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題名 Closed-form Valuations of Basket Options Using a Multivariate Normal Inverse Gaussian Model
作者 Wu, Yang-Che ; Liao, Szu-Lang ; Shyu,So-De
吳仰哲;廖四郎;徐守德
貢獻者 金融系
關鍵詞 Normal inverse Gaussian; Basket option; Esscher transform; Time-changed Lévy process
日期 2009-02
上傳時間 17-Feb-2014 17:49:22 (UTC+8)
摘要 This paper uses a multivariate normal inverse Gaussian model to develop closed-form pricing formulas for both geometric and arithmetic basket options. For geometric basket options, an exact analytical solution is possible; for arithmetic basket options, the formula is an approximation. The model is based on a jump-driven financial process, which is known empirically to be more realistic than a geometric Brownian motion. By comparing our results to Monte Carlo experiments, we confirm the internal consistency of our formulas. The “Greeks” can be derived from the closed-form formulas in a straightforward manner.
關聯 Insurance: Mathematics and Economics, 44(1), 95-102
資料類型 article
DOI http://dx.doi.org/10.1016/j.insmatheco.2008.10.007
dc.contributor 金融系en_US
dc.creator (作者) Wu, Yang-Che ; Liao, Szu-Lang ; Shyu,So-Deen_US
dc.creator (作者) 吳仰哲;廖四郎;徐守德zh_TW
dc.date (日期) 2009-02en_US
dc.date.accessioned 17-Feb-2014 17:49:22 (UTC+8)-
dc.date.available 17-Feb-2014 17:49:22 (UTC+8)-
dc.date.issued (上傳時間) 17-Feb-2014 17:49:22 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/63906-
dc.description.abstract (摘要) This paper uses a multivariate normal inverse Gaussian model to develop closed-form pricing formulas for both geometric and arithmetic basket options. For geometric basket options, an exact analytical solution is possible; for arithmetic basket options, the formula is an approximation. The model is based on a jump-driven financial process, which is known empirically to be more realistic than a geometric Brownian motion. By comparing our results to Monte Carlo experiments, we confirm the internal consistency of our formulas. The “Greeks” can be derived from the closed-form formulas in a straightforward manner.en_US
dc.format.extent 1686389 bytes-
dc.format.mimetype application/pdf-
dc.language.iso en_US-
dc.relation (關聯) Insurance: Mathematics and Economics, 44(1), 95-102en_US
dc.subject (關鍵詞) Normal inverse Gaussian; Basket option; Esscher transform; Time-changed Lévy processen_US
dc.title (題名) Closed-form Valuations of Basket Options Using a Multivariate Normal Inverse Gaussian Modelen_US
dc.type (資料類型) articleen
dc.identifier.doi (DOI) 10.1016/j.insmatheco.2008.10.007en_US
dc.doi.uri (DOI) http://dx.doi.org/10.1016/j.insmatheco.2008.10.007en_US