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Journal Of Actuarial Practice, Volume 8, Nos. 1 And 2 (2000), Colin Ramsay , Editor

Journal of Actuarial Practice (1993–2006)

Complete volume, includes ARTICLES:

Realistic Pension Funding: A Stochastic Approach • Shih-Chieh Chang 5

Risk Sources in a Life Annuity Portfolio: Decomposition and Measurement Tools • Mariarosaria Coppola, Emilia Di Lorenzo, and Mari/ena Sibillo . .43

A Comparative Study of the Performance of Loss Reserving Methods through Simulation • Prakash Narayan and Thomas Warthen 63

Concentration in the Property and Liability Insurance Market by Line of Insurance • Edward Nissan and Regina Caveny 89

Safe-Side Requirements in Life Insurance: A Corporate Perspective • Annamaria Olivieri and Ermanno Pitacco 115

Actuarial Analysis of Retirement Income Replacement Ratios • Robert Keng Heong …

Modeling Corporate Bond Default Risk: A Multiple Time Series Approach, Wai-Sum Chan

Journal of Actuarial Practice (1993–2006)

A multiple time series approach is used to forecast the short-term u.s. corporate bond default level. These time series have two auxiliary economic variables: U.S. price inflation and U.S. GNP growth rate. Actual U.S. data from the turn of the century to the present are used to estimate the parameters of multivariate time series model. Diagnostic checks are performed to examine adequacy of the model. The model's forecast for the aggregate U.S. bond default level in 2000-2001 are 0.42% and 0.56%, respectively, while the forecast for the speculative-grade default rate in 2000 is 3.6%, which is more pessimistic than some …

Actuarial Analysis Of Retirement Income Replacement Ratios, Robert Keng Heong Lian, Emiliano A. Valdez, Chan Kee Low

Journal of Actuarial Practice (1993–2006)

A measure of level of post-retirement standard of living is the replacement ratio, i.e., percentage of final salary received as annual retirement income derived from savings. The replacement ratio depends on many factors including salary, salary increases, investment returns, and post-retirement mortality. Elementary life contingencies techniques are used to develop a replacement ratio formula and analyze its sensitivity to these factors.

Life Contingencies With Stochastic Discounting Using Moving Average Models, Steven Haberman, Russell Gerrard, Dimitrios Velmachos

Journal of Actuarial Practice (1993–2006)

This paper offers simplified procedures for calculating moments of functions in life contingencies when the random force of interest is modeled using an unconditional moving average process of order q, MA(q). It extends the MA(l) model that has been used for stochastic discounting. Using the more general MA(q) model allows actuaries to better capture the auto correlation between successive interest rates in a time series.

Independent Claim Report Lags And Bias In Forecasts Using Age-To-Age Factor Methodology, Stewart Gleason

Journal of Actuarial Practice (1993–2006)

This paper finds that when report lags are assumed to be independent, the age-to-age factor method produces biased estimates when applied to claim count development data. Two distributions are considered as models for the ultimate number of claims for an accident period: (0 a Poisson distribution, and (ii) a negative binomial distribution. In the Poisson case, the assumption of independent report lags implies the independence of the total number of claims reported in any two periods. In the negative binomial case, however, assuming that report lags are independent does not imply that increments are independent, and a somewhat different argument …

Concentration In The Property And Liability Insurance Market By Line Of Insurance, Edward Nissan, Regina Caveny

Journal of Actuarial Practice (1993–2006)

This paper uses an National Association of Insurance Commissioners (NAIC) 1995 data set to examine the concentration of property and liability insurance by line of insurance in the U.S. The primary measure of concentration used is the Herfindahl index. The largest 100 affiliates are divided into three largest sets of 20, 30, and 50. We find that the homeowners line is the most concentrated line and commercial auto physical damage is the least concentrated line, with the top 20 affiliates commanding the largest between-set and within-set contributions.

Risk Sources In A Life Annuity Portfolio: Decomposition And Measurement Tools, Mariarosaria Coppola, Emilia Di Lorenzo, Marilena Sibillo

Journal of Actuarial Practice (1993–2006)

The paper considers a model for a homogeneous portfolio of whole life annuities immediate. The aim is to study two risk factors: the investment risk and the insurance risk. A stochastic model of the rate of return is used to study these risk factors. Measures of the insurance risk and the investment risk for the entire portfolio are suggested. The problem of the longevity risk is presented, and its consequences with different projections of the mortality tables are analyzed. The model is applied to some concrete cases, and several illustrations show the importance of the two components of the riskiness …

A Comparative Study Of The Performance Of Loss Reserving Methods Through Simulation, Prakash Narayan, Thomas Warthen

Journal of Actuarial Practice (1993–2006)

Actuaries are often asked to provide a range or confidence level for the loss reserve along with a point estimate. Traditional methods of loss reserving do not provide an estimate of the variance of the estimated reserve, and actuaries use various ad hoc methods to derive a range for the indicated reserve. We use a Monte Carlo simulation method to compare various loss reserve estimation methods, including traditional methods and regression-based methods of loss reserving.

Safe-Side Requirements In Life Insurance: A Corporate Perspective, Annamaria Olivieri, Ermanno Pitacco

Journal of Actuarial Practice (1993–2006)

Safe-side requirements concern the assumptions used to calculate premiums in relation to a set of more realistic assumptions. Roughly, safe-side requirements express the capability of premiums to generate positive margins. In a strictly actuarial framework, safe-side requirements are given in terms of some notion of expected profit, calling for assumptions that let such profit be non-negative. An expected profit of zero, however, is not a realistic aim for the insurer. We investigate the notion of conservative assumptions by adopting a unconventional approach. Our focus is the management of the financial resources coming both from premiums and from shareholders' capital. This …

Realistic Pension Funding: A Stochastic Approach, Shih-Chieh Chang

Journal of Actuarial Practice (1993–2006)

The process funding pension plans is viewed as a dynamic control process. Two performance measures are introduced to evaluate the effectiveness of plan contributions: the cost-induced performance measure (CIPM) and the ratio-induced performance measure (RIPM). A dynamic programming approach is used to determining the optimal contributions with the objective of minimizing the performance measure. The methodology developed is applied to a sample of members of Taiwan's Public Employees Pension Plan (Tai-PERS). We show that RIPM produces more stable results than those using CIPM.

Quick Access: Find Statistical Data On The Internet, Di Su

Publications and Research

In a typical business library, current or historical quotes on interest rates, foreign exchange rates, stocks, etc. are requested frequently. This article reviews and annotates a selected list of sources on the Internet that provide most popular statistical data in an accounting library.

New Business Initiatives And Financial Performance, Douglass Cagwin

Graduate Theses and Dissertations

This dissertation examines the relationship o f improvement in financial performance with use o f new business initiatives such as JIT, TQM, and ABC. The investigation is organized into three areas o f inquiry that telescope from the general to the specific to reach a conclusion regarding the efficacy of initiatives. The first two studies contain regression analyses o f the association between the use of the initiatives and change in industry mean-adjusted ROI. The third study develops and test a comprehensive structural model that incorporates factors postulated by previous researchers to affect the efficacy of ABC. Data are obtained …

1998-1999 Financial Summary, Morehead State University. Budget & Financial Planning Office.

Morehead State University Financial Summaries Archive

1998-1999 Financial Summary of Morehead State University.

The Role Of A School Business Manager : A Reflective Essay, Carl D. Benning

Graduate Research Papers

The responsibilities of a school business manager are diverse, complex, dynamic, variable, and vast in scope. Although the role of an individual school business manager is determined and defined by local district policies and customs, the personal philosophies of the business manager, superintendent, and board of education have a tremendous impact on the actual responsibilities. Situations presented in this paper pertain to Iowa public K-12 schools. References made to federal actions, or other outside influences, are made only to gauge and assess the impacts on Iowa K-12 schools. The personal ideas and feelings expressed in this paper are the results …

1999-2000 Operating Budget, Morehead State University. Budget & Financial Planning Office.

Morehead State University Operating Budgets Archive

1999-2000 Operating Budget of Morehead State University.

A Study Note On The Actuarial Evaluation Of Premium Liabilities, Claudette Cantin, Philippe Trahan

Journal of Actuarial Practice (1993–2006)

Several approaches have been used to estimate premium liabilities. The emphasis of these approaches has been on unearned premium and deferred policy acquisition expenses (DPAE), as such items represent the largest components of premium liabilities. The purpose of this paper is to provide a framework for the evaluation of premium liabilities and to augment the actuarial literature. We define and review the individual components of premium liabilities as well as the regulatory requirements and Canadian Institute of Actuaries recommendations and standards of practices related to premium liabilities. We also present an actuarial approach for estimating equity in the unearned premium, …

Commissioners Annuity Reserve Valuation Method (Carvm), Keith P. Sharp

Journal of Actuarial Practice (1993–2006)

This paper describes the commissioners annuity reserve valuation method (CARVM) and highlights the fundamental contrast with insurance valuation. Numerical examples illustrate methods of applying CARVM to particular annuity designs. The application of NAIC Actuarial Guideline 13 on bailouts is given particular attention.

Credibility Calculations Using Analysis Of Variance Computer Routines, Dennis H. Tolley, Michael D. Nielsen, Robert Bachler

Journal of Actuarial Practice (1993–2006)

In this paper we present a method of calculating Buhlmann-Straub credibility factors using standard statistical techniques developed for the analysis of variance. Emphasis is placed on using readily available statistical packages such as SAS and SPSS. Additionally many other computational tools such as EXCEL can be programmed to make such calculations. An example and some sample SAS programs are provided.

Determination Of Optimal Premiums As A Constrained Optimization Problem, Farrokh Guiahi

Journal of Actuarial Practice (1993–2006)

A simple stochastic model of an insurer's underwriting and related investment operations is used to determine the optimal amounts of written premiums for one period for the insurer's book of business. The written premium for each class is determined by the solution of a constrained optimization problem. The insurer's objective function is the expected profit on a book of business over the period. The insurer has a safety constraint where a certain portion of capital and surplus can be depleted with a small probability. This paper provides an explicit solution for optimum expected profit and corresponding written premiums by classes. …

A Fuzzy Approach To Grouping By Policyholder Age In General Insurance, Richard J. Verrall, Yakoub H. Yakoubov

Journal of Actuarial Practice (1993–2006)

In general insurance, policyholder age is often treated as a factor with the number of levels requiring that the individual ages of the policyholders be grouped. Although the groups are usually defined by the existing underwriting structure, it should be investigated as part of any premium rating exercise that uses a model to assess past claims experience. It is possible that an incorrect grouping by policyholder age could bias the results of the risk premium estimation. On the other hand, it may not be computationally feasible to use separate ages in the premium model, making some form of grouping necessary. …

Multilife Premium Calculation With Dependent Future Lifetimes, Michel Denuit, Anne Cornet

Journal of Actuarial Practice (1993–2006)

Actuaries traditionally have calculated multi-life (joint life) premiums by assuming the independence of the future lifetimes of insured persons. Recent studies, however, demonstrate dependence of the future lifetimes of couples (such as husbands and wives). This dependence materially affects the values of multi-life annuities and insurances. Using the Frechet-Hoeffding bounds and Norberg's Markov model, we determine the effect of this dependence in lifetimes on the actuarial present values of a widow's pension benefit.

Recognizing Actuarial Assumptions, Victoria Stachowski, Alice Underwood

Journal of Actuarial Practice (1993–2006)

As assumptions underlie every aspect of actuarial calculations, actuaries must be aware of the assumptions they are using and understand their importance and the possible effects of changing assumptions on the results of their calculations. This paper explores the nature of assumptions in: (i) mathematical models, (ii) data selection, (iii) actuarial methods, and (iv) the business environment. We examine reasons for making assumptions such as convenience, tradition, indications in the data, or lack of data. In addition, we discuss (i) how actuaries can judge whether these reasons are sufficient; (ii) methods that can help actuaries quantify the impact of their …

Carvm And Naic Actuarial Guidelines 33 & 34, Keith P. Sharp

Journal of Actuarial Practice (1993–2006)

Annuity valuation under the NAIC Standard Valuation Law is determined according to methods different from those methods used for life insurance. The CARVM assumption of efficient policyholder selection is clarified under NAIC Actuarial Guidelines 33 and 34 to allow for non-elective (e.g., death) benefits. In particular, Actuarial Guideline 34 is oriented toward variable annuities and prescribes methods to be used in the presence of a minimum guaranteed death benefit. In this paper these methods are examined and illustrated with examples.

Journal Of Actuarial Practice, Volume 7, Nos. 1 And 2, 1999, Colin Ramsay , Editor

Journal of Actuarial Practice (1993–2006)

ARTICLES

A Study Note on the Actuarial Evaluation of Premium Liabilities • Claudette Cantin and Philippe Trahan (First Prize)

Recognizing Actuarial Assumptions • Victoria Stachowski and Alice Underwood (Second Prize)

Commissioners Annuity Reserve Valuation Method (CARVM) • Keith P. Sharp (Third Prize)

CARVM and NAIC Actuarial Guidelines 33 & 34 • Keith P. Sharp

Multilife Premium Calculation with Dependent Future Lifetimes • Michel Denuit and Anne Cornet

A Fuzzy Approach to Grouping by Policyholder Age In General Insurance • Richard J. Verrall and Yakoub H. Yakoubov

Determination of Optimal Premiums as a Constrained Optimization Problem • Farrokh Guiahi

Credibility Calculations …

A Note On Going-Concern Modified Audit Reports And Subsequent Bankruptcies Before And After Sas No. 59, Marshall A. Geiger, Kannan Raghunandan, Dasaratha V. Rama

Accounting Faculty Publications

Several papers have examined the proportion of bankrupt companies which did not have a prior going-concern modified report (a type II reporting error) before and after Statement on Auditing Standards No. 59 became effective. This paper contributes to the debate by examining the subsequent viability status for companies that received a first-time going-concern modified audit report (type I reporting errors) before and after SAS No. 59. The results indicate that 13.6 (10.1) percent and 24.3 (20.2) percent of companies receiving a first-time going concern modified audit report in the post-SAS No. 59 (pre-SAS No. 59) period entered bankruptcy within one …

Towards Relevancy In Financial Reporting: Mark-To-Market Accounting, Eunsup Daniel Shim, Joseph M. Larkin

WCBT Faculty Publications

The objectives of this paper are to: discuss the relevancy vs. reliability of current financial reporting practices, survey the literature that describes the impact of mark-to-market accounting, critically examine current GAAP financial statements by comparing them to market value financial statements. With theoretical discussions and a case study, this paper shows that the mark-to-market accounting could present better about the economic reality of transactions and, therefore, tends to provide more useful and relevant information than does historical cost financial reporting. This study suggests that if the objective of financial reporting is to provide "useful" information to the users, existing GAAP …

Qualitative Materiality In Government Audit Planning, Sridhar Ramamoorti, Andrea Lee Hoey

Accounting Faculty Publications

The political sensitivity of the area under audit to adverse media exposure and litigation concerns the nature rather than the size of an amount, such as illegal acts, bribery and corruption, related party transactions, snowballing patterns of error and other risks that grow over time. Qualitative materiality considerations should not be ignored-they can and frequently do influence the nature and scope of governmental audits. Financial Accounting Standards Board Concepts Statement No. 2 defines materiality as the magnitude of an omission or misstatement that would influence the decisions of a user of financial statements. Audit planning needs to incorporate considerations of …

1998-1999 Operating Budget, Morehead State University. Budget & Financial Planning Office.

Morehead State University Operating Budgets Archive

1998-1999 Operating Budget of Morehead State University.

1997-1998 Financial Summary, Morehead State University. Budget & Financial Planning Office.

Morehead State University Financial Summaries Archive

1997-1998 Financial Summary of Morehead State University.

Using Parametric Statistical Models To Estimate Mortality Structure: The Case Of Taiwan, Shih-Chieh Chang

Journal of Actuarial Practice (1993–2006)

A mixture parametric model is used to analyze the changing pattern of Taiwanese mortality from 1926 to 1991. Three different age ranges are modeled as mixtures of extreme value distributions, namely the Weibull, inverse Weibull, and Gompertz distributions. The results show a significant improvement of mortality over the years.