PRICING AND HEDGING OF DERIVATIVES BASED ON NONTRADABLE UNDERLYINGS

This paper is concerned with the study of insurance related derivatives on financial markets that are based on nontradable underlyings, but are correlated with tradable assets. We calculate exponential utility‐based indifference prices, and corresponding derivative hedges. We use the fact that they can be represented in terms of solutions of forward‐backward stochastic differential equations (FBSDE) with quadratic growth generators. We derive the Markov property of such FBSDE and generalize results on the differentiability relative to the initial value of their forward components. In this case the optimal hedge can be represented by the price gradient multiplied with the correlation coefficient. This way we obtain a generalization of the classical “delta hedge” in complete markets.     

INDIFFERENCE PRICE WITH GENERAL SEMIMARTINGALES

Using duality methods, we prove several key properties of the indifference price π for contingent claims. The underlying market model is very general and the mathematical formulation is based on a duality naturally induced by the problem. In particular, the indifference price π turns out to be a convex risk measure on the Orlicz space induced by the utility function.     

WATER BILL ESTIMATION WHEN PRICE IS CRYPTIC: EXPERIENCE FROM WINDHOEK,NAMIBIA

For water policy to be effective, policy makers must know how water users perceive and respond to changes in water prices. However, it is not uncommon for water prices faced by consumers to be unclear. In Windhoek, Namibia, the marginal and average water price is difficult to calculate from the information provided in users' utility bills. This paper applies a hedonic pricing approach to investigate price perceptions of water users in a setting with cryptic price information. Using self‐reported water charges as the dependent variable, the pricing model utilises reported utility characteristics and other factors that may affect perceived price. Low‐income standpipe water users report a weighted average monthly charges of N$24.68, whereas users in high income segments report N$521.34. This reflects differences in service levels, possible subsidies to low‐income users and potential errors in respondents' understanding of their water price. Average price per litre (N$11.78 for the low‐use segment; N$1.89 for the highest segment of Tier 1 water use) tends to be perceived as higher by those with lower water use even though average prices in the relevant range should generally be identical.     

小户型设计中的扩展艺术

由于房价高企,城市人口增多,小户型成为年轻人的热门选择。户型虽小但是生活却不会因此而缩小,如何在有限的空间中创造出最大的使用功能,是目前很受关注的一个问题。因为小户型的空间划分和布局受到户型和面积的限制,装修时往往导致房屋空间功能不全,或者房屋的整体协调性美观程度降低。因此在装修前,需要按照自己的需求对空间进行重新划分,使其在更合理化、人性化,同时整体协调,不杂乱。只要有合理的布局,小户型也可以拥有舒适的生活空间。     

农产品流通中逆向物流与价值链最大化研究

分析了当前我国农产品流通中存在的问题,提出了通过逆向物流实现农产品价值链的最大化,从而放大农产品在从农村到城镇的逆向流通的价值效应.通过优化物流运送方式,探索出了农产品逆向流通效益最大化的运作模式,提出农产品流通各个供应链要强化协作,各自发挥优势,从而实现双向共赢.     

不可再生资源的最优储备与开发战略控制模型

宏观经济系统中，不可再生资源储备与开发的战略决策，是该系统中物流动态发展的基础，更是系统经济可持续发展，并在未来经济竞争中维持资源优势的决定性要不比，在进行了五种战略思考的基础上，构建了四个不可再生资源的最优储备与开发的战略控制模型。     

A geometric approach to portfolio optimization in models with transaction costs

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.     

Asymptotic analysis for optimal investment and consumption with transaction costs

We consider an agent who invests in a stock and a money market and consumes in order to maximize the utility of consumption over an infinite planning horizon in the presence of a proportional transaction cost . The utility function is of the form U(c) = c^1-p/(1-p) for p > 0, . We provide a heuristic and a rigorous derivation of the asymptotic expansion of the value function in powers of , and we also obtain asymptotic results on the boundary of the no-trade region.Received: July 2003, Mathematics Subject Classification (1991): 90A09, 60H30, 60G44JEL Classification: G13Work supported by the National Science Foundation under grants DMS-0103814 and DMS-0139911.     

Cost information sharing with uncertainty averse firms

Summary. A homogeneous Cournot duopoly with asymmetric information is analyzed. Every firm learns its own marginal cost parameter, but not the marginal cost parameter of the opponent. Every firm can commit to revealing its private information to the other firm, i.e. to share information. The influence of uncertainty aversion on the readiness of the duopolists to share cost information is analyzed. Uncertainty aversion is modeled according to the Choquet utility theory. It is shown that low uncertainty aversion leads the firms to share information, while high uncertainty aversion leads the firms not to share. A simple economic explanation for this result is given.Received: 5 January 2001, Revised: 7 May 2003, JEL Classification Numbers: D43, D81, D82.I wish to thank Jürgen Eichberger, Volker Krätschmer, Willy Spanjers, seminar participants at Universität des Saarlandes, seminar participants at University College London, participants in the conference of the Verein für Socialpolitik in Mainz 1999 and an anonymous referee for helpful comments. The views expressed in this paper are those of the author and do not necessarily reflect the views of the European Central Bank.     

Deregulation and environmental differentiation in the electric utility industry

This paper analyzes how economic deregulation impacts firm strategies and environmental quality in the electric utility industry. We find evidence that the deregulation introduced to this historically staid industry has stimulated environmental differentiation. Differentiation is most likely to appear where its point of uniqueness is valued by customers, and we confirm this relationship in our sample. Specifically, utilities that served customers who exhibited higher levels of environmental sensitivity generated more ‘green’ power. The tendency for firms to differentiate in this way is lessened if they are relatively more dependent on coal‐fired generation or relatively more efficient. Thus, there is evidence that firms sort themselves into either differentiation or low‐cost strategies as the competitive realities of a deregulated world unfold. Deregulation and the ensuing environmental differentiation illustrate how utilities exploited formerly unmet customer demand for green power. The result has been greater levels of renewable generation and, hence, a cleaner environment. Copyright © 2007 John Wiley & Sons, Ltd.