Wage indexation and the unemployment-inflation trade-off

A variety of wage indexation schemes are analyzed in the context of a simple dynamic disequilibrium macroeconomic model. These indexation schemes include rigid money wages (zero indexation), rigid real wages (full indexation), and intermediate cases (partial indexation). In a situation of unemployment, aggregate demand increases produce the most desirable results under rigid money wages. In a situation of excess demand for labor, aggregate demand increases produce the least desirable effects under rigid money wages. Mixed indexation schemes, in which money or real wages are rigid downward, are also examined as are the effects of stop-go policies.     

On optimal wage indexation when shocks are real

This note studies the optimal degree of wage indexation in the presence of real shocks. Contrary to what is indicated in the literature, it is demonstrated that the optimal degree of indexation is not limited to (0;1) but may take any value in (-∞;∞).     

The effects of indexation of wage contracts on macro-economic stability

The paper develops a simple analytical framework in which the shortrun affects of wage indexation on the dynamic stability of inflation can be analyzed. It consists of a unlonized labor market faced by a competitive demand. Without indexation, the wage contract is based upon the union's prediction of the price level during the period of the contract. With indexation, the same objective is achieved by contracting only once at some initial period, subject to the stipulation that the nominal wage is linked to the price level. The main result is that when the demand for money is sensitive to changes in the expected rate of inflation, nominal variables like prices and wages are more likely to yield an unstable dynamic response with wage indexation, thus endangering the monetary system.     

Optimal intensity targets for greenhouse gas emissions trading under uncertainty

Uncertainty is an obstacle for commitments under cap and trade schemes for emission permits. We assess how well intensity targets, where each country’s permit allocation is indexed to its future realized GDP, can cope with uncertainties in international greenhouse emissions trading. We present some empirical foundations for intensity targets and derive a simple rule for the optimal degree of indexation to GDP. Using an 18-region simulation model of a cooperative, global cap-and-trade treaty in 2020 under multiple uncertainties and endogenous commitments, we show that optimal intensity targets could reduce the cost of uncertainty and achieve significant increases in global abatement. The optimal degree of indexation to GDP would vary greatly between countries, including super-indexation in some advanced countries, and partial indexation for most developing countries. Standard intensity targets (with one-to-one indexation) would also improve the overall outcome, but to a lesser degree and not in all individual cases. Although target indexation is no magic wand for a future global climate treaty, gains from reduced cost uncertainty and the potential for more stringent environmental commitments could justify the increased complexity and other potential downsides of intensity targets.      

Partial wage indexation with real shocks

This note analyzes wage indexation from a macroeconomic viewpoint. Its purpose is to examine when wage indexation should be partial in the presence of real shocks, and it shows how the conditions for this to be the case depend on the aggregate production function, the income velocity of money, and the labor supply.     

Price rules, wage indexing, and optimal monetary policy

There has been a recent increased interest in a monetary price rule. This paper analyzes the efficiency of such a monetary rule within the context of a rational expectations macro model. We compare the price rule with the standard money rule and interest rate rule. We find that as the supply shock variance approaches zero the price rule dominates both a money and interest rate rule. We then investigate the efficiency of these alternative money rules when we allow wage indexation to the price level.     

Which improves welfare more: A nominal or an indexed bond?

Summary. Economists have long argued that loan contracts should be indexed to remove the risks arising from fluctuations in the purchasing power of money: indexation however while eliminating one risk, substitutes another, arising from fluctuations in relative prices of goods. We present a theoretical framework which permits the relative merits of a nominal versus an indexed bond to be assessed in a general equilibrium setting. Received: July 31, 1995; revised version August 7, 1996     

Price setting and the steady-state effects of inflation

This paper examines how price setting plays a key role in explaining the steady-state effects of inflation in a monopolistic competition economy with transactions-facilitating money. Three pricing variants (optimal prices, indexed prices, and unchanged prices) are introduced through a generalization of the Calvo-type setting that allows price indexation. We found that in an economy with less indexed prices, the steady-state negative impact of inflation on output is higher. Regarding welfare analysis, our results support a long-run monetary policy aimed at price stability with a close-to-zero inflation target. This finding is robust to any price setting scenario.JEL Classification: E13, E31, E50The writing of this paper commenced during the time I spent on the Research Visitors Programme 2001 of the European Central Bank and an earlier version of the paper became ECB Working Paper No. 140. I would like to thank Bennett T. McCallum, Frank Smets, and Oscar Bajo-Rubio for their valuable comments and suggestions, and the Ministerio de Ciencia y Tecnología of Spain for its financial support (Research Project 2002/00954).     

NOMINAL WAGE INDEXATION,QUASI‐EQUILIBRIA AND REAL WAGE DYNAMICS

In contrast to the traditional static approach to indexation, this paper analyses the dynamic consequences for real wages of the mechanism that links nominal wages to inflation. Revisiting a contribution by Dehez and Fitoussi on macroeconomic fluctuations , I analyse a monetary overlapping generations small open economy in which full indexation is interpreted as the occurrence of a dynamic ‘quasi‐equilibrium’. In the suggested framework, the nominal wage is linked to the inflation rate by a specific indexation formula whose shape relies on unions' bargaining positions. Assuming a constant peg for the real interest rate and the superneutrality of money, I show that the economy has a unique long‐run quasi‐equilibrium allocation whose stability depends only on the behaviour of the monetary authority. Moreover, I show how the operating of a ‘wage‐aspiration effect’ might lead to the persistence of involuntary unemployment.     

Monetary equilibrium and price stickiness reconsidered: A reply to Bagus and Howden

Bagus and Howden (Review of Austrian Economics 24(4): 383?C402, 2011) argue that price stickiness is a poor justification for advocating a flexible money supply through the issuing of fiduciary media under central or free banking. They view the contraction in output following an exogenous increase in money demand as an optimal response, worry about redistribution effects from the issuance of fiduciary media, and claim a changing money supply complicates economic calculation. Accepting their view that the contraction in output is an optimal response to an exogenous change in money demand, we still find a potentially beneficial role for monetary policy (under central banking) or fractional reserve note issue (under free banking). We show that even if all prices were perfectly flexible, changes in the money supply to offset changes in money demand might still be desirable. We point out several errors and mischaracterizations in their article, justify our decision to disregard wealth transfers, and discuss how a flexible money supply might facilitate economic calculation.     

Can growth-enhanced monetary policy improve welfare when people seek social status?

This paper examines the growth and welfare effects from an increase in the rate of money supply in an Ak type growth model with a relative wealth-enhanced social status motive, production externalities, and liquidity constraints. When only consumption is constrained by liquidity, fast money supply can hasten output growth unless seigniorage revenue is wasted and production externalities do not exist. We find that even though money growth normally promotes economic growth, it does not improve welfare when capital stock is over-accumulated. In general, an optimal monetary policy minimizes seigniorage. Our results also conclude that the optimal monetary policy rarely follows the Friedman rule.     

IMPERFECT MONITORING AND THE DISCOUNTING OF INSIDE MONEY*

This article evaluates the efficiency of a requirement that private issuers redeem inside money on demand at par in a random‐matching model of money where the issuers of inside money are imperfectly monitored. I find that for sufficiently imperfect monitoring, a par redemption requirement leads to lower social welfare than if private money were redeemed at a discount. A central message of the article is that if inside money and outside money are not perfect substitutes, a par redemption requirement may not be socially optimal because such a requirement effectively binds them to circulate as if they are.     

Optimal monetary policy with the cost channel and monopolistically-competitive banks

This paper studies the optimal nominal policy interest rate in a model with the cost channel and imperfect competition in the banking sector. Due to this market power, the interest rate on deposits is relatively low; in particular it is lower than the policy interest rate. This, in turn, leads to a suboptimal level of deposits and, as a result, to a low level of intermediation. Deviations from the Friedman Rule are optimal in this setup regardless of the assumption about price rigidity; since households can hold their assets in the form of cash or deposits, taxing money, which is an imperfect substitute for deposits, is optimal in order to increase the level of deposits and encourage intermediation. The main results of the paper are robust to the introduction of market power in the loan market as well as stickiness in both the deposit and the loan markets.     

Cyclical implications of indexing the minimum wage

Macroeconomic implications of proposals to index the minimum wage are examined in a two-sector labor-market model with random aggregate demand disturbances. Traditional policy, which sets the nominal minimum wage for several periods before reestablishing its real value, increases both the amplitude and persistence of cyclical movements in employment. Full indexation, by reducing the amplitude of cyclical fluctuations in employment, will improve the allocative performance of low wage market empirical analysis indicates that modest but statistically significant fluctuations in employment result from the process of periodically setting the minimum wage. These effects are most pronounced for youths. Overall, the empirical results suggest that indexation can result in a small increase in efficiency.     

Partial inflation indexation and long-run inflation targeting in a growing economy: A comparison of Calvo and Rotemberg pricing models

The observed 2% long run inflation target in most developed industrial nations is in variance with the zero or negative optimal inflation rates predicted by prominent monetary theories. Using a calibrated simple New-Keynesian model with endogenous growth and nominal rigidity, we compare two price setting environments of Calvo (1983) and Rotemberg (1982). In our growth model, the steady state welfare maximizing inflation takes into account the growth effect as well as the price distortionary effects of inflation. The long-run welfare maximizing trend inflation could be positive in economies with nominal rigidity in the form of partial inflation indexation and price stickiness. A higher degree of inflation indexation lowers the steady state price distortion in the Calvo model and steady state price adjustment cost in Rotemberg model and raises the long run optimal inflation. Since the productive inefficiency caused by partial inflation indexation is higher in Calvo economy compared to Rotemberg, the long run optimal trend inflation is higher in Rotemberg than in Calvo. In both models, a two percent long run inflation target is attainable for a reasonable degree of inflation indexation.     

Cash-in-advance constraint,optimal monetary policy,and human capital accumulation

This paper investigates optimal monetary policy in an overlapping-generations model with endogenous growth fueled by the accumulation of human capital and under a cash-in-advance constraint. We consider the case where the government finances public education fully by seigniorage. Three main results are obtained. First, there exists an optimal money growth rate that maximizes the economic growth rate along the steady growth path. Second, on this path, the Laffer curve of seigniorage takes the maximum. Finally, the money growth rate for maximizing seigniorage along the steady growth path, which also leads to maximization of the economic growth rate, is lower than that for maximizing seigniorage in the present period.     

A Search Model of Unemployment and Inflation*

This paper introduces money into the standard labor‐matching model. A double‐coincidence problem makes money necessary as a medium of exchange. In the long run, a rise in the growth rate of money leads to higher inflation and higher unemployment, such that the long‐run Phillips curve is not vertical. The optimal monetary growth rate decreases with greater worker bargaining power, the level of unemployment benefits, and the payroll tax rate.     

Optimal monetary policy in a small open economy with inflation and output persistence

We study optimal monetary policy for a small open economy in a model where both inflation and output show persistence. We incorporate habit formation into intertemporal consumption decision and modify the Calvo price setting to include indexation to past inflation. The message conveyed from this study can be viewed as twofold. First, full stabilization of domestic prices or the output gap is not optimal policy. This is because stabilization of the output gap leads to serial correlation in domestic inflation, whereas under full stabilization of domestic prices the output gap displays some serial correlation. It is, however, shown that at the zero inflation steady state, stabilizing domestic prices is equivalent to stabilizing the output gap. Second, in the presence of foreign income shock inflation and the output gap are more stable under flexible CPI inflation targeting than under other alternative policy regimes considered.     

International Transmission of Monetary Shocks and the Non‐neutrality of International Money

Monetary shocks and how they are transmitted internationally are investigated in this paper. The paper shows that where a national currency is used as an international medium of exchange, the international money is non‐neutral. In particular, an increase in the supply of the international money leads to a transfer of real resources to the international money‐issuing country from its trading partner. It also induces an expansion of the nontradable sector in the international money‐issuing country, and an expansion of the tradable sector in its trading partner. The real impact of a monetary shock is greater under a fixed exchange rate system than under a flexible exchange rate system.     

Marginal Tax Rate Uncertainty and Wage Indexation

Frequent changes in American tax laws over the last 30 years have led to uncertainty regarding the marginal tax rate on labour income. Using a multisector framework, this paper considers the implications of the tax rate uncertainty for wage flexibility. The Fiscal Authority sets the marginal wage tax rate, and is assumed to be the leader in a Stackelberg game. Wage setters in this game determine the degree of optimal indexation and are assumed to be followers. Increases in tax rate uncertainty lead to greater nominal wage flexibility, and a decrease in optimal progressivity. Additionally, indexation to nominal shocks is complete even if the product market is monopolistically competitive.