Derivatives: The Theory and Practice of Financial EngineeringDerivatives by Paul Wilmott provides the most comprehensive and accessible analysis of the art of science in financial modeling available. Wilmott explains and challenges many of the tried and tested models while at the same time offering the reader many new and previously unpublished ideas and techniques. Paul Wilmott has produced a compelling and essential new work in this field. The basics of the established theories-such as stochastic calculus, Black-Scholes, binomial trees and interest-rate models-are covered in clear and precise detail, but Derivatives goes much further. Complex models-such as path dependency, non-probabilistic models, static hedging and quasi-Monte Carlo methods-are introduced and explained to a highly sophisticated level. But theory in itself is not enough, an understanding of the role the techniques play in the daily world of finance is also examined through the use of spreadsheets, examples and the inclusion of Visual Basic programs. The book is divided into six parts: Part One: acts as an introduction and explanation of the fundamentals of derivatives theory and practice, dealing with the equity, commodity and currency worlds. Part Two: takes the mathematics of Part One to a more complex level, introducing the concept of path dependency. Part Three: concerns extensions of the Black-Scholes world, both classic and modern. Part Four: deals with models for fixed-income products. Part Five: describes models for risk management and measurement. Part Six: delivers the numerical methods required for implementing the models described in the rest of the book. Derivatives also includes a CD containing a wide variety of implementation material related to the book in the form of spreadsheets and executable programs together with resource material such as demonstration software and relevant contributed articles. At all times the style remains readable and compelling making Derivatives the essential book on every finance shelf. |
Contents
Prolog | 1 |
Derivatives | 21 |
The Random Behavior of Assets | 45 |
Copyright | |
52 other sections not shown
Other editions - View all
Derivatives: The Theory and Practice of Financial Engineering Paul Wilmott No preview available - 1999 |
Derivatives: The Theory and Practice of Financial Engineering Paul Wilmott No preview available - 1998 |
Common terms and phrases
American options amount arbitrage as² asset price assume average barrier option Black-Scholes equation bond pricing boundary conditions calculate call option cashflows Chapter contract correlation coupon crash delta hedging depends derivative dividend drift early exercise example expiry final condition finite-difference forward rate curve gamma implied volatility interest rate model jump condition lognormal market price maturity method Monte Carlo nonlinear one-factor optimal option price option value parameters partial differential equation path-dependent payment payoff portfolio position present value pricing equation probability density function problem put option random walk risk of default risk-neutral satisfies shown in Figure simple simulation solution solve spot interest rate spot rate standard deviation static hedge stochastic differential equation strategy strike swap T₁ term timestep traded transaction costs two-factor underlying asset V₁ variable VNew Vold Vold(i worst-case yield curve zero zero-coupon bond δι