Equilibrium determinacy and inflation measures for interest rate rules

Empirical evidence suggests that goods are highly heterogeneous with respect to the degree of price rigidity. We develop a two-sector dynamic general equilibrium model to study the equilibrium determinacy properties of interest rate rules that respond to inflation measures differing in their degree of price rigidity. We find that rules responding to a headline measure, which puts some weight on the inflation of the sector with low price stickiness, are more prone to generate endogenous aggregate instability—in the form of fluctuations driven by self-fulfilling expectations and equilibria where fluctuations are unbounded—than rules that respond exclusively to a core measure, which includes only the inflation of the sector with high price stickiness. We discuss how our results depend on the elasticity of substitution across goods, the timing of the policy rule, and reacting to aggregate activity.     

Monetary union: A welfare based approach

This article attempts to shed light on the consequences of the transition to EMU for individual welfare following specific shocks. To this end, we develop a two country intertemporal general equilibrium model that extends the Obstfeld and Rogoff (Journal of Political Economy 103 (3) (1995) 624) specification to nominal rigidities through price adjustment costs and pricing-to-market behavior.We show that, when facing a positive asymmetric permanent shock to either technology or government expenditures occurring in one country, implementing a monetary union is beneficial to the households living in this economy. Conversely, it is detrimental to foreigners. Further, a sensitivity analysis shows that if the gains/losses to implementing monetary union are qualitatively robust when facing changes in the degree of nominal rigidities and the elasticity of substitution between foreign and domestic goods, they are quite sensitive to the degree of pricing-to-market in the economy.     

Optimal Monetary Policy with Vertical Production and Trade*

This paper explores the optimal monetary policy response to domestic and foreign technology shocks in an open economy with vertical structure of production and trade. We find that any stage‐specific productivity shock in one country may have a transborder spillover effect on the other country via the vertical trade. So when choosing optimal monetary rules, each monetary authority should respond to both home and foreign productivity shocks. Also, the flexible exchange rate cannot replicate the flexible price equilibrium, even under producer currency pricing, due to price stickiness in multiple stages. We also find that the existence of a transborder spillover effect depends on the currencies of price setting. Finally, vertical trade may affect the value of exchange rate flexibility under PCP and LCP setting.     

Optimal monetary policy for a small open economy

This paper focuses on the design of monetary policy rules for a small open economy. The model features optimizing behavior, general equilibrium and price stickiness. The real exchange rate is shown to affect the firm's real marginal cost, aggregate supply and aggregate demand. The welfare objective depends on the openness of the economy, and the optimal policy rule differs from that which obtains in a closed economy. The inflation versus output gap stabilization trade-off is caused by the real exchange rate. The implied optimal monetary policy regime is domestic inflation target coupled with controlled floating of the real exchange rate.     

Real wage rigidities and optimal monetary policy in a small open economy

The main objective of the study is to provide a theoretical analysis of optimal monetary policy in a small open economy where households set real wage in a staggered fashion. The introduction of real wage rigidities plays a important role to resolve main shortcomings of the standard new Keynesian small open economy model. The main findings regarding the issue of monetary policy design can be summarized as three fold. First, the optimal policy is to seek to minimize variance of domestic price inflation, real wage inflation, and the output gap if both domestic price and real wage are sticky. Second, controlling CPI inflation directly or indirectly induces relatively large volatility in output gap and other inflations. Therefore, both CPI inflation-based Taylor rule and nominal wage-inflation based Taylor rule are suboptimal. Last, a policy that responds to a real wage inflation is most desirable.     

Does it matter (for equilibrium determinacy) what price index the central bank targets?

What inflation rate should the central bank target? We address determinacy issues related to this question in a two-sector model in which prices can differ in equilibrium. We assume that the degree of nominal price stickiness can vary across the sectors and that labor is immobile. The contribution of this paper is to demonstrate that a modified Taylor Principle holds in this environment. If the central bank elects to target sector one, and if it responds with a coefficient greater than unity to price movements in this sector, then this policy rule will ensure determinacy across all sectors. The results of this paper have at least two implications. First, the equilibrium-determinacy criterion does not imply a preference to any particular measure of inflation. Second, since the Taylor Principle applies at the sectoral level, there is no need for a Taylor Principle at the aggregate level.     

Sectoral inflation persistence and optimal monetary policy

This paper examines optimal monetary policy in a new Keynesian model with sectoral inflation persistence. It focuses on the welfare differential between timeless perspective (TP) and a purely discretionary monetary policy. Sectoral inflation persistence renders the central bank’s optimization problem more complicated under both cases of constant elasticity of substitution consumption index and generalized rule-of-thumb price setting. We find that there are substantial gains from employing a TP policy. This paper addresses the fact that this gain is robust with any changes in key structural parameters.     

Taylor Rule implementation of the optimal policy at the zero lower bound: Does the cost channel matter?

This paper analyzes the implementation of the optimal policies at the Zero Lower Bound (ZLB) by the Taylor rule in the presence of a cost channel. We find that, the presence of a cost channel significantly impairs the ability of the Taylor rule to implement optimal policies when economy is subject to the ZLB. The main findings of the paper are, (i) the Taylor rule with optimally chosen inflation target partially implements the optimal discretionary policy but cannot implement the optimal policy under commitment, and (ii) the T-only policy, which follows discretion after an optimally chosen exit date from the ZLB, is the best that can be implemented by the Taylor rule in the presence of cost channel.     

Optimal fiscal and monetary policy under sticky prices

This paper studies optimal fiscal and monetary policy under sticky product prices. The theoretical framework is a stochastic production economy. The government finances an exogenous stream of purchases by levying distortionary income taxes, printing money, and issuing nominal non-state-contingent bonds. The main findings of the paper are: First, for a miniscule degree of price stickiness (i.e., many times below available empirical estimates) the optimal volatility of inflation is near zero. Second, small deviations from full price flexibility induce near random walk behavior in government debt and tax rates. Finally, price stickiness induces deviation from the Friedman rule.     

Limited asset markets participation, monetary policy and (inverted) aggregate demand logic

This paper incorporates limited asset markets participation in dynamic general equilibrium and develops a simple analytical framework for monetary policy analysis. Aggregate dynamics and stability properties of an otherwise standard business cycle model depend nonlinearly on the degree of asset market participation. While ‘moderate’ participation rates strengthen the role of monetary policy, low enough participation causes an inversion of results dictated by conventional wisdom. The slope of the ‘IS’ curve changes sign, the ‘Taylor principle’ is inverted, optimal welfare-maximizing discretionary monetary policy requires a passive policy rule and the effects and propagation of shocks are changed. However, a targeting rule implementing optimal policy under commitment delivers equilibrium determinacy regardless of the degree of asset market participation. Our results may justify Fed's behavior during the ‘Great Inflation’ period.     

Capital Inflows,Dutch Disease Effects,and Monetary Policy in a Small Open Economy

This paper studies the role of monetary policy in a small open economy that experiences Dutch disease effects as a result of capital inflows, and examines the issue of whether such a policy should seek to address these effects from a welfare perspective. I find that Dutch disease effects occur under a fixed nominal exchange rate regime. However, a monetary policy regime characterized by generalized Taylor interest rate rules featuring either the real exchange rate or the nominal exchange rate avert Dutch disease effects. Welfare results reveal that the optimal rule is a generalized Taylor rule consistent with nominal exchange rate flexibility.     

ENDOGENOUS MARKET STRUCTURES AND STRATEGIC TRADE POLICY*

I characterize the optimal export promoting policy for international markets whose structure is endogenous. Contrary to the ambiguous results of strategic trade policy for duopolies, it is always optimal to subsidize exports when entry is endogenous, under both quantity and price competition. With homogenous goods the optimal export subsidy is a fraction 1/ε of the price, where ε is the elasticity of demand (the exact opposite of the optimal export tax in the neoclassical trade theory). Analogously, I show the general optimality of R&D subsidies and of competitive devaluations to promote exports in foreign markets where entry is endogenous.     

A general equilibrium appraisal of energy policy in Mexico

This paper develops a static neoclassical general equilibrium model of the Mexican economy that focuses on production, consumption, and exports of energy goods. The specification of the model allows the government to set prices and production levels of energy goods exogenously. Domestic prices differ from international prices, and net exports of these goods are determined residually. The level of energy exports is a major factor in the determination of the government and trade deficits. The analysis presented in this paper serves as a case study of how to design and use an applied general equilibrium model to do policy analysis. An interesting feature is that the model itself is used to determine one of the key parameters, the elasticity of substitution of non-energy imports for domestic goods.     

Supply shocks and the interdependence of macroeconomic stability under flexible exchange rates

This paper analyzes the effects of a change in the monetary policy of a large economy on the macroeconomic stability of a small open economy with high dependence on imported intermediate goods. The analysis is carried out using the Taylor framework where the money supply rule is specified by the degree of monetary accommodation of price shocks. A supply shock to the large country is transmitted as both demand and supply shocks to the small country. A shift toward less monetary accommodation by the large country is shown to increase both price and output instability in the small country through the supply side linkage, while it may enhance price or output stability through the demand side linkage. Simulation results for Germany and Japan suggest that the supply side effect on price stability is important and that the effect on output stability depends crucially on the importance of trade in goods between the large country and the country in question.     

Interest rate rules, inflation and the Taylor principle: an analytical exploration

Summary. The purpose of this article is to characterize optimal interest rate rules in the framework of a dynamic stochastic general equilibrium model, and notably to scrutinize the “Taylor principle”, according to which the nominal interest rate should respond more than one for one to inflation. This model yields explicit solutions for the optimal rule. We find that the elasticity of response depends on numerous factors, such as the degree of price rigidity, the autocorrelation of the underlying shocks, or which measure of inflation is used. In general the optimal elasticity of the interest rate with respect to inflation needs not be greater than one.Received: 6 November 2003, Revised: 17 August 2004 JEL Classification Numbers: E5, E52, E58.J.-P. Bénassy: I wish to thank Daniel Laskar and an anonymous referee for their perceptive comments on earlier drafts of this paper. Of course all remaining deficiencies are mine.     

Devaluation,pass-through and foreign reserves dynamics in a tourism economy

This paper examines the effects of currency devaluations on goods prices and foreign reserves for a small-open economy with inbound tourism. Tourism transforms non-traded goods into exportable goods. Devaluations yield an over pass-through to the prices of the non-traded tourism goods. This may hurt the trade balance and hence lead to a decline in foreign reserves for the economy.     

Exchange Rate Regimes and Welfare Losses from Foreign Crises: The Impact of the US Financial Crisis on Mexico

We modify the Gali and Monacelli small open economy dynamic stochastic general equilibrium (DSGE) model, calibrate to Mexican data and simulate the impact of the financial crisis on Mexico, under floating and counter factual fixed exchange rates. The floating exchange rate ameliorates welfare losses for Mexico. They are greater under fixed exchange rates because the return paths to equilibrium are more volatile (higher variance) and output, consumption and employment impulse response functions (IRFs) overshoot. Monetary policy, inflation targeting with floating exchange rates, clearly reduced the welfare costs vis‐à‐vis other counter factual policies including consumer price index‐based Taylor rule, domestic inflation Taylor rule and fixed exchange rates.     

Real exchange rates,asset prices and terms of trade: A theoretical analysis

This paper develops a continuous-time two-country dynamic equilibrium model, in which the real exchange rates, asset prices, and terms of trade are jointly determined in the presence of nontradable goods. The model determines the relation between the financial markets and real goods markets in the world economy and their responses to various shocks under the home bias assumption. A positive domestic supply shock induces a positive return on the domestic asset markets and a deterioration of terms of trade that improves the foreign output and boosts the foreign asset markets. Demand shocks act in the opposite way. This model also analyses the impact of change in the relative price of nontradable to tradable goods on the terms of trade and asset markets. A higher productivity growth in tradable goods than in nontradable goods leads to a higher relative price of nontradable to tradable goods, which appreciates the real exchange rate, deteriorates the terms of trade, and depresses the domestic and foreign asset markets. A lower relative price of nontradable goods depreciates the real exchange rate, improves the terms of trade, and lifts both the domestic and foreign asset markets.     

A comparison of optimal policy rules prior to and during inflation targeting: empirical evidence from Bank of Canada

We examine policy rules that are consistent with inflation targeting (IT) framework in a small macroeconomic model of the Canadian economy. We set up an optimal linear regulator problem and derive policy rules to compare the dynamics of pre-IT and IT eras. We find that while the optimal monetary policy rule in the pre-IT period is best described with a loss function that attaches equal weight to price stability, financial stability and output stability; the IT era is dominated by the price stability objective followed by the financial stability and output stability, consecutively. Moreover, we do not find an explicit role for exchange rate stability in the objective function of the Bank of Canada for both monetary policy eras. We, then, compare the properties of the derived optimal rules with those of an ad hoc Taylor rule for the IT period. In response to inflationary shocks, Taylor rule brings down inflation rates more quickly compared to the derived policy rules, but at the cost of a higher sacrifice ratio and more volatile interest rates.     

Productivity Shocks and Monetary Policy in a Two-Country Model

In this paper, we examine the effects of foreign productivity shocks on monetary policy in a symmetric open economy. Our two-country model incorporates the New Keynesian features of price stickiness and monopolistic competition based on the cost channel of Ravenna and Walsh (2006). In particular, in response to asymmetric productivity shocks, firms in one country achieve a more efficient level of production than those in another economy. Because the terms of trade are directly affected by changes in both economies’ output levels, international trade creates a transmission channel for inflation dynamics in which a deflationary spiral in foreign producer prices reduces domestic output. When there is a decline in economic activity, the monetary authority should react to this adverse situation by lowering the key interest rate. The impulse response function from the model shows that a productivity shock can cause a real depreciation of the exchange rate when economies are closely integrated through international trade.