×

Systemic risk in networks with a central node. (English) Zbl 1443.91315

Summary: We examine the effects on a financial network of clearing all contracts though a central node (CN), thereby transforming the original network into a star-shaped one. The CN is capitalized with external equity and a guaranty fund. We introduce a structural systemic risk measure that captures the shortfall of end users. We show that it is possible to simultaneously improve the expected surplus of the banks and the CN as well as decrease the shortfall of end users. We determine the CN’s equity and guaranty fund policies as a Nash bargaining solution. We illustrate our findings on simulated credit default swap networks compatible with aggregate market data.

MSC:

91G45 Financial networks (including contagion, systemic risk, regulation)
91B26 Auctions, bargaining, bidding and selling, and other market models
Full Text: DOI

References:

[1] D. Acemoglu, A. Ozdaglar, and A. Tahbaz-Salehi (2015), Systemic risk and stability in financial networks, Amer. Econom. Rev., 105, pp. 564-608.
[2] V. V. Acharya, L. H. Pedersen, T. Philippon, and M. P. Richardson (2010), Measuring systemic risk, presented at AFA 2011 Denever Meetings.
[3] T. Adrian and M. K. Brunnermeier (2011), Covar, Technical report, National Bureau of Economic Research.
[4] H. Amini, D. Filipović, and A. Minca (2016a), To fully net or not to net: Adverse effects of partial multilateral netting, Oper. Res., 64, pp. 1135-1142. · Zbl 1378.91130
[5] H. Amini, D. Filipović, and A. Minca (2016b), Uniqueness of equilibrium in a payment system with liquidation costs, Oper. Res. Lett., 44, pp. 1-5. · Zbl 1408.91244
[6] Y. Armenti and S. Crépey, (2017). Central clearing valuation adjustment, SIAM J. Financial Math., 8, pp. 274-313. · Zbl 1367.91185
[7] F. Bellini, B. Klar, A. Müller, and E. R. Gianin (2014), Generalized quantiles as risk measures, Insurance Math. Econom., 54, pp. 41-48. · Zbl 1303.91089
[8] F. Biagini, J.-P. Fouque, M. Frittelli, and T. Meyer-Brandis (2019), A unified approach to systemic risk measures via acceptance sets, Math. Finance, 29, pp. 329-367. · Zbl 1411.91633
[9] BIS (2010), BIS Quarterly Review, December 2010.
[10] M. K. Brunnermeier, and P. Cheridito (2014), Measuring and Allocating Systemic Risk, http://ssrn.com/abstract=2372472.
[11] A. Capponi and W. A. Cheng (2015), Central clearing: Why are collateral levels so extreme?, SSRN 2669304.
[12] A. Capponi, W.-S. A. Cheng, and S. Rajan (2014), Systemic risk: The dynamics under central clearing, SSRN.
[13] C. Chen, G. Iyengar, and C. C. Moallemi (2013), An axiomatic approach to systemic risk, Management Sci., 59, pp. 1373-1388.
[14] K. Chen, M. Fleming, J. Jackson, A. Li, and A. Sarkar (2011), An Analysis of CDS Transactions: Implications for Public Reporting, Staff Report 517, Federal Reserve Bank of New York.
[15] R. Cifuentes, G. Ferrucci, and H. Shin (2005), Liquidity risk and contagion, J. Eur. Econom. Assoc., 3, pp. 556-566.
[16] R. Cont and A. Minca (2016), Credit default swaps and systemic risk, Ann. Oper. Res., 217, pp. 523-547. · Zbl 1406.91471
[17] D. Duffie and H. Zhu (2011), Does a central clearing counterparty reduce counterparty risk?, Review of Asset Pricing Studies, 1, pp. 74-95.
[18] L. Eisenberg and T. H. Noe (2001), Systemic risk in financial systems, Management Science, 47, pp. 236-249. · Zbl 1232.91688
[19] Z. Feinstein, B. Rudloff, and S. Weber (2015), Measures of systemic risk, forthcoming in SIAM Journal on Financial Mathematics. · Zbl 1407.91284
[20] P. Glasserman, C. C. Moallemi, and K. Yuan (2016), Hidden illiquidity with multiple central counterparties, Operations Research, 64, pp. 1143-1158. · Zbl 1378.91120
[21] P. Glasserman and H. P. Young (2015), How likely is contagion in financial networks?, Journal of Banking & Finance, 50, pp. 383-399.
[22] M. Kusnetsov and L. A. Veraart (2019), Interbank clearing in financial networks with multiple maturities, SIAM Journal on Financial Mathematics, 10, pp. 37-67. · Zbl 1411.91644
[23] A. Minca (2011), Mathematical Modeling of Default Contagion, Ph.D. thesis, Université Pierre et Marie Curie-Paris VI.
[24] OCC (2019), Quarterly Report on Bank Trading and Derivatives Activities, First Quarter 2019, Office of the Comptroller of the Currency.
[25] L. Rogers and L. A. Veraart (2013), Failure and rescue in an interbank network, Management Sci., 59, pp. 882-898.
[26] A. E. Roth (1979), Axiomatic Models of Bargaining, Lecture Notes in Econom. Math. Systems 170, Springer-Verlag, Berlin. · Zbl 0408.90087
[27] R. M. Stulz (2010), Credit default swaps and the credit crisis, J. Econom. Perspectives, 24, pp. 73-92.
[28] S. Weber and K. Weske (2017), The joint impact of bankruptcy costs, fire sales and cross-holdings on systemic risk in financial networks, Probability Uncertainty Quantitative Risk, 2, 9. · Zbl 1432.91133
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.