Optimal Monetary Policy with Labor Market Frictions: The Role of the Wage Channel

This paper introduces right‐to‐manage bargaining into a labor search model with sticky prices instead of standard efficient bargaining and examines the Ramsey‐optimal monetary policy. Without real wage rigidity, even when the steady state is inefficient, price stability is nearly optimal in response to technology or government shocks. Right‐to‐manage bargaining creates the wage channel to inflation, because there is a direct relationship between real wages and real marginal cost. In the presence of the wage channel, price markups consist of only real marginal cost, and real wages and hours per worker are determined such as in the Walrasian labor market.     

The Cost of Nominal Rigidity in NNS Models

We present a model with Calvo wage and price setting, capital formation, and estimated rules for government spending and monetary policy. Our model captures many aspects of U.S. data, including the volatility that has been observed in various efficiency gaps. We estimate the cost of nominal rigidity—welfare under flexible wages and prices minus welfare with nominal rigidities—to be as much as 3% of consumption each period. Since there are interest rate rules that virtually eliminate this cost, our model suggests that—contrary to Lucas's (2003) assertion—there is considerable room for improvement in demand management policy.     

Ramsey monetary policy with labor market frictions

Traditional New Keynesian models prescribe that optimal monetary policy should aim at price stability. In the absence of a labor market frictions, the monetary authority faces no unemployment/inflation trade-off. The design of optimal monetary policy is analyzed here for a framework with sticky prices and matching frictions in the labor market. Optimal policy features deviations from price stability in response to both productivity and government expenditure shocks. When the Hosios [1990. On the efficiency of matching and related models of search and unemployment. Review of Economic Studies 57 (2), 279-298] condition is not met, search externalities make the flexible price allocation unfeasible. Optimal deviations from price stability increase with workers’ bargaining power, as firms incentives to post vacancies fall and unemployment fluctuates above the Pareto efficient one.     

Optimal monetary policy with the cost channel

In the standard new Keynesian framework, an optimizing policy maker does not face a trade-off between stabilizing the inflation rate and stabilizing the gap between actual output and output under flexible prices. An ad hoc, exogenous cost-push shock is typically added to the inflation equation to generate a meaningful policy problem. In this paper, we show that a cost-push shock arises endogenously when a cost channel for monetary policy is introduced into the new Keynesian model. A cost channel is present when firms’ marginal cost depends directly on the nominal rate of interest. Besides providing empirical evidence for a cost channel, we explore its implications for optimal monetary policy. We show that its presence alters the optimal policy problem in important ways. For example, both the output gap and inflation are allowed to fluctuate in response to productivity and demand shocks under optimal monetary policy.     

Monetary Policy in a Forward-Looking Input–Output Economy

This paper examines the implications for monetary policy of sticky prices in both final and intermediate goods in a New Keynesian model. Both optimal policy under commitment and discretionary policy under simple loss functions are studied. Household utility losses under alternative loss functions are compared; additionally, the robustness of policy performance to model and shock misperceptions and parameter uncertainty is examined. Targeting inflation in both consumer and intermediate goods performs better than targeting inflation in one sector; targeting price levels of both final and intermediate goods performs significantly better. Moreover, targeting price levels in both sectors yields superior robustness properties.     

Optimal monetary policy in a small open economy with staggered wage and price contracts

We study optimal monetary policy for a small open economy in a model where both domestic prices and wages are sticky due to staggered contracts. The simultaneous presence of the two forms of nominal rigidities introduces an additional trade-off between domestic inflation and the output gap. We derive a second-order approximation to the average welfare losses that can be expressed in terms of the unconditional variances of the output gap, domestic price inflation, and wage inflation. As a consequence, the optimal policy seeks to minimize a weighted average of these variances. We analyze welfare implications of several alternative simple policy rules, and find that domestic price inflation targeting generates relatively large welfare losses, whereas CPI inflation targeting performs nearly as well as the optimal rule.     

Optimal inflation persistence: Ramsey taxation with capital and habits

Ramsey models of fiscal and monetary policy featuring time-separable preferences and a fixed supply of capital predict highly volatile inflation with no serial correlation. In this paper, we show that an otherwise-standard Ramsey model that incorporates capital accumulation and habit persistence predicts highly persistent inflation. The result depends on increases in either the ability to smooth consumption or the preference for doing so. The effect operates through the Fisher relationship: a smoother profile of consumption implies a more persistent real interest rate, which in turn implies persistent optimal inflation. Our work complements a recent strand of the Ramsey literature based on models with nominal rigidities. In these latter models, inflation volatility is lower than in the baseline model but continues to exhibit little persistence. We quantify the effects of habit and capital on inflation persistence and also relate our findings to recent work on optimal fiscal policy with incomplete markets.     

Technology shocks and labor market dynamics: Some evidence and theory

A positive technology shock may lead to a rise or a fall in per capita hours, depending on how hours enter the empirical VAR model. We provide evidence that, independent of how hours enter the VAR, a positive technology shock leads to a weak response in nominal wage inflation, a modest decline in price inflation, and a modest rise in the real wage in the short-run and a permanent rise in the long-run. We then examine the ability of several competing theories to account for this VAR evidence. Our preferred model features sticky prices, sticky nominal wages, and habit formation. The same model also does well in accounting for the labor market evidence in the post-Volcker period.     

Optimal monetary policy with imperfect common knowledge

This paper determines optimal nominal demand policy in a flexible price economy in which firms pay limited attention to aggregate variables. Firms’ inattentiveness gives rise to idiosyncratic information errors and imperfect common knowledge about the shocks hitting the economy. This is shown to have strong implications for optimal nominal demand policy. In particular, if firms’ prices are strategic complements and economic shocks display little persistence, monetary policy has strong real effects, making it optimal to stabilize the output gap. Weak complementarities or sufficient shock persistence, however, cause price level stabilization to become increasingly optimal. With persistent shocks, optimal monetary policy shifts from output gap stabilization in initial periods following the shock to price level stabilization in later periods, potentially rationalizing the medium-term approach to price stability adopted by some central banks.     

Optimal money and debt management: Liquidity provision vs tax smoothing

Conventional wisdom on public debt management says that liquidity demand should be satiated and that tax rates should be smoothed. Conflicts between the two can arise when government bonds provide liquidity. Smoothing taxes causes greater variability in fiscal balances, and therefore in the supply of government liabilities. When prices are flexible, and can jump to absorb fiscal shocks, the tradeoff between liquidity provision and tax smoothing is eased; when they conflict, optimal policy subordinates tax smoothing to satiating liquidity demand. When price fluctuations impose real costs, conflicts necessarily arise and optimal policy gives primacy to neither goal.     

On quality bias and inflation targets

Does Ramsey optimal policy call for adjusting the inflation target by the size of the quality bias in measured inflation? We find that if it is nonhedonic (or sticker) prices that are sticky, the conventional view, according to which it is optimal to adjust the inflation target upward by the size of the quality bias, is misguided. Furthermore, we establish that quality improvement is crucial for the determination of the optimal inflation target even in the absence of quality bias. In this case, if nonhedonic prices are sticky, sticker prices should fall at the rate of quality growth.     

Real exchange rate persistence and monetary policy rules

The objective of this paper is to analyze the effects of alternative monetary rules on real exchange rate persistence. Using a two-country stochastic dynamic general equilibrium with nominal price stickiness and local currency pricing, we will show how the persistence of purchasing power parity deviations can be related to a monetary theory of these deviations. When monetary policy lean against the wind, there is no relationship of proportionality between the time during which prices remain sticky and the persistence of the response of the real exchange rate: in this case high nominal price rigidity is not sufficient, per se, in generating any persistence following a monetary shock. Moreover, we emphasize the role of interest rates smoothing policies and relative price stickiness within countries in understanding the relationship between the real exchange rate and monetary shocks. With reasonable parameters values, a wide range of monetary policy rules can generate real exchange rate autocorrelations around the ones observed in the data.     

Reconsidering the Relationship between Inflation and Relative Price Variability

It has long been popularly believed that the relationship between inflation and relative price variability (RPV) is positive and stable. Using disaggregated CPI data for the United States and Japan, however, this study finds that the relationship is neither linear nor stable over time. The overall relationship is approximately U‐shaped around a nonzero threshold inflation rate. RPV therefore changes not with the inflation rate per se, but with the deviation of inflation from the threshold inflation rate. More importantly, the relationship is by no means stable over time but instead varies significantly in a way that coincides with regime changes of inflation or monetary policy. The relationship was positive during the period of high inflation of the 1970s and the early 1980s, as has been documented by a number of previous studies, whereas it takes a U‐shape profile during the Great Moderation. The results are robust to the use of core inflation, which excludes the traditionally volatile prices of food and energy. This paper then presents a modified version of the Calvo‐type sticky price model to describe the observed empirical regularities. Simulation experiments show that the modified Calvo model fits the data well, and that the underlying relationship hinges upon the degree of price rigidity, which is systematically related to inflation regime. For countries and periods with low inflation rates, the relationship takes a U‐shape as price adjustment is more sticky. In a high‐inflation environment, when price setting becomes more flexible, the U‐shaped profile vanishes.     

In search of the liquidity effect in a modern monetary model

This paper examines the impact of a monetary policy shock in a dynamic stochastic general equilibrium model with sticky prices and financial market frictions. First, we examine the shortcomings of monetary models emphasizing these frictions individually. The model then is specified to limit the response of prices and savings to a current period monetary disturbance. Our results show that this model can account for the following key responses to an expansionary monetary policy shock: a fall in the nominal interest rate; a rise in output, consumption, and investment; and a gradual increase in the price level. Finally, a detailed sensitivity analysis shows the model's results depend on the parameters assigned to critical structural features.     

Spending Reversals and Fiscal Multipliers under an Interest Rate Peg

This paper examines whether fiscal stimuli are more effective when the monetary policy is less responsive to inflation. First, we provide empirical evidence suggesting that, in the period of U.S. passive monetary policy, a positive government spending shock was followed over time by a spending cut. Second, our theoretical analysis reveals that the pegged nominal interest rate is not a sufficient condition to generate a large fiscal multiplier. An increase in government spending could increase the long‐run real interest rate, if it is associated with a government spending reversal and a less responsive monetary policy. Consequently, the response of private consumption can be negative and the government spending multiplier is not necessarily greater than 1.     

Price Stability in Economies with Habit Persistence

This paper shows that the divine‐coincidence does not hold in a sticky price model with external habit if a time‐varying tax rate on labor income is not implemented to fully eliminate the time‐varying distortions associated with external habit and monopoly power in goods market. The required labor income tax rate is inversely related to the risk‐free real interest rate and the markup in the goods market, but it is proportional to the degree of external habit. Under this circumstance, the optimal monetary policy commands a countercyclical interest rate, having a perfect negative correlation with tax rate in the sticky price model with external habit. If a time‐invariant tax is the only fiscal instrument, then the degree of external habit entails a gap between the private marginal rate of substitution between consumption and labor and the social marginal rate of substitution, generating an endogenous trade‐off between the stabilization of welfare‐relevant output gap and inflation. Under this circumstance, price stability is not the optimal policy. The monetary policy authority should optimally try to undo the time‐varying distortions associated with external habit and monopoly power in goods market by deviating from price stability.     

International dimensions of optimal monetary policy

This paper provides a baseline general equilibrium model of optimal monetary policy among interdependent economies with monopolistic firms and nominal rigidities. An inward-looking policy of domestic price stabilization is not optimal when firms’ markups are exposed to currency fluctuations. Such a policy raises exchange rate volatility, leading foreign exporters to charge higher prices vis-à-vis increased uncertainty in the export market. As higher import prices reduce the purchasing power of domestic consumers, optimal monetary rules trade off a larger domestic output gap against lower consumer prices. Optimal rules in a world Nash equilibrium lead to less exchange rate volatility relative to both inward-looking rules and discretionary policies, even when the latter do not suffer from any inflationary (or deflationary) bias. Gains from international monetary cooperation are related in a non-monotonic way to the degree of exchange rate pass-through.     

Taxes and stabilization in contemporary macroeconomic models

The role of proportional and procyclic labor income taxes for automatic stabilization with stochastic productivity is analyzed in a contemporary macroeconomic model based on imperfect competition. The importance of short-run nominal wage rigidity for the effectiveness of progressive taxes on labor income for stabilizing output and raising household welfare is examined in a model that yields complete analytical solutions with stochastic output shocks. Increasing the procyclicity of labor income tax rates raises welfare with and without rigid nominal wages in the model economy. With fully flexible prices and wages, a positive covariance between the distortionary tax rate and productivity reduces the volatility of production and employment. This effect disappears under nominal wage rigidity, although progressive taxation can still raise welfare by reducing the distortion caused by a proportional labor tax. With rigid nominal wages and flexible consumer goods prices, payroll taxes levied at rates that rise with output can serve as automatic stabilizers. JEL Code E62 · H20     

Optimal monetary policy with durable consumption goods

We document that the durable goods sector is much more interest-sensitive than the nondurables sector, and then investigate the implications of these sectoral differences for monetary policy. We formulate a two-sector general equilibrium model that is calibrated both to match the sectoral responses to a monetary shock derived from our empirical VAR and to imply an empirically realistic degree of sectoral output volatility and comovement. While the social welfare function involves sector-specific output gaps and inflation rates, the performance of the optimal policy rule can be closely approximated by a simple rule that targets a weighted average of aggregate wage and price inflation. In contrast, a rule that stabilizes a more narrow measure of final goods price inflation performs poorly in terms of social welfare.