Equivalent martingale measures for large financial markets in discrete time

Equivalent martingale measures for large financial markets in discrete time

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Article ID: iaor2005972
Country: Germany
Volume: 58
Issue: 3
Start Page Number: 401
End Page Number: 415
Publication Date: Jan 2003
Journal: Mathematical Methods of Operations Research (Heidelberg)
Authors:
Abstract:

We show that in a discrete-time large financial market the absence of certain asymptotic arbitrage opportunities is equivalent to the existence of martingale measures in a strong sense. We also consider the Arbitrage Pricing Model with stable random variables where we are able to give explicit necessary and sufficient conditions using market parameters.

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