Introduction to financial mathematics : with computer applications

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書誌事項

Introduction to financial mathematics : with computer applications

Donald R. Chambers, Qin Lu

(Textbooks in mathematics)

CRC Press, 2021

  • : hbk

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内容説明・目次

内容説明

This book's primary objective is to educate aspiring finance professionals about mathematics and computation in the context of financial derivatives. The authors offer a balance of traditional coverage and technology to fill the void between highly mathematical books and broad finance books. The focus of this book is twofold: To partner mathematics with corresponding intuition rather than diving so deeply into the mathematics that the material is inaccessible to many readers. To build reader intuition, understanding and confidence through three types of computer applications that help the reader understand the mathematics of the models. Unlike many books on financial derivatives requiring stochastic calculus, this book presents the fundamental theories based on only undergraduate probability knowledge. A key feature of this book is its focus on applying models in three programming languages -R, Mathematica and EXCEL. Each of the three approaches offers unique advantages. The computer applications are carefully introduced and require little prior programming background. The financial derivative models that are included in this book are virtually identical to those covered in the top financial professional certificate programs in finance. The overlap of financial models between these programs and this book is broad and deep.

目次

Contents Preface to the Instructor ......................................................................................xv Preface to the Student.........................................................................................xix Acknowledgments...............................................................................................xxi About the Authors ........................................................................................... xxiii 1. Introduction to Financial Derivatives and Valuation ...........................................1 2. Introduction to Interest Rates, Bonds, and Equities............................................63 3. Fundamentals of Financial Derivative Pricing ....................................................111 4. More about Derivative Pricing .........................................................................211 5. Risk Management and Hedging Strategies .......................................................263 6. Portfolio Management .....................................................................................351 7. Interest Rate Derivatives Modeling and Risk Management in the HJM Framework...................................................................407 8. Credit Risk and Credit Derivatives....................................................................471 Index ..................................................................................................................549

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