The Greeks and Hedging Explained

Author: Peter Leoni

Publisher: Springer

ISBN: 1137350741

Category: Business & Economics

Page: 134

View: 1291


A practical guide to basic and intermediate hedging techniques for traders, structerers and risk management quants. This book fills a gap for a technical but not impenetrable guide to hedging options, and the 'Greek' (Theta, Vega, Rho and Lambda) -parameters that represent the sensitivity of derivatives prices.

Introductory Course on Financial Mathematics

Author: M V Tretyakov

Publisher: World Scientific Publishing Company

ISBN: 190897740X

Category: Mathematics

Page: 276

View: 918


This book is an elementary introduction to the basic concepts of financial mathematics with a central focus on discrete models and an aim to demonstrate simple, but widely used, financial derivatives for managing market risks. Only a basic knowledge of probability, real analysis, ordinary differential equations, linear algebra and some common sense are required to understand the concepts considered in this book. Financial mathematics is an application of advanced mathematical and statistical methods to financial management and markets, with a main objective of quantifying and hedging risks. Since the book aims to present the basics of financial mathematics to the reader, only essential elements of probability and stochastic analysis are given to explain ideas concerning derivative pricing and hedging. To keep the reader intrigued and motivated, the book has a ‘sandwich’ structure: probability and stochastics are given in situ where mathematics can be readily illustrated by application to finance. The first part of the book introduces one of the main principles in finance — ‘no arbitrage pricing’. It also introduces main financial instruments such as forward and futures contracts, bonds and swaps, and options. The second part deals with pricing and hedging of European- and American-type options in the discrete-time setting. In addition, the concept of complete and incomplete markets is discussed. Elementary probability is briefly revised and discrete-time discrete-space stochastic processes used in financial modelling are considered. The third part introduces the Wiener process, Ito integrals and stochastic differential equations, but its main focus is the famous Black–Scholes formula for pricing European options. Some guidance for further study within this exciting and rapidly changing field is given in the concluding chapter. There are approximately 100 exercises interspersed throughout the book, and solutions for most problems are provided in the appendices.

Computational Finance Using C and C#

Author: George Levy

Publisher: Academic Press

ISBN: 9780080878072

Category: Business & Economics

Page: 384

View: 1095


Computational Finance Using C and C# raises computational finance to the next level using the languages of both standard C and C#. The inclusion of both these languages enables readers to match their use of the book to their firm’s internal software and code requirements. The book also provides derivatives pricing information for equity derivates (vanilla options, quantos, generic equity basket options); interest rate derivatives (FRAs, swaps, quantos); foreign exchange derivatives (FX forwards, FX options); and credit derivatives (credit default swaps, defaultable bonds, total return swaps). This book is organized into 8 chapters, beginning with an overview of financial derivatives followed by an introduction to stochastic processes. The discussion then shifts to generation of random variates; European options; single asset American options; multi-asset options; other financial derivatives; and C# portfolio pricing application. The text is supported by a multi-tier website which enables purchasers of the book to download free software, which includes executable files, configuration files, and results files. With these files the user can run the C# portfolio pricing application and change the portfolio composition and the attributes of the deals. This book will be of interest to financial engineers and analysts as well as numerical analysts in banking, insurance, and corporate finance. Illustrates the use of C# design patterns, including dictionaries, abstract classes, and .NET InteropServices.

C++ for Financial Mathematics

Author: John Armstrong

Publisher: CRC Press

ISBN: 1498750079

Category: Business & Economics

Page: 410

View: 3886


If you know a little bit about financial mathematics but don’t yet know a lot about programming, then C++ for Financial Mathematics is for you. C++ is an essential skill for many jobs in quantitative finance, but learning it can be a daunting prospect. This book gathers together everything you need to know to price derivatives in C++ without unnecessary complexities or technicalities. It leads the reader step-by-step from programming novice to writing a sophisticated and flexible financial mathematics library. At every step, each new idea is motivated and illustrated with concrete financial examples. As employers understand, there is more to programming than knowing a computer language. As well as covering the core language features of C++, this book teaches the skills needed to write truly high quality software. These include topics such as unit tests, debugging, design patterns and data structures. The book teaches everything you need to know to solve realistic financial problems in C++. It can be used for self-study or as a textbook for an advanced undergraduate or master’s level course.