Optimal pricing and capacity choice for a public service under risk of interruption

We develop rules for pricing and capacity choice for an interruptible service that recognize the interdependence between consumers’ perceptions of system reliability and their market behavior. Consumers post ex ante demands, based on their expectations on aggregate demand. Posted demands are met if ex post supply capacity is sufficient. However, if supply is inadequate all ex ante demands are proportionally interrupted. Consumers’ expectations of aggregate demand are assumed to be rational. Under reasonable values for the consumer’s degrees of relative risk aversion and prudence, demand is decreasing in supply reliability. We derive operational expressions for the optimal pricing rule and the capacity expansion rule. We show that the optimal price under uncertainty consists of the optimal price under certainty plus a markup that positively depends on the degrees of relative risk aversion, relative prudence and system reliability. We also show that any reliability enhancing investment—though lowering the operating surplus of the public utility—is socially desirable as long as it covers the cost of investment.     

Growth,selection and appropriate contracts

We study a dynamic model where growth requires both long-term investment and the selection of talented managers. When ability is not ex-ante observable and contracts are incomplete, managerial selection imposes a cost, as managers facing the risk of being replaced choose a sub-optimally low level of long-term investment. This generates a trade-off between selection and investment that has implications for the choice of contractual relationships and institutions. Our analysis shows that rigid long-term contracts sacrificing managerial selection may prevail at early stages of economic development and when heterogeneity in ability is low. As the economy grows, however, knowledge accumulation increases the return to talent and makes it optimal to adopt flexible contractual relationships, where managerial selection is implemented even at the cost of lower investment. Measures of investor protection aimed at limiting the bargaining power of managers improve selection under short-term contracts. Given that knowledge accumulation raises the value of selection, the optimal level of investor protection increases with development.     

Access Regulation and the Timing of Infrastructure Investment

This paper examines infrastructure investment incentives under a system of 'regulation by negotiation'. We demonstrate that an appropriately specified access pricing rule can induce private firms to choose to invest at a socially optimal time. The optimal regulatory regime allocates investment costs to the access provider and seeker based on their relative use-values of the facility. It is superior to an unregulated environment because it commits firms ex ante to an access charge that allows for sunk cost recovery. In addition, we show that when the time that access is sought is flexible both replacement- and historical-cost asset valuation methodologies can lead to optimal investment incentives. However, when seeker timing is restricted, historical cost can give rise to distorted incentives.     

Imperfect credibility,sticky wages,and welfare

This paper studies optimal monetary policy under imperfect credibility in a New Keynesian model with staggered price and wage setting. In our imperfect credibility framework, the central bank commits to a policy plan but occasionally reneges on past promises with a given common knowledge probability. We find that the welfare gains from increasing credibility are approximately linear on the initial credibility level. We also find that the output-inflation stabilisation trade-off is nonmonotonic as higher credibility does not always reduce output volatility. The variance decomposition shows that wage markup shocks are the main driver of economic fluctuations and that these shocks are better contained, even in relative terms, when credibility is high. We then show that the degree of credibility impacts the effect of wage flexibility on welfare. When credibility is low, monetary policy is less potent and the economy can experience a feedback loop between wage volatility and price volatility. We show, though, that once wage markup shocks are taken into account, wage flexibility is usually welfare improving.     

Foreign direct investment and the correlation between cost and revenue

This paper studies irreversible investment in the presence of uncertain revenue and uncertain cost of production. Using methodology of real options, we find the threshold markup of price over cost that triggers investment. When the processes for revenue and cost are negatively correlated, the standard result that uncertainty delays investment always holds. However, when these two processes are positively correlated, greater uncertainty of revenue or cost might accelerate investment. As less correlated cost and revenue, vertical FDI is less desirable than producing at home, but horizontal FDI that brings production to the output market is an advantage.     

Testing for fixity of the labour input under non competitive behaviour in Italian and French manufacturing

The flexibility in labour markets and the degree of competition in output markets are investigated in the context of the Italian and French manufacturing sectors. Conventional wisdom seems to point out that in countries with institutional constraints in the labour market it may not be easier to optimize over labour than over capital. We test whether labour is fixed starting with a measure of labour as total hours worked. As the hypothesis cannot be rejected, we do not proceed to test a further hypothesis, based on the measurement of labour as number of workers. We use a variable cost model supplemented with a markup pricing rule to allow for non competitive market structure. From the results it emerges that the output markets are non competitive. We derive analytically and provide a measurement of both short-run and intermediate-run markups. We also derive a measure of the long-run cost-minimizing level of labour: the ratio of optimal to actual level gives the degree of under- or over-utilization of labour.     

Efficient contract enforcement

We study how the efficient choice of contract enforcement interacts with the efficient allocation of capital in a simple production economy. Contract enforcement makes trade possible but requires an aggregate investment of capital that is no longer available for production. In such an economy, more dispersion in ex-ante marginal products makes it optimal to invest more resources in enforcement. Furthermore, implementing the optimal allocation requires a specific distribution of the cost for enforcement across agents that is not monotonic and results in a redistribution of endowments. At the efficient solution, agents at the bottom of the endowment distribution benefit the most from investment in enforcement and these investments lead to a reduction in consumption and income inequality.     

The regional allocation of infrastructure investment: The role of equity, efficiency and political factors

This paper analyses the main determinants of the regional allocation of infrastructure investment. The estimated investment equation is derived from a general specification of the government's objective function (Berhman and Craig, Am. Econom. Rev. 77 (1987) 315), which accounts both for the equity-efficiency trade-off and for deviations from this rule that arise because of political factors. The reaction of investment to changes in the regional output provides information about the strength of the equity-efficiency trade-off. The main political factor considered is a measurement of the electoral productivity of funds invested in each region. The equation is estimated from panel data on investment and the capital stock of transportation infrastructure (i.e., roads, rails, ports and airports) for the Spanish departments (NUTS3) during the period 1987-1996. We use a dynamic specification of the equation that allows for slow adjustment and which is estimated by GMM methods (Arellano and Bond, Rev. Econom. Stud. 58 (1991) 277). The results suggest that efficiency criteria play only a limited role in the geographical distribution of government infrastructure investment. Specific regional infrastructure needs and political factors both appear to be factors that do explain the regional allocation of infrastructure investment.     

Regulating Private Infrastructure Investment: Optimal Pricing for Access to Essential Facilities

This paper analyzes optimal pricing for access to essential facilities in a competitive environment. The focus is on investment incentive issues arising from regulation under complete information. To that end, examining the provision of a natural monopoly infrastructure with unlimited capacity, it is shown that the fixed component of a regulated access price can be structured so as to induce a race between market participants to provide the infrastructure. An appropriate pricing formula can ensure that a single firm chooses to invest at the socially optimal time (taking into account producer and consumer surplus) despite the immediate access granted to rivals and the non-existence of government subsidies. Under the optimal pricing formula, firms choose their investment timing based on their desire to pre-empt their rivals. This pricing formula is efficient (a two part tariff), implementable ex post, and robust to alternative methods of asset valuation (replacement or historical cost). When firms are not identical, the access pricing formula resembles, in equilibrium, a fully distributed cost methodology.     

Cyclical fiscal rules for oil-exporting countries

Budget-balance tax-gap rules are preferred to other fiscal policy rules to stabilize the macroeconomic volatility and welfare in oil-exporting countries. The output-inflation trade-off is of particular concern for oil exporters relative to non-oil commodity exporters due to the pass through of oil prices into headline inflation which warrants fiscal reaction to crude oil revenue. This result is robust to several instruments satisfying the rule but with reduced efficiency for those instruments that impact potential output such as government investment and capital taxes. These rules are desirable for fixed exchange rate regimes but are unable to achieve the same degree of stability as when coordinated with inflation-targeting monetary policy. Even under optimal inflation-targeting regimes, the adoption of budget-balance tax-gap rules can produce reductions in macroeconomic volatility and welfare gains.     

Optimal monetary policy for a small open economy

This paper focuses on the design of monetary policy rules for a small open economy. The model features optimizing behavior, general equilibrium and price stickiness. The real exchange rate is shown to affect the firm's real marginal cost, aggregate supply and aggregate demand. The welfare objective depends on the openness of the economy, and the optimal policy rule differs from that which obtains in a closed economy. The inflation versus output gap stabilization trade-off is caused by the real exchange rate. The implied optimal monetary policy regime is domestic inflation target coupled with controlled floating of the real exchange rate.     

Progressive Taxation, Tax Exemption, and Irreversible Investment under Uncertainty

We analyze the impact of progressive taxation on irreversible investment under uncertainty. We show that if tax exemption is lower than sunk cost, higher tax rate will decelerate optimal investment by increasing the optimal investment threshold, while if tax exemption exceeds sunk cost, three different regimes arise. For “small” volatilities the optimal investment threshold is a positive function of volatility, but independent of tax rate. For “medium” volatilities it is independent of both tax rate and volatility. Finally, for “high” volatilities the optimal investment threshold depends positively on volatility, but negatively on tax rate so that we have “tax paradox”.     

Optimal Provision of Public Goods: A Synthesis*

The standard approach to the optimal provision of public goods highlights the importance of distortionary taxation and distributional concerns. A new approach neutralizes distributional concerns by adjusting the income tax schedule. We demonstrate that both approaches are derived from the same basic formula. We also take the new approach further by deriving an intuitive formula for the optimal level of public goods, without imposing strong assumptions on preferences. This formula shows that distortionary taxation has a role to play, as in the standard approach. However, the main determinants of optimal provision are different, and the modified Samuelson rule is likely to lead to underprovision.     

The choice of an optimum exchange currency regime for a small economy: An econometric analysis

This paper investigates empirically the issue of a fixed versus a flexible exchange currency regime for a small economy: The West African Monetary Union. The econometric analysis implements a Mundellian trade-off between economic development and monetary stability which measures the main cost and benefit of the various exchange currency regimes examined. The empirical results indicate that the fixed trade-weighted basket peg is optimal by the Tower and Willet criterion and that it meets some of Kenen's criteria for an efficient exchange currency regime.     

Preparing for catastrophic climate change

We study optimal adaptation to climate change when the harmful consequences of global warming are associated with uncertain occurrence of abrupt changes. The adaptation policy entails the accumulation of a particular sort of capital that will eliminate or reduce the catastrophic damage of an abrupt climate change when (and if) it occurs. The occurrence date is uncertain. The policy problem involves balancing the tradeoffs between the (certain) investment cost prior to occurrence and the benefit (in reduced damage) that will be realized after the (uncertain) occurrence date. For stationary economies the optimal adaptation capital converges monotonically to a steady state. In most cases, investment begins immediately. However, if the initial adaptation capital exceeds a pre-specified threshold level, which lies above the optimal steady state, investment is delayed while the capital stock decreases (due to depreciation) and commences only when it reaches this threshold level. For growing economies the optimal adaptation capital stock approaches the maximal economic level above which further accumulation is ineffective.     

THE EFFECTS OF ABANDONMENT OPTIONS ON INVESTMENT TIMING AND INTENSITY

This paper examines how the presence of an abandonment option affects the timing and intensity of a firm’s investment. We develop a continuous‐time model wherein a firm is endowed with a perpetual option to invest in a project at any time by incurring an investment cost at that instant. The amount of the investment cost is directly related to the intensity of investment that is endogenously chosen by the firm at the investment instant. The project generates a stream of stochastic revenue flows with a concomitant stream of constant cost flows, both of which increase with the investment intensity. We show that allowing the firm to make an irreversible decision to abandon the project does not affect the firm’s optimal investment intensity if the investment cost is totally reversible. Otherwise, the option to abandon the project induces the firm to choose a lower level of investment intensity. Furthermore, we show that the presence of the abandonment option pushes down the firm’s optimal investment trigger, thereby hastening the undertaking of the project.     

The effects of irreversibility on the timing and intensity of lumpy investment

This paper examines how changes in irreversibility of investment affect the timing and intensity of lumpy investment. We develop a continuous-time model wherein a firm is endowed with a perpetual option to invest in a project at any time by incurring a partially reversible investment cost at that instant. The amount of the investment cost is directly related to the intensity of investment that is endogenously chosen by the firm at the instant when the investment option is exercised. We show that higher irreversibility of investment induces the firm to raise its optimal investment trigger, thereby deferring the undertaking of the project. Furthermore, we show that changes in irreversibility of investment have no impact on the firm's optimal investment intensity due to two opposing effects that exactly offset each other. Finally, we show that higher irreversibility of investment reduces the value of the investment option and, therefore, makes the firm less valuable.     

Takeup,social multipliers and optimal social insurance

This paper examines the optimal provision of unemployment insurance (UI) in a framework that accounts for behavioral responses along both the intensive and extensive margins. Two formulations of takeup are considered: in the first, individuals face a takeup cost that is exogenous; in the second, the cost depends endogenously on the takeup rate. Such endogenous costs to takeup lead to a social multiplier, a reduced-form parameter summarizing the strength of social interactions. This paper derives a formula for the optimal replacement rate in terms of the takeup and duration elasticities, and the social multiplier. The formula is applied by estimating the social multiplier using policy variation in UI benefit levels. The results suggest that social multiplier effects account for 35% of the total effect of UI on takeup and yield an optimal replacement rate around 60% of pre-unemployment wages, 20% higher than previous estimates.     

Taylor Rule implementation of the optimal policy at the zero lower bound: Does the cost channel matter?

This paper analyzes the implementation of the optimal policies at the Zero Lower Bound (ZLB) by the Taylor rule in the presence of a cost channel. We find that, the presence of a cost channel significantly impairs the ability of the Taylor rule to implement optimal policies when economy is subject to the ZLB. The main findings of the paper are, (i) the Taylor rule with optimally chosen inflation target partially implements the optimal discretionary policy but cannot implement the optimal policy under commitment, and (ii) the T-only policy, which follows discretion after an optimally chosen exit date from the ZLB, is the best that can be implemented by the Taylor rule in the presence of cost channel.     

Optimal fiscal policy in an endogenous growth model with public capital: a note

This note presents an investigation of the optimal tax rule in endogenous growth models with public capital. It is presumed that the government levies only an income tax in addition to financing public investment. Furthermore, a household’s saving is deducted from the income tax. We find the optimal tax rule whereby the social optimum is attainable. The manner by which a government imposes a tax on income and administers tax deductions is important for attaining a socially optimal situation.