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:H(3-1T) Prerequisite(s): A grade of "C" or higher in Mathematics 321. Notes:Actuarial Science 325 is recommended.
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:H(3-0) Prerequisite(s):Actuarial Science 325 and Mathematics 323 or Statistics 323; or Actuarial Science 325 and completion of at least 10 full-course equivalents and with the permission of the Division. Notes:Not open to students with credit for Finance 317 without the permission of the Division. Students with credit for Finance 317 but requiring Actuarial Science 425 for VEE credit from the Society of Actuaries should consult with the Division.
Benefit premiums, premium principles, fully continuous and fully discrete premiums. Benefit reserves and their analysis. Insurance models including expenses. Course Hours:H(3-1T) Prerequisite(s):Mathematics 323 or Statistics 323 and Mathematics 353 or 381 and Actuarial Science 327.
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:H(3-0) Prerequisite(s):Actuarial Science 327 and Mathematics 323 or Statistics 323; or consent of the Division.
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 multiple decrement theory. Asset shares. Business and regulatory considerations. Course Hours:H(3-1T) Prerequisite(s):Actuarial Science 327 and Mathematics 323 or Statistics 323 and Mathematics 353 or 381.
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:H(3-1T) Prerequisite(s):Actuarial Science 327 and Mathematics 323 or Statistics 323.
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:H(3-0) Prerequisite(s):Actuarial Science 327 and Mathematics 323 or Statistics 323.
Offered under various subtitles. Course Hours:H(3-0) Prerequisite(s):Actuarial Science 327 and Mathematics 323 or Statistics 323 and Mathematics 353 or consent of the Division. MAY BE REPEATED FOR CREDIT