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This book is a detailed and step-by-step introduction to the mathematical foundations of ordinary and partial differential equations, their approximation by the finite difference method and applications to computational finance. The book is structured so that it can be read by beginners, novices and expert users. Part A Mathematical Foundation for One-Factor Problems Chapters 1 to 7 introduce the mathematical and numerical analysis concepts ...

The Monte Carlo method is now acknowledged as being one of the most robust tools for a range of applications in finance, from option pricing to risk management and optimization. One of the best languages for the development of Monte Carlo applications and frameworks is C++, an object-oriented and generic programming language which is also an industry standard. This is one of the first books that describe all the steps that are needed in order...

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 derivat...

Domain Architectures describes and documents a number of recurring patterns and models which emerge in real-life software projects. A domain architecture is an archetype of a system designed to show functionality, behaviour and structure traits. It provides a top down view of a system - which has profound implications for system analysts, software developers and architects. It can enable developers to borrow or learn from design solutions that...

C# is a modern object-oriented programming language that runs under the Microsoft .NET Framework and it is suitable for the development of pricing and trading applications in quantitative finance. It has functionality to support the needs of quants and traders who develop fixed income and computational finance applications. It is more accessible than C++ and has interfaces with other tools such as Excel, C++, F# and database systems. C# for F...

The object-oriented programming language C++ is the de facto standard for developing real-life applications for Quantitative Finance and Financial Engineering. This language was designed by Dr. Bjarne Stroustup in the early 1990's and it has become one of the most popular and robust languages for many important areas such as medical systems, computer graphics, telecommunications and in application areas where performance, accuracy and interope...

An integrated guide to C++ and computational finance This complete guide to C++ and computational finance is a follow-up and major extension to Daniel J. Duffy's 2004 edition of Financial Instrument Pricing Using C++. Both C++ and computational finance have evolved and changed dramatically in the last ten years and this book documents these improvements. Duffy focuses on these developments and the advantages for the quant developer by: * Delv...