风险函数

Based on the absolute deviation, a new risk function ω〓 is proposed and an analytical solution for the single period model is derived.

提出了一个新的风险控制函数ω〓，该函数是将所有资产的绝对偏差的平均值作为风险的度量，并给出其单阶段的投资模型的解析解。

With the concave transaction cost function more conforming to the actual situation, we introduce condition risk value to measure profolio risk, and propose mean- CVaR concave integer programming model under concave transaction costs and minimal transaction unit constraints.

1取交易费用函数为更实际的凹函数，引入条件风险价值度量组合风险，提出了考虑交易费用及最小交易量的均值—CVaR凹整数规划模型。

Properties of efficient portfolios and the efficient frontier to the model are systematically analyzed. Our main results concerning the properties are: every efficient portfolio can be solved by minimizing portfolio risk under a given level of portfolio return or by maximizing portfolio return under a given level of portfolio risk; on the efficient frontier, the risk is a convex and strictly increasing function of the return and the return is a concave and strictly increasing function of the risk; the utility function on the efficient frontier can be expressed as a quasi-concave function of the risk or the return if the investor's utility function is quasi-concave.

从理论上系统地对该模型下的有效投资组合和有效前沿的性质进行了分析，结果表明：每一个有效投资组合可通过在给定期望收益水平的条件下最小化投资组合风险来获得，或者在给定风险水平的条件下最大化期望投资组合收益来获得；在有效前沿上，风险是收益的严格单调递增凸函数，收益是风险的严格单调递增凹函数；当投资者的效用函数是拟凹函数时，则有效前沿上的效用可表达成风险或收益的拟凹函数。

We show the different properties between covariance risk allocation function and relative risk allocation function and prove that the commonly used risk budgeting model is a special form of risk allocation function.

我们证明并比较了在标准差风险度量下，协方差风险分配函数与相对风险分配函数性质上的差异，并证明风险预算也是一种特殊形式的风险分配函数。

Chapter six presents such new concepts as margin utility contribution force, profit-risk exchange rate, state-expectation-variance utility function, long-term expectation-variance utility curve and optimal portfolio expansion curve. The state-expectation-variance analytical method is developed from the expectation-variance analytical method. The changing rate of profit-risk exchange rate to state variable is used to define and distinguish the decreasing, constant and increasing relative risk aversion. A decomposition formula about the margin contribution force of holding wealth to state-expectation-variance utility function is displayed. The decomposition formula demonstrates that the contribution force of investors' holding wealth to their utility is composed of the pure contribution force of holding wealth and the investment contribution force bronght about through investment portfolio.

第六章提出了边际效用贡献力、收益—风险替换率、状态—期望—方差效用函数、长期期望—方差效用曲线、最优证券组合扩展线等新概念；把期望—方差分析方法发展成状态—期望—方差分析方法；用收益—风险替换率对状态变量ω的变化率来定义和区分递减、定常、递增相对风险厌恶；获得了持有财富对状态—期望—方差效用函数的边际贡献力的分解式，该分解公式表明投资者的持有财富对他的效用的贡献力由持有财富本身的纯贡献力和持有财富通过投资证券组合所产生的投资贡献力所组成。

The transformed value function is proved to satisfy dynamic programming partial differential equation with the coefficient of risk aversion.

给出了值函数和风险规避系数的定义，并通过对值函数进行非线性变换，证明了变换后的值函数满足带有风险规避系数的动态规划偏微分方程。

This paper analyses the homogenous tendency of open-end fund at first,pointing out that unperfect development of market and investors' immature investment opinions is the origin of such phenomena. Secondly,having compared the fund sizes and purchase fee rates of 25 open-end funds in China,conclude that there are problems of diseconomy of scale and indistinctive relativity between fees and achievement in Chinese open-end funds. Then this paper introduces benefit and cost function to analyze the problem of lack of motivation and constrain mechanism towards fund managers because of unreasonable fees in China. Thirdly,this paper analyze funds managers' normal hazards by static game model,and then points out fund managers have serious tunneling behaviors in Chinese open-end fund industry. In the end,this paper analyzes the causes of liquidity risk of open-end fun and the particularity of liquidity risk of open-end fund in China,and concludes that liquidity risk in Chinese open-end fund industry is higher through calculating the rates of share change and comparing the portfolio selections of top 20 open-end funds in China.

本文首先分析了我国目前存在的基金产品同质化现象，指出市场发展的不完善以及投资者投资理念的不成熟是同质化的根源所在；其次对比了我国现有的25只开放式基金的规模和申购费率，得出了我国开放式基金存在着规模效应不明显以及基金业绩与费率相关性不强的问题，并引入效益函数和成本函数分析了由于我国开放式基金费率不合理引发的基金管理者激励约束机制缺失的问题；再次，应用静态博弈模型分析了基金管理人面临的道德风险，指出目前我国开放式基金由于监管机制脆弱而存在着较为严重的管理者利益输送行为；最后，分析了开放式基金流动性风险的形成原因以及我国基金市场流动性风险的特殊性，并通过计算目前我国基金资产规模前20位的开放式基金的份额变动率以及比较它们的投资组合结构，得出了目前我国开放式基金流动性风险偏大的结论。

The third aspect: we consider comparison of Minimum Norm Quadratic Unbiased Estimator and ordinary least squares estimator of in the multivariate normal linear model Y ~ N{XB, V, where the design matrix A' need not have full rank and the dispersion matrix V can be singular.

使用的损失函数有二次损失函数、嫡损失函数和对称损失函数。论文基于以下三个准则：二次损失风险准则、嫡损失风险准则和对称损失风险准则，将MINQUE和LSE进行比较。

We obtain the risk process involved in this model,the statistical properties of the surplus process,and statistical features of the claim numbers and the probability distribution of the total amount of compensation.The three types of business of the risk model is given when the number of claims obey Poisson distribution and negative binomial distribution.We make a comparison between the risk model built in the thesis and the classic risk models with independent claim numbers when the amount of claims obey Weillbull distribution and Exponential distribution.The results have a good practical significance.

其次，考虑不同险种间的相互关系，建立了一种含有主副理赔的风险分析模型；借助随机过程和经典风险理论，对该风险模型所涉及的风险过程、盈余过程的统计特性以及理赔总额的概率分布、数字特征和矩母函数进行解析研究，给出了主理赔次数服从泊松分布和负二项分布的这种风险模型的具体实例，并在理赔额变量服从Weillbul分布和Exponential分布的情况下，把文中所建风险模型和理赔次数相互独立的风险模型作了比较，所得结果有很好的现实意义。

So the article puts forward a series of measures and suggestions that the loan risk should be controlled from loan whereabouts. Secondly, the paper has established a system of credit levels of enterprises' loan and the vague comprehensive evaluation of project risk .By objectively analyzing the risk elements and related links in all aspects, the article has set up a relatively all-round risk elements matrix and raised the relevant construction approach of subordinate angle function according to the state value of risk elements.

第二，本文建立了项目贷款企业信用等级和项目风险的模糊综合评价体系，用层次分析法对风险因素及其相关联系进行定量的分析，构建了比较全面的风险因素判断矩阵，根据风险因素的状态值分别提出了相应的隶属度函数的构造方法，然后对其进行模糊综合评价，对不同的模糊评价模型进行了讨论，为商业银行加强项目贷款贷前风险管理，进行风险识别和评价提供了有效的工具。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。