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The Granular Origins of Aggregate Fluctuations

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TLDR
This article showed that idiosyncratic firm-level fluctuations can explain an important part of aggregate shocks, and provide a micro-foundation for aggregate productivity shocks, arguing that individual firm shocks average out in aggregate.
Abstract
This paper proposes that idiosyncratic firm-level fluctuations can explain an important part of aggregate shocks, and provide a microfoundation for aggregate productivity shocks. Existing research has focused on using aggregate shocks to explain business cycles, arguing that individual firm shocks average out in aggregate. I show that this argument breaks down if the distribution of firm sizes is fat-tailed, as documented empirically. The idiosyncratic movements of the largest 100 firms in the US appear to explain about one third of variations in output and the Solow residual. This "granular" hypothesis suggests new directions for macroeconomic research, in particular that macroeconomic questions can be clarified by looking at the behavior of large firms. This paper's ideas and analytical results may also be useful to think about the fluctuations of other economic aggregates, such as exports or the trade balance.

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References
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Time to build and aggregate fluctuations

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TL;DR: In this paper, a comprehensive introduction to probability theory covering laws of large numbers, central limit theorem, random walks, martingales, Markov chains, ergodic theorems, and Brownian motion is presented.
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