Forecasting Stock Index Futures Price Volatility: Linear vs. Nonlinear Models

The study examines the relative ability of various models to forecast daily stock index futures volatility. The forecasting models that are employed range from naïve models to the relatively complex ARCH-class models. It is found that among linear models of stock index futures volatility, the autoregressive model ranks first using the RMSE and MAPE criteria. We also examine three nonlinear models. These models are GARCH-M, EGARCH, and ESTAR. We find that nonlinear GARCH models dominate linear models utilizing the RMSE and the MAPE error statistics and EGARCH appears to be the best model for forecasting stock index futures price volatility.     

中国货币需求函数的非线性特征——基于STAR模型的实证研究

通过应用STAR(平滑转换自回归)模型对我国货币需求的误差修正模型进行非线性的实证检验,结果证明该模型呈现显着的非线性特征.具体形武为指数平滑自回归(ESTAR),其转换变量为滞后一期的真实国民收入,转换速度显著,但是较慢,转换函数的料率值为-2.64.该结论与我国经济发展状况相吻合,反映了货币政策调控的时滞性.本文建议采用非线性模型研究货币需求函数,同时提高货币政策在不同机制的转换速度,降低时滞.     

New evidence of regional income divergence in post-reform Russia

This article investigates regional income convergence in Russia during 2000–2008. We test the hypothesis in which income divergence across regions of the country should give place to income convergence as the country moves toward free market economy with strong market institutions. The study contributes to the existing literature by using the exponential smooth autoregressive Augmented Dickey–Fuller (ADF) unit root test in a panel setup, a novel econometric technique, which encompasses cross sectional dependence. Results show strong evidence of on-going regional income divergence in post-reform period.     

中国实际利率平价的KSS非线性单位根检验

中国一直在进行资本和金融项目的渐进改革,通常描述和刻画这一经济规律变化的是利率平价理论。由于近十几年限制我国利率平价的制度约束条件均得到缓解,所以,本文利用基于ESTAR结构的KSS非线性单位根检验分析法,并连同ADF和PP检验一起对我国实际利率平价进行了实证,检验结果表明,实际利率平价假说成立,并遵循非线性稳态过程,利率的非对称调整导致信贷市场和金融市场的信息不对称。这说明短期内实际利率的调整特征是平滑转移的,在长期内,双边国家均无法实施相对独立的货币政策。     

THE EXTENT OF THE WORLD COFFEE MARKET

This paper employs a novel method to determine whether the prices of various types of coffee are co-integrated. In the spirit of Stigler's arbitrage definition of the market, an attempt is made to test whether all the prices co-integrate in pairs, implying that there is a single market for coffee. This test for co-integration is carried out using both linear and non-linear approaches. This finding demonstrates that the conclusions drawn from the linear and non-linear tests may be drastically different.     

Investigation of the nonlinear behaviour in real exchange rates in developing regions

This article examines whether the purchasing power parity (PPP) theory holds or not for the economies in different developing regions located in Africa, Asia and Latin America. In order to investigate this issue, a nonlinear panel unit root test is used to determine if some or all of the real exchange rates in a panel follow a stationary exponential smooth transition autoregressive process. By applying the nonlinear panel unit root test, our results demonstrate an empirical support for the theory of PPP for the economies in developing regions.     

London calling: Nonlinear mean reversion across national stock markets

This paper revisits empirical evidence of mean reversion of relative stock prices in international stock markets. We implement a strand of univariate and panel unit root tests for linear and nonlinear models of 18 national stock indices from 1969 to 2016. Our major findings are as follows. First, we find strong evidence of nonlinear mean reversion of the relative stock price with the UK index as the reference, calling attention to the stock index in the UK, but not with the US index. Our results imply an important role of the local common factor in the European stock markets. Second, panel tests yield no evidence of linear and nonlinear stationarity when the cross-section dependence is considered, which provides conflicting results from those of the univariate tests. Last, we show how to understand these results via dynamic factor analysis. When the stationary common factor dominates nonstationary idiosyncratic components in small samples, panel tests that filter out the stationary common factor may yield evidence against the stationarity null hypothesis in finite samples. We corroborate this conjecture via extensive Monte Carlo simulations.     

局部平稳性未知条件下基于ESTAR模型的单位根检验

文章探讨了局部平稳性未知情况下ESTAR模型的单位根检验,提出了修正的Wald统计量,通过模拟给出了其临界值,推导出了该统计量的极限分布,并分析了在有限样本下该统计量的特性。通过蒙特卡罗模拟,该检验统计量具有良好的检验水平和较高的检验功效,进一步通过模拟发现在全局平稳非线性ESTAR模型下,该修正的Wald统计量比KSS型统计量具有更高的检验功效。     

A new unit root test based on F-statistic in ESTAR framework

This article proposes a new F-type unit test in the exponential smooth transition autoregressive framework. We derive the asymptotic nonstandard distribution of the proposed test and explore its finite sample properties; simulation results show our test has greater power than the t_kss test proposed by Kapetanios et al.(2003). Finally, an application on the real exchange rates further underpins its superiority.     

我国通货膨胀与通货紧缩的非线性转换

本文应用ESTAR模型对我国通胀的非线性调节和通胀与通缩的非线性转换进行实证研究,研究结果表明我国通货膨胀具有显著的非线性调节,通胀与通缩的转换具有显著的非线性指数转换的特征,这种转换发生在滞后二期,转换的速度显著;我国通胀具有整体稳定性和局部非稳定性,由于我国通胀与通缩的临界水平c为3.3个百分点,表明我国通胀在3%左右的水平上处于非稳定运行状态;进一步,本文所估计的指数转换函数和c,基本准确地揭示了我国通胀的动态随机周期行为特征。本文的结论表明我国货币政策具有总体有效性和相机适宜性。