Financial modelling : theory, implementation and practice (with Matlab source)

Jörg Kienitz, Daniel Wetterau

Financial Modelling - Theory, Implementation and Practice is a unique combination of quantitative techniques, the application to financial problems and programming using Matlab. The book enables the reader to model, design and implement a wide range of financial models for derivatives pricing and asset allocation, providing practitioners with complete financial modelling workflow, from model choice, deriving prices and Greeks using (semi-) analytic and simulation techniques, and calibration even for exotic options. The book is split into three parts. The first part considers financial markets in general and looks at the complex models needed to handle observed structures, reviewing models based on diffusions including stochastic-local volatility models and (pure) jump processes. It shows the possible risk neutral densities, implied volatility surfaces, option pricing and typical paths for a variety of models including SABR, Heston, Bates, Bates-Hull-White, Displaced-Heston, or stochastic volatility versions of Variance Gamma, respectively Normal Inverse Gaussian models and finally, multi-dimensional models. The stochastic-local-volatility Libor market model with time-dependent parameters is considered and as an application how to price and risk-manage CMS spread products is demonstrated. The second part of the book deals with numerical methods which enables the reader to use the models of the first part for pricing and risk management, covering methods based on direct integration and Fourier transforms, and detailing the implementation of the COS, CONV, Carr-Madan method or Fourier-Space-Time Stepping. This is applied to pricing of European, Bermudan and exotic options as well as the calculation of the Greeks. The Monte Carlo simulation technique is outlined and bridge sampling is discussed in a Gaussian setting and for Lévy processes.

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Year of publication:	c2012 ; Online-Ausg.
Authors:	Kienitz, Jörg ; Wetterau, Daniel
Publisher:	Chichester, UK : John Wiley & Sons
Subject:	Finanzmarkt \| Financial market \| Portfolio-Management \| Portfolio selection \| Finanzmathematik \| Mathematical finance \| MATLAB \| Kapitalmarktforschung \| Mathematisches Modell
Description of contents:	Table of Contents [external.dandelon.com] ; Description [swbplus.bsz-bw.de]

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Extent:	Online-Ressource (1 online resource (xiii, 719 p.)) ill.
Series:	Wiley finance series The Wiley Finance Ser
Type of publication:	Book / Working Paper
Language:	English
Notes:	Includes bibliographical references and index. - Description based on print version record Financial Modelling; Contents; Introduction; 1 Introduction and Management Summary; 2 Why We Have Written this Book; 3 Why You Should Read this Book; 4 The Audience; 5 The Structure of this Book; 6 What this Book Does Not Cover; 7 Credits; 8 Code; PART I FINANCIAL MARKETS AND POPULAR MODELS; 1 Financial Markets - Data, Basics and Derivatives; 1.1 Introduction and Objectives; 1.2 Financial Time-Series, Statistical Properties of Market Data and Invariants; 1.2.1 Real World Distribution; 1.3 Implied Volatility Surfaces and Volatility Dynamics; 1.3.1 Is There More than just a Volatility? 1.3.2 Implied Volatility1.3.3 Time-Dependent Volatility; 1.3.4 Stochastic Volatility; 1.3.5 Volatility from Jumps; 1.3.6 Traders' Rule of Thumb; 1.3.7 The Risk Neutral Density; 1.4 Applications; 1.4.1 Asset Allocation; 1.4.2 Pricing, Hedging and Risk Management; 1.5 General Remarks on Notation; 1.6 Summary and Conclusions; 1.7 Appendix - Quotes; 2 Diffusion Models; 2.1 Introduction and Objectives; 2.2 Local Volatility Models; 2.2.1 The Bachelier and the Black-Scholes Model; 2.2.2 The Hull-White Model; 2.2.3 The Constant Elasticity of Variance Model; 2.2.4 The Displaced Diffusion Model 2.2.5 CEV and DD Models2.3 Stochastic Volatility Models; 2.3.1 Pricing European Options; 2.3.2 Risk Neutral Density; 2.3.3 The Heston Model (and Extensions); 2.3.4 The SABR Model; 2.3.5 SABR - Further Remarks; 2.4 Stochastic Volatility and Stochastic Rates Models; 2.4.1 The Heston-Hull-White Model; 2.5 Summary and Conclusions; 3 Models with Jumps; 3.1 Introduction and Objectives; 3.2 Poisson Processes and Jump Diffusions; 3.2.1 Poisson Processes; 3.2.2 The Merton Model; 3.2.3 The Bates Model; 3.2.4 The Bates-Hull-White Model; 3.3 Exponential Lévy Models; 3.3.1 The Variance Gamma Model 3.3.2 The Normal Inverse Gaussian Model3.4 Other Models; 3.4.1 Exponential Lévy Models with Stochastic Volatility; 3.4.2 Stochastic Clocks; 3.5 Martingale Correction; 3.6 Summary and Conclusions; 4 Multi-Dimensional Models; 4.1 Introduction and Objectives; 4.2 Multi-Dimensional Diffusions; 4.2.1 GBM Baskets; 4.2.2 Libor Market Models; 4.3 Multi-Dimensional Heston and SABR Models; 4.3.1 Stochastic Volatility Models; 4.4 Parameter Averaging; 4.4.1 Applications to CMS Spread Options; 4.5 Markovian Projection; 4.5.1 Baskets with Local Volatility 4.5.2 Markovian Projection on Local Volatility and Heston Models4.5.3 Markovian Projection onto DD SABR Models; 4.6 Copulae; 4.6.1 Measures of Concordance and Dependency; 4.6.2 Examples; 4.6.3 Elliptical Copulae; 4.6.4 Archimedean Copulae; 4.6.5 Building New Copulae from Given Copulae; 4.6.6 Asymmetric Copulae; 4.6.7 Applying Copulae to Option Pricing; 4.6.8 Applying Copulae to Asset Allocation; 4.7 Multi-Dimensional Variance Gamma Processes; 4.8 Summary and Conclusions; PART II NUMERICAL METHODS AND RECIPES; 5 Option Pricing by Transform Techniques and Direct Integration 5.1 Introduction and Objectives
ISBN:	978-1-283-59301-4 ; 1-283-59301-7 ; 978-1-118-41331-9 ; 978-1-118-41329-6 ; 978-1-118-41330-2 ; 978-0-470-74489-5 ; 978-0-470-74489-5 ; 0-470-74489-8 ; 978-1-118-41331-9 ; 1-118-41331-8 ; 978-1-118-41330-2 ; 1-118-41330-X ; 978-1-118-41329-6 ; 1-118-41329-6 ; 1-283-59235-5
Classification:	Investition, Finanzierung
Source:	ECONIS - Online Catalogue of the ZBW

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