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題名 An Efficient Valuation and Hedging of Constant Maturity Swap Products under BGM Model
作者 廖四郎
Liao, Szu-Lang ; Tsai, Hung-Pin ; Lin, Shih-Kuei
貢獻者 金融系
關鍵詞 CMS spread option ; CMS ratchet option ; LIBOR market model ; hedge
日期 2010.09
上傳時間 13-Nov-2013 17:45:58 (UTC+8)
摘要 The derivatives of the constant maturity swap (CMS) are evaluated by the LIBOR market model (LMM) implemented by Monte Carlo methods in the previous researches. 1n this paper, we derive an approximated dynamic process of the forward-swap rate (FSR) under LMM. Based on the approximated dynamics for the FSR under one factor model, CMS spread options and CMS ratchet options are valued by the no-arbitrage method in approximated analytic formulas. In the numerical analysis, the relative errors between the Monte Carlo simulations and the approximated closed form formulas are very small for CMS spread options and CMS ratchet options and we also provide an efficient hedging method for these products under one factor LMM.
關聯 Journal of the Chinese Statistical Association, 48(3) , 161-189
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, Hung-Pin ; Lin, Shih-Kueien_US
dc.date (日期) 2010.09en_US
dc.date.accessioned 13-Nov-2013 17:45:58 (UTC+8)-
dc.date.available 13-Nov-2013 17:45:58 (UTC+8)-
dc.date.issued (上傳時間) 13-Nov-2013 17:45:58 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/61672-
dc.description.abstract (摘要) The derivatives of the constant maturity swap (CMS) are evaluated by the LIBOR market model (LMM) implemented by Monte Carlo methods in the previous researches. 1n this paper, we derive an approximated dynamic process of the forward-swap rate (FSR) under LMM. Based on the approximated dynamics for the FSR under one factor model, CMS spread options and CMS ratchet options are valued by the no-arbitrage method in approximated analytic formulas. In the numerical analysis, the relative errors between the Monte Carlo simulations and the approximated closed form formulas are very small for CMS spread options and CMS ratchet options and we also provide an efficient hedging method for these products under one factor LMM.en_US
dc.format.extent 8193055 bytes-
dc.format.mimetype application/pdf-
dc.language.iso en_US-
dc.relation (關聯) Journal of the Chinese Statistical Association, 48(3) , 161-189en_US
dc.subject (關鍵詞) CMS spread option ; CMS ratchet option ; LIBOR market model ; hedgeen_US
dc.title (題名) An Efficient Valuation and Hedging of Constant Maturity Swap Products under BGM Modelen_US
dc.type (資料類型) articleen