A Conditional Variance Model for Daily Deviations of an Exchange Rate

A model for the distribution of daily deviations of an exchange rate is suggested. The distribution is Gaussian with a variance that depends on previous deviations. The model is applied to the exchange rate of the U.S. dollar to special drawing rights.     

Geometric ergodicity of nonlinear autoregressive models with changing conditional variances

The authors give easy‐to‐check sufficient conditions for the geometric ergodicity and the finiteness of the moments of a random process x_t = ?(x_t‐1,…, x_t‐p) + ?_tσ(x_t‐1,…, x_t‐q) in which ?: R^p → R, σ R^q → R and (?_t) is a sequence of independent and identically distributed random variables. They deduce strong mixing properties for this class of nonlinear autoregressive models with changing conditional variances which includes, among others, the ARCH(p), the AR(p)‐ARCH(p), and the double‐threshold autoregressive models.     

基于GARCH族模型的企业债信用价差动态过程研究

文章着眼于企业债信用价差时间序列,致力于确定和描述不同期限企业债信用价差的动态变化过程.实证研究结果有助于理解企业债信用价差的时序过程,帮助投资者和监管者分析和预测企业债的信用风险及其变化,以做出正确的投资决策和监管政策.     

A discrete-time risk model with Poisson ARCH claim-number process

Abstract

In this paper, we propose a discrete-time risk model with the claim number following an integer-valued autoregressive conditional heteroscedasticity (ARCH) process with Poisson deviates. In this model, the current claim number depends on the previous observations. Within this framework, the equation for finding the adjustment coefficient is derived. Numerical studies are also carried out to examine the impact of the Poisson ARCH dependence structure on the ruin probability.     

具有结构变化的资产定价模型的贝叶斯自回归条件异方差检验

在现代资产定价理论中,一个基本的假定是证券资产风险溢价满足方差齐性。然而,这样的假设未必是正确的,因此,需要对资产定价模型进行异方差的检验。本文在贝叶斯框架下考察了具有结构变化的资产定价模型,提出了检验该模型的回归条件异方差的贝叶斯检验方法。最后利用两个具体实例论证了所提方法的有效性。     

我国银行间同业拆借利率的动态研究——基于跳跃-扩散-机制转换模型的实证分析

针对我国短期利率易受政策影响,波动较大并存在结构变化等特点,构建了跳跃-扩散-机制转换模型,同时考察了银行间7天同业拆借利率的波动、跳跃和结构变化三种效应,发现我国同业拆借利率不仅具有均值回归特性而且还存在明显的跳跃与机制转换,并且该模型比其嵌套的受限模型表现更佳.在高波动状态下利率波动的水平效应和ARCH效应可以忽略...     

An algorithm for maximum likelihood estimation in incomplete block variance component models

In the recovery of interblock information to improve the treatment differences estimates in incomplete block designs, the parameter p is usually unknown. Many authors have worked on the problem of estimating it and of studying its properties together with the properties of the treatment differences estimates. In this paper a numerically efficient algorithm is developed which yields the maximum likelihood estimates (MLE) of all the parameters in the mixed incomplete block design model (treatment effects, ρ and variance)     

一个新的稳健ARCH检验和YJ-GARCH模型

 众所周知,Engle (1982) 的ARCH检验对于条件均值模型误设并不稳健,特别地,当条件均值是非线性过程而我们仅对之建立线性模型时,它过度地拒绝真实的原假设,导致出现严重的水平扭曲 (size distortion)。因此,本文在文献当中首次利用Yeo-Johnson变换方法来转换均值模型的因变量以排除ARCH 过程中均值部分的非线性,进而提出一个新的稳健ARCH检验以及一个新的GARCH模型——Yeo-Johnson (YJ) GARCH模型。蒙特卡罗模拟结果表明,稳健的ARCH检验在水平 (size) 和势 (power) 方面的表现要显著优于Engle (1982) 的ARCH检验。对上证综指收益率的实证研究结果表明,YJ-GARCH模型的拟合效果要显著优于线性GARCH模型。     

结合景气指数的GDP组合预测模型研究

文章首先对中国季度GDP序列建立了AR-GMDH预测模型;然后加入对GDP相关性较大的景气指数,建立了ARCH模型;最后利用GMDH自组织建模方法提出新的组合预测模型.对比分析各模型预测结果表明:两种单一模型预测误差均在可接受范围之内,基于GMDH组合的GDP预测模型的拟合和预测效果比单一模型更优.     

上证指数收益率的特征及其波动性分析

股票价格的频繁波动是股票市场最明显的特征之一。ARCH类模型可以很好地预测金融资产收益率的方差。通过对上证指数的统计分析表明,上证指数的收益率分布表现出非正态性,并存在自回归条件异方差的特征。利用ARCH类模型对上证指数的波动进行了拟合,结果表明GARCH(1,1)模型对上证指数波动具有较好的拟合效果。