Description: This paper demonstrates the calculation of the moments of the distribution of aggregate life insurance claims from seriatim inforce data, assuming that each record represents an independent Bernoulli trial with its own known probability of a claim, q. Continuous distributions matching the first three or four moments are identified.

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.

Description: This paper investigates the use of models of dependent mortality for determining annuity values. We discuss a broad class of parametric models using a bivariate survivorship function called a copula. Using data from a large insurance company to illustrate our methods, we calculate maximum likelihood estimates to calibrate the rnodel.

Description: This paper develops an option pricing model that takes cost of capital concepts as its foundation rather than dynamic replication. The resulting model, called the 'C' measure in this paper, is related to the family of Affine Jump Diffusion models that are well known in the finance literature, so it is fairly easy to understand and implement. We argue that this is a reasonable model to use for estimating equity implied volatilities that are beyond the five- to 10-year horizon that can typically be observed in today‘s capital markets. The paper concludes with a short discussion of how to grade from observable market data to the 'C' measure.

Description: Guaranteed Annuity Options GAOs are options available to holders of certain pension policies. This paper studies GAOs using two models for the interest rate the Vasicek and the Cox-Ingersoll-Ross models. An actuarial approach is used to value the GAOs and compared with the value of a replicating portfolio.

Description: Economic capital models are getting increasingly complex. An alternate copula free approach is presented which uses accounting data and an implicit correlation model to simplify economic capital calculations. Model simplification leads to robust and stable models. A banking case study is used to showcase how the model can be deployed using publicly available accounting data, capital adequacy, leverage ratios and shortfall tools.

Description: Considerable attention has been given in the recent past to the likely economic and social impact of Australia’s ageing population. One particular aspect which continues to be the subject of increased commentary and conjecture, is the need and subsequent costs for Long Term Care LTC. In this paper, a multiple state projection model based on a framework by Rickayzen and Walsh 2002 is constructed in order to project the number of people in Australia who are likely to require LTC.

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 presents the modeling of mortality risk from exposure to a potential future extreme event such as a natural disaster and a terrorist attack, and its impact on life insurance. With this new model, quantities associated with the total force of mortality such as survival function are derived and the impact of mortality risk on life insurance is examined.

Description: This paper discusses the actuarial risk measures and uses a variety of estimation techniques such as nonparametric approach, parametric methods and robust procedures. From 39th Actuarial Research Conference, Iowa City, Iowa, August 5-7, 2004.