Article ID Journal Published Year Pages File Type
1156080 Stochastic Processes and their Applications 2010 17 Pages PDF
Abstract

The numéraire portfolio in a financial market is the unique positive wealth process that makes all other nonnegative wealth processes, when deflated by it, supermartingales. The numéraire portfolio depends on market characteristics, which include: (a) the information flow available to acting agents, given by a filtration; (b) the statistical evolution of the asset prices and, more generally, the states of nature, given by a probability measure; and (c) possible restrictions that acting agents might be facing on available investment strategies, modeled by a constraint set. In a financial market with continuous-path asset prices, we establish the stable behavior of the numéraire portfolio when each of the aforementioned market parameters is changed in an infinitesimal way.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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