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Fragility of arbitrage and bubbles in local martingale diffusion models

Guasoni, Paolo and Rásonyi, Miklós (2015) Fragility of arbitrage and bubbles in local martingale diffusion models. FINANCE AND STOCHASTICS, 19 (2). pp. 215-231. ISSN 0949-2984

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Abstract

For any positive diffusion with minimal regularity, there exists a semimartingale with uniformly close paths that is a martingale under an equivalent probability. As a result, in models of asset prices based on such diffusions, arbitrage and bubbles alike disappear under proportional transaction costs or under small model mis-specifications. Thus, local martingale diffusion models of arbitrage and bubbles are not robust to small trading and monitoring frictions. © 2015, Springer-Verlag Berlin Heidelberg.

Item Type: Article
Uncontrolled Keywords: transaction costs; Local martingales; Bubbles; arbitrage
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 17 Feb 2016 11:23
Last Modified: 11 Aug 2017 10:44
URI: http://real.mtak.hu/id/eprint/33629

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