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題名 Valuation of Convertible Bond Under Levy Process with Default Risk
作者 廖四郎
Liao, Szu-Lang ; Tsai, Ming-Shann ; Chen, Jun-Home ; Li, Chia-Huang
貢獻者 金融系
關鍵詞 Lévy process ; credit risk ; convertible bond ; least squares Monte ; Carlo Simulation
日期 2012.06
上傳時間 13-Nov-2013 17:46:35 (UTC+8)
摘要 Due to the reason that the default events occurred constantly and still continue taking place, empirical log returns exhibit fat tail and excess kurtosis, this paper evaluates convertible bonds under Lévy process with default risk using the reduced-form approach. Under the Lévy process, the underlying stock prices are set to be normal inverse Gaussian (NIG) and variance Gamma (VG) model to capture the jump components. In the empirical analysis, we use the maximum likelihood method to estimate the parameters of Lévy distributions, and apply the least squares Monte Carlo Simulation to price convertible bonds. Five examples are shown in pricing convertible bonds using the traditional model and Lévy model. The empirical results show that the performance of Lévy model is better than the traditional one.
關聯 Journal of the Chinese Statistical Association, 50(2) , 48-70
資料類型 article
dc.contributor 金融系en_US
dc.creator (作者) 廖四郎zh_TW
dc.creator (作者) Liao, Szu-Lang ; Tsai, Ming-Shann ; Chen, Jun-Home ; Li, Chia-Huangen_US
dc.date (日期) 2012.06en_US
dc.date.accessioned 13-Nov-2013 17:46:35 (UTC+8)-
dc.date.available 13-Nov-2013 17:46:35 (UTC+8)-
dc.date.issued (上傳時間) 13-Nov-2013 17:46:35 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/61675-
dc.description.abstract (摘要) Due to the reason that the default events occurred constantly and still continue taking place, empirical log returns exhibit fat tail and excess kurtosis, this paper evaluates convertible bonds under Lévy process with default risk using the reduced-form approach. Under the Lévy process, the underlying stock prices are set to be normal inverse Gaussian (NIG) and variance Gamma (VG) model to capture the jump components. In the empirical analysis, we use the maximum likelihood method to estimate the parameters of Lévy distributions, and apply the least squares Monte Carlo Simulation to price convertible bonds. Five examples are shown in pricing convertible bonds using the traditional model and Lévy model. The empirical results show that the performance of Lévy model is better than the traditional one.en_US
dc.format.extent 3495929 bytes-
dc.format.mimetype application/pdf-
dc.language.iso en_US-
dc.relation (關聯) Journal of the Chinese Statistical Association, 50(2) , 48-70en_US
dc.subject (關鍵詞) Lévy process ; credit risk ; convertible bond ; least squares Monte ; Carlo Simulationen_US
dc.title (題名) Valuation of Convertible Bond Under Levy Process with Default Risken_US
dc.type (資料類型) articleen