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dc.contributor.authorDai, Tian-Shyren_US
dc.contributor.authorLyuu, Yuh-Dauhen_US
dc.date.accessioned2014-12-08T15:09:46Z-
dc.date.available2014-12-08T15:09:46Z-
dc.date.issued2009-03-15en_US
dc.identifier.issn0096-3003en_US
dc.identifier.urihttp://dx.doi.org/10.1016/j.amc.2008.12.053en_US
dc.identifier.urihttp://hdl.handle.net/11536/7484-
dc.description.abstractAsian options are popular path-dependent options and it has been a long-standing problem to price them efficiently and accurately. Since there is no known exact pricing formula for Asian options, numerical pricing formulas like lattice models must be employed. A lattice divides a certain time interval into n time steps and the pricing results generated by the lattice (called desired option values for convenience) converge to the theoretical option value as n -> infinity. Since a brute-force lattice pricing algorithm runs in subexponential time in n, some heuristics, like interpolation method, are used to strike the balance between the efficiency and the accuracy. But the pricing results might not converge due to the accumulation of interpolation errors. For pricing European-style Asian options, the evaluation on the major part of the lattice can be done by a simple formula, and the interpolation method is only required on the minor part of the lattice. Thus polynomial time algorithms with convergence guarantee for European-style Asian options can be derived. However, such a simple formula does not exist for American-style Asian options. This paper suggests an efficient range-bound algorithm that bracket the desired option value. By taking advantages of the early exercise property of American-style options, we show that part of the lattice can be evaluated by a simple formula. The interpolation method is required on the remaining part of the lattice and the upper and the lower bounds option values produced by the proposed algorithm are essentially numerically identical. Thus the theoretical option value is said to be obtained practically when the range bound algorithm runs on a lattice with large number of time steps. (C) 2008 Elsevier Inc. All rights reserved.en_US
dc.language.isoen_USen_US
dc.subjectAsian optionen_US
dc.subjectOption pricingen_US
dc.subjectLatticeen_US
dc.subjectPath-dependent derivativeen_US
dc.subjectRange-bound algorithmen_US
dc.titleAccurate and efficient lattice algorithms for American-style Asian options with range boundsen_US
dc.typeArticleen_US
dc.identifier.doi10.1016/j.amc.2008.12.053en_US
dc.identifier.journalAPPLIED MATHEMATICS AND COMPUTATIONen_US
dc.citation.volume209en_US
dc.citation.issue2en_US
dc.citation.spage238en_US
dc.citation.epage253en_US
dc.contributor.department資訊管理與財務金融系 註:原資管所+財金所zh_TW
dc.contributor.departmentDepartment of Information Management and Financeen_US
dc.identifier.wosnumberWOS:000263597700011-
dc.citation.woscount4-
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