Faculty of Arts & Science 2015-2016 Calendar

Actuarial Science

• Actuarial Science Specialist | Actuarial Science Major
• Actuarial Science Courses

Faculty

Actuarial Science is based upon the application of mathematical techniques to reduce the impact of such hazards as loss of income through death, disability, or retirement, or loss of property through fire, accident, or theft. Actuaries are the chief architects of life, health, and property insurance plans, and pension plans, and bear the major responsibility for their financial soundness. By using concepts from the areas of probability and finance, actuaries model, forecast and value the costs of benefits that will be provided to the participants in such plans. Methods developed for modeling insurance risk can also be applied to modeling investment risk, and actuaries apply their expertise to the valuation of sophisticated investment vehicles such as options on equities, bonds and other investment derivatives. ACT230H1 and 240H1, though somewhat technical, are courses of interest to a wide audience, since almost every student will from time to time be either a saver or a borrower, and will be covered by insurance and pension plans. Other actuarial courses deal with more specialized topics, and are generally taken by students with a more serious interest in the field or who want to pursue a career as an actuary. Professional accreditation as an actuary is obtained via the Canadian Institute of Actuaries by passing a series of examinations set by the Society of Actuaries or the Casualty Actuarial Society.  University of Toronto's Actuarial Science program is accredited by the Canadian Institute of Actuaries and some professional requirements can be satisfied through courses in the actuarial program. For more information about actuarial studies and careers, contact Professor Broverman or Professor Lin.

Enquiries: 100 St. George Street, Sidney Smith Hall, Room 6018 (416-978-3452)

Associate Chair, Undergraduate Studies: Statistics; e-mail: ugchair.stats@utstat.uoronto.ca

Associate Chair, Undergraduate Studies: Actuarial Science Professor S Broverman; e-mail: sam@utstat.utoronto.ca

Actuarial Science Programs

This is a limited enrolment program.  All students who request the program and obtain at least the specified mark(s) in the required course(s) will be eligible to enrol. Courses required in either the major or specialist programs in actuarial science may not be taken as CR/NCR.  Although it is not a required course in either the specialist or major programs in Actuarial Science, STA130H1 is recommended in 1st year.

This is a limited enrolment program.  All students who request the program and obtain at least the specified mark(s) in the required course(s) will be eligible to enrol. Courses required in either the major or specialist programs in actuarial science may not be taken as CR/NCR.

Required courses: MAT137Y1 with a final mark of at least 65% and ECO100Y1 with a final mark of at least 70% and ACT240H1 and ACT245H1 and ACT247H1 with a final mark of at least 70% in each course. Once these requirements are met by a student, the student will be eligible to enroll in the Actuarial Science Specialist Program.

(12.0 courses or their equivalent, including at least four 300+-series courses, one of which must be at the 400-level)

This program is designed to prepare a student for professional work as an actuary, and more generally in the financial risk management industry.

First Year:
1. ECO100Y1 (70%)
2. MAT137Y1 (65%)/MAT157Y1
3. MAT223H1/MAT240H1 (should be taken in first year)

Second Year:
1. ACT240H1 (70%), ACT245H1 (70%), ACT247H1 (70%)
2. MAT237Y1/MAT257Y1
3. STA257H1, STA261H1
4. MGT201H1

Higher Years:
ACT348H1, ACT349H1, ACT370H1, ACT451H1, ACT452H1, ACT455H1, ACT460H1, ACT466H1, STA302H1, STA347H1, STA457H1

NOTES:
In order to enroll in ANY 300- or 400-level ACT course, the minimum grade of C must be obtained in each of ACT240H1, ACT245H1 and ACT247H1. The enrolment requirements and the prerequisites for all ACT courses will be strictly enforced.
Students who have an interest in pursuing studies in mathematical finance should consider taking MAT244H1, MAT336H1/MAT337H1 and APM346H1. Students in the Actuarial Science Specialist Program who have successfully completed ACT348H1 and ACT349H1 may request to enroll inthe following RSM courses (provided the appropriate prerequisites and corequisites are met): RSM430H1, 433H1, 437H1. CSC108H1 and MAT246H1 are recommended (not required) for students in the Actuarial Science Specialist Program.

This is a limited enrolment program.  All students who request the program and obtain at least the specified mark(s) in the required course(s) will be eligible to enrol. Courses required in either the major or specialist programs in actuarial science may not be taken as CR/NCR.

Required courses: MAT137Y1 with a final mark of at least 65% and ECO100Y1 with a final mark of at least 70%.

(8.5 courses or their equivalent, including at least two full-course equivalents at the 300+-level)

First Year:
1. MAT137Y1 (65%)/MAT157Y1
2. ECO100Y1 (70%)
3. MAT223H1/MAT240H1 (should be taken in first year)

Higher Years:
1. MGT201H1
2. ACT240H1, ACT245H1, ACT247H1, ACT348H1, ACT370H1
3. MAT237Y1/MAT257Y1
4. STA257H1, STA261H1
5 Two of (of which at least one is a 400-level course): ACT349H1, ACT371H1, ACT372H1, ACT451H1, ACT452H1, ACT455H1, ACT460H1, ACT466H1, ACT470H1, ACT473H1, ACT475H1, STA302H1, STA347H1, STA457H1

NOTES:

In order to enroll in ANY 300- or 400-level ACT course, the minimum grade of C must be obtained in each of ACT240H1, ACT245H1 and ACT247H1.  The enrolment requirements and the  prerequisites for all ACT courses will be strictly enforced.

Students who have an interest in pursuing studies in mathematical finance should consider taking MAT244H1, MAT336H1/MAT337H1 and APM346H1.

Actuarial Science Courses

The 199Y1 and 199H1 seminars are designed to provide the opportunity to work closely with an instructor in a class of no more than twenty-four students. These interactive seminars are intended to stimulate the students’ curiosity and provide an opportunity to get to know a member of the professorial staff in a seminar environment during the first year of study. Details can be found at www.artsci.utoronto.ca/current/course/fyh-1/.

Introduction to financial mathematics, interest measurement, present value calculation, annuity valuation, loan amortization, consumer financing arrangements, bond valuation. The course is aimed at a general audience who will not be continuing in the actuarial science program.

Interest, discount and present values, as applied to determine prices and values of annuities, mortgages, bonds, equities; loan repayment schedules and consumer finance payments in general; yield rates on investments given the costs on investments.

Term structure of interest rates, cashflow duration, convexity and immunization, forward and futures contracts, interest rate swaps, introduction to investment derivatives and hedging strategies.

Probability theory applied to survival and to costs and risks of life assurances, life annuities, and pensions; analysis of survival distributions; international actuarial notation.

Determination of benefit premium and benefit reserves for life insurance and annuities; analysis of insurance loss random variables; theory of life contingencies for multiple lives.

Actuarial applications of financial mathematics and economics.

Mathematical theory of financial derivatives, discrete and continuous option pricing models, hedging strategies and exotic option valuation.

Topics covered include resrving data and triangles, diagnoses methods that range from triangle of ratios of paid claims to reported claims to triangel of reported claim ratios.  The sylloabus also includes projection techniques.

Prerequisite: ACT240H1, STA257H1
Recommended Preparation: None
Exclusion: ACT471H1
Distribution Requirement Status: This is a Science course
Breadth Requirement: The Physical and Mathematical Universes (5)

ACT372H1    Basic Ratemaking Methods For P&C Insurance (formerly ACT471H1) [24L/12T]

This course covers the basic ratemaking methods for P&C insurance.  It assumes that students are familiar with traditional reserving diagnoses and projection methods.  The syllabus would introduce concepts related to earning of exposures, on-level factors, catastrophe loading, large loss loading and credibility.

An instructor-supervised group project in an off-campus setting. Details at http://www.artsci.utoronto.ca/current/course/399. Not eligible for CR/NCR option.

An instructor-supervised group project in an off-campus setting. Details at http://www.artsci.utoronto.ca/current/course/399. Not eligible for CR/NCR option.

Loss models policy adjustments, frequency and severity models, compound distributions.

Estimation of Loss and Survival Models using complete, censored and truncated data. Product-Limit estimation, empirical estimation, moment and percentile estimation, maximum likelihood estimation and simulation models.

Advanced life contingencies, multiple decrement theory, insurance policy expenses, multi-state transition models, Poisson processes.

Applications of the lognormal distribution, Brownian motion, geometric Brownian motion, martingales, Itos limma, stochastic differential equations, interest rate models, the Black-Scholes model, volatility, value at risk, conditional tail expectation.

Limited fluctuation credibility, Bayesian estimation, Buhlmann credibility, non-parametric credibility methods, inverse transformation simulation method, specialized simulation methods for the normal and lognormal distributions, Monte Carlo methods, the bootstrap method.

Topics in pension mathematics; funding methods for pension plans. (Offered in alternate years)

Case study approach to current issues in life insurance, pension consulting and casualty actuarial practice. The focus of the course will be on communication and presentation. This course is Pass/Fail. Not eligibile for Credit/No Credit.  The course is open to students in the specialist program in actuarial science. Students in the major program in actuarial science can enrol into the course with permission of the department.

Examine key types of insurance products and their pricing and valuation. Review representative developments in insurance regulations in US, Europe and Canada. Demonstrate case studies using leading actuarial application AXIS.

Independent study under the direction of a faculty member. Persons wishing to take this course must have the permission of the Undergraduate Secretary and of the prospective supervisor. Not eligible for CR/NCR option.

Independent study under the direction of a faculty member. Persons wishing to take this course must have the permission of the Undergraduate Secretary and of the prospective supervisor. Not eligible for CR/NCR option.

Independent study under the direction of a faculty member. Persons wishing to take this course must have the permission of the Undergraduate Secretary and of the prospective supervisor. Not eligible for CR/NCR option.

Independent study under the direction of a faculty member. Persons wishing to take this course must have the permission of the Undergraduate Secretary and of the prospective supervisor. Not eligible for CR/NCR option.