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.     

Intangible capital,corporate valuation and asset pricing

Recent studies have found unmeasured intangible capital to be large and important. In this paper we observe that by nature intangible capital is also very different from physical capital. We find it plausible to argue that the accumulation process for intangible capital differs significantly from the process by which physical capital accumulates. We study the implications of this hypothesis for rational firm valuation and asset pricing using a two-sector general equilibrium model. Our main finding is that the properties of firm valuation and stock prices are very dependent on the assumed accumulation process for intangible capital. If one entertains the possibility that intangible investments translates into capital stochastically, we find that plausible levels of macroeconomic volatility are compatible with highly variable corporate valuations, P/E ratios and stock returns. We thank Ellen McGrattan, Edward Prescott, Rene Stulz and an anonymous referee for their helpful comments as well as workshop participants at FAME, the 5th Conference of the Swiss Society for Financial Market Research, the European Central Bank, Columbia Business School Finance Free Lunch and the University of Zürich. This research has benefited from financial support from the National Center for Competence in Research “Financial Valuation and Risk Management”. The National Centers of Competence in Research are managed by the Swiss National Science Foundation on behalf of the Federal Authorities.     

More on money as a medium of exchange

Summary We extend the analysis of Kiyotaki and Wright, who study economies where the commodities that serve as media of exchange (or, commodity money) are determined endogenously. Kiyotaki and Wright consider only steady-state, pure-strategy equilibria; here we allow dynamic and mixed-strategy equilibria. We demonstrate that symmetric, steady-state equilibria in mixed-strategies always exist, while sometimes no such equilibria exist in pure-strategies. We prove that the number of symmetric steady-state equilibria is generically finite. We also show, however, that for some parameter values there exists a continuum of dynamic equilibria. Further, some equilibria display cycles.We thank the National Science Foundation and the University of Pennsylvania Research Foundation for financial support, as well as seminar participants at Stanford University, the London School of Economics, the Econometric Society World Congress in Barcelona, and the Conference on Monetary Theory and Financial Institutions at the Federal Reserve Bank of Minneapolis for their comments or suggestions. Alberto Trejos provided research assistance. The views expressed here are those of the authors and not necessarily those of the Federal Reserve Bank of Minneapolis or the Federal Reserve System.     

Public capital stock and state productivity growth: Further evidence from an error components model

The contribution of different types of public infrastructure on private production is investigated using time-series of cross-section data for the 48 contiguous states over the period 1970–1986. A Cobb-Douglas production function is estimated with unobserved state-specific effects. Measurement errors in public capital stock and its components are detected and rectified.We would like to thank Baldev Raj and an anonymous referee for helpful comments. Also, Timothy J. Gronberg and Kay McAllister who thoroughly read the earlier draft and offered many constructive suggestions. We are, however, solely responsible for any remaining errors. The data set used in this research was generously provided by Alicia H. Munnell and Leah Cook of the Federal Reserve Bank of Boston. Nat Pinnoi acknowledges the research support provided by the Texas Transportation Institute.     

Dynamic equilibria with unemployment due to undernourishment

Summary We provide characterization and stability results for the stationary equilibria of a competitive infinite-horizon model that incorporates the nutritional requirements of physical labor. We find that for many aggregate land stocks, there is a large continuum of stationary equilibrium unemployment rates. Since unemployment can be seen to stem from inequality in the initial distribution of land ownership, we suggest that certain land reforms can reduce unemployment.Many of our results were developed while Streufert visited the Indian Statistical Institute. Ray is grateful for financial support from the Warshow Endowment of Cornell University, and Streufert thanks the Institute for Research on Poverty and the Graduate School, both at the University of Wisconsin-Madison. We are also thankful for the useful comments of an editor, a referee, and seminar participants at Wisconsin, Yale, the Federal Reserve Bank of Minneapolis, and the Midwest Mathematical Economics Conference.     

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     

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     

A model of the federal funds market

Summary This paper develops a stochastic general equilibrium model of the federal funds market that incorporates non-Fisherian effects on interest rates stemming from both supply and demand shocks to reserves. Such a model may reconcile the widespread belief in a liquidity effect of money supply shocks with the difficulty many researchers have had in finding empirical support for such an effect. The model also cautions against interpreting the observed negative correlation between the federal funds rate and innovations to nonborrowed reserves as empirical confirmation of the ability of the Federal Reserve to lower short-term real interest rates.This paper should not be interpreted as reflecting the views of the Board of Governors of the Federal Reserve System or its staff. We gratefully acknowledge lengthy discussions and correspondence with V. V. Chari, Marty Eichenbaum, and especially Larry Christiano, that helped to clarify many issues. We were told many institutional details by Jim Clouse and Josh Feinman, and we received many helpful comments from David Altig, Michael Dotsey, and participants at the conference on Recent Research on the Liquidity Effect of Monetary Policy, 1993, Federal Research Bank of Cleveland, the conference on Recent Macroeconomic Research: Lessons for Policymaking, 1993, Federal Reserve Bank of Atlanta and the conference on Operating Procedures and the Conduct of Monetary Policy, 1992, Federal Reserve Bank of St. Louis.     

Procyclicality and the new Basel Accord - banks’ choice of loan rating system

Summary. The Basel Committee on Banking Supervision is proposing to introduce, in 2006, new risk-based requirements for internationally active (and other significant) banks. These will replace the relatively risk-invariant requirements in the current Accord. The new requirements for the largest bank will be based on bank ratings of the probability of default of the borrowers. There is evidence that the choice of loan ratings which are conditional on the point in the economic cycle could lead to sharp increases in capital requirements in recessions. This makes the question of which rating schemes banks will use very important. The paper uses a general equilibrium model of the financial system to explore whether banks would choose to use a countercyclical, procyclical or neutral rating scheme. The results indicate that banks would not choose a stable rating approach, which has important policy implications for the design of the Accord. It makes it important that banks are given incentives to adopt more stable rating schemes. This consideration has been reflected in the Committees latest proposals, in October 2002.Received: 25 October 2003, Revised: 27 April 2004, JEL Classification Numbers: D58, E44, G28. Correspondence to: Dimitrios P. TsomocosThe authors are grateful to Pamela Nickell for carrying out some of the calculations and Nicola Anderson, Charles Goodhart, Andy Haldane, Glenn Hoggarth, Nobu Kiyotaki, William Klein, Alistair Milne, William Perraudin, Hyun Shin, Paul Tucker, seminar participants at the Bank of England XI European Workshop on General Equilibrium Theory, Federal Reserve Bank of Boston, INSEAD, LSE, the University of Oxford and especially H.M. Polemarchakis for helpful comments and remarks. However, all remaining errors are ours. The views expressed here are those of the authors and do not necessarily reflect those of the Bank of England, and the Bank of Spain.     

Technology usage lags

We present evidence on the differences in the intensity with which ten major technologies are used in 185 countries across the world. We do so by calculating how many years ago these technologies were used in the U.S. with the same intensity as they are used in the countries in our sample. We denote these time lags as technology usage lags and compare them with lags in real GDP per capita. We find that (i) technology usage lags are large, often comparable to lags in real GDP per capita, (ii) usage lags are highly correlated with lags in per-capita income, and (iii) usage lags are highly correlated across technologies. The productivity differentials between the state-of-the-art technologies that we consider and the ones they replace, combined with the usage lags that we document, lead us to infer that differences in the intensity of usage of technologies might account for a large part of cross-country TFP differentials. The views expressed in this paper solely reflect those of the authors and not necessarily those of the National Bureau of Economic Research, Federal Reserve Bank of San Francisco, nor those of the Federal Reserve System as a whole. This research was completed when Emilie Rovito was an economist at the Federal Reserve Bank of New York. We appreciate the financial assistance of the NSF (Grants # SES-0517910 and SBE-738101) and the C.V. Starr Center for Applied Economics. We would like to thank Mark Bils, Hitesh Makhija, Andres Rodríguez-Clare, Romain Wacziarg, and Matt Wiswall for comments and suggestions.     

A model to analyse financial fragility

Summary. This paper sets out a tractable model which illuminates problems relating to individual bank behaviour, to possible contagious inter-relationships between banks, and to the appropriate design of prudential requirements and incentives to limit ‘excessive’ risk-taking. Our model is rich enough to include heterogeneous agents, endogenous default, and multiple commodity, and credit and deposit markets. Yet, it is simple enough to be effectively computable and can therefore be used as a practical framework to analyse financial fragility. Financial fragility in our model emerges naturally as an equilibrium phenomenon. Among other results, a non-trivial quantity theory of money is derived, liquidity and default premia co-determine interest rates, and both regulatory and monetary policies have non-neutral effects. The model also indicates how monetary policy may affect financial fragility, thus highlighting the trade-off between financial stability and economic efficiency.Received: 6 November 2003, Revised: 6 October 2004 JEL Classification Numbers: D52, E4, E5, G11, G21.C.A.E. Goodhart, P. Sunirand, D.P. Tsomocos: We are grateful to T.F. Bewley, S. Bhattacharya, F. Hahn, C. Mayer, H.S. Shin and seminar participants at the Bank of Austria, Bank of England, Bank of Norway, Bank for International Settlements, Brown University, the 7th Annual Macroeconomic Conference, Crete, EcoMod-IIOA International Conference, Brussels, the 2nd Oxford Finance Summer Symposium and Nuffield, Oxford, the Hong Kong Institute for Monetary Research, Purdue University, the University of Birmingham, the VI SAET Conference, Rhodes, Yale University, and especially an anonymous referee and H.M. Polemarchakis for helpful comments. The views expressed are those of the authors and do not necessarily reflect those of the Bank of England. Correspondence to: D.P. Tsomocos     

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.     

Liquidity and Liquidation

The manager of a firm that is selling an illiquid asset has discretion as to the sale price: if he chooses a high (low) selling price, early sale is unlikely (likely). If the manager has the option to default on the debt that is collateralized by the illiquid asset, the optimal selling price depends on whether the manager acts in the interests of owners or creditors. We model the former case. In equilibrium the owner will always offer the illiquid asset for sale at a strictly higher price than he paid, and will default if he fails to sell. As a result, upon successful sales the illiquid asset changes hands at successively higher prices. We also consider a generalization of the model which permits sellers to finance sales using either debt or preferred stock, or both. This allows derivation of an optimal capital structure. We are indebted to seminar participants at the University of California, Los Angeles; University of California, Santa Barbara; Utah State University; University of Miami; Federal Reserve Bank of Atlanta; Federal Reserve Bank of San Francisco and Federal Reserve Bank of Kansas City. We have received helpful comments from Tom Cooley.     

The interbank market during a crisis

The autumn of 1998 provides a setting in which to test the performance of the interbank market during a potential financial crisis. This period witnessed Russia's effective default on its sovereign bonds and the near collapse of the hedge fund Long-Term Capital Management. Despite these negative shocks to bank capital and increased uncertainty in financial markets, the federal funds market still effectively channeled liquidity to those institutions in need at rates consistent with Federal Reserve intentions. Further, risk premiums on overnight lending were largely unaffected and lending volumes increased, suggesting that the federal funds market performed well during this period.     

On characterizing equilibria of economies with externalities and taxes as solutions to optimization problems

Summary We characterize equilibria of general equilibrium models with externalities and taxes as solutions to optimization problems. This characterization is similar to Negishi's characterization of equilibria of economies without externalities or taxes as solutions to social planning problems. It is often useful for computing equilibria or deriving their properties. Frequently, however, finding the optimization problem that a particular equilibrium solves is difficult. This is especially true in economies with multiple equilibria. In a dynamic economy with externalities or taxes there may be a robust continuum of equilibria even if there is a representative consumer. This indeterminacy of equilibria is closely related to that in overlapping generations economies.An earlier version of this paper, entitled Externalities and Taxes in General Equilibrium, was presented at the North American meetings of the Econometric Society, June 1988, at the University of Minnesota. We are grateful to David Backus, Kenneth Judd, Patrick Kehoe, and Rodolfo Manuelli for helpful conversations. National Science Foundation grants SES 86-18325 and SES 87-08616 provided financial support.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.     

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.     

Limited participation,private money,and credit in a spatial model of money

Summary. The purpose of this paper is to explore the implications of private money issue for the effects of monetary policy, for optimal policy, and for the role of fiat money. A locational model is constructed which gives an explicit account of the role for money and credit, and for limited financial market participation. When private money issue is prohibited, there is a liquidity effect as the result of a money injection from the central bank, but this effect goes away when private money is permitted. Private money issue changes dramatically the nature of optimal monetary policy. With private money, fiat currency is no longer used in transactions involving goods, but currency and central bank reserves play an important part in the clearing and settlement of private money returned for redemption.Received: 5 May 2003, Revised: 1 December 2003JEL Classification Numbers: E4, E5.The author thanks seminar participants at the Federal Reserve Bank of Richmond and Duke University, conference participants at the Texas Monetary Conference at U.T. Austin, February 2002, and the Conference on Recent Developments in Money and Finance at Purdue University, May 2003, as well as Gabriele Camera, Ed Nosal, Will Roberds, and two anonymous referees for their helpful comments and suggestions.     

Use of borrowed start-up capital and micro enterprises in Mexico: existence of liquidity constraints

Using the National Survey of Micro enterprises (ENAMIN, Encuesta Nacional de Micronegocios) data I test for the presence of liquidity constraints for obtaining start-up capital in Mexico’s credit markets (formal and informal). I use the bivariate probit model with partial observability to recognize two important decisions in the credit allocation process: first, whether an owner of a micro enterprise wants to apply start-up loan and, second, whether financial institutions decide to provide or not to provide the loan. Finally, I compare the results from this model to those of a simple probit model that looks at whether a micro enterprise owner gets funding or not (i.e. the probit model implicitly assumes that no liquidity constraints exist). The findings of this study show that there is substantial heterogeneity in the socioeconomic background of borrowers, as well as in the sources for start-up capital employed by micro enterprises in Mexico. Moreover, there is clear evidence of liquidity constraints in the market for start-up capital that could hinder the creation and growth of small enterprises. Applying the findings of the study, policy makers could fundamentally increase the effectiveness in establishing an economic environment that fosters growth.

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.