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引文資料
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
/
黃淑菁
作者(外文):
Lee, Wo-chiang
/
Huang, 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 option
;
Quasi-Monte Carlo simulation
;
MGARCH
;
Fuzzy theory
原始連結:
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相關次數:
被引用次數:期刊(
1
) 博士論文(0) 專書(0) 專書論文(0)
排除自我引用:0
共同引用:0
點閱:50
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。
以文找文
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.
以文找文
期刊論文
1.
Stulz, René Marcel(1982)。Options on the Minimum or the Maximum of Two Risky Assets: Analysis and Applications。Journal of Financial Economics,10,161-185。
2.
Bratley, P.、Fox, B. L.(1988)。Algorithm 659: Implementing Sobol's Quasirandom Sequence Generator。ACM Trans. Math. Software,14(1),88-100。
3.
Boyle, P.、Evnine, J.、Gibbs, S.(1989)。Numerical Evaluations of Multivariate Contingent Claims。Review of Financial Studies,23(1),1-12。
4.
Boyle, P.、Tse, Y.(1990)。An Algorithm for Computing Values of Options on the Maximum or Minimum of Several Assets。Journal of Financial and Quantitative Analysis,25,215-227。
5.
Chang, P. T.、Lee, E. S.(1994)。The Estimation of Normalized Fuzzy Weights。Computers and Mathematics with Applications,5,22-42。
6.
Johnson, H.(1987)。Options on the Maximum or Minimum of Several Assets。Journal of Financial and Quantitative Analysis,22,277-283。
7.
Joy, C.、Boyle, P.、Tan, K. S.(1996)。Quasi Monte Carlo Methods in Numerical Finance。Management Science,42(6),926-936。
8.
Joe, S.、Kuo, F. Y.(2003)。Remark on Algorithm 659: Implementing Sobol’s Quasirandom Sequence Generator。ACM Transactions on Mathematical Software,29(1),49-57。
9.
Margrabe, W.(1978)。The Value of an Option to Exchange One Asset to Another。Journal of Finance,33(1),177-186。
10.
Moro, B.(1995)。The Full Monte。RISK,8(2),57-58。
11.
Rubinstein, M.(1994)。Return to Oz。RISK,7,67-71。
12.
Sobol, I. M.(1967)。On the Distribution of Points in a Cube and the Approximate Evaluation of Integrals。USSR. Computational Mathematics and Mathematical Physics,7,86-112。
13.
Wu, H. C.(2004)。Pricing European Options Based on the Fuzzy Pattern of Black-Scholes Formula。Computers and Operations Research,31(7),1069-1081。
14.
Zadeh, L. A.(1975)。The Concept of A Linguistic Variable and Its Application to Approximate Reasoning。Information Sciences,9,43-80。
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。
16.
Rubinstein, M.(1991)。Somewhere Over the Rainbow。RISK,4,63-66。
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。
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。
19.
Yager, R. R.(1981)。A Procedure for Ordering Fuzzy Subsets of the Unit Interval。Information Science,24,143-161。
20.
Engle, Robert F.、Kroner, Kenneth F.(1995)。Multivariate simultaneous generalized arch。Econometric Theory,11(1),122-150。
21.
Black, Fischer、Scholes, Myron S.(1973)。The Pricing of Options and Corporate Liabilities。Journal of Political Economy,81(3),637-654。
22.
Bollerslev, Tim(1986)。Generalized Autoregressive Conditional Heteroskedasticity。Journal of Econometrics,31(3),307-327。
23.
Bollerslev, Tim、Engle, Robert F.、Wooldridge, Jeffrey M.(1988)。A Capital Asset Pricing Model with Time-Varying Covariances。Journal of Political Economy,96(1),116-131。
24.
Bollerslev, Tim(1990)。Modelling the Coherence in Short-Run Nominal Exchange Rates: A Multivariate Generalized Arch Model。The Review of Economics and Statistics,72(3),498-505。
25.
Zadeh, Lotfi Asker(1965)。Fuzzy sets。Information and Control,8(3),338-353。
26.
Cox, John C.、Ross, Stephen A.、Rubinstein, Mark(1979)。Option Pricing: A Simplified Approach。Journal of Financial Economics,7(3),229-263。
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。
2.
Hans, N.、Bystrom, E.(2001)。Using Simulated Currency Rainbow Options to Evaluate Covariance Matrix Forecasts。Lund:Department of Economics, Lund University。
3.
Levy, G.(2002)。Multi-asset Derivative Pricing Using Quasi-Random Numbers and Monte Carlo Simulation。
4.
Gibson, M. S.、Boyer, B. H.(1998)。Evaluating Forecasts of Correlation Using Option Pricing。
5.
Pauletto, G.(2000)。Parallel Monte Carlo Methods for Derivative Security Pricing。Department of Economics, University of Geneva。
6.
Rubinstein, M.(2000)。On the Relation Between Binomial and Trinomial Option Pricing Models。
7.
Topper, J.(2001)。Finite Element Modeling of Exotic Options。University of Hannover。
8.
Topper, J.(2001)。Worst Case Pricing of Rainbow Options。
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。
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