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Optimal Collateralized Contracts

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Abstract

We examine the role of collateral in a dynamic model of optimal credit contracts in which a borrower values both housing and non-housing consumption. The borrower’s private information about his income is the only friction. An optimal contract is collateralized when in some state, some portion of the borrower’s net worth is forfeited to the lender. We show that optimal contracts are always collateralized. The total value of forfeited assets is decreasing in income, highlighting the role collateral as a deterrent to manipulation. Some assets, those that generate consumable services will necessarily be collateralized while others may not be. Endogenous default arises when the borrower’s initial wealth is low, as with subprime borrowers, and/or his future earnings are highly variable.

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  • Dan Cao & Roger Lagunoff, 2018. "Optimal Collateralized Contracts," Working Papers gueconwpa~18-18-14, Georgetown University, Department of Economics.
    • Handle: RePEc:geo:guwopa:gueconwpa~18-18-14
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    Keywords

    optimal contract; asymmetric information; collateral; forfeiture; collateralized contract;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law
    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets
    • D14 - Microeconomics - - Household Behavior - - - Household Saving; Personal Finance
    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages
    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies

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