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題名 LFM模型下可贖回CMS價差區間計息型商品之評價與風險管理
Valuation and Risk Management of Callable Range Accrual Linked to CMS Spread under Lognormal Forward LIBOR Model
作者 賴映筑
Lai, Ying-Zhu
貢獻者 林士貴<br>岳夢蘭
Lin, Shih-Kuei<br>Yueh, Meng-Lan
賴映筑
Lai, Ying-Zhu
關鍵詞 固定期限利率交換
區間計息
對數常態遠期LIBOR模型
最小平方蒙地卡羅模擬法
風險價值
期望損失
Constant Maturity Swap
Range Accrual
Lognormal Forward LIBOR Model
Least Square Monte Carlo simulation
Value at Risk
Expected Shortfall
日期 2020
上傳時間 1-Jul-2020 13:41:40 (UTC+8)
摘要 近來全球金融市場波動頻繁,加上投資人的風險管理意識增強,在資產組合的配置上,衍生性金融商品扮演著不可或缺的角色。本論文評價目前市面上常見的利率衍生性商品,此商品為以固定期限利率交換(Constant Maturity Swap, CMS)的利差做為連結標的,且附帶「提前贖回條款」的區間計息型利率交換。本文採用對數常態遠期LIBOR模型(Lognormal Forward LIBOR Model, LFM)及最小平方蒙地卡羅模擬法(Least Squares Monte Carlo Method)評價此商品的理論價值。此外,巴塞爾銀行監管委員會已針對全球銀行業監管的框架進行修正,變更之後的方案被稱之為「巴塞爾資本協定四」(Basel IV)。該方案改變了過去衡量極端損失的風險度量指標,從過去風險價值(Value at Risk,簡稱VaR)的計算,過渡為期望損失(Expected Shortfall,簡稱ES)的計量方法。因此,本文透過敏感度分析(Sensitivity Analysis) 和風險值及期望損失的計算,探討該商品之風險管理。
In recent years, global financial markets have been fluctuating frequently. With the increasing of investors` awareness in risk management, derivative commodities play indispensable roles in the allocation of asset portfolios. This paper evaluates a common interest rate derivative product currently traded on the market, which is range accrual Constant Maturity Swap (CMS) with “the Call Provision”. Lognormal Forward LIBOR Model and the least square Monte Carlo simulation method are used as evaluation methods to evaluate the theoretical value of this product.
In addition, the Basel Committee on Banking Supervision (BCBS) revised the framework for global banking supervision, which is called “Basel IV”. It has changed the risk measurement indicators that measure extreme losses, from the calculation of Value at Risk (VaR) in the past to the measurement method of Expected Shortfall (ES). Therefore, we discuss the risk management of this product by using sensitivity analysis, and the calculation of VaR and ES.
參考文獻 林淑蓉(2006). 風險值與風險管理策略之研究, 國立中央大學財務金融研究所碩士論文.

陳松男(2006a). 初階金融工程學與 Matlab. C++ 電算應用, 新陸書局.

陳松男(2006b). 利率金融工程學-理論模型及實務應用, 新陸書局.

謝振耀(2000). 台灣債券投資組合風險值之評估, 國立政治大學統計研究所碩士論文.

Artzner, P., Delbaen, F., Eber, J. M., & Heath, D. (1999). Coherent measures of risk. Mathematical Finance, 9(3), 203-228.

Aussenegg, W., & Pichler, S. (1997). Empirical evaluation of simple models to calculate value-at-risk of fixed income instruments. Working paper, Vienna University of Technology.

Brigo, D. & Mercurio, F. (2007). Interest Rate Models:Theory and Practice: with smile, inflation and credit. Springer Science & Business Media.

Hendricks, D. (1996). Evaluation of value-at-risk models using historical data. Economic Policy Review, 2(1).

Hull, J. (2012). Risk management and financial institutions. John Wiley & Sons.

Jamshidian, F. (1997). LIBOR and swap market models and measures. Finance and Stochastics, 1(4), 293-330.

Jorion, P. (1997). Value at risk: the new benchmark for controlling market risk. Irwin Professional Pub.

Longstaff, F. A., & Schwartz, E. S. (2001). Valuing American options by simulation: a simple least-squares approach. The Review of Financial Studies, 14(1), 113-147.

Lu, Y., & Neftci, S. (2003). Convexity adjustment and forward libor model: Case of constant maturity swaps. Working Paper No.115, National Centre of Competence in Research Financial Valuation and Risk Management.
描述 碩士
國立政治大學
金融學系
107352031
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0107352031
資料類型 thesis
dc.contributor.advisor 林士貴<br>岳夢蘭zh_TW
dc.contributor.advisor Lin, Shih-Kuei<br>Yueh, Meng-Lanen_US
dc.contributor.author (Authors) 賴映筑zh_TW
dc.contributor.author (Authors) Lai, Ying-Zhuen_US
dc.creator (作者) 賴映筑zh_TW
dc.creator (作者) Lai, Ying-Zhuen_US
dc.date (日期) 2020en_US
dc.date.accessioned 1-Jul-2020 13:41:40 (UTC+8)-
dc.date.available 1-Jul-2020 13:41:40 (UTC+8)-
dc.date.issued (上傳時間) 1-Jul-2020 13:41:40 (UTC+8)-
dc.identifier (Other Identifiers) G0107352031en_US
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/130544-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 金融學系zh_TW
dc.description (描述) 107352031zh_TW
dc.description.abstract (摘要) 近來全球金融市場波動頻繁,加上投資人的風險管理意識增強,在資產組合的配置上,衍生性金融商品扮演著不可或缺的角色。本論文評價目前市面上常見的利率衍生性商品,此商品為以固定期限利率交換(Constant Maturity Swap, CMS)的利差做為連結標的,且附帶「提前贖回條款」的區間計息型利率交換。本文採用對數常態遠期LIBOR模型(Lognormal Forward LIBOR Model, LFM)及最小平方蒙地卡羅模擬法(Least Squares Monte Carlo Method)評價此商品的理論價值。此外,巴塞爾銀行監管委員會已針對全球銀行業監管的框架進行修正,變更之後的方案被稱之為「巴塞爾資本協定四」(Basel IV)。該方案改變了過去衡量極端損失的風險度量指標,從過去風險價值(Value at Risk,簡稱VaR)的計算,過渡為期望損失(Expected Shortfall,簡稱ES)的計量方法。因此,本文透過敏感度分析(Sensitivity Analysis) 和風險值及期望損失的計算,探討該商品之風險管理。zh_TW
dc.description.abstract (摘要) In recent years, global financial markets have been fluctuating frequently. With the increasing of investors` awareness in risk management, derivative commodities play indispensable roles in the allocation of asset portfolios. This paper evaluates a common interest rate derivative product currently traded on the market, which is range accrual Constant Maturity Swap (CMS) with “the Call Provision”. Lognormal Forward LIBOR Model and the least square Monte Carlo simulation method are used as evaluation methods to evaluate the theoretical value of this product.
In addition, the Basel Committee on Banking Supervision (BCBS) revised the framework for global banking supervision, which is called “Basel IV”. It has changed the risk measurement indicators that measure extreme losses, from the calculation of Value at Risk (VaR) in the past to the measurement method of Expected Shortfall (ES). Therefore, we discuss the risk management of this product by using sensitivity analysis, and the calculation of VaR and ES.
en_US
dc.description.tableofcontents 目錄 I
表目錄 II
圖目錄 III
第一章 緒論 1
第一節 研究背景與動機 1
第二節 研究目的 1
第二章 文獻回顧 2
第一節 利率模型 2
第二節 固定期限利率交換 4
第三節 風險度量指標 5
第三章 研究模型與方法 9
第一節 對數常態遠期LIBOR模型 9
第二節 參數模型架構 12
第三節 最小平方蒙地卡羅法 15
第四節 敏感度分析與風險度量指標 16
第四章 可贖回CMS利差區間計息型商品評價 19
第一節 產品內容 19
第二節 評價分析 20
第五章 敏感度分析與風險度量指標實證 30
第一節 敏感度分析 30
第二節 風險價值與期望損失分析 31
第六章 結論與建議 33
第一節 研究結論 33
第二節 研究建議 33
第七章 參考文獻 35
zh_TW
dc.format.extent 1806523 bytes-
dc.format.mimetype application/pdf-
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0107352031en_US
dc.subject (關鍵詞) 固定期限利率交換zh_TW
dc.subject (關鍵詞) 區間計息zh_TW
dc.subject (關鍵詞) 對數常態遠期LIBOR模型zh_TW
dc.subject (關鍵詞) 最小平方蒙地卡羅模擬法zh_TW
dc.subject (關鍵詞) 風險價值zh_TW
dc.subject (關鍵詞) 期望損失zh_TW
dc.subject (關鍵詞) Constant Maturity Swapen_US
dc.subject (關鍵詞) Range Accrualen_US
dc.subject (關鍵詞) Lognormal Forward LIBOR Modelen_US
dc.subject (關鍵詞) Least Square Monte Carlo simulationen_US
dc.subject (關鍵詞) Value at Risken_US
dc.subject (關鍵詞) Expected Shortfallen_US
dc.title (題名) LFM模型下可贖回CMS價差區間計息型商品之評價與風險管理zh_TW
dc.title (題名) Valuation and Risk Management of Callable Range Accrual Linked to CMS Spread under Lognormal Forward LIBOR Modelen_US
dc.type (資料類型) thesisen_US
dc.relation.reference (參考文獻) 林淑蓉(2006). 風險值與風險管理策略之研究, 國立中央大學財務金融研究所碩士論文.

陳松男(2006a). 初階金融工程學與 Matlab. C++ 電算應用, 新陸書局.

陳松男(2006b). 利率金融工程學-理論模型及實務應用, 新陸書局.

謝振耀(2000). 台灣債券投資組合風險值之評估, 國立政治大學統計研究所碩士論文.

Artzner, P., Delbaen, F., Eber, J. M., & Heath, D. (1999). Coherent measures of risk. Mathematical Finance, 9(3), 203-228.

Aussenegg, W., & Pichler, S. (1997). Empirical evaluation of simple models to calculate value-at-risk of fixed income instruments. Working paper, Vienna University of Technology.

Brigo, D. & Mercurio, F. (2007). Interest Rate Models:Theory and Practice: with smile, inflation and credit. Springer Science & Business Media.

Hendricks, D. (1996). Evaluation of value-at-risk models using historical data. Economic Policy Review, 2(1).

Hull, J. (2012). Risk management and financial institutions. John Wiley & Sons.

Jamshidian, F. (1997). LIBOR and swap market models and measures. Finance and Stochastics, 1(4), 293-330.

Jorion, P. (1997). Value at risk: the new benchmark for controlling market risk. Irwin Professional Pub.

Longstaff, F. A., & Schwartz, E. S. (2001). Valuing American options by simulation: a simple least-squares approach. The Review of Financial Studies, 14(1), 113-147.

Lu, Y., & Neftci, S. (2003). Convexity adjustment and forward libor model: Case of constant maturity swaps. Working Paper No.115, National Centre of Competence in Research Financial Valuation and Risk Management.
zh_TW
dc.identifier.doi (DOI) 10.6814/NCCU202000614en_US