Fixed versus variable rate loans under state-dependent preferences

This paper examines the optimal mix of fixed and variable rate loans of a competitive bank facing uncertain funding costs. The bank's preferences are state-dependent in that the utility function depends on a state variable. We show that the optimal amount of loans extended by the bank depends neither on the state-dependent preferences of the bank, nor on the joint distribution of the marginal cost of funds and the state variable. The bank, however, optimally lends less should it be forced to assume all interest rate risk by exclusively extending fixed rate loans. We show further that a non-positive spread between fixed and variable rate loans is no longer a necessary and sufficient condition for the bank to refrain from extending fixed rate loans should the marginal cost of funds be correlated with the state variable in the sense of expectation dependence. State-dependent preferences as such play a pivotal role in determining the bank's optimal choice between fixed and variable rate loans.     

Ambiguity and spurious precision in the modern microeconomic cost framework

The MMCF stresses ‘variable’ and ‘fixed’ costs; homogenizes the firm's output; and limits itself to a single period to gain insight into the way markets do and/or should behave. Simplifying thus, it confounds expenditures and costs; fixed facilities and fixed costs; time-incremental and output-incremental costs; fixed capital and sunk costs; and ‘drawing board time’ and chronological time. The apparent precision of conclusions following therefrom is of little use in classifying a firm's expenditures even in simple one-site activities, such as a power plant or a cinema; and as is apparent through four econometric studies, MMCF provides little guidance for cost or price policy in network activities, since variable and short-run marginal costs may be defined arbitrarily.     

Socially optimal procurement with tight budgets and rationing

We investigate the behaviour of a social planner that secures the supply of a good, e.g. an environmental benefit, through contracting with private agents. While the social planner seeks to maximise net social benefits, she is also controlled with a fixed budget. Private agents are profit maximising and hold private information concerning their variable costs of production. They also have known fixed costs of contracting. We find that budget constraints and fixed costs change the optimal contract design in more than one way: the social planner minimises costs, rations high-cost contracts to reduce fixed costs and information rents, and distorts contracts for all agent types, including low-cost agents. We find that rationing improves social welfare. Also, even though social costs – including tax distortion – are explicitly taken into consideration, they do not affect the design of optimal contracts when budgets are tight. In those cases the budget constraint dominates the solution.     

Environmental Taxation and Strategic Commitment in Duopoly Models

In this paper, we address the issue of optimalenvironmental taxation under imperfect competition.The problem is analysed for three different types ofduopoly models, the Cournot open and closed loopmodels, and the Stackelberg model. We explicitlyanalyse the role of strategic behaviour. Each firm hasto make a choice of output level and of the level ofa strategic variable. The choice of this strategicvariable affects both marginal cost and emissions. Wecompare the properties of these three duopoly models,and derive and compare optimal environmental taxes. Weshow that whether the optimal tax is lower or higherthan marginal environmental costs depends on theinformation transmission and the effect of thestrategic variable on marginal costs. In addition, thedifferences in market shares, and the influence of thetax on the cost structure play important roles, indetermining optimal emission taxes.     

Fixed versus variable rate loans under regret aversion

This paper examines the optimal mix of fixed and variable rate loans of a competitive bank facing funding cost uncertainty, where the bank is not only risk averse but also regret averse. Regret aversion is characterized by a utility function that includes disutility from having chosen ex-post suboptimal alternatives. We show that a negative spread between fixed and variable rate loans is a necessary but not sufficient condition for the dominance of variable rate loans over fixed rate loans. If the bank optimally extends both fixed and variable rate loans, the total amount of loans depends neither on the bank's regret aversion nor on the funding cost uncertainty. The bank, however, optimally lends less should it be forced to assume the entire funding cost uncertainty by exclusively extending fixed rate loans. Finally, using a two-state example, we show that the bank optimally extends more (less) fixed rate loans than in the case of pure risk aversion if the high (low) marginal cost of funds is more likely to prevail. Regret aversion as such plays a crucial role in determining the bank's optimal choice between fixed and variable rate loans.     

义务教育学校绩效工资改革的经济学分析——基于委托—代理理论的分析框架

本文利用委托—代理理论,对义务教育学校绩效工资改革中教师行为和地方政府行为分别进行了分析。研究发现,绩效工资的最优设计是,工资函数中包含一个固定支付和一个可变支付,这样可以有效减少教师的道德风险行为;如果地方政府掌握了关于教师绩效方面较多的信息,并且改革的政治成本和管理成本较小时,将有利于绩效工资改革的推行。     

Insurance and the behavior of competitive firms under revenue risks: a note

This paper re-examines the model of Ford, Mpuku, and Pattanaik [“Revenue Risks, Insurance, and the Behavior of Competitive Firms”.Journal of Economics 64 (1996): 233–246] wherein a risk-averse competitive firm faces insurable revenue risk. The optimal output and insurance cover of the firm are shown to be deterministically related in that the marginal costs of self-insurance and market insurance are equated. In response to increasing risk aversion, the firm always takes a higher insurance cover. Increasing fixed costs generate an income effect which induces the firm to take a higher insurance cover should the preference of the firm satisfy decreasing absolute risk aversion. Market insurance and self-insurance can be either substitutes or complements, depending on the shape of the variable insurance-premium schedule.     

Emission trading in Europe with an exchange rate

This paper explores the analytical and empirical properties of a new method for emission trading according to a fixed exchange rate. The exchange rate is based on the ratios of the marginal costs of abatement in the optimal solution in order to account for the impact of the location of emission sources on the deposition. It is shown that, generally, this system will not achieve the optimal solution and does not guarantee that environmental deposition constraints are not violated, although total abatement costs are always reduced. A routine was developed to mimic trading as a bilateral, sequential process, subject to an exchange rate. In the example used, results for SO₂ emissions in Europe show that, starting from a uniform reduction, exchange-rate trading achieves higher cost savings than one-to-one trading, without achieving the cost minimum. Sulfur deposition targets are not violated since the initial emission allocation overfulfilled targets at many places. The results are sensitive to: pre-trade emission levels, the transaction costs, the availability of information on potential cost savings and assumptions made on the behavior of trading partners.     

Budget Cuts, Social Assistance and Voluntary Unemployment

The theory of optimal taxation has shown that bunching can be optimal under certain circumstances so that low–skilled agents are not offered any work incentives. Optimal bunching balances the marginal costs of voluntary unemployment and the marginal reduction in information rents for high–skilled workers. This paper demonstrates how the optimal scheme will change if the budget is cut. It shows that a tighter budget constraint will lead to more voluntary unemployment and less work incentives.     

Quality Competition and Social Welfare in Markets with Partial Coverage: New Results*

We use a vertical product differentiation model under partial market coverage to study the social welfare optimum and duopoly equilibrium when convex costs of quality provision are either fixed or variable in terms of production. We show the following new results. First, under fixed costs, the social planner charges a uniform price for the single variant that just covers costs of quality provision. Like the duopoly equilibrium, this socially optimal pricing entails a partially uncovered market, but a smaller share of the market is served compared with the duopoly equilibrium. Second, for the variable cost case, it is socially optimal to provide both high‐ and low‐quality variants, but market shares need not be equal. This differs from the result in fully covered markets. Third, in the duopoly equilibrium, the quality spread is too wide under variable costs relative to the social optimum. Under fixed costs, the duopoly produces two variants, but quality is too low relative to the social optimum, which has only one variant.     

Social optimality and cooperation in nonatomic congestion games

Congestion externalities may result in nonoptimal equilibria. For these to occur, it suffices that facilities differ in their fixed utilities or costs. As this paper shows, the only case in which equilibria are always socially optimal, regardless of the fixed components, in that in which the costs increase logarithmically with the size of the set of users. Therefore, achieving a socially optimal choice of facilities generally requires some form of external intervention or cooperation. For heterogeneous populations (in which the fixed utilities or costs vary across users as well as across facilities), this raises the question of utility or cost sharing. The sharing rule proposed in this paper is the Harsanyi transferable-utility value of the game—which is based on the users’ marginal contributions to the bargaining power of coalitions.     

Exporters in cross‐section: Direct versus intermediated trade

How do producers that export their goods directly differ from those that export through trade intermediaries? We take a standard model of trade with heterogeneous firms and add heterogeneity in quality to the usual heterogeneity in productivity. Modeling trade intermediaries as increasing marginal costs but decreasing fixed costs of exporting, we find that only firms with the highest quality‐adjusted productivity levels choose to export directly. Under certain parameter restrictions, the model shows that direct exporters tend to be larger and charge higher prices for their goods. In contrast to the literature, using Chinese customs data, we confirm that direct exporters do charge higher prices for their goods.     

Process and Product Innovation: Complementarity in a Vertically Differentiated Monopoly with Discrete Consumer Types

This paper examines the complementarity between process and product innovation where process innovation reduces the marginal cost of quality. In the context of a vertically differentiated monopolistic market with discrete consumer types, we investigate how the nature of (fixed versus variable) innovation costs and the distribution of consumers over different types affect the complementarity between process and product innovation. We show that under variable innovation costs a process innovation is more likely to occur alone than both innovations together when taste diversity (or consumer heterogeneity) is not significant and/or when there are more low-type than high-type consumers.     

Social welfare loss due to second-best pricing: an application to the Portuguese telecommunications

The telecommunications industry is usually characterized by low marginal costs and significant fixed costs which are the conditions for the inefficiency of marginal cost pricing. In such cases theory postulates that optimal pricing is obtained by maximizing welfare subject to a restriction of viability of the firm: the second-best pricing scheme. The possible welfare losses due to second-best pricing varies according to the values of marginal costs, prices and demand elasticities. This paper analyses to what extent the second-best pricing has been achieved in the Portuguese telecommunications firm CTT, over the period 1950#150;1984 as well as the magnitude of the price-cost margins and welfare losses created. We obtained empirical evidence of the presence of economies of scale, a welfare loss estimate of 1% of the telecommunications receipts and a result that price was 40% greater than marginal cost. We concluded that price regulation and public ownership of the firm did not seriously affect social welfare over the sample period (it should be noted that it is the non-digital and fixedwire infrastructure period). Therefore, it is important to study the impact of new digital and non-wire technologies and new services provided in the old regulatory scenery.     

Capacity-based versus time-based access charges in telecommunications

The Spanish telecommunications regulator recently introduced a capacity-based access system. Under this regulation, entrants pay a flat charge for the interconnection circuits leased to the incumbent operator and are able to freely use these circuits to provide telecommunications services. This paper determines the optimal capacity-based access charge in the presence of time varying demand and capacity constraints and compares this regulation with the traditional time of use access system. The analysis shows that either type of regulation allows the incumbent to recover its fixed costs and can promote the same pattern of entry. Finally, the optimal capacity-based access charge when the entrant has market power is derived.      

A Note on Emissions Taxes and Incomplete Information

In contrast with what we perceive is the conventional wisdom about setting a second-best emissions tax to control a uniformly mixed pollutant under uncertainty, we demonstrate that setting a uniform tax equal to expected marginal damage is not generally efficient under incomplete information about firms’ abatement costs and damages from pollution. We show that efficient taxes will deviate from expected marginal damage if marginal damage is increasing and there is uncertainty about the slopes of the marginal abatement costs of regulated firms. Moreover, tax rates will vary across firms if a regulator can use observable firm-level characteristics to gain some information about how the firms’ marginal abatement costs vary.     

Entry Policy and Entry Subsidies

Optimal entry policy is considered in markets served by both domestic and foreign firms. Compared with the prior entry literature, introducing foreign producers as market participants reduces incentives for entry deterrence and enhances incentives for entry subsidization. Incentives are changed because entry produces "terms-of-trade" gains. The optimal entry subsidy is analyzed under complete and incomplete information regarding the entrant's costs. Incomplete cost information creates differences in the optimal subsidy for domestic and foreign entrants, with foreign entrants relatively less subsidized. Domestic entrants with low marginal costs are oversubsidized and those with high marginal costs are undersubsidized.     

土地投资与土地租赁最优动态合约设计

在现有的制度框架下,由于种种因素所导致的土地使用不当或开发过度而造成的土地质量下降问题日益严重,基于此,文章在充分考虑农业生产活动和不完全合约的特征以及土地质量的动态演变下建立了一个动态的土地最优租赁模型。受投资和自然侵蚀（主要指土地使用不当或过度使用）的影响,土地质量将随时间而改变,在完全信息条件下,以固定报酬为租赁者参与条件,土地所有者的最优为投资与劳动投入的边际收益等于边际成本。在不完全信息条件下,土地所有者的最优合约由三个参数（单位投资成本,产出分享比例参数,为固定支付数量参数）决定。模型显示分成制合约能够对土地租赁者给予足够的投资激励,土地所有者可以取得投资和努力投入的最优。     

Product Market Integration and Wages in Unionized Countries

This paper addresses the effects of product market integration on wages. We develop a two–country general equilibrium model of international trade with imperfectly competitive product markets and unionized labor markets. Integration is modelled as either a fall in fixed or variable trade costs. A reduction in fixed trade costs leads to an unambiguous decrease in wages, whereas a reduction in variable trade costs has an ambiguous effect on wages.
JEL classification : F 15; J 5; L 13     

HAVE RENEWABLE PORTFOLIO STANDARDS RAISED ELECTRICITY RATES? EVIDENCE FROM U.S. ELECTRIC UTILITIES

Using a panel dataset of U.S. electric utilities, we investigate the effect of a Renewable Portfolio Standards (RPS) on the rates of electric utilities affected by the mandate. Our findings are twofold. First, we find that, on average, electric utilities affected by an RPS mandate charged a higher electricity rate. This would suggest that an RPS mandate is a costly constraint on the utilities that have to comply with the requirement. The second finding of our analysis is that marginal increases in a utility's RPS requirement do not necessarily translate into higher electricity rates. This would imply that the costs imposed on utilities affected by the RPS mandate tend to be fixed costs rather than variable costs. We also find that controlling for time‐varying unobserved factors at the state level is key to identifying the RPS effect on electricity retail rates. (JEL Q42, Q48, L98)