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Large Recessions, Debt and Heterogeneity

Paper Session

Saturday, Jan. 7, 2023 8:00 AM - 10:00 AM (CST)

Hilton Riverside, Eglington Winton
Hosted By: Econometric Society
  • Chair: Aubhik Khan, Ohio State University

Firm Debt and Default over the Pandemic and Recovery

In Hwan Jo
,
National University of Singapore
Aubhik Khan
,
Ohio State University
Tatsuro Senga
,
Queen Mary University of London
Julia K. Thomas
,
Ohio State University

Abstract

We study the effects of a pandemic in an economy where firms differ in their productivity, capital, and debt. Firms, facing idiosyncratic shocks, finance investment using noncontingent debt and their default risk rises with leverage. Households share consumption risk given differences in their health and employment status. Healthy individuals may work but experience a higher risk of infection which increases with the number of ill individuals. We show that a pandemic generates persistent aggregate dynamics. First, taking into account the distribution of health in the future, households reduce labor supply in an effort to restrain contagion. Decreases in consumption and employment in turn negatively affect firms’ earnings in equilibrium. Highly leveraged borrowers become more likely to default, exit rises, and the number of producers falls. Continuing firms with lower earnings find it harder to finance investment, raising the dispersion of resources. Aggregate productivity falls endogenously. The interaction between households and firms propagates the impact of the pandemic through changes in their distributions. We find that the recovery from a large shock that decreases household employment can be gradual and prolonged. As the pandemic ends, entry rises and the number of firms begins to return to its long-run level. However, entrants’ growth is restricted by the loan rates associated with high leverage and their level of capital, relative to productivity. This implies that a pandemic is followed by a slow economic recovery characterized by a gradual improvement in aggregate productivity.

Firm Heterogeneity, Leverage and the Aftermath of the Pandemic

Aubhik Khan
,
Ohio State University
Soyoung Lee
,
Bank of Canada

Abstract

The severe economic downturn brought on by Covid-19 saw large declines in production and employment across the distribution of firms. We argue that the high levels of indebtedness seen at the onset of the recession could have had persistent real effects on the recovery following the aftermath of the global pandemic. In a model of entrepreneurship with entry, exit and a time-varying distribution of production, we examine the effects of differences in initial leverage on the severity and duration of recessions. Entrepreneurs finance their businesses using loans subject to default risk. They hold liquid assets that serve as collateral; their debt is illiquid. Productive entrepreneurs without collateral cannot undertake high levels of investment given the effect of rising leverage on default risk and loan rates. This results in a misallocation of capital and labor. Misallocation rises after a severe downturn that worsens balance sheets in the absence of large-scale government intervention. Relative to a model with risk-neutral firms, the recession is worsened as entrepreneurs reduce investment to dampen the fall in their consumption. Balance sheets are further worsened, and an economic recovery is a gradual process as many borrowers struggle to fund capital spending. We find that the distribution of leverage has substantial implications for the speed of the recovery. When aggregate leverage is a third higher than its long run mean, a large negative TFP shock drives a sharp rise in default. This causes a pronounced and persistent reduction in the number of businesses which, in turn, reduces the endogenous component of aggregate total factor productivity. The subsequent economic recovery is slower; the half life of output rises from 7.5 years to 15 years. We have one of the first quantitative business cycle models with production heterogeneity where financial factors amplify large nonfinancial recessions.

Public Debt and Welfare in a Quantitative Schumpeterian Growth Model with Incomplete Markets

Marco Cozzi
,
University of Victoria

Abstract

This paper quantifies the welfare effects of counterfactual public debt policies using an endogenous growth model with incomplete markets. The economy features public debt, Schumpeterian growth, infinitely-lived agents, uninsurable income risk, and discount factor heterogeneity. Two versions of the model are specified, one with households holding equity in the group of innovating firms. The model is calibrated to the U.S. economy to match the degree of wealth inequality, the share of R&D expenditure in GDP, the firms' exit rate, the average growth rate, and other standard long-run targets. When comparing balanced growth paths, I find large long-run welfare gains in equilibria characterized by governments accumulating public wealth. In some parameterizations, the equilibrium response of the growth rate is modest. However, welfare effects decompositions show that the growth component is still an important determinant of the welfare gains in the equilibria characterized by public wealth. The version of the model without equity is computationally easier to solve, allowing to consider transitional dynamics. Taking into account the dynamic adjustment to the new long-run equilibrium shows that the transitional welfare costs are not large enough to change the sign of the welfare effects stemming from a change in public debt. I find that eliminating public debt would lead to a 1.7% increase in welfare, while moving to a debt/GDP ratio of 100% would entail a welfare loss of 0.8%.

The Persistence of Recessions with Incomplete Markets and Time-Varying Income Risk

Aubhik Khan
,
Ohio State University
Ben Lidofsky
,
Ohio State University

Abstract

TBD
JEL Classifications
  • D25 - Intertemporal Firm Choice: Investment, Capacity, and Financing
  • E62 - Fiscal Policy