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This book provides a first, basic introduction into the valuation of financial options via the numerical solution of partial differential equations (PDEs). The book provides a wealth of examples, and ample numerical experiments are givento illustrate the theory.

Such models are necessary to account for the volatility skew/smile and form the fundament for pricing and risk management of complex interest rate structures such as Constant Maturity Swap options. We consider three main classes namely short rate models, instantaneous forward rate models and market models.

A succinct book that provides readers with all they need to know about the equity derivatives business. It deals with vanilla equity products, their usage, structuring and their risk management. The author efficiently bridges the gap between theory and practice, constantly linking risk management tools with specific business objectives.

Smile Pricing Explained provides a clear and thorough explanation of the concepts of smile modelling that are at the forefront of modern derivatives pricing. The key models used in practice are covered, together with numerical techniques and calibration.

This is a succinct guide to the application and modelling of dependence models or copulas in the financial markets. First applied to credit risk modelling, copulas are now widely used across a range of derivatives transactions, asset pricing techniques and risk models and are a core part of the financial engineer's toolkit.

A practical guide to basic and intermediate hedging techniques for traders, structerers and risk management quants. This book fills a gap for a technical but not impenetrable guide to hedging options, and the 'Greek' (Theta, Vega, Rho and Lambda) -parameters that represent the sensitivity of derivatives prices.

This book provides the first practical guide to the function and implementation of algorithmic differentiation in finance. Written in a highly accessible way, Algorithmic Differentiation Explained will take readers through all the major applications of AD in the derivatives setting with a focus on implementation. Algorithmic Differentiation (AD) has been popular in engineering and computer science, in areas such as fluid dynamics and data assimilation for many years.  Over the last decade, it has been increasingly (and successfully) applied to financial risk management, where it provides an efficient way to obtain financial instrument price derivatives with respect to the data inputs. Calculating derivatives exposure across a portfolio is no simple task.  It requires many complex calculations and a large amount of computer power, which in prohibitively expensive and can be time consuming.  Algorithmic differentiation techniques can be very successfully in computing Greeks and sensitivities of a portfolio with machine precision. Written by a leading practitioner who works and programmes AD, it offers a practical analysis of all the major applications of AD in the derivatives setting and guides the reader towards implementation.  Open source code of the examples is provided with the book, with which readers can experiment and perform their own test scenarios without writing the related code themselves.

Aimed at practitioners who need to understand the current fixed income markets and learn the techniques necessary to master the fundamentals, this book provides a thorough but concise description of fixed income markets, looking at the business, products and structures and advanced modeling of interest rate instruments.