Computational Methods in Finance by Hirsa, Ali;

Short description:

Computational Methods in Finance is developed from the author?s courses at Columbia University and the Courant Institute of New York University. This text is designed for graduate students in financial engineering and mathematical finance as well as practitioners. It will help readers accurately price a vast array of derivatives.

Long description:

Computational Methods in Finance is a book developed from the author?s courses at Columbia University and the Courant Institute of New York University. This self-contained text is designed for graduate students in financial engineering and mathematical finance, as well as practitioners in the financial industry. It will help readers accurately price a vast array of derivatives.

This new edition has been thoroughly revised throughout to bring it up to date with recent developments. It features numerous new exercises and examples, as well as two entirely new chapters on machine learning.

Features

• Explains how to solve complex functional equations through numerical methods


• Includes dozens of challenging exercises


• Suitable as a graduate-level textbook for financial engineering and financial mathematics or as a professional resource for working quants

Praise for the Previous Edition

"The depth and breadth of this stand-alone textbook on computational methods in finance is astonishing. It brings together a full-spectrum of methods with many practical examples. ? the purpose of the book is to aid the understanding and solving of current problems in computational finance. ? an excellent synthesis of numerical methods needed for solving practical problems in finance. This book provides plenty of exercises and realistic case studies. Those who work through them will gain a deep understanding of the modern computational methods in finance. This uniquely comprehensive and well-written book will undoubtedly prove invaluable to many researchers and practitioners. In addition, it seems to be an excellent teaching book."
?Lasse Koskinen, International Statistical Review (2013), 81

"? there are several sections on topics that are rarely treated in textbooks: saddle point approximations, numerical solution of PIDEs, and others. There is also extensive material on model calibration, including interest rate models and filtering approaches. The book is a very comprehensive and useful reference for anyone, even with limited mathematical background, who wishes to quickly understand techniques from computational finance."
?Stefan Gerhold, Zentralblatt MATH 1260

"A natural polymath, the author is at once a teacher, a trader, a quant, and now an author of a book for the ages. The content reflects the author?s vast experience teaching master?s level courses at Columbia and NYU, while simultaneously researching and trading on quantitative finance in leading banks and hedge funds."
?Dr. Peter Carr, Global Head of Market Modeling, Morgan Stanley, and Executive Director of Masters in Math Finance, NYU Courant Institute of Mathematical Sciences

"A long-time expert in computational finance, Ali Hirsa brings his excellent expository skills to bear on not just one technique but the whole panoply, from finite difference solutions to PDEs/PIDEs through simulation to calibration and parameter estimation."
?Emanuel Derman, professor at Columbia University and author of Models Behaving Badly

Table of Contents:

Stochastic Processes and Risk-Neutral Pricing. Derivatives Pricing via Transform Techniques. Introduction to Finite Differences. Derivative Pricing via Numerical Solutions of PDEs. Derivative Pricing via Numerical Solutions of PIDEs. Credit Derivatives and Loan Models. Simulation Methods for Derivatives Pricing. Model Calibration. Filtering and Parameter Estimation.