An introduction to the mathematics of financial derivatives /
Hirsa, Ali,editor.
Neftci, Salih N.,editor.
Includes bibliographical references (pages 437-438) and index.
Financial derivatives--a brief introduction -- A primer on the arbitrage theorem -- Review of deterministic calculus -- Pricing derivatives : models and notation -- Tools in probability theory -- Martingales and Martingale representations -- Differentiation in stochastic environments -- The Wiener process, Lévy processes, and rare events in financial markets -- Integration in stochastic environments -- Itô's lemma -- The dynamics of derivative prices -- Pricing derivative products : partial differential equations -- PDEs and PIDEs--an application -- Pricing derivative products : equivalent Martingale measures -- Equivalent Martingale measures -- New results and tools for interest-sensitive securities -- Arbitrage theorem in a new setting -- Modeling term structure and related concepts -- Classical and HJM approach to fixed income -- Classical PDE analysis for interest rate derivatives -- Relating conditional expectations to PDEs -- Pricing derivatives via Fourier transform technique -- Credit spread and credit derivatives -- Stopping times and American-type securities -- Overview of calibration and estimation techniques.
Derivative securities