The purpose of this research was to examine the United States population of plans with over 100 participants to determine the extent of the reaction away from defined benefit plans resulting from the 1986 and 1987 legislation.

This thesis examines stabilizing mechanisms in social security retirement systems (“SSRS”), especially those purporting to be automatic balancing mechanisms (“ABM”). It develops a consistent approach to identifying whether an ABM is robust, partial or transitory and establishes a terminology to classify balancing mechanisms. Both financial and equitable balances are considered in assessing whether an ABM achieves balance. Families of definitions of equity are presented and a benchmark by which to measure equitable balance is defined and applied. The balancing mechanisms of Canada, Germany, Japan and Sweden are described, evaluated and classified. None of these mechanisms are found to be robust. This thesis provides a critical analysis of an approach referred to as integration to financial markets and the approach is found to be deficient. In analyzing the Swedish SSRS a critical error in the way assets are calculated is identified and a suitable correction is proposed. A further weakness in the application of the Swedish ABM is identified that means that once an imbalance occurs, balance is unlikely to be restored. The thesis also discusses some of the unusual characteristics of the steady-state contribution rate calculation for the Canadian SSRS and shows that although it has limited application and does not appear to depend on any actuarial principle, the steady-state contribution rate calculation creates a tension between the near and distant future, which is a factor in achieving financial balance over a seventy-five year horizon. With respect to the balancing mechanism in the Canadian SSRS, the thesis proposes a change in how the mechanism is defined so that the mechanism would be robust, within certain ranges.

This thesis examines stabilizing mechanisms in social security retirement systems (“SSRS”), especially those purporting to be automatic balancing mechanisms (“ABM”). It develops a consistent approach to identifying whether an ABM is robust, partial or transitory and establishes a terminology to classify balancing mechanisms. Both financial and equitable balances are considered in assessing whether an ABM achieves balance. Families of definitions of equity are presented and a benchmark by which to measure equitable balance is defined and applied. The balancing mechanisms of Canada, Germany, Japan and Sweden are described, evaluated and classified. None of these mechanisms are found to be robust. This thesis provides a critical analysis of an approach referred to as integration to financial markets and the approach is found to be deficient. In analyzing the Swedish SSRS a critical error in the way assets are calculated is identified and a suitable correction is proposed. A further weakness in the application of the Swedish ABM is identified that means that once an imbalance occurs, balance is unlikely to be restored. The thesis also discusses some of the unusual characteristics of the steady-state contribution rate calculation for the Canadian SSRS and shows that although it has limited application and does not appear to depend on any actuarial principle, the steady-state contribution rate calculation creates a tension between the near and distant future, which is a factor in achieving financial balance over a seventy-five year horizon. With respect to the balancing mechanism in the Canadian SSRS, the thesis proposes a change in how the mechanism is defined so that the mechanism would be robust, within certain ranges.

<p>Pension fund companies manage and invest large amounts of money on behalf of their members. In return for their contributions, members expect a benefit at termination of their contract. Due to the volatile nature of returns that pension funds attain, pension companies started attaching a minimum guaranteed amount to member&rsquo / s benefits. In this mini-thesis we look at the pioneering work of Brennan and Schwartz [10] for pricing these minimum guarantees. The model they developed prices these minimum guarantees using option pricing theory. We also look at the model proposed by Deelstra et al. which prices minimum guarantees in a stochastic financial setting. We conclude this mini-thesis with new contributions where we look at simple alternative ways of pricing minimum guarantees. We conclude this mini-thesis with an approach, related to the work of Brennan and Schwartz [10], whereby the member&rsquo / s benefit is maximised for a given minimum guaranteed amount, which comprises of multi-period guarantees. We formulate a method to find the optimal stream of these multi-period guarantees.</p>

L’augmentation de l’espérance de vie affecte les régimes de retraites français, fondés sur la répartition et la solidarité intergénérationnelle. Pour soutenir ce premier pilier de retraite, composé, pour un salarié du secteur privé, des régimes de base de la Sécurité sociale et des régimes complémentaires rendus légalement obligatoires de l’ARRCO et de l’AGIRC (pour les seuls salariés cadres), le recours à un deuxième pilier de retraite s’avère nécessaire. Fondé sur une gestion par capitalisation, ce pilier prend vie dans le cadre de l’entreprise. L’employeur décide de la portée de l’engagement souscrit à l’égard de son salarié : le versement d’une cotisation définie au cours de sa carrière ou celui d’une prestation viagère pendant sa retraite dont le montant est déterminé à l’avance. Si la création de régimes de retraite professionnelle relève de la liberté des entreprises, le législateur oriente leur action à travers un régime social et fiscal de faveur. Enfin, les régimes de retraite professionnelle entrent dans le champ du droit de la concurrence en vue de créer, au niveau européen, un marché unique des retraites professionnelles. Les retraites professionnelles se situent au carrefour de nombreux droits. Normes travaillistes, assurantielles, fiscales, commerciales, trouvent à s’appliquer aux côtés des dispositions des Codes de la sécurité sociale et de la mutualité. De leur articulation naissent des conflits. Leur résolution est la condition nécessaire à la création d’un cadre juridique propice au développement des retraites professionnelles. / The increase in life expectancy affects the French pension schemes, founded on principles of distribution and solidarity between generations. In order to support this first pillar of the retirement system, consisting both in a core Social Security program for employees in the private sector and in the legally mandatory supplementary schemes of ARRCO and AGIRC (only for executive-level employees), it has become necessary to turn to a second pillar. Based on management by capitalization, it becomes effective in the business framework. The employer determines the scope of the undertaking signed in favor of his employee: either the payment of a levy defined during the employee’s career or the payment of a lifetime benefit during his retirement, whose amount is determined in advance. While the creation of occupational pension schemes is up to the businesses, the legislature orients their initiatives towards a favorable social and fiscal scheme. Finally, occupational pension schemes are subject to competition law in order to create, at the European level, a unique market for occupational pension schemes. These schemes are at the crossroads of numerous branches of law. Labor law, insurance law, taw law, and commercial law are applicable along with the French “Code de la sécurité sociale” and the French “Code de la mutualité”. Conflicts stem from the linkage between all of these laws. Their resolution is the sine qua non condition to create a legal framework enabling occupational pension schemes to evolve.

Due to the combined impact of global population aging, increased life expectancy, fertility decline, and changing family structures, a growing segment of the population facing retirement is in danger of poverty and economic insecurity. As a result of their advanced age many elderly have lost their ability to earn an income, causing some to be penniless the rest of their lives. Therefore, the purpose of a government or a private run pension system is to provide a mechanism using financial tools to protect the entire structure for old age economic security. This paper not only introduces the philosophy and basic concept of a general pension system, but also examines a United States model, providing a closer look at a major developed industrial country’s national social security program, and corporate pension system. It also describes the experience of reforms on the development process of the United States retirement pension system. This paper studies the various corporate pension schemes in the United States and their possible application as models to countries such as Taiwan. In focusing on the United States corporate pension system in private sector, legal and economic issues are scrutinized. Theories which related to the pension system are first analyzed; then the definitions of the various retirement plans are given. The history of private pension schemes of the United States is told, starting with the American Express, then crude railroad retirement plans to the post-war demand to current United States retirement plans. Analysis of the changes in private sector's pension plan participation for defined benefits and defined contribution plans are examined in light of the impact these changes have made upon retirement income resources. Focus on the IBM Corporation is made as an example of a private sector business in the United States, and this study tracks the evolution of the company’s pension schemes from defined benefit pension plans to the newer hybrid cash balance pension plans and the now-popular defined contribution 401(k) pension plans. Findings show that the United States corporate pension system is not feasible as a model at this time because of its many deficiencies in its laws and regulations, and also because of the currently shaky global economy. Suggestions and possible remedies are given on how to strengthen the corporate retirement pension system in United States.

This report provides an extensive overview of the history of the Swedish pension system. Starting with the implementation of the world's first universal public pension system in 1913, the report discusses the political as well as the economic background to each major public pension reform up until today. It presents the rules and the institutional details of these reforms and discuss their implications for retirement behavior, the general state of the economy and the political environment. Parallel to the development of the public pension system, a comprehensive and quite complex occupational pension system has emerged. This report describes the historical background and the institutional details of the four largest agreement-based occupational pension schemes in Sweden.

<p>Pension fund companies manage and invest large amounts of money on behalf of their members. In return for their contributions, members expect a benefit at termination of their contract. Due to the volatile nature of returns that pension funds attain, pension companies started attaching a minimum guaranteed amount to member&rsquo / s benefits. In this mini-thesis we look at the pioneering work of Brennan and Schwartz [10] for pricing these minimum guarantees. The model they developed prices these minimum guarantees using option pricing theory. We also look at the model proposed by Deelstra et al. which prices minimum guarantees in a stochastic financial setting. We conclude this mini-thesis with new contributions where we look at simple alternative ways of pricing minimum guarantees. We conclude this mini-thesis with an approach, related to the work of Brennan and Schwartz [10], whereby the member&rsquo / s benefit is maximised for a given minimum guaranteed amount, which comprises of multi-period guarantees. We formulate a method to find the optimal stream of these multi-period guarantees.</p>

Magister Scientiae - MSc / Pension fund companies manage and invest large amounts of money on behalf of their members. In return for their contributions, members expect a benefit at termination of their contract. Due to the volatile nature of returns that pension funds attain, pension companies started attaching a minimum guaranteed amount to member&rsquo;s benefits. In this mini-thesis we look at the pioneering work of Brennan and Schwartz [10] for pricing these minimum guarantees. The model they developed prices these minimum guarantees using option pricing theory. We also look at the model proposed by Deelstra et al. which prices minimum guarantees in a stochastic financial setting. We conclude this mini-thesis with new contributions where we look at simple alternative ways of pricing minimum guarantees. We conclude this mini-thesis with an approach, related to the work of Brennan and Schwartz [10], whereby the member&rsquo;s benefit is maximised for a given minimum guaranteed amount, which comprises of multi-period guarantees. We formulate a method to find the optimal stream of these multi-period guarantees. / South Africa

>Magister Scientiae - MSc / Pensions are essentially the only source of income for many retired workers. It is thus critical that the pension fund manager chooses the right type of plan for his/her workers.Every pension scheme follows its own set of rules when calculating the benefits of the fund’s members at retirement. Whichever plan the manager chooses for the members,he/she will have to invest their contributions in the financial market. The manager is therefore faced with the daunting task of selecting the most appropriate investment strat-egy as to maximize the returns from the financial assets. Due to the volatile nature of stock markets, some pension companies have attached minimum guarantees to pension contracts. These guarantees come at a price, but ensure that the member does not suffer a loss due to poorly performing equities.In this thesis we study four types of mathematical problems in pension fund management,of which three are essentially optimization problems. Firstly, following Blake [5], we show in a discrete time setting how to decompose a pension benefit into a combination of Euro-pean options. We also model the pension plan preferences of workers, sponsors and fund managers. We make a number of contributions additional to the paper by Blake [5]. In particular, we contribute graphic illustrations of the expected values of the pension fund assets, liabilities and the actuarial surplus processes. In more detail than in the original source, we derive the variance of the assets of a defined benefit pension plan. Secondly,we dedicate Chapter 6 to the problem of minimizing the cost of a minimum guarantee included in defined contribution (DC) pension contracts. Here we work in discrete time and consider multi-period guarantees similar to those in Hipp [25]. This entire chapter is original work. Using a standard optimization method, we propose a strategy that cal- culates an optimal sequence of guarantees that minimizes the sum of the squares of the present value of the total price of the guarantee. Graphic illustrations are included to in-dicate the minimum value and corresponding optimal sequence of guarantees. Thirdly, we derive an optimal investment strategy for a defined contribution fund with three financial assets in the presence of a minimum guarantee. We work in a continuous time setting and in particular contribute simulations of the dynamics of the short interest rate process and the assets in the financial market of Deelstra et al. [19]. We also derive an optimal investment strategy of the surplus process introduced in Deelstra et al. [19]. The results regarding the surplus are then converted to consider the actual investment portfolio per- taining to the wealth of the fund. We note that the aforementioned paper does not use optimal control theory. In order to illustrate the method of stochastic optimal control, we study a fourth problem by including a discussion of the paper by Devolder et al. [21] in Chapter 3. We enhance the work in the latter paper by including some simulations. The specific portfolio management strategies are applicable to banking as well (and is being pursued independently).