Mathematical Models of Financial Derivatives
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Beschreibung
Mathematical Models of Financial Derivatives is a textbook on the theory behind modeling derivatives using the financial engineering approach, focussing on the martingale pricing principles that are common to most derivative securities. A wide range of financial derivatives commonly traded in the equity and fixed income markets are
analyzed, emphasizing on the aspects of pricing, hedging and their risk management. Starting from the renowned Black-Scholes-Merton formulation of option pricing model, readers are guided through the text on the new advances on the state-of-the-art derivative pricing models and interest rate models. Both analytic techniques and numerical methods for solving various types of derivative pricing models are emphasized.
The second edition presents a substantial revision of the first edition. The continuous-time martingale pricing theory is motivated through analysis of the underlying financial economics principles within a discrete-timeframework. A large collection of closed-form formulas of various forms of exotic equity and fixed income derivatives are documented. The most recent research results and methodologies are made accessible to readers through the extensive set of exercises at the end of each chapter.
Yue-Kuen Kwok is Professor of Mathematics at Hong Kong University of Science and Technology. He is the author of over 80 research papers and several books, including Applied Complex Variables. He is an associate editor of Journal of Economic Dynamics and Control and Asia-Pacific Financial Markets.
This book contains a comprehensive account of pricing models of financial derivatives, including exotic equity options, interest rate products and credit derivatives. It presents a self-contained treatment of risk neutral valuation theory, martingale measure, and tools in stochastic calculus required for the understanding of option pricing theory. Derivative pricing models are solved using various approaches, by martingale pricing theory and partial differential equation method. This text is targeted for students in mathematical finance. It also serves as a good reference for quantitative analysts and derivative traders in investment banks. Research results and concepts are made accessible to the reader through extensive set of exercises.
Was one of the earliest introductory textbooks in mathematical finance Good reputation established by the 1st edition Includes supplementary material: sn.pub/extras
Autor*in
Yue-Kuen Kwok
Themen in »Mathematical Models of Financial Derivatives«
Credit Derivatives Financial derivatives Hedging Investment JEL: G12, G13 Stochastic calculus exotic options interest rate models martingale pricing mathematical finance optimal stopping models quantitative finance
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From the reviews of the second edition:
"Mathematical Models of Financial Derivatives is a … comprehensive collection of known facts and techniques, as well as a methodologically thought-through textbook on derivative pricing in financial markets. The book is written both for a novice who will profit from its numerous and well-conceived exercises, and a practitioner who wants to brush up on finer points of the classical pricing theory behind a specific financial product. … it will certainly attract many a non-mathematician with an interest in quantitative methods in finance … ." (Gordan Žitkovic, The Mathematical Association of America, March, 2009)
"This book is written mainly as a textbook of modeling on derivative pricing theory for the students in financial engineering, computational finance etc. It provides basic knowledge of mathematical theory and applications of the financial derivatives. … This book can also be used as an Instructor’s Manual of reference of those in financial institutions." (Gong Guanglu, Zentralblatt MATH, Vol. 1146, 2008)
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