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Mathematical Models of Financial Derivatives

By: Kwok, Yue-Kuen [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Springer Finance: Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.Edition: 2.Description: XV, 530 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783540686880.Subject(s): Mathematics | Finance | Applied mathematics | Engineering mathematics | Economics, Mathematical | Mathematical models | Probabilities | Public finance | Mathematics | Mathematical Modeling and Industrial Mathematics | Public Economics | Quantitative Finance | Finance, general | Applications of Mathematics | Probability Theory and Stochastic ProcessesDDC classification: 003.3 Online resources: Click here to access online
Contents:
to Derivative Instruments -- Financial Economics and Stochastic Calculus -- Option Pricing Models: Black–Scholes–Merton Formulation and Martingale Pricing Theory -- Path Dependent Options -- American Options -- Numerical Schemes for Pricing Options -- Interest Rate Models and Bond Pricing -- Interest Rate Derivatives: Bond Options, LIBOR and Swap Products.
In: Springer eBooksSummary: 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-time framework. 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.
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Item type Current location Call number Status Date due Barcode Item holds
E books E books PK Kelkar Library, IIT Kanpur
Available EBK10365
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to Derivative Instruments -- Financial Economics and Stochastic Calculus -- Option Pricing Models: Black–Scholes–Merton Formulation and Martingale Pricing Theory -- Path Dependent Options -- American Options -- Numerical Schemes for Pricing Options -- Interest Rate Models and Bond Pricing -- Interest Rate Derivatives: Bond Options, LIBOR and Swap Products.

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-time framework. 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.

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