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.     

Implementing Arrow-Debreu equilibria by trading infinitely-lived securities

Summary. We show that Arrow-Debreu equilibria with countably additive prices in infinite-time economy under uncertainty can be implemented by trading infinitely-lived securities in complete sequential markets under two different portfolio feasibility constraints: wealth constraint, and essentially bounded portfolios. Sequential equilibria with no price bubbles implement Arrow-Debreu equilibria, while those with price bubbles implement Arrow-Debreu equilibria with transfers. Transfers are equal to price bubbles on initial portfolio holdings. Price bubbles arise in sequential equilibrium under the wealth constraint if some securities are in zero supply or negative prices are permitted, but cannot arise with essentially bounded portfolios.Received: 19 November 2003, Revised: 24 February 2004, JEL Classification Numbers: D50, G12, E44.Correspondence to: Jan WernerWe acknowledge helpful discussions with Roko Aliprantis, Subir Chattopaydhyay, Steve LeRoy, Manuel Santos, and seminar participants at Brown University, University of Pennsylvania, NBER Workshop in General Equilibrium Theory, SITE 2000, the 2000 World Congress of the Econometric Society, and Federal Reserve Bank of Kansas City. The views expressed herein are those of the authors and do not necessarily reflect the views of Federal Reserve Bank of Kansas City or the Federal Reserve System.     

Equilibrium interest rate and liquidity premium with transaction costs

Summary. In this article we study the effects of transaction costs on asset prices. We assume an overlapping generations economy with two riskless assets. The first asset is liquid while the second asset carries proportional transaction costs. We show that agents buy the liquid asset for short-term investment and the illiquid asset for long-term investment. When transaction costs increase, the price of the liquid asset increases. The price of the illiquid asset decreases if the asset is in small supply, but may increase if the supply is large. These results have implications for the effects of transaction taxes and commission deregulation. Received: December 5, 1997; revised version: March 19, 1998     

Quantitative easing and asset bubbles

Expansionary monetary policy is necessary to respond to financial crises. However, if Central Bank asset purchase initiatives are too large or last too long, they can lead to explosive increases in asset prices which add to the risk of a future crisis. This article employs two models including the Campbell–Shiller and Generalized Supremum Augmented Dickey Fuller techniques to search for bubbles in the US equity, housing and bond markets over the past eight years. Although, we find that prices in equities and housing have risen following Federal Reserve intervention, there is little indication of asset price bubbles. There is evidence of explosive bond price increases from September of 2011 to February of 2013.     

Optimal tranching with diverse beliefs

In this paper, we consider the optimal selling strategy for an asset securitization originator (the issuer) when the potential buyers hold diverse beliefs. We find that the tranching process is beneficial to the issuer because it increases the total sale price. We also consider the optimal tranching strategy that maximizes the revenue of the issuer. This helps explain the widespread use of the tranching technique in the asset securitization practice. Our findings are also enlightening to understand the price bubble problem when the junior tranche is interpreted as a collateral.     

Quantitative easing and default probability of corporate social responsibility in US

The US Federal Reserve’s quantitative easing (QE) policies lowered the cost of servicing corporate debt and enhanced firms’ ability to borrow. This article seeks to improve the accuracy of default probability calculations as proposed by Merton (1974) under conditions of lower interest rates resulting from QE. By modifying the long-term debt ratio, we find distance to default is undervalued. Specifically, we find that the distance to default is more stably for firms with excellent corporate social responsibility (CSR) performance, but those with poor CSR performance are significantly undervalued. Our results show that improved CSR performance correctly estimates the firm’s default risk, even during QE when the Federal Reserve’s balance sheet expanded by nearly $4.5 trillion.     

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.     

Learning about the arrival of sales

We analyse optimal stopping when the economic environment changes because of learning. A primary application is optimal selling of an asset when demand is uncertain. The seller learns about the arrival rate of buyers. As time passes without a sale, the seller becomes more pessimistic about the arrival rate. When the arrival of buyers is not observed, the rate at which the seller revises her beliefs is affected by the price she sets. Learning leads to a higher posted price by the seller. When the seller does observe the arrival of buyers, she sets an even higher price.     

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.     

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     

Taxation, agency conflicts, and the choice between callable and convertible debt

We analyze debt choice in light of taxes and moral hazard. The model features an infinite sequence of nonzero-sum stochastic differential games between equity and debt. Closed-form expressions are derived for all contingent-claims. If equity can increase volatility without reducing asset drift, callable bonds with call premia are optimal. Although callable bonds induce risk shifting, call premia precommit equity to less frequent restructuring and are tax-advantaged. Convertible bonds mitigate risk shifting, but only induce hedging if assets are far from the default threshold. Convertibles are optimal only if risk shifting reduces asset drift sufficiently.     

Strategic delegation under quality competition

This paper examines strategic manipulations of incentive contracts in a model where firms compete in quality as well as in price. Compensation schemes for managers are based on a linear combination of profits and sales. For a given level of quality, a firm desires to reduce the manager's compensation when product sales increase; this serves as the firm's commitment to raise prices. Nevertheless, in general, a manager has a stronger incentive to produce goods of higher quality if he is compensated according to sales. Therefore, a compensation scheme that penalizes a manager when sales increase may result in products that are inferior to those of its rival. We show that, depending on the nature of quality, a positive weight on sales may be desirable when firms compete in quality and price. Welfare implications are also explored.     

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.     

Counterparty effects on capital structure decision in incomplete market

This paper builds a static contingent-claim model that allows for examining the optimal capital structure with the joint arguments of counterparty default risk and market incompleteness. A first-passage-time model with jump default barrier is adopted to capture the counterparty effects on the pricing of defaultable claims. Following the framework of Jarrow and Yu (2001), the jump in primary firm's bankruptcy barrier is designed as the loss on capital resulted from secondary firm's bankruptcy. The relevance of market incompleteness in the context of claim-pricing is considered using “good-deal asset price bound” method by Cochrane and Saa-Requejo (2000). We show that the effects of counterparty's default clearly diminish the uses of debt, which indirectly explains the so-called under-leveraged puzzle. We further find that counterparty effects on capital structure are sensitive to market incompleteness and firm's characteristics, such as tax rate and bankruptcy cost rate.     

The crisis,Fed, Quants and stochastic optimal control

The Dodd–Frank (D–F) Financial Reform Bill authorizes the Federal Reserve to monitor the financial services marketplace to identify potential threats to the stability of the US financial system. Alan Greenspan's retrospective indicates what he has learned from the crisis. He argues that the crisis, the housing price bubble, was unpredictable and unavoidable. Greenspan now focuses on desirable capital requirements, or leverage, for banks and financial intermediaries. I explain why the Fed's and Greenspan's views stem from a lack of the appropriate tools of analysis of what is an excessive debt or leverage. The Quants who devised the highly leveraged financial derivatives ignored systemic risk.My theme is that the application of stochastic optimal control (SOC) is an effective approach to implement what the D–F bill is authorizing. I explain: first, what is the optimal capital requirement/leverage that balances expected return against risk. Second, what is a theoretically derived early warning signal of a crisis. Third, I derive an excess debt ratio, equal to the difference between the actual and optimal ratios. The probability of a debt crisis is directly related to the excess debt ratio. The excess debt ratio starting from 2004–05 indicated that a crisis was most likely. The Fed should use this SOC analysis in implementing the Dodd–Frank bill.     

The Australian Economy in 2019–20: Slower Growth,Record Low Interest Rates and a Changing Housing Landscape

Economic activity in Australia slowed considerably in 2018–19, with domestic demand growth halving and unemployment rising. Consistent with the slowdown, both consumer and wage inflation have remained weak. A synchronised growth slow-down was observed across major economies, to some extent underpinned by the on-going US–China trade war. Central banks have responded to weak growth by cutting rates. The US Federal Reserve cut its target for the federal funds rate three times in 2019, as did Australia. To date, record low Australian interest rates have been associated with additional housing-related debt and asset price appreciation.     

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.     

融券约束和市场定价效率*——基于我国股票市场转融通的准自然实验证据

本文从融券约束的视角出发，研究我国股票市场融券机制对标的股票价格发现效率的影响。相比于融券交易量，融券约束可以更好地识别融券机制的作用。因为它可以从交易渠道、信息渠道、外部监管渠道对股价产生影响。笔者利用转融通的实施作为准自然实验，识别出了融券约束放松后标的股票价格发现效率的变化。实证结果显示融券约束放松后：（1）在市场下跌的情况下股价的共同趋势增强，意味着此时股价中包含的个股特质性信息含量降低，而市场上涨时则不存在这种效应；（2）股价对市场信息的反应速度增快；（3）股价更加接近随机游走，即股价的可预测性降低。本文的政策启示是，适当降低融券约束、扩大机构投资者比例、保持较高的融券交易准入门槛以及加强投资者教育可以促进融券机制发挥积极作用。     

Bank credit and debt,income, and causality: The Sims test on measures of credit

By employing the Sims test this study examines the exogeneity, or casual ordering, of bank credit and two measures of debt from the US Federal Reserve Flow of Funds Accounts. Evidence presented here suggests that Bank Credit and Funds Raised by Private Domestic Nonfinancial Sectors are not appropriate targets. The Sims test of causality clearly indicates undirectional causality running from Total Funds Raised by Private Domestic Nonfinancial Sectors to spending.     

Asymmetric Information and Adverse Selection in Mauritian Slave Auctions

Information asymmetry is a necessary prerequisite for testing adverse selection. This paper applies this sequence of tests to Mauritian slave auctions. The theory of dynamic auctions with private and common values suggests that when an informed participant is known to be active, uninformed bidders will be more aggressive and the selling price will be higher. We conjecture that observable family links between buyer and seller entailed superior information and find a strong price premium when a related buyer purchased a slave, indicative of information asymmetry. We then test for adverse selection using sale motivation. Our results indicate large discounts on voluntary as compared to involuntary sales. Consistent with adverse selection, the market anticipated that predominantly low-productivity slaves would be brought to the market in voluntary sales.