The Fundamental Theorem of Asset Pricing, the Hedging Problem and Maximal Claims in Financial Markets with Short Sales Prohibitions

Economy – Quantitative Finance – Pricing of Securities

Scientific paper

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Scientific paper

This 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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