Description: Discussion of Capital Market Modeling techniques

Description: This session covers stochastic modeling processes currently in use and explores others that may be beneficial to health actuaries. From the Record of the Society of Actuaries, Vol. 31, No. 2, Session 76

Description: Presentation from the 41st Actuarial Research Conference held on August 10-12, 2006 in Montreal, Canada. Fuzzy set theory is incorporated into times series analysis, giving fuzzy parameter estimates of models such as ARMA and GARCH. Examples are given, including returns on a stock and option valuation.

Description: The article describes the key components of actuarial model, leading practices in designing them, and characteristics of well-built models.

Description: This paper presents an introduction to collective risk theory. In collective risk theory one seeks to investigate directly the risk enterprise as a whole. Primary interest is focused not upon the gains, losses, or claims from individual policies but upon the amount of total claims or the total gain arising from all the policies in the portfolio considered. Followed by several discussion papers submitted.

Description: Feature article discussing the use of stochastic volatility models in the pricing of investments and options.

Description: This session presents a summary of actuarial and potential uses of stochastic modeling for health actuaries. Three case studies are presented: rating health plan reimbursement provisions, developing claim liabilities, and defining appropriate reinsurance levels. From the Record of the Society of Actuaries, Volume 30, No. 1, Session 18

Description: Discussion of Living to 100 Session 6A: Projection and Statistical Modeling of Mortality at Late Age

Description: We consider Libor market model and calibration process. We estimate some interest rate derivatives such as Caps and Swaptions. We use Monte Carlo methods with appropriate dynamics under spot measure and forward measure. Imposing martingale discretization property, the same quantities are estimated again to see a contrast or discrepancy in light of confidence interval. Based on algorithms discussed in the paper, “Arbitrage-free discretizations of lognormal forward Libor and swap rate models” by Glasserman, P and Zhao, X 2000, the algorithms are implemented in excel VBA. Starting with current market data such as FRAs and Bond Prices, we describe steps involved to estimate the price of interest rate derivatives such as Caps and Swaptions, which would be beneficial to the practitioners in the industry.