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Stochastic chaos or ARCH effects in stock series?: A comparative study   总被引:2,自引:0,他引:2  
Recent empirical studies have shown that the chaotic behaviour and excess volatility of financial series are the result of interactions between heterogeneous investors. In our article, we propose verifying this hypothesis. Thus, we use the Chen et al. [Testing for non-linear structure in an artificial financial market. Working Paper, University of Bonn (2000).] model to show that the modification of the agents' homogeneity hypothesis can drive to stochastic chaotic evolution of price series. Then, through an econometric procedure, we try to identify the underlying process of the Paris Stock Exchange returns series (CAC40). To this end, we apply several different tests: (1) dealing with long-memory components derives from the fractional integration test of Geweke and Porter-Hudak (GPH) [J. Time Ser. Anal. 4 (1983) 221.] and (2) dealing with chaotic structures comes from the work on correlation dimension of Grassberger and Procaccia [Physica 9D (1983) 189.] and the Lyapunov exponents method of Gençay and Dechert [Physica D (1992) 142.]. Finally, we forecast the CAC40 returns series using the recent methods of Principal Components Regression (PCR) and Radial Basis Functions (RBF). We conclude with the implications of the presence of chaotic structures in stock markets and future research on ARCH and chaotic models' relationships.  相似文献
FDI chaos and control in China   总被引:1,自引:0,他引:1  
A chaotic system describing the FDI in China is investigated. Two-dimensional map of the system has been controlled by the use of time delay feedback method. Our numerical simulation results have indicated that the FDI chaos in China can be controlled by the intervention of the government. The intervention (or control force) cannot be too big, otherwise the control process has no economic significance. The factors affecting FDI are also discussed in the paper.  相似文献
H. Wang and C. Wang [Visibility of the compass rose in financial asset returns: A quantitative study, J. Bank. Financ. 26 (2002), 1099–1111] derive a measure of the visibility of the radial patterns that appear in a plot of current and past returns, which are more commonly known as the compass rose. In theory, this measure should be positively related to the tick/volatility ratio. In practice however, we find that this relationship does not hold for higher tick/volatility ratios that are common to stock market data. Thus, the use of this measure is limited in real world applications. We propose a correction factor that improves the behaviour of the quality measure over higher tick/volatility ratios, however, further research is required to fully identify and correct the problem.  相似文献
Interest in the relevance of nonlinear dynamics to fields such as finance and economics has spurred the development of new methods of analysis for time series data. Early tests for chaos led to problems when applied to financial and economic data. This motivated development of the BDS family of statistics to test for nonlinearity generally. More recently, another method of analysis has been introduced into the scientific literature. It uses a test for chaos which is relatively simple and appropriate for financial data. A quantitative version of this test is developed here and is used to analyze stock return data.  相似文献
This paper presents a new approach to interest rate dynamics. We consider the general family of arbitrage-free positive interest rate models, valid on all time horizons, in the case of a discount bond system driven by a Brownian motion of one or more dimensions. We show that the space of such models admits a canonical mapping to the space of square-integrable Wiener functionals. This is achieved by means of a conditional variance representation for the state price density. The Wiener chaos expansion technique is then used to formulate a systematic analysis of the structure and classification of interest rate models. We show that the specification of a first-chaos model is equivalent to the specification of an admissible initial yield curve. A comprehensive development of the second-chaos interest rate theory is presented in the case of a single Brownian factor, and we show that there is a natural methodology for calibrating the model to at-the-money-forward caplet prices. The factorisable second-chaos models are particularly tractable, and lead to closed-form expressions for options on bonds and for swaptions. In conclusion we outline a general international model for interest rates and foreign exchange, for which each currency admits an associated family of discount bonds, and show that the entire system can be generated by a vector of Wiener functionals.Received: March 2004, Mathematics Subject Classification (2000): 91B28, 91B30, 91B50, 60H07JEL Classification: E43We are grateful to J. Boland, D. Brody, P. Carr, M. Davis, F. Delbaen, D. Filipovi, R. Jarrow, M. Grasselli, P. Hunt, T. Hurd, D. Madan, P. Malliavin, H. Rasmussen and M. Zervos for stimulating discussions. We thank D. Brody, M. Grasselli, T. Hurd and M. Zervos, in particular, for suggesting a number of improvements in the arguments presented here. We are grateful for helpful comments by participants at the Frontiéres en Finance seminar, Paris, May 2002, the Mathematics in Finance conference, Kruger Park, RSA, August 2002, the Imperial College finance seminar, February 2003, the 13th annual Derivative Securities Conference, New York, April 2003, the Analysis of Random Markets Workshop, Banach Center, Warsaw, October 2003 and the Quantitative Methods in Finance Conference, Sydney, December 2003, where this work was presented. LPH acknowledges the hospitality of the Institute for Advanced Study, Princeton, where part of this work was carried out. AR acknowledges financial support from the Department of Mathematics, Kings College London.  相似文献
金融是现代经济的核心。金融系统的安全、稳定是经济社会稳定发展的关键。金融系统在运行过程中发生因确定性失稳而出现诸如金融市场的剧烈动荡、金融危机等金融混沌现象,给经济的增长与社会的稳定带来了很大的负面影响。从微观方面分析金融混沌的形成机制,研究发现金融混沌的形成主要是由金融市场固有的缺陷、过度的金融创新以及金融监管的缺失三方面因素共同作用的结果。探讨金融混沌的形成机制有助于为防范与控制金融混沌指明方向。  相似文献
建立科学的金融风险管理机制是我国当前急需解决的重大任务,而混沌理论与金融风险管理理论具有良好的内在契合性。文章深入论述了混沌理论在金融风险管理中的应用背景,分析了混沌现象与金融风险事件的理论,探讨了混沌理论视阈下金融风险管理机制,提出了从混沌理论透视金融风险决策困境的应对方案,说明了混沌思维的确立与金融风险管理的创新之间的关系,最后得出基于混沌理论研究金融风险管理问题的必要性与可行性结论。  相似文献
以金融混沌理论为代表的非线性金融理论是金融研究与金融实务领域的一个前沿工具.已有的研究表明金融市场是一个复杂的动力系统,具有显著的混沌效应.本文依据混沌控制的一般原理,提出了金融市场风险调控的原理与方法.这一研究结果将为探索金融市场与风险管理理论提供新的方向.  相似文献
美国的次贷危机引发的全球经济危机,让我们重新审视投资风险管理在金融领域扮演的重要角色,特别对于中国等发展中国家来说,风险管理显得尤为重要,另一方面宏观经济系统普遍存在混沌现象,这种非线性的动力学给予了投资风险管理很大的发展空间,本文在对投资风险管理进行混沌特性分析的基础上,基于房地产市场的投资风险管理进行了混沌控制的实证分析,并对控制变量进行了动态区间分析,最后提出政策建议。  相似文献
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