RM 415Modeling for Actuarial Science

3 credits · Risk Management · Penn State

Modeling for Actuarial Science provides detailed actuary principles dealing with models of interest rates used to price liabilities, and models of stock prices and options used to price employee options and cash balance accounts. The first section of the course focuses on discrete models, such as binomial option pricing, which can be used for pricing employee stock options. The second section covers put-call parity, the effects of style, maturity, and strike price on option prices, generalized parity, and exchange options. The third section looks at continuous models such as: 1) the Black-Scholes formula and it's applications to options on stocks, currencies, futures, and market-making, 2) Delta-Hedging and the understanding of and pricing of exotic options (Asian, Barrier, Compound, Gap, and Exchange Options), 3) understanding lognormal distributions, Monte Carlo testing, Brownian motion, Ito's Lemma, historic and implied volatility, Sharpe ratios, interest rate models, and the application of these to liabilities. The course assists in preparing students for the international actuarial exam MFE (Models in Life Contingencies).