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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
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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
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不同均值-风险准则下的资产组合有效前沿比较研究 总被引:2,自引:0,他引:2
本文根据V aR和CV aR风险度量方法,对马克维茨的均值-方差资产组合选择模型进行拓展,研究在均值-风险准则下更具有一般性的资产组合选择问题.并在正态分布假设条件下,证明当不存在无风险资产时和存在无风险资产时,基于方差、V aR和CV aR风险度量准则的资产组合有有沿之间的关系,指出根据均值-V aR准则和均值-CV aR准则求解有效资产组合时,置信水平必须满足的条件 相似文献
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本文主要研究常利率下的 Erlang(2 )风险模型的破产前瞬间盈余分布 ,破产时赤字分布 ,以及它们的联合分布 . 相似文献
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本文研究平稳更新风险模型下的红利现值,将其用普通更新模型下的红利现值表示出来.这个关系式统一并推广了已有的某些结果. 相似文献
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本论文研究了常利率下E rlang(2)的风险模型,得到了关于罚金折现期望满足的积分表达式、积分-微分方程以及L-S变换满足的微分方程,并且考虑了一些特殊情况. 相似文献
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本文研究了带常数利率和盈余相依型loss-carry-forward税收系统的Cramér-Lundberg风险模型.利用无穷小分析方法及该过程具有的的强马氏性,得出了保险公司从开始运营到破产期间税收折现总额的数学期望表达式.作为例子,本文给出了指数分布索赔假定下该税收折现函数的具体表达式. 相似文献
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本文利用随机变量序列的强大数定律 ,研究了随机变量序列 {Xn}在独立 (可不同分布 )情形下的性质 ,并得到当随机狄里克莱级数 ∑∞n =1anXne-λns 满足(ⅰ )limn ∞nλn =D <∞ ;(ⅱ ) limn ∞ln|an|λn =0 等条件时的增长性以及值分布 . 相似文献
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随机微分方程理论在经济建模中的应用研究 总被引:3,自引:0,他引:3
考虑投资者参与证券投资及消费.由于证券、价格的变动趋势受诸多因素的影响,显示出价格很不稳定.用随机微分方程来刻划证券价格的变动趋势是合理的.Karatzas等人在[1]中研究了最优消费与投资的一般特性,而且在模型参数为常系数假设下给出了反馈形式的最优消费与投资公式.但模型系数都为常值的假设在实际应用中显然有很大的局限性.为此,本文就β(t)为有限分段函数情形推广了Karatzas等人的结果.所得结论比Karatzas[1]所得结论更具有应用价值. 相似文献