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Annual Report 2002
HIGHLIGHTS
- The Centre celebrated
ten years of teaching actuarial studies
- The Centre produced its 100th Honours graduate
- The Centre was accredited by the Institute
of Actuaries of
Australia
for a further four years
- Research and postgraduate studies continue to expand
- Actuarial students again claim major faculty-wide awards
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THE
YEAR IN REVIEW
Introduction
The Centre for Actuarial Studies continues to be the focal
point for actuarial education in Victoria.
It attracts the support of the actuarial profession in Australia
and produces quality applied and theoretical research. It also maintains strong
international links as well as contributing to the local actuarial community.
Staff news
Ms Hye-Sun Lim
joined the Centre from AXA life insurance company as a lecturer in January. Sun
holds degrees in statistics and in commerce and is presently an Associate of
the Institute of Actuaries of Australia
During the year, Professor Daniel Dufresne accepted an offer
of a professorial appointment in the Centre and takes up his position in
January 2003.
Mr
Edward McEllin completed his coursework and obtained his Fellowship in the
Society of Actuaries.
Dr Jun Cai resigned from the Centre at the end of 2001 to
take up an appointment as Associate Professor at the University
of Waterloo.
We wish him well in this new position.
Professor Ross Williams retired as Dean of the Faculty of
Economics and Commerce at the end of 2002. Ross has been a member of the
Centre's Advisory Board since it was formed and has contributed greatly to the
Centre during this period. We wish him a happy retirement.
Research Activities
Research at the Centre during the year was in the areas of
investment theory, long term care, life office modelling, general insurance
modelling and risk theory.
Manabu Sato became the Centre's first MCom by research
graduate, gaining a first class honours mark for his thesis "Initial capital
and margins required to secure a Japanese life insurance policy portfolio under
stochastic interest rates".
Eddie Leung became the Centre's first full-time PhD student,
working on actuarial issues in long term care.
The number of papers in the Centre's Research Paper Series
passed the one hundred mark during the year. Full details are given in the Research
Paper Series section of this report.
The Centre was a sponsor of the Stochastic Processes and
their Applications Conference which was hosted by the Department of Mathematics
and Statistics at the university. Greg Taylor was one of the invited speakers
at the conference.
Greg Taylor was one of the three invited speakers at the
Insurance: Mathematics & Economics Congress in Lisbon
Teaching Activities In terms of teaching, 2002 was largely a year of
consolidation with no new subjects being taught.
Actuarial
Studies continues to be a popular discipline and the number of students taught
during the year was significantly greater than in 2001. The honours year is now
fully established as part of the actuarial program, with thirty-six students
successfully completing this year. This brings the number of honours graduates
in actuarial studies to over one hundred since the introduction of honours in
1996.
Teaching activities were again supported by Melbourne actuaries,
notably in the form of guest lectures in the subjects Actuarial Practice and Control
I and II. These guest lecturers were Mr Andrew Gale of Medibank Private and Mr
Richard Cumpston of Cumpston Sarjeant Pty Ltd.
Mr Iain Ross again lectured on actuarial practice in the first-year
subject Introduction to Actuarial Studies.
Reviews
An accreditation panel of the Institute
of Actuaries of
Australia
(IAAust) under the chairmanship of Trevor McMahon visited the university in
April. The panel reviewed the Centre's subjects and operations and recommended
to the IAAust Council that the Centre be accredited for a further period of
four years.
The
Centre was again fully funded as a Centre of Excellence by the IAAust.
An internal review of the Centre, chaired by Professor Peter
Lloyd, took place as part of the university's policy of regular reviews of
centres. The review panel noted the achievements of the Centre and the changes
in the actuarial program since the previous review. The key recommendation was
that staffing levels should increase, with an emphasis on making an appointment
at a senior level.
Visitors
Professor Daniel Dufresne, University
of Montreal,
visited the Centre during the first half of the year. Daniel taught subject
300-408 Advanced Financial Mathematics and contributed to the Centre's research
activities.
Dr Zhang Lianzeng from Nankai
University, China,
visited the Centre for the whole year. Zhang participated in research and
taught subject 300-407 Risk Theory II.
Once again the Centre exchanged students with the Department
of Actuarial Mathematics and Statistics, Heriot-WattUniversity,
hosting two students and sending three. The Centre also hosted a Study Abroad
student from the Technical University of Munich.
Professional Activities
Together with the IAAust, the Centre has established a
Melbourne Seminar Series. The aim of the series is to provide regular
presentations to the Melbourne
actuarial community on both actuarial research and continuing professional
development topics. As detailed later, presentations were given by David
Dickson and Richard Fitzherbert.
Jules Gribble chaired the committee that reviewed the
syllabus of Part II of the Institute
of Actuaries of
Australia's
professional qualification.
Ten Year Anniversary
The start of second semester marked the tenth anniversary of
actuarial teaching by permanent academic staff at the University
of Melbourne.
To celebrate this event, the Centre hosted a cocktail reception which was
attended by graduates, past and present staff and honours students. Guests were
invited to participate in a trivia quiz to test their knowledge of ten years of
actuarial studies at the university.
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ACADEMIC
ACTIVITIES
Publications in Refereed
JournalsChateau, J.P. and Dufresne, D.,The stochastic-volatility
American put option of banks' credit line commitments. International Review of
Financial Analysis 107,159-181.
Cai, J. and Dickson, D.C.M., On the discounted penalty
function at ruin of a surplus process with interest. Insurance: Mathematics
& Economics 30, 389-404.
Dickson, D.C.M., A note on the maximum severity of ruin and
related problems. Australian Actuarial Journal 8, 239-260.
Dickson, D.C.M. and Waters, H.R., The distribution of the
time to ruin in the classical risk model. ASTIN Bulletin 32, 299-313.
Taylor,
G.C., Stochastic control of funding systems.
Insurance: Mathematics & Economics 30, 323-350.
Other Publications
Chateau,
J.P. and Dufresne, D., Banks' regulatory capital equirement: pricing the credit
risk of short-term loan commitments. Proceedings of the Conference: Regulation
and Deregulation of Financial Markets, Principality of Liechtenstein, June 2002,
243-262. Fitzherbert,
R.M., The maths teacher and the modern finance expert. Asset Magazine, February.
Involvement as
Referees
During the year, members of the Centre
acted as referees for the following journals:
- ASTIN Bulletin
- Australian Actuarial Journal
- Insurance: Mathematics & Economics
- North American Actuarial Journal
- Scandinavian Actuarial Journal
- Statistics and Probability Letters
Other Activities
David
Dickson is an associate editor of Insurance: Mathematics & Economics and of
British Actuarial Journal.
David
Dickson is Adjunct Professor at the University of Waterloo.
Richard
Fitzherbert is an associate editor of Australian Actuarial Journal.
Richard
Fitzherbert was the appointed actuary of East Yarra Friendly Society.
Jules
Gribble is academic co-ordinator of Managing Regulatory Change in Life
Insurance and Pensions Program (APEC Finance Ministers endorsed regional
capacity building program), Training Programs and Symposium.
Greg
Taylor is an associate editor of Insurance: Mathematics & Economics.
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CONFERENCE, SEMINAR & LECTURE
PRESENTATIONS
Presentations
by Members of the Centre
Dickson,
D.C.M., "The distribution of the surplus prior to ruin". CORS 2002, Toronto, June.
Dickson,
D.C.M., "On the distribution of the deficit at ruin when claims are
phase-type". Stochastic Processes and their Applications Conference, Melbourne, July.
Dickson,
D.C.M., "On the distribution of the deficit at ruin when claims are
phase-type". Insurance: Mathematics & Economics Congress, Lisbon, July.
Dickson,
D.C.M., "Premiums and reserves for life insurance products", Melbourne Seminar
Series, October.
Dickson,
D.C.M., "Optimal dividend strategies". University
of Melbourne, October.
Dickson,
D.C.M., "The distribution of the surplus prior to ruin". International
Conference on Applied Statistics, Actuarial Science and Financial Mathematics",
Hong
Kong, December.
Dufresne,
D., "The lognormal approximation in financial computations". Quantitative
Finance 2002 (Risk Conference), New York , November.
Dufresne,
D., "The integral of geometric Brownian motion". Probability Day, Hautes Etudes
Commerciales, Montreal, November.
Fitzherbert,
R.M., "Volatility, beta and the equity premium". Australian
National University, March.
Fitzherbert,
R.M., "Continuous compounding, volatility and the equity premium". Joint Institute and Faculty of Actuaries
Investment Conference, Wokingham, UK, June.
Fitzherbert,
R.M., "Speculative risk: identification
and measurement". Melbourne Seminar
Series, November.
Taylor, G.C., "Some
simple VaR and tail probability results for sums of variables". Invited Speaker at Stochastic Processes and
their Applications Conference, Melbourne, July.
Taylor, G.C., "Some
simple VaR and tail probability results for sums of variables".Invited Speaker at Insurance: Mathematics and
Economics Colloquium, Lisbon July.
Taylor, G.C.,
"Distribution of incurred losses and its evolution over time". Invited Speaker at the University of New South
Wales Actuarial Symposium, November.
Conferences
Attended
McEllin, E.B., Society of Actuaries Healthcare Seminar covering
critical illness topics, Atlanta, March.
Gribble, J., 3rd Managing Regulatory
Change in Life Insurance and Pensions Symposium, Singapore (APEC Finance
Ministers endorsed regional capacity building program), November.
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RESEARCH
PAPER SERIES
The Centre has an established Research Papers
Series and the papers published in 2001 are listed below. Abstracts and
electronic forms of papers are available on the World Wide Web
(http://www.economics.unimelb.edu.au/actwww/papers.html)
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No. |
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Author(s)
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92 |
Jan 2002 |
Chain Ladder Bias |
G. Taylor |
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93 |
Jan 2002 |
Further
Observations on Chain Ladder Bias |
G. Taylor |
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94 |
Jan 2002 |
A General Class of Risk Models |
D. Dufresne |
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95
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Jan 2002
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The Distribution of the Time to Ruin in the Classical
Risk Model |
D.C.M. Dickson H.R. Waters
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96
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May 2002
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A Note on the Maximum Severity of Ruin and Related
Problems |
D.C.M. Dickson
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97
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June 2002
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Upper Bounds for Ultimate Ruin Probabilities in the
Sparre Andersen Model with Interest |
J. Cai D.C.M. Dickson
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98
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June 2002
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Continuous Compounding, Volatility and the Equity
Premium |
R. Fitzherbert
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99
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June 2002
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The Deficit at Ruin in the Stationary Renewal Risk
Model |
G.E. Willmot D.C.M. Dickson S.
Drekic D.A. Stanford
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100
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Aug 2002
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Asian and Basket Asymptotics |
D. Dufresne
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101 |
Aug 2002 |
Ruin Probabilities with a Markov Chain Interest Model |
J. Cai D.C.M. Dickson |
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102
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Aug 2002
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The Gerber-Shiu Discounted Penalty Function in the
Stationary Renewal Risk Model |
G.E. Willmot D.C.M. Dickson
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103
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Nov 2002
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Initial Capital and Margins Required to Secure a
Japanese Life Insurance Policy Portfolio Under Variable Interest Rates |
M. Sato D.C.M. Dickson R.M.
Fitzherbert
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104 |
Nov 2002 |
Statistical Case Estimation |
G. Taylor M. Campbell |
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UNDERGRADUATE
&
HONOURS TEACHING
The numbers enrolled in each subject for the
last three years are shown below.
| Subject Name |
2000 |
2001 |
2002 |
| 300-101 Introduction to Actuarial Studies |
94 |
84 |
145 |
| 300-203 Financial Mathematics
I |
117 |
102 |
127 |
| 300-204 Financial Mathematics
II |
79 |
74 |
97 |
| 300-330 Survival Models:
Theory and Applications* |
69 |
81 |
78 |
| 300-331 Modelling in Insurance
and Finance I |
65 |
69 |
67 |
| 300-332 Modelling in Insurance
and Finance II |
52 |
60 |
59 |
| 300-341 Actuarial Mathematics
I* |
51 |
64 |
60 |
| 300-342 Actuarial Mathematics
II* |
45 |
65 |
64 |
| 300-400 Actuarial Studies Research
Essay |
16 |
24 |
36 |
| 300-406 Risk Theory I* |
18 |
19 |
34 |
| 300-407 Risk Theory II* |
18
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16
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32
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| 300-408 Advanced Financial Mathematics |
-
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25
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34
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| 300-410 The Actuarial Control
Cycle I |
46 |
37 |
45 |
| 300-410 The Actuarial Control Cycle I
- Distance |
11 |
13 |
16 |
| 300-411 The Actuarial Control
Cycle II |
31 |
39 |
38 |
| 300-411 The Actuarial Control Cycle II
- Distance |
14 |
6 |
11 |
| Total Enrolments |
726 |
778 |
943 |
The numbers shown for 2000 for
subjects marked * refer to enrolments in subjects broadly corresponding to new
subjects introduced in 2001.
The Distance students, in centres
throughout South East Asia and Australia, received the
lectures through cds and video streaming.
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SUCCESSFUL
HONOURS
STUDENTS & THESES TOPICS
The following students
successfully completed a Bachelor of Commerce (Honours) with a specialisation
in Actuarial Studies:
Ivo Alexis Bench Bloodworth David James Bruty Daniel Kevin Burt Joseph Patrick Byrne Neil Ch'ng Rina
Christy Francis Tze Khen Chu Oui Yau Chuah Shwu Jiun Foo Dianna Yuit
Ching Foong Lincoln Thomas Hannah Richard Russell
Henry David
Herman Henry Chung-Ming Hou Rakesh Jampala David Lamm Hong
Yong Leong Richard Ting Chung Li Sharon Sen Wah Mak Taylor
Tung-Loi Ng Phuong Thanh Nguyen Tzu Lyn Phang Corey
Michael Plover Lynden Polonsky Francis Nile Ratnasabapathy Peter James
Raymond Ching
Yen Soh Ka Sun Tan Tammy Su Wan Tan David Vito Velardo Verra Wijanto Jaclyn
Wing-Huen Wong Lee Lee Wong Mei Ling Wong Sui San Yeoh
The following
list includes topics of honours essays submitted by the students. An honours
research essay is about 10,000 words and counts as 25% of the final assessment
for a student's honours grade.
- Systemic risks in derivative clearing systems
- Equity returns, bond
yields, dividends, and inflation
- The valuation of disability
income insurance policies in the Australian life insurance market
- Option pricing: valuationof
path-dependent options when analytic results are not possible
- Investigating mortality
change
- Issues in small retirement
funds
- Asian options valuation with stochastic volatility
- The importance of value at risk in the context of life insurance
in Australia
- Comparison of methods for valuing American lookback options
- Catastrophe risk securitization with emphasis on valuation
of catastrophe call spread using an Asian option approach
- Analysis of factors affecting the price of equity indexed
annuities
- Pricing arithmetic Asian options under constant and stochastic
volatility using Monte Carlo methods
- Reverse mortgage annuities
- Boundary crossing probability for Brownian motion and barrier
options
- Approximations to the distributions of the severity or ruin
and the surplus prior to ruin
- A family of fractional age assumptions
- Equity indexed annuities: an assessment of product
designs and prospect in a new market - Australia
- Upper bounds for the tail of the compound negative binomial
distribution
- Insurance stochastic models based on shock runs
- Analysis of a credit risk model
- Valuing equity indexed annuities embedded with barrier options
- Australian mortality and the Lee-Carter model
- Valuation of equity-indexed annuities with lapse rates depending
on stochastic economic factors
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PRIZE
WINNERS
Actuarial Subject
Prizes
The
University of Melbourne Actuarial Foundation Prize for Modelling in
Insurance and Finance I and II Harry Chun Foong Lee
The AXA Australia
Prize for Financial Mathematics I and II
Sam Killmier
The Colonial Prize
for Introduction to Actuarial Studies
Siang Chin Ng
The NSP Buck Prize
for Survival Models: Theory and Applications
Henry Sunyoto and Kee Leong Lum (equal share)
The NSP Buck Prize
for Actuarial Mathematics I and II
Benjamin Zher Yen Chan and Kee Leong Lum
(equal)
The Tillinghast Towers
Perrin Prize for Risk Theory I and II
Hong Yong Leong
The Trowbridge
Consulting Prize for Actuarial Control Cycle I & II
David Lamm
Faculty of Economics
and Commerce Awards
The A.C. Morley Prize
for the best first year student in the Bachelor of Commerce degree
Siang Chin Ng
The Paton Advertising
Service Exhibition
for
the best student in the second year of the Bachelor of Commerce degree
Han Kee Gan
The J.F. Major
Memorial Scholarship
for the best third year student
intending to undertake the Bachelor of Commerce Honours degree
Kee Leong Lum
The William Noall
& Son Prize for the
top honours graduate in the Faculty of Economics and Commerce
Francis Ratnasabapathy (equal share)
Deutsche
Bank Final Year Scholarship for the
best final year student in the Bachelor of Commerce degree or Bachelor of Commerce
Honours degree
Benjamin Zher Yen Chan (equal share)
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STAFF
Professor
of Actuarial Studies
David C M Dickson, BSc(Hons), PhD,
FFA, FIAA
Senior
Lecturers in Actuarial Studies
Richard M. Fitzherbert, BSc (Hons) FIA,
FIAA, ASIA
Lecturers in Actuarial Studies
Edward B McEllin, BA, MA, ASA Hye-Sun
Lim, BSc, BCom (Hons), AIAA
Professorial
Fellow
Greg C Taylor, BA, PhD,
PhD, FIA, FIAA, FIMA, C Math, AO
Honorary
Senior Fellows
Jules Gribble, BSc (Hons), PhD, FIAA,
FCIA, FSA
Grant Harslett, BSc (Hons), FIAA, FIA, ASA
Allen Truslove, BSc (Hons), PhD, MBA, FIAA,
FIA
Tutors
Benjamin Zher
Yen Chan
Andrew Nicholas
Downes
Edward Leung,
BCom (Hons), LLB (Hons)
Eric Han Soo
Lew, BCom (Hons)
Corey Michael
Plover
Lynden Polonsky
Peter James
Raymond
Mei Ling Wong
Research
Student
Manabu Sato
Administrative
Co-ordinator
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ADVISORY
BOARD
The membership of the Advisory Board is as
follows.
External Members
Mr Graham Rogers, Offley House
Professor Greg Taylor, Taylor Fry Consulting Actuaries
University Members
Professor Robert Brown Department of Finance
Professor David Dickson Centre for Actuarial
Studies
Mr Richard Fitzherbert Centre for Actuarial
Studies
Professor John Freebairn Department
of Economics
Ms Hye-Sun Lim Centre
for Actuarial Studies
Mr Edward McEllin Centre
for Actuarial Studies
Professor Ross Williams (Chair), Dean,
Faculty of Economics and Commerce
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