圖書標籤: 金融工程 finance Mathematics 金融 數學 math Finite-Element Finance
发表于2024-12-23
Finite Difference Methods in Financial Engineering pdf epub mobi txt 電子書 下載 2024
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.
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Duffy是做pde的数值算法出身,想必他对自己所要写的东西是信手拈来。可惜他似乎高估了他的读者的水平。在前言里面他宣称这本书可以适用于pde零基础的人。对于这点我难以苟同。很难相信一个从来没接触过pde的人可以在短短几十页当中搞清楚pde的分类,方程的初边值条件提...
評分Duffy是做pde的数值算法出身,想必他对自己所要写的东西是信手拈来。可惜他似乎高估了他的读者的水平。在前言里面他宣称这本书可以适用于pde零基础的人。对于这点我难以苟同。很难相信一个从来没接触过pde的人可以在短短几十页当中搞清楚pde的分类,方程的初边值条件提...
評分Duffy是做pde的数值算法出身,想必他对自己所要写的东西是信手拈来。可惜他似乎高估了他的读者的水平。在前言里面他宣称这本书可以适用于pde零基础的人。对于这点我难以苟同。很难相信一个从来没接触过pde的人可以在短短几十页当中搞清楚pde的分类,方程的初边值条件提...
評分Duffy是做pde的数值算法出身,想必他对自己所要写的东西是信手拈来。可惜他似乎高估了他的读者的水平。在前言里面他宣称这本书可以适用于pde零基础的人。对于这点我难以苟同。很难相信一个从来没接触过pde的人可以在短短几十页当中搞清楚pde的分类,方程的初边值条件提...
評分Duffy是做pde的数值算法出身,想必他对自己所要写的东西是信手拈来。可惜他似乎高估了他的读者的水平。在前言里面他宣称这本书可以适用于pde零基础的人。对于这点我难以苟同。很难相信一个从来没接触过pde的人可以在短短几十页当中搞清楚pde的分类,方程的初边值条件提...
Finite Difference Methods in Financial Engineering pdf epub mobi txt 電子書 下載 2024