RM 214 – Review Prob Theory (1.5)
This course introduces students to actuarial science topics and the actuarial profession. To become an actuary, individuals must pass a series of professional examinations that accredit them as professionals in the field. This course provides an introduction to the material on the earlier exams such as applications of probability theory to insurance, financial mathematics (compound interest and annuities), and provides instruction on spreadsheets, so that students can perform their homework using them. Topics covered include applications of the following to insurance and actuarial science: conditional probability, independence, combinatorial principles, Bayes Theorem, and random variables. Specific probability distributions used include the binomial, uniform, Poisson, geometric, negative binomial, hyper-geometric, and multinomial discrete distributions, as well as the exponential, normal, uniform, and gamma continuous distributions. Expectations, distribution parameters, means, medians, modes, variances, skewness, and moment generating functions are also covered. The more advanced topics of joint, marginal, and conditional distributions are used, along with functions and transformations of random variables. The application of probability theory to risk management is addressed. Throughout the course, sample problems will be reviewed to help prepare students for the actuarial professional exams.
RM 410 – FIN MATH FOR ACTSC (3)
Compound interest and annuity functions; life annuities; equations of value; determination of yield rates; bonds; introduction to derivatives. R M 410 Financial Mathematics for Actuaries (3) The first section of the course focuses on Interest Theory, including compound interest, annuities- certain, and life annuities; equations of value; loans and their valuation; the pricing of bonds (with and without default), determining their yields to maturity and outstanding balances; determination of yield rates, spot rates, forward rates, and At-Par rates; duration of an asset or liability, and immunization of interest rate risk. The second section introduces students to derivatives, including the description, payoffs, and profits of forwards, futures, puts, calls, and swaps, and how to use them to manage a company's or investor's financial risks. The course helps prepare actuarial students for the international actuarial exam FM (Financial Mathematics).
RM 494H – Research Project (2)
Supervised honor student research projects identified on an individual or small-group basis.
R M 410 – Compound Interest and Annuities (3)
Compound interest and annuity functions; life annuities; equations of value; determination of yield rates; bonds; introduction to derivatives.