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.

Autorentext

Yue-Kuen Kwok is Professor and Program Director of MSc in Mathematics (Financial Mathematics and Statistics) at the Department of Mathematics of Hong Kong University of Science and Technology

Klappentext

This second edition, now featuring new material, focuses on the valuation principles that are common to most derivative securities. A wide range of financial derivatives commonly traded in the equity and fixed income markets are analysed, emphasising aspects of pricing, hedging and practical usage. This second edition features additional emphasis on the discussion of Ito calculus and Girsanovs Theorem, and the risk-neutral measure and equivalent martingale pricing approach. A new chapter on credit risk models and pricing of credit derivatives has been added. Up-to-date research results are provided by many useful exercises.

Inhalt

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.