Spring 2023 - STAT 490 D200
Selected Topics in Probability and Statistics (3)
Class Number: 5924
Delivery Method: In Person
Overview
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Course Times + Location:
Tu 10:30 AM – 12:20 PM
SSCP 9318, BurnabyTh 2:30 PM – 3:20 PM
SSCP 9318, Burnaby -
Exam Times + Location:
Apr 23, 2023
12:00 PM – 3:00 PM
WMC 2501, Burnaby
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Instructor:
Barbara Sanders
bsanders@sfu.ca
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Prerequisites:
Dependent on the topic covered.
Description
CALENDAR DESCRIPTION:
Topics in areas of probability and statistics not covered in the regular undergraduate curriculum of the department.
COURSE DETAILS:
This course is cross-listed with ACMA 832.
This course focuses on concepts and tools related to risk management in the context of actuarial work. It covers the following topics:
- Economic perspectives on risk and insurance: utility theory, stochastic dominance and preference ordering, diversification and risk sharing.
- Risk measures: premium principles, coherence, convexity, distortion risk measures and risk transforms.
- Extreme value theory.
- Multivariate risk models: MVN distribution, elliptical distributions, copulas and dependence.
- Risk management in practice: static and dynamic hedging of economic risks, insurance products with embedded options, risk-based capital in insurance (Solvency II, LICAT), Monte Carlo simulation.
Grading
- Assignments 30%
- Project and Presentations 40%
- Exam 30%
NOTES:
All above grading is subject to change.
Materials
REQUIRED READING:
Readings and references will be provided throughout the semester.
RECOMMENDED READING:
Eeckhoudt, L., Gollier, C., Schlesinger, H. (2005). Economic and Financial Decisions under Risk. Princeton.
McNeil, A.J., Frey, R., Embrechts, P. (2015). Quantitative Risk Management. Princeton.
Denuit, M., Dhaene, J., Goovaerts, M. and Kaas, R. (2005). Actuarial Theory for Dependent Risks: Measures, Orders and Models. Wiley.
Available online for free through the SFU Library
Hardy, M. (2003). Investment Guarantees: Modeling and Risk Management for Equity- Linked Life Insurance. Wiley.
Available online for free through the SFU Library
REQUIRED READING NOTES:
Your personalized Course Material list, including digital and physical textbooks, are available through the SFU Bookstore website by simply entering your Computing ID at: shop.sfu.ca/course-materials/my-personalized-course-materials.
Department Undergraduate Notes:
Students with Disabilities:
Students requiring accommodations as a result of disability must contact the Centre for Accessible Learning 778-782-3112 or caladmin@sfu.ca.
Tutor Requests:
Students looking for a tutor should visit https://www.sfu.ca/stat-actsci/all-students/other-resources/tutoring.html. We accept no responsibility for the consequences of any actions taken related to tutors.
Registrar Notes:
ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS
SFU’s Academic Integrity website http://www.sfu.ca/students/academicintegrity.html is filled with information on what is meant by academic dishonesty, where you can find resources to help with your studies and the consequences of cheating. Check out the site for more information and videos that help explain the issues in plain English.
Each student is responsible for his or her conduct as it affects the university community. Academic dishonesty, in whatever form, is ultimately destructive of the values of the university. Furthermore, it is unfair and discouraging to the majority of students who pursue their studies honestly. Scholarly integrity is required of all members of the university. http://www.sfu.ca/policies/gazette/student/s10-01.html