Management Sciences and Quantitative Methods Commons^™

The Impact Of Efficacy On Work Attitudes Across Cultures, Fred Luthans, Weichun Zhu, Bruce Avolio

Department of Management: Faculty Publications

To answer the call for more cross-cultural research, this study analyzed the efficacy and work attitudes of employee samples from the U.S. and Southeast Asia (Indonesia, Malaysia, and Thailand). The results showed that across these two samples, general efficacy had a significant positive relationship with organizational commitment and a significant negative relationship with intention to turnover. Further analysis also indicated that job satisfaction mediated the relationship between general efficacy and organizational commitment and intention to quit in the U.S. sample. The relationship between general efficacy and organizational commitment was stronger in the U.S. than in the three combined countries sampled …

Estimation Of Large Insurance Losses: A Case Study, Tine Buch-Kromann

Journal of Actuarial Practice (1993–2006)

This paper demonstrates an approach to analyzing liability data recently developed by a Danish insurance company. The approach is based on a Champernowne distribution, which is corrected with a non-parametric estimator. The correction estimator is obtained by transforming the data set with the estimated modified Champernowne cdf and then estimating the density of the transformed data set by using the classical kernel density estimator. Our approach is illustrated by applying it to an actual data set.

On Some Risk-Adjusted Tail-Based Premium Calculation Principles, Edward Furman, Zinoviy Landsman

Journal of Actuarial Practice (1993–2006)

This paper explores two tail-based premium calculation principles, the tail standard deviation (TSD) premium and the tail conditional expectation (TCE) premium, in their risk-adjusted and unadjusted forms. They are risk-adjusted using so-called distortion functions. We prove that the proportional hazard (PH) risk-adjusted TCE premium is larger than the unadjusted TCE premium. Additionally, given a risk distribution with location and scale parameters, we prove that the PH risk-adjusted TCE premium reduces to the unadjusted TSD premium.

Spatial Distribution Of Frequency And Severity Of Water Claims In California, Gurbhag Singh, Max Tang, Don Mcneill, Lyn Hunstad

Journal of Actuarial Practice (1993–2006)

We examine the frequency and severity of water loss claims for homeowners insurance across the state of California for the experience years 2000, 2001, and 2002. The spatial distribution patterns of frequencies and severities are mapped and analyzed at the zip code level. The maps reveal the pockets of high frequencies and severities. The information provided in this paper will assist actuaries and policy makers in their quest to set accurate rates for homeowners insurance.

Bayesian Analysis Of Insurance Losses Using The Buhlmann-Straub Credibility Model, Abraham J. Van Der Merwe, Kobus N. Bekker

Journal of Actuarial Practice (1993–2006)

We propose a Bayesian analysis to develop credibility estimates of the well known Biihlmann-Straub model. We describe simple numerical methods to obtain exact posterior distributions and predictive densities under this model. These distributions are obtained through Monte Carlo simulations that generate independent samples from the joint posterior distribution. Our methods are therefore preferable to methods such as Gibbs sampling, which generates dependent samples from the joint distribution. The methods discussed also can be extended to more complicated credibility models.

Analysis Of An Insurance Risk Model With Thinning Dependence And Common Shock, Lai Mei Wan, Kam Chuen Yuen, Wai Keung Li

Journal of Actuarial Practice (1993–2006)

We consider a continuous-time insurance risk model with m dependent classes of business with dependent claim number processes due to thinning dependence and a common shock. The impact of the dependence is studied via the adjustment coefficient. The case m = 2 is investigated analytically for exponential claim distributions and via simulation for non-exponential claim distributions.

The Importance Of Vertical And Shared Leadership Within New Venture Top Management Teams: Implications For The Performance Of Startups, Michael D. Ensley, Keith M. Hmieleski, Craig L. Pearce

Department of Management: Faculty Publications

The current study investigated the relative influence of vertical versus shared leadership within new venture top management teams on the performance of startups using two different samples. Vertical leadership stems from an appointed or formal leader of a team (e.g., the CEO), whereas shared leadership is a form of distributed leadership stemming from within a team. Transformational, transactional, empowering, and directive dimensions of both vertical and shared leadership were examined. New venture performance was considered in terms of revenue growth and employee growth. The first sample was comprised of 66 top management teams of firms drawn from Inc. Magazine’s …

Virtuous Leadership: A Theoretical Model And Research Agenda, Craig L. Pearce, David A. Waldman, Mihaly Csikszentmihalyi

Department of Management: Faculty Publications

In this manuscript we attempt to shed light on the concept of virtuous leadership. We first attempt to identify the nature of virtuous leadership. Next, we specify two potential antecedents of virtuous vertical leadership. Specifically, we identify the personal characteristic of responsibility disposition as well as environmental cues as potential predictors of subsequent virtuous leadership. Moreover. we articulate how virtuous vertical leadership might result in virtuous shared leadership. We also demonstrate how both vertical and shared virtuous leadership can act as key factors in the creation of organizational learning. Importantly. we specify several important research implications of our theoretical model. …

Potential Added Value Of Psychological Capital In Predicting Work Attitudes, Milan Larson, Fred Luthans

Department of Management: Faculty Publications

Meeting the challenge of effectively managing human resources requires new thinking and approaches. To extend the traditional perspective of economic capital, increasing recognition is being given to human capital and more recently social capital, this article proposes and empirically tests the potential added value that psychological capital may have for employee attitudes of satisfaction and commitment. After first providing the background and theory of PsyCap, this article reports a study of manufacturing employees (N = 74) that found a significant relationship between PsyCap and job satisfaction (r=.373) and organization commitment (r=.313). Importantly, the employees’ PsyCap had a significant added impact …

Developing The Psychological Capital Of Resiliency, Fred Luthans, Gretchen R Vogelgesang, Paul B. Lester

Department of Management: Faculty Publications

In these turbulent times, we propose the importance of developing the psychological capital dimension of resiliency. After providing the theoretical background and meaning of psychological capital in general and resiliency in particular, the authors present proactive and reactive human resource development (HRD) strategies for its development. The proactive HRD includes increasing psychological assets, decreasing risk factors, and facilitating processes that allow human resources to enhance their resilience. The reactive HRD largely draws from a broaden-and-build model of positive emotions and self-enhancement, external attribution, and hardiness. The article includes specific guidelines for HRD applications and an agenda for future needed research.

Nurturing The Spirit At Work: Impact On Work Unit Performance, Dennis Duchon, Donde Ashmos Plowman

Department of Management: Faculty Publications

Workplace spirituality is defined as a workplace that recognizes that employees have an inner life that nourishes and is nourished by meaningful work that takes place in the context of community. This definition, based on three fundamental spiritual needs, has implications for how leaders can enhance work unit performance by nurturing the spirit at work. In an exploratory study of six work units in a large hospital system we used an instrument that measures workplace spirituality. The results led to propositions concerning the effect of work unit spirituality on work unit performance and the relationship between work unit spirituality and …

The Tale Of Two Cultures: Attitudes Towards Affirmative Action In The United States And India, Gwendolyn Combs, Sucheta Nadkarni

Department of Management: Faculty Publications

This study seeks to inform multinational corporations as they integrate domestic and international affirmative action policies and strategies. Improvement of these abilities can have important implications for human resource management and organizational productivity outcomes. To increase our understanding of the international perspectives of affirmative action, we examine employee perceptions of the structure of affirmative action plans in the United States and India. The differences in affirmative action plans implemented in these countries as well as country cultural differences offer interesting backdrops for examining cross-country differences in employee perceptions of affirmative action.

Revisiting Brown V. Board Of Education: A Cultural, Historical-Legal, And Political Perspective, Michael W. Combs, Gwendolyn Combs

Department of Management: Faculty Publications

This Article explores how Brown v. Board of Education and subsequent Court decisions have impacted the structure of society and racial cultural tradition of America. Brown ranks among the first instances in which a modern American institution actually tackled the cultural basis of racism and discrimination. More directly, during oral arguments to consider the separate but equal doctrine of Plessy v. Ferguson, the Justices seemed to have understood the political and cultural importance of possibly overturning the doctrine that shaped race relations for more than fifty years. The Warren Court’s strategy to treat severally the constitutional pronouncement and the remedial …

Implementing Affirmative Action Plans In Multinational Corporations, Gwendolyn Combs, Sucheta Nadkarni, Michael W. Combs

Department of Management: Faculty Publications

Diversity is rapidly becoming an imperative business strategy in the global economy. Affirmative action is central to promoting a positive diversity climate. However, cultural, social, and legal differences around the world pose major challenges to multinational corporations (MNCs) in developing successful affirmative action plans (AAPs) at the global level. We present a model for global affirmative action plans that first identifies and examines the major environmental challenges faced by MNCs in implementing global affirmative action practices, as well as suggestions to combat these challenges. Second, the model delineates global affirmative action practices that rest on two building blocks—differentiation and integration. …

Modeling Clusters Of Extreme Losses, Beatriz Vaz De Melo Mendes, Juliana Sa Freire De Lima

Journal of Actuarial Practice (1993–2006)

We model extreme losses from an excess of loss reinsurance contract under the assumption of the existence of a subordinated process generating sequences of large claims. We characterize clusters of extreme losses and aggregate the excess losses within clusters. The number of clusters is modeled using the usual discrete probability models, and the severity of the sum of excesses within clusters is modeled using a flexible extension of the generalized Pareto distribution. We illustrate the methodology using a Danish fire insurance claims data set. Maximum likelihood point estimates and bootstrap confidence intervals are obtained for the parameters and statistical premium. …

A Primer On Duration, Convexity, And Immunization, Leslaw Gajek, Krzysztof Ostaszewski, Hans-Joachim Zwiesler

Journal of Actuarial Practice (1993–2006)

The concepts of duration, convexity, and immunization are fundamental tools of asset-liability management. This paper provides a theoretical and practical overview of the concepts, largely missing in the existing literature on the subject, and fills some holes in the body of research on the subject. We not present new research, but rather we provide a new presentation of the underlying theory, which we believe to be of value in the new North American actuarial education system.

Optimal Dividend Strategies: Some Economic Interpretations For The Constant Barrier Case, Maite Marmol, M. Merce Claramunt, Antonio Alegre

Journal of Actuarial Practice (1993–2006)

We consider the surplus process of a non-life insurance portfolio with a dividend component represented by a constant dividend barrier strategy. The optimal dividend barrier is known when individual claim amounts follow an exponential distribution. This result for the optimal dividend barrier is used to develop combinations of the levels of the insurer's initial surplus and of the barrier which, under certain economic and financial criteria, can be regarded as optimal.

Risk-Based Regulatory Capital For Insurers: A Case Study, Christian Sutherland-Wong, Michael Sherris

Journal of Actuarial Practice (1993–2006)

We study the issues in determining regulatory capital requirements using advanced modeling by assessing and comparing capital requirements under the two alternative approaches. A dynamic financial analysis (DFA) model is used for this case study. These issues are of current international interest as regulators, insurers, and actuaries face the significant issues involved with the introduction of risk-based capital for insurers.

Reputation Pricing: A Model For Valuing Future Life Insurance Policies, Rami Yosef

Journal of Actuarial Practice (1993–2006)

The reputation of a life insurer is used to develop a model for determining the value of future life insurance policies. An M / G / 00 process is used to describe the sales and terminations (due to death or maturity) of future policies. The intensity of the arrival process is assumed to depend on the company's reputation. Explicit expressions are derived for the actuarial reserves and expected profits of these future policies.

Journal Of Actuarial Practice - Volume 12 (2005) - Contents And Masthead

Journal of Actuarial Practice (1993–2006)

Contents

Editorial Policy: Topics suitable for this journal include AIDS, annuity products, asset-liability matching, cash-flow testing, casualty rate making, credibility theory, credit insurance, disability insurance, expense analysis, experience studies, FASB issues, financial reporting, group insurance, health insurance, individual risk taking, insurance regulations, international issues, investments, liability insurance, loss reserves, marketing, pensions, pricing issues, product development, reinsurance, reserving issues, risk-based capital, risk theory, social insurance, solvency issues, taxation, valuation issues, and workers' compensation

Review Process

Editor - Colin Ramsay, University of Nebraska

Associate Editors: Robert Brown, University of Waterloo ○ Cecil Bykerk, Mutual of Omaha ○ Ruy Cardoso, Actuarial Frameworks ○ …

An Application Of Control Theory To The Individual Aggregate Cost Method, Alexandros A. Zimbidis, Steven Haberman

Journal of Actuarial Practice (1993–2006)

The paper investigates the individual aggregate cost method (also known as the individual spread-gain method), which is normally applicable in small pension funds or fully contributory schemes, using a control theoretical framework. We construct the difference equations describing the mechanisms of the respective funding method and then calculate the optimal control path of the contribution rate assuming (first) a stochastic and (second) a deterministic pattern for the future investment rates of return. For the first case, the optimal solution is achieved through a linear approximation and using stochastic optimization techniques. It is proved that the contribution rate is (optimally) controlled …

A Modern Approach To Modeling Insurances On Two Lives, Maria Bilikova, Graham Luffrum

Journal of Actuarial Practice (1993–2006)

The analysis of life insurance contracts on two lives using the traditional deterministic approach has been an important part of actuarial education for the past fifty years or more. Recently there has been a shift from this deterministic approach to one using a more modern stochastic approach involving the future lifetime random variable. In this paper we will look at the problem using multiple-state models. In our view this approach allows a deeper analysis than either the traditional or the random future lifetime ones.

Ultimate Ruin Probability For A Time-Series Risk Model With Dependent Classes Of Insurance Business, Lai Mei Wan, Kam Chuen Yuen, Wai Keung Li

Journal of Actuarial Practice (1993–2006)

We consider a discrete-time risk model with m (m ~ 2) dependent classes of insurance business. The claim processes of these m classes are assumed to follow a multivariate autoregressive time-series model of order 1. Given this claims model, we explore the probability of ultimate ruin assuming exponentially bounded claims. As an example, we use simulations to study the case where there are two business and the underlying losses are of two types: bivariate exponential and bivariate gamma claim distributions.

Journal Of Actuarial Practice, Volume 12, 2005, Colin Ramsay , Editor

Journal of Actuarial Practice (1993–2006)

ARTICLES

Risk-Based Regulatory Capital for Insurers: A Case Study • Christian Sutherland-Wong and Michael Sherris 5

A New Hybrid Defined Benefit Plan Design • Wayne E. Dydo . 47

A Primer on Duration, Convexity, and Immunization • Leslaw Gajek, Krzysztof Ostaszewski, and Hans-Joachim Zwiesler 59

Modeling Clusters of Extreme Losses • Beatriz Vaz de Melo Mendes and Juliana Sa Freire de Lima 83

Modeling Insurance Loss Data: The Log-EIG Distribution • Uditha Balasooriya, Chan Kee Low, and Adrian Y W Wong 101

A Modern Approach to Modeling Insurances on Two Lives • Maria Bilikova and Graham Luffrum 127

On the …

The New Silver Bullets Of Leadership: The Importance Of Self- And Shared Leadership In Knowledge Work, Craig L. Pearce, Charles C. Manz

Department of Management: Faculty Publications

How are the capabilities of knowledge workers best harnessed? Traditionally, organizations have focused on a top-heavy, heroic model of leadership in order to extract work-product from their employees. We believe this model is a myth. It is becoming ever more difficult for any one person to be an expert on all aspects of the work that needs to be done, and this is true in a wide variety of contexts ranging from the research and development (R&D) lab to the executive suite. Recent research indicates that two alternative sources of leadership—self leadership and shared leadership—hold considerable promise for enhancing the …

The Psychological Capital Of Chinese Workers: Exploring The Relationship With Performance, Fred Luthans, Bruce Avolio, Fred Walumbwa, Weixing Li

Department of Management: Faculty Publications

Everyone knows about China’s huge population and the fast-growing economy. Although macro-level sociological and economic analyses have given some attention to the linkage between the two, at the micro level, the relationship between human resources and, more specifically, psychological capital of Chinese workers and their performance has been largely ignored. Within the context of three factories (two private and one state-owned) in the People’s Republic of China, this exploratory study examined the relationship of a sample (n=422) of Chinese workers’ positive psychological capital states and their performance. Results indicated the workers’ positive states of hope, optimism, and resiliency, separately and …

Modeling Insurance Loss Data: The Log-Eig Distribution, Uditha Balasooriya, Chan Kee Low, Adrian Y.W. Wong

Journal of Actuarial Practice (1993–2006)

The log-EIG distribution was recently introduced to the probability literature. It has positive support and a moderately long tail, and is closer to the lognormal than to the gamma or Weibull distributions. Our simulations show that data generated from a log-EIG distribution cannot be adequately described by lognormal, gamma, or Weibull distributions. The log-EIG distribution is a worthwhile candidate for modeling insurance claims (loss) data or lifetime data. Examples of fitting the log-EIG to published insurance claims data are given.

A New Hybrid Defined Benefit Plan Design, Wayne E. Dydo

Journal of Actuarial Practice (1993–2006)

Traditional defined benefit plans can be difficult to understand and complex to administer. Hybrid plans (cash balance and pension equity) arose in part to address the former issue, but at a price of greater administrative and litigation risk. I introduce a design for defined benefit pension plans that is easy to communicate to participants, allows for accrual patterns that closely replicate those of the two most common forms of hybrid pension plans, and avoids the controversial nondiscrimination issues that currently trouble sponsors of hybrid plans. The design defines the benefit as a fixed percentage of pay payable over a period …

On The Pricing Of Top And Drop Excess Of Loss Covers, Jean-Francois Walhin, Michel Denuit

Journal of Actuarial Practice (1993–2006)

A top and drop cover is a treaty that can be found on the retrocession market. It offers capacity that can be used either to protect a top layer or a working layer. The former is called a "top" and the latter is called a "drop." Using the traditional collective risk model, we demonstrate the use of a multivariate version of Panjer's algorithm to price this cover. We also compare the premium obtained within the exact model with the premiums obtained either with the Frechet bounds or with the wrong assumption of independence.

“Can You See The Real Me?” A Self-Based Model Of Authentic Leader And Follower Development, William L. Gardner, Bruce J. Avolio, Fred Luthans, Douglas R. May, Fred Walumbwa

Department of Management: Faculty Publications

To address present and future leadership needs, a model of authentic leader and follower development is proposed and examined with respect to its relationship to veritable, sustainable follower performance. The developmental processes of leader and follower self-awareness and self-regulation are emphasized. The influence of the leader’s and followers’ personal histories and trigger events are considered as antecedents of authentic leadership and followership, as well as the reciprocal effects with an inclusive, ethical, caring and strength-based organizational climate. Positive modeling is viewed as a primary means whereby leaders develop authentic followers. Posited outcomes of authentic leader–follower relationships include heightened levels of …