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contagion
European Economic Review 48 (2004) 827 – 849 www.elsevier.com/locate/econbase Estimating bilateral exposures in the German interbank market: Is there a danger of contagion?
Christian Upper, Andreas Worms∗
Deutsche Bundesbank, Economics Department, Wilhelm-Epstein-Str. 14,
D-60431 Frankfurt am Main, Germany
Received 9 September 2003; accepted 20 December 2003

Abstract
Credit risk associated with interbank lending may lead to domino e ects, where the failure of one bank results in the failure of other banks not directly a ected by the initial shock. Recent work in economic theory shows that this risk of contagion depends on the precise pattern of interbank linkages. We use balance sheet information to estimate a matrix of bilateral credit relationships for the German banking system and test whether the breakdown of a single bank can lead to contagion. We ÿnd that in the absence of a safety net, there is considerable scope for contagion that could a ect a large proportion of the banking system. The ÿnancial safety net (in this case institutional guarantees for saving banks and cooperative banks) considerably reduces—but does not eliminate—the danger of contagion. Even so, the failure of a single bank could lead to the breakdown of up to 15% of the banking system in terms of assets. c 2003 Elsevier B.V. All rights reserved.
JEL classiÿcation: G21; G28
Keywords: Contagion; Interbank market; Regulation of banks

1. Introduction
Credit risk associated with interbank lending may lead to domino e ects, where the failure of a bank results in the failure of other banks even if the latter are not directly a ected by the initial shock. Recent work in economic theory shows that this risk of contagion depends on the precise pattern of interbank linkages. For example, in the model of Allen and Gale (2000) banks hold deposits with banks of other regions in


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References: Aghion, P., Bolton, P., Dewatripont, M., 2000. Contagious bank failures in a free banking system. European Economic Review 44, 713–718. Allen, F., Gale, D., 2000. Financial contagion. Journal of Political Economy 108 (1), 1–33. Altman, E., Kishore, V., 1996. Almost everything you wanted to know about recoveries on defaulted bonds. Angelini, P., Mariesca, G., Russo, D., 1996. Systemic risk in the netting system. Journal of Banking and Finance 20, 853–868. Blavarg, M., Nimander, P., 2002. Inter-bank exposures and systemic risk, Sveriges Riksbank. Economic Review 2, 19–45. Blien, U., Graef, F., 1991. Entropieoptimierungsverfahren in der empirischen Wirtschaftsforschung (Entropy optimization in empirical economic research) C. Upper, A. Worms / European Economic Review 48 (2004) 827 – 849 849 Cocco, J.F., Gomes, F.J., Martins, N.C., 2003. Lending relationships in the Interbank market, Mimeo. Deutsche Bundesbank, 1992. Deposit protection schemes in the Federal Republic of Germany. Monthly Report, July, pp Deutsche Bundesbank, 2000a. Longer-term trend in German credit institutions’ interbank operations. Monthly Report, January, pp Deutsche Bundesbank, 2000b. Deposit protection and investor compensation in Germany. Monthly Report, July, pp Elsinger, H., Lehar, A., Summer, M., 2003. Risk assessment for banking systems, Oesterreichische Nationalbank, Working Paper 79. Freixas, X., Parigi, B., Rochet, J.C., 2000. Systemic risk, Interbank relations and liquidity provision by the Central Bank Furÿne, C.H., 2003. Interbank exposures: Quantifying the risk of contagion. Journal of Money, Credit, and Banking 35 (1), 111–128. Humphrey, D.B., 1986. Payments ÿnality and the risk of settlement failure. In: Saunders, A., White, L.J James, C., 1991. The losses realized in bank failures. Journal of Finance 46, 1223–1242. Kaufman, G.G., 1994. Bank contagion: A review of the theory and evidence. Journal of Financial Services Research 8, 123–150. Rochet, J.-C., Tirole, J., 1996. Interbank lending and systemic risk. Journal of Money, Credit, and Banking 28, 733–762. Sheldon, G., Maurer, M., 1998. Interbank lending and systemic risk: An empirical analysis for Switzerland.

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