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Heterogeneity, nonlinearity and endogenous market volatility
  • ISSN号:1009-6124
  • 期刊名称:Journal of Systems Science and Complexity
  • 时间:2011.12.12
  • 页码:1130-1142
  • 分类:O211.6[理学—概率论与数理统计;理学—数学] TU311.3[建筑科学—结构工程]
  • 作者机构:[1] School of Business, Hunan Normal University, Changsha 410081, China, [2] Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100190, China
  • 相关基金:This research is supported by MEXT Global COE Program (Kyoto University), National Natural Science Foundation of China under Grant No.71001036 and No. 71171186, Main Direction Program of Chinese Academy of Sciences KACX1-YW-0906, and the Scientific Research Fund of Hunan Provincial Education Department under Grant No. 10A082.
  • 相关项目:投资者异质性条件下基于人工金融市场的监管政策模拟研究
中文摘要:

这份报纸试图与异构的代理人在行为模型的解释力量上贡献文学。在场的作者是由动态噪音的非线性的确定的过程 buffeted 的一个新非线性的结构的证券市场模型。外长的噪音与基本的值的 IID 正常革新的假设被介绍给模型以便调查吵闹的动力学怎么与确定的过程交往。市场由二种典型商人类型组成:合理信奉正统派基督教的人和固定地合理的商人由贪婪和害怕管理了。当关键参数被改变,在噪音和确定的元素之间的相互作用决定系统的进化进程。作者发现模型能产生动态的展览和非常 S&P500 类似于那些的统计性质索引的时间系列,例如轻快聚类,胖尾巴(leptokurtosis ) ,在方形、绝对的回来的自相关,更大的振幅,碰撞和水泡。作者也在我们的数据调查非线性的依赖结构。结果显示 GARCH 类型模型不能完全在我们的模仿的市场说明所有非线性,它与从真实市场的结果因此一致。看起来非线性的结构的模型是更有力的给满足的解释比传统的随机的途径出售行为。

英文摘要:

This paper aims to contribute to the literature on the explanatory power of behavior models with heterogeneous agents. The authors present a new nonlinear structural stock market model which is a nonlinear deterministic process buffeted by dynamic noise. An exogenous noise is introduced to the model with the assumption of IID normal innovations of the fundamental value in order to investigate how noisy dynamics interacts with deterministic process. The market is composed of two typical trader types: the rational fundamentalists and the boundedly rational traders governed by greed and fear. The interaction between noise and deterministic element determines the evolution process of the system as key parameters are changed. The authors find the model is able to generate time series that exhibit dynamical and statistical properties closely resembling those of the S&:P500 index, such as volatility clustering, fat tails (leptokurtosis), autocorrelation in square and absolute return, larger amplitude, crashes and bubbles. The authors also investigate the nonlinear dependence structure in our data. The results indicate that the GARCH-type model cannot completely account for all nonlinearity in our simulated market, which is thus consistent with the results from real markets. It seems that the nonlinear structural model is more powerful to give a satisfied explanation to market behavior than the traditional stochastic approach.

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期刊信息
  • 《系统科学与复杂性学报:英文版》
  • 主管单位:中国科学院
  • 主办单位:中国科学院系统科学研究所
  • 主编:
  • 地址:北京东黄城根北街16号
  • 邮编:100080
  • 邮箱:
  • 电话:010-62541831 62541834
  • 国际标准刊号:ISSN:1009-6124
  • 国内统一刊号:ISSN:11-4543/O1
  • 邮发代号:82-545
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论(网络版),德国数学文摘,荷兰文摘与引文数据库,美国工程索引,美国科学引文索引(扩展库),英国科学文摘数据库
  • 被引量:125