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Call Completeness Implies Completeness in the n-period Model of a Financial Market
Authors:Lothar Rogge
Affiliation:(1) Fachbereich Mathematik der Universität Duisburg-Essen, Lotharstr. 65, D 47048 Duisburg, Germany
Abstract:
In this paper an arbitrage-free n-period model of a financial market with a predictable, strictly positive numéraire and g risky assets is considered. Complete financial markets are of great practical relevance and of considerable theoretical interest, because in these markets one can find hedging strategies and unique arbitrage-free prices. In this paper complete financial markets are characterized by the simple condition of “call-completeness”.
Keywords:n-period model of a financial market  Complete markets
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