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題名:GARCH模型之選擇權風險值計算--以臺灣加權股價指數選擇權為例
書刊名:風險管理學報
作者:張揖平 引用關係洪明欽 引用關係李雪真
作者(外文):Chang, Yi-pingHung, Ming-chinLee, Hsueh-chen
出版日期:2004
卷期:6:3
頁次:頁241-272
主題關鍵詞:風險值GARCH模型選擇權評價臺灣加權股價指數選擇權Value-at-RiskGARCH modelOption pricingTAIEX index option
原始連結:連回原系統網址new window
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     Black and Scholes(1973)發表了有名的Black-Scholes選擇權評價模型,自此選擇權評價逆成為重要的研究課題。雖然目前Black-Scholes模型已廣為各界所使用,但其股價波動度為常數之假設卻常與實際情況不節合。本文主要使用Duan(1995)所提出之GARCH選擇權評價模型,嘗試放寬股價波動度為常數之假設,以符合現實情況,並計算臺灣加權股價指數選擇權買權在存續期間每日的風險值(Value-at-Risk),最後以穿透率(violation rate)作為評比準則,比較各風險值計算方法之優劣。本文實證結果顯示,一般而言,GARCH選擇權評價模型較Black-Scholes選擇權評價模型更能準確估算臺灣加權股價指數選擇權之風險值。Black-Scholes選擇權評價模型更能準確估算臺灣加權股價指數選擇權之風險值。
     Black and Scholes (1973) developed the famous Black-Scholes option pricing model to price the options related derivatives. The assumption of constant volatility in Black-Scholes model has been show inconsistent with the market behavior in most empirical studies. In this paper, we release the constant volatility assumption by using the GARCH pricing model developed by Duan (1995). The purpose of this paper is to evaluate the option VaR estimation performances of various Black-Scholes and GARCH pricing models for options traded in Taiwan. In general, our empirical findings indicate the GARCH models perform better than the Black-Scholes models.
期刊論文
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2.Feuerverger, A.、Wong, A. C.(2000)。Computation of Value-at-Risk for Nonlinear Portfolios。Journal of Risk,3(1),37-55。  new window
3.Fong, H. G.、Lin, K. C.(199905)。A New Analytical Approach to Value at Risk。The Journal of Portfolio Management,25,88-97。  new window
4.Jaschke S. R.(2002)。The Cornish-Fisher Expansion in the Context of Delta-gamma-normal Approximations。Journal of Risk,4(4),33-52。  new window
5.Kupiec, P. H.(1995)。Techniques for Verifying the Accuracy of Risk Measurement Methods。Journal of Derivatives,3(2),73-84。  new window
6.Britten-Jonse, M.、Schaefer, S. M.(1999)。Non-linear Value-at-Risk。European Finance Review,2,161-187。  new window
7.Duan, Jin-Chuan、Simonato, Jean-Guy(1998)。Empirical martingale simulation for asset prices。Management Science,44(9),1218-1233。  new window
8.Duffie, D.、Pan, J.(1997)。An Overview of Value at Risk。The Journal of Derivatives,4(3),7-49。  new window
9.Fama, E. F.(1965)。The behavior of stock market price。Journal of Business,38(1),34-105。  new window
10.Boyle, Phelim P.、Broadie, Mark、Glasserman, Paul(1997)。Monte Carlo Methods for Security Pricing。Journal of Economic Dynamics and Control,21(8/9),1267-1321。  new window
11.Berndt, Ernst R.、Hall, Bronwyn H.、Hall, Robert E.、Hausman, Jerry A.(1974)。Estimation and Inference in Nonlinear Structural Models。Annals of Economic and Social Measurement,3(4),653-665。  new window
12.Duan, J.-C.(1995)。The GARCH Option Pricing Model。Mathematical Finance,5(1),13-32。  new window
13.Black, Fischer、Scholes, Myron S.(1973)。The Pricing of Options and Corporate Liabilities。Journal of Political Economy,81(3),637-654。  new window
14.Bollerslev, Tim(1986)。Generalized Autoregressive Conditional Heteroskedasticity。Journal of Econometrics,31(3),307-327。  new window
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圖書
1.Dowd, K.(2002)。Measuring Market Risk。New York:John Wiley and Sons, Inc.。  new window
2.Jorion, Philippe(2000)。Value at Risk: The New Benchmark for Controlling Market Risk。New York, NY:McGraw-Hill Publishing。  new window
3.Glasserman, Paul(2004)。Monte Carlo Methods in Financial Engineering。New York:Springer。  new window
圖書論文
1.Morgan, J. P.(1996)。RiskMetrics TM。Technical Document。New York。  new window
 
 
 
 
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