José Fajardo (IBMEC Business School - Rio de Janeiro) Ernesto Mordecki (Centro de Matemática, Facultad de Ciências, Universidad de la República, Uruguay)
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In this paper we study the pricing problem of derivatives written in terms of a two dimensional Time-changed Lévy processes. Then, we examine an existing relation between prices of put and call options, of both the European and the American type. This relation is called put-call duality. It includes as a particular case, the relation known as put-call symmetry. Necessary and sufficient conditions for put-call symmetry to hold are shown, in terms of the triplet of local characteristic of the Time-changed Lévy process. In this way we extend the results obtained by Fajardo and Mordecki (2004a) and Fajardo and Mordecki (2004b) to the case of Time-changed Lévy processes.
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Paper provided by Economics Research Group, IBMEC Business School - Rio de Janeiro in its series IBMEC RJ Economics Discussion Papers with number
2005-12.
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