An Introduction To The Mathematics Of Financial Derivatives by Ali Hirsa

An Introduction To The Mathematics Of Financial Derivatives

byAli Hirsa, Salih N. NeftciEditorAli Hirsa

Hardcover | December 12, 2013

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An Introduction to the Mathematics of Financial Derivativesis a popular, intuitive text that eases the transition between basic summaries of financial engineering to more advanced treatments using stochastic calculus. Requiring only a basic knowledge of calculus and probability, it takes readers on a tour of advanced financial engineering. This classic title has been revised by Ali Hirsa, who accentuates its well-known strengths while introducing new subjects, updating others, and bringing new continuity to the whole. Popular with readers because it emphasizes intuition and common sense,An Introduction to the Mathematics of Financial Derivativesremains the only "introductory" text that can appeal to people outside the mathematics and physics communities as it explains the hows and whys of practical finance problems.

  • Facilitates readers' understanding of underlying mathematical and theoretical models by presenting a mixture of theory and applications with hands-on learning
  • Presented intuitively, breaking up complex mathematics concepts into easily understood notions
  • Encourages use of discrete chapters as complementary readings on different topics, offering flexibility in learning and teaching

About The Author

Ali Hirsa is managing partner at Sauma Capital, LLC. Previously he was partner and head of analytical trading strategy at Caspian Capital Management, LLC. Prior to joining Caspian, Ali worked as a quant at Morgan Stanley, Banc of America Securities, and Prudential Securities. He is also an adjunct associate professor of financial engin...
Computational Methods in Finance
Computational Methods in Finance

by Ali Hirsa


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Details & Specs

Title:An Introduction To The Mathematics Of Financial DerivativesFormat:HardcoverDimensions:480 pages, 9.25 × 7.5 × 0.98 inPublished:December 12, 2013Publisher:Academic PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:012384682X

ISBN - 13:9780123846822

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Extra Content

Table of Contents

1: Financial Derivatives: A Brief Introduction

2: A Primer on Arbitrage Theorem

3: Review of Deterministic Calculus

4: Pricing Derivatives: Models and Notations

5: Tools in Probability Theory

6: Martingales and Martingale Representations

7: Wiener Process, Levy Processes, and Rare Events

8: Differentiation in Stochastic Environments

9: Integration in Stochastic Environments

10: Ito's Lemma

11: The dynamics of Derivatives Prices: Stochastic Differential

12: Pricing Derivatives Products via Partial Differential Equations

13: Equivalent Martingale Measures

14: Equivalent Martingale Measures: Applications

15: Arbitrage Theorem in a New Setting

16: Term Structure Modeling and Related Concepts

17: Approaches to Modeling Term Structure

18: Conditional Expectations and PDEs

19: Derivative Pricing via Transform Techniques

20: Credit Spread and Credit Derivatives

21: Stopping Times and American-Style Derivatives

22: A Primer on Calibration and Estimation Techniques

Editorial Reviews

"This text introduces quantitative tools used in pricing financial derivatives to those with basic knowledge of calculus and probability. It reviews basic derivative instruments, the arbitrage theorem, and deterministic calculus, and describes models and notation in pricing derivatives, tools in probability theory, martingales and martingale representations, differentiation in stochastic environments, the Wiener and Lévy processes and rare events in financial markets.", February 2014 "Ali Hirsa has done a superb job with this third edition of the very popular Neftci's An Introduction to the Mathematics of Financial Derivatives. New chapters and sections have been added covering in particular credit derivatives (Chapter 23) and jump processes and the associated partial integro-differential equations. The new material on numerical methods, in particular on Fourier techniques (Chapter 22) and calibration (Chapter 25), and added examples and exercises are very welcome. Overall, this new edition offers substantially more that the previous one in all of its chapters. This is a unique sophisticated introduction to financial mathematics accessible to a wide audience. Truly remarkable!"--Jean-Pierre Fouque, University of California, Santa Barbara "The publication of this expansive and erudite text in a new edition by one of the most highly respected scholars in the field should be a welcome event for practitioners and academics alike."--Lars Tyge Nielsen, Columbia University "There are many books on mathematics, probability, and stochastic calculus, but relatively few focus entirely on the pricing and hedging of financial derivatives.  I have used the second edition for finance and financial engineering classes for years, and will continue with the third edition; the book will no doubt remain a valuable reference for industry practitioners as well."--Robert L. Kimmel,  National University of Singapore "An excellent introduction to a wide range of topics in pricing financial derivatives with highly accessible mathematical treatment. Its heuristic style in explaining basic mathematical concepts relevant to financial markets greatly facilitates understanding the fundamentals of derivative pricing."--Seppo Pynnonen, Unversity of Vaasa "What makes this introductory text unique for students or practitioners without a major in mathematics or physics is that it provides the most helpful heuristics while clearly stating how or why the concepts are useful for practical problems in finance. The timely additions on credit derivatives and PDEs provide considerable value-added in comparison to the second edition."--Mishael Milakovic, University of Bamberg