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Non-Gaussian Merton-Black-Scholes theory
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ISBN: 9810249446 9812777482 9789812777485 9789810249441 Year: 2002 Publisher: Singapore River Edge, NJ World Scientific

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Abstract

This book introduces an analytically tractable and computationally effective class of non-Gaussian models for shocks (regular Lévy processes of the exponential type) and related analytical methods similar to the initial Merton-Black-Scholes approach, which the authors call the Merton-Black-Scholes theory. The authors have chosen applications interesting for financial engineers and specialists in financial economics, real options, and partial differential equations (especially pseudodifferential operators); specialists in stochastic processes will benefit from the use of the pseudodifferentia


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Irreversible decisions under uncertainty : optimal stopping made easy
Authors: ---
ISBN: 9783540737469 9783540737452 3540737456 3642092934 9786611045722 1281045721 3540737464 Year: 2007 Publisher: New York : Springer,

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Abstract

In real life, as well as in economic models, individuals often make decisions in an uncertain environment. In many cases, a problem which an optimizing agent faces can be formulated or reformulated as a problem of optimal timing of a certain irreversible or partially reversible action or optimal stopping problem. In this book, the authors present an alternative approach to optimal stopping problems. The basic ideas and techniques of the approach can be explained much simpler than the standard methods in the literature on optimal stopping problems. The monograph will teach the reader to apply the technique to many problems in economics and finance, including new ones. From the technical point of view, the method can be characterized as option pricing via the Wiener-Hopf factorization.

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