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題名 指數選擇權與指數期貨選擇權資訊內涵之比較與探討
作者 王真翔
貢獻者 杜化宇
王真翔
關鍵詞 指數選擇權
指數期貨選擇權
隱含波動度
歷史波動度
門檻自我迴歸
包含迴歸
日期 2003
上傳時間 2009-09-14
摘要 本研究嘗試探討股價指數期貨選擇權的資訊內涵,並與股價指數選擇權及歷史波動度的資訊內涵加以比較。我們的研究標的為2000年2月至2003年3月的S&P 500指數、指數選擇權及指數期貨選擇權,首先說明三個資料序列的敘述統計量,並使用單根檢定以確定資料序列為定態,符合迴歸分析的假設,再來探討原始隱含波動度的資訊內涵,然後嘗試以門檻自我迴歸模型修正隱含波動度,但檢定發現隱含波動度門檻效果並不存在,接下來以Christensen and Prabhala (1998)提出的工具變數修正隱含波動度,並探討修正後隱含波動度的資訊內涵,最後使用包含迴歸模型比較指數選擇權及指數期貨選擇權對指數的資訊內涵。得出結論如下:
     
      1.指數選擇權與指數期貨選擇權隱含波動度均具有指數已實現波動度充分資訊,指數選擇權的資訊內涵較指數期貨選擇權為高。指數選擇權與指數期貨選擇權隱含波動度均無法作為已實現波動度的不偏估計量。歷史波動度沒有隱含波動度未包含的資訊。隱含波動度的衡量誤差並不存在。
     
      2.指數選擇權與指數期貨選擇權隱含波動度門檻效果均不存在。前一期隱含波動度與當期隱含波動度並不顯著相關,歷史波動度與當期隱含波動度相關性較高,但使用上述兩種工具變數修正隱含波動度並不能增加對已實現波動度的解釋能力。
     
      3.指數選擇權對指數的資訊較指數期貨選擇權為多,但指數選擇權與指數期貨選擇權隱含波動度均含有對方所缺乏的解釋能力,沒有一個隱含波動度完全包含另外一個隱含波動度的資訊。
參考文獻 英文部分(依作者姓氏字母排列)
Beckers, S.(1981), “Standard deviations implied in option prices as predictors of future stock price variability”, Journal of Banking and Finance, vol. 5, 363-381.
Blair, Bevan J., Poon, Ser-Huang and Stephen J. Taylor, (2001), “Forecasting S&P 100 volatility : The incremental information content of implied volatilities and high frequency index returns”, Journal of Econometrics, vol. 100, 5-26
Bollerslev, Tim (1986), “Generalized autoregressive conditional heteroscedasticity ”, Journal of Econometrics, vol. 31, 307-327.
Brenner, Menachem, Courtadon, Georges and Marti Subrahmanyam, (1985), “Options on the spot and options on futures”, Journal of Finance, vol. 60, No.5, 1303-1317
Breusch, T. S. (1978), “Testing for autocorrelation in dynamic linear models”, Australian Economic Papers, vol. 17, 344-355.
Canina, Linda and Stephen Figlewski, (1993), “The informational content of implied volatility”, The Review of Financial Studies, vol. 6, No. 3, 659-681
Christensen, B.J. and N.R. Prabhala, (1998), “The relation between implied and realized volatility”, Journal of Financial Economics, vol. 50, 125-150
Davidson, Russell and James G. MacKinnon, (1981), “Several tests for model specification in the presence of alternative hypotheses”, Econometrica, vol. 49,781-793.
Day, Theodore E. and Craig M. Lewis, (1992), “Stock market volatility and the information content of stock index options”, Journal of Econometrics, vol. 52, 267-287
Dickey, D. A. and W. A. Fuller, (1979), “ Distribution of the estimates for autoregressive time series with a unit root”, Journal of the American Statistical Association, vol. 74, 427-431.
Dickey, D.A. and W.A. Fuller, (1981), “Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root”, Econometrica, vol. 49, 1057-1072.
Durbin, J., and G. S. Watson, (1950), ”Testing for serial correlation in least squares regression”, Biometrika, vol. 37, 409-428; vol. 38, 1951, 159-178.
Ederington, H. Lewis and Wei Guan, (2002), “Measuring implied volatility: Is an average better? Which average?”, Journal of Futures Markets, vol. 22, No. 9, 811-837
Enders, W. (1995), Applied Econometric Time Series, John Wiley & Sons, Inc.
Enders, W. (1996), RATS Handbook for Econometric Time Series, John Wiley & Sons, Inc.
Engle, Robert F. (1982), “Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation”, Econometrica, vol. 50, 987-1008.
Fleming, Jeff (1998), “The quality of market volatility forecasts implied by S&P 100 index option prices”, Journal of Empirical Finance, vol. 5, 317-345
Godfrey, L. G. (1978), “Testing against general autoregressive and moving average error models when the regressors include lagged dependent variables”, Econometrica, vol. 46, 1293-1302.
Granger, C.W.J. and P. Newbold, (1974), “Spurious Regressions in Econometrics”, Journal of Econometrics, vol. 2, 111-120
Han, Li-Ming and Lalatendu Misra, (1990), “The relationship between the volatilities of the S&P 500 index and futures contracts implicit in their call option prices”, Journal of Futures Markets, vol. 10, No. 3, 273-285
Harvey, C. and R. Whaley, (1991), “S&P 100 index option volatility”, The Journal of Finance,vol. 46,1551-1561.
Harvey, C. and R. Whaley, (1992), “Market volatility prediction and the efficiency of the S&P 100 index option market”, Journal of Finance Economics, vol. 31, 43-74.
Hull, J., Options, futures and other derivatives, 4th edition, Prentice Hall, Inc.
Hull, J. and A. White, (1987), “The pricing of options on assets with stochastic volatility”, The Journal of Finance, vol. 42, 281-300.
Jorion, P. (1995), “Predicting volatility in the foreign exchange market”, The Journal of Finance, vol. 50, no. 2, 507-528.
Mizon, E. Grayham and J. F. Richard, (1986), “The encompassing principle and its application to testing nonnested hypotheses”, Econometrica, vol. 54, 657-678.
Nelson, C. R. and Startz, R. (1990), “The distribution of the instrumental variable and its t-ratio when the instrument is a poor one”, Journal of Business, vol. 63, S125-S140.
Nelson, C. R.and Startz, R. (1990), “Some further results on the exact small sample properties of the instrumental variable estimator”, Econometrica, vol. 58, 967-976.
Nerlove, M. and K. F. Wallis, (1966), “Use of the Durbin-Watson statistic in inappropriate situations”, Econometrica, vol. 34, 235-238.
Shastri, K. and K. Tandon, (1986), “On the use of European models to price American options on foreign currency”, Journal of Futures Markets, vol. 6, 93-108.
Stoll, H. R. and R. E. Whaley, (1988), “The dynamics of stock index and stock index futures returns”, The Fuqua School of Business, Duke University, working paper 88-101.
Tsay, R. S. (1989), “Testing and modeling threshold autoregressive processes”, Journal of American Statistical Association, vol. 93, 1188-1202.
Tsay, R. S. (2002), Analysis of Financial Time Series, John Wiley & Sons, Inc.
描述 碩士
國立政治大學
財務管理研究所
90357003
92
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0090357003
資料類型 thesis
dc.contributor.advisor 杜化宇zh_TW
dc.contributor.author (作者) 王真翔zh_TW
dc.creator (作者) 王真翔zh_TW
dc.date (日期) 2003en_US
dc.date.accessioned 2009-09-14-
dc.date.available 2009-09-14-
dc.date.issued (上傳時間) 2009-09-14-
dc.identifier (其他 識別碼) G0090357003en_US
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/30963-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 財務管理研究所zh_TW
dc.description (描述) 90357003zh_TW
dc.description (描述) 92zh_TW
dc.description.abstract (摘要) 本研究嘗試探討股價指數期貨選擇權的資訊內涵,並與股價指數選擇權及歷史波動度的資訊內涵加以比較。我們的研究標的為2000年2月至2003年3月的S&P 500指數、指數選擇權及指數期貨選擇權,首先說明三個資料序列的敘述統計量,並使用單根檢定以確定資料序列為定態,符合迴歸分析的假設,再來探討原始隱含波動度的資訊內涵,然後嘗試以門檻自我迴歸模型修正隱含波動度,但檢定發現隱含波動度門檻效果並不存在,接下來以Christensen and Prabhala (1998)提出的工具變數修正隱含波動度,並探討修正後隱含波動度的資訊內涵,最後使用包含迴歸模型比較指數選擇權及指數期貨選擇權對指數的資訊內涵。得出結論如下:
     
      1.指數選擇權與指數期貨選擇權隱含波動度均具有指數已實現波動度充分資訊,指數選擇權的資訊內涵較指數期貨選擇權為高。指數選擇權與指數期貨選擇權隱含波動度均無法作為已實現波動度的不偏估計量。歷史波動度沒有隱含波動度未包含的資訊。隱含波動度的衡量誤差並不存在。
     
      2.指數選擇權與指數期貨選擇權隱含波動度門檻效果均不存在。前一期隱含波動度與當期隱含波動度並不顯著相關,歷史波動度與當期隱含波動度相關性較高,但使用上述兩種工具變數修正隱含波動度並不能增加對已實現波動度的解釋能力。
     
      3.指數選擇權對指數的資訊較指數期貨選擇權為多,但指數選擇權與指數期貨選擇權隱含波動度均含有對方所缺乏的解釋能力,沒有一個隱含波動度完全包含另外一個隱含波動度的資訊。
zh_TW
dc.description.tableofcontents 第一章、 緒論----------------------------------------1
     第一節、 研究動機與目的------------------------------1
     第二節、 研究架構------------------------------------3
     第二章、 理論與文獻探討------------------------------5
     第一節、 理論基礎------------------------------------5
     第二節、 文獻探討-----------------------------------10
     第三節、 本論文與前述文獻之相關性-------------------23
     第三章、 研究方法-----------------------------------25
     第一節、 單根檢定-----------------------------------25
     第二節、 工具變數-----------------------------------28
     第三節、 門檻自我迴歸模型與檢定---------------------33
     第四節、 包含迴歸-----------------------------------36
     第四章、 實証結果-----------------------------------40
     第一節、 資料來源與處理方法-------------------------40
     第二節、 敘述統計量---------------------------------42
     第三節、 單根檢定-----------------------------------43
     第四節、 隱含波動度資訊內涵-------------------------48
     第五節、 TAR效果探討與隱含波動度資訊內涵------------53
     第六節、 指數選擇權與期貨選擇權資訊內涵之比較-------58
     第五章、 結論與建議---------------------------------63
     第一節、 結論---------------------------------------63
     第二節、 研究限制與建議-----------------------------64
     參考文獻--------------------------------------------65
zh_TW
dc.language.iso en_US-
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0090357003en_US
dc.subject (關鍵詞) 指數選擇權zh_TW
dc.subject (關鍵詞) 指數期貨選擇權zh_TW
dc.subject (關鍵詞) 隱含波動度zh_TW
dc.subject (關鍵詞) 歷史波動度zh_TW
dc.subject (關鍵詞) 門檻自我迴歸zh_TW
dc.subject (關鍵詞) 包含迴歸zh_TW
dc.title (題名) 指數選擇權與指數期貨選擇權資訊內涵之比較與探討zh_TW
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) 英文部分(依作者姓氏字母排列)zh_TW
dc.relation.reference (參考文獻) Beckers, S.(1981), “Standard deviations implied in option prices as predictors of future stock price variability”, Journal of Banking and Finance, vol. 5, 363-381.zh_TW
dc.relation.reference (參考文獻) Blair, Bevan J., Poon, Ser-Huang and Stephen J. Taylor, (2001), “Forecasting S&P 100 volatility : The incremental information content of implied volatilities and high frequency index returns”, Journal of Econometrics, vol. 100, 5-26zh_TW
dc.relation.reference (參考文獻) Bollerslev, Tim (1986), “Generalized autoregressive conditional heteroscedasticity ”, Journal of Econometrics, vol. 31, 307-327.zh_TW
dc.relation.reference (參考文獻) Brenner, Menachem, Courtadon, Georges and Marti Subrahmanyam, (1985), “Options on the spot and options on futures”, Journal of Finance, vol. 60, No.5, 1303-1317zh_TW
dc.relation.reference (參考文獻) Breusch, T. S. (1978), “Testing for autocorrelation in dynamic linear models”, Australian Economic Papers, vol. 17, 344-355.zh_TW
dc.relation.reference (參考文獻) Canina, Linda and Stephen Figlewski, (1993), “The informational content of implied volatility”, The Review of Financial Studies, vol. 6, No. 3, 659-681zh_TW
dc.relation.reference (參考文獻) Christensen, B.J. and N.R. Prabhala, (1998), “The relation between implied and realized volatility”, Journal of Financial Economics, vol. 50, 125-150zh_TW
dc.relation.reference (參考文獻) Davidson, Russell and James G. MacKinnon, (1981), “Several tests for model specification in the presence of alternative hypotheses”, Econometrica, vol. 49,781-793.zh_TW
dc.relation.reference (參考文獻) Day, Theodore E. and Craig M. Lewis, (1992), “Stock market volatility and the information content of stock index options”, Journal of Econometrics, vol. 52, 267-287zh_TW
dc.relation.reference (參考文獻) Dickey, D. A. and W. A. Fuller, (1979), “ Distribution of the estimates for autoregressive time series with a unit root”, Journal of the American Statistical Association, vol. 74, 427-431.zh_TW
dc.relation.reference (參考文獻) Dickey, D.A. and W.A. Fuller, (1981), “Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root”, Econometrica, vol. 49, 1057-1072.zh_TW
dc.relation.reference (參考文獻) Durbin, J., and G. S. Watson, (1950), ”Testing for serial correlation in least squares regression”, Biometrika, vol. 37, 409-428; vol. 38, 1951, 159-178.zh_TW
dc.relation.reference (參考文獻) Ederington, H. Lewis and Wei Guan, (2002), “Measuring implied volatility: Is an average better? Which average?”, Journal of Futures Markets, vol. 22, No. 9, 811-837zh_TW
dc.relation.reference (參考文獻) Enders, W. (1995), Applied Econometric Time Series, John Wiley & Sons, Inc.zh_TW
dc.relation.reference (參考文獻) Enders, W. (1996), RATS Handbook for Econometric Time Series, John Wiley & Sons, Inc.zh_TW
dc.relation.reference (參考文獻) Engle, Robert F. (1982), “Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation”, Econometrica, vol. 50, 987-1008.zh_TW
dc.relation.reference (參考文獻) Fleming, Jeff (1998), “The quality of market volatility forecasts implied by S&P 100 index option prices”, Journal of Empirical Finance, vol. 5, 317-345zh_TW
dc.relation.reference (參考文獻) Godfrey, L. G. (1978), “Testing against general autoregressive and moving average error models when the regressors include lagged dependent variables”, Econometrica, vol. 46, 1293-1302.zh_TW
dc.relation.reference (參考文獻) Granger, C.W.J. and P. Newbold, (1974), “Spurious Regressions in Econometrics”, Journal of Econometrics, vol. 2, 111-120zh_TW
dc.relation.reference (參考文獻) Han, Li-Ming and Lalatendu Misra, (1990), “The relationship between the volatilities of the S&P 500 index and futures contracts implicit in their call option prices”, Journal of Futures Markets, vol. 10, No. 3, 273-285zh_TW
dc.relation.reference (參考文獻) Harvey, C. and R. Whaley, (1991), “S&P 100 index option volatility”, The Journal of Finance,vol. 46,1551-1561.zh_TW
dc.relation.reference (參考文獻) Harvey, C. and R. Whaley, (1992), “Market volatility prediction and the efficiency of the S&P 100 index option market”, Journal of Finance Economics, vol. 31, 43-74.zh_TW
dc.relation.reference (參考文獻) Hull, J., Options, futures and other derivatives, 4th edition, Prentice Hall, Inc.zh_TW
dc.relation.reference (參考文獻) Hull, J. and A. White, (1987), “The pricing of options on assets with stochastic volatility”, The Journal of Finance, vol. 42, 281-300.zh_TW
dc.relation.reference (參考文獻) Jorion, P. (1995), “Predicting volatility in the foreign exchange market”, The Journal of Finance, vol. 50, no. 2, 507-528.zh_TW
dc.relation.reference (參考文獻) Mizon, E. Grayham and J. F. Richard, (1986), “The encompassing principle and its application to testing nonnested hypotheses”, Econometrica, vol. 54, 657-678.zh_TW
dc.relation.reference (參考文獻) Nelson, C. R. and Startz, R. (1990), “The distribution of the instrumental variable and its t-ratio when the instrument is a poor one”, Journal of Business, vol. 63, S125-S140.zh_TW
dc.relation.reference (參考文獻) Nelson, C. R.and Startz, R. (1990), “Some further results on the exact small sample properties of the instrumental variable estimator”, Econometrica, vol. 58, 967-976.zh_TW
dc.relation.reference (參考文獻) Nerlove, M. and K. F. Wallis, (1966), “Use of the Durbin-Watson statistic in inappropriate situations”, Econometrica, vol. 34, 235-238.zh_TW
dc.relation.reference (參考文獻) Shastri, K. and K. Tandon, (1986), “On the use of European models to price American options on foreign currency”, Journal of Futures Markets, vol. 6, 93-108.zh_TW
dc.relation.reference (參考文獻) Stoll, H. R. and R. E. Whaley, (1988), “The dynamics of stock index and stock index futures returns”, The Fuqua School of Business, Duke University, working paper 88-101.zh_TW
dc.relation.reference (參考文獻) Tsay, R. S. (1989), “Testing and modeling threshold autoregressive processes”, Journal of American Statistical Association, vol. 93, 1188-1202.zh_TW
dc.relation.reference (參考文獻) Tsay, R. S. (2002), Analysis of Financial Time Series, John Wiley & Sons, Inc.zh_TW