Investment and deposit contracts under costly intermediation and aggregate volatility

This paper examines how volatility affects investment and the form of deposit contracts in a three-period model where capital formation is financed by bank credit and lenders face state verification and enforcement costs. Firms face both idiosyncratic and aggregate shocks, and agents are initially risk neutral. We show that intermediation costs magnify the incidence of macroeconomic volatility on banks' expected losses and have an adverse effect on investment. With risk-averse consumers, the impact of banks' expected losses on investment is mitigated because the equilibrium deposit contract provides partial insurance against adverse macroeconomic shocks.     

Financial Development, Financing Choice and Economic Growth

In an overlapping generations economy, households (lenders) fund risky investment projects of firms (borrowers) by drawing up loan contracts on the basis of asymmetric information. An optimal contract entails either the issue of only debt or the issue of both debt and equity according to whether a household faces a single or double enforcement problem as a result of its own decision about whether or not to undertake costly information acquisition. The equilibrium choice of contract depends on the state of the economy which, in turn, depends on the contracting regime. Based on this analysis, the paper provides a theory of the joint determination of real and financial development, with the ability to explain both the endogenous emergence of stock markets and the complementarity between debt finance and equity finance.     

A dynamic model of unsecured credit

We study the terms of credit in a competitive market in which sellers (lenders) are willing to repeatedly finance the purchases of buyers (borrowers) by engaging in a credit relationship. The key frictions are: (i) the lender cannot observe the borrower?s ability to repay a loan; (ii) the borrower cannot commit to any long-term contract; (iii) it is costly for the lender to contact a borrower and to walk away from a contract; and (iv) transactions within each credit relationship are not publicly observable. The lender?s optimal contract has two key properties: delayed settlement and debt forgiveness. Finally, we study the impact of changes in the initial cost of lending on the contract terms.     

Endogenous growth and the emergence of equity finance

This paper characterises the development of equity markets as a dynamic process that both influences and is influenced by the development of the real sector of the economy. In overlapping generations, economy borrowers seek funds to run risky investment projects by drawing up contracts which may take the form of either equity or debt issue. In the presence of information asymmetry between borrowers and lenders, the optimal contract is determined by trading off information dilution costs against bankruptcy costs. Significantly, the equilibrium choice of contract depends on the state of the economy which, in turn, depends on the contracting regime. Based on this analysis, the paper provides a theory of the joint determination of real and financial development with the ability to explain the emergence of a stock market along the path of real development.     

Factor income taxation and growth under asymmetric information

This paper studies the growth effects of factor income taxation on capital and labor in an endogenous growth model with overlapping generations. Capital accumulation in our model takes place through credit-financed investments in a market with asymmetric information between lenders and borrowers. We show that, in the presence of asymmetric information, capital income taxation worsens the adverse selection problem in the credit market, which in turn introduces an additional adverse effect on growth. In so doing, our analysis provides a new argument in favor of a lower (higher) capital (labor) income taxation in funding public expenditures.     

A costly state verification model with diversity of opinions

Summary. In simple models of borrowing and lending with ex-post asymmetric information, Gale and Hellwig (1985) and Williamson (1986) have shown that optimal debt contracts are simple debt contracts where borrowers repay a fixed interest rate whenever possible and lenders seize all the profit when borrowers default. In this note, we depart from their works by assuming that borrowers and lenders have heterogeneous beliefs, and show that simple debt contracts do not necessarily survive as optimal contracts.JEL Classification Numbers: G3, D8.     

The equilibrium allocation of investment capital in the presence of adverse selection and costly state verification

Summary We consider credit rationing in an environment with adverse selection and costly state verification. The presence of costly state verification permits debt contracts to emerge under conditions that we specify. When debt contracts are observed, so is credit rationing. This rationing occurs even if it is possible for rationed borrowers to bid up expected returns to lenders and hence is voluntary. We also show how the adverse selection and costly state verification problems interact and investigate how improvements in information gathering technology impact on the extent of credit rationing.The views expressed herein are those of the authors and not necessarily those of the Federal Reserve Bank of Minneapolis or the Federal Reserve System. We have benefitted from comments on an earlier draft of this paper by Franklin Allen, Charlie Calomiris, V. V. Chari, Ed Green, Craig Holden, Jeff Lacker, George Pennachi, Neil Wallace, Anne Villamil, and an anonymous referee and from discussions with Edward Prescott.     

Long-run Growth and Intragenerational Transfer Under Capital Market Imperfections

The purpose of this paper is to provide a long-run growth model linking growth to income distribution between lenders and borrowers in an environment where enforcement of loan contracts is imperfect. The equilibrium under costly verification implies a smaller growth rate, relative to the symmetric-information economy. Intra-generational transfer of income is shown to promote growth so long as the redistribution gives rise to an increase in net worth positions of borrowers.
JEL Classification Numbers: G21, O16, O40     

Public capital, asymmetric information, and economic growth

Abstract.  We investigate the provision of public capital in an endogenous growth model with asymmetric information. In a credit market with costly screening, we show that the equilibrium contracts are characterized by the self‐selection of borrowers. Through identifying an additional adverse effect of taxation on growth, we show that the optimal tax rate in our model is smaller than the output elasticity of public capital. Therefore, our analysis justifies a more conservative tax policy in the presence of asymmetric information. Furthermore, our model suggests a number of implications that appear to be well supported by preliminary evidence in cross‐country data. JEL classification: D82, H21, O41     

Optimal debt contracts and moral hazard along the business cycle

Summary. We analyze the Pareto optimal contracts between lenders and borrowers in a model with asymmetric information. The model generalizes the Rothschild-Stiglitz pure adverse selection problem by including moral hazard. Entrepreneurs with unequal abilities borrow to finance alternative investment projects which differ in degree of risk and productivity. We determine the endogenous distribution of projects as functions of the amount of loanable funds, when lenders have no information about borrowers ability and technological choices. Then, we embed these results in a dynamic competitive economy and show that the average quality of the selected projects in equilibrium may be high in recessions and low in booms. This phenomenon may generate (a) multiple steady states, (b) a smaller impact of exogenous shocks on output relative to the full information case, (c) endogenous fluctuations.Received: 11 June 2001, Revised: 17 June 2003, JEL Classification Numbers: A10, G14, G20, E32.Correspondence to: Pietro ReichlinPietro Reichlin acknowledges financial support from MURST and Paolo Siconolfi acknowledges financial support from the GSB of Columbia University.     

The Role of Bargaining Initiative Under no Commitment to Audit

This paper addresses the issue of the optimal contract design under costly state verification and no commitment to auditing when the contract offer comes from the uninformed party. Contrary to similar frameworks and to cases where the informed party retains the bargaining power, we find that the optimal contract is characterised neither by truth telling nor by mixed strategy equilibria. Depending on endogenous revenues and observation cost, a pooling equilibrium with either deterministic or random auditing occurs.     

Optimal multilateral contracts

Summary The purpose of this paper is to derive the structure of optimal multilateral contracts in a costly state verification model with multiple agents who may be risk averse and need not be identical. We consider two different verification technology specifications. When the verification technology is deterministic, we show that the optimal contract is a multilateral debt contract in the sense that the monitoring set is a lower interval. When the verification technology is stochastic, we show that transfers and monitoring probabilities are decreasing functions of wealth. The key economic problem in this environment is that optimal contracts areinterdependent. We are able to resolve this interdependency problem by using abstract measure theoretic tools.We wish to thank Mark Feldman, Wayne Shafer and Nicholas Yannelis for useful comments. We also gratefully acknowledge financial support from the National Science Foundation (SES 89-09242).     

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.     

Credit layering in informal financial markets

Informal lenders with access to markets or capital often find it attractive to delegate loan provision to downstream lenders who have an information or enforcement advantage in dealing with particular borrowers. In this paper we examine the conditions under which such an arrangement is preferred by two informal lenders, a landlord and a merchant, who compete in loan provision to tenant farmers differentiated by wealth. We show that credit layering is preferred only when tenants are sufficiently poor. In this case, the trader lends to tenant farmers via a contract with their landlord. Otherwise, only the trader lends. As a consequence, a pattern of borrowing emerges in which relatively wealthy tenants borrow from merchants while poor tenants borrow mainly from their landlords. Interlinkage between land and credit thus arises only for a subset of tenants and purely as a consequence of credit layering. This pattern is shown to be supported empirically.     

Effect of World Fertility Scenarios on International Living Standards

This paper applies a two good, multi-region Ramsey-Solow model of the world economy to determine the impact that alternative world fertility rates would have on international capital markets and living standards. Notable features of the model include: relative consumption demands and relative employment efficiencies that vary by age, traded and non-traded goods, vintage technology, outward-looking reference consumption, a proportion of non-optimising rule-of-thumb consumers and imperfect capital mobility due to asymmetric information. The model suggests that projected demographic change will imply a flow of international capital from the ageing regions to the younger regions; and that the world interest rate will fall. The lower world interest rate will cause a loss in living standards for ageing regions, the lenders, and a gain for the younger regions, who are borrowers.     

Competition and microfinance

Competition between microfinance institutions (MFIs) in developing countries has increased dramatically in the last decade. We model the behavior of non-profit lenders, and show that their non-standard, client-maximizing objectives cause them to cross-subsidize within their pool of borrowers. Thus when competition eliminates rents on profitable borrowers, it is likely to yield a new equilibrium in which poor borrowers are worse off. As competition exacerbates asymmetric information problems over borrower indebtedness, the most impatient borrowers begin to obtain multiple loans, creating a negative externality that leads to less favorable equilibrium loan contracts for all borrowers.     

Effect of World Fertility Scenarios on International Living Standards

This paper applies a two good, multi‐region Ramsey‐Solow model of the world economy to determine the impact that alternative world fertility rates would have on international capital markets and living standards. Notable features of the model include: relative consumption demands and relative employment efficiencies that vary by age, traded and non‐traded goods, vintage technology, outward‐looking reference consumption, a proportion of non‐optimising rule‐of‐thumb consumers and imperfect capital mobility due to asymmetric information. The model suggests that projected demographic change will imply a flow of international capital from the ageing regions to the younger regions; and that the world interest rate will fall. The lower world interest rate will cause a loss in living standards for ageing regions, the lenders, and a gain for the younger regions, who are borrowers.     

When is the optimal lending contract in microfinance state non-contingent?

Whether a microfinance institution should use a state-contingent repayment or not is very important since a state-contingent loan can provide insurance for borrowers. However, the classic Grameen bank used state non-contingent repayment, which is puzzling since it forces poor borrowers to make their payments even under hard circumstances. This paper provides an explanation to this puzzle. We consider two modes of lending, group and individual lending, and for each mode we characterize the optimal lending and supervisory contracts when a staff member (a supervisor) can embezzle borrowers’ repayments by misrepresenting realized returns. We identify the main trade-off between the insurance gain and the cost of controlling the supervisor's misbehavior. We also find that group lending dominates individual lending either by providing more insurance or by saving audit costs.     

Investment Decisions,Financial Flows,and Self‐Enforcing Contracts*

This article studies the role of risk sharing in dynamic credit relationships that are secured by physical collateral. It is shown that, when borrowers and lenders cannot commit not to terminate relationships (through default in the first case and liquidation in the second), overinvestment is optimal. Overinvestment facilitates risk sharing in this context: It occurs in expectation of periods in which lenders are unwilling to supply all the funds necessary to achieve complete risk sharing. Typically, overinvestment happens when investment decreases; it slows down the pace at which the capital stock is reduced and therefore results in production smoothing.     

Investment, credit, and endogenous cycles

This paper presents a general-equilibrium dynamic Ramsey-type model that can generate endogenous cycle. We assume two different representative agents, borrowers and lenders, and financial intermediaries with inside and outside money. We investigate under which conditions this model presents a cyclical relationship between capital and loans. The sources of endogenous fluctuations in this model come from a credit restriction in the representative-borrower problem.