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Title: Renewal equations for option pricing
Author: Montero Torralbo, Miquel
Keywords: Rutes aleatòries (Matemàtica)
Processos estocàstics
Random walks (Mathematics)
Stochastic processes
Issue Date: 2008
Publisher: Springer Verlag
Abstract: In this paper we will develop a methodology for obtaining pricing expressions for financial instruments whose underlying asset can be described through a simple continuous-time random walk (CTRW) market model. Our approach is very natural to the issue because it is based in the use of renewal equations, and therefore it enhances the potential use of CTRW techniques in finance. We solve these equations for typical contract specifications, in a particular but exemplifying case. We also show how a formal general solution can be found for more exotic derivatives, and we compare prices for alternative models of the underlying. Finally, we recover the celebrated results for the Wiener process under certain limits.
Note: Versió postprint del document publicat a:
It is part of: European Physical Journal B, 2008, vol. 65, num. 2, p. 295-306
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ISSN: 1434-6028
Appears in Collections:Articles publicats en revistes (Física de la Matèria Condensada)

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