21 courses in Waterloo’s course catalog for 2020–21 (Fall 2020, Winter 2021, Spring 2021), from UW Open Data. ucalendar asks programs not to read that year’s calendar, so this stands in for it. Original: ucalendar.uwaterloo.ca/2021/COURSE/course-ACTSC.html
The theory of rates of interest and discount; annuities and sinking funds with practical applications to mortgage and bond questions. Yield rates. [Offered: F,W,S]
Prereq: Level at least 2A; Not open to Actuarial Science students. Antireq: ACTSC 231; (For Mathematics students only - CIVE 292/392)
The theory of rates of interest and discount including the theoretical continuous case of forces of interest and discount. Annuities and sinking funds, including the continuous case. Practical and theoretical applications primarily to mortgages and bonds. Yield rates. [Offered: F,W,S]
Prereq: MATH 137 or 147 and (STAT 220 with a grade of at least 70% or a corequisite of STAT 230 or 240); Level at least 2A; Not open to students who have received credit for ACTSC 232. Antireq: ACTSC 221
The future lifetime random variable: probability and survival functions; force of mortality; complete and curtate expectation of life; Makeham and Gompertz mortality laws. Life tables: characteristics of population and insurance life tables; selection; fractional age assumptions. Life insurance payments and annuity payments: present value random variables; expected present values; higher moments; actuarial notation. Annual, 1/mthly and continuous cases. Relationships between insurance and annuity functions. Premiums: expense loadings. Present value of future loss random variables and distribution, net and gross cases. Equivalence principle. Portfolio percentile principle. Extra risks. [Note: Students who have met the ELPE requirement must contact their ACTSC advisor. Offered: F,W,S]
Prereq: (At least 60% in ACTSC 231) and (STAT 230 or 240) and (at least 60% in MTHEL 131). Not open to students who received credit for ACTSC 331.
This is the first in a two-course sequence that deals with corporate financial decision-making. Topics may include time value of money, capital budgeting, cost of capital, security issuance, capital structure, payout policy and dividends, short term finance, and risk management. Where suitable, topics are treated from a mathematical and quantitative perspective.
Prereq: MATH 136 or 146, 138 or 148; Accounting & Financial Management, Computing & Financial Management, Mathematics/ CPA or Science Biotechnology/Chartered Accountancy students. Coreq: STAT 231 or 241. Antireq: AFM 273, ACTSC 371, ECON 371
Policy Values: Annual, 1/mthly, and continuous cases. Thiele's equation. Modified premium policy values. Multiple state models: applications in life contingencies; assumptions; Kolmogorov equations; premiums, policy values, multiple decrement models. Joint life models: valuation of insurance benefits on joint lives, dependent and independent cases. [Note: Some of the material covered in STAT 333 reinforces some of the concepts covered in this course. Therefore students might find it beneficial to take STAT 333 and ACTSC 331 at the same time. Offered: F,W,S]
Prereq: ACTSC 232 with a grade of at least 60%; Actuarial Science students only
ACTSC 363Casualty and Health Insurance Mathematics 1
Models for loss frequency: Poisson, negative binomial, binomial, (a, b, 0) class; models for loss severity including exponential, gamma, lognormal, Pareto, and Weibull; impact of policy adjustments on loss frequency and severity; estimation; compound Poisson models; aggregate claims models: properties, recursion, simulation, and pricing; deterministic reserving methods: chain ladder and Bornhuetter Ferguson; introduction to reinsurance. [Offered: F,W]
Prereq: Actuarial Science or Mathematical Finance students only. Coreq: STAT 330. Antireq: ACTSC 431 (taken in or before spring 2020).
Introduction to capital markets. Analysis of equity and fixed income investments. Introduction to derivative securities including futures, forwards, swaps, and options. [Offered: F,W,S]
Capital budgeting. Real options. Investment decision using Markowitz and utility theory. Capital asset pricing model. Arbitrage pricing theory. Market efficiency. Capital structure and dividend policy. Advanced topics. [Offered: F,W,S]
ACTSC 431Casualty and Health Insurance Mathematics 2
Advanced models for loss frequency: (a, b, 1) class, mixed and compound Poisson models; concept of infinite divisibility; advanced models for loss severity: combination of exponentials, mixed Erlang, extreme value distributions; measure of distribution tails; impact of policy adjustments on loss frequency and severity; estimation; advanced aggregate claims models: properties, analytic results, (double) recursion, and pricing; risk measures. Other topics which may be covered include aggregate claim models with dependence, time-dependent claims, and ruin theory. [Offered: F,S]
Prereq: ACTSC 363 with a grade of at least 60%, STAT 330; Actuarial Science or Mathematical Finance students only
This course introduces enterprise risk management, with a focus on quantitative analysis and economic capital. Risk classification is first discussed with an emphasis on the types of risk most suited to quantitative methods. Risk measures, such as Value-at-Risk (VaR) and Conditional Tail Expectation (CTE or TVaR), are then introduced and their use by firms and regulators to determine risk capital requirements is further highlighted. Different approaches are considered for developing loss distributions, including frequency/severity analysis and extreme value theory. Copulas and economic scenario generators are used to aggregate dependent risks. Different strategies for mitigating or transferring risk are reviewed. Additional topics that may be covered include credit risk, capital allocation, and regulation of financial institutions. [Offered: F,S]
This course covers mathematical techniques for no-arbitrage pricing and hedging financial derivatives. Topics to be covered can be classified into three broad areas: derivatives markets (options; forwards and futures; other derivatives; put-call parity), discrete-time financial models (binomial models; general multi-period models; Fundamental Theorems of Asset Pricing; risk-neutral probability), and continuous-time financial models (basic stochastic calculus and Itô's lemma; Black-Scholes model; interest rate models and bond pricing). [Offered: F,W]
Theory and practice of pension plan funding. Assumptions, basic actuarial functions, and population theory applied to private pensions. Concepts of normal costs, supplemental liability, unfunded liability arising from individual accrued benefit, and projected benefit cost methods.
Prereq: ACTSC 331; Actuarial Science or Mathematical Finance students only
ACTSC 454Longevity and Mortality using Predictive Analytics
Kaplan-Meier and Nelson-Aalen estimators for survival functions. Kernel density models. Validation of mortality tables. Estimators for Markov multiple state transition intensities. Longevity models, including deterministic and stochastic models such as Lee-Carter and Cairns-Blake-Dowd. [Offered: W]
Prereq: ACTSC 331, STAT 330; Actuarial Science or Mathematical Finance students only
Profit testing for traditional and non-traditional life insurance. Pricing and valuation of embedded options in life insurance products. Defined benefit and defined contribution pension plan design. Theory and practice of unit credit methods for pension plan funding and valuation for final average salary, career average earnings, and career average revalued earnings pension plans; post-retirement health benefits.
Prereq: ACTSC 331 with a grade of at least 60%; Actuarial Science or Mathematical Finance students only. Coreq: ACTSC 446
This course covers various advanced topics in corporate finance, with emphasis on theories of corporate incentives and asymmetric information. Illustrative applications using cases are provided.