Description: In this paper, we illustrate how to value American-style options using the Least-Squares Monte Carlo LSM approach proposed by Longstaff and Schwartz 2001 and investigate whether there exists an optimal regression complexity in the LSM framework for options pricing. In particular, we use the smoothing spline in the regression step, which allows us to control the regression complexity on a continuous scale with just one tuning parameter. Numerical results on American put options indicate that we need to use more than a linear regression, but as the regression becomes more complex, the accuracy of the LSM method quickly deteriorates. From 39th Actuarial Research Conference.

Description: Presenters cover the outlook for credit defaults over the next 12 months and approaches used to price the debt market e.g., Merton's 1973 paper and subsequent developments. Attendees leave with an understanding of how the capital markets value debt issuance and knowledge of future trends in default risk. From the Record of the Society of Actuaries, Volume 29, No. 1: Washington, D.C. Spring Meeting, May 29–30, 2003, Session 10OF.

Description: The manner in which the actuarial profession models and manages mortality risk is undergoing dramatic changes. New modeling techniques have led to better risk management tools. Capital markets solutions are evolving for insurers wishing to protect against unfavorable mortality developments in both life insurance and annuity products. In this session recent key developments in mortality modeling and in the transfer of mortality risk are examined. From Record of Society of Actuaries, Vol. 30, No. 3: Annual Meeting and Exhibit, New York, NY, October 24-27, 2004, Session 133 TS.

Description: Hybrids of the soft computing SC technologies have been applied to market forecasting and trading rules, and in many cases have demonstrated better performance than competing approaches. The purpose of this research is to investigate a representative group of these applications and to document the manner in which hybrids of the SC technologies were implemented.

Description: This paper discusses the martingale approach for pricing American-type options without an expiry date. These options include the perpetual American put option and the perpetual maximum option in one stock case. The word “perpetual” means that the option has no expiry date. A main tool in this approach is the principle of smooth pasting.

Description: This paper discusses the theoretic framework of modeling captial markets: index-based composition methodology and statisical procedure of model construction and extension: wavelets-based financial signal processing technique. It also discusses the implications and applications, measuring the market uncertainty and volatility highlighting the S&P 500 as an example.