共查询到16条相似文献,搜索用时 125 毫秒
1.
假定投资者将其财富分配在这样两种风险资产中,一种是股票,价格服从跳跃扩散过程;一种是有信用风险的债券,其价格服从复合泊松过程.在均值-方差准则下通过最优控制原理来研究投资者的最优投资策略选择问题,得到了最优投资策略及有效边界,最后通过数值例子分析了违约强度、债券预期收益率以及目标财富对最优投资策略的影响. 相似文献
2.
3.
4.
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
5.
对于Bellman最优性原理,本文举出实例表明:(1)策略不一定有(合理的)子策略;(2)子策略不一定存在最优子策略;(3)最优策略不一定有最优子策略;(4)用最短路与反证法来论述最优性原理的正确性,不能肯定成立;(5)Bellman最优性原理与其递推公式并不等价。 讨论四类最优策略之后,给出最优性原理与递推公式等价的一个充分性定理。 相似文献
6.
7.
8.
9.
均值方差偏好和期望损失风险约束下的动态投资组合 总被引:1,自引:0,他引:1
本文在均值方差框架下,研究了期望损失风险约束下的连续时间动态投资组合问题。运用鞅理论和凸对偶方法,分别给出了最优财富和最优投资策略的解析式,而且两基金分离定理仍然成立。最后通过数值例子分析了风险约束对最优投资策略的影响。 相似文献
10.
11.
Dynamic mean-variance investment model can not be solved by dynamic programming directly due to the nonseparable structure of variance minimization problem. Instead of adopting embedding scheme, Lagrangian duality approach or mean-variance hedging approach, we transfer the model into mean field mean-variance formulation and derive the explicit pre-committed optimal mean-variance policy in a jump diffusion market. Similar to multi-period setting, the pre-committed optimal mean-variance policy is not time consistent in efficiency. When the wealth level of the investor exceeds some pre-given level, following pre-committed optimal mean-variance policy leads to irrational investment behaviors. Thus, we propose a semi-self-financing revised policy, in which the investor is allowed to withdraw partial of his wealth out of the market. And show the revised policy has a better investment performance in the sense of achieving the same mean-variance pair as pre-committed policy and receiving a nonnegative free cash flow stream. 相似文献
12.
??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
13.
《Operations Research Letters》2020,48(6):693-696
When the wealth is larger than some threshold in multi-period mean–variance asset–liability management, the pre-committed policy is no longer mean–variance efficient policy for the remaining investment horizon. To revise the policy, by relaxing self-financing constraint and allowing to withdraw some wealth, we derive a new dominating policy, which is better than the pre-committed policy. The revised policy can achieve the same mean–variance pairs attained by the pre-committed policy, and yields a nonnegative free cash flow stream over the investment horizon. 相似文献
14.
研究了带通货膨胀的确定缴费养老计划退休后最优投资-年金化决策。假设通货膨胀过程是一个随机过程,建立了真实财富的波动过程。先相对固定年金化时刻,采取目标定位型模型,预设未来各时期的投资目标,利用贝尔曼优化原理,得到从退休时刻到相对固定年金化时刻之间的最优投资策略。接着建立了最优年金化时刻的评估标准,最优的年金化时刻使得年金化前后的累加消费折现均值得到最大。证明了在随机通货膨胀的假设下,传统的自然投资目标不存在;当随机通胀过程退化到确定过程时,求出了自然投资目标的显式表达式,并且在这两种情况下,分析了通胀情况对最优投资策略的影响。最后利用数值分析手段, 研究了通货膨胀、风险偏好、折现率对最优年金化时刻的影响。 相似文献
15.
We consider optimal asset allocation for an investor saving for retirement. The portfolio contains a bond index and a stock index. We use multi-period criteria and explore two types of strategies: deterministic strategies are based only on the time remaining until the anticipated retirement date, while adaptive strategies also consider the investor’s accumulated wealth. The vast majority of financial products designed for retirement saving use deterministic strategies (e.g., target date funds). In the deterministic case, we determine an optimal open loop control using mean-variance criteria. In the adaptive case, we use time consistent mean-variance and quadratic shortfall objectives. Tests based on both a synthetic market where the stock index is modelled by a jump-diffusion process and also on bootstrap resampling of long-term historical data show that the optimal adaptive strategies significantly outperform the optimal deterministic strategy. This suggests that investors are not being well served by the strategies currently dominating the marketplace. 相似文献
16.
Gary Quek 《Applied Mathematical Finance》2017,24(2):77-111
In this article, we study a multi-period portfolio selection model in which a generic class of probability distributions is assumed for the returns of the risky asset. An investor with a power utility function rebalances a portfolio comprising a risk-free and risky asset at the beginning of each time period in order to maximize expected utility of terminal wealth. Trading the risky asset incurs a cost that is proportional to the value of the transaction. At each time period, the optimal investment strategy involves buying or selling the risky asset to reach the boundaries of a certain no-transaction region. In the limit of small transaction costs, dynamic programming and perturbation analysis are applied to obtain explicit approximations to the optimal boundaries and optimal value function of the portfolio at each stage of a multi-period investment process of any length. 相似文献