Author: Peter Eris Kloeden
Publisher: Springer Science & Business Media
ISBN: 3642579132
Category : Mathematics
Languages : en
Pages : 304
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Book Description
This book provides an easily accessible, computationally-oriented introduction into the numerical solution of stochastic differential equations using computer experiments. It develops in the reader an ability to apply numerical methods solving stochastic differential equations. It also creates an intuitive understanding of the necessary theoretical background. Software containing programs for over 100 problems is available online.
Author: Simo Särkkä
Publisher: Cambridge University Press
ISBN: 1316510085
Category : Business & Economics
Languages : en
Pages : 327
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Book Description
With this hands-on introduction readers will learn what SDEs are all about and how they should use them in practice.
Author: Peter E. Kloeden
Publisher:
ISBN:
Category :
Languages : en
Pages : 292
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Book Description
Author: Daniel J. Duffy
Publisher: John Wiley & Sons
ISBN: 0470684062
Category : Business & Economics
Languages : en
Pages : 775
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Book Description
This is one of the first books that describe all the steps that are needed in order to analyze, design and implement Monte Carlo applications. It discusses the financial theory as well as the mathematical and numerical background that is needed to write flexible and efficient C++ code using state-of-the art design and system patterns, object-oriented and generic programming models in combination with standard libraries and tools. Includes a CD containing the source code for all examples. It is strongly advised that you experiment with the code by compiling it and extending it to suit your needs. Support is offered via a user forum on www.datasimfinancial.com where you can post queries and communicate with other purchasers of the book. This book is for those professionals who design and develop models in computational finance. This book assumes that you have a working knowledge of C ++.
Author: Rüdiger U. Seydel
Publisher: Springer Science & Business Media
ISBN: 1447129938
Category : Mathematics
Languages : en
Pages : 440
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Book Description
The disciplines of financial engineering and numerical computation differ greatly, however computational methods are used in a number of ways across the field of finance. It is the aim of this book to explain how such methods work in financial engineering; specifically the use of numerical methods as tools for computational finance. By concentrating on the field of option pricing, a core task of financial engineering and risk analysis, this book explores a wide range of computational tools in a coherent and focused manner and will be of use to the entire field of computational finance. Starting with an introductory chapter that presents the financial and stochastic background, the remainder of the book goes on to detail computational methods using both stochastic and deterministic approaches. Now in its fifth edition, Tools for Computational Finance has been significantly revised and contains: A new chapter on incomplete markets which links to new appendices on Viscosity solutions and the Dupire equation; Several new parts throughout the book such as that on the calculation of sensitivities (Sect. 3.7) and the introduction of penalty methods and their application to a two-factor model (Sect. 6.7) Additional material in the field of analytical methods including Kim’s integral representation and its computation Guidelines for comparing algorithms and judging their efficiency An extended chapter on finite elements that now includes a discussion of two-asset options Additional exercises, figures and references Written from the perspective of an applied mathematician, methods are introduced as tools within the book for immediate and straightforward application. A ‘learning by calculating’ approach is adopted throughout this book enabling readers to explore several areas of the financial world. Interdisciplinary in nature, this book will appeal to advanced undergraduate students in mathematics, engineering and other scientific disciplines as well as professionals in financial engineering.
Author: Daniel R. Lynch
Publisher: Cambridge University Press
ISBN: 110706175X
Category : Science
Languages : en
Pages : 545
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Book Description
This book summarizes the modeling of the transport, evolution and fate of particles in the coastal ocean for advanced students and researchers.
Author: Roland Demmel
Publisher: Springer Science & Business Media
ISBN: 3642585957
Category : Business & Economics
Languages : en
Pages : 284
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Book Description
The introduction of the thesis consists of four parts: first, we motivate our chosen macroeconomic setting by looking at some real world phenomena. For a better understanding of these phenomena, we argue that the mutual dynamic interactions between flScal policy and financial markets need to be closely examined in a macroeconomic framework. Second, we review different strands of the economic literature in order to show that most of the literature has so far exclusively concentrated either on fmancial market dynamics or on flScal policy issues. We conclude that a more integrated model setting is called for in order to explain the dynamic interactions observed in reality. Third, we discuss at length the economic assumptions underlying our model. This avoids multiple repetition later on. Finally, we outline the structure of the thesis and the objectives we pursue in the different chapters. 1. 1 Motivation Fiscal policy and financial market reactions are increasingly receiving world wide attention. The most recent examples are the Maastricht criteria about flScal control, the South-East Asia financial crisis and the resulting IMF policy stance, the high level of public debt in developed and developing countries and the effect on interest rates and economic growth. In contrast to the still underdeveloped theoretical literature on these dynamic links, finding empirical evidence that supports the existence of these links is not a very hard task.
Author: Stefano M. Iacus
Publisher: John Wiley & Sons
ISBN: 1119990203
Category : Business & Economics
Languages : en
Pages : 402
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Book Description
Presents inference and simulation of stochastic process in the field of model calibration for financial times series modelled by continuous time processes and numerical option pricing. Introduces the bases of probability theory and goes on to explain how to model financial times series with continuous models, how to calibrate them from discrete data and further covers option pricing with one or more underlying assets based on these models. Analysis and implementation of models goes beyond the standard Black and Scholes framework and includes Markov switching models, Lévy models and other models with jumps (e.g. the telegraph process); Topics other than option pricing include: volatility and covariation estimation, change point analysis, asymptotic expansion and classification of financial time series from a statistical viewpoint. The book features problems with solutions and examples. All the examples and R code are available as an additional R package, therefore all the examples can be reproduced.
Author: Bjørn Ian Dundas
Publisher: Springer Science & Business Media
ISBN: 3540458956
Category : Mathematics
Languages : en
Pages : 228
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Book Description
This book is based on lectures given at a summer school on motivic homotopy theory at the Sophus Lie Centre in Nordfjordeid, Norway, in August 2002. Vladimir Voevodsky is one of the founders of the theory and received the Fields medal for his work.
Author: Claudio Procesi
Publisher: Springer Science & Business Media
ISBN: 0387260404
Category : Mathematics
Languages : en
Pages : 616
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Book Description
Lie groups has been an increasing area of focus and rich research since the middle of the 20th century. In Lie Groups: An Approach through Invariants and Representations, the author's masterful approach gives the reader a comprehensive treatment of the classical Lie groups along with an extensive introduction to a wide range of topics associated with Lie groups: symmetric functions, theory of algebraic forms, Lie algebras, tensor algebra and symmetry, semisimple Lie algebras, algebraic groups, group representations, invariants, Hilbert theory, and binary forms with fields ranging from pure algebra to functional analysis. By covering sufficient background material, the book is made accessible to a reader with a relatively modest mathematical background. Historical information, examples, exercises are all woven into the text. This unique exposition is suitable for a broad audience, including advanced undergraduates, graduates, mathematicians in a variety of areas from pure algebra to functional analysis and mathematical physics.
