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Market symmetry in time-changed Brownian models

José Fajardo () and Ernesto Mordecki

Finance Research Letters, 2010, vol. 7, issue 1, 53-59

Abstract: In this paper we examine which Brownian subordination with drift exhibits the symmetry property introduced by Fajardo and Mordecki [2006. Quantitative Finance 6, 219-227]. We find that when the subordination results in a Lévy process, a necessary and sufficient condition for the symmetry to hold is that the drift must be equal to-1/2. Also, we derive explicit conditions to test whether the NIG, CGMY and Meixner processes are symmetric or not. Finally, we perform some tests with real financial data.

Keywords: Time-changed; Brownian; motion; Subordination; Symmetry (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (6)

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