Essays On Arbitrage Activities

Author : Jun Deng
Publisher :
ISBN 13 :
Total Pages : 266 pages
Book Rating : 4.:/5 (92 download)

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Download or read book Essays on Arbitrage Theory for a Class of Informational Markets written by Jun Deng and published by . This book was released on 2014 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis develops three major essays on Arbitrage Theory, Market's Viability and Informational Markets. The first essay (Chapter 3) elaborates the exact connections among the No-Unbounded-Profit-with-Bounded-Risk (called NUPBR hereafter) condition, the existence of the numeraire portfolio, and market's weak/local viability. These tight relationships together with the financial crisis become our principal financial/economic leitmotif for the development of the next essay. In the second essay (Chapter 4 - Chapter 6), we focus on quantifying with extreme precision the effect of some additional information/uncertainty on the non-arbitrage concepts. As a result, we describe the interplay of this extra information and the market's parameters for these non-arbitrage concepts to be preserved. Herein, we focus on the classical no-arbitrage and the NUPBR condition. This study contains two main parts. In the first part of this essay (Chapter 4), we analyze practical examples of market models and extra information/uncertainty, for which we construct explicit "classical" arbitrage opportunities generated by the extra infor- mation/uncertainty. These examples are built in Brownian filtration and in Poisson filtration as well. The second part (Chapters 5 and 6) addresses the NUPBR condition in two different directions. On the one hand, we describe the pairs of market model and random time for which the resulting informational market model fulfills the NUPBR condition. On the other hand, we characterize the random time models that preserve the NUPBR condition. These results are elaborated for general market models with special attention to practical models such as discrete-time and Levy market models. The last essay (Chapter 7) investigates the effect of additional information on the Structure Conditions. These conditions are the alternatives to the non-arbitrage and viability assumption in the Markowitz settings.