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An alternative axiomatic characterisation of pricing operators

Published online by Cambridge University Press:  09 December 2016

Stefan Kassberger*
Affiliation:
Frankfurt School of Finance and Management
Thomas Liebmann*
Affiliation:
Frankfurt School of Finance and Management
*
* Postal address: Frankfurt School of Finance and Management, Sonnemannstr. 9‒11, 60314 Frankfurt am Main, Germany.
* Postal address: Frankfurt School of Finance and Management, Sonnemannstr. 9‒11, 60314 Frankfurt am Main, Germany.

Abstract

In the spirit of the axiomatic approach by Rogers (1998) we show the equivalence between a set of assumptions on the behaviour of prices and the existence of a representation of these prices as conditional expectations. We rely on only weak assumptions and avoid any a priori modelling of negligible events or of any market filtration. Rather, both endogenously emerge along with the representation as conditional expectations.

Type
Short Communications
Copyright
Copyright © Applied Probability Trust 2016 

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References

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