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SYMMETRIES IN LÉVY TERM STRUCTURE MODELS

Ernst Eberlein (), Wolfgang Kluge () and Antonis Papapantoleon ()
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Ernst Eberlein: Department of Mathematical Stochastics, University of Freiburg, Eckerstrasse 1, D–79104 Freiburg, Germany
Wolfgang Kluge: Department of Mathematical Stochastics, University of Freiburg, Eckerstrasse 1, D–79104 Freiburg, Germany
Antonis Papapantoleon: Department of Mathematical Stochastics, University of Freiburg, Eckerstrasse 1, D–79104 Freiburg, Germany

International Journal of Theoretical and Applied Finance (IJTAF), 2006, vol. 09, issue 06, 967-986

Abstract: Symmetry results between call and put options have been widely studied in equity markets. We provide similar symmetry results between caps and floors in a Heath–Jarrow–Morton, a LIBOR and a forward price model, driven by time-inhomogeneous Lévy processes. On the way, we review the basic properties of these models.

Keywords: Time-inhomogeneous Lévy processes; change of measure; symmetry; Heath–Jarrow–Morton model; LIBOR model; forward price model (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1142/S0219024906003809

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