599,99 zł

Simulation And Inference For Stochastic Differential Equations

Książki Obcojęzyczne>Angielskie>Mathematics & science>Mathematics>Applied mathematics>StochasticsKsiążki Obcojęzyczne>Angielskie>...

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Sklep: Gigant.pl

404,19 zł

Stochastic Calculus Springer International Publishing AG

Książki / Literatura obcojęzyczna

This book provides a comprehensive introduction to the theory of stochastic calculus and some of its applications. It is the only textbook on the subject to include more than two hundred exercises with complete solutions.After explaining the basic elements of probability, the author introduces more advanced topics such as Brownian motion, martingales and Markov processes. The core of the book covers stochastic calculus, including stochastic differential equations, the relationship to partial differential equations, numerical methods and simulation, as well as applications of stochastic processes to finance. The final chapter provides detailed solutions to all exercises, in some cases presenting various solution techniques together with a discussion of advantages and drawbacks of the methods used.Stochastic Calculus will be particularly useful to advanced undergraduate and graduate students wishing to acquire a solid understanding of the subject through the theory and exercises. Including full mathematical statements and rigorous proofs, this book is completely self-contained and suitable for lecture courses as well as self-study.

Sklep: Libristo.pl

512,72 zł

Stochastic Calculus, 1 Birkhäuser

Książki / Literatura obcojęzyczna

This work focuses on analyzing and presenting solutions for a wide range of stochastic problems that are encountered in applied mathematics, probability, physics, engineering, finance, and economics. The approach used reduces the gap between the mathematical and engineering literature. Stochastic problems are defined by algebraic, differential or integral equations with random coefficients and/or input. However, it is the type, rather than the particular field of application, that is used to categorize these problems.§An introductory chapter outlines the types of stochastic problems under consideration in this book and illustrates some of their applications. A user friendly, systematic exposition unfolds as follows: The essentials of probability theory, random processes, stochastic integration, and Monte Carlo simulation are developed in chapters 2--5. The Monte Carlo method is used extensively to illustrate difficult theoretical concepts and solve numerically some of the stochastic problems in chapters 6--9.§Key features:§Computational skills developed as needed to solve realistic stochastic problems §Classical mathematical notation used, and essential theoretical facts boxed §Numerous examples from applied sciences and engineering §Complete proofs given; if too technical, notes clarify the idea and/or main steps §Problems at the end of each chapter reinforce applications; hints given. §Good bibliography at the end of every chapter §Comprehensive index§This work is unique, self-contained, and far from a collection of facts and formulas. The analytical and numerical methods approach for solving stochastic problems may be used for self-study by a variety of researchers, and in the classroom by first year graduate students.§

Sklep: Libristo.pl

673,42 zł

Finite Difference Methods in Financial Engineering - A Partial Differential Equation Approach John Wiley & Sons Inc

Książki / Literatura obcojęzyczna

The world of quantitative finance (QF) is one of the fastest growing areas of research and its practical applications to derivatives pricing problem. Since the discovery of the famous Black-Scholes equation in the 1970's we have seen a surge in the number of models for a wide range of products such as plain and exotic options, interest rate derivatives, real options and many others. Gone are the days when it was possible to price these derivatives analytically. For most problems we must resort to some kind of approximate method. In this book we employ partial differential equations (PDE) to describe a range of one-factor and multi-factor derivatives products such as plain European and American options, multi-asset options, Asian options, interest rate options and real options. PDE techniques allow us to create a framework for modeling complex and interesting derivatives products. Having defined the PDE problem we then approximate it using the Finite Difference Method (FDM). This method has been used for many application areas such as fluid dynamics, heat transfer, semiconductor simulation and astrophysics, to name just a few.In this book we apply the same techniques to pricing real-life derivative products. We use both traditional (or well-known) methods as well as a number of advanced schemes that are making their way into the QF literature:* Crank-Nicolson, exponentially fitted and higher-order schemes for one-factor and multi-factor options* Early exercise features and approximation using front-fixing, penalty and variational methods* Modelling stochastic volatility models using Splitting methods* Critique of ADI and Crank-Nicolson schemes; when they work and when they don't work* Modelling jumps using Partial Integro Differential Equations (PIDE)* Free and moving boundary value problems in QF Included with the book is a CD containing information on how to set up FDM algorithms, how to map these algorithms to C++ as well as several working programs for one-factor and two-factor models. We also provide source code so that you can customize the applications to suit your own needs.

Sklep: Libristo.pl

615,83 zł

Foreign Exchange Option Pricing - A Practitioner's Guide John Wiley & Sons Inc

Książki / Literatura obcojęzyczna

This book covers foreign exchange options from the point of view of the finance practitioner. It contains everything a quant or trader working in a bank or hedge fund would need to know about the mathematics of foreign exchange--not just the theoretical mathematics covered in other books but also comprehensive coverage of implementation, pricing and calibration. With content developed with input from traders and with examples using real-world data, this book introduces many of the more commonly requested products from FX options trading desks, together with the models that capture the risk characteristics necessary to price these products accurately. Crucially, this book describes the numerical methods required for calibration of these models - an area often neglected in the literature, which is nevertheless of paramount importance in practice. Thorough treatment is given in one unified text to the following features: Correct market conventions for FX volatility surface constructionAdjustment for settlement and delayed delivery of optionsPricing of vanillas and barrier options under the volatility smileBarrier bending for limiting barrier discontinuity risk near expiryIndustry strength partial differential equations in one and several spatial variables using finite differences on nonuniform gridsFourier transform methods for pricing European options using characteristic functionsStochastic and local volatility models, and a mixed stochastic/local volatility modelThree-factor long-dated FX modelNumerical calibration techniques for all the models in this workThe augmented state variable approach for pricing strongly path-dependent options using either partial differential equations or Monte Carlo simulation Connecting mathematically rigorous theory with practice, this is the essential guide to foreign exchange options in the context of the real financial marketplace. Table of ContentsMathematical Preliminaries Deltas and Market ConventionsVolatility Surface ConstructionLocal Volatility and Implied VolatilityStochastic VolatilityNumerical Methods for Pricing and CalibrationFirst Generation Exotics - Binary and Barrier OptionsSecond Generation ExoticsMulticurrency OptionsLong-dated FX Options

Sklep: Libristo.pl

436,85 zł

Molecular Dynamics Springer International Publishing AG

Książki / Literatura obcojęzyczna

This book describes the mathematical underpinnings of algorithms used for molecular dynamics simulation, including both deterministic and stochastic numerical methods. Molecular dynamics is one of the most versatile and powerful methods of modern computational science and engineering and is used widely in chemistry, physics, materials science and biology. Understanding the foundations of numerical methods means knowing how to select the best one for a given problem (from the wide range of techniques on offer) and how to create new, efficient methods to address particular challenges as they arise in complex applications.Aimed at a broad audience, this book presents the basic theory of Hamiltonian mechanics and stochastic differential equations, as well as topics including symplectic numerical methods, the handling of constraints and rigid bodies, the efficient treatment of Langevin dynamics, thermostats to control the molecular ensemble, multiple time-stepping, and the dissipative particle dynamics method.

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