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研究生: 吳佳興
WU, CHIA-HSING
論文名稱: 銀行利率風險與金融商品市場風險之實證分析與應用
Empirical Analysis of Bank's Interest Rate Risk and Financial Instrument's Market Risk with Its Application
指導教授: 鍾經樊
Chung, Ching-Fan
徐南蓉
Hsu, Nan-Jung
口試委員: 周雨田
陳業寧
黃昱程
學位類別: 碩士
Master
系所名稱: 理學院 - 統計學研究所
Institute of Statistics
論文出版年: 2013
畢業學年度: 101
語文別: 中文
論文頁數: 72
中文關鍵詞: 損失分配風險值資本計提率經濟資本DNS模型現貨期貨遠期契約交換
外文關鍵詞: Loss Distribution, Value at Risk (VaR), Capital Charge Rate, Economic Capital, DNS Model (Dynamic Nelson-Siegal Model), Spot Commodities, Futures, Forward Contracts, Swaps
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  • 本研究旨在建立一套完整的銀行市場風險衡量模式,首先定義曝險之損失公式,辨識其中產生損失之風險因子,並設定其相對應之模型,由DNS期間結構模型對利率風險因子建模,以EGARCH模型對股權風險因子建模,並藉由Random Walk模型對外匯風險因子建模,接著使用蒙地卡羅模擬法推導損失分配,進而推導出相對應之風險值或資本計提率。
    利用DNS利率風險因子模型,可推導出銀行利率風險中一般市場風險之總損失分配與總風險值,並與歷史模擬法及其他方法作比較,進而求算出資本計提率及經濟資本,其資本計提率在0.28%至0.31%左右。銀行業可藉由經濟資本與法定資本之比較,看出所擁有之曝險的風險程度,並可對於銀行承做之金融商品業務或投資作調整。藉由設定不同風險因子模型,由推導出之現貨商品、期貨、遠期契約、交換等金融商品損失公式,可求出相對應之損失分配與風險值。更進一步地,可以比較同標的資產之不同商品或同商品不同到期期限之風險值變化,並可找出影響未來可能損失之原因。


    In this paper, our goal is to construct a complete bank’s market risk measurement. First we define the loss formulas of the exposure. Then we identify the risk factors which cause loss, and set the corresponding models. We use DNS term structure model to build the interest rate risk factor model, EGRACH model to build the equity risk factor model, Random Walk model to build the exchange rate risk factor model. Finally, we use Monte Carlo simulation to derive the loss distribution in order to obtain the corresponding VaR and capital charge rate.
    By using DNS interest rate risk factor model, we can derive the total loss distribution and VaR of the interest rate systemic risk, comparing with historical simulation or other method, to calculate the capital charge rate and economic capital. The results show that the economic capital is between 0.28% and 0.31%. We propose that banks can use our method to measure the exposure’s sensitivity by comparing the economic and regulatory capital. They can also adjust their financial business or investment. By using different risk factor models and the loss formulas of spot commodities, futures, forward contracts, and swaps, we can obtain the corresponding loss distribution and VaR. Furthermore, we can observe the change of VaR between the different financial instruments of the same underlying asset or the same financial instruments with different maturities. Finally, we can identify the reasons which impact for possible future loss.

    1 前言...............................................1 2 文獻回顧............................................3 2.1 風險因子模型設定...................................3 2.1.1 利率風險因子模型設定..............................3 2.1.2 股價及股價指數風險因子模型設定......................5 2.1.3 匯率風險因子模型設定..............................7 2.2 市場風險損失分配、風險值及預期短缺之推導................8 2.2.1 市場風險損失分配.................................8 2.2.2 市場風險損失分配之風險值與預期短缺...................8 2.2.3 推導市場風險損失分配之方法.........................9 2.3 Vasicek短期利率模型及Copula........................11 2.3.1 Vasicek短期利率模型.............................11 2.3.2 Copula........................................11 3 研究方法............................................13 3.1 風險因子模型建模與蒙地卡羅模擬........................13 3.1.1 利率風險因子模型之建模與蒙地卡羅模擬.................13 3.1.2 股價及股價指數風險因子模型之建模與蒙地卡羅模擬.........16 3.1.3 匯率風險因子模型之建模與蒙地卡羅模擬.................17 3.2金融商品之損失公式、風險因子設定與市場風險損失衡量流程.....17 3.2.1 現貨商品........................................17 3.2.2 期貨...........................................27 3.2.3 遠期契約........................................31 3.2.4 交換…..........................................36 3.3 Vasicek-Coupla架構之利率風險因子模型................48 4 實證結果............................................51 4.1 資料敘述..........................................51 4.2 實證分析..........................................51 4.2.1 銀行利率風險之一般市場風險.........................51 4.2.2 金融商品之市場風險衡量............................56 5 結論...............................................71 參考文獻..............................................72

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