Optimal investment with vintage capital: Equilibrium distributions

The paper concerns the study of equilibrium points, or steady states, of economic systems arising in modeling optimal investment with vintage capital, namely, systems where all key variables (capitals, investments, prices) are indexed not only by time but also by age. Capital accumulation is hence described as a partial differential equation (briefly, PDE), and equilibrium points are in fact equilibrium distributions in the variable of ages. A general method is developed to compute and study equilibrium points of a wide range of infinite dimensional, infinite horizon, optimal control problems. We apply the method to optimal investment with vintage capital, for a variety of data, deriving existence and uniqueness of equilibrium distribution, as well as analytic formulas for optimal controls and trajectories in the long run. The examples suggest that the same method can be applied to other economic problems displaying heterogeneity. This shows how effective the theoretical machinery of optimal control in infinite dimension is in computing explicitly equilibrium distributions. To this extent, the results of this work constitute a first crucial step towards a thorough understanding of the behavior of optimal paths in the long run.     

道路交通对城市空间形态的影响

城市交通方式和道路系统的布局对城市的规模和空间结构分布具有重大影响 ,同样它作为重要的基础设施和对外交流通道对城市的发展方向也起着重大的引导作用。本文通过对道路交通的研究 ,揭示了城市的演变规律和发展趋势。     

分形理论在货运量预测中的应用探讨

在已有研究的基础上，提出了一种新的分形预测模型——等长度递补变维分形模型。首先阐述了等长度递补变维分形模型的基本原理；然后利用该模型对1990年～2004年我国货运量进行了预测，并利用后验差方法分析了模型的精度；最后利用模型预测了2005年～2010年我国货运量及其构成（铁路、公路和水运各自所占比重）.     

我国股票市场的混沌探析

运用混沌理论对我国股票市场进行了实证研究 ,结果显示我国股票市场是一个低自由度的混沌系统 ,具有自相似的非线性结构 ,并且这种非线性结构可以用 GARCH( 1 ,1 )模型来拟合。     

基于二进小波分析的电力系统瞬态信号研究

在多分辨率分析的基础上,采用二进正交小波变换对电力系统暂态信号进行了分析.将信号分解成许多细节部分和平滑部分(分别是信号的高频部分和细节部分),通过分析信号在各个尺度下的细节部分,从而可以对暂态信号的时域和频域进行定位.实验结果证实了方法的有效性.     

SEM图像分形维数的影响因素研究

以玻璃光纤、碳纤维纸和两种机加工表面样本的扫描电子显微镜图像为对象,运用盒维法研究了不同的放大倍数和采集过程中受到的噪声干扰对分形维数的影响.研究结果表明,随着放大倍数增大或随着椒盐噪声密度和高斯随机噪声方差的减小,分形维数下降.放大倍数和噪声对分形维数都有较大影响.在扫描电子显微镜图像分形维数的计算中,可以依据试样的结构特征选择合适的放大倍数,进行去噪处理后再计算图像的分形维数.     

Noisy chaotic dynamics in commodity markets

The nonlinear testing and modeling of economic and financial time series has increased substantially in recent years, enabling us to better understand market and price behavior, risk and the formation of expectations. Such tests have also been applied to commodity market behavior, providing evidence of heteroskedasticity, chaos, long memory, cyclicity, etc. The present evaluation of futures price behavior confirms that the resulting price movements can be random, suggesting noisy chaotic behavior. Prices could thus follow a mean process that is dynamic chaotic, coupled with a variance that follows a GARCH process. Our conclusion is that models of this type could be constructed to assist in forecasting prices in the short run but not over long run time periods.First version received: June 2001/Final version received: March 2003     

Bank loan versus financial lease: how do traditional and innovative approaches within the banking sector influence economic growth? A comparative analysis between the US and China

ABSTRACT

The argument over the effects of financial structures on economic growth remains unsettled. This study, therefore, compares the dynamic correlation and lead–lag relationship between the different financial approaches within the banking sector (that is, traditional bank loans versus innovative financial leasing) and economic growth. We employ a continuous wavelet analysis using time-series data from 1982–2017 from the US (the world’s largest developed country) and China (the world’s largest developing country). The empirical results show that (1) episodes of significant correlation usually emerge during periods of reform, crisis or policy implementation; and (2) in China, traditional banking promotes economic growth in the long term, while the real economy only imputes the evolution of banks during critical economic reforms in the short term. Meanwhile, financial leasing could only promote the development of the real economy under suitable regulation; and (3) in the US, before the crises, the irrational growth of the real economy could increase bank assets, while during the crises, the traditional banking approach harms economic growth, and after the crises, financial leases play an important role in recovery. Therefore, we suggest that policymakers should establish adequate policies and regulations to solve the situation.     

基于小波神经网络的企业技术创新能力模糊综合评价

在对企业技术创新能力系统进行分析的基础上,建立了企业技术能力评价指标体系并提出了基于小波神经网络的综合评价方法,采用模糊综合评价法生成评价样本集。仿真试验表明该方法用于企业技术创新能力综合评价的有效性与准确性,为企业技术创新能力的评价研究提供了一种新的模型。     

Exploring Portfolio Diversification Opportunities Through Venture Capital Financing: Evidence from MGARCH-DCC,Markov Switching,and Wavelet Approaches

Islamic financial institutions are being pressurized by critics to offer profit and loss sharing (PLS) financing, such as venture capital (VC) financing, for the purpose of entrepreneurial development aligned to the principle of equity risk sharing. Our study aims to link PLS investments with portfolio optimization opportunities for the Islamic asset managers. Using portfolio analysis with dynamic conditional correlation, Markov switching, and maximal overlap discrete wavelet transformation, our findings tend to indicate that there is indeed a portfolio optimization opportunity in investment universe for the fund managers who invested in PLS investments in the context of VC asset class over the long run.