Titlebook: Risk-Neutral Valuation; Pricing and Hedging Nicholas H. Bingham,Rüdiger Kiesel Textbook 2004Latest edition Springer-Verlag London 2004 Ado

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1616-0533 isibility and Lévy processes · Lévy-based models in incomplete marketsFurther material such as exercises, solutions to exercises and lecture slides are also available via the web to provide additional support for lecturers. 978-1-84996-873-7978-1-4471-3856-3Series ISSN 1616-0533 Series E-ISSN 2195-0687

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Derivative Background,f fundamentals, as, e.g. in the so-called rational expectation model, or, more modestly, in a relative manner explaining the prices of some assets in terms of other given and observable asset prices. The second approach, which we adopt, is based on the concept of arbitrage. This remarkably simple co

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Mathematical Finance in Discrete Time,s. Following the approach of Harrison and Pliska (1981) and Taqqu and Willinger (1987), it suffices, to illustrate the ideas, to work with a finite probability space (., ., .), with a finite number |.| of points ., each with positive probability: ℙ({.}) > 0.

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Mathematical Finance in Continuous Time,ll serve also as a reference in the later chapters. A thorough discussion of the benchmark multi-dimensional Black-Scholes model is the topic of the second section. We discuss the valuation of several standard and exotic contingent claims in the continuous-time Black-Scholes model in the third secti

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Interest Rate Theory, continuous-time model (since the available tools from stochastic calculus allow an elegant presentation) and comment of the discrete-time analogue (Jarrow (1996) gives a splendid account of discrete-time models). As we want to develop a relative pricing theory, based on the no-arbitrage assumption,