Credit mismatch and breakdown

This paper studies the phenomenon of mismatch in a decentralized credit market where borrowers and lenders must engage in costly search to establish credit relationships. Our dynamic general equilibrium framework integrates incentive based informational frictions with a matching process highlighted by (i) borrowers' endogenous market entry and exit decision (entry frictions) and (ii) time and resource costs necessary to locate credit opportunities (search frictions). A key feature of the incentive compatible loan contract negotiated between borrowers and lenders is the interaction of informational frictions (in the form of moral hazard) with entry and search frictions. We find that the removal of entry barriers can eliminate incentive-based equilibrium credit rationing. More generally, entry and incentive frictions are important in understanding the extent of credit rationing and credit mismatch, while search and incentive frictions are important for understanding credit market breakdown.     

The price of size and financial market allocations

A positive equilibrium price of size exists when size is a scarce productive resource. This paper articulates a costly-state-verification model of financial contracting with heterogeneous lender sizes. We find that in a non-rationing direct lending equilibrium, (1) Financial contract is nonlinear in that expected rates of return on loans increase with loan sizes; (2) Endogenous asset indivisibility arises; (3) The total social surplus under a nonlinear contract is less than that under a linear structure; (4) Average debt size affects the market value of a firm. We also extend analysis to the case of credit rationing and financial intermediation.I thank James A. Mirrlees, Yi Jin, Charles Ka Yui Leung, and seminar participants in the 2004 Royal Economic Society Conference and the Chinese University of Hong Kong for helpful comments. Suggestions from Stephen D. Williamson (the co-eidtor) and an anonymous referee are especially acknowledged.     

Aggregate fluctuations, financial constraints and risk sharing

Summary. Private information and costly state verification often result in credit rationing in models with smooth investment, affecting both loan size and total investment. The optimal contract is derived in a dynamic stochastic growth model with capital for two types of models: one with symmetric information and the other with asymmetric information and costly state verification. When all information is observed costlessly, the equilibrium optimal contract provides complete insurance to risk-averse savers against aggregate fluctuations. When information is asymmetric and there is costly state verification, the equilibrium optimal contract provides only partial insurance against aggregate shocks. The extent of insurance is measured by the marginal rate of transformation of consumption between borrowers and lenders which is closely linked to the user cost of capital. The deadweight monitoring costs create a wedge between a borrower's cost of capital and a lender's stochastic discount factor, with two results: (i) fluctuations in the user cost of capital provides a mechanism by which aggregate shocks can be␣propagated; (ii) the distribution of capital's share of output among borrowers, lenders, and monitoring costs varies even if capital's share is constant. Capital market frictions not only amplify aggregate fluctuations but also generate cross-sectional fluctuations that may not be observable in aggregate data. Received: November 17, 1997; revised version: April 20, 1998     

Industry equilibrium with outside financing and moral hazard: Implications for market integration

In this paper, we study industry equilibrium under the assumptions that (1) firms need outside financing and (2) they have a moral hazard problem in taking potentially excessive risks. We characterize an industry equilibrium with credit rationing, where firms choose not to take risks, and compare this to the industry equilibrium in the absence of credit rationing. In both cases, we show that competition increases and prices decline as markets integrate. However, in markets with credit rationing there is typically more exit, a smaller decline in prices and, most strikingly, the market value of the industry increases rather than decreases.     

Credit rationing, interest rates and capital accumulation

A simple endogenous growth model is developed to characterize credit rationing through the capital accumulation process. The model shows that credit rationing on investment loans decreases as capital accumulates and the enforcement cost decreases. We find that the evolution of the interest rate factor (lending interest rate/depositing interest rate) has a similar pattern to the credit rationing probability. However, simulations show that the evolution of the interest rate spread through the capital accumulation process depends on the degree of the enforcement cost. In the empirical part of the paper, we consider fifty-two countries, at different stages of development, over the period 1995–2005. We confirm the theoretical findings relative to the evolution of the interest rate spread and interest rate factor with capital accumulation. These results suggest that, for economies endowed with costly contract enforcement, the interest rate factor could be a better proxy of credit rationing than the interest rate spread.     

Compensating for the winner's curse: Experimental evidence

We conduct experiments on common value auctions with rationing. In each auction, the good is randomly allocated to one of the k highest bidders, at the (k+1)st highest price. When k>1, bidders are rationed. As the degree of rationing increases, the equilibrium bid function increases. Consistent with prior literature, we find that bidders suffer from the winner's curse and lose money on average. However, bids in the experiments do adjust in the appropriate direction as the degree of rationing changes, providing support for the comparative statics implications of the theory. Our results are consistent with subjects having an intuitive understanding of the winner's curse, but being unable to compute the equilibrium bid levels.     

Public Sector Rationing and Private Sector Selection

We study the interaction between nonprice public rationing and prices in the private market. Under a limited budget, the public supplier uses a rationing policy. A private firm may supply the good to those consumers who are rationed by the public system. Consumers have different amounts of wealth, and costs of providing the good to them vary. We consider two regimes. First, the public supplier observes consumers’ wealth information; second, the public supplier observes both wealth and cost information. The public supplier chooses a rationing policy, and, simultaneously, the private firm, observing only cost but not wealth information, chooses a pricing policy. In the first regime, there is a continuum of equilibria. The Pareto dominant equilibrium is a means‐test equilibrium: poor consumers are supplied while rich consumers are rationed. Prices in the private market increase with the budget. In the second regime, there is a unique equilibrium. This exhibits a cost‐effectiveness rationing rule; consumers are supplied if and only if their cost–benefit ratios are low. Prices in the private market do not change with the budget. Equilibrium consumer utility is higher in the cost‐effectiveness equilibrium than the means‐test equilibrium.     

Calibration in applied general equilibrium modelling: The case of rationed households

In this paper an adaptation of the general calibration method for applied equilibrium models is proposed which takes into account excess demands or supplies as result of rationing. This adaptation is applied to a multi-level CES-type household. It turns out that the computational burden of this example stays limited as compared with calibration without rationing.     

Financial constraints and unemployment equilibrium

The aim of this paper is to show that a robust determination of unemployment equilibria can be based on the integration of credit rationing into a general equilibrium model. We first review some of the Keynesian macroeconomic models. We show that the problems bequeathed by Keynes’ legacy are only partially solved by the strand of the new Keynesian economics based on market imperfections and endogenous rigidities. In order to overcome these problems we refer to credit rationing. In particular, we build a simple general equilibrium model in which prices are–in principle–perfectly flexible and credit rationing implies unemployment equilibria.     

Price rigidities and institutional variations in markets with posted prices

Summary An exchange economy with price rigidities and rationing is considered. The rationing systems allowed are very general. Several characterizations of the set of constrained equilibria are given, and new equilibrium existence results are provided. More specifically, well-known properties like the existence of equilibria without rationing of the numeraire commodity, and the existence of supply and demand constrained equilibria without rationing on the market of at least one commodity follow as special cases from the theorems proved. Finally it is shown that the equilibrium correspondence is upper semi-continuous, while it is continuous on a residual set of points. In order to prove these results a new continuity result for the budget correspondence is given.The author would like to thank Dolf Talman, Gerard van der Laan, Jan van Geldrop, and an anonymous referee for their valuable comments on previous drafts of this paper. The author is financially supported by the Cooperation Centre Tilburg and Eindhoven Universities, The Netherlands. This research is part of the VF-program Competition and Cooperation.     

On supply-constrained equilibria

The paper gives sufficient conditions for the existence of an equilibrium with price rigidities and quantity rationing where: (i) demand is never rationed; (ii) net trades of an a priori chosen numeraire are never rationed; and (iii) supply is rationed only when relative prices are downward rigid.     

Credit rationing and the adjustment of the loan rate: An empirical investigation

In this paper, models of credit rationing are analyzed using quarterly data on domestic bank loans of four countries. First, models of temporary (dynamic) credit rationing are considered. The price (interest rate) equation proposed by Bowden is estimated assuming equal and unequal adjustment speeds under excess demand and supply conditions. Second, the stability of the interest-rate equation is tested. We motivate this test by the fact that permanent (supply-side equilibrium) credit rationing implies instability of this regression relationship. Statistically significant credit-rationing effects are found for the countries considered, with the exception of the U.S.     

Price rigidity and market-clearing: a conceptual clarification

This article tests the view (derived from Hicks and Patinkin)that non-market clearance may be caused by slow adjustment (‘processrigidity’). There are models where market-rationing ispresent and derives from some form of rigidity, but this rigiditycannot be considered as process rigidity. It is similarly possibleto accommodate the idea of process rigidity within the Marshallianresearch programme. What is missing is that market-rationingmight be its corollary. The reason such a causal link is oftenbelieved to exist lies in a generic use of the concept of rigidity,used to designate alternative and incompatible phenomena: ‘exogenousend-state rigidity’ and ‘equilibrium end-state rigidity’,as well as process rigidity. It is true that these first twoforms of rigidity create market rationing. The belief that slowadjustment also generates market rationing results from theunwarranted extension to process rigidity of conclusions whichare only valid for the first two.     

Unemployment, credit rationing, and capital accumulation: a tale of two frictions

Summary. This paper develops a model in which two information frictions are embedded into an otherwise conventional neoclassical growth model; an adverse selection problem in the labor market and a costly state verification problem in the credit market. The former allows equilibrium unemployment to arise endogenously while the latter is responsible for equilibrium credit rationing. This structure is used to investigate a theoretical link between the level of unemployment and the extent of credit rationing (and capital formation). The presence of the labor market friction is enough to generate scope for multiple steady state equilibria. The model also generates a large class of endogenous cyclical and chaotic dynamical equilibria. Development trap phenomena may also appear. Received: April 10, 1998; revised version: May 20, 1998     

Bank structure, capital accumulation and growth: a simple macroeconomic model

Summary. This paper analyzes the equilibrium growth paths of two economies that are identical in all respects, except for the organization of their financial systems: in particular, one has a competitive banking system and the other has a monopolistic banking system. In addition, the sources of inefficiencies, as a result of monopoly banking, and their relationship to the existence of credit rationing are explored. Monopoly in banking tends to depress the equilibrium law of motion for the capital stock for either of two reasons. When credit rationing exists, monopoly banks ration credit more heavily than competitive banks. When credit is not rationed, the existence of monopoly banking leads to excessive monitoring of credit financed investment. Both of these have adverse consequences for capital accumulation. In addition, monopoly banking is more likely to lead to credit rationing than is competitive banking. Finally, the scope for development trap phenomena to arise is considered under both a competitive and a monopolistic banking system. Received: September 20, 1999; revised version: December 3, 1999     

On the theory of effective demand under stochastic rationing

The concept of effective demand under stochastic manipulable quantity rationing is shown to be compatible with the existence of nontrivial equilibrium. It is argued that stochastic rationing is unavoidable for any satisfactory definition of effective demand. Moreover, manipulability of the rationing mechanism is necessary for reasons of logical consistency, at least if the distribution over realisations for each agent depends on his own action and on the aggregate values of demand and supply only. In that case, anonymous stochastic rationing schemes reduce to those random functions, the mean value function of which is the uniform proportional rationing mechanism.     

Italian households’ debt: the participation to the debt market and the size of the loan

This paper analyses Italian households’ participation to the debt market, separating the probability of demanding a loan from the probability of being rationed by lenders; on the supply side of the market specific attention is paid to enforcement costs of the loan contract when customers default. A new result is that the age of the household head acts essentially as a demand factor, rather than a variable influencing the lender’s choice. Both current and future households’ income increase the demand for loans and reduce credit rationing. Self-employed workers are more rationed by lenders. Credit constraints are also linked to the area where the household lives, partly because of different enforcement costs. The final part of the paper analyses the equilibrium quantity of the loan, for households who have a loan and are not constrained. The loan size is positively linked to household net wealth and income profile. An important contribution of this paper is the finding that, not only the participation to the debt market, but also the loan size is negatively affected by enforcement costs.      

Capacity constrained firms in (labor) markets with adverse selection

Summary. We discuss a competitive (labor) market where firms face capacity constraints and individuals differ according to their productivity. Firms offer two-dimensional contracts like wage and task level. Then workers choose firms and contracts. Workers might be rationed if the number of applicants exceeds the capacity of the firm. We show that under reasonable assumptions on the distribution of capacity an equilibrium in pure strategies (by the firms) exists. This result stands in contrast to the case of unlimited capacity. The utility level is uniquely determined in equilibrium. No rationing occurs in equilibrium, but it does off the equilibrium path. Received: December 29, 1999; revised version: November 30, 2000     

Rationing rule, imperfect information and equilibrium

Summary. The impact of imperfect information on the price setting behaviour of firms is analysed. Specifically, consumers support an information cost to become informed about prices. Firms are endowed with U-shaped average cost curves. If a firm does not supply more than its competitive supply as determined by its marginal cost schedule, then we show that the existence of a pure strategy equilibrium is conditional on the rationing rule employed. If uninformed consumers are served first then the monopoly price is the sole equilibrium whenever consumers' information costs are high enough. Otherwise, a pure strategy equilibrium fails to exist contrary to the results of Salop and Stiglitz (1977) or Braverman (1980) who implicitly suppose that firms supply all the demand at a given price. Received: May 17, 1999; revised version: September 15, 2000     

Endogenous Verifiability and Optimality in Agency

This paper investigates the optimal contract design in a principal-agent model where verification of an agent's action is endogenously determined through strategic interactions between contracting parties. We derive a necessary and sufficient condition for the first best outcome to be implemented as an equilibrium. The equilibrium has the following features: (i) The action level that the agent chooses is not verified even if it is possible. (ii) Nevertheless, the first best can be attained by making a contract contingent on the unverified action. Journal of Economic Literature Classification Numbers: D20, K40.