A reading guide for last passage times with financial applications in view |
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Authors: | Ashkan Nikeghbali Eckhard Platen |
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Affiliation: | 1. Institut für Mathematik, Universit?t Zürich, Winterthurerstrasse 190, 8057, Zürich, Switzerland 2. Department of Banking and Finance, Universit?t Zürich, Plattenstrasse 14, 8032, Zürich, Switzerland 3. Finance Discipline Group and School of Mathematical Sciences, University of Technology Sydney, PO Box 123, Broadway, NSW 2007, Australia
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Abstract: | In this survey on last passage times, we propose a new viewpoint which provides a unified approach to many different results which appear in the mathematical finance literature and in the theory of stochastic processes. In particular, we are able to improve the assumptions under which some well-known results are usually stated. Moreover we give some new and detailed calculations for the computation of the distribution of some large classes of last passage times. We have kept in this survey only the aspects of the theory which we expect potentially to be relevant for financial applications. |
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