| 研究生: |
顏廷達 |
|---|---|
| 論文名稱: |
審視臺灣期貨交易所之保證金機制:預期損失與隨機波動度模型 Review The Margin Mechanism of TAIFEX: Expected Shortfall and Stochastic Volatility Model |
| 指導教授: |
林士貴
Lin, Shi-Gui |
| 口試委員: |
羅秉政
Luo, Bing-Zheng 陳亭甫 Chen, Ting-Fu 謝長杰 Xie, Chang-Jie |
| 學位類別: |
碩士
Master |
| 系所名稱: |
商學院 - 金融學系 Department of Money and Banking |
| 論文出版年: | 2025 |
| 畢業學年度: | 113 |
| 語文別: | 中文 |
| 論文頁數: | 54 |
| 中文關鍵詞: | 臺灣期貨交易所 、保證金制度 、隨機波動度模型 、風險值 、預期損失 、抗景氣循環 |
| 外文關鍵詞: | Taiwan Futures Exchange, Margin system, Stochastic volatility model, Value at Risk (VaR), Expected Shortfall (ES), Anti-procyclicality |
| 相關次數: | 點閱:19 下載:0 |
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本研究旨在評估臺灣期貨交易所現行使用之保證金計算模型與風險測量,並探討替代方案的可行性。研究透過回溯測試與抗景氣循環測試,比較簡單移動平均法(SMA)與Heston 隨機波動度模型,以及風險值(VaR)與預期損失(ES)兩種風險測量在保證金計算上的適用性。實證結果顯示,Heston 模型在回溯測試中的表現明顯優於SMA模型,能更準確地捕捉市場風險動態。然而,在抗景氣循環能力方面,SMA模型展現出較佳的穩定性,有助於降低市場波動期間的資金需求。風險測量方面,ES在捕捉尾部風險與極端損失上較VaR具有優勢,特別在SMA模型下其效益更為明顯。本研究建議臺灣期交所在模型選擇上可根據其自身考量繼續使用SMA模型,並根據本研究實證結果搭配ES作為保證金風險測量。
This study aims to evaluate the current margin calculation methodologies employed by the Taiwan Futures Exchange (TAIFEX), and explore feasible alternative approaches. By conducting backtesting and anti-procyclicality tests, this research compares the Simple Moving Average (SMA) model with the Heston stochastic volatility model, as well as two risk measures, Value at Risk (VaR) and Expected Shortfall (ES), in terms of their applicability in margin calculation. Empirical results indicate that the Heston model sig nificantly outperforms the SMA model in backtesting, effectively capturing market risk dynamics. However, the SMA model demonstrates superior sta bility in anti-procyclicality tests. Regarding risk measures, ES shows a clear advantage over VaR in capturing tail risk and extreme losses when combined with the SMA model. Based on the empirical findings, this study suggests that TAIFEX could continue to employ the SMA model according to their practical considerations and adopt ES to enhance margin-setting effectiveness.
摘要 i
Abstract ii
Contents iii
ListofFigures v
ListofTables vi
1緒論 1
1.1研究背景 1
1.2研究動機 1
1.2.1風險值(VaR)之問題 2
1.2.2隨機波動度模型 2
1.2.3現行保證金制度在抗景氣循環能力的穩健性挑戰 3
1.3研究目標 3
1.4研究貢獻 4
1.5研究架構 5
2文獻回顧 6
2.1風險測量選擇之探討 6
2.2波動度模型選擇之探討 7
2.3保證金制度與順景氣循環性之探討 9
3研究方法 11
3.1風險測量 11
3.1.1風險值(ValueatRisk,VaR) 11
3.1.2預期損失(ExpectedShortfall,ES) 11
3.2隨機波動度模型 12
3.2.1簡單移動平均法(SimpleMovingAverage,SMA)模型 12
3.2.2 HestonModel 12
3.3風險測量和保證金計算 14
3.3.1保證金計算 14
3.3.2風險測量計算 15
3.4回溯測試和抗景氣循環測試 17
3.4.1回溯測試 17
3.4.2抗景氣循環測試 20
3.4.3穿透次數與抗景氣循環的抵換關係 21
4實證研究 22
4.1資料描述 22
4.2回溯測試結果 22
4.2.1回溯測試結果概要 22
4.2.2穿透次數、事後覆蓋率序列圖與Kupiec檢定結果 23
4.2.3最大損失比率序列圖 25
4.3抗景氣循環測試結果 26
4.3.1抗景氣循環測試結果概要 26
4.3.2最大相對增幅序列圖與單尾檢定結果 26
4.3.3峰谷比率序列圖與單尾檢定結果 27
4.3.4保證金標準差序列圖與單尾檢定結果 27
5結論與建議 29
5.1結論 29
5.2建議 30
References 32
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全文公開日期 2031/02/02