Description: This is the abstract of the paper 'A Stochastic Definition of Future Shares'. The traditional definition of actuarial future values and stochastic definition of Ramsay are discussed. A modification of Ramsay's definition is proposed and an application to life insurance reserves is presented.

Description: This paper proposes to put the environment into financial markets. It explains how to do it, and why the financial approach is practically the only one able to stop and invert environmental degradation. The author concentrates on deforestation which is the largest environmental problem in the third world, and explains how to start the project and what kind of optimization problems should be solved for applications of the project.

Description: Presented at May 1996 Spring Meeting. Panelists discuss the accounting, tax, internal control, and regulatory issues associated with derivative securities and provides an update on recent developments.

Description: In December 2007, Goldman Sachs launched a product called QxX index swap, which is designed to allow market participants to hedge or gain exposure to longevity and mortality risks. This presentation offers a quantitative analysis of this brand new financial innovation. First of all, the presentation sets up a risk-neutral framework to price QxX index swaps. This framework, which is based on the dynamics of death rates under a two-factor stochastic mortality model in a risk-adjusted probability measure, yields prices [spreads] that are fairly close to the spreads that Goldman Sachs currently offers. The presentation then explores the uncertainty involved in this model-based pricing framework. Specifically, it studies parameter risk by using Markov Chain Monte Carlo [MCMC] and model risk by examining structural changes in mortality dynamics. The results indicate that both model risk and parameter risk are significant. Actuaries should therefore be aware of these issues when placing a value on a longevity index swap.

Description: One of the most important problems in Finance is the valuation of financial securities written on underlying assets whose prices are subject to uncertainty. This paper presents a technique to estimate the unknown stochastic volatilities by solving the inverse problem associated with the parabolic partial differential equation governing risk neutral derivative security prices. This technique can be applied in a very general multi-factor setting and numerical examples are provided.

Description: Presentation from the Actuarial Research Conference describing risk management at a leading Canadian Bank.

Description: These are the abstract and reference of the paper 'Bounds on Multiple Contingent Claims'. Lo considered the problem on bounding a European option on a single asset. He obtained an upper bound on the payoff of the European call in terms of the mean and variance of the underlying asset. In this talk, we extend Lo's result to the multi-asset case. Unlike the one asset case, the correlations between the assets play an important role and have to be taken into consideration.

Description: This is the abstract of the paper Quasi-Monte Carlo Methods in Numerical Finance. This paper introduces and illustrates a new version of the Monte Carl method that has attractive properties for the numerical valuation of derivatives. The traditional Monte Carlo method has proven to be a powerful and flexible tool for many types of derivatives calculations.

Description: This presentation discusses a technique to reduce the bias from using Monte Carlo simulation to value American options.

Description: This session is from the 1995 SOA Spring Meeting. Panelists discuss practical uses of derivatives, including interest rate and equity options and swaps. Specific derivatives include constant maturity Treasury CMT caps, equity-linked notes - ELNs and OTC puts. From Record of Society of Actuaries Vol. 21, No. 1.