TITLE:
On the Order Form of the Fundamental Theorems of Asset Pricing
AUTHORS:
Christos E. Kountzakis
KEYWORDS:
Strictly Positive Extension, Positive Projection, Sublattice, Complete Market, Incomplete Market
JOURNAL NAME:
Journal of Mathematical Finance,
Vol.4 No.4,
August
18,
2014
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.