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研究生: 林俊宇
Lin, Chun-Yu
論文名稱: 不同風險值模型的比較與應用
A Study of Value at Risk Models
指導教授: 黃裕烈
Huang, Yu-Lieh
口試委員:
學位類別: 碩士
Master
系所名稱: 科技管理學院 - 計量財務金融學系
Department of Quantitative Finance
論文出版年: 2009
畢業學年度: 97
語文別: 中文
論文頁數: 49
中文關鍵詞: 風險值分量值Expectile 值條件期望值一致性風險測度
外文關鍵詞: Coherent measures of risk, Expected Shortfall, Expectile, Quantile, VaR.
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  • 在金融市場裡,風險是造成投資者的資產價格波動的主要原因之一,因此如何正確地衡量風險為一重要的研究議題。文獻上,一種常用來衡量風險的方法稱為風險值(value at risk),依照Jorion(2000) 的定義,我們可將風險值視為在某一信賴水準下,於未來某一期間內資產報酬最大的可能損失。近年來,在衡量風險值的議題上,計量分析已經成為一種重要的衡量方式, 其中較著名的有 Koenker and Bassett(1978) 所提出的分量回歸法(quantile regression),Newey and Powell(1987) 提出的 expectile 模型,以及 Acerbi and Tasche~(2001) 所提出的 expected shortfall 概念,此三種方法均能估計出資產報酬的風險值。而要如何判斷這些方法的優劣,可以利用 Artzner, Delbaen, Eber and Heath(1999) 提出的一致性風險測度(coherent measures of risk) 的概念來衡量之。在實證議題上,本篇論文將此三種方法以及普通的風險值法應用於股票市場中,探討公司下市前,這些風險值是否有異常的情況發生,並對實證結果加以解釋,期望當有異常情況發生時能及時發現,減少投資人或風險管理者因下市而產生的投資損失。


    1 緒論 2 風險值: Value at Risk 3 Quantile 值、 Expectile 值與 Expected Shortfall 3.1 Quantile 值 3.2 Expectile 值 3.3 Expectile 值數學式的探討 3.4 Expected Shortfall 4 一致性原理 4.1 一致性風險測度 4.2 普通風險值(VaR)是否具有一致性性質 4.3 分量風險值(QVaR)是否具有一致性性質 4.4 Expectile 風險值(EVaR)是否具有一致性性質 4.5 Expected Shortfall 風險值(ESVaR)是否具有一致性性質 5 估計方法 5.1 Quantile 估計方法 5.2 Expectile 估計方法 6 實證研究 6.1 資料的選取與處理 6.2 實證結果 7 結論 附錄一 利用風險值模型估計的結果(ㄧ) 利用風險值模型估計的結果(二) 附錄二: Quantile 值與 Expectile 值的推導 參考文獻

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