Competitive-search equilibrium in monetary economies

Competitive search was recently introduced in monetary economics by Rocheteau and Wright [Money in search equilibrium, in competitive equilibrium, and in competitive search equilibrium, Econometrica 73 (2005) 175-203]. We extend their work by eliminating the restriction that the fees market makers charge to enter a submarket must be either non-negative or identical for buyers and sellers. Without this restriction, buyers pay a positive fee to enter the submarket they visit and nothing else when they meet a seller. Sellers are remunerated by the market makers from the entry fees collected from the buyers. This trading arrangement allows buyers to perfectly predict their expenses, so the opportunity cost of holding idle money balances is eliminated.     

Viewpoint: A microfoundation of monetary economics

Abstract .  In this lecture, I explain what the microfoundations of money are about and why they are necessary for monetary economics. Then, I review recent developments of a particular microfoundation of money, commonly known as the search theory of money. Finally, I outline some unresolved issues.     

Real and nominal effects of monetary policy shocks

Abstract.  We employ the identification scheme of Kahn, Kandel and Sarig (2002) to analyse the impact of Canadian monetary policy on ex ante real interest rates and inflationary expectations. First, we decompose nominal interest rates into ex ante real rates and inflationary expectations using the methodology of Blanchard and Quah (1989) . Then we estimate a recursive VAR model with innovations in a monetary aggregate and the overnight target interest rate as alternative measures of monetary policy shocks. We find that a negative policy shock raises both nominal and ex ante real interest rates, lowers inflationary expectations and real industrial output, and appreciates the Canadian dollar.     

Financial systems and the cost channel transmission of monetary policy shocks

We study the role of financial systems for the cost channel transmission of monetary policy in a calibrated business cycle model. We characterize financial systems by the share of bank-dependent firms and by the degree of the pass-through from policy to bank lending rates, for which we provide empirical estimates for the euro area and the US. For plausible calibrations of the dynamics of the lending rate we find that the cost effects directly related to interest rate movements have only a limited effect on the transmission mechanism.     

Collateral secured loans in a monetary economy

This paper presents a microfounded model of money where durable assets serve as a guarantee to repay consumption loans. We study a steady state equilibrium where money and credit coexist. In such an equilibrium, a larger investment in durable capital relaxes the borrowing constraint faced by consumers. We show that the occurrence of over-investment and the behavior of capital accumulation depend on the rate of inflation, the relative risk aversion of agents and the marginal productivity of the capital goods.     

Wage restraint and monetary union

Existing work on wage bargaining predicts more aggressive wage setting under monetary union. This is exemplified by Cukierman and Lippi (2001) who postulate that wages are set having area-wide prices in mind. The insight of aggressive wage behaviour has not been confirmed by the EMU experience, which has been characterised by wage moderation. The present paper investigates the possibility of wage restraint using a monetary union model which, realistically, assumes that trade unions set wages with national prices in mind. Drawing on plausible ranges for all parameter values (and macroeconomic shocks), our simulations show that a monetary union elicits real wages that are broadly comparable to those obtained under monetary autonomy. The confidence bounds around these results are rather wide, in particular including scenarios of wage restraint.     

Bank loan portfolios and the Canadian monetary transmission mechanism

Abstract .  Following a monetary tightening, bank loans to consumers decrease. This is true for both mortgage and non-mortgage loans, and it is true for a tightening by the Bank of Canada that is, and is not, a response to a tightening by the Federal Reserve System. In contrast, business loans increase following a monetary tightening. The 'perverse' response of business loans cannot be explained by an increase in the demand for funds due to a reduction in real activity. These results are consistent with a change in bank portfolio behaviour in favour of business loans in response to a monetary tightening.     

Banking crises,labor reforms,and unemployment

Using a sample of 97 countries spanning the period 1980–2008, we estimate that banking crises have, on average, a large negative impact on unemployment. This effect, however, largely depends on the flexibility of labor market institutions: while in countries with more flexible labor markets the impact of banking crises is sharper but short-lived, in countries with more rigid labor markets the effect is initially more subdued but highly persistent. These effects are even larger for youth unemployment in the short term, and long-term unemployment in the medium term. Conversely, large upfront, or gradual but significant, comprehensive market reforms have a positive impact on unemployment, albeit only in the medium term.     

Government spending and growth in second-best economies

This paper extends public spending-based growth theory along three directions: we assume a logistic trajectory for the ratio of government expenditure to aggregate income, self-limiting population change, and exogenous technological progress. By focusing on the choices of a benevolent social planner we find that, if the inverse of the intertemporal elasticity of substitution in consumption is sufficiently high, the ratio of consumption to private physical capital converges towards zero when time goes to infinity. Depending on the form of the underlying aggregate production function and on whether, for given production function, technological progress equals zero or a positive constant, our model may or may not yield an asymptotically balanced growth path (ABGP) equilibrium. When there is no exogenous technological progress, an equilibrium where population size, the ratio of government spending to aggregate income and the ratio of consumption to private physical capital are all constant does exist and the equilibrium is a saddle point. In case of positive technological progress numerical simulations show that the model still exhibits an ABGP equilibrium.     

Existence of a monetary steady state in a matching model: indivisible money

Existence of a monetary steady state is established for a random matching model with divisible goods, indivisible money, an arbitrary bound on individual money holdings, and take-it-or-leave-it offers by consumers. The background environment is that in papers by Shi and by Trejos and Wright. The monetary steady state shown to exist has nice properties: the value function, defined on money holdings, is strictly increasing and strictly concave, and the measure over money holdings has full support.     

Optimal monetary policy: distribution efficiency versus production efficiency

This paper investigates the trade‐off between distribution effect and production effect of monetary policy when there exist unobservable idiosyncratic liquidity shocks. In the absence of risk‐sharing arrangements such as a credit market, monetary policy serves to provide ex post insurance to smooth consumption. Specifically, issuing interest‐bearing bonds restores credit transactions on money through bond‐money exchanges. Such a policy has a positive distribution effect, but the resulting inflation hampers production efficiency. It is demonstrated that the trade‐off between distribution efficiency gain and production efficiency loss would result in net welfare enhancement if consumers are relative‐risk‐averse enough.     

Existence of a monetary steady state in a matching model: divisible money

Existence of a monetary steady state is established in a random matching model with divisible goods, divisible money, an arbitrary bound on individual money holdings, and take-it-or-leave-it offers by consumers. The monetary steady state shown to exist has nice properties: the value function, defined on money holdings, is strictly increasing and strictly concave, and the distribution over money holdings has full support. The approach is to show that the “limit” of the nice steady states for indivisible money, existence of which was established in an earlier paper, as the unit of money goes to zero is a monetary steady state for divisible money. For indivisible money, the marginal utility of consumption at zero was assumed to be large; for divisible money it is assumed to be large and finite.     

A uniqueness proof for monetary steady state

The framework in Lagos and Wright (2005) [20] combining decentralized and centralized markets is used extensively in monetary economics. Much is known about that model, but there is a loose end: only under special assumptions about bargaining power or decentralized market preferences has it been shown that the monetary steady state is unique. For general decentralized market utility and bargaining, I prove uniqueness for generic parameters with fiat money, and for all parameters with commodity money. As a corollary, I get monotone comparative statics.     

Short-memory equilibrium in stochastic overlapping generations economies

In stochastic OLG exchange economies, we show that short-memory equilibria—the natural extension from deterministic economies of steady states, low-order cycles, or finite state-space stationary sunspots equilibria—fail to exist generically in utilities. As a result, even with independent and identically distributed exogenous shocks there is serial correlation in endogenous economic variables in equilibrium. This arises even if utilities are time-separable, some goods inferior, and there are no technological lags. Hence, the origins of economic fluctuations can be traced only to the demographic structure of a heterogeneous agent, multiple-good economy.     

Optimal monetary policy regime for oil producing developing economies: Implications for post-war Iraq

This paper theoretically investigates optimal monetary policy regime for oil producing developing countries. We analyze credibility and reputation of the Central Bank and macroeconomic dynamics under alternative monetary policy regimes. We construct a detailed and realistic model that can be used to analyze macroecomic structure and expectation dynamics of an oil producing open economy. We take into account the asymmetric information between the public and the central bank and theoretically investigate how this asymmetric information impacts the real economy and the credibility of the central bank. The simulation results indicate that central bank achieves higher credibility and lower inflation under dollarization and higher output levels under currency board regime. The model constructed in this paper has many policy implications for oil producing open economies. Using the implications of the model, we make monetary policy regime recommendations for post-war Iraq.     

Unique monetary equilibria with interest rate rules: An extension

In a recent paper, Adão et al. (2011), using a cash-in-advance framework, derive an interest rate rule that results in a unique monetary equilibrium. The resulting interest rate rule is forward looking and the interest rate responds positively to forecasts of future real activity and to forecasts of the future price level. This paper extends their approach to a transactions cost environment. The resulting interest rate rule has the added feature that, in line with previous studies, the nominal interest rate responds positively to forecasts of future inflation.     

Output and price level effects of monetary uncertainty in a matching model

Monetary uncertainty and information lags are put into a random matching model so that the resulting setting has some meetings in which producers are relatively informed and others in which consumers are relatively informed.For that setting, the ex ante socially optimal way to conduct trade is characterized. The optimum can display a variety of relationships between money and total output and the price level. While the price level is always sticky, even the direction of its response and that of total output depend on the magnitude of the lag and on subtle features of the serial correlation properties of the money supply.     

Capital market imperfections in a monetary growth model

Summary. We consider a monetary growth model essentially identical to that of Diamond (1965) and Tirole (1985), except that we explicitly model credit markets, a credit market friction, and an allocative function for financial intermediaries. These changes yield substantially different results than those obtained in more standard models. In particular, if any monetary steady state equilibria exist, there are generally two of them; one of these has a low capital stock and output level, and it is necessarily a saddle. The other steady state has a high capital stock and output level; either it is necessarily a sink, or its stability properties depend on the rate of money creation. It follows that monetary equilibria can be indeterminate, and nonconvergence phenomena can be observed. Increases in the rate of money creation reduce the capital stock in the high-capital-stock steady state. If the high-capital-stock steady state is not a sink for all rates of money growth, then increases in the rate of money growth can induce a Hopf bifurcation. Hence dynamical equilibria can display damped oscillation as a steady state equilibrium is approached, and limit cycles can be observed as well. In addition, in the latter case, high enough rates of inflation induce the kinds of “crises” noted by Bruno and Easterly (1995): when inflation is too high there are no equilibrium paths approaching the high-activity steady state. Received: November 18, 1995; revised version: March 26, 1996     

On the multiplicity of monetary equilibria: Green-Zhou meets Lagos-Wright

Green and Zhou relax the assumption, made in early search-based models of monetary exchange, of indivisible money. Their paper and various extensions make much technical progress, and derive some interesting substantive results. In particular, they show there is an indeterminacy of steady-state monetary equilibria. We reconsider this result in the framework of Lagos and Wright, which is more tractable. We show that a similar multiplicity arises, and is much easier to derive and understand. We also compare the results to those in related nonmonetary models, and discuss how they depend on details, including the number of agents and the timing.     

Existence of a Pareto-optimal equilibrium in nearly-stationary overlapping-generations economies

Summary In overlapping-generations models of fiat money, the existence of a Pareto-optimal equilibrium — which defines an optimal quantity of money — is more general than well-known counter-examples suggest. Those examples, having no optimal equilibrium just because there are small variations in households' tastes and endowments across generations, are not typical. On the contrary: For an open-dense, full-measure subset of smooth stationary economies and an open-dense subset of continuous stationary economies, introducing small variations in tastes and endowments across generations preserves the existence of an optimal equilibrium. Put simply, optimal equilibria generically exist for nearly-stationary economies.I thank Scott Freeman, Katsuhiko Kawai, and two referees for proofreading this text; all lead to clarifications.