You-Lan Zhu, Xiaonan Wu, I-Liang Chern

Derivative Securities and Difference Methods (eBook, PDF)

• Format: PDF

Produktbeschreibung

This book is devoted to determining the prices of financial derivatives using a partial differential equation approach. In the first part the authors describe the formulation of the problems (including related free-boundary problems) and derive the closed form solutions if they have been found. The second part discusses how to obtain their numerical solutions efficiently for both European-style and American-style derivatives and for both stock options and interest rate derivatives. The numerical methods discussed are finite-difference methods. The book also discusses how to determine the coefficients in the partial differential equations.

The aim of the book is to provide readers who have some code writing experience for engineering computations with the skills to develop efficient derivative-pricing codes. The book includes exercises throughout and will appeal to students and researchers in quantitative finance as well as practitioners in the financial industry and code developers.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 513
• Erscheinungstermin: 9. März 2013
• Englisch
• ISBN-13: 9781475739381
• Artikelnr.: 44053723

Autorenporträt

You-Lan Zhu is a Professor of Mathematics at the University of North Carolina at Charlotte. Xiaonan Wu is a Professor of Mathematics at Hong Kong Baptist University. I-Liang Chern is a Professor of Mathematics at National Taiwan University. Zhi-zhong Sun is a Professor of Mathematics at Southeast University.

Inhaltsangabe

Introduction.- European Style Derivatives.- American Style Derivatives.- Exotic Options.- Interest Rate Derivative Securities.- Basic Numerical Methods.- Finite Difference Methods.- Initial-Boundary Value and LC Problems.- Free-Boundary Problems.- Interest Rate Modeling.

Rezensionen

"It is mainly devoted to finite difference methods, and it is intended for researchers as well as graduate students. It is the most complete and useful book on the subject I have seen. ... Derivative Securities and Difference Methods is a really good book that anyone studying or working in this field should own." (Anita Mayo, SIAM Review, Vol. 57 (1), March, 2015)

"This book is devoted to pricing financial derivatives with a partial differential equation approach. It has two parts, each with four chapters. ... The book covers a variety of topics in finance, such as forward and futures contracts, the Black-Scholes model, European and American type options, free boundary problems, barrier options, lookback options, multi-asset options, interest rate models, interest rate derivatives, swaps, swaptions, caps, floors, and collars. The treatment is mathematically rigorous. There are exercises at the end of each chapter." (Elias Shiu, Zentralblatt MATH, Vol. 1061 (12), 2005)

"This book is mainly devoted to finite difference numerical methods for solving partial differential equations (PDEs) models of pricing a wide variety of financial derivative securities... the book is highly well designed and structured as a textbook for graduate students following a mathematical finance program, which includes Black-Scholes dynamic hedging methodology to price financial derivatives. Also, it is a very valuable reference for those researchers working in numerical methods in financial derivatives, either with a more financial or mathematical background." -- MATHEMATICAL REVIEWS

From the reviews: "This book is mainly devoted to finite difference numerical methods for solving partial differential equations (PDEs) models of pricing a wide variety of financial derivative securities... the book is highly well designed and structured as a textbook for graduate students following a mathematical finance program, which includes Black-Scholes dynamic hedging methodology to price financial derivatives. Also, it is a very valuable reference for those researchers working in numerical methods in financial derivatives, either with a more financial or mathematical background." -- MATHEMATICAL REVIEWS "This book is devoted to pricing financial derivatives with a partial differential equation approach. It has two parts, each with four chapters. ... The book covers a variety of topics in finance, such as forward and futures contracts, the Black-Scholes model, European and American type options, free boundary problems, barrier options, lookback options, multi-asset options, interest rate models, interest rate derivatives, swaps, swaptions, caps, floors, and collars. The treatment is mathematically rigorous. There are exercises at the end of each chapter." (Elias Shiu, Zentralblatt MATH, Vol. 1061 (12), 2005)