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Discrete Models Of Financial Markets


Discrete Models Of Financial Markets
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Discrete Models Of Financial Markets


Discrete Models Of Financial Markets
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Author : Marek Capiński
language : en
Publisher: Cambridge University Press
Release Date : 2012-02-23

Discrete Models Of Financial Markets written by Marek Capiński and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-23 with Business & Economics categories.


An excellent basis for further study. Suitable even for readers with no mathematical background.



Discrete Models Of Financial Markets


Discrete Models Of Financial Markets
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Author : Marek Capiński
language : en
Publisher:
Release Date : 2012

Discrete Models Of Financial Markets written by Marek Capiński and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Finance categories.


"This book explains in simple settings the fundamental ideas of financial market modelling and derivative pricing, using the no-arbitrage principle. Relatively elementary mathematics leads to powerful notions and techniques - such as viability, completeness, self-financing and replicating strategies, arbitrage and equivalent martingale measures - which are directly applicable in practice. The general methods are applied in detail to pricing and hedging European and American options within the Cox-Ross-Rubinstein (CRR) binomial tree model. A simple approach to discrete interest rate models is included, which, though elementary, has some novel features. All proofs are written in a user-friendly manner, with each step carefully explained and following a natural flow of thought. In this way the student learns how to tackle new problems"--



Discrete Models Of Financial Markets


Discrete Models Of Financial Markets
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Author : P. E. Kopp
language : en
Publisher:
Release Date : 2014-05-14

Discrete Models Of Financial Markets written by P. E. Kopp and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with Finance categories.


An excellent basis for further study. Suitable even for readers with no mathematical background.



Discrete Time Approximations And Limit Theorems


Discrete Time Approximations And Limit Theorems
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Author : Yuliya Mishura
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2021-10-25

Discrete Time Approximations And Limit Theorems written by Yuliya Mishura and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-25 with Mathematics categories.


Financial market modeling is a prime example of a real-life application of probability theory and stochastics. This authoritative book discusses the discrete-time approximation and other qualitative properties of models of financial markets, like the Black-Scholes model and its generalizations, offering in this way rigorous insights on one of the most interesting applications of mathematics nowadays.



Mathematics Of Financial Markets


Mathematics Of Financial Markets
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Author : Robert J Elliott
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

Mathematics Of Financial Markets written by Robert J Elliott and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.


This book explores the mathematics that underpins pricing models for derivative securities such as options, futures and swaps in modern markets. Models built upon the famous Black-Scholes theory require sophisticated mathematical tools drawn from modern stochastic calculus. However, many of the underlying ideas can be explained more simply within a discrete-time framework. This is developed extensively in this substantially revised second edition to motivate the technically more demanding continuous-time theory.



Mathematical Models Of Financial Derivatives


Mathematical Models Of Financial Derivatives
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Author : Yue-Kuen Kwok
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-07-10

Mathematical Models Of Financial Derivatives written by Yue-Kuen Kwok and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-10 with Mathematics categories.


This second edition, now featuring new material, focuses on the valuation principles that are common to most derivative securities. A wide range of financial derivatives commonly traded in the equity and fixed income markets are analysed, emphasising aspects of pricing, hedging and practical usage. This second edition features additional emphasis on the discussion of Ito calculus and Girsanovs Theorem, and the risk-neutral measure and equivalent martingale pricing approach. A new chapter on credit risk models and pricing of credit derivatives has been added. Up-to-date research results are provided by many useful exercises.



Martingale Methods In Financial Modelling


Martingale Methods In Financial Modelling
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Author : Marek Musiela
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-01-20

Martingale Methods In Financial Modelling written by Marek Musiela and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-20 with Mathematics categories.


A new edition of a successful, well-established book that provides the reader with a text focused on practical rather than theoretical aspects of financial modelling Includes a new chapter devoted to volatility risk The theme of stochastic volatility reappears systematically and has been revised fundamentally, presenting a much more detailed analyses of interest-rate models



Derivative Pricing In Discrete Time


Derivative Pricing In Discrete Time
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Author : Nigel J. Cutland
language : en
Publisher: Springer
Release Date : 2012-09-14

Derivative Pricing In Discrete Time written by Nigel J. Cutland and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-14 with Mathematics categories.


Derivatives are financial entities whose value is derived from the value of other more concrete assets such as stocks and commodities. They are an important ingredient of modern financial markets. This book provides an introduction to the mathematical modelling of real world financial markets and the rational pricing of derivatives, which is part of the theory that not only underpins modern financial practice but is a thriving area of mathematical research. The central theme is the question of how to find a fair price for a derivative; defined to be a price at which it is not possible for any trader to make a risk free profit by trading in the derivative. To keep the mathematics as simple as possible, while explaining the basic principles, only discrete time models with a finite number of possible future scenarios are considered. The theory examines the simplest possible financial model having only one time step, where many of the fundamental ideas occur, and are easily understood. Proceeding slowly, the theory progresses to more realistic models with several stocks and multiple time steps, and includes a comprehensive treatment of incomplete models. The emphasis throughout is on clarity combined with full rigour. The later chapters deal with more advanced topics, including how the discrete time theory is related to the famous continuous time Black-Scholes theory, and a uniquely thorough treatment of American options. The book assumes no prior knowledge of financial markets, and the mathematical prerequisites are limited to elementary linear algebra and probability. This makes it accessible to undergraduates in mathematics as well as students of other disciplines with a mathematical component. It includes numerous worked examples and exercises, making it suitable for self-study.



Stochastic Finance


Stochastic Finance
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Author : Hans Föllmer
language : en
Publisher: Walter de Gruyter
Release Date : 2011-01-28

Stochastic Finance written by Hans Föllmer and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-28 with Mathematics categories.


This book is an introduction to financial mathematics. It is intended for graduate students in mathematics and for researchers working in academia and industry. The focus on stochastic models in discrete time has two immediate benefits. First, the probabilistic machinery is simpler, and one can discuss right away some of the key problems in the theory of pricing and hedging of financial derivatives. Second, the paradigm of a complete financial market, where all derivatives admit a perfect hedge, becomes the exception rather than the rule. Thus, the need to confront the intrinsic risks arising from market incomleteness appears at a very early stage. The first part of the book contains a study of a simple one-period model, which also serves as a building block for later developments. Topics include the characterization of arbitrage-free markets, preferences on asset profiles, an introduction to equilibrium analysis, and monetary measures of financial risk. In the second part, the idea of dynamic hedging of contingent claims is developed in a multiperiod framework. Topics include martingale measures, pricing formulas for derivatives, American options, superhedging, and hedging strategies with minimal shortfall risk. This third revised and extended edition now contains more than one hundred exercises. It also includes new material on risk measures and the related issue of model uncertainty, in particular a new chapter on dynamic risk measures and new sections on robust utility maximization and on efficient hedging with convex risk measures.



State Space Models


State Space Models
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Author : Yong Zeng
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-08-15

State Space Models written by Yong Zeng and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-15 with Business & Economics categories.


State-space models as an important mathematical tool has been widely used in many different fields. This edited collection explores recent theoretical developments of the models and their applications in economics and finance. The book includes nonlinear and non-Gaussian time series models, regime-switching and hidden Markov models, continuous- or discrete-time state processes, and models of equally-spaced or irregularly-spaced (discrete or continuous) observations. The contributed chapters are divided into four parts. The first part is on Particle Filtering and Parameter Learning in Nonlinear State-Space Models. The second part focuses on the application of Linear State-Space Models in Macroeconomics and Finance. The third part deals with Hidden Markov Models, Regime Switching and Mathematical Finance and the fourth part is on Nonlinear State-Space Models for High Frequency Financial Data. The book will appeal to graduate students and researchers studying state-space modeling in economics, statistics, and mathematics, as well as to finance professionals.