An Introduction to the Mathematics of Financial Derivatives ( 2 )

Publication series :2

Author: Neftci   Salih N.  

Publisher: Elsevier Science‎

Publication year: 2000

E-ISBN: 9780080478647

P-ISBN(Paperback): 9780125153928

P-ISBN(Hardback):  9780125153928

Subject: F0 Economics;F016 微观经济学;F2 Economic Planning and Management;F224 经济数学方法;F8 Finances;O29 applied mathematics

Language: ENG

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Description

An Introduction to the Mathematics of Financial Derivatives, Second Edition, introduces the mathematics underlying the pricing of derivatives.

The increased 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. This updated edition has six new chapters and chapter-concluding exercises, plus one thoroughly expanded chapter. The text answers the need for a resource targeting professionals, Ph.D. students, and advanced MBA students who are specifically interested in financial derivatives.

This edition is also designed to become 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 and professionals with mathematical, technical, or physics backgrounds.

Chapter

Cover

pp.:  1 – 2

Contents

pp.:  5 – 18

Introduction

pp.:  18 – 23

Preface to the Second Edition

pp.:  23 – 25

Chapter 2: A Primer on the Arbitrage Theorum

pp.:  37 – 69

Chapter 3: Calculus in Deterministic and Stochastic Environments

pp.:  69 – 101

Chapter 4: Pricing Derivatives: Models and Notation

pp.:  101 – 115

Chapter 5: Tools in Probability Theory

pp.:  115 – 143

Chapter 6: Martingales and Martingale Representations

pp.:  143 – 180

Chapter 7: Differentation in Stochastic Environments

pp.:  180 – 197

Chapter 8: The Weiner Process and Rare Events in Financial Markets

pp.:  197 – 228

Chapter 9: Integration in Stochastic Environments

pp.:  228 – 254

Chapter 10: Ito's Lemma

pp.:  254 – 276

Chapter 11: The Dynamics of Derivative Prices

pp.:  276 – 299

Chapter 12: Pricing Derivative Products

pp.:  299 – 320

Chapter 13: The Black-Scholes PDE

pp.:  320 – 336

Chapter 14: Pricing Derivative Products

pp.:  336 – 369

Chapter 15: Equivalent Martingale Measures

pp.:  369 – 392

Chapter 16: New Results and Tools for Interest-Sensitive Securities

pp.:  392 – 403

Chapter 17: Arbitrage Theorem in a New Setting: Normalization and Random Interest Rates

pp.:  403 – 431

Chapter 18: Modeling Term Structure and Related Concepts

pp.:  431 – 450

Chapter 19: Classical and HJM Approaches to Fixed Income

pp.:  450 – 475

Chapter 20: Classical PDE Analysis for Interest Rate Derivatives

pp.:  475 – 491

Chapter 21: Relating Conditional Expectations to PDEs

pp.:  491 – 513

Chapter 22: Stopping Times and American-Type Securities

pp.:  513 – 533

Bibliography

pp.:  533 – 536

Subject Index

pp.:  536 – 551

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