Insurance Commons^™

Reconciling Two Rate Level Indications: A Chain Rule Approach, Cheng-Sheng Peter Wu

Journal of Actuarial Practice (1993–2006)

The problem considered is that of reconciling two rate level indications that are based on several common factors, but have been made at different review periods. A popular approach to this problem is the so-called sequential replacement method, which calculates the impact of each individual factor. Unfortunately, this method has a serious deficiency: the estimated impact of a factor depends upon the order of the replacement. To counteract this defect, a new approach, called the chain rule approach, is developed. Using this approach, an explicit formula is given for calculating the impact and the marginal impact of each factor.

Modal Premium Factors In Ordinary Life Insurance, James B. Ross, Criss G. Woodruff

Journal of Actuarial Practice (1993–2006)

For ordinary life policyholders who want to pay more frequently than annually, insurers construct schedules of modal premium factors that reflect additional charges for the costs of collection, forgone interest, and premiums uncollected or refunded in the year of death. Competition within the industry forces convergence of such schedules. On the other hand, if such factors for a given company reflect its own experience (in expense, interest, mortality, and persistency), the differences between companies will force schedules apart. Analysis of a large group of life insurers over the 1972-1982-1992 period shows that modal premium factors are dustered closely, that they …

Cost Containment In Workers' Compensation: Evaluating Medical Fee Schedules, David L. Durbin, Barry I. Llewellyn

Journal of Actuarial Practice (1993–2006)

Medical expenditures in workers' compensation programs have been subjected to few cost containment strategies. As workers' compensation costs have escalated, however, increasing attention is being given to the role of medical fee schedules in containing the prices of medical services. To this end, we develop a model for estimating the potential cost savings from implementing medical fee schedules. A market basket of medical services received by injured workers is constructed. This basket is used to estimate the parameters of the model. In addition, the basket is used to determine the impact of imposing a fee schedule linked to usual and …

Predicting Automobile Insurance Multi-Regional Base Pure Premiums, Edward Nissan, Iskandar S. Hamwi

Journal of Actuarial Practice (1993–2006)

Multi-regional insurance base premiums are customarily computed by a top-down method where national or state projections are adjusted to reflect regional differences. This paper proposes a methodology for a bottom-up projection. A weighing scheme that minimizes the variance of the estimator is suggested as a criterion to establish an overall multi-regional rate.

Modeling Insurance Cash Flows For Universal Life Policies, Robert E. Hoyt

Journal of Actuarial Practice (1993–2006)

This paper develops a methodology that can be used by insurers to construct predictive models for their own insurance cash flows. The insurance cash flow components evaluated include premium flows, policy loans, and cash value surrenders. Also, the paper evaluates several hypotheses in the insurance literature that attempt to explain insurance cash flows. Though the results are theoretically consistent, they produce some interesting contrasts to findings of similar studies for whole life policies. For example, these results confirm that: (i) the credited rate strategy is important to policy performance; (ii) the emergency fund hypothesis appears to apply to policy loan …

A Statistical Approach To Ibnr Reserves, Bradford S. Gile

Journal of Actuarial Practice (1993–2006)

This paper develops a three dimensional statistical approach to the estimation of the mean and the standard deviation of pure incurred but not reported (IBNR) reserves. This means that the time of occurrence, the reporting lag, and the claim severity are separately modeled. It is assumed that, beyond any fixed time t, the claim number development process is Poisson and that the severity of loss depends on the length of the reporting lag. Two key assumptions are made to simplify the estimation of model parameters: for a given reporting lag, (i) the conditional mean of the claim size is a …

Discussion Of Robert L. Brown's "Tax Assistance To Qualified Retirement Savings Plans: Deferral Or Waiver"*, Mark W. Campbell

Journal of Actuarial Practice (1993–2006)

In the paper entitled "Tax Assistance to Qualified Retirement Savings Plans: Deferral or Waiver," Robert L. Brown concludes that "the nontaxation of investment income on qualified funds until taken is a tax waiver or tax subsidy from the government to participants of qualified plans". I believe, however, that this conclusion is based on flawed assumptions pertaining to:

• The behavioral responses of taxpayers to the withdrawal of such tax assistance;

• The definition of an appropriate benchmark tax system against which to measure the cost of such tax assistance; and

• The appropriate basis of comparison of alternative government tax …

Disenrollment Patterns Of Elderly In Managed Care And Fee For Service, Kenneth G. Manton, Dennis H. Tolley, Robert Newcomer, James C. Vertrees, Charlene Harrington

Journal of Actuarial Practice (1993–2006)

As the trend to provide health care through managed care facilities increases, the need to examine ,vhy insured individuals voluntarily terminate managed care coverage grows. Voluntary termination of coverage, or dis enrollment, has both social and fiscal implications. Particularly among the elderly, patterns of disenrollment likely are related to self assessment of care needs and levels of health. In this paper we examine the patterns of dis enrollment among elderly enrollees as a function of health status and disability. We focus on disenrollment patterns from an experimental prepaid extended care facility, called a social HMO (S/HMO) and compare this pattern …

Journal Of Actuarial Practice, Volume 2, No. 1, 1994, Colin Ramsay , Editor

Journal of Actuarial Practice (1993–2006)

ARTICLES

Health Insurance Reform and its Effects on the Small Employer Market: A Review of H.R. 3626 • P. Anthony Hammond

An Introduction to Individual Disability Income Insurance • Mark J. Chartier

Cost Containment in Workers' Compensation: Evaluating Medical Fee Schedules • David L. Durbin and Barry I. Llewellyn

The Markov Chain Interest Rate Scenario Generator Revisited • Sarah L.M. Christiansen

Managing the Costs and Risks of Housing Finance: A New Role For Actuaries • Anthony Asher

Reconciling Two Rate Level Indications: A Chain Rule Approach • Cheng-Sheng Peter Wu

Tax Assistance to Qualified Retirement Savings Plans: Deferral or Waiver? …

No. 121 1993 April

International Journal for Business Education

SIEC Historical Documents

Journal Of Actuarial Practice, Volume 1, No. 2, 1993, Colin Ramsay , Editor

Journal of Actuarial Practice (1993–2006)

ARTICLES

Ethical Issues, Helps, and Challenges: Perceptions of U.S. Actuaries • Therese M. Vaughan, Robert W. Cooper, and Garry L. Frank

Managing the Relative Volumes of Participating and Nonparticipating Business in a Mutual Life Company • Robert G. Chadburn

A Critique of Defined Contribution Plans Using a Simulation Approach • David M. Knox

Discussion • Michael Sze & David M. Knox's Reply

The Definition of Insurance: Implications for a Health Insurance Demand Model • Mark J. Browne

Discussion • Charles S. Fuhrer & Mark J. Browne's Reply

On the Equivalence of the Loss Ratio and Pure Premium Methods of Determining …

Discussion Of David Knox's "A Critique Of Defined Contribution Plans Using A Simulation Approach", Michael Sze

Journal of Actuarial Practice (1993–2006)

No abstract provided.

Funding Methods And Pension Plan Amendments, Keith P. Sharp

Journal of Actuarial Practice (1993–2006)

This paper considers the treatment of plan amendments under the individual entry age normal and projected unit credit methods. Alternative treatments are considered, and comments are made about their acceptability.

The Small Plan Audit Program: The Opinions Of The Court, Arnold F. Shapiro

Journal of Actuarial Practice (1993–2006)

One of the most important issues of recent years from the perspective of many pension actuaries is the IRS's small plan audit program. The program initially was expected to raise two-thirds of a billion dollars by targeting well-funded defined benefit plans with five or fewer participants. The focus of the audit was the assumed interest rate and the normal retirement age, both of which the IRS generally regarded as too low. While the focus of the audit was relatively narrow, the issue it raised was a funda mental one. The basic question was the extent to which the IRS could …

Global Social Security: How The Rules Are Changing In Certain Countries, Robert J. Myers

Journal of Actuarial Practice (1993–2006)

Social security programs (i.e., national pension systems) differ widely between countries. This is only natural, and desirable, because of varying social and economic conditions and philosophies. This paper discusses some of the general worldwide trends, such as the equal treatment of men and women, increases in the normal retirement age, projection of future costs, and the different philosophies of social security. Some of the interesting and unique changes recently made in selected countries-Canada, Chile, Eastern European countries, Germany, Japan, People's Republic of China, Saudi Arabia, Union of Soviet Socialist Republics, United Kingdom, and United States-are described.

A Critique Of Defined Contribution Plans Using A Simulation Approach, David M. Knox

Journal of Actuarial Practice (1993–2006)

During the 1980s there was a trend in many countries away from defined benefit plans toward defined contribution plans. This development means that the individual member bears the full investment risk in the preretirement period and the annuity rate risk at retirement, as no pension benefit (expressed as a percentage of salary) is provided. This paper, through the use of a stochastic model for both inflation and a range of investment returns, analyses the distribution of retirement incomes that will be produced from a defined contribution plan. The impacts of changing entry and exit ages, different investment strategies, alternative career …

Discussion Of Mark J. Browne's "The Definition Of Insurance: Implications For A Health Insurance Demand Model", Charles Fuhrer

Journal of Actuarial Practice (1993–2006)

No abstract provided.

Estimating The Effect Of Statutory Changes On Insured Casualty Losses Using Generalized Indicator Variables, Ruy A. Cardoso

Journal of Actuarial Practice (1993–2006)

Techniques for estimating future insured losses in casualty insurance typically assume consistency in the insurance environment over time. Statutory changes, however, can create sharp discontinuities in the loss-generating process, complicating the estimation of those losses. Using indicator variables and dummy variables allows for quantification of the effect of such discontinuities. Three examples from private passenger automobile insurance are presented to illustrate how these variables can be used.

The Definition Of Insurance: Implications For A Health Insurance Demand Model, Mark J. Browne

Journal of Actuarial Practice (1993–2006)

This paper uses data from the 1977-78 National Medical Care Expenditures Survey to evaluate five different measures of insurance: a family's expected out-of-pocket payment for medical care, the expected value of the indemnity (fee-for-service) benefits from an insurance policy for a family, the percentage of the expected loss that the insured pays, the policy premium, and the policy limit of coverage. The study provides information that can help us understand whose insurance coverage will change significantly as a result of health care reform. For example, it shows that those with low income (such as minorities, families headed by females, and …

On The Equivalence Of The Loss Ratio And Pure Premium Methods Of Determining Property And Casualty Rating Relativities, Robert L. Brown

Journal of Actuarial Practice (1993–2006)

There are two distinct stages in the property and casualty ratemaking process. First, there is the portfolio average rate change. Second, there is the adjustment of classification relativities. It is well known that the loss ratio and pure premium (also called the loss cost) methods are algebraically equivalent in the stage called the portfolio average rate change. This paper reviews the proof of this equivalence. Further, it is proved algebraically that the loss ratio and pure premium methods are also equivalent in calculating classification relativities (or differentials) if certain data requirements can be met. A short numerical example of this …

The Process Of Pension Forecasting, Michael Sze

Journal of Actuarial Practice (1993–2006)

This paper explains the process of pension forecasting. It discusses the common purposes and uses of pension forecasts, the major steps involved, and the principal limitations of these forecasts. Some insights into each stage of the forecasting process are provided. Among the stages discussed are: the background research to be performed; the selection of scenario assumptions; shortcuts used in the actual performance of the forecast; review of the forecast results; and communication of the forecast findings.

Discussion Of Patrick Butler's "Cost-Based Pricing Of Individual Automobile Risk Transfer: Car-Mile Exposure Unit Analysis", Ruy A. Cardoso

Journal of Actuarial Practice (1993–2006)

No abstract provided.

Book Reviews, Hoque A. Sharif

Journal of Actuarial Practice (1993–2006)

No abstract provided.

A New Approach To Modeling Excess Mortality, Peter D. England, Steven Haberman

Journal of Actuarial Practice (1993–2006)

This paper describes a complete framework for the statistical modeling of excess mortality, with particular reference to the experience of insured, impaired lives. The principal measure of excess mortality considered is the standardized mortality ratio. The modeling approach, based on the theory of generalized linear models, allows us to build models containing several explanatory variables. The statistical significance of these variables can be tested, and the effect of interactions between the variables can be assessed rigorously. The paper uses data drawn from the extensive, continuing investigation into the mortality of insured, impaired lives conducted by the Prudential Assurance Company (UK). …

Group Insurance, Charles Fuhrer

Journal of Actuarial Practice (1993–2006)

No abstract provided.

On Becoming A Cost Effective Company, Robert D. Shapiro, Barton H. Clennon

Journal of Actuarial Practice (1993–2006)

The 1990s financial services environment requires each life company to identify its distinct capabilities and competitive strengths and to build its future direction from these features. This demands a fundamental rethinking of traditional approaches to planning, organization, and financial management.

Cost-Based Pricing Of Individual Automobile Risk Transfer: Car-Mile Exposure Unit Analysis, Patrick Butler

Journal of Actuarial Practice (1993–2006)

Every mile traveled by a car transfers risk to its insurer. This paper posits that the product of a cents-per-mile rate based on class experience and the miles recorded on the car's odometer appropriately earns prepaid premium while the car is driven. Operation of a practical car-mile system is described briefly. To test the competing idea that driver-record pricing responds to known large differences in risk transfer, a model used to validate claim free discounts is reexamined with the car-mile as the measure of individual cost. Driver-record pricing is found to inflate car-year price-to-cost differences. Consequences of accident rate variability …

Ethical Issues, Helps, And Challenges: Perceptions Of U.S. Actuaries, Therese M. Vaughan, Robert W. Cooper, Garry L. Frank

Journal of Actuarial Practice (1993–2006)

This paper reports the findings of a survey of Fellows of the Casualty Actuarial Society (FCAS) to determine their perceptions of the key ethical issues and dilemmas facing the industry today and the factors they view as most helpful and challenging in resolving these dilemmas. The responses are compared to a previous survey of Fellows of the Society of Actuaries (FSA). The study finds that FSAs and FCASs tend to rank key ethical issues similarly and that both groups of actuaries tend to look first to their own personal values, second to certain factors in their business environment, and last …

Managing The Relative Volumes Of Participating And Nonparticipating Business In A Mutual Life Company, Robert G. Chadburn

Journal of Actuarial Practice (1993–2006)

Management decisions of a mutual life company involving the amounts and relative proportions of participating (with profits) and nonparticipating (without profits) business and the level of expenses are examined in relation to their effect on participating policyholders' returns. A particular expense ratio is defined that plays a key role in a framework for making such decisions. The sensitivity of participating policy returns to changes in each factor are analyzed. Companies with expense ratios (as defined) of less than 2 are shown to prefer a different strategy from companies with higher ratios. There is an incomplete tendency for the ratio to …

Life Insurance Applications Of Recursive Formulas, Timothy L. Giles

Journal of Actuarial Practice (1993–2006)

This paper discusses several practical applications of recursive formulas:

a) Traditional whole life-As an introduction, the well-known relationship between successive terminal reserves is reviewed. Recursive formulas are developed to calculate the reserves and the premiums;

b) Universal life-Recursive formulas are used both for the calculation of target premiums and reserves. Consideration is given to the TEFRA corridor;

c) Paid-up rider-A participating single premium rider that provides a level death benefit can be devised using an inherent one year term benefit. Recursive functions are used to determine the premium that precisely matures the rider.

Because the APL programming language is particularly …