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On the Order Form of the Fundamental Theorems of Asset Pricing

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DOI: 10.4236/jmf.2014.44019    2,569 Downloads   2,974 Views   Citations

ABSTRACT

In this article, we provide an order-form of the First and the Second Fundamental Theorem of Asset Pricing both in the one-period market model for a finite and infinite state-space and in the case of multi-period model for a finite state-space and a finite time-horizon. The space of the financial positions is supposed to be a Banach lattice. We also prove relevant results in the case where the space of the financial positions is not ordered by a lattice cone.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Kountzakis, C. (2014) On the Order Form of the Fundamental Theorems of Asset Pricing. Journal of Mathematical Finance, 4, 221-233. doi: 10.4236/jmf.2014.44019.

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