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1.
在分析Jia&D yer的风险-价值理论基础上,给出了一个基于预先给定的目标收益的非对称线性风险函数.该风险函数是低于参考点的离差和高于参考点的离差的加权和,它利用一阶"上偏矩"来修正一阶下偏矩,进一步建立了在此非对称风险函数下的线性规划证券投资组合模型;并证明了该模型与二阶随机占优准则的一致性;最后通过上海证券市场的实际数据验证了该模型的有效性和实用性.  相似文献   

2.
余婧 《运筹学学报》2010,14(1):106-114
均值-方差投资组合模型作为现代投资组合理论的基础,采用方差作为风险度量,但忽略了投资组合收益的非对称性.而考虑收益非对称性的基于偏度的投资组合模型由于非凸和非二次性使模型难以求解.本文提出用上下半方差的比值近似刻画偏度,建立了均值-方差-近似偏度(MVAS)模型,并利用该模型对中国证券市场主要股票指数进行实证分析.实证分析结果表明,在收益率非正态分布的市场中,考虑了收益率非对称性的投资组合模型较传统的MV和MAD模型具有更优的表现.  相似文献   

3.
在DentchevaRuszczynski(2006)模型的基础上,考虑偏度对构建投资组合的影响,建立了二阶随机占优约束下最大化组合收益率偏度的投资组合优化模型,并应用分段线性近似方法将模型转化为一个非线性混合整数规划问题.利用中国股票市场的历史数据对所建模型进行了实证分析,结果表明,所建新模型比均值-方差-偏度模型和市场指数具有更稳健的表现.  相似文献   

4.
考虑了收益率为模糊数的投资组合问题.在一定置信水平上,用收益率波动差的平方和作为风险的度量,在预期收益率给定时,建立了风险最小化的投资组合模型.投资者可以参考其最优解来减小投资风险.最后给出了一个实例.  相似文献   

5.
本文主要考虑一类经典的含有二阶随机占优约束的投资组合优化问题,其目标为最大化期望收益,同时利用二阶随机占优约束度量风险,满足期望收益二阶随机占优预定的参考目标收益。与传统的二阶随机占优投资组合优化模型不同,本文考虑不确定的投资收益率,并未知其精确的概率分布,但属于某一不确定集合,建立鲁棒二阶随机占优投资组合优化模型,借助鲁棒优化理论,推导出对应的鲁棒等价问题。最后,采用S&P 500股票市场的实际数据,对模型进行不同训练样本规模和不确定集合下的最优投资组合的权重、样本内和样本外不确定参数对期望收益的影响的分析。结果表明,投资收益率在最新的历史数据规模下得出的投资策略,能够获得较高的样本外期望收益,对未来投资更具参考意义。在保证样本内解的最优性的同时,也能取得较高的样本外期望收益和随机占优约束被满足的可行性。  相似文献   

6.
利用投资收益率的二阶矩作为风险度量函数,建立了考虑背景风险和流动性的模糊投资组合模型.在满足预设收益率、换手率可能性均值要求水平以及风险资产的投资比例等约束条件下,使投资收益的二阶矩最小.最后选取中证100指数成分股中部分股票的历史数据进行数值分析,证明了该模型符合“高收益、高风险”的规律,说明该模型适用于实际金融市场.而且使用二阶矩代替方差作为风险度量函数,克服了方差计算复杂的缺陷,简化了模糊投资组合求解问题.  相似文献   

7.
一致性风险度量在金融风险管理中是十分重要的风险度量.下偏矩度量是位于目标收益(率)下方的风险损失,通过引入新目标收益率对Fishburn风险测度进行了改进,在Fischer基于单边矩风险度量所建立的一致性风险度量的基础上得到了一个新的一致性风险度量,适用于任何类型的收益(率)分布,更加符合投资者的心理实际,最后通过实例验证了所得的一致性风险度量的有效性和合理性.  相似文献   

8.
贷款组合的“均值-方差-偏度”三因素优化模型   总被引:2,自引:0,他引:2  
以银行各项资产组合收益率最大化为目标函数,以收益率偏度大于零控制银行重大损失发生的概率,以组合风险价值VaR风险限额为约束条件控制资产组合风险的大小,建立了贷款组合的"均值-方差-偏度"三因素优化模型.本模型的创新与特色一是通过偏度约束减少了组合收益率小于其均值的可能性,并增加了组合收益率大于其均值的概率.这在均值-方差模型的基础上,增加了偏度参数,建立了收益率均值-方差-偏度模型,开拓了资产组合优化的新思路.二是以组合风险价值VaR建立了约束条件,通过在一定置信水平下的最大损失限额来制约贷款组合的违约风险,使贷款配给的风险限定在银行的承受能力和贷款准备金的范围之内,解决了整体风险的控制问题.  相似文献   

9.
首先建立了摩擦市场条件下基于收益率分布偏度水平的双目标投资组合模型.在此基础上,将模糊集合的概念引入到该模型中,用模糊数学中的线性隶属函数处理了其中的风险目标和收益目标,建立了摩擦市场条件下基于收益率分布偏度水平的模糊型双目标投资组合模型.然后,针对该模型进行了新型遗传算法设计(动态遗传算法).最后用一个具体的算例给出了该模型的一个实例最优解,体现了多样化投资分散风险的组合投资原理.  相似文献   

10.
研究了模糊随机环境下风险资产投资组合选择问题.利用模糊随机变量刻画风险资产的收益率,建立了具有投资限制的风险资产投资组合选择的一般模糊随机均值-方差模型,该模型包括了是否允许卖空及具有投资比例下界约束的情况.在此基础上,提出了具有梯形模糊随机收益率的具体投资组合优化模型,这些模型能够转化为二次规划问题求解.最后,利用上证50指数中的9种股票对模型进行了实证分析,结果表明模型能够有效分散非系统性风险.  相似文献   

11.
Considering the stochastic exchange rate, a four-factor futures model with the underling asset, convenience yield, instantaneous risk free interest rate and exchange rate, is established. These processes follow jump-diffusion processes (Wiener process and Poisson process). The corresponding partial differential equation (PDE) of the futures price is derived. The general solution with parameters of the PDE is drawn. The weight least squares approach is applied to obtain the parameters of above PDE. Variance is substituted by semi-variance in Markovitz’s portfolio selection model. Therefore, a class of multi-period semi-variance model is formulated originally. A hybrid genetic algorithm (GA) with particle swarm optimizer (PSO) is proposed to solve the multi-period semi-variance model. Finally, an example, which are fuel futures in Shanghai exchange market, is selected to demonstrate the effectiveness of above models and methods.  相似文献   

12.
Considering the stochastic exchange rate, a four-factor futures model with the underling asset, convenience yield, instantaneous risk free interest rate and exchange rate, is established. These processes follow jump-diffusion processes (Weiner process and Poisson process). The corresponding partial differential equation (PDE) of the futures price is derived. The general solution of the PDE with parameters is drawn. The weight least squares approach is applied to obtain the parameters of above PDE. Variance is substituted by semi-variance in Markowitzs portfolio selection model. Therefore, a class of multi-period semi-variance model is formulated originally. Then, a continuous-time mean-variance portfolio model is also considered. The corresponding stochastic Hamilton-Jacobi-Bellman (HJB) equation of the problem with nonlinear constraints is derived. A numerical algorithm is proposed for finding the optimal solution in this paper. Finally, in order to demonstrate the effectiveness of the theoretical models and numerical methods, the fuel futures in Shanghai exchange market and the Brent crude oil futures in London exchange market are selected to be examples.  相似文献   

13.
基于对目标函数和约束函数的同时抽样,给出求解凸随机规划的Monte CaLrlo模拟的算法及其收敛性.将得到的结果和算法应用到以半偏差为约束的投资组合优化问题,并且给出相应的数值试验.  相似文献   

14.
A review of credibilistic portfolio selection   总被引:1,自引:0,他引:1  
This paper reviews the credibilistic portfolio selection approaches which deal with fuzzy portfolio selection problem based on credibility measure. The reason for choosing credibility measure is given. Several mathematical definitions of risk of an investment in the portfolio are introduced. Some credibilistic portfolio selection models are presented, including mean-risk model, mean-variance model, mean-semivariance model, credibility maximization model, α-return maximization model, entropy optimization model and game models. A hybrid intelligent algorithm for solving the optimization models is documented. In addition, as extensions of credibilistic portfolio selection approaches, the paper also gives a brief review of some hybrid portfolio selection models.  相似文献   

15.
基于模糊决策的投资组合优化   总被引:1,自引:0,他引:1  
房勇  汪寿阳 《系统科学与数学》2009,29(11):1517-1526
基于模糊决策理论研究了带有成比例交易费用的证券投资组合优化问题. 首先,基于半绝对偏差风险函数和极大极小原则提出了一种新的风险函数--极大极小半绝对偏差风险函数;然后, 引入一种非线性隶属函数更加形象地描述了投资者对投资收益和投资风险的满意程度;在此基础上, 进一步提出了非线性满意程度的模糊决策投资组合选择模型;最后, 针对提出的模型,利用中国证券市场的真实数据给出了数值算例.  相似文献   

16.
Zhiping Chen  Jia Liu  Gang Li  Zhe Yan 《TOP》2016,24(3):515-540
Through the composition of two real-valued functions, we propose a new class of multi-period risk measure which is time consistent. The new multi-period risk measure is monotonous and convex when the two real-valued functions satisfy monotonicity and convexity. Based on this generic framework, we construct a specific class of time-consistent multi-period risk measure by considering the lower partial moment between the realized wealth and the target wealth at individual periods. With the new multi-period risk measure as the objective function, we formulate a multi-period portfolio selection model by considering transaction costs at individual investment periods. Furthermore, this stochastic programming model is transformed into a deterministic programming problem using the scenario tree technology. Finally, we show through empirical tests and comparisons the rationality, practicality and efficiency of our new multi-period risk measure and the corresponding portfolio selection model.  相似文献   

17.
In finance theory the standard deviation of asset returns is almost universally recognized as a measure of risk. This universality continues to exist even in the presence of known limitations of using the standard deviation and also an extensive and growing literature on alternative risk measures. One possible reason for this persistence is that the sample properties of alternative risk measures are not well understood. This paper attempts to compare the sample distribution of the semi-variance with that of the variance. In particular, the belief that, while there are convincing theoretical reasons to use the semi-variance the volatility of the sample measure is so high as to make the measure impractical in applied work, is investigated. In addition arguments based on stochastic dominance are also used to compare the distribution of the two statistics. Conditions are developed to identify situations in which the semi-variance may be preferred to the variance. An empirical example using equity data from emerging markets demonstrates this approach.  相似文献   

18.
本文假设投资者是风险厌恶型,用CVaR作为测量投资组合风险的方法.在预算约束的条件下,以最小化CVaR为目标函数,建立了带有交易费用的投资组合模型.将模型转化为两阶段补偿随机优化模型,构造了求解模型的随机L-S算法.为了验证算法的有效性,用中国证券市场中的股票进行数值试验,得到了最优投资组合、VaR和CVaR的值.而且对比分析了有交易费和没有交易费的最优投资组合的不同,给出了相应的有效前沿.  相似文献   

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