LOOKBACK OPTION PRICES UNDER A SPECTRALLY NEGATIVE TEMPERED-STABLE MODEL
Guillaume Coqueret ()
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Guillaume Coqueret: ESSEC Business School, 1, Avenue Bernard Hirsch - 95000 Cergy, France
International Journal of Theoretical and Applied Finance (IJTAF), 2013, vol. 16, issue 03, 1-15
Abstract:
We perform a Laplace transform inversion in the time parameter on the two Wiener-Hopf factors for a spectrally negative tempered stable Lévy process. This yields the issuing price of continuously monitored lookback options. We also propose a simulation technique for the purpose of Monte-Carlo valuation and discuss the convergence rate to continuous prices when the number of discretization steps (i.e. monitoring dates) goes to infinity.
Keywords: Pricing lookback options; discrete monitoring; Monte-Carlo simulation; spectrally negative tempered stable process (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:s021902491350012x
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DOI: 10.1142/S021902491350012X
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