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Nunes, J., Ruas, J. & Dias, J. C. (2020). Early exercise boundaries for American-style knock-out options. European Journal of Operational Research . 285 (2), 753-766
J. P. Nunes et al., "Early exercise boundaries for American-style knock-out options", in European Journal of Operational Research , vol. 285, no. 2, pp. 753-766, 2020
@article{nunes2020_1732201809190, author = "Nunes, J. and Ruas, J. and Dias, J. C.", title = "Early exercise boundaries for American-style knock-out options", journal = "European Journal of Operational Research ", year = "2020", volume = "285", number = "2", doi = "10.1016/j.ejor.2020.02.006", pages = "753-766", url = "https://www.sciencedirect.com/science/article/pii/S0377221720301247?dgcid=coauthor" }
TY - JOUR TI - Early exercise boundaries for American-style knock-out options T2 - European Journal of Operational Research VL - 285 IS - 2 AU - Nunes, J. AU - Ruas, J. AU - Dias, J. C. PY - 2020 SP - 753-766 SN - 0377-2217 DO - 10.1016/j.ejor.2020.02.006 UR - https://www.sciencedirect.com/science/article/pii/S0377221720301247?dgcid=coauthor AB - This paper proposes a novel representation for the early exercise boundary of American-style double knock-out options in terms of the simpler optimal stopping boundary of a nested single barrier contract. Such representation only requires the existence, continuity and monotonicity (in time) of the nested single barrier exercise boundary, and these requirements are proved for the whole class of single-factor exponential-Lévy processes. To illustrate the practical relevance of our results, a new put-call duality relation is obtained, a real options application is provided and the Fourier space time-stepping method, the COS approximation, and the static hedging portfolio approach are all adapted to the valuation of American-style double knock-out options. ER -