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    Title: 台指選擇權之波動率-以馬可夫轉換模型分析
    Regime-switched Volatility of TAIEX Options Using Markov-switching variance model
    Authors: 陳宛頤
    Chen, Wan Yi
    Contributors: 謝淑貞
    Shieh, Shwu Jane
    陳宛頤
    Chen, Wan Yi
    Keywords: 馬可夫移轉
    波動率
    台指選擇權
    時間價值
    Markov-switching variance
    volatility
    TAIEX Options
    time value
    Date: 2015
    Issue Date: 2015-08-03 13:16:28 (UTC+8)
    Abstract: 本篇論文使用馬可夫移轉變異數模型探討台指選擇權之買權的波動性。馬可夫移轉變異數模型將條件變異設定為可隨時間變動而改變,甚至移轉到不同區間上。樣本在不同區間下的平滑機率估計值有助於捕捉資料特性,實證結果顯示當樣本落在高波動率區間上時,會對應著重大事件的發生,例如2004年台灣319槍擊案、2006年全球股災、2008年金融海嘯等。當樣本落在低波動率區間上時,會對應著投資人傾向將台股指數的上漲或下跌視為超漲或超跌,而賦予台指選擇權之買權負的時間價值。
    This paper investigates the volatility of TAIEX Call Options using Markov-switching variance model. The Markov-switching variance model allows the conditional disturbances to change as time passes and even switch between different regimes. The estimation of smoothed probabilities under different regimes facilitates to capture the characteristics of data. The empirical result shows that the high volatility regime is related to extraordinary events, such as 319 shooting incident in 2004, the global stock market crash in 2006, and the Financial Crisis in 2008. When in low volatility regime, investors tend to treat rise or fall in TAIEX as overreactions and give TAIEX Call Options turning points of time values.
    Reference: I. Chinese References

    王祝三,莊益源,張鐘霖(2003),「波動率模型預測能力的比較-以臺指選擇權為例」,臺灣金融財務季刊,4(2),41-63。
    吳仰哲,廖四郎,林士貴(2009),「Lévy與GARCH- Lévy過程之選擇權評價與實證分析:臺灣加權股價指數選擇權為例」,管理與系統,17(1),49-74。
    徐正憲(2014),「馬可夫轉換模型在黃金現貨、石油價格之實證研究」,政大統計系碩士論文。
    張志向(2006),「台指選擇權推出對領先落後關係的影響:內含價值與權利類型」,亞太經濟管理評論,10(1),1-26。
    郭玟秀,陳仁龍,邱永金(2010),「台指選擇權隱含波動率指標對真實波動率與指數報酬的資訊內涵之研究」,創新與管理,7(2),127-146。
    粘瑞益(1999/2006?),建構臺灣股市之隱含波動度避險模型—以馬可夫轉換模型為例,第六屆證券暨期貨金椽獎,市場組佳作。
    郭維裕,陳鴻隆,陳威光(2013),「選擇權市場效率性檢定;隱含波動率成對交易檢定法」,管理與系統,23(3),425-458。
    詹錦宏,施介人 (2005),「台股指數現貨、期貨與選擇權價格發現之研究」,臺灣金融財務季刊,6(1),31-51。

    Ⅱ. English References

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    Kim, C.J., Nelson, C.R., Startz, R. (1998), “Testing for mean reversion in heteroskedastic data based on Gibbs-sampling-augmented randomization,” Journal of Empirical Finances, 5, 131-154.
    Kim, C.J., Nelson, C.R. (1999), “State-space models with regime switching : classical and Gibbs-sampling approaches with applications,” 1st edition, 59-93, England, The MIT Press.
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    Smith, D.R. (2002), “Markov-switching and stochastic volatility diffusion models of short-term interest rates,” Journal of Business and Economic Statistics, 20, 183–197.
    Su et al. (2006), “Pricing and Hedging performance of Taiwan Stock Index Options under two-state volatility condition,” Proceedings of the 11th annual conference of Asia Pacific Decision Sciences Institute, June 14-18, 707-711.
    Turner, C.M., Startz, R., Nelson, C.R. (1989), “A Markov Model of Hetereskedasticity, Risk, and Learning in the Stock Market,” Journal of Financial Economics, 25, 3-22.
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    Description: 碩士
    國立政治大學
    國際經營與貿易研究所
    102351030
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G0102351030
    Data Type: thesis
    Appears in Collections:[Department of International Business] Theses

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