Temporary bubbles

This article studies the dynamics of an overlapping generations model with capital, money and cash-in-advance constraints. The economy can exhibit two different regimes. In the first one, the cash-in-advance constraint is binding and money is a dominated asset. In the second one, the constraint is strictly satisfied and money has the same return as capital. When the second regime holds on a finite number of periods, we say that the economy experiences a temporary bubble. We prove that temporary bubbles can exist in an economy, which would experience under-accumulation without money. We also show that cyclical bubbles may occur.     

On imperfect competition with occasionally binding cash-in-advance constraints

We provide a theoretical demonstration of the link between imperfect competition and the cash-in-advance constraint, not previously considered in the literature. In a general equilibrium framework, we show that imperfect competition affects the proportion of times that the cash-in-advance constraint binds. As the market becomes more competitive it is certainly no less likely that the cash-in-advance constraint will bind. Therefore, economic welfare changes not only because of the direct effect of the change in the distribution of aggregate consumption but also because of the indirect effect of the cash-in-advance constraint. Other implications are also demonstrated.     

Money,gains to trade and impatience

In this note, following Dubey and Geanakoplos [Dubey, P., Geanakoplos, J.D., 2003. Inside–outside money, gains to trade and IS-LM., Economic Theory 21, 347–397], I precisely identify sufficient and necessary conditions for the existence of a stationary equilibrium in a cash-in-advance economy under a constant supply of balances. In particular, I separate the role of impatience from the role of gains to trade in sustaining such an equilibrium. My results are then compared with those of Grandmont and Younès [Grandmont, J.-M., Younès, Y., 1972. On the role of money and the existence of a monetary equilibrium. Review of Economy Studies 39, 355–372; Grandmont, J.-M., Younès, Y., 1973. On the efficiency of a monetary equilibrium. Review of Economic Studies 40, 149–165].     

Nominal uniqueness and money non-neutrality in the limit-price exchange process

We define continuous-time dynamics for exchange economies with fiat money. Traders have locally rational expectations, face a cash-in-advance constraint, and continuously adjust their short-run dominant strategy in a monetary strategic market game involving a double-auction with limit-price orders. Money has a positive value except on optimal rest-points where it becomes a ??veil?? and trade vanishes. Typically, there is a piecewise globally unique trade-and-price curve both in real and in nominal variables. Money is not neutral, either in the short-run or long-run and a localized version of the quantity theory of money holds in the short-run. An optimal money growth rate is derived, which enables monetary trade curves to converge towards Pareto optimal rest-points. Below this growth rate, the economy enters a (sub- optimal) liquidity trap where monetary policy is ineffective; above this threshold inflation rises. Finally, market liquidity, measured through the speed of real trades, can be linked to gains-to-trade, households?? expectations, and the quantity of circulating money.     

Urban unemployment and optimal trade policy in a cash-in-advance economy

This paper examines the welfare effects of commercial and tax/subsidy policies on a developing economy with sectoral unemployment and differential cash-in-advance constraints. The optimal tariff can be negative when the cash-in-advance requirement for buying the importable good is larger than that for the exportable good. In addition, when capital is sectorally mobile, production taxes are superior to production subsidies to the importable sector. Nevertheless, to reach the first-best optimum, a uniform wage subsidy to both sectors is required.     

Asset price boom-burst cycle as an elastic money response to technological shocks

Through a finite-lived dynamic stochastic general equilibrium (DSGE) model comprising bubbly capital with fixed supply, one-period gestation lag, and a cash-in-advance constraint, we show that a money-accommodated but not price-accommodated technological shock can trigger excessive movement in the asset price even in a flexible-price and frictionless environment.     

Seigniorage and public good in an OLG model with cash-in-advance constraints

This paper is a contribution to the theory of the optimal monetary policy in overlapping generations models with a cash-in-advance constraint applying on old age consumption purchases. We are particularly interested in the study of seigniorage when the latter is used to finance public goods valued by consumers. Assuming that a public good enters the utility function and the existence of cash-in-advance constraints, we find a Laffer curve of seigniorage at steady-state. We also analyze the dynamic optimal monetary policy when the government maximizes an intertemporal social welfare function and can only resort to seigniorage to finance the purchases of the public good. We show that the optimal rate of money growth may be strictly higher than the one which maximizes steady-state seigniorage: the optimal amount of seigniorage may lie on the decreasing part of the Laffer curve of seigniorage. We finally suppose that the government can use lump-sum taxes in addition to seigniorage. Then, the Friedman rule prevails and public expenditures are only financed through lump-sum taxes.     

Computable general equilibrium with financial markets

Summary. There are a wide variety of theoretical general equilibrium models with incomplete security markets. In this paper we give a general recipe for using homotopy algorithm to compute equilibria in these models. In many models, taxes, transaction-costs or other market frictions introduce the additional difficulty that equilibrium prices or choices (but not equilibrium allocations) may be undetermined. In order to demonstrate how these difficulties can be dealt with, we develop a globally convergent algorithm to compute equilibria in a model with cash-in-advance constraints, several goods and incomplete financial markets. Furthermore we describe how to implement the algorithm using a publicly available suite of subroutines for homotopy-pathfollowing. Received: October 1, 1999; revised version: December 16, 2000     

State prices,liquidity, and default

We show, in a monetary exchange economy, that asset prices in a complete markets general equilibrium are a function of the supply of liquidity by the Central Bank, through its effect on default and interest rates. Two agents trade goods and nominal assets to smooth consumption across periods and future states, in the presence of cash-in-advance financing costs that have effects on real allocations. We show that higher spot interest rates reduce trade and as a result increase state prices. Hence, states of nature with higher interest rates are also states of nature with higher risk-neutral probabilities. This result, which cannot be found in a Lucas-type representative agent model, implies that the yield curve is upward sloping in equilibrium, even when short-term interest rates are fairly stable and the variance of the (macroeconomic) stochastic discount factor is 0. The risk-premium in the term structure is, therefore, a monetary-cost risk premium.     

On the role of money in a business cycle model of a small open economy: The case of Spain

This paper examines the consequences of introducing a cash-in-advance constraint into a small open economy business cycle model for the Spanish case. A business cycle model is built extending Correia, Neves and Rebelo's (1995) small open economy framework and Cooley and Hansen's (1995) monetary economy. Money is introduced through a cash-in-advance constraint. The stochastic simulation of the model and its comparison to Spanish data show that the model is able to mimic i) the Dolado et al. puzzle, that is, the high volatility of private consumption for this economy; ii) the Dunlop-Tarshis observation, i.e., the negative correlation between real wages and hours worked; and iii) some cyclical features of the nominal dimension.     

On Income Velocity of Money,Precautionary Money Demand and Growth

A stochastic growth model with money introduced via a cash-in-advance constraint is used to analyze the behavior of the income velocity of real monetary balances and money demand. Agents can purchase consumption goods only using government issued money. The cash-in-advance constraint may become nonbinding because of the uncertainty about the realization of the state of the economy. We find that the precautionary money demand may introduce significant changes into the volatility of the income velocity if it happens almost always. Its presence can also alter the relationship between the average growth rate of money supply and the average growth rate of the economy.     

Information disclosure and exchange media

When commitment is lacking, intertemporal trade is facilitated with the use of exchange media—interpreted broadly to include monetary and collateral assets. We study the properties of a model commonly used to motivate monetary exchange, extended to include a physical asset whose expected short-run return is subject to a news shock, but whose expected long-run return is stable. The nondisclosure of news enhances the asset?s property as an exchange medium, and generally improves social welfare. When a nondisclosure policy is infeasible, the framework admits a role for government debt, including fiat money. When lump-sum taxation is not permitted, fiat money may still improve welfare—but only if its circulation is supported by a cash-in-advance constraint.     

On the disequilibrium dynamics of sequential monetary economies

The purpose of this paper is to study the dynamic behavior of a sequential monetary exchange economy. Transactions take place sequentially against non-equilibrium prices, there is quantity rationing, and credit or cash are the only means of exchange. Agents have optimistic or pessimistic expectations about quantity constraints that represent their beliefs about future trading opportunities.In the credit model the agents incur debts along the transition path towards equilibrium, while in the cash-in-advance model convergence takes place without the occurrence of any debts or claims. The credit mechanism is shown to act as a ‘soft’ correction mechanism on credit fluctuations, while the cash-in-advance constraint acts as a ‘hard’ negative feedback effect driving the prices back towards a neighborhood of a monetary cash-in-advance equilibrium.     

Simonsen and the early history of the cash\in-advance approach

The paper brings to light an early contribution to the cash-in-advance literature made by the Brazilian economist Mario Henrique Simonsen (1935–1997) in an article written in Portuguese as far back as 1964. Simonsen explicitly introduced the cash-in-advance constraint as an inequality in a non-linear programming problem and provided a diagrammatic illustration of the interior and boundary solutions. He also applied the concept to the discussion of the quantity theory of money and showed that the classical dichotomy is valid for the stationary equilibrium of prices over time.     

RENOVATIO MONETAE: WHEN GESELL TAXES WORKED

Gesell taxes on money have recently received attention as a way of alleviating the zero lower bound on interest rates. Less known is that such taxes generated seigniorage in medieval Europe for around two centuries. When a Gesell tax was levied, current coins ceased to be legal and had to be exchanged into new coins for a fee. Using a cash-in-advance model, we analyze under what conditions agents exchange coins and the tax generates revenues. A low exchange fee, high punishments for using old coins, and a long time period between re-mintings induce people to use new coins.     

REAL EXCHANGE RATE CYCLES AROUND ELECTIONS

We develop the implications of devaluation cycles for real exchange rates in a two-sector small open economy with a cash-in-advance constraint. Policy-makers are office-motivated politicians. Voters have incomplete information on the competence and the opportunism of incumbents. Devaluation acts like a tax, and is politically costly because it can signal the government is incompetent. This provides incumbents an incentive to postpone devaluations, and can lead to an overvalued exchange rate before elections. We compare the implied cycle of appreciated/depreciated exchange rates with empirical evidence around elections from Latin America.     

Sustaining Collusion under Economic Integration*

In this paper, we aim at investigating from a game‐theory perspective whether trade liberalization can promote a collusive two‐way trade. We show that, under Cournot competition, economic integration is anti‐competitive if collusive trade is a possible outcome of the repeated game; under price competition, the likelihood of collusive trade is a necessary but not sufficient condition for trade liberalization to be pro‐competitive. Furthermore, we show that economic integration may increase the scope for collusion irrespective of the firms’ strategic variable.     

On Shapley–Shubik equilibria with financial markets

In this paper, we extend the Shapley–Shubik model to a two period financial economy, and essentially address the question of the existence of an equilibrium. More precisely, we show the existence of nice equilibria, i.e. situations in which prices for both assets and commodities are strictly positive. Even if the general lines of the proof are largely influenced by the paper of Dubey and Shubik (J Econ Theory 17:1–20, 1978), most of the arguments are new because of the financial nature of the economy. It forces us to deal with a generalized Nash equilibrium, and to proscribe the use of arguments which only work with a single cash-in-advance constraint.      

Money and growth in a cash-in-advance economy with costly credit

This paper develops a stochastic growth model with a cash-in-advance constraint, costly credit, and intermediary services. We study how the behavior of financial intermediaries affects the relationship between economic growth and the monetary system. We show that the payment that intermediaries charge for providing financial services influences the money–growth relationship. When the intermediation cost increases proportionally with credit purchases, we do not observe any influence of growth on the monetary system. When the intermediation cost is not proportional to credit purchases, growth is responsible for a transformation of the monetary system, i.e. money is relatively driven out of the economy as the economy grows.     

Money and Prices Under Uncertainty

We study whether monetary economies display nominal indeterminacy: equivalently, whether monetary policy determines the path of prices under uncertainty. In a simple, stochastic, cash-in-advance economy, we find that indeterminacy arises and is characterized by the initial price level and a probability measure associated with state-contingent nominal bonds: equivalently, monetary policy determines an average, but not the distribution of inflation across realizations of uncertainty. The result does not derive from the stability of the deterministic steady state and is not affected essentially by price stickiness. Nominal indeterminacy may affect real allocations in cases we identify. Our characterization applies to stochastic monetary models in general, and it permits a unified treatment of the determinants of paths of inflation.