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THE BINOMIAL INTERPOLATED LATTICE METHOD FOR STEP DOUBLE BARRIER OPTIONS

Elisa Appolloni (), Marcellino Gaudenzi () and Antonino Zanette ()
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Elisa Appolloni: MEMOTEF, Università di Roma Sapienza, Via del Castro Laurenziano 9, Roma, Italy
Marcellino Gaudenzi: Dipartimento di Scienze Economiche e Statistiche, Università di Udine, Via Tomadini 30/A, Udine, Italy
Antonino Zanette: Dipartimento di Scienze Economiche e Statistiche, Università di Udine, Via Tomadini 30/A, Udine, Italy

International Journal of Theoretical and Applied Finance (IJTAF), 2014, vol. 17, issue 06, 1-26

Abstract: We consider the problem of pricing step double barrier options with binomial lattice methods. We introduce an algorithm, based on interpolation techniques, that is robust and efficient, that treats the "near barrier" problem for double barrier options and permits the valuation of step double barrier options with American features. We provide a complete convergence analysis of the proposed lattice algorithm in the European case.

Keywords: Step double barrier options; American options; binomial method; interpolation; rate of convergence (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1142/S0219024914500356

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