The Mathematics of Financial Derivatives: A Student Introduction
Finance is one of the fastest growing areas in the modern banking and corporate world. This, together with the sophistication of modern financial products, provides a rapidly growing impetus for new mathematical models and modern mathematical methods. Indeed, the area is an expanding source for novel and relevant "real-world" mathematics. In this book, the authors describe the modeling of financial derivative products from an applied mathematician's viewpoint, from modeling to analysis to elementary computation. The authors present a unified approach to modeling derivative products as partial differential equations, using numerical solutions where appropriate. The authors assume some mathematical background, but provide clear explanations for material beyond elementary calculus, probability, and algebra. This volume will become the standard introduction for advanced undergraduate students to this exciting new field.
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An Introduction to Options and Markets
Asset Price Random Walks
The BlackScholes Model
Partial Differential Equations
The BlackScholes Formulae
Variations on the BlackScholes Model
A Unifying Framework for Pathdependent Options
Options with Transaction Costs
Interest Rate Derivatives
Hints to Selected Exercises
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