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Contribution Details

Type Journal Article
Scope Discipline-based scholarship
Title Stationary equilibria in asset-pricing models with incomplete markets and collateral
Organization Unit
Authors
  • Felix Kübler
  • Karl Schmedders
Item Subtype Original Work
Refereed Yes
Status Published in final form
Language
  • English
Journal Title Econometrica
Publisher Wiley-Blackwell
Geographical Reach international
ISSN 0012-9682
Volume 71
Number 6
Page Range 1767 - 1795
Date 2003
Abstract Text We consider an infinite-horizon exchange economy with incomplete markets and collateral constraints. As in the two-period model of Geanakoplos and Zame (2002), households can default on their liabilities at any time, and financial securities are only traded if the promises associated with these securities are backed by collateral. We examine an economy with a single perishable consumption good, where the only collateral available consists of productive assets. In this model, competitive equilibria always exist and we show that, under the assumption that all exogenous variables follow a Markov chain, there also exist stationary equilibria. These equilibria can be characterized by a mapping from the exogenous shock and the current distribution of financial wealth to prices and portfolio choices. We develop an algorithm to approximate this mapping numerically and discuss ways to implement the algorithm in practice. A computational example demonstrates the performance of the algorithm and shows some quantitative features of equilibria in a model with collateral and default.
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Digital Object Identifier 10.1111/1468-0262.00469
Other Identification Number merlin-id:6368
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