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Financial mathematics : a comprehensive treatment /

Versatile for Several Interrelated Courses at the Undergraduate and Graduate Levels. Financial Mathematics: A Comprehensive Treatment provides a unified, self-contained account of the main theory and application of methods behind modern-day financial mathematics. Tested and refined through years of...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Campolieti, Giuseppe (Mathematics professor)
Otros Autores: Makarov, Roman N.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boca Raton, FL : CRC Press, 2013.
Colección:Chapman & Hall/CRC financial mathematics series.
Temas:
Acceso en línea:Texto completo (Requiere registro previo con correo institucional)
Tabla de Contenidos:
  • I. Introduction to pricing and management of financial securites: Mathematics of Compounding
  • Primer on Pricing Risky Securities
  • Portfolio Management
  • Primer on Derivative Securities
  • II. Discrete-time modeling: Single-Period Arrow-Debreu Models
  • Introduction to Discrete-Time Stochastic Calculus
  • Replication and Pricing in the Binomial Tree Model
  • General Multi-Asset Multi-Period Model
  • III. Continuous-time modeling: Essentials of General Probability Theory
  • One-Dimensional Brownian Motion and Related Processes
  • Introduction to Continuous-Time Stochastic Calculus
  • Risk-Neutral Pricing in the (B, S) Economy: One Underlying Stock
  • Risk-Neutral Pricing in a Multi-Asset Economy
  • American Options
  • Interest-Rate Modelling and Derivative Pricing
  • Alternative Models of Asset Price Dynamics
  • IV. Computational Techniques
  • Introduction to Monte Carlo and Simulation Methods
  • Numerical Applications to Derivative Pricing.