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Stationary equilibria in asset-pricing models with incomplete markets and collateral


Kübler, Felix; Schmedders, Karl (2003). Stationary equilibria in asset-pricing models with incomplete markets and collateral. Econometrica, 71(6):1767-1795.

Abstract

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.

Abstract

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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38 citations in Web of Science®
43 citations in Scopus®
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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:03 Faculty of Economics > Department of Banking and Finance
Dewey Decimal Classification:330 Economics
Language:English
Date:2003
Deposited On:29 May 2012 08:39
Last Modified:05 Apr 2016 15:22
Publisher:Wiley-Blackwell
ISSN:0012-9682
Publisher DOI:https://doi.org/10.1111/1468-0262.00469
Official URL:http://www.econometricsociety.org/abstract.asp?ref=0012-9682&vid=71&iid=6&aid=469&s=-9999
Related URLs:http://www.zora.uzh.ch/9622/
Other Identification Number:merlin-id:6368

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