A monetary mechanism for sharing capital: Diamond and Dybvig meet Kiyotaki and Wright

Summary. A model is presented in which banks update public records, accept deposits of fiat money and intermediate capital. I show that inside money is more liquid than outside money, increasing the turnover rates of idle capital. The model offers a simple explanation for the dual role of financial institutions: Banks are monitored and can issue nominal assets upon request, which helps them to transfer capital in sufficiently high rates and to also become intermediaries. The model shares some features with those of Diamond and Dybvig [5], and Kiyotaki and Wright [7].Received: 18 February 2003, Revised: 16 February 2004, JEL Classification Numbers: E51, G21, G24.Ricardo de O. Cavalcanti: I thank two anonymous referees, Susumu Imai, B. Ravikumar and Neil Wallace, as well as participants at the Economic Theory symposium Recents Developments in Money and Finance, and seminar participants at the Richmond Fed, Queens University, and Sabanci University for comments on an early draft. The hospitality and financial support of the Cleveland Fed Central Bank Institute and CNPq are greatfully appreciated. The authors opinions are not necessarily those of the Federal Reserve Bank of Cleveland or the Federal Reserve System.     

Optimal contracts in a dynamic costly state verification model

Summary. This paper describes optimal contracts in a dynamic costly state verification model with stochastic monitoring. An agent operates a risky project on behalf of a principal who can observe the projects revenues at a cost. We show that an optimal contract exists such that, at any history, either the principal claims the projects entire revenues or promises to claim nothing in the future. In particular, the agents expected income rises with time. Moreover, except in at most one period, the principal claims all revenues when audit occurs. We provide conditions under which all optimal contracts satisfy these properties.Received: 4 February 2004, Revised: 4 June 2004, JEL Classification Numbers: D8, C7. Correspondence to: Cyril MonnetWe wish to thank Patrick Bolton, Vitor Gaspar, Mark Guzman, Martin Hellwig, Narayana Kocherlakota, Thorsten Koeppl, Albert Marcet, Benny Moldovanu, Ernst-Ludwig von Thadden and seminar participants at the University of Mannheim, the University of Minnesota, the Society for Economics Dynamics Meetings in New York and the Society for the Advancement in Economic Theory in Rhodos for helpful comments and discussions. The views expressed herein are those of the authors and may not reflect the views of the European Central Bank, the Eurosystem, the Federal Reserve Bank of Dallas or the Federal Reserve System.     

Distributional aspects of the divisibility of money: an example

Summary. I highlight the importance of the distributional aspects of moneys divisibility by comparing a search-theoretic model with random transfers of indivisible money balances, to one with deterministic transfers of partially divisible balances. Randomization allows price flexibility, as if money were fully divisible. Partial divisibility does not, but allows money redistributions. An example of the relevance of such extensive margin aspects of divisibility is provided.JEL Classification Numbers: D30, D83, E40.I thank Dean Corbae and seminars participants at the Federal Reserve Bank of Richmond, University of Texas at Austin, Purdue University, the Midwest Macroeconomics Meetings, the Central Bank Institute of the Federal Reserve Bank of Cleveland, and the meetings of the Society for the Advancement of Economic Theory, where this work has been presented during the years 2002 and 2003.     

Inflation,growth and exchange rate regimes in small open economies

Summary. This paper compares the merits of alternative exchange rate regimes in small open economies where financial intermediaries perform a real allocative function, there are multiple reserve requirements, and credit market frictions may or may not cause credit rationing. Under floating exchange rates, raising domestic inflation can increase production if credit is rationed. However, there exist inflation thresholds: increasing inflation beyond the threshold level will reduce domestic output. Endogenously arising volatility may be observed independently of the exchange rate regime. Private information - with high rates of domestic inflation - increases the scope for indeterminacy and economic fluctuations.Received: 26 March 2002, Revised: 29 October 2002JEL Classification Numbers: E32, E44, F33.P.L. Hernandez-Verme: I would like to thank Leonardo Auernheimer, Valerie Bencivenga, Dean Corbae, Scott Freeman, Todd Keister, Beatrix Paal, and Maxwell Stinchcombe for very helpful comments and suggestions. Very special thanks are due to Bruce D. Smith. The paper also benefited from the discussions in the seminars in CIDE, the Federal Reserve Bank of Atlanta, the Federal Reserve Bank of Kansas City, Indiana University, ITAM, Purdue University, the Second Annual Missouri Economics Conference, Texas A&M, the University of Missouri and the University of Texas at Austin.     

What if the Fed had been an inflation nutter?

A structural rational expectations model of US monetary policy is used to make a counterfactual experiment of a strongly inflation averse Federal Reserve Bank. Results for US interest rates, output, and inflation over 1965–1999 are discussed.     

Transaction costs and the use of cash and credit

Summary An overlapping generations model with spatial separation and transaction costs is developed that displays steady state equilibria in which both cash (fiat currency) and trade credit are used in exchange. Equilibria in which trade credit is used are not Pareto optimal. The question of the optimal quantity of money is addressed. Deflation is found to be optimal, contrary to the result for standard overlapping generations environments.This paper is based upon my dissertation, written for the University of Minnesota. I am grateful to Kathryn Combs, Michael Dotsey, Bruce Horning, Anne Villamil and seminar participants at numerous institutions for helpful comments. Most of all, I want to thank my advisor, Neil Wallace, for the attention he gave to my work. The views expressed in this paper are solely those of the author and do not necessarily reflect the views of the Federal Reserve Bank of Richmond or the Federal Reserve System.     

Why is there money? Endogenous derivation of `money' as the most liquid asset: a class of examples

Summary. The monetary character of trade, use of a common medium of exchange, is shown to be an outcome of an economic general equilibrium. Monetary structure can be derived from price theory in a modified Arrow-Debreu model. Two constructs are added: transaction costs and market segmentation in trading posts (with a separate budget constraint at each transaction). Commodity money arises endogenously as the most liquid (lowest transaction cost) asset. Government-issued fiat money has a positive equilibrium value from its acceptability for tax payments. Scale economies in transaction cost account for uniqueness of the (fiat or commodity) money in equilibrium. Received: February 15, 2002; revised version: August 12, 2002 RID="*" ID="*" This paper has benefited from seminars and colleagues' helpful remarks at the University of California - Santa Barbara, University of California - San Diego, NSF-NBER Conference on General Equilibrium Theory at Purdue University, Society for the Advancement of Behavioral Economics at San Diego State University, Econometric Society at the University of Wisconsin - Madison, SITE at Stanford University-2001, Federal Reserve Bank of Kansas City, Federal Reserve Bank of Minneapolis, Midwest Economic Theory Conference at the University of Illinois - Urbana Champaign, University of Iowa, Southern California Economic Theory Conference at UC - Santa Barbara, Midwest Macroeconomics Conference at University of Iowa, University of California - Berkeley, European Workshop on General Equilibrium Theory at University of Paris I, Society for Economic Dynamics at San Jose Costa Rica, World Congress of the Econometric Society at University of Washington, Cowles Foundation at Yale University. It is a pleasure to acknowledge comments of Henning Bohn, Harold Cole, James Hamilton, Mukul Majumdar, Harry Markowitz, Chris Phelan, Meenakshi Rajeev, Wendy Shaffer, Bruce Smith, and Max Stinchcombe.     

On the optimality of interest-bearing reserves in economies of overlapping generations

Summary Paying interest on required reserves is considered in an overlapping generations model in which the return to capital dominates the return to fiat money. As Smith (1991) showed, financing interest on reserves benefits the initial old at the expense of future generations. We show that the transfer of wealth associated with interest on reserves can be offset by an accommodating open market purchase, so that the payment of interest on reserves is a Pareto improvement. We also show that paying interest on reserves improves welfare even when financed by distorting taxes on capital.The authors thank Mike Cox, Greg Huffman, Evan Koenig, and Bruce Smith for helpful discussion. Any remaining errors are solely ours. This work originated while Freeman was a Research Associate at the Federal Reserve Bank of Dallas. The views expressed herein do not necessarily reflect those of the Federal Reserve Bank of Dallas or the Federal Reserve System.     

Domestic financial market frictions,unrestricted international capital flows,and crises in small open economies

Summary. We present an example of a small open economy where small increases in the world interest rate may induce a sharp decline in output and a precipitous depreciation of the exchange rate. Due to a costly state verification problem in domestic credit markets, combined with unrestricted international capital flows, our economy generates two long-run equilibria, one with low GDP and a relatively depreciated real exchange rate (RER), and one with high GDP and a relatively appreciated RER. The first is always a saddle, while the second may be a sink or a source, depending on the level of the world interest rate. A crisis is identified with the economy switching from an equilibrium path approaching the high-output steady state to the saddlepath approaching the low-output steady state. In Mexicos recent history, periods of growth associated with appreciation of the RER have alternated with periods of sharp contraction and depreciation of the RER. Our economy displays such behavior in response to changes in the world interest rate.Received: 9 April 2002, Revised: 20 March 2003JEL Classification Numbers: E5, F4.G. Antinolfi, E. Huybens: We thank Steve Fazzari, Tim Kehoe, Todd Keister, Manuel Santos, Karl Shell and especially Bruce Smith for very helpful discussions. Jaime Calleja Alderete, Eduardo Camero Godínez, and Juan Vargas Hernández provided excellent research assistance. All remaining errors are ours. Huybens was an assistant professor in the Centro de Investigación Económica, ITAM, at the time this article was written, and part of this work was completed while Antinolfi was a visiting scholar at the Federal Reserve Bank of St. Louis. The views expressed herein are those of the authors, and do not reflect those of the World Bank or the Federal Reserve Bank of St. Louis. Correspondence to: G. Antinolfi     

Costly switching and investment volatility

Summary. This paper extends the literature on the optimal switching rule between two investments by considering the case where switching between investments is costly. The model builds on the classic framework of the multi-armed Bandit problem by explicitly incorporating two key assumptions. First, switching investments is costly. Second, only the investment operated by the investor evolves as a random walk. The objective of the investor is to maximize the discounted sum of expected net profits over the infinite horizon. The main result is that when the volatility of profits from investments increases, so does the minimum profit gain needed for an investor to switch investments.JEL Classification Numbers: C44, C61.I am indebted to Prajit K. Dutta for his guidance throughout this research. I am grateful for Presidents Summer 2000 Research Fellowship of Columbia University. I appreciate the comments from the anonymous referee. I also thank Lalith Munasinghe and Rajiv Sethi. I also thank Dr. Jong Myeon Kim for editing this version of the paper.     

Decentralized credit and monetary exchange without public record keeping

Summary. We relax a standard assumption on the matching technology in a search model of money. In particular, agents may remain in a long-term partnership as long as it is in their self-interest. With this simple modification, it is possible to support self-enforcing, intertemporal trade which resembles credit without a public record keeping device. We examine conditions for co-existence of currency and credit and the welfare gains/losses associated with the introduction of money.Received: 20 April 2003, Revised: 10 July 2003JEL Classification Numbers: E0.An earlier version of this paper was entitled Money and Search with Enduring Relationships. We wish to thank Narayana Kocherlakota, Rachel Kranton, Jeff Lacker, Andrei Shevchenko, Shouyong Shi, Ted Temzelides, Chris Waller, and especially David Andofolatto, Gabriele Camera, Drew Saunders, and Randy Wright for helpful comments on that earlier draft, as well as seminar participants at the University of Pennsylvania, Purdue University, American Economic Association Meetings, Summer Econometric Society Meetings, and NBER Summer Workshop. Corbae wishes to thank the Research Department at the Federal Reserve Bank of St. Louis for research support.Correspondence to: D. Corbae     

The role of varying risk attitudes in an auction with a buyout option

Summary. An auction with a buyout option is modelled. Such an option allows a bidder to purchase the item being auctioned at a pre-specified buyout price, instead of attempting to obtain the item through the traditional auction procedure. This analysis is motivated by internet auctions where such options are present. If all auction participants are risk neutral, the seller will choose a buyout price high enough so that the option is never exercised. However, a risk averse seller facing risk neutral bidders will choose a price low enough so that the option is exercised with positive probability. Further, if bidders are risk neutral and the seller is risk averse, this option may result in a Pareto improvement compared to a sealed bid second price auction.Received: 3 December 2002, Revised: 28 September 2004, JEL Classification Numbers: D44, L86, D8. Correspondence to: Timothy MathewsWe would like to thank Yair Tauman, Thomas Jeitschko, Pradeep Dubey, Konstantinos Serfes, Abraham Neyman, Qihong Liu, and an anonymous referee, as well as participants of the 2001 Canadian Economic Association Conference and the 2001 Stony Brook International Conference on Game Theory. This paper is based upon Chapter Two of Mathews doctoral dissertation.     

Liquidity of secondary capital markets: Allocative efficiency and the maturity composition of the capital stock

Summary We investigate the function of liquid financial markets for the allocation of productive capital. We consider an economy where agents endogenously choose among capital production technologies with differing gestation periods. Long-gestation capital investments must be rolled-over in secondary capital markets. The use of such investment technologies therefore requires the support of liquid financial markets. We investigate how changes in the liquidity of these markets (i.e., in the costs of transacting) affect (a) the choice of capital production technology, (b) per capita income and the per capita capital stock, (c) the level of financial market activity, (d) the real return on savings and (e) welfare in a steady state equilibrium. Improvements in financial market liquidity raise rates of return on savings, and favor the increased use of long gestation capital investments. However, such improvements may or may not lead to higher levels of real activity or steady state welfare. We describe conditions under which various outcomes occur.We have benefited from the comments of seminar participants at the Board of Governors of the Federal Reserve System, the Federal Reserve Bank of Minneapolis, the International Monetary Fund, Berkeley, Boston College, Boston University, Brown, Chicago, Illinois, Miami, UC San Diego, Simon Fraser, University of British Columbia, University of Washington, Yale, the Canadian Macro Study Group Meetings, the Murrary S. Johnson Conference (University of Texas/Federal Reserve Bank of Dallas), and the Far West Rotating Economic Theory Conference. We would also like to thank John Bryant, Andreas Hornstein, Dan Peled, Bill Schworm, Karl Shell, Bart Taub and an anonymous referee for their comments on an earlier draft of the paper.     

Comparing risk aversion in a probability triangle

An agent's acceptance set consists of the probability distributions preferred to the status quo. One agent is more risk averse than another if the more risk averse agent's acceptance set is a proper subset of the less risk averse agent's acceptance set. An agent's odds premium expresses the odds in favor of winning the largest cash prize in a lottery over the best and worst alternatives that is indifferent to the the agent's initial wealth. Comparisons of two agents odds premia completely characterizes the risk aversion relations between them when facing lotteries in a probability triangle. The result applies to expected utility and some non-expected utility theories. Received: December 30, 1998; revised version: February 10, 1999     

Contract enforcement and the size of the informal economy

This paper describes a model where the size of the informal sector decreases as the degree to which financing contracts can be enforced in the formal sector rises. Agents who choose to operate in the informal sector can evade taxes, but they have no access to official means of contract enforcement. Numerical simulations of the model suggest that lax tax enforcement alone does not suffice to generate a large informal sector. Contractual imperfections, on the other hand, can generate a large informal sector and account for several distinguishing features of the organization of production in developing economies. I would like to thank Tim Kehoe, Ed Prescott and Manuel Santos for their guidance, and seminar participants at ITAM, the Universidad Torcuato di Tella and the University of Montréal for their valuable comments. The views expressed herein are those of the authors and may not reflect the views of the Federal Reserve Bank of Dallas or the Federal Reserve System.     

IS THERE A (DOWNWARD SLOPING) DEMAND CURVE FOR VOLUNTEER LABOUR?

ABSTRACT * * I would like to thank the Indiana University Center on Philanthropy and the Irwin Foundation for financial support for my dissertation, which led to many of the ideas contained in this paper, as well as my dissertation advisors at Boston College. I would also like to thank my colleagues at John Carroll University and at the Mandel Center for Nonprofit Organizations at Case Western Reserve University, for their advice and comments on previous versions of this paper. All errors, however, remain my own responsibility.
: Are organizations that use volunteers content to accept all of the volunteer labour offered to them, or do they make some sort of demand-side decision as to how much volunteer labour to use? This paper looks for evidence of such a demand curve for volunteer labour in data collected by the Urban Institute in the early 1980s. Evidence is found that organizations are consistent over time in their use of volunteer labour.     

The Economics of Clear Advice and Extreme Options

I study a principal–agent model in which the agent collects information and then chooses a verifiable action. I show that the principal can find it desirable to constrain the agent's action set even though there is no disagreement about the ranking of actions ex post . The elimination or penalization of „intermediate” actions, which are optimal when information is poor, improves incentives for information collection. I characterize optimal action sets when the agent is infinitely risk averse with respect to income shocks and optimal incentive schemes when the agent is risk neutral.     

Risk aversion and incentive compatibility with ex post information asymmetry

Summary. The paper extends Diamond's (1984) analysis of financial contracting with information asymmetry ex post and endogenous “bankruptcy penalties” to allow for risk aversion of the borrower. The optimality of debt contracts, which Diamond obtained for the case of risk neutrality, is shown to be nonrobust to the introduction of risk aversion. This contrasts with the costly state verification literature, in which debt contracts are optimal for risk averse as well as risk neutral borrowers. Received: December 7, 1998; revised version: June 9, 1999     

Long-term union-firm contracts

We explore the possibility for self-enforcing long-term contracts between a risk averse union and a risk neutral firm, when these have the option to strike an efficient bargian at every stage, and the state of the world is variable. It is shown that any long-term efficient wage agreement satisfying individual rationality constraints involves a more even income stream to the workers (except for the case when the discount rate is high) and can be implemented by a Subgame-perfect equilibrium (by the threat of returning to short-term bargaining). Moreover, any such constrained efficient agreement can be supported by the threat of triggering agreements which themselves are constrained efficient, i.e., it can be implemented by a Renegotiation-proof equilibrium.This paper is a revised version of Strand (1988) and is part of the research project Wage Formation and Unemployment at the SAF Center for Applied Research at the Department of Economics, University of Oslo. We would like to thank seminar participants at Cambridge University for pointing out an error of an earlier version. Thanks also to Terje Lensberg, Kjell Erik Lommerud, Lars Thorlund-Petersen, and two referees, as well as seminar participants at the 1989 EEA Conference in Augsburg and at the Universities of British Columbia, Haifa, and Maryland for helpful comments.     

A simple search model of money with heterogeneous agents and partial acceptability

Summary. Simple search models have equilibria where some agents accept money and others do not. We argue such equilibria should not be taken seriously. This is unfortunate if one wants a model with partial acceptability. We introduce heterogeneous agents and show partial acceptability arises naturally and robustly. There can be multiple equilibria with different degrees of acceptability. Given the type of heterogeneity we allow, the model is simple: equilibria reduce to fixed points in [0,1]. We show that with other forms of heterogeneity equilibria are fixed points in set space, and there is no method to reduce this to a problem in R¹.Received: 4 September 2002, Revised: 23 September 2002JEL Classification Numbers: C78, E40.A. Shevchenko, R. Wright: We thank seminar participants at the Federal Reserve Bank of Cleveland, Indiana University, Purdue University, University of Toronto, the 2002 Midwest Macroeconomics Conference at Vanderbilt University, and the 2001 Conference on Economic Dynamics at the University of Essex. The National Science Foundation and the Federal Reserve Bank of Cleveland provided financial support. Braz Ministerio de Camargo and Gabriel Camera provided some helpful suggestions. Correspondence to: R. Wright