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Author | : Philip Martin McCaulay |
Publisher | : Independently Published |
Total Pages | : 0 |
Release | : 2024-01-03 |
Genre | : Mathematics |
ISBN | : |
Download Essential Pension Actuarial Mathematics Book in PDF, ePub and Kindle
"Essential Pension Actuarial Mathematics" is a comprehensive and invaluable resource for pension actuaries and actuarial students seeking a deep understanding of the mathematical principles and techniques essential in the field of pension actuarial science. Authored by experts in the field, this book covers a wide range of topics relevant to pension actuarial practice. Part I - Interest and Mortality: Mortality Rates and Survival Functions: This section introduces the fundamental concepts of mortality rates and survival functions, which are essential for assessing life expectancies and mortality risks in pension calculations. The Theory of Interest: Explore the theory of interest, including accumulation factors, compound interest accumulation functions, and interest discount factors. Gain insights into the mathematical foundation of interest rate calculations critical for pension actuaries. Commutation Functions and Life Annuity Factors: Delve into commutation functions and life annuity factors, which are vital tools for estimating pension payouts and assessing actuarial liabilities. Part II - Cost Methods: 4. Unit Credit (UC) Cost Method: Understand the Unit Credit cost method, one of the essential techniques for calculating pension costs and liabilities, especially in defined benefit pension plans. Projected Unit Credit (PUC) Cost Method: Explore the Projected Unit Credit cost method, which provides a more sophisticated approach to estimating pension obligations based on projected salaries and service. Entry Age Normal (EAN) Cost Method: Learn about the Entry Age Normal cost method, an individualized approach to determining pension costs and liabilities, considering participants' entry ages. Aggregate Cost Method: Discover the Aggregate Cost method, which helps assess pension costs as a percentage of payroll, providing insights into group-based pension plans. Part III - Amortization and Contributions: 8. Calculating Amortization Periods: Gain insights into calculating amortization periods, a crucial step in managing unfunded pension liabilities and contributions. Formulas for Amortization Factors: Explore the formulas for amortization factors, which facilitate the determination of contributions needed to fund pension plan deficits. Part IV - Duration and Convexity: 10. Duration: Understand the concept of duration, a critical measure for assessing the sensitivity of pension liabilities to changes in interest rates. Convexity: Explore convexity, which provides a deeper understanding of how pension liabilities respond to interest rate movements, including the concept of negative convexity. Negative Convexity: Learn about negative convexity and its implications for pension actuaries, especially in cases where certain pension securities exhibit non-linear price responses to interest rate changes. Exercise Sets: Each part includes exercise sets designed to reinforce the understanding of the presented concepts and allow readers to apply their knowledge. Comprehensive Coverage: "Essential Pension Actuarial Mathematics" provides a comprehensive and in-depth exploration of essential topics in pension actuarial mathematics, making it an invaluable reference for both experienced pension actuaries and actuarial students. Practical Application: The book not only explains theoretical concepts but also focuses on their practical application in pension actuarial practice, helping readers bridge the gap between theory and real-world scenarios.
Author | : Dominique Beckers |
Publisher | : Wolters Kluwer Belgium |
Total Pages | : 176 |
Release | : 2017 |
Genre | : |
ISBN | : 9046597407 |
Download Actuarial Mathematics for Pensions - Basics and Concepts applied to Business Book in PDF, ePub and Kindle
Author | : Arthur W. Anderson |
Publisher | : ACTEX Publications |
Total Pages | : 305 |
Release | : 2006 |
Genre | : Business & Economics |
ISBN | : 1566985595 |
Download Pension Mathematics for Actuaries Book in PDF, ePub and Kindle
Author | : S. David Promislow |
Publisher | : John Wiley & Sons |
Total Pages | : 552 |
Release | : 2014-10-27 |
Genre | : Mathematics |
ISBN | : 1118782496 |
Download Fundamentals of Actuarial Mathematics Book in PDF, ePub and Kindle
Provides a comprehensive coverage of both the deterministic and stochastic models of life contingencies, risk theory, credibility theory, multi-state models, and an introduction to modern mathematical finance. New edition restructures the material to fit into modern computational methods and provides several spreadsheet examples throughout. Covers the syllabus for the Institute of Actuaries subject CT5, Contingencies Includes new chapters covering stochastic investments returns, universal life insurance. Elements of option pricing and the Black-Scholes formula will be introduced.
Author | : Howard E. Winklevoss |
Publisher | : University of Pennsylvania Press |
Total Pages | : 342 |
Release | : 1993-03-29 |
Genre | : Business & Economics |
ISBN | : 9780812231960 |
Download Pension Mathematics with Numerical Illustrations Book in PDF, ePub and Kindle
A text that quantifies and provides new or improved actuarial notation for long recognized pension cost concepts and procedures and, in certain areas, develops new insights and techniques. With the exception of the first few chapters, the text is a virtual rewrite of the first edition of 1977. Among the major additions are chapters on statutory funding requirements, pension accounting, funding policy analysis, asset allocation, and retiree health benefits.
Author | : Subramaniam Iyer |
Publisher | : International Labour Organization |
Total Pages | : 152 |
Release | : 1999 |
Genre | : Political Science |
ISBN | : 9789221108665 |
Download Actuarial Mathematics of Social Security Pensions Book in PDF, ePub and Kindle
Describes the application of actuarial principles and techniques to public social insurance pension schemes. Aims to establish a link between public social security and occupational pension scheme methods. Part one discusses actuarial theory. Part two deals with two techniques: the projection technique, and the present value technique. There is also a brief description of actuarial mathematics.
Author | : Ermanno Pitacco |
Publisher | : OUP Oxford |
Total Pages | : 416 |
Release | : 2009-01-29 |
Genre | : Business & Economics |
ISBN | : 0191609420 |
Download Modelling Longevity Dynamics for Pensions and Annuity Business Book in PDF, ePub and Kindle
Mortality improvements, uncertainty in future mortality trends and the relevant impact on life annuities and pension plans constitute important topics in the field of actuarial mathematics and life insurance techniques. In particular, actuarial calculations concerning pensions, life annuities and other living benefits (provided, for example, by long-term care insurance products and whole life sickness covers) are based on survival probabilities which necessarily extend over a long time horizon. In order to avoid underestimation of the related liabilities, the insurance company (or the pension plan) must adopt an appropriate forecast of future mortality. Great attention is currently being devoted to the management of life annuity portfolios, both from a theoretical and a practical point of view, because of the growing importance of annuity benefits paid by private pension schemes. In particular, the progressive shift from defined benefit to defined contribution pension schemes has increased the interest in life annuities with a guaranteed annual amount. This book provides a comprehensive and detailed description of methods for projecting mortality, and an extensive introduction to some important issues concerning longevity risk in the area of life annuities and pension benefits. It relies on research work carried out by the authors, as well as on a wide teaching experience and in CPD (Continuing Professional Development) initiatives. The following topics are dealt with: life annuities in the framework of post-retirement income strategies; the basic mortality model; recent mortality trends that have been experienced; general features of projection models; discussion of stochastic projection models, with numerical illustrations; measuring and managing longevity risk.
Author | : Philip Martin McCaulay |
Publisher | : CreateSpace |
Total Pages | : 40 |
Release | : 2014-04-23 |
Genre | : Mathematics |
ISBN | : 9781499247169 |
Download Pension Actuarial Mathematics Book in PDF, ePub and Kindle
This 40-page publication on pension actuarial mathematics covers topics such as (I) interest and mortality, (II) cost methods, (III) amortization and contributions, and (IV) Duration and Convexity. Part I on interest and mortality includes mortality rates and survival functions, the theory of interest, commutation functions, and life annuity factors. Part II on cost methods includes the Unit Credit (UC) Cost Method, the Projected Unit Credit (PUC) Cost Method, the Entry Age Normal (EAN) Cost Method, and the Aggregate Cost Method. Part III on amortization and contributions includes calculating amortization periods, formulas for amortization factors, and contribution requirements. Part IV has formulas and examples for Duration and Convexity. Each of the four parts has an exercise set with an answer key and explanations.
Author | : Charles Lambert Trowbridge |
Publisher | : Actuarial Education & Research Fund |
Total Pages | : 98 |
Release | : 1989 |
Genre | : Business & Economics |
ISBN | : |
Download Fundamental Concepts of Actuarial Science Book in PDF, ePub and Kindle
Author | : Keith P. Sharp |
Publisher | : |
Total Pages | : 187 |
Release | : 2006 |
Genre | : Insurance |
ISBN | : 9781566984102 |
Download Pension Mathematics for Actuaries, Commentary and Solutions Book in PDF, ePub and Kindle