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1.
Robust utility maximization for complete and incomplete market models   总被引:2,自引:0,他引:2  
We investigate the problem of maximizing the robust utility functional . We give the dual characterization for its solution for both a complete and an incomplete market model. To this end, we introduce the new notion of reverse f-projections and use techniques developed for f-divergences. This is a suitable tool to reduce the robust problem to the classical problem of utility maximization under a certain measure: the reverse f-projection. Furthermore, we give the dual characterization for a closely related problem, the minimization of expenditures given a minimum level of expected utility in a robust setting and for an incomplete market.Received: September 2004, Mathematics Subject Classification (2000): 62C20, 62O05, 91B16, 91B28JEL Classification: D81, G11I thank Hans Föllmer for his help when writing this paper. Furthermore, I thank Alexander Schied for discussing the topic with me and Michael Kupper and the referees for their helpful remarks.  相似文献
2.
城乡各阶层公共支出受益归宿之测度与政策建议   总被引:1,自引:0,他引:1  
运用马泰尔边际效用函数测度我国的公共支出在城乡各个收入阶层中的分配是否平等。结果表明:我国城乡各个收入阶层的公共支出受益是有差异的,高收入阶层受益大于低收入阶层,且城镇居民高于农村。为促进社会公平,政府应该采取有效措施尽快改变这一状况。  相似文献
3.
This article examines the relationship between risk, return, skewness, and utility-based preferences. Examples are constructed showing that, for any commonly used utility function, it is possible to have two continuous unimodal random variables X and Y with positive and equal means, X having a larger variance and lower positive skewness than Y, and yet X has larger expected utility than Y, contrary to persistent folklore concerning U > 0 implying skewness preference for risk averters. In additon, it is shown that ceteris paribus analysis of preferences and moments, as occasionally used in the literature, is impossible since equality of higher-order central moments implies the total equality of the distributions involved.  相似文献
4.
I analyse a model in a simple representative-agent economy with one risky and one riskless asset, populated by habit forming consumer-investors. These consumer-investors exhibit non-addictive habit formation in the sense that the current consumption rate of the consumer-investors can fall below their past habit-forming consumption rate. I endogenise the real riskless rate of return in this representative-agent economy and find that the equity premium puzzle is resolved for plausible values of the coefficient of relative risk aversion, the discount rate, and the intensity of non-addictive habit formation. These values have been validated in previous empirical or survey-based studies. Non-addictive habit-formation studied here complements and extends current research on habit-forming preferences. Given a constant investment opportunity set, the real riskless rate in the economy increases with relative risk aversion of the consumer and decreases as the habit-formation intensity increases. Extensions with time-varying investment opportunity sets could explain the low risk-free rate and the relatively large variability of the market return over the variability of the risk-free rate through time.  相似文献
5.
现代宏观经济分析中,一般均衡框架是必不可少的重要因素。但是传统的一般均衡模型通常缺乏实际经济运行过程中一种不可或缺的因素———货币。所以,在传统的均衡或者非均衡模型中引入货币变量,并且判断和分析货币变量及货币政策的作用机制,就成为了货币经济学面对的一个挑战。通过对Tobin货币模型、货币内在效用模型和现金在先模型的分析表明,货币在经济中应该起到的确切作用和所承担的功能,尚未完全被清楚地认识,这为货币政策传导机制和作用机制过程中存在的不确定性留有大量理论探索的余地。  相似文献
6.
The main tools and concepts of financial and actuarial theory are designed to handle standard, or even small risks. The aim of this paper is to reconsider some selected financial problems, in a setup including infrequent extreme risks. We first consider investors maximizing the expected utility function of their future wealth, and we establish the necessary and sufficient conditions on the utility function to ensure the existence of a non degenerate demand for assets with extreme risks. This new class of utility functions, called LIRA, does not contain the classical HARA and CARA utility functions, which are not adequate in this framework. Then we discuss the corresponding asset supply-demand equilibrium model.  相似文献
7.
We consider a continuous-time stochastic optimization problem with infinite horizon, linear dynamics, and cone constraints which includes as a particular case portfolio selection problems under transaction costs for models of stock and currency markets. Using an appropriate geometric formalism we show that the Bellman function is the unique viscosity solution of a HJB equation.Mathematics Subject Classification (1991): 60G44JEL Classification: G13, G11This research was done at Munich University of Technology supported by a Mercator Guest Professorship of the German Science Foundation (Deutsche Forschungsgemeinschaft). The authors also express their thanks to Mark Davis, Steve Shreve, and Michael Taksar for useful discussions concerning the principle of dynamic programming.  相似文献
8.
As wealth increases, preference of one fixed gamble over another typically changes once or not at all. A key question is whether certain assumptions on preferences guarantee such behaviour. Bell [Management Science, 34(12), 1416–1424, 1988; 41, 1145–1150, 1995a; 41(1), 23–30, 1995b] has addressed this difficult question and characterised the specific functional form of utility functions which allow a finite number of switches between two arbitrary gambles over the entire range of initial wealth. By extending this analysis, and linking the discussion to more recent works, the authors characterise conditions under which a large set of utility functions with respect to their switching characteristics, and discuss the results in the context of the classical notion of decreasing absolute risk aversion.  相似文献
9.
Assume that the random future evolution of values is modelled in continuous time. Then, a risk measure can be viewed as a functional on a space of continuous-time stochastic processes. In this paper we study coherent and convex monetary risk measures on the space of all càdlàg processes that are adapted to a given filtration. We show that if such risk measures are required to be real-valued, then they can only depend on a stochastic process in a way that is uninteresting for many applications. Therefore, we allow them to take values in ( −∞, ∞]. The economic interpretation of a value of ∞ is that the corresponding financial position is so risky that no additional amount of money can make it acceptable. The main result of the paper gives different characterizations of coherent or convex monetary risk measures on the space of all bounded adapted càdlàg processes that can be extended to coherent or convex monetary risk measures on the space of all adapted càdlàg processes. As examples we discuss a new approach to measure the risk of an insurance company and a coherent risk measure for unbounded càdlàg processes induced by a so called m-stable set.Due to errors during the typesetting process, this article was published incorrectly in Finance Stoch 9(3):369–387 (2005). The address of the first author was printed incorrectly, and in the whole paper the angular brackets were misprinted as [ ]. The complete corrected article is given here. The online version of the original paper can be found at: http://dx.doi.org/10.1007/s00780-004-0150-7  相似文献
10.
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