Description: Prepared for the Society of Actuaries by STATLAB at the University of Western Ontario, this report contains the results of a cash flow testing, ‘CFT,’ software survey performed in 2004. The results were based on the responses of 110 life insurance companies in the U.S. and Canada. The goal of the survey was to produce a report that will serve as a reference for comparing the available CFT packages and lead to better software and modeling techniques. CFT refers to analysis which is used to support both the Asset Adequacy Analysis for the Actuarial Opinion for U.S. companies, and the ALM Provision for Adverse Deviations in applying the Canadian Asset Liability Method to determine reserves for Canadian companies.

Description: Many quantities arising in non-life insurance depend on claim severity distributions, which are usually modeled assuming a parametric form. Obtaining good estimates of the quantities, therefore, reduces to having good estimates of the model parameters. However, the notion of 'good estimate' depends on the problem at hand. For example, the maximum likelihood estimators [MLE] are efficient, but they generally lack robustness. Since outliers are common in insurance loss data, it is therefore important to have a method that allows one to balance between efficiency and robustness. This presentation suggests a general estimation method that we call the method of trimmed moments [MTM]. This method is appropriate for various model fitting situations including those for which a close fit in one or both tails of the distribution is not required. The MTM estimators can achieve various degrees of robustness, and they also allow the decision maker to easily see the actions of the estimators on the data, which makes them particularly appealing.

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 paper presents a model for analyzing the impact of underwriting cycles on an insurer’s surplus. The model allows the insurer to vary its security loading in response to the cycles, with a strategy parameter that indicates the extent to which the insurer follows the loading which prevails in the market. The insurer’s claim rate is also allowed to vary to reflect exposure changes that result from the insurer’s strategy. The paper analyzes ruin probabilities using both simulation and a Lundberg-type upper bound which is developed in the paper. It finds that the latter is suitable and convenient for comparing ruin probabilities under the different insurer strategies.

Description: This paper presents an approach to analyzing continuing care retirement community [CCRC] data, and demonstrates the methods using data from a large CCRC. It is assumed that residents make transitions among a number of states that represent the levels of care required by residents. There is randomness associated with both the transition times and the states entered at these times. The model is conveniently characterized in terms of transition intensity functions, which represent the instantaneous rates of transition between pairs of states.

Description: This paper presents an approach to analyzing continuing care retirement community CCRC data and demonstrates the methodology by using data from a CCRC. From The Old-Age Crisis - Actuarial Opportunities - The 1996 Bowles Symposium, M-RS99-1.

Description: This paper develops a general approach to actuarial calculations in applications that can be modeled as multi-state processes. Such situations arise when benefits are payable upon a change in the status of the insured or while the insured maintains a given status. From the Transactions of Society of Actuaries 1994, Vol. 46.

Description: This paper presents a statistical analysis of advanced age mortality data, using extreme value models to quantify the upper tail of the distribution of human life spans. From 2005 Living to 100 and Beyond Monograph, M-LI05-1.

Description: This paper presents some preliminary results of an analysis of data from a regional municipality in Ontario to assess long term care risks. The data includes information on the optimal level of care at one or more points in time for each individual under study modelled using a Markov process.

Description: This paper presents an analysis of mortality in a sample of 441adults aged 55 to 85 at baseline, who were observed for eight years. The study was initiated for the purpose of analyzing age-related changes in a variety of physical variables and their impact on functional independence. The modeling approach is discussed and the factors which were most significantly related to mortality.