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Alonso Peña Ph.D. - Advanced Quantitative Finance with C++

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Alonso Peña Ph.D. Advanced Quantitative Finance with C++
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Create and implement mathematical models in C++ using Quantitative FinanceAbout This Book

  • Describes the key mathematical models used for price equity, currency, interest rates, and credit derivatives

  • The complex models are explained step-by-step along with a flow chart of every implementation

  • Illustrates each asset class with fully solved C++ examples, both basic and advanced, that support and complement the text

Who This Book Is For

If you are a quantitative analyst, risk manager, actuary, or a professional working in the field of quantitative finance and want a quick hands-on introduction to the pricing of financial derivatives, this book is ideal for you. You should be familiar with the basic programming concepts and C++ programming language. You should also be acquainted with calculus of undergraduate level.

What You Will Learn

  • Solve complex pricing problems in financial derivatives using a structured approach with the Bento Box template

  • Explore some key numerical methods including binomial trees, finite differences, and Monte Carlo simulation

  • Develop your understanding of equity, forex, interest rate, and credit derivatives through concrete examples

  • Implement simple and complex derivative instruments in C++

  • Discover the most important mathematical models used in quantitative finance today to price derivative instruments

  • Effectively Incorporate object oriented programming (OOP) principles into the code

In Detail

This book will introduce you to the key mathematical models used to price financial derivatives, as well as the implementation of main numerical models used to solve them. In particular, equity, currency, interest rates, and credit derivatives are discussed. In the first part of the book, the main mathematical models used in the world of financial derivatives are discussed. Next, the numerical methods used to solve the mathematical models are presented. Finally, both the mathematical models and the numerical methods are used to solve some concrete problems in equity, forex, interest rate, and credit derivatives.


The models used include the Black-Scholes and Garman-Kohlhagen models, the LIBOR market model, structural and intensity credit models. The numerical methods described are Monte Carlo simulation (for single and multiple assets), Binomial Trees, and Finite Difference Methods. You will find implementation of concrete problems including European Call, Equity Basket, Currency European Call, FX Barrier Option, Interest Rate Swap, Bankruptcy, and Credit Default Swap in C++.

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Advanced Quantitative Finance with C++

Table of Contents
Advanced Quantitative Finance with C++

Advanced Quantitative Finance with C++

Copyright 2014 Packt Publishing

All rights reserved. No part of this book may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, without the prior written permission of the publisher, except in the case of brief quotations embedded in critical articles or reviews.

Every effort has been made in the preparation of this book to ensure the accuracy of the information presented. However, the information contained in this book is sold without warranty, either express or implied. Neither the author, nor Packt Publishing, and its dealers and distributors will be held liable for any damages caused or alleged to be caused directly or indirectly by this book.

Packt Publishing has endeavored to provide trademark information about all of the companies and products mentioned in this book by the appropriate use of capitals. However, Packt Publishing cannot guarantee the accuracy of this information.

First published: June 2014

Production reference: 1180614

Published by Packt Publishing Ltd.

Livery Place

35 Livery Street

Birmingham B3 2PB, UK.

ISBN 978-1-78216-722-8

www.packtpub.com

Cover image by VTR Ravi Kumar (<>)

Credits

Author

Alonso Pea, Ph.D.

Reviewers

Marco Airoldi

Joseph Smidt

Commissioning Editor

Grant Mizen

Acquisition Editor

Harsha Bharwani

Content Development Editor

Amit Ghodake

Technical Editor

Humera Shaikh

Copy Editor

Laxmi Subramanian

Project Coordinator

Harshal Ved

Proofreader

Clyde Jenkins

Graphics

Sheetal Aute

Ronak Dhruv

Valentina Dsilva

Disha Haria

Abhinash Sahu

Indexer

Hemangini Bari

Production Coordinator

Kyle Albuquerque

Cover Work

Nilesh Bambardekar

About the Author

Alonso Pea, Ph.D. is an SDA Professor at the SDA Bocconi School of Management in Milan. He has worked as a quantitative analyst in the structured products group for Thomson Reuters Risk and for Unicredit Group in London and Milan. He holds a Ph.D. degree from the University of Cambridge on Finite Element Analysis and the Certificate in Quantitative Finance (CQF) from 7city Learning, the U.K. He has lectured and supervised graduate and post-graduate students from the universities of Oxford, Cambridge, Bocconi, Bergamo, Pavia, Castellanza, and the Politecnico di Milano. His area of expertise is the pricing of financial derivatives, in particular, structured products.

He has publications in the fields of Quantitative Finance, applied mathematics, neuroscience, and the history of science. He has been awarded the Robert J. Melosh Medalfirst prize for the best student paper on Finite Element Analysis, Duke University, USA; and the Rouse Ball Travelling Studentship in Mathematics, Trinity College, Cambridge. He has been to the Santa Fe Institute, USA, to study complex systems in social sciences.

His publications include the following:

  • The One Factor Libor Market Model Using Monte Carlo Simulation: An Empirical Investigation
  • On the Role of Behavioral Finance in the Pricing of Financial Derivatives: The Case of the S&P 500
  • Option Pricing with Radial Basis Functions: A Tutorial
  • Application of extrapolation processes to the finite element method
  • On the Role of Mathematical Biology in Contemporary Historiography

He is currently working as a tutor for CQF (Fitch Learning) and a visiting faculty for the Indian Institute for Quantitative Finance, Mumbai.

He lives in Italy with his wife Marcella, his daughters Francesca and Isabel, and his son Marco.

Acknowledgments

I would like to thank many people who have made this book a reality. First the magnificent support, enthusiasm, and patience of the entire team at Packt Publishing, particularly Harsha, Amit, Humera, and Harshal. To Dr. Pattabi Raman (Numerical Solution (U.K.) Ltd.), for his expert advice on C++. To Dr. Marco Airoldi for his knowledgeable and detailed review of the book. To the SDA Bocconi School of Management including my colleagues and students from the MBA, graduate, and undergraduate courses. To the many persons I have been privileged to work with and to teach from the Universities of Cambridge, Oxford, Bocconi, LIUC Castellanza, Bergamo, Pavia, and Politecnico di Milano. The many extraordinary quants from the Certificate in Quantitative Finance, Fitch Learning, London, as well as from Unicredit Group and Thomson Reuters. Finally, to my wife, Marcella, and my children, Francesca, Isabel, and Marcoyou all always remind me that "The true voyage of discovery consists not in seeking new landscapes but in having new eyes to see" (Marcel Proust).

About the Reviewer

Marco Airoldi received his Ph.D. in Theoretical Condensed Matter Physics in 1995 from the International School for Advanced Studies (SISSA). He moved definitively to finance in 1999. Marco has been chosen as the head of financial engineering in one of the top financial institutions in Italy.

His expertise includes the Monte Carlo simulation for option pricing and pricing system architectures.

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Preface

Quantitative Finance is a highly complex interdisciplinary field, which covers mathematics, finance, and information technology. Navigating it successfully requires specialist knowledge from many sources, such as financial derivatives, stochastic calculus, and Monte Carlo simulation. Crucially, it also requires a hands-on ability to transform theory into practice effectively.

In Advanced Quantitative Finance with C++ , we provide a guided tour through this exciting field. The key mathematical models used to price financial derivatives are explained as well as the main numerical models used to solve them. In particular, equity, currency, interest rates, and credit derivatives are discussed. The book also presents how to implement these models in C++ step by step. Several fully working, complete examples are given that can be immediately tested by the reader to support and complement their learning.

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