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Presents techniques that originate from practical problems and that address real requirements. This book introduces the standard lognormal flat BGM and then discusses shifted versions of BGM, including stochastic volatility version. It covers topics such as simulation, time slicing, pricing, delta hedging, vega hedging, and callable exotics.
Introduces the author's various approaches and their impact on Libor modelling and derivative pricing. This book discusses economically sensible parametrisations of the Libor market model, stability issues connected to direct least-squares calibration methods, European and Bermudan style exotics pricing, and lognormal approximations.
Incorporates the application background of finance and insurance with the theory and applications of Monte Carlo methods. This book presents the methods and algorithms, including the multilevel Monte Carlo method, the statistical Romberg method, and the Heath-Platen estimator, as well as financial and actuarial models.
Illustrating mathematical models for structured credit with practical examples, this book presents an introduction to the foundations of structured credit portfolio modeling. It features material on estimation of asset correlations, and benchmark correlations based on securitizations of benchmark portfolios in the market.
Presents an overview of financials models based on jump processes used in risk management and option pricing. After presenting the necessary mathematics, this text presents theoretical, numerical and empirical issues.
Suitable for students of mathematical finance, or a quick introduction to researchers and finance practitioners. This book covers the stochastic calculus theory required, as well as many key finance topics, including a chapter dedicated to credit risk modeling.
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