This book provides an overview of the theory of pricing financial derivatives and presents finite difference methods for numerically approximating derivative prices.
Klappentext
This book studies pricing financial derivatives with a partial differential equation approach. The treatment is mathematically rigorous and covers a variety of topics in finance including forward and futures contracts, the Black-Scholes model, European and American type options, free boundary problems, lookback options, interest rate models, interest rate derivatives, swaps, caps, floors, and collars. Each chapter concludes with exercises.
Inhalt
Part I - Partial Differential Equations in Finance * Introduction * Basic Options * Exotic Options * Interest Rate Derivative Securities * Part II - Numerical Methods for Derivative Securities * Basic Numerical Methods * Initial-Boundary Value and LC Problems * Free Boundary Problems * Interest Rate Modeling * References * Index