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dc.contributor.authorDai, Tian-Shyren_US
dc.contributor.authorWang, Chuan-Juen_US
dc.contributor.authorLyuu, Yuh-Dauhen_US
dc.contributor.authorLiu, Yen-Chunen_US
dc.date.accessioned2014-12-08T15:47:40Z-
dc.date.available2014-12-08T15:47:40Z-
dc.date.issued2010-12-01en_US
dc.identifier.issn0096-3003en_US
dc.identifier.urihttp://dx.doi.org/10.1016/j.amc.2010.08.050en_US
dc.identifier.urihttp://hdl.handle.net/11536/31890-
dc.description.abstractDerivatives are popular financial instruments whose values depend on other more fundamental financial assets (called the underlying assets). As they play essential roles in financial markets, evaluating them efficiently and accurately is critical. Most derivatives have no simple valuation formulas; as a result, they must be priced by numerical methods such as lattice methods. In a lattice, the prices of the derivatives converge to theoretical values when the number of time steps increases. Unfortunately, the nonlinearity error introduced by the nonlinearity of the option value function may cause the pricing results to converge slowly or even oscillate significantly. The lognormal diffusion process, which has been widely used to model the underlying asset's price dynamics, does not capture the empirical findings satisfactorily. Therefore, many alternative processes have been proposed, and a very popular one is the jump-diffusion process. This paper proposes an accurate and efficient lattice for the jump-diffusion process. Our lattice is accurate because its structure can suit the derivatives' specifications so that the pricing results converge smoothly. To our knowledge, no other lattices for the jump-diffusion process have successfully solved the oscillation problem. In addition, the time complexity of our lattice is lower than those of existing lattice methods by at least half an order. Numerous numerical calculations confirm the superior performance of our lattice to existing methods in terms of accuracy, speed, and generality. (C) 2010 Elsevier Inc. All rights reserved.en_US
dc.language.isoen_USen_US
dc.subjectOption pricingen_US
dc.subjectNumerical methoden_US
dc.subjectLattice constructionen_US
dc.subjectJump-diffusion processen_US
dc.subjectComplexityen_US
dc.titleAn efficient and accurate lattice for pricing derivatives under a jump-diffusion processen_US
dc.typeArticleen_US
dc.identifier.doi10.1016/j.amc.2010.08.050en_US
dc.identifier.journalAPPLIED MATHEMATICS AND COMPUTATIONen_US
dc.citation.volume217en_US
dc.citation.issue7en_US
dc.citation.spage3174en_US
dc.citation.epage3189en_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
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