统计研究 ›› 2012, Vol. 29 ›› Issue (3): 79-87.

• 论文 • 上一篇    下一篇

门限协整套利:理论与实证研究

葛翔宇等   

  • 出版日期:2012-03-15 发布日期:2012-03-22

Threshold Cointegration Arbitrage:Theory and Application

Ge Xiangyu et al.   

  • Online:2012-03-15 Published:2012-03-22

摘要: 不同市场上的同质或相似商品的价格存在长期均衡关系,当价格偏离均衡时,由于套利交易的存在,偏离会迅速回到均衡。在一定的门限值以外,二者服从协整关系,在门限值以内,二者没有协整关系,这种关系称为门限协整。本文在Balke,Fomby(1997)[1]和Hasen(1996)[6]的基础上提出了基于门限向量误差修正模型(T-VECM)的sup-Wald检验,用Bootstrap方法模拟统计量的渐进分布,验证了英国富时指数期货(uk100)和德国法兰克福指数期货(ger30)的门限协整关系,并用Hasen,Seo(2002)[11]提出的极大似然估计方法(MLE)同时估计出门限参数和协整向量,并给出了在这种门限协整关系下进行跨市场无风险套利的策略。

关键词: 门限协整, 跨市场套利, 股指期货, 门限误差修正模型, Bootstrap

Abstract: There exists a long-run stability relation between similar commodities traded at different markets.When the price differential deviates from equilibrium,it will return to the no-arbitrage region.They obey cointegration relation when the price differential excceeds a critical threshold,whearas they are not cointegrated inside the threshold,which is defined as threshold cointegration.In this article,We put forward a method of sup-Wald test based on threshold vector ECM model on the work of Balke,Fomby and Hasen,and simulate the asymptotic ditribution of the statistic using the method of Bootstrap,giving the presence of threshold effect between uk100 and ger30 index future,we estimated the threshold parameter and cointegrating vector simultaneously,and promoted an arbitrage strategy under this cointegration relation.