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Finite Difference Methods In Financial Engineering

The world of quantitative finance (QF) is one of the fastest growing areas of research apparel free price product sports and its practical applications to derivatives pricing problem. Since the discovery of the famous Black-Scholes equation in the 1970`s we have seen a surge in the number of models for a wide range of products such as plain apparel free price product sports and exotic options, interest rate derivatives, real options apparel free price product sports and many others. Gone are the days when it was possible to price these derivatives analytically. For most problems we must resort to some kind of approximate method. In this book we employ partial differential equations (PDE) to describe a range of one-factor apparel free price product sports and multi-factor derivatives products such as plain European apparel free price product sports and American options, multi-asset options, Asian options, interest rate options apparel free price product sports and real options. PDE techniques allow us to create a framework for modeling complex apparel free price product sports and interesting derivatives products. Having defined the PDE problem we then approximate it using the Finite Difference Method (FDM). This method has been used for many application areas such as fluid dynamics, heat transfer, semiconductor simulation apparel free price product sports and astrophysics, to name just a few. In this book we apply the same techniques to pricing real-life derivative products. We use both traditional (or well-known) methods as well as a number of advanced schemes that are making their way into the QF literature: * Crank-Nicolson, exponentially fitted apparel free price product sports and higher-order schemes for one-factor apparel free price product sports and multi-factor options * Early exercise features apparel free price product sports and approximation using front-fixing, penalty apparel free price product sports and variational methods * Modelling stochastic volatility models using Splitting methods * Critique of ADI apparel free price product sports and Crank-Nicolson schemes; when they work apparel free price product sports and when they don`t work * Modelling jumps using Partial Integro Differential Equations (PIDE) * Free apparel free price product sports and moving boundary value problems in QF Included with the book is a CD containing information on how to set up FDM algorithms, how to map these algorithm Copyright (C) Muze Inc. 2005. For persona
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Price floor - A Price floor is a government-imposed limit on how low a price can be charged for a product. For a price floor to be effective, it must differ from the free market price.

Price ceiling - A Price Ceiling is a government-imposed limit on how high a price can be charged on a product. For a price ceiling to be effective, it must differ from the free market price.

Free product - In abstract algebra, the free product of groups constructs a group from two or more given ones. Given for example groups G and H, the free product G*H could be constructed in this way: given presentations of G and of H, take the generators of G and of H, take the disjoint union of those, add the corresponding relations for G and for H.

Free agent - In North American professional sports, particularly baseball, football, and basketball, a free agent is a team player whose contract with a team has expired, and the player is able to sign a contract with another team. The term came into wide use after sports leagues stopped using a "reserve clause", whereby a player either signed a new contract with the same team or could quit the league.

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