研究生: |
李建欣 Chien-Hsin Li |
---|---|
論文名稱: |
GARCH 與不連續跳躍效果之選擇權評價模型:準蒙地卡羅法 Option Pricing with GARCH Effect and Discontinuous Jumps:Quasi-Monte Carlo Simulation |
指導教授: |
林丙輝
Bing-Huei Lin |
口試委員: |
徐中琦
Jonchi Shyu 洪茂蔚 Mao-Wei Hung 張傳章 Chuang-Chang Chang |
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: | 2006 |
畢業學年度: | 94 |
語文別: | 英文 |
論文頁數: | 41 |
中文關鍵詞: | 不對稱跳躍 、準蒙地卡羅 、選擇權定價模型 |
外文關鍵詞: | quasi-Monte Carlo, option pricing model, GARCH-Jump |
相關次數: | 點閱:258 下載:2 |
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隨著選擇權在台灣期貨交易所的成交量日漸增加,如何正確且快速的定價選擇權也日漸重要。Black 及 Sholes (1973) 提供了一個相當有用的定價模型,但卻有太多不合理的限制。本篇論文使用了Duan、Ritchen 及Sun (2006)的定價模型,其模型包含了GARCH 及跳躍過程。藉由Silva 及Barbe (2005)提供的方式,我們使用調整後的準蒙地卡羅模擬去改善模擬的效率以得到正確的選擇權價格。
With the trade volume increasing in TAIEX option, how to price the options correctly and quickly becoming more and more important. Black and Sholes (1973)
provided a useful model to price the options; however, it has many estrictions. In the paper, we introduce the option pricing model developed by Duan, Ritchen and Sun (2006) which both GARCH and jump processes are included. By applying the
quasi-Monte Carlo simulation method adjusted by Silva and Barbe (2005), we improve the efficiency of simulation.
1.Bates, D. (2000), “Post-'87 Crash Fears in the S&P 500 Futures Option Market,”Journal of Econometrics, Vol.94, pp. 181-238.
2.Black, F. and M. Scholes (1973), “The Pricing of Options and Corporate
Liabilities,” Journal of Political Economy, Vol. 81, pp. 637-659.
3.Crowin, J., P. P. Boyle, and K.S. Tan (1996), “Quasi-Monte Carlo Methods in
Numerical Finance,” Management Science, Vol. 42, pp. 926-938.
4.Duan , J. (1995), “The GARCH Option Pricing Model,” Mathematical Finance, ,
Vol. 5, pp. 13-32.
5.Duan, J. (1997), “Augmented GARCH (P,Q) Process and Its Diffusion Limit,”
Journal of Econometrics, Vol. 79, pp. 97-127.
6.Duan, J., P. Richken and Z. Sun (2006), “Approximating GARCH-Jump Models,
Jump-Diffusion Processes, and Option Pricing,” Mathematical Finance, Vol. 16,
pp. 21-52.
7.Duan, J., P. Ritchken, and Z. Sun (2005), “Jump Starting GARCH: Pricing And
Hedging Options with Jumps in Returns and Volatilities,” Working Paper,
University of Toronto and Case Western Reserve University.
8.Engle, R. F. and Ng. V. K. (1993), “Measuring and Testing the Impact of News on Volatility,” Journal of Finance, Vol. 48, pp. 1749-1778.
9.Engle, R.F. (1982), “Autoregressive Conditional Heteroskedasticity with
Estimates of the Variance of United Kingdom Inflation,” Econometrica, Vol. 50,
pp. 987-1008.
10. Heston, S. (1993), “A Closed-Form Solution for Options with Stochastic
Volatility,” Review of Financial Studies, pp. 327-344.
11. Hull, J. and A. White (1987), “The Pricing of Options on Assets with Stochastic Volatility,” Journal of Finance, pp281-300.
12. Merton, R. (1976), “Option Pricing When The Underlying Stock Returns Are
Discontinuous,” Journal of Financial Economics, pp. 125-144.
13. Nelson, D. B. (1990), “ARCH Models As Diffusion Approximations,” Journal of Econometrics, Vol. 45, pp. 7-38.
14. Ripley, B.D. (1987), “Stochastic Simulation” Wiley, New York.
15. Silva, M. E. and T. Barbe (2005), “Quasi-Monte Carlo in Finance: Extending for Problems of High Effective Dimension,” Economia Aplicada, Vol. 9, pp. 577-594.
16. Taylor, S. (1986), “Modeling Financial Time Series,” Wiley, New York.