簡易檢索 / 詳目顯示

研究生: 郭人杰
Jen-Chieh Kuo
論文名稱: 隱含波動度、偏態、峰態的資訊內容-TAIEX的實證研究
The informational content of implied volatility, skewness and kurtosis: The empirical evidence from TAIEX options
指導教授: 林丙輝
Bing-Huei Lin
口試委員: 王之彥
Jr-Yan Wang
葉仕國
Shih-Kuo Yeh
學位類別: 碩士
Master
系所名稱: 管理學院 - 財務金融研究所
Graduate Institute of Finance
論文出版年: 2007
畢業學年度: 95
語文別: 英文
論文頁數: 33
中文關鍵詞: 資訊內容隱含波動度Gram-Charlier模型
外文關鍵詞: Informational content, implied volatility, Gram
相關次數: 點閱:237下載:0
分享至:
查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報
  • 這篇論文主要討論的是資訊內容的隱含波動度、偏態、和峰態。這份研究使用的資料是台灣加權指數選擇權的資訊,採用的模型方面則是使用了Black-Scholes 模型、Gram/Charlier模型、和Bakshi, Kapadia, and Madan (2003)的模型。這份實證研究主要的發現,是歷史表徵數的預測能力似乎比模型中的隱含表徵數來的好,也是和許多學者研究結果較不同的地方。


    This paper addresses the informational content of option-implied volatility, skewness, and kurtosis. Using data from Taiwan futures options markets, we use
    implied risk-neutral distributions derived via the original Black/Scholes model, the Gram/Charlier series expansion approach proposed by Corrado and Su (1996), and
    the model of Bakshi, Kapadia, and Madan (BKM, 2003). We find the historical volatility outperform implied volatilities as a predictor of the subsequently realized volatility in the underlying futures prices over the remaining life of the option. As for the higher moments, historical estimates of higher moments in terms of forecasting ability in the majority of cases proven to be superior to implied higher moments from different models.

    Contents Chapter 1 Introduction………………………………………………..1 Chapter 2 Literature Review…………………………………………4 2.1 The option-implied volatility…………...………………………………….4 2.2 The effect of skewness and kurtosis………………………………………..7 Chapter 3 Methodology……………………………………………….9 3.1 The risk-neutral skewness and kurtosis……………………………………..9 3.2 The Gram-Charlier series expansion………………………………………13 3.3 Realized Moments…………………………………………………………15 3.3.1 Realized volatility……………………………………………………15 3.3.2 Realized higher moments….…………………………………………15 3.3.3 Historical moments….……………………………………….………16 Chapter 4 Empirical Results and Analyses…………………………17 4.1 Data………………………………………………………………………..17 4.2 Hypotheses………………………………………………………………...24 4.3 Empirical results……………………………………………………….......26 Chapter 5 Conclusion……………………………………………..…30 Reference ……………………………………………..…......................32 List of Tables and Figures Tables Table 1 Descriptive statistics for data……………………………………………...18 Table 2 Implied Volatility for data….……………………………………………...19 Table 3 Descriptive statistics for realized, historical, and implied moments………20 Table 4 Informational content of implied and historical volatilities……….………26 Table 5 Informational content of implied and historical skewness………...………28 Table 6 Informational content of implied and historical kurtosis………...………..29 Figures Figure 1 Examples of the evolution of realized, historical, Gram-Charlier, and Black-Scholes implied volatilities…………...…………………………………...22

    Reference
    Backus, D., Foresi, S., and Wu, L. (2004), Accounting for biases in Black-Scholes, Working Paper, Stern School of Business, New York University
    Bakshi, G., Kapadia, N., and Madan D. (2003), Stock return characteristics, skew laws, and the differential pricing of individual equity options, Review of Financial Studies, 16, 101-143
    Bakshi, G. and Madan, D. (2000), Spanning and derivative-security valuation, Journal of Financial Economics, 55, 205-238
    Beber, A. and Brandt, M. W. (2004), The effect of macroeconomic news on beliefs and preferences: Evidence from the options market, working paper, Duke University
    Beckers, S. (1981), Standard deviations implied in option prices as predictors of future stock price variability, Journal of Banking and Finance, 5, 363-381
    Black, F., and Scholes, M. (1973), The pricing of options and corporate liabilities, The Journal of Political Economy, 81, 637-654
    Blair, B. J., Poon, S. –H, and Taylor, S. J. (2001), Forecasting S&P 100 volatility: the incremental information content of implied volatilities and high-frequency index returns, Journal of Econometrics, 105, 5-26
    Bollerslev, T. (1986), Generalized autoregressive conditional heteroskedasticity, Journal of Econometrics, 31, 307-327
    Breeden, D. T., and Litzenberger, R. H. (1978), Prices of state-contingent claims implicit in options prices, The Journal of Business, 51, 621-651
    Christensen, B. J., and Prabhala, N. R. (1998), The relation between implied and realized volatility, Journal of Financial Economics, 50, 125-150
    Corrado, C. J., and Miller Jr., T. W. (2005), The forecasting quality of CBOE implied volatility indexes, The Journal of Future Markets, 25, 339-373
    Corrado, C. J., and Su, T. (1996), Skewness and kurtosis in S&P 500 index returns implied by option prices, Journal of Financial Research, 19, 175-192
    Cox, J. C., and Ross, S. A. (1976), The valuation of options for alternative stochastic processes, Journal of Financial Economics, 3, 145-166
    Day, T. E., and Lewis, C. M. (1992), Stock market volatility and the information content of stock index options, Journal of Econometrics, 52, 267-287
    Ederington, L. H. and Guan, W. (2002), Measuring implied volatility: Is an average better? Which average? , The Journal of Future Markets, 22, 811-837
    Engle, R. (1982), Autoregressive conditional heteroskedasticity with estimates of the variance of United Kingdom inflation, Econometrica, 50, 987-1008
    Gemmill, G. (1986), The forecasting performance of stock options on the London traded options market, Journal of Business Finance and Accounting, 13, 535-546
    Jarrow, R. and Rudd, A. (1982), Approximate Valuation for Arbitrary for Arbitrary Stochastic Processes, Journal of Financial Economics, 10, 349-369
    Navatte, P., and Villa, C. (2000), The informational content of implied volatility, skewness and kurtosis: The empirical evidence from long term CAC 40 options, European Financial Management, 6, 41-56
    Szakmary, A., Orsb, E., Kimc, J. K., and DavidsonⅢ, W. N. (2003), The predictive power of implied volatility: Evidence from 35 future markets, Journal of Banking and Finance, 27, 2151-2175
    Wilkens, S., and Roder, K. (2006), The informational content of option-implied distributions: Evidence from the Eurex index and interest rate futures options market, Global Finance Journal, 17, 50-74

    無法下載圖示 全文公開日期 2012/07/13 (校內網路)
    全文公開日期 本全文未授權公開 (校外網路)
    全文公開日期 本全文未授權公開 (國家圖書館:臺灣博碩士論文系統)
    QR CODE