Monetary policy and price level determinacy in a cash-in-advance economy

Summary The paper considers the determinacy of the equilibrium price level in the cash-in-advance monetary economy of Lucas and Stokey (1983, 1987), in the case of deterministic fundamentals. The possibilities both of a multiplicity of perfect foresight equilibria and of sunspot equilibria are considered. Two types of monetary policy regimes are considered and compared, one in which the money supply grows at a given exogenous rate (that may be positive or negative), and one in which the nominal interest rate on one-period government debt is pegged at a given non-negative level. In the case of constant money growth rate regimes, it is shown that one can easily have both indeterminacy of perfect foresight equilibrium and existence of sunspot equilibria; indeed, in the case of negative rates of money growth (as called for by Friedman (1969)), both types of indeterminacy necessarily occur. On the other hand, sufficient conditions for uniqueness of equilibrium (and non-existence of equilibria other than a deterministic steady state) are also given, and a class of cases is identified in which a sufficiently high rate of money growth guarantees this. Thus there may be a conflict between the aims of choosing a rate of money growth that results in a high level of welfare in the steady state equilibrium and choosing a rate that makes this steady state the unique equilibrium.) In the case of the interest rate pegging regimes, sufficient conditions are given for uniqueness of equilibrium (and impossibility of sunspot equilibria), and it is shown that these necessarily hold in the case of any low enough nominal interest rate. Thus the nominal interest rate peg allows simultaneous achievement of price level determinacy and a high level of welfare in the unique (steady state) equilibrium.In this paper I consider the consequences of alternative choices of the monetary policy regime for the determinacy of the rational expectations equilibrium value of money, and in particular for the existence or not of sunspot equilibria, i.e., rational expectations equilibria in which fluctuations in the price level occur in response to random events that represent no change in economic fundamentals, simply due to self-fulfilling revisions of people's expectations. I am interested in particular in making the point that a consideration of the complete set of possible equilibria associated with a given policy regime may alter one's evaluation of the relative desirability of alternative policies, relative to the conclusion that one might reach if one considered only a single possible equilibrium associated with each policy regime (perhaps a unique equilibrium involving a minimum set of state variables). In view of this I give particular attention to policy regimes of types that have sometimes been advocated as ways of reducing the inefficiency associated with a rate of return differential between money and other financial assets, and show that policies that might otherwise be desirable (policies that make possible a more desirable equilibrium than would otherwise be possible) can have the unfortunate consequence of rendering equilibrium indeterminate and making possible equilibrium fluctuations in response to sunspot events.Two classes of policy regimes are considered in particular: on the one hand, alternative constant rates of growth or contraction of the money supply, financed through lump sum taxes or transfers, with zero net government assets at all times; and on the other, alternative constant nominal interest rate pegs, to be maintained through open market operations between money and interest-bearing debt, with an exogenously fixed level of net transfer payments. The first class of policies is considered because of Friedman's (1969) well-known proposal that a constant contraction of the money supply of this sort would be welfare improving. I find that while thestationary equilibrium associated with the Friedman regime achieves the maximum possible level of utility for the representative consumer, and while the level of utility associated with stationary equilibrium may be monotonically decreasing in the rate of money growth, lower rates of money growth (in particular, rates near that called for by Friedman) are associated with indeterminacy of equilibrium and the existence of sunspot equilibria, while these problems need not arise in the case of higher rates of money growth.The second class of policies is considered because they represent an obvious alternative approach to the elimination of the same rate of return differential with which Friedman is concerned. Achievement of permanently low nominal interest rates through a simple interest rate peg is not often advocated; one reason is that it is often asserted that such a policy must result in price level indeterminacy. In fact, I find that if the interest rate pegging regime is properly specified, it results in aunique rational expectations equilibrium, regardless of the level at which interest rates are to be pegged. Thus not only does the interest rate peg not result in price level indeterminacy but it allows nominal interest rates to be maintained permanently at a level lower than that which can be obtained through a policy regime of the first sort without creating price level indeterminacy. It would hence appear, at least in the case of the kind of economy modeled here, that interest rate pegging is a more reliable way of trying to reduce the inefficiency associated with consumers being forced to economize on liquidity.This paper represents a revision of Woodford (1988). I would like to thank Leonardo Auernheimer, Buz Brock, Willem Buiter, Peter Howitt, Teh-Ming Huo, David Laidler, David Levine, Bennett McCallum, and an anonymous referee for helpful comments, and the National Science Foundation for research support.     

Optimal input trade policy under economic uncertainties in a small open economy

This article theoretically analyses optimal input trade policy under economic uncertainties in a small open economy. The benchmark model explains both key business cycle moments and asset prices of a representative emerging economy, and the corresponding deterministic version of the model finds no gain by deviating from the free input trade policy. The main findings are as follows: (1) it is optimal for the government to subsidize imported intermediate inputs in the benchmark model and (2) the result is robust to various shocks, various key structural parameters and various preference specifications.     

Women's unemployment during transition Evidence from Czech and Slovak micro-data

We analyse women’s weekly probabilities of leaving unemployment in the Czech and Slovak Republics (CR and SR) in order to investigate three questions: 1) Why are unemployment rates much lower in the CR than the SR?; 2) Does the unemployment compensation scheme (UCS) substantially lengthen unemploy-mentspells?; and 3) Why are women’s unemployment rates higher than men’s? We find that differences in the behaviour of the individuals, employers and institutions in the SR and CR (as measured by differences in coefficients) play a larger role in determining the CR’s shorter female unemployment spells than do differences in measured demand and demographic variables. The UCS has only a moderate effect on duration and its impact is greater in the CR. The differences between men’s and women’s spells (in each republic) are explained more by differences in coefficients than by differences in observed characteristics. JEL classification: C41, H53, J23, J64, O15, P2.     

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.     

Examining the link between crime and unemployment: a time-series analysis for Canada

We use national and regional Canadian data to analyse the relationship between economic activity (as reflected by the unemployment rate) and crime rates. Given potential aggregation bias, we disaggregate the crime data and look at the relationship between six different types of crimes rates and unemployment rate; we also disaggregate the data by region. We employ an error correction model in our analysis to test for short-run and long-run dynamics. We find no evidence of long-run relationship between crime and unemployment, when we look at both disaggregation by type of crime and disaggregation by region. Lack of evidence of a long-run relationship indicates we have no evidence of the motivation hypothesis. For selected types of property crimes, we find some evidence of a significant negative short-run relationship between crime and unemployment, lending support to the opportunity hypothesis. Inclusion of control variables in the panel analysis does not alter the findings, qualitatively or quantitatively.     

Environmental policy and long-term welfare in a tourism economy

A dynamic general equilibrium model of a small open economy specialized in producing tourism services is presented. The tourism package is a bundle of attributes provided by firms, the government and the natural environment. Investment in accommodation increases the number of visitors but also congests public goods and reduces environmental quality. The model is used to determine the conditions for the existence of a long-term double dividend. These conditions depend on both the initial level of environmental quality and the responsiveness of the tourism price to marginal changes in environmental and accommodation quality and congestion of public goods. Support from the Balearic Islands Government (PRIB-2004-10142) and helpful comments from anonymous referees are gratefully thanked.     

New trade theory versus old trade policy: a continuing enigma

This paper examines the theoretical and empirical grounds fortrade liberalisation. We note that many of the conventionalarguments relating to the static and dynamic gains from liberalisationare based on fragile theoretical grounds. We also show that,although new trade theory takes account of some of the complexitiesof international trade and although the analytical thrust ofmany models justifies intervention, such policy conclusionsare rejected even by those at the forefront of these theorieson the grounds of political economy arguments which do not standup to careful scrutiny. Finally, we show that arguments favouringtrade liberalisation are not supported by existing empiricalresearch, which generally fails to capture the complex and ambiguouseffects of liberalisation and openness.     

Political economy of China’s trade policy: the evidence from industrial protection in 1990s

The theory of the political economy of trade policy, combining public choice and neoclassical trade theories, studies the level and pattern of trade intervention from the perspective of policy decision-making process, by stressing on income distribution instead of economic efficiency. The paper attempts to apply such an endogenous trade theory to an empirical study of China. On the basis of a formal revised model of political economy of trade protection, it tests theoretical hypotheses concerning the political and economic determinants of cross-sector trade protection in the Chinese industry at various periods. The results show that trade protection in China fits into China’s national development strategy of fast catching-up with the developed world.     

Vicious and virtuous circles — The political economy of unemployment in interwar UK and USA

This paper develops a political economy model of multiple unemployment equilibria to provide a theory of an endogenous natural rate of unemployment for the UK and the US interwar period. The theory here sees the natural rate and the associated path of unemployment as a reaction to mainly demand shocks and the institutional structure of the economy. The channel through which these two forces feed on each other is a political economy process whereby voters with limited information on the natural rate react to shocks by demanding more or less social protection. The reduced form results confirm a pattern of unemployment behaviour in which unemployment moves between high and low equilibria in response to shocks.     

The impact of tax reforms on unemployment in a SMOPEC

This paper analyzes revenue-neutral tax reforms for a small open economy which is constrained to a balanced current account and whose producers have market power on the world market. We consider origin-based and destination-based commodity taxes as well as taxes on income, the payroll, and on an imported factor of production. Our main findings are the following. First, the strength, and for some parameter constellations, even the sign of the employment effect of tax reforms varies with the degree of openness of the economy. Second, the indeterminacy of the sign of the employment effect crucially hinges on the presence of an internationally mobile factor. The central mechanism underlying our results are adjustments of the real exchange rate which have repercussions on wage and price setting and therefore on employment.     

FDI in agricultural land, welfare and unemployment in a developing economy

The paper purports to examine the consequences of foreign direct investment (FDI) in agricultural land in a developing economy using a three-sector general equilibrium model with simultaneous existence of unemployment of both skilled and unskilled labour. The analysis finds that FDI in agriculture does not only improve national welfare unequivocally but also mitigates the unemployment problem of both types of labour. The paper theoretically justifies the desirability of flow of FDI in agriculture in the developing economies.     

Keynes, Lucas and involuntary unemployment: a reply to Hayes

In this response to Mark Hayes's criticism of his article, ‘Lucason involuntary unemployment’, the author insists on theneed to draw a distinction between labour rationing (a marketoutcome) and unemployment (the activity of job seeking). Economictheory is mainly concerned with the former. Yet the issue ofthe voluntarity versus the involuntarity of unemployment pertainsto unemployment as an activity. Failing to make this distinctioncannot but lead to semantic confusion.     

Environmental policy instruments and imperfectly competitive international trade

Policy makers, industrialists and environmentalists express concern that the imposition of tough environmental policies in some countries displaces production, and hence pollution, to countries which impose less tough environmental policies. Yet empirical studies of such impacts suggest they are small. However, these findings are derived from models in which international trade is modelled as being perfectly competitive. In this paper I model trade as imperfectly competitive with scope for strategic behavior by producers, in this case investment in capital. I show that the choice of environmental policy instrument can have a marked impact on the incentives for producers to act strategically, with environmental standards significantly reducing the incentives for strategic overinvestment relative to environmental taxes or no environmental policy at all. Whether welfare is higher using standards or taxes depends on whether producing countries are also significant consumers of the polluting product, and on whether all producing governments act to reduce emissions or only some subset of governments. To assess the quantitative significance of these theoretical results I conduct policy simulations on a calibrated model of the world fertilizer industry. These simulations show that the impact of environmental policy on strategic behaviour can be large.     

The optimal choice of monetary policy instruments in a small open economy

Abstract.  This paper studies how the nature of shocks affects the optimal choice of monetary policy instruments in a small open economy. Three classic rules, fixed exchange rates, monetary targeting, and inflation targeting are studied and ranked by comparing with the optimal monetary policy under commitment. We find that the ranking of the simple rules can be mapped to the terms-of-trade variability that the rule allows relative to what a particular shock optimally calls for. It turns out that inflation targeting dominates the other two rules under productivity or velocity shocks, whereas monetary targeting is the best performer under fiscal shocks.     

Even more on monetary policy in a small open economy

It is well known that in a small open economy with full capital mobility and a fixed exchange rate, monetary policy is ineffective in influencing real output (e.g. the works of Fleming [Int. Monetary Fund Staff Pap. 9 (1962) 369.] and Mundell [Can. J. Econ. Polit. Sci. 29 (1963) 475.]). However, Wu [Int. Rev. Econ. Finance 8 (1999) 223.] finds that when the credit channel is added to this model, monetary policy can have real effects under a fixed exchange rate system. This conclusion hinges on the assumption that open market operations have no effect on foreign exchange reserves of the central bank when evaluating how a change in monetary policy affects the loan market. This assumption is incorrect because under a fixed exchange rate regime, the quantity of foreign reserves becomes endogenous in the model. It is shown that when this assumption is relaxed, monetary policy is still ineffective in influencing output under a fixed exchange regime, even with an operative credit channel.     

Entry and fiscal policy effectiveness in a small open economy within a Monetary Union

In this article I develop an imperfectly competitive dynamic general equilibrium model for a small open economy integrated in a monetary union. Here, the type of entry in the non-traded goods’ sector affects fiscal policy effectiveness. Fiscal policy effectiveness is enlarged when aggregate demand stimuli increase intra-industrial competition (case I). This is due to the counter-cyclical mark-up mechanism generated by entry. Such a mechanism is absent in the usual monopolistic competition where entry only has a sharing effect (case II).

US monetary policy shocks and the Chinese economy: a GVAR approach

Using a global vector auto regressive (GVAR) methodology, this article examines the impact of US monetary policy shocks on China’s major macroeconomic indicators. Our analysis reveals that a positive shock to the US money supply growth rate initially increases China’s inflation rate but after some time this effect completely disappears. This shock also raises China’s short-term interest rate and the Chinese currency appreciates against the US dollar. A positive shock to the US short-term interest rate increases China’s short-term interest rate but the real output growth and inflation rates decline and the Chinese currency appreciates.     

Earnings inequality and unemployment in South Africa

Unemployment and earnings inequality have moved together remarkably closely in South Africa in recent years. This article explores the relationship between unemployment and earnings inequality in South Africa, investigating the extent to which changes in unemployment can account for changes in earnings inequality. Static and dynamic decompositions of earnings inequality by employment status reveal the centrality of unemployment in accounting for the both level and trend of earnings inequality. The distribution of employment in the formal and informal sectors is found to be of lesser importance in explaining earnings inequality, as is wage dispersion within each of these categories. The findings point to the central importance of reducing unemployment in South Africa if the extremely high levels of inequality are to be reduced.     

Government debt and optimal monetary and fiscal policy

How do different levels of government debt affect the optimal conduct of monetary and fiscal policies? And what do these optimal policies imply for the evolution of government debt over time? To provide an answer, this paper studies a standard monetary policy model with nominal rigidities and monopolistic competition and adds to it a fiscal authority that issues nominal non-state contingent debt, levies distortionary labor income taxes and determines the level of public goods provision. Higher government debt levels make it optimal to reduce public spending, so as to dampen the adverse incentive effects of distortionary taxes, but also strongly influence the optimal stabilization response following technology shocks. In particular, higher debt levels give rise to larger risks to the fiscal budget and to tax rates. This makes it optimal to reduce government debt over time. The optimal speed of debt reduction is missed when using first-order approximations to optimal policies, but is shown to be quantitatively significant in a second-order approximation, especially when technology movements are largely unpredictable in nature.