This popular text, publishing Spring 1999 in its Second Edition, introduces the mathematics underlying the pricing of derivatives. The increase of interest in dynamic pricing models stems from their applicability to practical situations: with the freeing of exchange, interest rates, and capital controls, the market for derivative products has matured and pricing models have become more accurate. Professor Neftci's book answers the need for a resource targeting professionals, Ph.D. students, and advanced MBA students who are specifically interested in these financial products. The Second Edition is designed to make the book the main text in first year masters and Ph.D. programs for certain courses, and will continue to be an important manual for market professionals.
Students in master's or Ph.D. programs, market professionals, and professionals with mathematical, technical, or physics backgrounds.
Financial Derivatives: A Brief Introduction. A Primer on Arbitrage Theorem. Calculus in Deterministic and Stochastic Environments. Pricing Derivatives: Models and Notation. Tools in Probability Theory. Martingales and Martingale Representations. Differentiation in Stochastic Environments. The Wiener Process and Rare Events in Financial Markets. Integration in Stochastic Environments: The Ito Integral. Ito's Lemma. The Dynamics of Derivative Prices: Stochastic Differential Equations. Pricing Derivative Products: Partial Differential Equations. The Black-Scholes PDE: An Application. Pricing Derivative Products: Equivalent Martingale Measures. Equivalent Martingale Measures: Applications. New Results and Tools for Interest Sensitive Securities. Arbitrage Theorem in a New Setting: Normalization and Random Interest Rates. Modeling Term Structure and Related Concepts. Classical and HJM Approaches to Fixed Income. Classical PDE Analysis for Interest Rate Derivatives. Relating Conditional Expectations to PDEs. Stopping Times and American-Type Securities. Bibliography. Index.
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PRAISE FOR THE FIRST EDITION: "An excellent treatment of the mathematics underlying the pricing of derivatives." JOHN HULL, University of Toronto "This book will be a major convenience to derivatives traders, risk managers, and other users and developers of derivatives models. It greatly reduces the cost of entry into the mathematical world of valuation, hedging, and risk measurement for derivatives positions." J. DARRELL DUFFIE, Stanford University PRAISE FOR THE SECOND EDITION: "As an introduction to the mathematics underlying the pricing of derivatives, the book succeeds admirably." JOURNAL OF ECONOMIC LITERATURE "This book is a self-contained first step into mathematical finance, and it covers the fundamentals of the topic beautifully. The conclusions and references at the end of each chapter are very useful. The former provides a broad picture of each chapter's content. The latter offer invaluable links for those who would like a more detailed discussion..." SIAM Review (Society for Industrial and Applied Mathematics)