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A Possibilistic Linear Programming Method For Asset Allocation, Lijia Guo, Zhen Huang

Journal of Actuarial Practice (1993–2006)

The mean-variance method has been one of the popular methods used by most financial institutions in making the decision of asset allocation since the 1950s. This paper presents an alternative method for asset allocation. Instead of minimizing risk for a given expected return or maximizing expected return for a fixed level of risk, our approach considers simultaneously maximizing the rate of return of portfolio, minimizing the risk of obtaining lower return, and maximizing the possibility of reaching higher return. By using a triangular possibilistic distribution to describe the uncertainty of the return, we introduce a possibilistic linear programming model which …

An Approach To Estimating Market Value And Duration Of Interest-Sensitive Whole Life Contracts, Thomas J. Merfeld

Journal of Actuarial Practice (1993–2006)

A fixed premium interest·sensitive whole life contract is analyzed in order to estimate its market value. In addition, using various definitions of duration, we determine the duration of the contract for each definition. The results of this analysis have implications for market value accounting of life insurance liabilities and for life company portfolio management.

Participating Gics: Performance Attribution Analysis, Alec Stais, John P. Toohey Iii

Journal of Actuarial Practice (1993–2006)

The increasing popularity of participating GICs has created a need for an objective understanding of their performance. The fixed income attribution techniques are not adequate for measuring participating GIC performance because they typically restrict performance measurement to concepts such as duration management, sector rotation, and issue selection. We develop an attribution technique based on four components or effects that are helpful in explaining the changes in credited rates. They are the constant duration effect, the reinvestment effect, the cash flow effect, and the investment effect. The underlying mathematical approach to calculating these effects is presented along with examples.

Bias Of Excluding High And Low Data For Long-Tailed Distributions, Cheng-Sheng Peter Wu

Journal of Actuarial Practice (1993–2006)

Property and casualty actuaries frequently employ a technique of averaging (called high-low averages) that excludes the same amount of data at both ends. For example, (0 in selecting loss development factors, the middle three of the latest five years or the middle eight of latest 12 quarters sometimes are used, or (ii) in calculating average expense ratios, the largest expense ratios and the smallest expense ratios may be removed from the sample. Although highlow averages can reduce the impact of influential data on analyzed results, the averages will result in downward bias when they are applied to pricing or reserving …

Third Party Administrator (Tpa) Service Pricing And Incentive Contracts, Hou-Wen Jeng

Journal of Actuarial Practice (1993–2006)

This paper addresses a few of the most important pricing issues faced by a third party administrator (TPA) whose main responsibility is claims handling for self·insured employers and self·insured groups. Such pricing issues include the development of service fees using claim closure information, the selection of service durations, and the design of incentive (either activity-based or financially-based) service contracts. Formulas for pricing new and open claims are provided.

Nonmedical Limits In Individual Life Insurance, James B. Ross, Shalini E. Perumpral

Journal of Actuarial Practice (1993–2006)

This paper shows data that illustrate the substantial variation among nonmedical schedules and the dramatic increase in their amount limits from 1972 through 1992. Coefficients of variation are analyzed for several data subsets. We find that the variation of schedules in the sample of all firms has increased throughout the 1972-1992 period for issue ages up to 30, but has declined for issue ages beyond 30 during the 1982-1992 period. For the non-New York and stock companies our statistical tests indicate an increase in the variability of schedules over the full period 1972 to 1992.

Nonmedical Limits In Individual Life Insurance, James B. Ross, Shalini E. Perumpral

Journal of Actuarial Practice (1993–2006)

This paper shows data that illustrate the substantial variation among nonmedical schedules and the dramatic increase in their amount limits from 1972 through 1992. Coefficients of variation are analyzed for several data subsets. We find that the variation of schedules in the sample of all firms has increased throughout the 1972-1992 period for issue ages up to 30, but has declined for issue ages beyond 30 during the 1982-1992 period. For the non-New York and stock companies our statistical tests indicate an increase in the variability of schedules over the full period 1972 to 1992.

Pension Funding By Normal Costs Or Amortization Of Unfunded Liabilities, Keith P. Sharp

Journal of Actuarial Practice (1993–2006)

We discuss the extent of the actuary's freedom in choosing the funding method for defined benefit pension plans. In particular, we look at funding through a combination of normal costs, amortization of an unfunded liabilities, and fund of assets. The IRS constraint on "reasonable funding methods" is considered, with particular mention of the aggregate entry age normal method. In addition, an algebraic development is performed of year-to-year changes in the status of a plan's funding.

A Proposal For Improving The System Of Financing Health Care In Singapore, Robert Keng Heong Lian, Loi Soh Loi

Journal of Actuarial Practice (1993–2006)

Like many other countries, including the United States, Singapore faces the dual problems of rising health care costs and an aging population. To cope with these problems, the Singapore government introduced the Medishield scheme in 1989 that provides low cost catastrophic medical insurance coverage. The scheme suffers from a serious deficiency, however: coverage ceases at age 70. This deficiency is exacerbated by Medishield's premium payment structure which is akin to the premium structure of a one year renewable term policy so no reserves are developed. As a result, coverage beyond age 70 requires exorbitant premiums that are beyond the reach …

Journal Of Actuarial Practice, Volume 4, No.1, 1996, Colin Ramsay , Editor

Journal of Actuarial Practice (1993–2006)

ARTICLES

An Approach to Estimating Market Value and Duration of Interest-Sensitive Whole Life Contracts • Thomas J. Merfeld

Participating GICs: Performance Attribution Analysis • Alec Stais and John P. Toohey III

Asset Allocation in Investing to Meet Liabilities • Anthony Dardis and Vinh Loi Huynh

A Possibilistic Linear Programming Method for Asset Allocation • Lijia Guo and Zhen Huang

Nonmedical Limits in Individual Life Insurance • James B. Ross and Shalini Perumpral

A Proposed New System of Financing Health Care in Singapore • Robert Keng Heong Lian and Loi Soh Loi

Concentration in American Property-Casualty Companies • Edward Nissan

Bias …

Journal Of Actuarial Practice, Volume 4, No. 2, 1996, Colin Ramsay , Editor

Journal of Actuarial Practice (1993–2006)

ARTICLES

Methodologies for Determining Reserve Liabilities in the Workers Compensation High Deductible Program • Jerome J. Siewert

Third Party Administrator (TPA) Service Pricing and Incentive Contracts • Hou-Wen Jeng

Annuity Choices for Pensioners • M. Zaki Khoransee

Pension Funding by Normal Costs or Amortization of Unfunded Liabilities • Keith P. Sharp

What We Say in the NAIC Annual Statement Blank Actuarial Opinion • Kenneth W. Faig, Jr.

Constrained Forecasting of the Number of IBNR Claims • Louis G. Doray

Editor - Colin Ramsay, University of Nebraska. Associate Editors: Robert Brown, University of Waterloo ○ Cecil Bykerk, Mutual of …

Cross-Tested Defined Contribution Plans, Ho Kuen Ng

Journal of Actuarial Practice (1993–2006)

Cross-tested plans are defined contribution plans that test allocations for nondiscrimination. The test is based on a plan's actuarial equivalent annuity benefits. Cross-tested plans have become popular among small plan sponsors after the release of the nondiscrimination regulations. This paper investigates the pros and cons of cross-testing.

Discussion Of Leonard T. Guarini And Edward P. Lotkowski's "Model Year Rating For Automobile Liability And Injury Coverages", Cheng-Sheng Peter Wu

Journal of Actuarial Practice (1993–2006)

No abstract provided.

Discussion Of Ronald T. Kozlowski And Stuart B. Mathewson's "Measuring And Managing Catastrophe Risk", Rade T. Musulin

Journal of Actuarial Practice (1993–2006)

Mr. Kozlowski and Mr. Mathewson's paper provides a good introduction to the development and use of models in the property insurance industry. It will be a valuable addition to the regrettably sparse actuarialliterature in this area. This discussion will offer several comments on the ideas raised in the paper, focusing on how models can be used to enhance an actuary's work. The use of models has sparked major controversies between regulators and insurers in several jurisdictions, notably Florida. Controversy is not limited to the regulatory arena, however. Because models are being used by reinsurers to rate contracts and by A.M. …

Decision Making Under Conflicting Criteria In Pension Valuations: An Expected Utility Model, Lisa Lipowski Posey, Arnold F. Shapiro

Journal of Actuarial Practice (1993–2006)

Many of the criteria used by actuaries when selecting assumptions for pension plan valuations often conflict. As a result, actuaries must weigh the various costs and benefits associated with a particular set of assumptions. We use expected utility theory to model the process of chOOSing actuarial assumptions when faced with potentially conflicting criteria. The three criteria considered are prudence, best estimate, and conservatism. The actual contribution chosen by the actuary is found to depend on the contribution level that triggers a red flag with respect to tax deductibility. If this level is relatively low, the actuary chooses a high contribution …

Journal Of Actuarial Practice, Volume 3, No.2, 1995, Colin Ramsay , Editor

Journal of Actuarial Practice (1993–2006)

ARTICLES

Measuring and Managing Catastrophe Risk • Ronald T. Kozlowski and Stuart B. Mathewson

Discussion • Rade T. Musulin & Authors' Reply

Sensitivity Testing of Property/Casualty Cash Flows • Ralph S. Blanchard, III and Eduardo P. Marchen

A Pension Plan Incorporating Both Defined Benefit and Defined Contribution Principles • M. Zaki Khorasanee

Expected Loss Development in Workers' Compensation Pricing: A Shift in Credibility • Christopher J. Poteet

Editor - Colin Ramsay, University of Nebraska. Associate Editors: Robert Brown, University of Waterloo ○ Cecil Bykerk, Mutual of Omaha ○ Ruy Cardoso, Actuarial Frameworks ○ Samuel Cox, Georgia State University ○ David …

Discussion Of Leonard T. Guarini And Edward P. Lotkowski's "Model Year Rating For Automobile Liability And Injury Coverages", Mohammed Q. Ashab

Journal of Actuarial Practice (1993–2006)

No abstract provided.

Sensitivity Testing Of Prdperty/Casualty Cash Flows, Ralph S. Blanchard Iii, Eduardo P. Marchena

Journal of Actuarial Practice (1993–2006)

The paper outlines an approach that has evolved at Aetna through ten years of property/casualty insurance cash flow testing. Methodologies and approaches to setting parameters reflecting both default and call/prepayment risk are discussed for major invested asset categories. Modeling runoff cash flows for a base scenario (and, for some of these assets, shocked scenarios) also is examined for major non-invested asset categories. Loss reserve cash flow modeling is not addressed, except for a brief description of one approach to shocking projected flows. Finally, various alternatives are given for presenting cash flow testing results to management and non-actuarial audiences.

Surveillance Of Life Insurer Solvency: A Comparison Of Stock And The Multiple Scenario Cash Flow Financial Stress Tests, Ronald W. Spahr, Paul L. Gronewoller

Journal of Actuarial Practice (1993–2006)

The solvency of life insurance companies may be threatened by interest rate risk when the maturities of assets and liabilities are mismatched. The National Association of Insurance Commissioners' (NAIC) multiple scenario cashflow test (MSCFT) and the Office of Thrift Supervision (OTS) net portfolio value model (stock) approaches to financial stress tests are illustrated and analyzed with respect to their capacity to estimate the impact of potential changes in interest rates on life insurance company capital and surplus. Each approach is illustrated with the assets and liabilities of three hypothetical life insurance company capital levels (high, average, and below average) and …

Discussion Of Brian Jones' "Actuarial Conservatism: Not In Public Sector Defined Benefit Pension Plans", Richard Daskais

Journal of Actuarial Practice (1993–2006)

No abstract provided.

Hiv, Aids, Markov Processes, And Health And Disability Insurance, Steven Haberman

Journal of Actuarial Practice (1993–2006)

This paper presents a Markov model of the transmission and development of HIV and AIDS. The Markov model is used to derive functions needed in the calculation of disability insurance premiums, reserves, and cash flows. An application to health insurance and disability insurance is provided.

Life Insurer Risk-Based Capital: An Option Pricing Approach, Samuel H. Cox, Arthur M.B. Hogan

Journal of Actuarial Practice (1993–2006)

This paper uses an option pricing framework to estimate life insurer risk-based capital. Stock market data and statutory asset and liability data are used to calculate the implied level of statutory risk-based capital for each of 18 insurers. We calculate the level of risk-based capital required to avoid subsidy from the guaranty fund. Our results suggest that less capital is required than that required under the New York actuarial risk-based capital formula. Firm rankings, however, are similar under both methods, although the methods are not directly comparable. We also determine the level of capital required if the subsidy provided to …

Model Year Rating For Automobile Liability And Injury Coverages, Leonard T. Guarini, Edward P. Lotkowski

Journal of Actuarial Practice (1993–2006)

This paper is intended to stimulate further research and discussion on the validity and utility of model year rating for personal automobile coverages other than physical damage. Using data from a single insurer and some elementary statistical techniques, we provide evidence supporting model year as a classification variable for automobile liability and injury coverages.

Actuarial Conservatism: Not In Public Sector Defined Benefit Pension Plans, Brian A. Jones

Journal of Actuarial Practice (1993–2006)

Most actuaries tend to be conservative, and most, including this writer, probably would be happy to be so categorized. But actuarial conservatism may not be the best rule in defined benefit public sector pension plans. This paper argues that it is not appropriate for actuaries to employ conservatism assumptions in such public sector plans.

A Pension Plan Incorporating Both Defined Benefit And Defined Contribution Principles, Zaki M. Khorasanee

Journal of Actuarial Practice (1993–2006)

We propose a defined contribution pension plan with an explicitly defined benefit formula. Such a plan is expected to pay more stable and predictable benefits over time than one based on the money purchase principle. The properties of the plan are investigated through simulation. Methods for distributing surpluses and eliminating deficiencies that involve adjusting the rate of benefit accrual (rather than varying the rate of contribution) are discussed. The behavior of the plan under a scenario of persistently unfavorable investment experience is Simulated, and methods for satisfactorily dealing with such a scenario are considered. The plan actuary is expected to …

Measuring And Managing Catastrophe Risk, Ronald T. Kozlowski, Stuart B. Mathewson

Journal of Actuarial Practice (1993–2006)

We introduce some of the basic principles behind property catastrophe modeling via simulations. The output of such simulations can be explored via modernized pin maps and loss likelihood curves. We also briefly discuss some of the uses of catastrophe modeling in addition to traditional probable maximum loss estimation. Comments are made on the use of modeling by reinsurers. We hope that this article stimulates discussions on new approaches to catastrophe modeling.

Simulation Of Investment Returns For A Money Purchase Fund, Zaki M. Khorasanee

Journal of Actuarial Practice (1993–2006)

This paper examines the problem of investment risk in money purchase pension plans. The disadvantages of modeling equity returns as independent, identically distributed random variables are conSidered, and a modified stochastic model of equity returns is proposed. This modified stochastic model is used to estimate the variability in a plan member's retirement fund and to compare various alternatives to investing 100 percent of the assets in ordinary shares. Varying conclusions are drawn about the likely success of these alternative investment strategies in reducing investment risk.

Recent Canadian Human Rights Decisions Having An Impact On Gender-Based Risk Classification Systems, Robert L. Brown

Journal of Actuarial Practice (1993–2006)

With the passage of the Canadian Charter of Rights and Freedoms on April 17, 1982, all previous court precedents using gender in risk classification systems became obsolete. Three cases involving issues of discrimination in the use of age and gender now clarify the position of the Canadian judiciary. Based on the decisions in these three cases, this paper presents arguments that can be used in any jurisdiction to defend successfully the use of gender in a property /casualty risk classification system.

Discussion Of Robert L. Brown's "Recent Canadian Human Rights Decisions Having An Impact On Gender-Based Risk Classification Systems", Patrick Butler

Journal of Actuarial Practice (1993–2006)

This commentary examines the political and economic influence of demographic groups on rationales for granting exemption from laws prohibiting classification by age or sex, as evidenced in the cases discussed by Robert L. Brown. Age is less subject than sex to manipulation for group advantage. In Professor Brown's discussion of auto insurance cases, only the influence of group dominance can explain:

• Selective focus on young drivers;

• Indifference to ongoing overcharging of adult women signaled by undisputed 2:1 ratios of cost-related averages; and

• Avoidance of effective ways to evaluate miles of exposure to risk.

Contrary to Professor Brown's …

Obtaining A Life Table For Spinal Cord Injury Patients Using Information Theory, Patrick L. Brockett, Yun Song

Journal of Actuarial Practice (1993–2006)

We present a mortality table adjustment method based on a constrained information theoretic methodology. The objective is to adjust a standard mortality table to reflect a particular known characteristic of the population while remaining as close as possible to a given standard table. To illustrate these techniques, the medical results concerning survival of spinal cord injury patients are incorporated into a standard table to obtain a mortality table pertinent for paraplegic and quadriplegic individuals. The desired adjusted mortality table can be used by actuaries for special purposes such as wrongful injury damage award compensation calculations and determining life insurance premium …