Frisch Elasticity Research Articles

Abstracts

Abstracts

The Transmission of Productivity Shocks: What Do We Learn About DSGE Modeling?

Nominal rigidities are known to be important for the transmission of monetary policy. We argue that nominal rigidities are important also for the transmission of technology shocks, especially for explaining their effects on hours and real wages. Evidence suggests that a positive technology shock leads to a short-run decline in labor hours and a gradual rise in real wages. We examine the ability of an RBC model augmented with real frictions, a pure sticky-price model, a pure sticky-wage model, and a model combining sticky prices and sticky wages in accounting for this evidence. For each model, we examine the implications of the Frisch elasticity of hours and the extent of monetary policy accommodation for the results. We show that both sticky prices and sticky nominal wages are important for explaining the observed effects of technology shocks on labor market variables. This finding is robust and it holds with a small Frisch elasticity of hours and a relatively high frequency of price re-optimization that are consistent with microeconomic evidence.

Does Indivisible Labor Explain the Difference between Micro and Macro Elasticities? A Meta-Analysis of Extensive Margin Elasticities

Macroeconomic calibrations imply much larger labor supply elasticities than microeconometric studies. One prominent explanation for this divergence is that indivisible labor generates extensive margin responses that are not captured in micro studies of hours choices. We evaluate whether existing calibrations of macro models are consistent with micro evidence on extensive margin responses using two approaches. First, we use a standard calibrated macro model to simulate the impacts of tax policy changes on labor supply. Second, we present a metaanalysis of quasi-experimental estimates of extensive margin elasticities. We find that micro estimates are consistent with macro evidence on the steady-state (Hicksian) elasticities relevant for cross-country comparisons. However, micro estimates of extensive-margin elasticities are an order of magnitude smaller than the values needed to explain business cycle fluctuations in aggregate hours. Hence, indivisible labor supply does not explain the large gap between micro and macro estimates of intertemporal substitution (Frisch) elasticities. Our synthesis of the micro evidence points to Hicksian elasticities of 0.3 on the intensive and 0.25 on the extensive margin and Frisch elasticities of 0.5 on the intensive and 0.25 on the extensive margin.

The anatomy of the aggregate labor supply elasticity

We show that the aggregate Frisch elasticity of labor supply can greatly exceed the corresponding individual-level parameter, and we illustrate the “anatomy” of the former in terms of intensive and extensive margins. The methodology consists of using micro data from the PSID to construct a panel of individuals and an aggregate time series obtained by aggregating these individuals each year. These two data sets represent exactly the same sample at different levels of aggregation, and we use them to identify the parameters of two distinct MaCurdy-type micro and macro equations. We find a micro elasticity of about 0.1 and a much larger macro elasticity that ranges from 1.1 to 1.7. There is no conflict between the two estimates: the micro one reflects only the intensive margin while the macro one reflects, in addition, the much more volatile extensive margin. Furthermore, aggregation of only continuously employed individuals allows us to provide a reliable estimate of the intensive margin elasticity in the range 0.3–0.4. This implies an extensive margin elasticity in the range 0.8–1.4. These findings suggest that micro evidence is not a benchmark for assessing how large the Frisch elasticity of labor supply should be in a model of the aggregate economy.

The Frisch Elasticity in Labor Markets with High Job Turnover

We estimate Frisch elasticity in a labor market with high job turnover. In a context where only around 18% of the employed labor force has formal and stable jobs, we perform a fixed effects estimation as proposed by MaCurdy (1981) with a Heckman correction for selection into unemployment. We identify the positive slope of the labor supply using firms' size as an instrumental variable for wages. We use Peruvian data from the Permanent Employment Survey of Lima. We find that neglecting wage endogeneity implies a downward sloping labor supply, while the job turnover bias, not accounting for job turnover, overestimates Frisch elasticity. We estimate Frisch elasticity at around 0.38, which indicates fairly adjustable wages and little reaction of hours of work to wage variations. Moreover, we find that the Frisch elasticity is decreasing in income and tended to increase in the last decade.

Reconciling Micro and Macro Estimates of the Frisch Labor Supply Elasticity

There are large differences between the microeconometric estimates of the Frisch labor supply elasticity (0-0.5) and the values used by macroeconomists to calibrate general equilibrium models (2-4). The microeconometric estimates of the Frisch are typically estimated by regressing changes in hours on changes in wages conditional on the individual being a married male head of household, working some minimum number of hours and being of prime working age. In contrast macroeconomic calibration values are typically set such that fluctuations in a general equilibrium model match the observed changes in the aggregate hours and wages from the whole population over time. This paper aims to explain the gap by estimating an aggregate Frisch elasticity which is consistent with the concept of macro calibration values using the microeconometric techniques. In order to estimate the Frisch consistent with the macro concept, this paper alters the typical microeconometric approach in order to incorporate fluctuations on the extensive margin and also broadens the scope of the sample to include single males, females, secondary earners, young individuals, and old individuals. This paper finds that estimates of the aggregate macro Frisch elasticity are in the middle of the range of macroeconomic calibration values (around 3.0). Furthermore, it finds that the key to explaining the difference are the fluctuations on the extensive margin of single males, females, secondary earners, older individuals, and younger individuals.

The Adjustments of Hours and Real Wages to Technology Shocks: Assessing the Role of Nominal Rigidities

Nominal rigidities are generally viewed as important for the transmission of monetary policy. We argue that nominal rigidities are important also for the transmission of technology shocks, especially for explaining their effects on hours and real wages. Evidence suggests that a positive technology shock leads to a short-run decline in labor hours and a gradual rise in real wages. We examine the ability of an RBC model augmented with real frictions, a pure sticky-price model, a pure sticky-wage model, and a model combining sticky prices and sticky wages in accounting for this evidence. We find that, according to this metric, the model with nominal wage and price rigidities is more successful than others. This finding is robust and holds true for a relatively small Frisch elasticity of hours and a relatively high frequency of price reoptimization that are consistent with microeconomic evidence.

The Laffer curve revisited

Laffer curves for the US, the EU-14 and individual European countries are compared, using a neoclassical growth model featuring “constant Frisch elasticity” (CFE) preferences. New tax rate data is provided. The US can maximally increase tax revenues by 30% with labor taxes and 6% with capital taxes. We obtain 8% and 1% for the EU-14. There, 54% of a labor tax cut and 79% of a capital tax cut are self-financing. The consumption tax Laffer curve does not peak. Endogenous growth and human capital accumulation affect the results quantitatively. Household heterogeneity may not be important, while transition matters greatly.

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The Frisch Elasticity in the Mercosur Countries: A Pseudo-Panel Approach

This paper provides estimates for the Mercosur countries of the Frisch elasticity – i.e., the elasticity of substitution between worked hours and real wages holding constant the marginal utility of wealth. We find a strong heterogeneity, with estimated elasticities ranging from 12.8 in Argentina to -13.1 in Paraguay. Brazil and Uruguay are in between, both with negative values of -1.9 and -1.4, respectively. We argue that the existence of severe liquidity constraints is the main reason behind the negative estimates found in Brazil, Paraguay and Uruguay. The heterogeneity of these estimates is the outcome of differences in many relevant economic dimensions – ranging from sectorial specialization to welfare state provisions and labor market specificities – all of them crucially affecting the socioeconomic situation of individuals. The diversity of Frisch elasticities calls for the development of a cross-country (rather than a within-country) policy approach, since they crucially affect the dynamics of the business cycle and business cycle synchronization is a step prior to the design of macro-convergence policies in the Mercosur context.

Reconciling Cyclical Movements in the Marginal Value of Time and the Marginal Product of Labor

Recessions appear to be times when the marginal rate of substitution between goods and workers’ time falls below the marginal product of labor. If so, the allocation of workers’ time is inefficient. I develop a model of households and production that reconciles cyclical movements in the marginal value of time and the marginal product. The model embodies the findings of research that the Frisch elasticity of labor supply is less than one. It treats unemployment in a search‐and‐matching setup. Recessions do not result in private inefficiency in the allocation of labor, but the unemployment rate may be socially inefficiently high.

Do Nominal Rigidities Matter for the Transmission of Technology Shocks?

A commonly held view is that nominal rigidities are important for the transmission of monetary policy shocks. We argue that they are also important for understanding the dynamic effects of technology shocks, especially on labor hours, wages, and prices. Based on a dynamic general equilibrium framework, our closed-form solutions reveal that a pure sticky-price model predicts correctly that hours decline following a positive technology shock, but fails to generate the observed gradual rise in the real wage and the near-constance of the nominal wage; a pure sticky-wage model does well in generating slow adjustments in the nominal wage, but it does not generate plausible dynamics of hours and the real wage. A model with both types of nominal rigidities is more successful in replicating the empirical evidence about hours, wages and prices. This finding is robust for a wide range of parameter values, including a relatively small Frisch elasticity of hours and a relatively high frequency of price reoptimization that are consistent with microeconomic evidence.

Estimating Frisch labor supply elasticity in Japan

Using Japanese data from the 1990s aggregated by prefecture, age group, and sex, we estimate Frisch labor supply elasticity, which has been seldom estimated in Japan. The change in labor supply can be decomposed into two labor-supply behaviors: extensive margin, indicating workers' entry and exit from the labor market; and intensive margin, indicating changes in hours of work in response to a wage change. Our estimates of the Frisch elasticity on the extensive and intensive margins combined are in the range of 0.2 to 0.7 for males, 1.3 to 1.5 for females, and 0.7 to 1.0 for both sexes. Our estimates of the Frisch elasticity on only the intensive margin are in the range of 0.1 to 0.2 for all three categories. These results suggest that extensive margin explains the bulk of labor-supply changes in Japan. As for the changes in the estimates of the Frisch elasticity in Japan from the 1990s, it has been either unchanged or in a declining trend on the extensive and intensive margins combined, either unchanged or in a slight rising trend on only the intensive margin, and in a declining trend on only the extensive margin. J. Japanese Int. Economies 22 (4) (2008) 566–585.

The Transmission of Domestic Shocks in the Open Economy

This paper uses an open economy DSGE model to explore how trade openness affects the transmission of domestic shocks. For some calibrations, closed and open economies appear dramatically different, reminiscent of the implications of Mundell-Fleming style models. However, we argue such stark differences hinge on calibrations that impose an implausibly high trade price elasticity and Frisch elasticity of labor supply. Overall, our results suggest that the main effects of openness are on the composition of expenditure, and on the wedge between consumer and domestic prices, rather than on the response of aggregate output and domestic prices.

Fiscal Policy and Macroeconomic Stabilizations: What are the Gains from Cooperation?

In this paper we extend the open-economy stochastic framework of Obstfeld and Rogoff (Q J Econ. 117:503–36, 2002) to include distortionary taxation, when prices are flexible but wages are sticky. We use the model to analyze the optimal design of tax rules that respond to productivity shocks, under non-cooperation and cooperation between the fiscal authorities, and evaluate the gains from coordination. We show that, although monetary policy would be preferred to fiscal policy as a stabilization tool both under competition (Nash) and under cooperation, there is a role for procyclical fiscal stabilization in a monetary union where the monetary authority cannot respond to asymmetric shocks. Moreover, we show that in the Nash game there will be an incentive for the fiscal authorities to try to manipulate the terms-of-trade in their favor, and we estimate the potential gains from fiscal policy coordination. The size of the gains depends crucially on the value of the Frisch elasticity of labor supply. For lower values of the Frisch elasticity (more in line with microeconometric estimates) the gains are relatively small, but for more elastic labor supplies (more in agreement with the business cycle literature) the gains can be very large.

Explaining Asset Prices with External Habits and Wage Rigidities in a DSGE Model

In this paper, I investigate the scope of a model with exogenous habit formation - or `catching up with the Joneses`, see Abel (1990) - to generate the observed equity premium as well as other key macroeconomic facts. Along the way, I derive restrictions for four out of eight parameters for a rather general preference specification of habit formation by imposing consistency with long-run growth, the leisure share, the aggregate Frisch elasticity of labor supply, the observed risk-free rate, and the observed Sharpe ratio. I show that a DSGE model with (exogenous and lagged) habits in both leisure and consumption, but not necessarily with additional persistence, is well capable of matching the observed asset market facts as well as macro facts, provided one allows for moderate real wage stickiness and provided one allows for sufficient curvature on preferences, as dictated by the asset market observations. Without wage stickiness, delivery on both the asset pricing implications as well as the macroeconomic implications seems to be much harder.

Explaining Asset Prices with External Habits and Wage Rigidities in a DSGE Model

In this paper, I investigate the scope of a model with exogenous habit formation - or catching up with the Joneses, see Abel (1990) - to generate the observed equity premium as well as other key macroeconomic facts. Along the way, I derive restrictions for four out of eight parameters for a rather general preference specification of habit formation by imposing consistency with long-run growth, the leisure share, the aggregate Frisch elasticity of labor supply, the observed risk-free rate, and the observed Sharpe ratio. I show that a DSGE model with (exogenous and lagged) habits in both leisure and consumption, but not necessarily with additional persistence, is well capable of matching the observed asset market facts as well as macro facts, provided one allows for moderate real wage stickiness and provided one allows for sufficient curvature on preferences, as dictated by the asset market observations. Without wage stickiness, delivery on both the asset pricing implications as well as the macroeconomic implications seems to be much harder.

The Transmission of Domestic Shocks in the Open Economy

This paper uses an open economy DSGE model to explore how trade openness affects the transmission of domestic shocks. For some calibrations, closed and open economies appear dramatically different, reminiscent of the implications of Mundell-Fleming style models. However, we argue such stark differences hinge on calibrations that impose an implausibly high trade price elasticity and Frisch elasticity of labor supply. Overall, our results suggest that the main effects of openness are on the composition of expenditure, and on the wedge between consumer and domestic prices, rather than on the response of aggregate output and domestic prices.

How Far Are We from the Slippery Slope? The Laffer Curve Revisited

We compare Laffer curves for labor and capital taxation for the US, the EU-14 and individual European countries, using a neoclassical growth model featuring constant Frisch elasticity (CFE) preferences. We provide new tax rate data. The US can increase tax revenues by 30% by raising labor taxes and by 6% by raising capital income taxes. For the EU-14 we obtain 8% and 1%. Dynamic scoring for the EU-14 shows that 54% of a labor tax cut and 79% of a capital tax cut are self-financing. The Laffer curve in consumption taxes does not have a peak. Endogenous growth and human capital accumulation locates the US and EU-14 close to the peak of the labor tax Laffer curve. We derive conditions under which household heterogeneity does not matter much for the results. By contrast, transition effects matter: a permanent surprise increase in capital taxes always raises tax revenues.

Markups, Gaps, and the Welfare Costs of Business Fluctuations

In this paper we present a simple theory-based measure of the variations in aggregate economic efficiency: the gap between the marginal product of labor and the household's consumption/leisure tradeoff. We show that this indicator corresponds to the inverse of the markup of price over social marginal cost, and give some evidence in support of this interpretation. We then show, that, with some auxilliary assumptions our gap variable may be used to measure the efficiency costs of business fluctuations. We find that the latter costs are modest on average. However, to the extent the flexible price equilibrium is distorted, the gross efficiency losses from recessions and gains from booms may be large. Indeed, we find that the major recessions involved large efficiency losses. These results hold for reasonable parameterizations of the Frisch elasticity of labor supply, the coefficient of relative risk aversion, and steady state distortions.