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1.
最小风险证券组合的结构分析和迭代算法   总被引:1,自引:0,他引:1  
本文分析了最小风险组合证券投资的结构特征,并提出了一种组合证券风险最小化的迭代算法,证明了其收敛性.该算法操作简单,且易于处理不允许卖空情况下的证券组合问题.  相似文献   

2.
针对期望收益率与风险损失率为区间值模糊数的特征,就证券组合投资问题建立了一种区间值模糊线性规划模型,运用一种对区间值模糊数排序的新算法,将模型转化为经典的线性规划问题进行求解,最后通过一个算例说明其有效性和可靠性,为证券组合投资优化问题的解决提供了一种新的方法,对证券组合的理性投资具有重要的指导意义.  相似文献   

3.
在现实的证券市场中,存在许多混合不确定性因素对证券的收益率产生影响.本文的目的是建立糊随机环境下带个人偏好的投资组合决策模型.在模糊随机环境下将证券的收益率视为模糊随机变量,同时考虑到投资者的偏好,提出入均值和投资者的风险曲线的概念,他们分别反映投资组合的收益和风险.文中给出新的入均值有效投资组合和入均值有效前沿的概念,探讨新的投资组合的收益率与偏好参数入的关系;最后本文采用混合智能算法进行实例分析,结果表明本文所提模型是可行性的.  相似文献   

4.
证券投资组合的原理及其应用   总被引:1,自引:0,他引:1  
本文利用概率统计原理对证券投资组合能减轻所遇风险带来的损失作了深刻的讨论,并介绍了多种证券投资组合方案的选择及如何在多种证券中选出几种进行投资组合  相似文献   

5.
孙江洁 《大学数学》2013,29(2):71-74
基于区间证券组合的系统风险与非系统风险问题,建立一种新的含β约束的区间证券投资组合的多目标优化模型,使得证券组合投资更具柔性,最后,结合实例分析了该模型的现实应用价值.  相似文献   

6.
基于多目标CVaR模型的证券组合投资的风险度量和策略   总被引:1,自引:0,他引:1  
本文首先定义了多损失函数下的-αVaR,-αCVaR损失值以及-αCVaR损失值的等价函数,给出了多目标CVaR模型.然后,基于多目标CVaR模型,建立了一个多目标证券组合投资优化模型,得出在多置信水平下的证券组合投资比例和CVaR值,据此建立一种证券组合投资的降低风险优化模型.其降低风险策略是在收益率不变的情形下降低风险和总投资比例.数值实验表明,这种策略是可以通过明显地减少总投资比例来达到降低风险的目的.  相似文献   

7.
研究非负投资比例系数约束条件下,实现风险最小化的组合证券投资问题.应用罚函数法,对最小风险组合证券的非负投资比例系数进行研究.实例表明:这一方法是可行的、有效的.  相似文献   

8.
证券投资组合理论的一种新模型及其应用   总被引:4,自引:0,他引:4  
马科维茨(Markowitz)以证券收益率的方差作为投资风险的测度建立了组合证券投资模型,本基于熵的概念,在研究马科维茨(Markowitz)证券投资组合模型的基础上,分析了该模型用方差度量风险的不足,进而提出一种新的证券投资组合优化模型,并以实例作了说明。  相似文献   

9.
投资比例非负约束的风险证券组合有效集及动态分析   总被引:1,自引:1,他引:0  
本文提出了风险证券有效组合的决策模型 ,给出了投资比例非负约束的风险证券有效组合的解析表示 ,研究了证券个数变动对证券组合有效集的影响 .分析了它的漂移方向和漂移范围 ,给出了最小风险有效证券组合和最大收益有效证券组合的漂移距离及风险与收益的增加或减少程度  相似文献   

10.
证券收益率是投资者在投资决策时考虑的重要指标.针对投资者因证券收益率的变化引起的投资心理变化,提出一种基于累积前景理论和熵理论的投资风险决策方法.首先把证券的历史收益率划分为若干个状态区间,将某证券落在某状态区间定义为该证券的状态;然后计算各证券状态的概率及熵值;再利用累积前景理论,将无风险利率作为投资者的目标参照点,计算各证券所有状态相对于参照点的"损益值",得出各证券所有状态的价值,并将各证券所有状态发生的概率转化为投资者的心理概率,计算出各证券所有状态下的前景值,进而得出各证券的累积前景值;最后建立一种度量各证券投资风险的决策模型来确定最优组合.选择沪市证券市场进行实证研究,验证了方法的可行性及有效性.  相似文献   

11.
Since 2010, the client base of online-trading service providers has grown significantly. Such companies enable small investors to access the stock market at advantageous rates. Because small investors buy and sell stocks in moderate amounts, they should consider fixed transaction costs, integral transaction units, and dividends when selecting their portfolio. In this paper, we consider the small investor’s problem of investing capital in stocks in a way that maximizes the expected portfolio return and guarantees that the portfolio risk does not exceed a prescribed risk level. Portfolio-optimization models known from the literature are in general designed for institutional investors and do not consider the specific constraints of small investors. We therefore extend four well-known portfolio-optimization models to make them applicable for small investors. We consider one nonlinear model that uses variance as a risk measure and three linear models that use the mean absolute deviation from the portfolio return, the maximum loss, and the conditional value-at-risk as risk measures. We extend all models to consider piecewise-constant transaction costs, integral transaction units, and dividends. In an out-of-sample experiment based on Swiss stock-market data and the cost structure of the online-trading service provider Swissquote, we apply both the basic models and the extended models; the former represent the perspective of an institutional investor, and the latter the perspective of a small investor. The basic models compute portfolios that yield on average a slightly higher return than the portfolios computed with the extended models. However, all generated portfolios yield on average a higher return than the Swiss performance index. There are considerable differences between the four risk measures with respect to the mean realized portfolio return and the standard deviation of the realized portfolio return.  相似文献   

12.
如何合理地考虑投资者所面临的背景风险及现实市场限制来进行有效地投资决策是人们所广泛关注的重要实际管理决策问题。本文研究投资者同时面临加性和乘性两类背景风险的前提下具有保守卖空与财务困境的投资组合选择问题。假定投资者寻求使得投资收益最大、投资风险最小及证券主体财务困境最小的最优投资组合策略,进而提出考虑保守卖空与财务困境的背景风险投资组合模型。然后,利用具有精英策略的非支配排序遗传算法对模型进行求解。最后,通过实例来阐述模型的实用性。研究结果表明:考虑保守卖空能为投资者提供更大的收益;两类背景风险的变化均导致有效前沿面的变化。  相似文献   

13.
In standard portfolio theory, an investor is typically taken as having one stochastic objective, to maximize the random variable of portfolio return. But in this paper, we focus on investors whose purpose is to build, more broadly, a “suitable portfolio” taking additional concerns into account. Such investors would have additional stochastic and deterministic objectives that might include liquidity, dividends, number of securities in a portfolio, social responsibility, and so forth. To accommodate such investors, we develop a multiple criteria portfolio selection formulation, corroborate its appropriateness by examining the sensitivity of the nondominated frontier to various factors, and observe the conversion of the nondominated frontier to a nondominated surface. Furthermore, multiple criteria enable us to provide an explanation as to why the “market portfolio,” so often found deep below the nondominated frontier, is roughly where one would expect it to be with multiple criteria. After commenting on solvability issues, the paper concludes with the idea that what is the “modern portfolio theory” of today might well be interpreted as a projection onto two-space of a real multiple criteria portfolio selection problem from higher dimensional space. M. Hirschberger: Research conducted while a Visiting Scholar at the Department of Banking and Finance, Terry College of Business, University of Georgia, October 2003–March 2004.  相似文献   

14.
This paper deals with a class of chance constrained portfolio selection problems in the fuzzy random decision making system. An integrated fuzzy random portfolio selection model with a chance constraint is proposed on the basis of the mean-variance model and the safety-first model. According to different definitions of chance, we consider two types of fuzzy random portfolio selection models: one is for the optimistic investors and the other is for the pessimistic investors. In order to deal with the fuzzy random models, we develop a few theorems on the variances of fuzzy random returns and the equivalent partitions of two types of chance constraints. We then transform the fuzzy random portfolio selection models into their equivalent crisp models. We further employ the ε-constraint method to obtain the efficient frontier. Finally, we apply the proposed models and approaches to the Chinese stock market as an illustration.  相似文献   

15.
In order to study the effect of different risk measures on the efficient portfolios (frontier) while properly describing the characteristic of return distributions in the stock market, it is assumed in this paper that the joint return distribution of risky assets obeys the multivariate t-distribution. Under the mean-risk analysis framework, the interrelationship of efficient portfolios (frontier) based on risk measures such as variance, value at risk (VaR), and expected shortfall (ES) is analyzed and compared. It is proved that, when there is no riskless asset in the market, the efficient frontier under VaR or ES is a subset of the mean-variance (MV) efficient frontier, and the efficient portfolios under VaR or ES are also MV efficient; when there exists a riskless asset in the market, a portfolio is MV efficient if and only if it is a VaR or ES efficient portfolio. The obtained results generalize relevant conclusions about investment theory, and can better guide investors to make their investment decision.  相似文献   

16.
In order to study the effect of different risk measures on the efficient portfolios (frontier) while properly describing the characteristic of return distributions in the stock market, it is assumed in this paper that the joint return distribution of risky assets obeys the multivari-ate t-distribution. Under the mean-risk analysis framework, the interrelationship of efficient portfolios (frontier) based on risk measures such as variance, value at risk (VaR), and expected shortfall (ES) is analyzed and compared. It is proved that, when there is no riskless asset in the market, the efficient frontier under VaR or ES is a subset of the mean-variance (MV) efficient frontier, and the efficient portfolios under VaR or ES are also MV efficient; when there exists a riskless asset in the market, a portfolio is MV efficient if and only if it is a VaR or ES efficient portfolio. The obtained results generalize relevant conclusions about investment theory, and can better guide investors to make their investment decision.  相似文献   

17.
Recent advances in Stein’s lemma imply that under elliptically symmetric distributions all rational investors will select a portfolio which lies on Markowitz’ mean–variance efficient frontier. This paper describes extensions to Stein’s lemma for the case when a random vector has the multivariate extended skew-Student distribution. Under this distribution, rational investors will select a portfolio which lies on a single mean–variance–skewness efficient hyper-surface. The same hyper-surface arises under a broad class of models in which returns are defined by the convolution of a multivariate elliptically symmetric distribution and a multivariate distribution of non-negative random variables. Efficient portfolios on the efficient surface may be computed using quadratic programming.  相似文献   

18.
The literature suggests that investors prefer portfolios based on mean, variance and skewness rather than portfolios based on mean–variance (MV) criteria solely. Furthermore, a small variety of methods have been proposed to determine mean–variance–skewness (MVS) optimal portfolios. Recently, the shortage function has been introduced as a measure of efficiency, allowing to characterize MVS optimal portfolios using non-parametric mathematical programming tools. While tracing the MV portfolio frontier has become trivial, the geometric representation of the MVS frontier is an open challenge. A hitherto unnoticed advantage of the shortage function is that it allows to geometrically represent the MVS portfolio frontier. The purpose of this contribution is to systematically develop geometric representations of the MVS portfolio frontier using the shortage function and related approaches.  相似文献   

19.
王灿杰  邓雪 《运筹与管理》2019,28(2):154-159
本文考虑到证券市场的投资者往往面临着随机和模糊两种不确定性的情形,在模糊随机环境下把证券的收益率视作三角模糊变量,在可信性理论基础上建立了带融资约束条件的均值-熵-偏度三目标投资组合决策模型,拓展了基于可信性理论的投资组合决策模型的研究内容,同时通过对约束条件处理方法,外部档案维护方法等关键算子的改良,提出了一种新的约束多目标粒子群算法。本文运用该算法对模型进行求解,把得到的最优解与传统的多目标粒子群算法得到的最优解进行对比,结果表明新算法得到的最优解的质量会显著地优于传统的多目标粒子群算法的最优解,从而验证了算法的有效性和准确性。该算法可以在三维空间中得到一个分布性和逼近性较好的Pareto最优曲面,满足投资者对不同目标的差异需求,为投资者提供合理的投资组合决策方案。  相似文献   

20.
In order to study the effect of different risk measures on the efficient portfolios (fron- tier) while properly describing the characteristic of return distributions in the stock market, it is assumed in this paper that the joint return distribution of risky assets obeys the multivariate t-distribution. Under the mean-risk analysis framework, the interrelationship of efficient portfolios (frontier) based on risk measures such as variance, value at risk (VaR), and expected shortfall (ES) is analyzed and compared. It is proved that, when there is no riskless asset in the market, the efficient frontier under VaR or ES is a subset of the mean-variance (MV) efficient frontier, and the efficient portfolios under VaR or ES are also MV efficient; when there exists a riskless asset in the market, a portfolio is MV efficient if and only if it is a VaR or ES efficient portfolio. The obtained results generalize relevant conclusions about investment theory, and can better guide investors to make their investment decision.  相似文献   

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