Description: The Annual Reports of the Trustees, for the Social Security Trust Funds, are cornucopia of data. However, the major focus is on projections expressed as a percentage of payroll. The purpose of this paper is to suggest that additional measures - which would supplement, rather than replace the percentage of payroll data - should be examined to evaluate the projected effect of the cash benefits OASDI program.

Description: This paper presents a multi-state stochastic model for analyzing continuing care retirement community CCRC populations. The model considers CCRCs with a number of independent living units and a skilled nursing facility. Residents may transfer temporarily or permanently to this facility. It is assumed that units vacated by deaths, withdrawals or permanent transfers are immediately occupied by new residents. Transfers are modeled using a time-homogeneous Markov process. The paper provides some probabilistic results and some numerical results obtained using this model. Some important generalizations of the model are also briefly discussed.

Description: This note develops the optimality of the put option as a hedging strategy. For an investor who owns a stock, he can buy a put option to hedge against the downside risk of the stock price. In this short note, we ask two questions with the hedge strategy of the put option. First, whether the investor is better off with the hedging strategy? Second, if the investor is better off with the hedging strategy, whether it is the optimal hedging plan? Our result shows that in a risk averse world an investor will maximize his utility with buying the put option as a hedge strategy.

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 examines the problem of hedging foreign exchange risk across multiple countries using currency options. The profit target requirement is formulated as a stochastic constraint in the context of a binomial lattice. Models are presented for European options. In a numerical example, five currency options are selected, allowing for long or short positions, depending on the target value.

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: 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: All claim reserve systems endeavor to derive estimates of the unpaid portion of claims which have been incurred over a given period of time, making use of information on numbers of claims and amounts paid on claims as of the valuation date. In this paper, a claim reserve system is described. While the system does produce the traditional type of single-point estimates of claim reserves, it also provides the user with frequency distributions of claim reserves