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Papers written by Author(s): 'Matthias Kehrig'

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  • Working Paper

    Good Dispersion, Bad Dispersion

    March 2024

    Working Paper Number:

    CES-24-13

    We document that most dispersion in marginal revenue products of inputs occurs across plants within firms rather than between firms. This is commonly thought to reflect misallocation: dispersion is 'bad.' However, we show that eliminating frictions hampering internal capital markets in a multi-plant firm model may in fact increase productivity dispersion and raise output: dispersion can be 'good.' This arises as firms optimally stagger investment activity across their plants over time to avoid raising costly external finance, instead relying on reallocating internal funds. The staggering in turn generates dispersion in marginal revenue products. We use U.S. Census data on multi-plant manufacturing firms to provide empirical evidence for the model mechanism and show a quantitatively important role for good dispersion. Since there is less scope for good dispersion in emerging economies, the difference in the degree of misallocation between emerging and developed economies looks more pronounced than previously thought.
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  • Working Paper

    The Micro-Level Anatomy of the Labor Share Decline

    March 2020

    Working Paper Number:

    CES-20-12

    The labor share in U.S. manufacturing declined from 62 percentage points (ppts) in 1967 to 41 ppts in 2012. The labor share of the typical U.S. manufacturing establishment, in contrast, rose by over 3 ppts during the same period. Using micro-level data, we document five salient facts: (1) since the 1980s, there has been a dramatic reallocation of value added toward the lower end of the labor share distribution; (2) this aggregate reallocation is not due to entry/exit, to 'superstars" growing faster or to large establishments lowering their labor shares, but is instead due to units whose labor share fell as they grew in size; (3) low labor share (LL) establishments benefit from high revenue labor productivity, not low wages; (4) they also enjoy a product price premium relative to their peers, pointing to a significant role for demand-side forces; and (5) they have only temporarily lower labor shares that rebound after five to eight years. This transient pattern has become more pronounced over time, and the dynamics of value added and employment are increasingly disconnected.
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  • Working Paper

    The Cross-Section of Labor Leverage and Equity Returns*

    January 2017

    Working Paper Number:

    CES-17-70

    We study labor-induced operating leverage. Theoretically, we show that if labor markets are frictionless, two sufficient conditions for the existence of labor leverage are (a) relatively smooth wages and (b) a capital-labor elasticity of substitution strictly less than one. Our model provides theoretical support for the use of labor share'the ratio of labor expenses to value added'as a measure of labor leverage. We provide evidence for conditions (a) and (b), and we demonstrate the economic significance of labor leverage: High labor-share firms have operating profits that are more sensitive to economic shocks and have higher expected returns.
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  • Working Paper

    Slow to Hire, Quick to Fire: Employment Dynamics with Asymmetric Responses to News

    January 2017

    Working Paper Number:

    CES-17-15

    Concave hiring rules imply that firms respond more to bad shocks than to good shocks. They provide a united explanation for several seemingly unrelated facts about employment growth in macro and micro data. In particular, they generate countercyclical movement in both aggregate conditional 'macro' volatility and cross-sectional 'micro' volatility as well as negative skewness in the cross section and in the time series at different level of aggregation. Concave establishment level responses of employment growth to TFP shocks estimated from Census data induce significant skewness, movements in volatility and amplification of bad aggregate shocks.
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  • Working Paper

    Do Firms Mitigate or Magnify Capital Misallocation? Evidence from Plant-Level Data

    January 2017

    Working Paper Number:

    CES-17-14

    Almost two thirds of the cross-plant dispersion in marginal revenue products of capital occurs across plants within the same firm rather than between firms. Even though firms allocate investment very differently across their plants, they do not equalize marginal revenue products across their plants. We reconcile these findings in a model of multi-plant firms, physical adjustment costs and credit constraints. Credit constrained multi-plant firms can utilize internal capital markets by concentrating internal funds on investment projects in only a few of their plants in a given period and rotating funds to another set of plants in the future. The resulting increase in within-firm dispersion of marginal revenue products of capital is hence not a symptom of misallocation within the firm, but rather actions taken by the firm to mitigate external credit constraints and adjustment costs of capital. Economies with multi-plant firms produce more aggregate output despite higher dispersion in marginal revenue products of capital compared to economies with single-plant firms. Because emerging economies are predominantly populated by single-plant firms, the gains from reducing their distortions to the level of developed are larger than previously thought.
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  • Working Paper

    Slow to Hire, Quick to Fire: Employment Dynamics with Asymmetric Responses to News

    January 2015

    Working Paper Number:

    CES-15-02

    We study the distribution of employment growth when hiring responds more to bad shocks than to good shocks. Such a concave hiring rule endogenously generates higher moments observed in establishment-level Census data for both the cross section and the time series. In particular, both aggregate conditional volatility ("macro-volatility") and the cross-sectional dispersion of employment growth ("micro-volatility") are countercyclical. Moreover, employment growth is negatively skewed in the cross section and time series, while TFP is not. The estimated response of employment growth to TFP innovations is su ciently concave to induce signi cant skewness as well as movements in volatility of employment growth.
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  • Working Paper

    Disentangling Labor Supply and Demand Shifts Using Spatial Wage Dispersion: The Case of Oil Price Shocks

    November 2013

    Working Paper Number:

    CES-13-57

    We separate changes in labor supply and demand through changes in higher-order moments of the wage distribution. We illustrate this idea in a study of the effects of oil price shocks, which generate a predictable labor demand adjustment across regions. Empirically, oil price shocks decrease average wages, particularly skilled wages, and increase wage dispersion, particularly unskilled wage dispersion. In a model with spatial energy intensity differences and nontradables, labor demand shifts, while explaining the response of average wages to oil price shocks, have counterfactual implications for the response of wage dispersion. Only shifts in labor supply can explain this latter fact.
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  • Working Paper

    Financial Frictions and Investment Dynamics in Multi-Plant Firms

    October 2013

    Working Paper Number:

    CES-13-56

    Using confidential Census data on U.S. manufacturing plants, we document that most of the dispersion in investment rates across plants occurs within rms instead of across firms. Between- firm dispersion is almost acyclical, but within- rm dispersion is strongly procyclical. To investigate the role of rms in the allocation of capital in the economy, we build a multi-plant model of the firm with frictions at both levels of aggregation. We show that external nancing constraints at the level of the rm can have important implications for plant-level investment dynamics. Finally, we present empirical evidence supporting the predictions of the model.
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  • Working Paper

    The Cyclicality of Productivity Dispersion

    May 2011

    Authors: Matthias Kehrig

    Working Paper Number:

    CES-11-15

    Using plant-level data, I show that the dispersion of total factor productivity in U.S. durable manufacturing is greater in recessions than in booms. This cyclical property of productivity dispersion is much less pronounced in non-durable manufacturing. In durables, this phenomenon primarily reflects a relatively higher share of unproductive firms in a recession. In order to interpret these findings, I construct a business cycle model where production in durables requires a fixed input. In a boom, when the market price of this fixed input is high, only more productive firms enter and only more productive incumbents survive, which results in a more compressed productivity distribution. The resulting higher average productivity in durables endogenously translates into a lower average relative price of durables. Additionally, my model is consistent with the following business cycle facts: procyclical entry, procyclical aggregate total factor productivity, more procyclicality in durable than non-durable output, procyclical employment and countercyclicality in the relative price of durables and the cross section of stock returns.
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