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Appendix for Financial Frictions and Fluctuations in Volatility
This appendix contains five sections. Section 1 provides details for the comparative statics exercise performed in the simple example. Section 2 discusses extending the model to allow firms to default on the wages for managers. Section 3 describes the firm-level and aggregate data. Section 4 contains the details of the computational algorithm. Finally, Section 5 reports the results for our model with a lower labor elasticity.
Working Paper
Insurance in Human Capital Models with Limited Enforcement
This paper develops a tractable human capital model with limited enforceability of contracts. The model economy is populated by a large number of long-lived, risk-averse households with homothetic preferences who can invest in risk-free physical capital and risky human capital. Households have access to a complete set of credit and insurance contracts, but their ability to use the available financial instruments is limited by the possibility of default (limited contract enforcement). We provide a convenient equilibrium characterization that facilitates the computation of recursive equilibria ...
Working Paper
Human Capital Risk, Contract Enforcement, and the Macroeconomy
We use data from the Survey of Consumer Finance and Survey of Income Program Participation to show that young households with children are under-insured against the risk that an adult member of the household dies. We develop a tractable macroeconomic model with human capital risk, age-dependent returns to human capital investment, and endogenous borrowing constraints due to the limited pledgeability of human capital (limited contract enforcement). We show analytically that, consistent with the life insurance data, in equilibrium young households are borrowing constrained and under-insured ...
Working Paper
Idiosyncratic Investment Risk and Business Cycles
I show that, due to imperfect risk sharing, aggregate shocks to uncertainty about idiosyncratic return on investment generate economic contractions with elevated risk premia and a decrease in the risk-free rate. I present a tractable real business cycle model in which firms experience idiosyncratic shocks, to which managers are at least partially exposed; the distribution of these shocks is time-varying and stochastic. I show that the path for aggregate quantities, the price of physical capital, and the equity premium are the same as in a model without idiosyncratic risk, but with ...
Working Paper
Mixed Signals: Investment Distortions with Adverse Selection
We study how adverse selection distorts equilibrium investment allocations in a Walrasian credit market with two-sided heterogeneity. Representative investor and partial equilibrium economies are special cases where investment allocations are distorted above perfect information allocations. By contrast, the general setting features a pecuniary externality that leads to trade and investment allocations below perfect information levels. The degree of heterogeneity between informed agents' type governs the direction of the distortion. Moreover, contracts that complete markets dampen the impact ...
Working Paper
Credit Default Swaps in General Equilibrium: Spillovers, Credit Spreads, and Endogenous Default
This paper highlights two new effects of credit default swap markets (CDS) in a general equilibrium setting. First, when firms' cash flows are correlated, CDSs impact the cost of capital{credit spreads{and investment for all firms, even those that are not CDS reference entities. Second, when firms internalize the credit spread changes, the incentive to issue safe rather than risky bonds is fundamentally altered. Issuing safe debt requires a transfer of profits from good states to bad states to ensure full repayment. Alternatively, issuing risky bonds maximizes profits in good states at the ...
Working Paper
Bank Liquidity and Capital Regulation in General Equilibrium
We develop a nonlinear dynamic general equilibrium model with a banking sector and use it to study the macroeconomic impact of introducing a minimum liquidity standard for banks on top of existing capital adequacy requirements. The model generates a distribution of bank sizes arising from differences in banks' ability to generate revenue from loans and from occasionally binding capital and liquidity constraints. Under our baseline calibration, imposing a liquidity requirement would lead to a steady-state decrease of about 3 percent in the amount of loans made, an increase in banks' holdings ...
Working Paper
Optimal Time-Consistent Taxation with Default
We study optimal time-consistent distortionary taxation when the repayment of government debt is not enforceable. The government taxes labor income or issues noncontingent debt in order to finance an exogenous stream of stochastic government expenditures. The government can repudiate its debt subject to some default costs, thereby introducing some state-contingency to debt. We are motivated by the fact that domestic sovereign default is an empirically relevant phenomenon, as Reinhart and Rogoff (2011) demonstrated. Optimal policy is characterized by two opposing incentives: an incentive to ...
Working Paper
Optimal taxation and debt with uninsurable risks to human capital accumulation
We consider an economy where individuals face uninsurable risks to their human capital accumulation and study the problem of determining the optimal level of linear taxes on capital and labor income together with the optimal path of the debt level. We show both analytically and numerically that in the presence of such risks it is beneficial to tax both labor and capital income and to have positive government debt.
Working Paper
Constrained inefficiency and optimal taxation with uninsurable risks
When individuals' labor and capital income are subject to uninsurable idiosyncratic risks, should capital and labor be taxed, and if so, how? In a two-period general equilibrium model with production, we derive a decomposition formula of the welfare effects of these taxes into insurance and distribution effects. This method allows us to determine how the sign of the optimal taxes on capital and labor depends on the nature of the shocks, the degree of heterogeneity among consumers' income, and the way in which the tax revenue is used to provide lump sum transfers to consumers. When shocks ...