continue to flourish, with overall student numbers showing an increase from 1998.

Staff continue to be active in research, with publications in top journals and research presentations around the globe.

Student achievements

Tom Snow has been awarded the Rhodes Scholarship for Victoria for 2000. Tom graduated with a double degree in Commerce and Science in 1999, with an outstanding academic record that included sharing the AMPCASS Consulting Prize for best overall performance in 3rd year actuarial subjects in 1998.

At the Faculty of Economics and Commerce Prizegiving Ceremony in March, the following awards were made to actuarial students, based on performance in 1998:

  • A C Morley Prize, awarded to the best first year student: Ha Chin Kean
  • Paton Advertising Service Exhibition, awarded to the best second year student: Jeffrey Chee
  • J F Major Memorial Scolarship, awarded to the best third year student intending to undertake the BCom(Hons): Eng Hun Yeoh
  • William Noall & Son Prize, awarded to the best honours student: Amanda Johnston and Judy Wang
International links

Congratulations to Greg Taylor on his election as an Honorary Member of the Association of Swiss Actuaries in recognition of his many contributions to actuarial science.

Professor Ragnar Norberg's stay as GIO Visiting Professorial Fellow concluded at the end of January. During his visit Ragnar gave seminar presentations at the university and conducted research that was subsequently published in the Centre's Research Paper Series.

As in previous years, the Centre taught students on exchange from Heriot-Watt University and from the University of Amsterdam. In return, three Melbourne students studied at Heriot-Watt in 1999.

Staff continued to make presentations overseas, with talks being given in Europe, North America and Asia.
 

Research activities

The following pages outline the research interests and activities of staff.  Additions to the Centre's Research Paper Series during 1999 are listed on page xx.  The papers are available in printed form from the Centre or on the web at the following address: www.economics.unimelb.edu.au/actwww/papers.html.

The main areas of research in 1999 were mathematical finance, superannuation and risk theory.

The Seventh Annual Colloquium of Superannuation Researchers was held in July, attracting around fifty delegates from industry and academia. After seven years of hosting the colloquium, the Centre has passed responsibility for the running of next year's colloquium to the University of New South Wales.

Teaching activities

During the year, the Centre conducted a major review of its undergraduate and honours programs. The main result of this review is a restructuring of the way material is taught at third year and honours level. From 2000, subjects taught at these levels will differ from those listed on page xx. The restructuring will allow students to gain exemption from Parts I and II of the professional examinations of the Institute of Actuaries of Australia.

The 1999 academic year marked the end of the Centre's teaching by video-conferencing to the Australian National University. Following the appointment of actuarial staff at ANU late in the year, all actuarial subjects offered at ANU in 2000 will be taught by ANU academics.

The Centre again ran a very successful distance education program for students taking Part II of the professional qualification of the Institute of Actuaries of Australia.

In February the Centre launched Volume 2 of its software package ADVANCE 2, which includes modules on risk models, ruin theory, credibility theory, and reserving, premium calculation and profit testing in life insurance. Members of staff from within and outside the Faculty of Economics and Commerce attended a presentation by Donna Walker who demonstrated the package's capabilities. The launch concluded with a champagne reception.

Staff news

David Dickson was appointed as Professor of Actuarial Studies and Director of the Centre. David has been a member of staff in the Centre since 1993 when he was appointed as Senior Lecturer. He was promoted to Associate Professor in 1998.

The Centre has appointed four Honorary Senior Fellows - Richard Fitzherbert, Julian Gribble, Bruce Rafter and Allen Truslove. Between them, this quartet has considerable expertise and experience in the main areas of actuarial practice in Australia. Their appointment marks a change in the Centre's plans for teaching of the honours subjects Actuarial Control Cycle I & II. These subjects provide an introduction to actuarial practice, and the Centre's intention is that, in future, these subjects will be taught by experienced practitioners.

Emma Koch has been appointed as the Centre's administrative co-ordinator.

David Knox resigned in July to take up an appointment with PricewaterhouseCoopers. As foundation Professor of Actuarial Studies, David was the first appointment in actuarial studies at the University of Melbourne, taking up his position in July 1992. In addition to being Director of the Centre, David played an active role in the affairs of both the Faculty of Economics and Commerce and the Institute of Actuaries of Australia.

Daniel Dufresne has returned to the University of Montreal to take up an appointment as professor. Congratulations to him on this appointment.

Donna Walker, Lecturer in Actuarial Studies, and Kathy Cornish, the Centre's administration officer, both resigned to take up positions downtown.

The Centre thanks each of them for their contributions to its success and wishes them well in the future.

Acknowledgement

The changes in personnel in 1999 placed a considerable burden on those working in the Centre in the second half of the year. The successful running of the academic program owed much to the goodwill and co-operation of many people, including the students. In particular, the Director thanks Maggie Atkinson and Donna Walker on the academic side, and Emma Koch and the administrative staff in both the Department of Economics and the Faculty Office for all their support.
 

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    ACADEMIC ACTIVITIES

    Publications in Refereed Journals

    Atkinson, M.E., Creedy, J. and Knox, D.M., Alternative retirement income arrangements and lifetime income inequality: lessons from Australia. International Tax and Public Finance, 6, 1, 103-107.

    Atkinson, M.E., Creedy, J. and Knox, D.M., Some implications of changing the tax basis for pension funds. Fiscal Studies, 20, 2 June 1999, 189-204.

    Dickson, D.C.M. and Waters, H.R., Ruin probabilities with compounding assets. Insurance: Mathematics & Economics, 25, 1, 49-62.

    Dickson, D.C.M., On numerical evaluation of finite time survival probabilities. British Actuarial Journal, 5, 575-584..

    Dickson, D.C.M. and Waters, H.R., Multi-period aggregate loss distributions for a life portfolio. ASTIN Bulletin, 29, 295-309.

    Knox, D.M. and Cornish, R., The development of some characteristics for equitable national retirement. International Social Security Review, 52, 4/99, 25-45.

    Books

    Atkinson, M.E. and Dickson, D.C.M., An Introduction to Actuarial Studies. Blackbird Resources, Laburnum, VIC.

    Taylor, G.C., Loss Reserving: An Actuarial Perspective. Kluwer Academic Publishers, Boston.

    Chapters in Books

    Atkinson, M.E., Creedy, J., The choice of early retirement age and the Australian superannuation system, in Labour Mobility, Earnings and Unemployment, Selected Papers (J. Creedy ed.).  Edward Elgar, Cheltenham.

    Conference Publications

    Dickson, D.C.M. and Sundt, B., Comparison of methods for evaluation of the convolution of two compound R1 distributions. Proceedings of the XXXth ASTIN Colloquium, 201-218.

    Sundt, B. and Dickson, D.C.M., Comparison of methods for evaluation of the n-fold convolution of an arithmetic distribution. Proceedings of the XXXth ASTIN Colloquium, 275-286.
     

    Computer Software

    Atkinson, M.E., Cox, S., Dickson, D.C.M., Foster, J., Walker, D.J., ADVANCE 2 (Volume 2). Distributor Gold Software International Pty Ltd, Melbourne.

    Involvement as Referees

    During the year, members of the Centre acted as referees for the following journals:

    ASTIN Bulletin, Insurance: Mathematics & Economics, North American Actuarial Journal and Scandinavian Actuarial Journal.

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CONFERENCE, SEMINAR AND LECTURE PRESENTATIONS IN 1999

Dickson, D.C.M., "Some problems in ruin theory", University of Toronto, June.

Dickson, D.C.M., "Relative reinsurance retention levels", University of Melbourne, August.

Dickson, D.C.M., "Comparison of methods for evaluation of the convolution of two compound R1 distributions", XXXth ASTIN Colloquium, Tokyo, August.

Dickson, D.C.M., "Ruin problems for phase-type(2) risk processes", Meeting on Risk Theory, Oberwölfach, September.

Dufresne, D., "Interplay between finance and insurance", Workshop on Probability in Finance, Fields Institute, Toronto, January.

Knox, D. M., "Super Reform?  How do we get it right?", Association of Superannuation Funds of Australia Luncheon, Melbourne, March.

Knox, D. M., "The Australian life annuity market:  Is there value for the purchaser?", 7th Annual Colloquium of Superannuation Researchers, Melbourne, July.

Walker, D.J., "Actuarial education in health financing", Institute of Actuaries of Australia Biennial Convention, Darwin, June.
 

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RESEARCH PAPER SERIES

The Centre has an established Research Papers Series and the papers published in 2000 are listed below. Abstracts and electronic forms of papers are available on the World Wide Web (www.economics.unimelb.edu.au/actwww/wp.html).
No.
Date
Title
Author(s)
76
Mar 2000
Stochastic Processes: Learning the Language A.J.G. Cairns

D.C.M. Dickson

A.S. Macdonald

H.R. Waters

M. Willder

       
77
Mar 2000
On the Time to Ruin for Erlang(2) Risk Processes D.C.M. Dickson
       
78
July 2000
Risk and Discounted Loss Reserves G.C. Taylor
       
79
July 2000
Stochastic Control of Funding Systems G.C. Taylor
       
80
Nov 2000
Measuring the Effects of Reinsurance by the Adjustment Coefficient in the Sparre Anderson Model M. de Lourdes Centeno
       
81
Nov 2000
The Statistical Distribution of Incurred Losses and its Evolution Over Time III: 

Dynamic Models

G.C. Taylor
       
82
Dec 2000
Optimal Investment for Investors with State Dependent Income, and for Insurers C. Hipp
       
83
Dec 2000
Hedging in Incomplete Markets and Optimal Control C. Hipp
M. Taksar
       

 
No. TITLE AUTHOR DATE
69 Laguerre series for  Daniel Dufresne February 1999
70 The devlopment of some 
characeteristics for equitable
national retirement income
schemes
David M Knox 
Roslyn Cornish
March 1999
71 A proposal for integrating 
Australia's retirement 
income policy
David M KNox  April 1999
72 The statistical distribution of 
incurred losses and its evolution
over time I: Non-parametric
models
Greg C Taylor  November 1999
73 The statistical distribution of 
incurred losses and its evolution
over time I: Non-parametric
models
Greg C Taylor  November 1999
74 A Markov chain 
financial market
Ragnar Norberg December 1999
75 On the Vandermonde matrix 
and its role in mathematical finance
Ragnar Norberg December 1999
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    UNDERGRADUATE AND HONOURS TEACHING

    The numbers enrolled in each subject for the last three years are shown below.
     
    Subject Name Total 1997
    Total 1998
    Total 
    1999
    300-101 Actuarial Studies I - Melbourne
    300-101 Actuarial Studies I - ANU
    78 
    31
    115
    45
    116
    -
    300-203 Maths in the Financial World - Melbourne
    300-203 Maths in the Financial World - ANU
    65
    41
    74
    38
    118
    43
    300-204 Introduction to Stochastic techniques in Financial Mathematics 32 39 68
    300-302 Actuarial Statistics - Melbourne
    300-302 Actuarial Statistics - ANU
    44
    20
    50
    28
    53
    20
    300-320 Risk Theory I - Melbourne
    300-320 Risk Theory I - ANU
    41
    23
    56
    33
    66
    -
    300-321 Risk Theory II - Melbourne 
    300-321 Risk Theory II - ANU
    -
    -
    -
    -
    48
    -
    300-322 Actuarial Principles I - Melbourne
    300-322 Actuarial Principles I - ANU
    45
    20
    49
    26
    60
    27
    300-322 Actuarial Principles II - Melbourne
    300-322 Actuarial Principles II - ANU
    -
    -
    -
    -
    60
    27
    300-311 Life Insurance Mathematics - Melbourne
    300-311 Life Insurance Mathematics - ANU
    41
    14
    50
    22
    53
    23
    300-400 Actuarial Research Essay - Melbourne 6 10 8
    300-403 Advanced Risk Theory - Melbourne 6 13 5
    300-410 The Actuarial Control Cycle I - Melbourne
    300-410 The Actuarial Control Cycle I - ANU
    300-410 The Actuarial Control Cycle I - Distance
    44
    7
    41
    45
    8
    39
    38
    15 
    28
    300-411 The Actuarial Control Cycle II - Melbourne
    300-411 The Actuarial Control Cycle II - ANU
    300-411 The Actuarial Control Cycle II - Distance
    42
    6
    36
    45
    8
    39
    33
    14
    26
    Total Enrolments 683 832 946

    Notes: 
     

      1.  Students at the ANU received lectures by video-conferencing from Melbourne to Canberra.

      2.  The Distance students, in centres throughout South East Asia, Australia and New Zealand, received the lectures through videotapes. 

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    HONOURS RESULTS AND THESES TOPICS

    The following students successfully completeda Bachelor of Commerce (Honours) with a specialisation in Actuarial Studies:

    First Class Honours
    Yuh Woei Chia
    Keith Chong
    Stephen James
    Carol Lee
    George Wong

    Upper Second Class Honours
    Tze-wei Chong
    Derek Clark

    Lower Second Class Honours
    Gayle Chua

    The following list represents the topics of the honours theses submitted by the honours students.  The variety highlights the wide range of topics chosen, ranging from the theoretical to the practical.
     

  • A study of the conditional distribution of the deficit at ruin for an Erlang(2) risk process
  • A model for estimating and projecting Victorian fertility
  • Explicit solutions for the survival probability for Erlang(2) risk processes
  • Valuing superannuation taxation concessions
  • A two-sided bound for ruin probability in the Sparre Andersen model when the adjustment coefficient does not exist
  • Assessing the impact of the retirement of the baby boomer generation on superannuation equity investment flows and the Australian equity market
  • Numerical illustrations of the multivariate Panjer recursion
  • Testing of upper bounds for the tails of compound negative binomial distributions

  •  
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PRIZE WINNERS

The following prizes were awarded: 

The AMPCASS Prize 
for the best 3rd year result in actuarial subjects
Jeffrey Chee 

The Colonial Mutual Prize
for Actuarial Studies I
Chor Wu Yap 

The National Mutual Prize
for Mathematics in the Financial World
Chin Kean Ha

The NSP Buck Prize
for Actuarial Principles I & II
 Jeffrey Chee

The Tillinghast Prize
for Risk Theory I & II
Jeffrey Chee 

The Trowbridge Consulting Prize
for Actuarial Control Cycle I & II
Yuh Woei Chia 

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SEVENTH ANNUAL COLLOQUIUM OF SUPERANNUATION RESEARCHERS

The following paperas were presented at the Seventh Annual Colloquium of Superannuation Researchers held at The University of Melbourne on July 8-9.
 
AUTHOR TITLE
Mr Ross Clare and
Mr Douglas Connor
(Association of Superannuation Funds of Australia Limited)
The Superannuation Market
Ms Heather Crawford
(Australian Bureau of Statistics)
The Survey of Employment Arrangements and Superannuation
Mr Richard Cumpston
and Mr Hugh Sarjeant
(Cumpston Sarjeant)
Estimates of Superannuation Assets in Divorces, and Proposals for Legislative Reform
Mr Richard Cumpston 
and Mr Hugh Sarjeant
(Cumpston Sarjeant)
Stochastic Projections of Australia's Superannuation Contributions and Benefits
Ms Suzanne Doyle and 
Mr John Piggott
(University of New South Wales)
Mandatory Annuity Design:  A Preliminary Study
Ms Karolina Duklan and
Mr Craig Thorburn
(Australian National University)
An Imperfect Match
Ms Isabel Gordon
(University of Sydney)
How the Corporates are "Paying Up" for Superannuation
Dr Ross Guest,
(Griffith University) and 
Professor Ian McDonald
(The University of Melbourne)
Ageing, Immigration and Optimal National Saving in Australia
Mr Tim Higgins and
Mr Craig Thorburn
(Australian Prudential Regulatory Authority)
Life in Abundance:  The Australian Life Tables 1995-97 and Some Observations on Australian Mortality
Mr Robert Katz
(The World Bank)
Are Defined Benefit and Defined Contribution Plans Really Different?  Implications for Government Sponsored Retirement Schemes
Professor David Knox
(The University of Melbourne)
The Australian Life Annuity Market:
Is the Value for the Purchaser?
Dr Diana Olsberg
(University of New South Wales)
Public Policy, Choice and Individual Responsibility:  Making Decisions at Retirement
Dr Matthew Roberts
(Australian Prudential Regulatory Authority)
Measuring the Superannuation Industry - Current Issues
Ms Sue Taylor
(Queensland University of Technology)
Australia's Mandatory Occupational Superannuation Regime:  An Evaluation of Opposing Claims
Ms Julie Tinnion and
Mr George Rothman
(Department of the Treasury)
Retirement Income Adequacy and the Emerging Superannuation System
Mr Isi Unikowski
(Retirement Team CentreLink)
Public Education on Retirement Planning:  Does it Make a Difference?
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STAFF 

Professor of Actuarial Studies
     David C M Dickson, BSc(Hons), PhD, FFA, FIAA
Lecturer in Actuarial Studies
    Margaret E Atkinson, BA(Hons), MPhil, PhD 
Professorial Associate
    Greg C Taylor, BA, PhD, PhD, FIA, FIAA, FIMA, C Math 
Honorary Senior Fellows
    Richard Fitzherbert, BSc (Hons), FIAA, FIA, ASIA

    Jules Gribble, BSc (Hons), PhD, FIAA, FCIA, FSA

    Bruce Rafter, BCom, FIAA, FIA

    Allen Truslove, BSc (Hons), PhD, MBA, FIAA, FIA
     

Administrative Co-ordinator
    Emma Koch, BA(Hons)
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ADVISORY BOARD

    The membership fo the Advisory Board is as follows.

    External Members
    Mr Graham Rogers, Offley House Group 
    Mr Mike Paterson, CMG Asia 
    Mr Bruce Rafter
    Dr Greg Taylor, Taylor-Fry
    Mr Craig Thorburn, Australian Prudential Regulation Authority

    University Members
    Dr Margaret Atkinson
    Lecturer, Centre for Actuarial Studies 
    Professor Kevin Davis 
    Head of Department, Department of Accounting & Finance 
    Dr David Dickson, Centre for Actuarial Studies 
    Professor John Freebairn
    Head of Department, Department of Economics 
    Professor Ross Williams
    Dean, Faculty of Economics & Commerce

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