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An introduction to the mathematics of financial derivatives /

An Introduction to the Mathematics of Financial Derivatives is a popular, intuitive text that eases the transition between basic summaries of financial engineering to more advanced treatments using stochastic calculus. Requiring only a basic knowledge of calculus and probability, it takes readers on...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Hirsa, Ali (Editor ), Neftci, Salih N. (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam : Academic Press, 2014.
Edición:Third edition.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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, L�evy processes, and rare events in financial markets
  • Integration in stochastic environments
  • It�o'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.