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題名 Option Pricing Using the Martingale Approach with Polynomial Interpolation
作者 廖四郎
Liao,Szu-Lang ; Wang,Ming-Chieh ; Huang,Li-Jhang
貢獻者 金融系
日期 2012.05
上傳時間 20-Nov-2013 17:45:24 (UTC+8)
摘要 This study shows that in particular cases, the minimal martingale measure coincides with the Esscher martingale measure. Using the martingale approach can produce an exact solution for the price of a European call option on an asset modeled as an exponential Lévy process when a closed-form expression exists for the Lévy measure under some integrability conditions. If the jump component vanishes, the solution reduces to the Black–Scholes formula. To compute the option price accurately and quickly, this study uses polynomial interpolation with divided differences. A numerical analysis compares the accuracy and CPU time of the latter method with those of three Fourier-based formulas described by Lewis (2001).
關聯 Journal of Futures Markets, 33(5), 469-491
資料類型 article
DOI http://dx.doi.org/10.1002/fut.21557
dc.contributor 金融系en_US
dc.creator (作者) 廖四郎zh_TW
dc.creator (作者) Liao,Szu-Lang ; Wang,Ming-Chieh ; Huang,Li-Jhangen_US
dc.date (日期) 2012.05en_US
dc.date.accessioned 20-Nov-2013 17:45:24 (UTC+8)-
dc.date.available 20-Nov-2013 17:45:24 (UTC+8)-
dc.date.issued (上傳時間) 20-Nov-2013 17:45:24 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/61738-
dc.description.abstract (摘要) This study shows that in particular cases, the minimal martingale measure coincides with the Esscher martingale measure. Using the martingale approach can produce an exact solution for the price of a European call option on an asset modeled as an exponential Lévy process when a closed-form expression exists for the Lévy measure under some integrability conditions. If the jump component vanishes, the solution reduces to the Black–Scholes formula. To compute the option price accurately and quickly, this study uses polynomial interpolation with divided differences. A numerical analysis compares the accuracy and CPU time of the latter method with those of three Fourier-based formulas described by Lewis (2001).en_US
dc.format.extent 193763 bytes-
dc.format.mimetype application/pdf-
dc.language.iso en_US-
dc.relation (關聯) Journal of Futures Markets, 33(5), 469-491en_US
dc.title (題名) Option Pricing Using the Martingale Approach with Polynomial Interpolationen_US
dc.type (資料類型) articleen
dc.identifier.doi (DOI) 10.1002/fut.21557en_US
dc.doi.uri (DOI) http://dx.doi.org/10.1002/fut.21557en_US