The fundamental theorem of asset pricing, the hedging problem and maximal claims in financial markets with short sales prohibitions
AbstractThis paper consists of two parts. In the first part we prove the fundamental theorem of asset pricing under short sales prohibitions in continuous-time financial models where asset prices are driven by nonnegative, locally bounded semimartingales. A key step in this proof is an extension of a well-known result of Ansel and Stricker. In the second part we study the hedging problem in these models and connect it to a properly defined property of "maximality" of contingent claims.
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Bibliographic InfoPaper provided by arXiv.org in its series Papers with number 1012.3102.
Date of creation: Dec 2010
Date of revision: Jan 2014
Publication status: Published in Annals of Applied Probability 2014, Vol. 24, No. 1, 54-75
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Web page: http://arxiv.org/
This paper has been announced in the following NEP Reports:
- NEP-ALL-2010-12-23 (All new papers)
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