Publications-Theses

Title台灣股市的波動外溢效果之研究
Creator吳旻容
Wu, Min Jung
Contributor饒秀華
Rau,Hsiu Hau
吳旻容
Wu, Min Jung
Key Words多變量
GARCH模型
波動性
外溢效果
不對稱性
multivariate
GARCH model
volatility
spillover effect
asymmetry
Date2007
Date Issued18-Sep-2009 14:14:27 (UTC+8)
Summary本研究使用相關係數隨時間變動的雙變量GARCH(1,1)模型(time-varying correlation bivariate GARCH(1,1) model),討論台灣股票市場中,大公司與小公司之間的報酬、衝擊(shock)、波動(volatility)是否互為影響為主軸。其次,為了了解不同估計方法、相關係數的設定和解釋變數對結果造成的影響,亦設立了3種模型,作為本研究的比較模型。
本研究發現大公司與小公司過去的報酬,存在雙向的報酬外溢效果。換句話說,大公司與小公司過去的報酬分別都對「本身報酬」有影響外,對「對方的報酬」也有影響。進一步發現到:大公司過去受到的衝擊和波動不僅對本身的條件變異數造成影響,也影響到小公司的條件變異數。但相反地,小公司過去受到的衝擊和波動,只對本身的條件變異數有影響,對大公司的條件變異數沒有影響,所以大、小公司間的衝擊外溢效果和波動外溢效果有不對稱的現象。
從不同模型之比較也發現,在討論大公司與小公司的報酬及波動時,應重視兩者彼此相互影響的關係,在估計時使用多變量的方法,以捕捉彼此相依的條件共變異數及條件變異數之動態過程。除此之外,也應考量兩者的相關係數隨時間變動的特性,及過去的波動對描述對方條件變異數的重要性。

關鍵字:多變量、GARCH模型、波動性、外溢效果、不對稱性
參考文獻 [1] 王元章(1990),交易量、股價波動性及波動性外溢─台灣股市之實證研究,中華財務學會1999年會暨財務金融學術論文研討會,pp.995~1016
[2] 王英明(2007),台股報酬波動與訊息到達之關係硏究,國立政治大學國際貿易硏究所,碩士論文
[3] 郭俊宏(2004),多變量條件變異數模型之比較分析,國立台灣大學經濟學硏究所,碩士論文
[4] Akaike(1973),Information theory and an extension of the maximum likelihood principle. In B.N. Petrov and F. Csaki(eds.),2nd International Symposium on Information Theory,pp.267~281
[5] Akgiray(1989),Conditional heteroskedasticity in time series of stock returns: Evidence and forecasts,Journal of Business 62,pp.55~80
[6] B.B.Mandelbrot (1963),The variation of certain speculative prices, The Journal of Business of the University of Chicago 36,pp.394~419
[7] Bollerslev(1986),Generalize autoregressive conditional heteroskedasticity.,Journal of Econometrics 31,pp.307~327
[8] Bollerslev, Engle, and Wooldridge(1988),A capital-asset pricing model with time-varying covariances,Journal of Political Economy 96,pp.116~131
[9] Bollerslev(1990),Modelling the coherence in short-run nominal exchange rates: Multivariate generalized ARCH approach,Review of Economics and Statistics 72,pp.498~505
[10] Chelley-Steeley and Steeley(1996),Volatility transmission in the UK equity market.,The European Journal of Finance 2,pp.145~160
[11] Chou, R. F. (1988),Volatility persistence and stock valuations: Some empirical evidence using GARCH,Journal of Applied Econometrics 3,pp.279~294
[12] Conrad, Gultekin, and Kaul(1991),Asymmetric predictable of conditional variances.,The Review of Financial Studies 4,pp.597~622
[13] Engle(1982),Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflations.,Journal of Financial Economics 19,pp.987~1007
[14] Engle and Kroner(1995),Multivariate simultaneous generalized ARCH, Econometric Theory 11,pp.122~150
[15] Engle(2002),Dynamic conditional correlation: A simple class of multivariate GARCH models,Journal of Business and Economic Statistics 20,pp.339~350
[16] French, Schwert, and Stambaugh(1987),Expected stock returns and volatility,Journal of Financial Economics 19,pp.3~29
[17] Glosten, Jagamnnathan, and Runkle(1993),On the relation between the expected value and the volatility of the nominal excess return on stocks,Journal of Finance 48,pp.1779~1801
[18] Hamao,Masulis,and Ng(1990),Correlation in price changes and volatility across international stock markets,The Review of Financial Studies,pp.281-307
[19] King and Wadhwani (1990),Transmission of Volatility between Stock
Markets.,Review of Financial Studies 3,pp.5~33
[20] Lo and Mackinlay(1990),When are contrarian profits due to stock market over-reaction?,Review of Financial Studies 3,pp.175~205
[21] Nelson(1991),Conditional heteroskedasticity in asset returns: A new approach, Econometrica 59,pp.347~370
[22] Pyun, Lee, and Nam(2000),Volatility and information flows in emerging equity market: A case of the Korean stock exchange.,International Review of Financial Analysis 9,pp.405~420
[23] Reyes(2001),Asymmetric volatility spillover in the Tokyo stock exchange.”,Journal of Economics and Finance 25,pp.206~213
[24] Ross(1989),Information and volatility: The no-arbitrate martingale approach to timing and resolution irrelevancy.,Journal of Finance 44,pp.1~17
[25] Schwert and Seguin(1990),Heteroskedasticity in stock returns,Journal of Finance 45,pp.1129~1156
[26] Tse and Tsui(2002),A multivariate GARCH model with time-varying correlations,Journal of Business & Economic Statistics 10,pp.351~362
Description碩士
國立政治大學
國際經營與貿易研究所
95351021
96
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0095351021
Typethesis
dc.contributor.advisor 饒秀華zh_TW
dc.contributor.advisor Rau,Hsiu Hauen_US
dc.contributor.author (Authors) 吳旻容zh_TW
dc.contributor.author (Authors) Wu, Min Jungen_US
dc.creator (作者) 吳旻容zh_TW
dc.creator (作者) Wu, Min Jungen_US
dc.date (日期) 2007en_US
dc.date.accessioned 18-Sep-2009 14:14:27 (UTC+8)-
dc.date.available 18-Sep-2009 14:14:27 (UTC+8)-
dc.date.issued (上傳時間) 18-Sep-2009 14:14:27 (UTC+8)-
dc.identifier (Other Identifiers) G0095351021en_US
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/35133-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 國際經營與貿易研究所zh_TW
dc.description (描述) 95351021zh_TW
dc.description (描述) 96zh_TW
dc.description.abstract (摘要) 本研究使用相關係數隨時間變動的雙變量GARCH(1,1)模型(time-varying correlation bivariate GARCH(1,1) model),討論台灣股票市場中,大公司與小公司之間的報酬、衝擊(shock)、波動(volatility)是否互為影響為主軸。其次,為了了解不同估計方法、相關係數的設定和解釋變數對結果造成的影響,亦設立了3種模型,作為本研究的比較模型。
本研究發現大公司與小公司過去的報酬,存在雙向的報酬外溢效果。換句話說,大公司與小公司過去的報酬分別都對「本身報酬」有影響外,對「對方的報酬」也有影響。進一步發現到:大公司過去受到的衝擊和波動不僅對本身的條件變異數造成影響,也影響到小公司的條件變異數。但相反地,小公司過去受到的衝擊和波動,只對本身的條件變異數有影響,對大公司的條件變異數沒有影響,所以大、小公司間的衝擊外溢效果和波動外溢效果有不對稱的現象。
從不同模型之比較也發現,在討論大公司與小公司的報酬及波動時,應重視兩者彼此相互影響的關係,在估計時使用多變量的方法,以捕捉彼此相依的條件共變異數及條件變異數之動態過程。除此之外,也應考量兩者的相關係數隨時間變動的特性,及過去的波動對描述對方條件變異數的重要性。

關鍵字:多變量、GARCH模型、波動性、外溢效果、不對稱性
zh_TW
dc.description.tableofcontents 目錄
1.緒論…………………………………………………………………………….6
2.文獻探討……………………………………………………………………….7
3.研究方法……………………………………………………………………….14
3.1單變量GARCH(1,1)模型
─[模型1]:單變量GARCH(1,1)模型…………………………………….15
3.2多變量GARCH(1,1)模型…………………………………………………..19
3.2.1[模型2]:雙變量GARCH(1,1)模型─相關係數為固定常數………19
3.2.2[主要模型]:雙變量GARCH(1,1)模型─相關係數隨時間變動…...23
3.2.3[模型3]:雙變量GARCH(1,1)模型─相關係數隨時間變動………24
(沒有考慮波動外溢效果)
4.觀察資料說明………………………………………………………………….26
4.1使用資料……………………………………………………………………26
4.2敘述性統計量及資料特性…………………………………………………26
5.實證結果……………………………………………………………………….30
5.1變數篩選……………………………………………………………………30
5.2模型檢查……………………………………………………………………32
5.3外溢效果……………………………………………………………………33
6.結論…………………………………………………………………………….42
參考文獻…………………………………………………………………………43


表目錄
表1:本研究與過去相關研究的比較…………………………………………12
表2:本研究使用的模型………………………………………………………15
表3:使用資料之敘述性統計量………………………………………………27
表4:使用資料之單根檢定……………………………………………………30
表5:使用資料在AR(p)模型,p=0~10時的AIC值…………………………..31
表6:使用資料在AR(4)模型時的係數估計………………………………….32
表7:[模型1]、[模型2]、[主要模型]、[模型3]的模型檢查……………….33
表8:[模型1]的估計結果……………………………………………………...34
表9:[模型2]的估計結果……………………………………………………...36
表10:[主要模型]的估計結果…………………………………………………38
表11:[模型3]的估計結果…………………………………………………….40
表12:本研究使用模型的實證結果…………………………………………..41


圖目錄
圖1:大公司與小公司的日報酬率取自然對數之後的樣本相關係數………...22
圖2:TWN50日報酬率取自然對數的ACF和PACF………………………….28
圖3:TM100日報酬率取自然對數的ACF和PACF…………………………..29
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dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0095351021en_US
dc.subject (關鍵詞) 多變量zh_TW
dc.subject (關鍵詞) GARCH模型zh_TW
dc.subject (關鍵詞) 波動性zh_TW
dc.subject (關鍵詞) 外溢效果zh_TW
dc.subject (關鍵詞) 不對稱性zh_TW
dc.subject (關鍵詞) multivariateen_US
dc.subject (關鍵詞) GARCH modelen_US
dc.subject (關鍵詞) volatilityen_US
dc.subject (關鍵詞) spillover effecten_US
dc.subject (關鍵詞) asymmetryen_US
dc.title (題名) 台灣股市的波動外溢效果之研究zh_TW
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) [1] 王元章(1990),交易量、股價波動性及波動性外溢─台灣股市之實證研究,中華財務學會1999年會暨財務金融學術論文研討會,pp.995~1016zh_TW
dc.relation.reference (參考文獻) [2] 王英明(2007),台股報酬波動與訊息到達之關係硏究,國立政治大學國際貿易硏究所,碩士論文zh_TW
dc.relation.reference (參考文獻) [3] 郭俊宏(2004),多變量條件變異數模型之比較分析,國立台灣大學經濟學硏究所,碩士論文zh_TW
dc.relation.reference (參考文獻) [4] Akaike(1973),Information theory and an extension of the maximum likelihood principle. In B.N. Petrov and F. Csaki(eds.),2nd International Symposium on Information Theory,pp.267~281zh_TW
dc.relation.reference (參考文獻) [5] Akgiray(1989),Conditional heteroskedasticity in time series of stock returns: Evidence and forecasts,Journal of Business 62,pp.55~80zh_TW
dc.relation.reference (參考文獻) [6] B.B.Mandelbrot (1963),The variation of certain speculative prices, The Journal of Business of the University of Chicago 36,pp.394~419zh_TW
dc.relation.reference (參考文獻) [7] Bollerslev(1986),Generalize autoregressive conditional heteroskedasticity.,Journal of Econometrics 31,pp.307~327zh_TW
dc.relation.reference (參考文獻) [8] Bollerslev, Engle, and Wooldridge(1988),A capital-asset pricing model with time-varying covariances,Journal of Political Economy 96,pp.116~131zh_TW
dc.relation.reference (參考文獻) [9] Bollerslev(1990),Modelling the coherence in short-run nominal exchange rates: Multivariate generalized ARCH approach,Review of Economics and Statistics 72,pp.498~505zh_TW
dc.relation.reference (參考文獻) [10] Chelley-Steeley and Steeley(1996),Volatility transmission in the UK equity market.,The European Journal of Finance 2,pp.145~160zh_TW
dc.relation.reference (參考文獻) [11] Chou, R. F. (1988),Volatility persistence and stock valuations: Some empirical evidence using GARCH,Journal of Applied Econometrics 3,pp.279~294zh_TW
dc.relation.reference (參考文獻) [12] Conrad, Gultekin, and Kaul(1991),Asymmetric predictable of conditional variances.,The Review of Financial Studies 4,pp.597~622zh_TW
dc.relation.reference (參考文獻) [13] Engle(1982),Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflations.,Journal of Financial Economics 19,pp.987~1007zh_TW
dc.relation.reference (參考文獻) [14] Engle and Kroner(1995),Multivariate simultaneous generalized ARCH, Econometric Theory 11,pp.122~150zh_TW
dc.relation.reference (參考文獻) [15] Engle(2002),Dynamic conditional correlation: A simple class of multivariate GARCH models,Journal of Business and Economic Statistics 20,pp.339~350zh_TW
dc.relation.reference (參考文獻) [16] French, Schwert, and Stambaugh(1987),Expected stock returns and volatility,Journal of Financial Economics 19,pp.3~29zh_TW
dc.relation.reference (參考文獻) [17] Glosten, Jagamnnathan, and Runkle(1993),On the relation between the expected value and the volatility of the nominal excess return on stocks,Journal of Finance 48,pp.1779~1801zh_TW
dc.relation.reference (參考文獻) [18] Hamao,Masulis,and Ng(1990),Correlation in price changes and volatility across international stock markets,The Review of Financial Studies,pp.281-307zh_TW
dc.relation.reference (參考文獻) [19] King and Wadhwani (1990),Transmission of Volatility between Stockzh_TW
dc.relation.reference (參考文獻) Markets.,Review of Financial Studies 3,pp.5~33zh_TW
dc.relation.reference (參考文獻) [20] Lo and Mackinlay(1990),When are contrarian profits due to stock market over-reaction?,Review of Financial Studies 3,pp.175~205zh_TW
dc.relation.reference (參考文獻) [21] Nelson(1991),Conditional heteroskedasticity in asset returns: A new approach, Econometrica 59,pp.347~370zh_TW
dc.relation.reference (參考文獻) [22] Pyun, Lee, and Nam(2000),Volatility and information flows in emerging equity market: A case of the Korean stock exchange.,International Review of Financial Analysis 9,pp.405~420zh_TW
dc.relation.reference (參考文獻) [23] Reyes(2001),Asymmetric volatility spillover in the Tokyo stock exchange.”,Journal of Economics and Finance 25,pp.206~213zh_TW
dc.relation.reference (參考文獻) [24] Ross(1989),Information and volatility: The no-arbitrate martingale approach to timing and resolution irrelevancy.,Journal of Finance 44,pp.1~17zh_TW
dc.relation.reference (參考文獻) [25] Schwert and Seguin(1990),Heteroskedasticity in stock returns,Journal of Finance 45,pp.1129~1156zh_TW
dc.relation.reference (參考文獻) [26] Tse and Tsui(2002),A multivariate GARCH model with time-varying correlations,Journal of Business & Economic Statistics 10,pp.351~362zh_TW
dc.relation.reference (參考文獻) zh_TW