Exploiting arbitrage requires short selling

Fuente: arXiv
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Main Authors: Platen, Eckhard, Tappe, Stefan
Format: Preprint
Published: 2020
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author Platen, Eckhard
Tappe, Stefan
author_facet Platen, Eckhard
Tappe, Stefan
contents We show that in a financial market given by semimartingales an arbitrage opportunity, provided it exists, can only be exploited through short selling. This finding provides a theoretical basis for differences in regulation for financial services providers that are allowed to go short and those without short sales. The privilege to be allowed to short sell gives access to potential arbitrage opportunities, which creates by design a bankruptcy risk.
format Preprint
id arxiv_https___arxiv_org_abs_2011_12523
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle Exploiting arbitrage requires short selling
Platen, Eckhard
Tappe, Stefan
Mathematical Finance
Probability
We show that in a financial market given by semimartingales an arbitrage opportunity, provided it exists, can only be exploited through short selling. This finding provides a theoretical basis for differences in regulation for financial services providers that are allowed to go short and those without short sales. The privilege to be allowed to short sell gives access to potential arbitrage opportunities, which creates by design a bankruptcy risk.
title Exploiting arbitrage requires short selling
topic Mathematical Finance
Probability
url https://arxiv.org/abs/2011.12523