含交易成本的分散投资利润研究

投资理论告诉人们，应尽量使投资分散化．但许多投资在实际投资中却常常违背这一原则．本从一个调面分析在一个等均值和有一个无风险资产的均方世界里，交易成本的存在，会使投资产生很强的违背分散化原则的动机。     

共同资金投资组合的有效边界与最优策略

本文利用均值方差模型,分析了非线性交易成本下的共同资金投资的有效边界和在一般的效用函数下讨论了最优投资组合和最大效用,其中只考虑风险资产的总投资比例对交易成本的影响.     

共同基金和无风险资产投资的最优策略

利用均值-方差模型,分析了非线性交易成本下的共同基金与无风险资产投资组合的有效边界和在一般的效用函数下讨论了投资者的最优投资策略.     

有交易成本的模糊最优化投资

本文针对交易成本在证券组合投资中的重要地位 ,提出了考虑交易成本 ,并兼顾收益与风险的模糊最优化投资模型 ,分析了交易成本对投资有效边界的影响 ,并给出了最优投资比例公式 .这对投资者进行投资有重要的理论与实践意义 .最后 ,通过释例进行了说明 .     

有交易成本的投资组合策略

金融市场都存在交易成本,为此,本文建立了有交易成本的投资组合模型,讨论了模型解的条件,并提出模型的通用数值解法,最后给出了应用举例．     

有交易成本的回望期权定价研究

基于标的资产价格的几何布朗运动假设，Black—Seholes模型运用连续交易保值策略成功解决了完全市场下的欧式期权定价问题。然而，在实际的金融市场中，存在着数量可观的交易成本。本文主要研究了在不完全市场下有交易成本的回望期权的定价问题，并且利用Ito公式，得到了在该模型下期权价格所满足的微分方程。     

带有交易成本和红利的最优消费投资策略研究

本文利用HJB方程粘性解理论,考虑带有红利收益和交易成本后,对现有最优消费投资模型作了推广,研究了投资者在带有红利和交易成本情形下的最优消费投资策略。     

考虑交易成本的一种新型资本市场线模型研究

本文利用均值 -方差模型 ,通过引进优良资产 ,在考虑了交易成本的前提下 ,利用优良资产特性推导出一种新的资本市场线     

摩擦市场中最优证券组合选择的极大极小法

在考虑交易成本的基础上,构造最优投资组合选择的极大极小模型,同时允许投资者卖空风险资产.在求解过程中,针对出现的非光滑函数,通过引入极大熵函数用光滑问题来逼近非光滑问题.最后推导出连续可微的方程组,可采用经典牛顿法求解.数值分析验证了该方法的有效性.     

具有现实约束的不确定均值—机会投资组合决策

本文将风险资产的收益看作梯形不确定变量,用机会约束表示风险控制(投资组合的实际收益低于预设的收益这一事件成立的机率不超过某一置信水平)。考虑最小交易量限制、基数约束、交易成本、借款约束和上下界约束,文章提出不确定均值——机会投资组合优化模型。该模型为全整数规划,精确算法难以在规定时间求出最优解,特别是当模型的规模较大时精确算法很难求解,文章设计一个遗传算法进行求解。最后通过实证研究分别对遗传算法进行可行性分析,对最大损失、置信度水平和投资组合中资产数量进行灵敏性分析,从而验证了模型和算法的有效性。     

人寿保险中的投资组合问题

本文考虑与寿险债务匹配的投资组合的一般结构,这种结构中包含了均值-方差有效组合.本文还给出了这种结构中的资产组合的选择和匹配方法以及最优投资组合,并且可以用来确定债务的均值.     

Long-term real dynamic investment planning

When long-term savers plan for retirement they need to know their investment prospects in terms of real income (Merton, 2014). While inflation has traditionally been considered as a complication in financial analysis and financial practise, we obtain enhanced predictability and model fit if the real returns are targeted in conjunction with earnings-by-price minus inflation as predictor. For this latter case, we propose an investment strategy of updating the simple classical Merton proportion as we go along. This simple strategy is very close to the complicated theoretically optimal solution but has comparably much lower parameter uncertainty.     

Strategic investment timing under asymmetric access charge regulation in telecommunications

In a liberalized telecommunications market, an incumbent has several advantages over any entrant. An asymmetric access charge regulation for two such asymmetric firms stimulates competitive investment. We show that an entrant with a cost disadvantage has an incentive to invest as a leader under an asymmetric access charge regulation. These results fit well with the findings of previous empirical work. Moreover, we also investigate the effects of an asymmetric access charge regulation on competitive investment strategies.     

最优投资组合和风险补偿

本文在M arkow itz均值-方差模型的基础上,引入风险补偿函数,研究了在投资组合中协方差、半协方差、负指数等目标函数之间的关系。     

具C-D函数的拉姆齐模型分析

本文给出了具 C- D函数的拉姆齐模型dkdt=Akα- c/ l - nkdcdt=σ(Aαkα-1-θ - n) c(R)并对该系统的性态作了数学分析且给出其经济意义 .     

我国民间资本投资模型及其实证研究

首先对西方国家投资函数模型进行了综述,在分析这些模型与我国实际情况的基础上建立我国民间投资函数模型,然后运用该模型对我国民间投资进行实证分析。结果表明：本文提出的模型不仅可行而且其预测误差比普通线性回归模型预测误差小得多。     

Making inefficient market indices efficient

This paper uses the concept of Marginal Conditional Stochastic Dominance and a generalization of the 50% Portfolio Rule to develop a tractable and parsimonious methodology for constructing a second degree Stochastic Dominance (SSD) efficient portfolio from a given, inefficient index. Because the SSD approach considers the entire probability distributions of asset returns, the resulting portfolios are efficient with respect to all risk-averse, utility-maximizing investors regardless of the form of their utility functions or the distributions of asset returns.     

Capital budgeting with benders decomposition

Capital budgeting problems with different interest rates for borrowing and lending and with possible limits on borrowing are applied to dual and primal decomposition. While the former fails if a dual gap exists, the latter becomes attractive. The paper elaborates dual and primal decomposition to capital budgeting models and discusses variants of the Benders scheme. A computer implementation is described and results of extensive computer runs with different strategies are reported which give proof of the efficiency of the implemented decomposition procedure.     

从反正弦律的角度看上海和香港股市

我们把第一反正弦律推广到不对称游动的模型,并得到了其极限性质。利用反正弦律的思想,本文从一个新的角度,即投资一直赢利的时间占总时间的比例,来比较了上海和香港股市。     

Simultaneous optimization of capacity and planned lead time in a two-stage production system with different customer due dates

We consider a two-stage make-to-order manufacturing system with random demands, processing times, and distributed customer due dates. The work to each stage is released based on a planned lead time. A general approach to minimize total inventory holding and customer order tardiness cost is presented to find the optimal manufacturing capacities and planned lead times for each manufacturing stage. Expressions are derived for work-in process inventories, finished-goods-inventory and expected backorders under the assumption of a series of M/M/1 queuing systems and exponentially distributed customer required lead times. We prove that the distribution of customer required lead time has no influence on the optimal planned lead times whenever capacity is predefined but it influences the optimal capacity to invest into. For the simultaneous optimization of capacity and planned lead times we present a numerical study that shows that only marginal cost decreases can be gained by setting a planned lead time for the upstream stage and that a considerable cost penalty is incurred if capacity and planned lead time optimization are performed sequentially.