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題名:彩虹選擇權評價--傳統與模糊化Stulz模型之比較
書刊名:朝陽商管評論
作者:李沃牆 引用關係黃淑菁
作者(外文):Lee, Wo-chiangHuang, Shu-ching
出版日期:2006
頁次:頁23-57
主題關鍵詞:準蒙地卡羅法Sobol低差異序列模糊理論Rainbow optionQuasi-Monte Carlo simulationMGARCHFuzzy theory
原始連結:連回原系統網址new window
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本文自行設計金融類、傳產類、電子類及混合類四種組合之雙資產彩虹選擇權。根據過去學者研究之結果,以準蒙地卡羅法(Sobol低差異序列)模擬標的資產價何,再以MGARCH模型估計波動率,又採用移動相關係數,並代入Stulz評價模型,如此便可得到彩虹選擇權的理論價何。接著,藉由模糊化標的資產價格、波動率、相關係數以及距到期期間,形成模糊化Stulz模型再比較兩模型之差異;模糊化Stulz模型與傳統Stulz模型之評價結果經Wilcoxon符號等級檢定,顯示本文所新建立之模糊化Stulz模型是一種可行的評價方法。
In this article, we design four kinds of two-asset rainbow option, namely finance, conventional industries, electronic, mixed finance with electronic rainbow option respectively. In our empirical study, we use Quasi Monte Carlo Method for the simulation of underlying asset price. Additionally, we utilize MGARCH model for estimating volatility and put the moving correlation coefficient into pricing model. Then, we may obtain rainbow option’s theory price. Furthermore, we consider the fuzzy stock price, fuzzy volatility, fuzzy correlation coefficient and fuzzy maturity as input variables. Then, the fuzzy maturity as input variables. Then, the fuzzy pattern of Stulz formula is proposed in this paper. Empirical results and Wilcoxon sign test show that the Fuzzy-Stulz Model is a feasible pricing model.
期刊論文
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6.Johnson, H.(1987)。Options on the Maximum or Minimum of Several Assets。Journal of Financial and Quantitative Analysis,22,277-283。  new window
7.Joy, C.、Boyle, P.、Tan, K. S.(1996)。Quasi Monte Carlo Methods in Numerical Finance。Management Science,42(6),926-936。  new window
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14.Zadeh, L. A.(1975)。The Concept of A Linguistic Variable and Its Application to Approximate Reasoning。Information Sciences,9,43-80。  new window
15.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
16.Rubinstein, M.(1991)。Somewhere Over the Rainbow。RISK,4,63-66。  new window
17.Chu, S. H.、Freund, S.(1996)。Volatility Estimation for Stock Index Option: GARCH Approach。The Quarterly Review of Economics and Finance,36(4),431-450。  new window
18.Rubinstein, M.(1985)。Nonparametric Tests of Alternative Pricing Models Using All Reportd Trades and Quotes on the 30 Most Active CBOE Option Classes from August 23, 1976 Through 31, 1978。Journal of Finance,40,445-480。  new window
19.Yager, R. R.(1981)。A Procedure for Ordering Fuzzy Subsets of the Unit Interval。Information Science,24,143-161。  new window
20.Engle, Robert F.、Kroner, Kenneth F.(1995)。Multivariate simultaneous generalized arch。Econometric Theory,11(1),122-150。  new window
21.Black, Fischer、Scholes, Myron S.(1973)。The Pricing of Options and Corporate Liabilities。Journal of Political Economy,81(3),637-654。  new window
22.Bollerslev, Tim(1986)。Generalized Autoregressive Conditional Heteroskedasticity。Journal of Econometrics,31(3),307-327。  new window
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研究報告
1.Acworth, P.、Broadie, M.、Glasserman, P.(1996)。A Comparison of Some Monte Carlo and Quasi Monte Carlo Techniques for Option Pricing。  new window
2.Hans, N.、Bystrom, E.(2001)。Using Simulated Currency Rainbow Options to Evaluate Covariance Matrix Forecasts。Lund:Department of Economics, Lund University。  new window
3.Levy, G.(2002)。Multi-asset Derivative Pricing Using Quasi-Random Numbers and Monte Carlo Simulation。  new window
4.Gibson, M. S.、Boyer, B. H.(1998)。Evaluating Forecasts of Correlation Using Option Pricing。  new window
5.Pauletto, G.(2000)。Parallel Monte Carlo Methods for Derivative Security Pricing。Department of Economics, University of Geneva。  new window
6.Rubinstein, M.(2000)。On the Relation Between Binomial and Trinomial Option Pricing Models。  new window
7.Topper, J.(2001)。Finite Element Modeling of Exotic Options。University of Hannover。  new window
8.Topper, J.(2001)。Worst Case Pricing of Rainbow Options。  new window
圖書
1.Press, W. H.、Teukolsky, S. A.、Vetterling, W. T.、Flannery, B. P.(1992)。Numerical Recipes in Fortran: The Art of Scientific Computing。Cambridge University Press。  new window
 
 
 
 
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