MONOTONICITY OF PRICES IN HESTON MODEL
S. M. Ould Aly ()
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S. M. Ould Aly: Universite Paris-Est, Laboratoire d'Analyse et de Mathmatiques Appliques, 5, boulevard Descartes, 77454 Marne-la-Valle Cedex 2, France
International Journal of Theoretical and Applied Finance (IJTAF), 2013, vol. 16, issue 03, 1-23
Abstract:
In this article, we study the price monotonicity in the parameters of the Heston model for a contract with a convex pay-off function; in particular we consider European put options. We show that the price is increasing in the constant term in the drift of the variance process and decreasing in the coefficient of the linear term in the drift of variance process. We also show that the price is increasing in the correlation for small values of the stock and decreasing for the large values.
Keywords: Heston model; monotonicity; put options; maximum principle; correlation (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijtafx:v:16:y:2013:i:03:n:s0219024913500167
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DOI: 10.1142/S0219024913500167
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