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Heterogeneous Agent Trade
This paper studies the implications of household heterogeneity for trade. I develop a model where household heterogeneity is induced via incomplete markets and results in heterogeneous price elasticities. Conditional on exposure to trade, heterogeneous price elasticities imply that different households value price changes differently, and thus rich and poor households experience different gains from trade. I calibrate the model to match bilateral trade flows and micro-facts about household-level expenditure patterns and elasticities. I find gains from trade that are pro-poor and that the ...
Working Paper
Insurance and Inequality with Persistent Private Information
This paper studies the implications of optimal insurance provision for long-run welfare and inequality in economies with persistent private information. We consider a model in which a principal insures an agent whose privately observed endowment follows an ergodic, finite Markov chain. The optimal contract always induces immiseration: the agent’s consumption and utility decrease without bound. Under positive serial correlation, the optimal contract also features backloaded high-powered incentives: the sensitivity of the agent’s utility with respect to his report increases without bound. ...
Report
Optimal Progressivity with Age-Dependent Taxation
This paper studies optimal taxation of labor earnings when the degree of tax progressivity is allowed to vary with age. We analyze this question in a tractable equilibrium overlapping-generations model that incorporates a number of salient trade-offs in tax design. Tax progressivity provides insurance against ex-ante heterogeneity and earnings uncertainty that missing markets fail to deliver. However, taxes distort labor supply and human capital investments. Uninsurable risk cumulates over the life cycle, and thus the welfare gains from income compression via progressive taxation increase ...
Working Paper
Time-varying Volatility and the Power Law Distribution of Stock Returns
While many studies find that the tail distribution of high frequency stock returns follow a power law, there are only a few explanations for this finding. This study presents evidence that time-varying volatility can account for the power law property of high frequency stock returns. The power law coefficients obtained by estimating a conditional normal model with nonparametric volatility show a striking correspondence to the power law coefficients estimated from returns data for stocks in the Dow Jones index. A cross-sectional regression of the data coefficients on the model-implied ...
Working Paper
Enduring Relationships in an Economy with Capital and Private Information
We study efficient risk sharing in a model where agents operate linear production technologies with private information about idiosyncratic productivity. Capital is the sole factor of production, and accumulable. We establish a time-invariant, one-to-one mapping between the capital allocated to an agent and his lifetime utility entitlement. The mapping implies properties that are distinct from those in models with private information about endowments. In contrast to the latter, the value of the risk-sharing arrangement in our model always remains above the autarky value. There is no need for ...
Working Paper
The Role of Government and Private Institutions in Credit Cycles in the U.S. Mortgage Market
The distribution of combined loan-to-value ratios (CLTVs) for purchase mortgages has been remarkably stable in the U.S. over the last 25 years. But the source of high-CLTV loans changed during the housing boom of the 2000s, with private securitization replacing FHA and VA loans directly guaranteed by the government. This substitution holds within ZIP codes, properties, and borrower types. Furthermore, the two groups exhibit similar delinquency rates. These findings suggest credit expanded predominantly through the increase in asset values rather than a relaxation of CLTV constraints, which ...
Working Paper
Insurance and Inequality with Persistent Private Information
We study optimal insurance contracts for an agent with Markovian private information. Our main results characterize the implications of constrained efficiency for long-run welfare and inequality. Under minimal technical conditions, there is Absolute Immiseration: in the long run, the agent?s consumption and utility converge to their lower bounds. When types are persistent and utility is unbounded below, there is Relative Immiseration: low-type agents are immiserated at a faster rate than high-type agents, and ?pathwise welfare inequality? grows without bound. These results extend and ...
Working Paper
The Macroeconomics of Irreversibility
We study aggregate capital dynamics in an investment model with idiosyncratic productivity shocks, fixed capital adjustment costs, and irreversibility driven by a wedge between capital purchase and resale prices. We derive sufficient statistics capturing the role of investment frictions on aggregate capital fluctuations, measure these statistics with investment microdata, and exploit them to discipline the capital price wedge. Irreversibility doubles the persistence of capital fluctuations and is crucial for reconciling micro-level investment behavior with macroeconomic propagation.
Working Paper
Inflation at the Household Level: Web Appendix
This appendix contains additional results on using scanner data to estimate inflation rates at the household level. There are three sections. Section 1 shows cross-sectional distributions of Fisher and Paasche inflation rates. Section 2 shows the evolution over time of measures of dispersion of Fisher and Paasche inflation rates. Section 3 shows cross-sectional distributions of two-year inflation rates measured with Fisher and Paasche indexes.
Working Paper
Insurance and Inequality with Persistent Private Information
We study the implications of optimal insurance provision for long-run welfare and inequality in economies with persistent private information. A principal insures an agent whose private type follows an ergodic, finite-state Markov chain. The optimal contract always induces immiseration: the agent’s consumption and utility decrease without bound. Under positive serial correlation, it also backloads high-powered incentives: the sensitivity of the agent’s utility with respect to his reports increases without bound. These results extend—and help elucidate the limits of—the hallmark ...