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Incomplete Markets: Convergence of Options Values under the Minimal Martingale Measure. The Multidimensional Case

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Author Info

  • Prigent, J.L.

Abstract

In the setting of incomplete markets, this paper presents a general result of weak convergence for derivative assets prices. It is proved that the minimal martingale measure first introduced by Follmer and Schweizer is a convenient tool for the stabilization under convergence. This extends previous well-known results when the markets are complete both in discrete time and continuous time. The result is extended to markets with several risky assets and generalizes a previous work on this subject.

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Bibliographic Info

Paper provided by Paris X - Nanterre, U.F.R. de Sc. Ec. Gest. Maths Infor. in its series Papers with number 9735.

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Length: 15 pages
Date of creation: 1997
Date of revision:
Handle: RePEc:fth:pnegmi:9735

Contact details of provider:
Postal: THEMA, Universite de Paris X-Nanterre, U.F.R. de science economiques, gestion, mathematiques et informatique, 200, avenue de la Republique 92001 Nanterre CEDEX.

Related research

Keywords: PRICES ; INTEREST RATE ; ECONOMETRICS ; CONVERGENCE;

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Cited by:
  1. Jesús P. Colino, 2008. "Weak convergence in credit risk," Statistics and Econometrics Working Papers ws085518, Universidad Carlos III, Departamento de Estadística y Econometría.

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