共查询到20条相似文献,搜索用时 234 毫秒
1.
不完全市场中动态资产分配 总被引:2,自引:0,他引:2
在不完全市场条件下,通过确定方差-最优鞅测度,给出了动态均值-方差有效策略和有效前沿的解析表达式.动态均值-方差有效策略是二基金的买入-持有策略.基金一仅投资于无风险资产,基金二是动态调整的投资组合.应用资产的动态参数清楚地刻画了投资者持有二基金的数量和二基金的动态投资组合.并且证明了均值-方差有效前沿在期望收益-标准差空间是直线. 相似文献
2.
构造了一个带外生负债的连续时间均值-方差最优投资组合选择模型.假定风险资产价格的演变服从几何布朗运动,累积负债服从带漂移的布朗运动,并且市场系数恒为常数,借助随机LQ控制方法得到相应的均值-方差优化问题的最优策略和有效边界. 相似文献
3.
研究了保险公司在均值-方差准则下的最优投资问题,其中保险公司的盈余过程由带随机扰动的Cramer-Lundberg模型刻画,而且保险公司可将其盈余投资于无风险资产和一种风险资产.利用随机动态规划方法,通过求解相应的HJB方程,得到了均值方差模型的最优投资策略和有效前沿.最后,给出了数值算例说明扰动项对有效前沿的影响. 相似文献
4.
Discrete time mean-variance analysis with singular second moment matrixes and an exogenous liability
We apply the dynamic programming methods to compute the analytical solution of the dynamic mean-variance optimization problem affected by an exogenous liability in a multi-periods market model with singular second moment matrixes of the return vector of assets. We use orthogonai transformations to overcome the difficulty produced by those singular matrixes, and the analytical form of the efficient frontier is obtained. As an application, the explicit form of the optimal mean-variance hedging strategy is also obtained for our model. 相似文献
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本文考虑了基于均值-方差准则下的连续时间投资组合选择问题。为了对冲市场中的利率风险和通货膨胀风险,假定市场上存在可供交易的零息名义债券和零息通货膨胀指数债券。另外,投资者还可以投资一个价格具有Heston随机波动率的风险资产。首先建立了基于均值-方差框架下的最优投资组合问题,然后将原问题进行转换,利用随机动态规划方法和对偶Lagrangian原理,获得了均值-方差准则下的有效投资策略以及有效前沿的解析表达形式,最后对相关参数的敏感性进行了分析。 相似文献
7.
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
8.
Wang Yi Chen Zhiping Zhang Kecun Department of Scientific Computing Applied Softwares Faculty of Science Xi''''an Jiaotong University Xi''''an China. 《高校应用数学学报(英文版)》2006,(4)
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
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Wang Yi Chen Zhiping Zhang Kecun 《高校应用数学学报(英文版)》2006,21(4):369-382
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
11.
We consider a collective insurance risk model with a compound Cox claim process, in which the evolution of a claim intensity
is described by a stochastic differential equation driven by a Brownian motion. The insurer operates in a financial market
consisting of a risk-free asset with a constant force of interest and a risky asset which price is driven by a Lévy noise.
We investigate two optimization problems. The first one is the classical mean-variance portfolio selection. In this case the
efficient frontier is derived. The second optimization problem, except the mean-variance terminal objective, includes also
a running cost penalizing deviations of the insurer’s wealth from a specified profit-solvency target which is a random process.
In order to find optimal strategies we apply techniques from the stochastic control theory. 相似文献
12.
本文研究了证券市场中包含多个基金和股票时的均值-方差最优投资决策模型,得到了最优投资组合的解析表达形式,以及对应的投资有效前沿,证明了两基金分离问题,由于最优解是不唯一的,进而讨论了最优解集合的结构,并对实例进行计算与分析。 相似文献
13.
M. Woodside-Oriakhi C. Lucas J.E. Beasley 《European Journal of Operational Research》2011,213(3):538-550
This paper examines the application of genetic algorithm, tabu search and simulated annealing metaheuristic approaches to finding the cardinality constrained efficient frontier that arises in financial portfolio optimisation. We consider the mean-variance model of Markowitz as extended to include the discrete restrictions of buy-in thresholds and cardinality constraints. Computational results are reported for publicly available data sets drawn from seven major market indices involving up to 1318 assets. Our results are compared with previous results given in the literature illustrating the effectiveness of the proposed metaheuristics in terms of solution quality and computation time. 相似文献
14.
In this paper, we focus on a constant elasticity of variance (CEV) model and want to find its optimal strategies for a mean-variance problem under two con-strained controls: reinsurance/new business an... 相似文献
15.
To create efficient funds appealing to a sector of bank clients, the objective of minimizing downside risk is relevant to managers of funds offered by the banks. In this paper, a case focusing on this objective is developed. More precisely, the scope and purpose of the paper is to apply the mean-semivariance efficient frontier model, which is a recent approach to portfolio selection of stocks when the investor is especially interested in the constrained minimization of downside risk measured by the portfolio semivariance. Concerning the opportunity set and observation period, the mean-semivariance efficient frontier model is applied to an actual case of portfolio choice from Dow Jones stocks with daily prices observed over the period 2005–2009. From these daily prices, time series of returns (capital gains weekly computed) are obtained as a piece of basic information. Diversification constraints are established so that each portfolio weight cannot exceed 5 per cent. The results show significant differences between the portfolios obtained by mean-semivariance efficient frontier model and those portfolios of equal expected returns obtained by classical Markowitz mean-variance efficient frontier model. Precise comparisons between them are made, leading to the conclusion that the results are consistent with the objective of reflecting downside risk. 相似文献
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In this paper, we study infinite-period mean-variance formulations for portfolio selections with an uncertain exit time. We employ the convergence control method together with the dynamic programming algorithm to derive analytical expressions for the optimal portfolio policy and the mean-variance efficient frontier under certain conditions. We illustrate these results by an numerical example. 相似文献
17.
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. 相似文献
18.
C. J. Adcock 《Annals of Operations Research》2010,176(1):221-234
The returns on most financial assets exhibit kurtosis and many also have probability distributions that possess skewness as
well. In this paper a general multivariate model for the probability distribution of assets returns, which incorporates both
kurtosis and skewness, is described. It is based on the multivariate extended skew-Student-t distribution. Salient features of the distribution are described and these are applied to the task of asset pricing. The
paper shows that the market model is non-linear in general and that the sensitivity of asset returns to return on the market
portfolio is not the same as the conventional beta, although this measure does arise in special cases. It is shown that the
variance of asset returns is time varying and depends on the squared deviation of market portfolio return from its location
parameter. The first order conditions for portfolio selection are described. Expected utility maximisers will select portfolios
from an efficient surface, which is an analogue of the familiar mean-variance frontier, and which may be implemented using
quadratic programming. 相似文献
19.
利用动态规划方法研究了基于基准过程的动态均值-方差最优投资组合问题,证明了识别定理,得到了剩余过程的均方最优投资策略和有效前沿. 相似文献
20.
??Under inflation influence, this paper investigate a stochastic
differential game with reinsurance and investment. Insurance company chose a strategy
to minimizing the variance of the final wealth, and the financial markets as a game
``virtual hand' chosen a probability measure represents the economic ``environment'
to maximize the variance of the final wealth. Through this double game between the
insurance companies and the financial markets, get optimal portfolio strategies. When
investing, we consider inflation, the method of dealing with inflation is: Firstly,
the inflation is converted to the risky assets, and then constructs the wealth process.
Through change the original based on the mean-variance criteria stochastic differential
game into unrestricted cases, then application linear-quadratic control theory obtain
optimal reinsurance strategy and investment strategy and optimal market strategy as well
as the closed form expression of efficient frontier are obtained; finally get reinsurance
strategy and optimal investment strategy and optimal market strategy as well as the
closed form expression of efficient frontier for the original stochastic differential game. 相似文献