Actuarial Science ACSC

ACSC 325 327 425 427 525 527 533 535 539

Instruction offered by members of the Department of Mathematics and Statistics in the Faculty of Science.

Department Head 鈥� M. Bauer

Note: For listings of related courses, see also Applied Mathematics, Mathematics, Pure Mathematics, and Statistics.

Note: Effective Fall 2014, Mathematics 265, 267, 367, Mathematics 275, 277, 375 and 377 replaced respectively Mathematics 251, 253, 353, Applied Mathematics 217, 219, 307 and 309 and serves as prerequisites for appropriate courses. In some special cases, Mathematics 267 replaces Mathematics 349 or 353. For these and other deviations from the general rule, see individual course entries for details. Mathematics 267 supplemented by Mathematics 177 will be accepted as equivalent to Mathematics 277.

Senior Courses

Actuarial Science 325

Theory of Interest/Mathematics of Finance

Measurement of interest, elementary annuities, general annuities, amortization schedules and sinking funds, bonds and other securities.
Course Hours: 3 units; H(3-1T)
Prerequisite(s): One of Mathematics 253 or 267 or 277 or 283 or Applied Mathematics 219; or one of Mathematics 249 or 251 or 265 or 275 or 281 or Applied Mathematics 217 with the permission of the Department.
Notes: Credit for Actuarial Science 325 is highly recommended as preparation for Actuarial Science 327.

Actuarial Science 327

Life Contingencies I

The survival function, force of mortality, life tables, analytical laws of mortality, life insurance, continuous and discrete life annuities, recursion equations. Introduction to benefit premiums and/or insurance and annuity models with interest as a random variable as time permits.
Course Hours: 3 units; H(3-1T)
Prerequisite(s): A grade of "C" or higher in Mathematics 321 or Statistics 321.
Notes: Actuarial Science 325 is strongly recommended as preparation for this course.

Actuarial Science 425

Intermediate Topics in Finance and Investment

Selected topics relevant to students with an interest in actuarial science, enterprise risk management, financial mathematics, etc. Topics include financial instruments; sources and cost of capital; portfolio selection; CAPM and alternatives; dividend policy; taxation; basic option pricing theory; stock valuation; measurement and assessment of financial performance; risk management.
Course Hours: 3 units; H(3-0)
Prerequisite(s): Actuarial Science 325 and Mathematics 323 or Statistics 323; or Actuarial Science 325 and completion of at least 60 units (10 full-course equivalents) and with the permission of the Department.
Notes: Not open to students with credit for Finance 317 without the permission of the Department.聽 Students with credit for Finance 317 but requiring Actuarial Science 425 for VEE credit from the Society of Actuaries should consult with the Department.

Actuarial Science 427

Life Contingencies II

Benefit premiums, premium principles, fully continuous and fully discrete premiums. Benefit reserves and their analysis. Insurance models including expenses.
Course Hours: 3 units; H(3-0)
Prerequisite(s): Mathematics 323 or Statistics 323; and one of Mathematics 353 or 367 or 377 or 381; and Actuarial Science 327.

Actuarial Science 525

Mathematics of Graduation

Preparation and testing of graduations of mortality tables; graduation by the moving-weighted average, graphic, Whittaker, Bayesian, parametric and smooth-junction interpolation methods; use of statistical methods for graduation.
Course Hours: 3 units; H(3-0)
Prerequisite(s): Actuarial Science 327 and Mathematics 323 or Statistics 323.

Actuarial Science 527

Life Contingencies III

Multiple life functions, dependent and independent models, related annuities and insurances. Multiple decrement models: time until and causes of death. Associated single decrement tables. Applications of聽 multiple decrement theory. Asset shares. Business and regulatory considerations.

Course Hours: 3 units; H(3-0)
Prerequisite(s): Actuarial Science 327 and Mathematics 323 or Statistics 323 and Mathematics 353 or 367 or 377 or 381.

Actuarial Science 533

Credibility Theory and Loss Distributions

Distributions useful for modelling insurance loss random variables. Approximations for and estimation of these loss distributions. Point and interval estimation, and tests of statistical hypotheses. Introduction to credibility theory, experience rating and claims reserving. Bayesian inferential techniques. Stochastic simulation and computational techniques.
Course Hours: 3 units; H(3-0)
Prerequisite(s): Actuarial Science 327; and Mathematics 323 or Statistics 323.
Notes: Statistics 437 is strongly recommended as preparation for this course.

Actuarial Science 535

Mathematics of Demography

Conventional and adjusted measures of mortality; measures of fertility; measures of morbidity; North American demographic characteristics and trends; evaluation of demographic data; projections for stable and stationary populations; actuarial applications of demographic characteristics and trends.
Course Hours: 3 units; H(3-0)
Prerequisite(s): Actuarial Science 327; and Mathematics 323 or Statistics 323.

Actuarial Science 539

Special Topics in Actuarial Science

Offered under various subtitles.
Course Hours: 3 units; H(3-0)
Prerequisite(s): Actuarial Science 327; and Mathematics 323 or Statistics 323 and Mathematics 353 or 367 or 377 or 381.
MAY BE REPEATED FOR CREDIT

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