Business Commons^™

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.

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 …

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.

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.

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 …

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 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 …

A System Dynamics Approach To Assessing Public Policy Impact On The Sustainable Growth Rate Of New Ventures, Jeff W. Trailer, Kuau Garsson

New England Journal of Entrepreneurship

The growth of firms is fundamentally based on self-reinforcing feedback loops, one of the most important of which involves cash flow. When profit margin is positive, sales generate cash, which may then be reinvested to finance the operating cash cycle. We analyze simulations of a sustainable growth model of a generic new venture to assess the importance of taxes, and regulatory costs in determining growth. The results suggest that new ventures are particularly vulnerable to public policy effects, since their working capital resource levels are minimal, and they have few options to raise external funds necessary to fuel their initial …

Herzberg's Two-Factor Theory Of Motivation Applied To The Motivational Techniques Within Financial Institutions, Shannon Riley

Senior Honors Theses and Projects

Throughout time, many have attempted to develop detailed theories and studies of motivation, satisfaction, and self-awareness. Each of those theories at some point has been applied and tested as to its effects on people’s lives, jobs, and personal goals in life and in the work place. Due to my strong interest in the management fields specifically, I have decided to look into the different styles of motivation that managers and leaders of organizations within the financial industry typically use. After all, it has been said that one of the manager’s most basic tasks is to communicate with and motivate their …

Adjusting The Inventory Account When Companies Use Lifo: Explanation And Application To Distribution And Chemical Industries, James F. Sander, Susan Hughes

Scholarship and Professional Work - Business

It is widely understood that a disadvantage of LIFO is that it assigns the oldest inventory costs to the inventory account, which, when prices are changing, can result in an inventory value that is useless as a measure of current value. FIFO, however, avoids this disadvantage by assigning the most current costs to inventory.

The purpose of this article is to explain a simple adjustment that restates LIFO inventory to the more current cost based FIFO value and analyze effects of this adjustment. We begin by demonstrating the LIFO adjustment and explaining its effect on one company. This is followed …

Performance Measurement In Irish Credit Unions: An Evaluation Of Pearls, Ruth Vance

Theses

In recent years, the appropriateness of the measures used in performance measurement systems is one of the areas within Management Accounting that attracts significant interest. Even though a lot has been written on the advances in measurement systems in for-profit organisations there is a lack of literature on performance measurement systems in not-for-profit organisations. This dissertation describes and evaluates the performance measurement system used by credit unions in Ireland.

A literature review on performance measurement identifies the criteria that a performance measurement system needs in order to be effective: namely it should be linked to the organisation’s strategic objectives, reflect …

An Empirical Review Of Us Corporate Default Swap Valuation: The Implications Of Functional Forms, Kwamie Dunbar

WCBT Faculty Publications

This paper first develops a reduced form three-factor model for valuing credit default premia that is used to provide implicit prices which are then compared with market prices of credit default swaps to determine if swap rates adequately reflects market risks. This model extends Jarrow (2001) two-factor model by adding three new features to enhance the effectiveness of the model and add to the growing debate on the empirical pricing of credit default swap and the effectiveness of reduce form models. Firstly, the extended model retains Jarrow's mean reverting properties but will be extended to be arbitrage free because of …

Public Authorities And Determinants Of Aggregate Debt: Kentucky's Municipal Governments, Derek J. Bridges

MPA/MPP/MPFM Capstone Projects

Special purpose entities, or Public Authorities, constitute a substantial portion of the public sector. In Kentucky, these entities provide large percentages of the services offered by state and local governments, employ thousands, have immense budgets, and issue large quantities of debt. It is this debt issuance that may be of concern to public administrators.

The purpose of this study was to examine the numbers and types of Authorities operating in a selection of Kentucky municipalities and how these Authorities, combined with other possible determinants, affect the levels of aggregate debt in the jurisdictions. A combination of analytical methods demonstrated that …

Ceo Succession Processes And Agency Costs, Zeynep Ayca Altintig

LSU Doctoral Dissertations

In the 'passing the baton' succession process, the incumbent CEO/Chairman relinquishes the CEO title, but retains the Chairman title to facilitate monitoring the new CEO during a probationary period. The new CEO eventually wins the Chairman title if he is successful during the probationary period. We argue that this type of succession process can lead to managerial conformism and conservatism because reputation concerns give the retiring CEO incentives to pressure the new CEO to continue existing policies and to avoid making major changes that could substantially improve performance or increase firm value. Consistent with this hypothesis, we find no changes …

Internal Capital Markets And Bank Relationship - Evidence From Japanese Corporate Spin-Offs.Internal Capital Markets, Investment, Seung Han

Electronic Theses and Dissertations

This dissertation consists of two studies related to internal capital markets and bank relationship using Japanese corporate spin-offs. The first study analyzes the relation between internal capital markets and banks by examining 137 Japanese corporate spin-offs created between the years 2001 and 2003 (since the establishment of new spin-offs law in 2001). In a univariate analysis, we find significant positive average cumulative abnormal returns around the announcements, market-adjusted excess returns after the spin-offs, an increase of the Herfindahl index, and a reduction in the diversification discount after the spin-offs. In a cross-sectional analysis, we find that bank-related governance variables such …

Are Empowerment And Education Enough? Underdiversification In 401(K) Plans, James J. Choi, David Laibson, Brigitte C. Madrian

Faculty Publications

At the end of 2000, current and former employees of the energy trading company Enron Corporation held $2.1 billion in the firm’s 401(k) retirement savings plan. Sixty-two percent of that money was invested in Enron stock, then trading at $83 a share. In October 2001 Enron’s finances began to unravel as its accounting improprieties came to light. Enron stock plummeted over the next several weeks, and on December 2, 2001, the company declared bankruptcy, rendering its shares worthless. Thousands of Enron employees lost their jobs and a large fraction of their retirement wealth simultaneously.

Property Taxation Of Multifamily Housing: An Empirical Analysis Of Vertical And Horizontal Equity, Gary C. Cornia, Barrett A. Slade

Faculty Publications

This paper analyzes the uniformity of the property appraisal outcome for multifamily apartment complexes in Phoenix, Arizona. Specifically, it investigates vertical and horizontal equity and equity across assessment methods. Apartment transactions and assessed valuations are examined over a fiveyear period (1998–2002). Once possible bias in model specification is accounted for, no evidence of vertical inequity in the sample is found. However, there is modest evidence of horizontal inequity: the results suggest that complex size and geographic location are more difficult for the assessor to value uniformly. There is also inequity between small and large properties, as represented by two different …

Gross Margins Guide 2005 Western Australia, Allan Herbert

Farm Systems and Economics published reports

The Western Australian Department of Agriculture has prepared this 2005 booklet with the following aim:

To provide budgeting information for farmers, agribusiness, and other students of agriculture to enhance understanding and more informed decision making.

It builds on a previous similar booklet - "Gross Margins Guide 2003" - which was produced in 2002 with Commonwealth Bank sponsorship. 2,500 copies of that booklet were produced and gained wide readership. Gross margins for broad area agriculture had not been published by the Department for the previous 1 O years. Feedback and further requests suggested that an update was necessary - hence this …

Additions To Corporate Boards: The Effect Of Gender, Kathleen A. Farrell, Philip L. Hersch

Department of Finance: Faculty Publications

During the decade of the 1990s the number of women serving on corporate boards increased substantially. Over this decade, we show that the likelihood of a firm adding a woman to its board in a given year is negatively affected by the number of woman already on the board. The probability of adding a woman is materially increased when a female director departs the board. Adding a director, therefore, is clearly not gender neutral. Although we find that women tend to serve on better performing firms, we also document insignificant abnormal returns on the announcement of a woman added to …

The Effects Of Sfas 131 Geographic Segment Disclosures On The Valuation Of Foreign Earnings, Ole-Kristian Hope, Tony Kang, Wayne Thomas, Florin Vasvari

Research Collection School Of Accountancy

Foreign operations are becoming increasingly important for U.S. companies. We investigate whether the market’s valuation of foreign earnings is a function of the firm’s geographic segment disclosures. Specifically, we examine the effects of an increase in the number of geographic segments disclosed and the inclusion of earnings measures in geographic segment disclosures following the adoption of SFAS 131. We find strong evidence that our proxies for increased disclosure are positively associated with the valuation of foreign earnings. Our results are robust to a number of sensitivity analyses. Taken together, our results suggest that the pricing of foreign earnings is associated …

To Judge Leviathan: Sovereign Credit Ratings, National Law, And The World Economy, Christopher Bruner, Rawi Abdelal

Scholarly Works

Recent decades have witnessed the remarkable rise of a kind of market authority almost as centralized as the state itself – two credit rating agencies, Moody’s and Standard & Poor’s. These agencies derive their influence from two sources. The first is the information content of their ratings. The second is both more profound and vastly more problematic: Ratings are incorporated into financial regulations in the United States and around the world. In this article we clarify the role of credit rating agencies in global capital markets, describe the host of problems that arise when their ratings are given the force …

Perceptions Of The Teacher–Leader In Modern Society: Insights From The Master Teacher’S Pedagogy, Stanley E. Fawcett, James C. Brau, Amydee M. Fawcett

Faculty Publications

Meeting the challenges of a modern era, including corporate scandal, government gridlock, and societal turmoil, requires a high level of effective leadership. In such an environment, the teacher–leader plays a critical role in cultivating the knowledge worker and learning organization. After all, the teacher–leader leverages the human resource by challenging and inspiring people to bring forth their best efforts and ideas in the quest to identify and implement creative solutions to society’s dilemmas. To understand the opportunities and challenges encountered in the teacher–leader paradigm, the pedagogy of a prototypical teacher was modeled and evaluated. As the ideal model of the …

Equilibrium Underdiversification And The Preference For Skewness, Todd Mitton, Keith Vorkink

Faculty Publications

We develop a one-period model of investor asset holdings where investors have heterogeneous preference for skewness. Introducing heterogeneous preference for skewness allows the model's investors, in equilibrium, to underdiversify. We find suppport for our model's three key implications using a dataset of 60,000 individual investor accounts. First, we document that the portfolio returns of underdiversified investors are substantially more positively skewed than those of diversified investors. Second, we show that the apparent mean-variance inefficiency of underdiversified investors can be largely explained by the fact that investors sacrifice mean-variance efficiency for higher skewness exposure. Furthermore, contrary to the asset-pricing predictions of …

Stock Market Liberalization And Operating Performance At The Firm Level, Todd Mitton

Faculty Publications

I use firm-specific measures of openness to foreign investors to study the impact of stock market liberalization on firm-level operating performance. In a sample of over 1,100 firms from 28 countries, firms with stocks that are open to foreign investors experience higher growth, greater investment, greater profitability, greater efficiency, and lower leverage. Strategies to address potential endogeneity suggest that the observed relationship, at least in part, reflects a causal effect of openness on operating performance.