Martingale Methods in Financial Modelling PDF Download

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Martingale Methods in Financial Modelling

Martingale Methods in Financial Modelling PDF Author: Marek Musiela
Publisher: Springer Science & Business Media
ISBN: 3662221322
Category : Mathematics
Languages : en
Pages : 521

Book Description
A comprehensive and self-contained treatment of the theory and practice of option pricing. The role of martingale methods in financial modeling is exposed. The emphasis is on using arbitrage-free models already accepted by the market as well as on building the new ones. Standard calls and puts together with numerous examples of exotic options such as barriers and quantos, for example on stocks, indices, currencies and interest rates are analysed. The importance of choosing a convenient numeraire in price calculations is explained. Mathematical and financial language is used so as to bring mathematicians closer to practical problems of finance and presenting to the industry useful maths tools.

Martingale Methods in Financial Modelling

Martingale Methods in Financial Modelling PDF Author: Marek Musiela
Publisher: Springer Science & Business Media
ISBN: 3662221322
Category : Mathematics
Languages : en
Pages : 521

Book Description
A comprehensive and self-contained treatment of the theory and practice of option pricing. The role of martingale methods in financial modeling is exposed. The emphasis is on using arbitrage-free models already accepted by the market as well as on building the new ones. Standard calls and puts together with numerous examples of exotic options such as barriers and quantos, for example on stocks, indices, currencies and interest rates are analysed. The importance of choosing a convenient numeraire in price calculations is explained. Mathematical and financial language is used so as to bring mathematicians closer to practical problems of finance and presenting to the industry useful maths tools.

Life Annuity Products and Their Guarantees

Life Annuity Products and Their Guarantees PDF Author: Collectif
Publisher: OECD
ISBN: 9264267794
Category : Business & Economics
Languages : en
Pages : 153

Book Description
This publication helps policy makers to better understand annuity products and the guarantees they provide in order to optimise the role that these products can play in financing retirement. Product design is a crucial factor in the potential role of annuity products within the pension system, along with the cost and demand for these products, and the resulting risks that are borne by the annuity providers. Increasingly complex products, however, pose additional challenges concerning consumer protection. Consumers need to be aware of their options and have access to unbiased and comprehensible advice and information about these products.

Modelling Longevity Dynamics for Pensions and Annuity Business

Modelling Longevity Dynamics for Pensions and Annuity Business PDF Author: Ermanno Pitacco
Publisher: OUP Oxford
ISBN: 0191563153
Category : Business & Economics
Languages : en
Pages : 417

Book Description
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.

Interest Rate Models

Interest Rate Models PDF Author: Andrew J. G. Cairns
Publisher: Princeton University Press
ISBN: 0691187428
Category : Business & Economics
Languages : en
Pages : 289

Book Description
The field of financial mathematics has developed tremendously over the past thirty years, and the underlying models that have taken shape in interest rate markets and bond markets, being much richer in structure than equity-derivative models, are particularly fascinating and complex. This book introduces the tools required for the arbitrage-free modelling of the dynamics of these markets. Andrew Cairns addresses not only seminal works but also modern developments. Refreshingly broad in scope, covering numerical methods, credit risk, and descriptive models, and with an approachable sequence of opening chapters, Interest Rate Models will make readers--be they graduate students, academics, or practitioners--confident enough to develop their own interest rate models or to price nonstandard derivatives using existing models. The mathematical chapters begin with the simple binomial model that introduces many core ideas. But the main chapters work their way systematically through all of the main developments in continuous-time interest rate modelling. The book describes fully the broad range of approaches to interest rate modelling: short-rate models, no-arbitrage models, the Heath-Jarrow-Morton framework, multifactor models, forward measures, positive-interest models, and market models. Later chapters cover some related topics, including numerical methods, credit risk, and model calibration. Significantly, the book develops the martingale approach to bond pricing in detail, concentrating on risk-neutral pricing, before later exploring recent advances in interest rate modelling where different pricing measures are important.

Survival Models and Data Analysis

Survival Models and Data Analysis PDF Author: Regina C. Elandt-Johnson
Publisher: John Wiley & Sons
ISBN: 1119011035
Category : Mathematics
Languages : en
Pages : 490

Book Description
Survival analysis deals with the distribution of life times, essentially the times from an initiating event such as birth or the start of a job to some terminal event such as death or pension. This book, originally published in 1980, surveys and analyzes methods that use survival measurements and concepts, and helps readers apply the appropriate method for a given situation. Four broad sections cover introductions to data, univariate survival function, multiple-failure data, and advanced topics.

Nonfinancial Defined Contribution Pension Schemes in a Changing Pension World

Nonfinancial Defined Contribution Pension Schemes in a Changing Pension World PDF Author: Robert Holzmann
Publisher: World Bank Publications
ISBN: 0821394797
Category : Business & Economics
Languages : en
Pages : 535

Book Description
Nonfinancial Defined Contribution (NDC) schemes are now in their teens. The new pension concept was born in the early 1990s, implemented from the mid-1990s in Italy, Latvia, Poland and Sweden, legislated most recently in Norway and Egypt and serves as inspiration for other reform countries. This innovative unfunded individual account scheme created high hopes at a time when the world seemed to have been locked into a stalemate between piecemeal reforms of ailing traditional defined benefit schemes and introducing pre-funded financial account schemes. The experiences and conceptual issues of NDC in its childhood were reviewed in a prior anthology (Holzmann and Palmer, 2006). This new anthology published in 2 volumes serves to review its adolescence and with the aim of contributing to a successful adulthood. Volume 1 on Progress, Lessons, Implementation includes a detailed analysis of the experience and the key policy lessons in the old and new pilot countries and the implementation of NDCs elements in other reform countries. This volume 2 on Gender, Politics, Financial Stability includes deeper and new analyses of these issues that found little or no attention in the 2006 publication. The gender perspective includes 5 chapters with, perhaps, the most complete discussion on gender and pension issues available to date. The financial stability perspective addresses in 6 chapters critical micro- and macroeconomic aspects such as the balancing mechanism, the use of a reserve fund, the handling of legacy costs, and technicalities related to the management of the longevity risk when designing annuities. While the 2 volumes address many issues it also opens a number of new questions for which good answers are not yet readily available.

Life Insurance Fact Book

Life Insurance Fact Book PDF Author:
Publisher:
ISBN:
Category : Life insurance
Languages : en
Pages : 398

Book Description


Pension Economics

Pension Economics PDF Author: David Blake
Publisher: John Wiley & Sons
ISBN: 9780470058718
Category : Business & Economics
Languages : en
Pages : 270

Book Description
While not attempting to train readers as professional economists, this book aims to provide a secure grounding in the theory and practice of economics insofar as it deals with pension matters. From reading this book, the user will understand: * The key types of pension scheme * The role of pensions in maximizing individual lifetime welfare * The role of pensions in individual savings and retirement decisions * The role and consequences of the pension plan from the company's viewpoint * The role of pensions in promoting aggregate savings * The role of pensions and retirement in overlapping generations models * The economics of ageing and intergenerational accounting * The social welfare implications of pensions * The lessons of behavioural economics for pensions

Annuities and Other Retirement Products

Annuities and Other Retirement Products PDF Author: Roberto Rezende Rocha
Publisher: World Bank Publications
ISBN: 0821385747
Category : Business & Economics
Languages : en
Pages : 376

Book Description
In the 1990s many emerging economies in Central Europe and Latin America initiated their pension reforms. While most analysis to date has focused on the accumulation phase, there are a number of lessons to be shared as countries start to prepare the retirement options for their contributors, with this book addressing these issues from a public policy perspective.

Essays on asset liabilty modelling

Essays on asset liabilty modelling PDF Author: David Frederik Schrager
Publisher: Rozenberg Publishers
ISBN: 9051709455
Category :
Languages : en
Pages : 195

Book Description