Partial differential equations -- Elements of the theory of the Stochastic processes -- Partial differential equation in the consumer theory -- Partial differential equations in the producer theory -- Partial differential equations and pricing of the financial -- Derivatives -- A theory of...

This book presents a factor-based model of the stochastic evolution of the implied volatility surface. The model allows for the integrated and consistent pricing and hedging, risk management, and trading of equity index derivatives as well as volatility derivatives. In the first part, the book...