Abstract
Enterprise group’s credit risk has obviously infectious character because of its large number of companies, complex share relation and invisible associated business. The number of low credit rating companies within enterprise group and its variance directly reflects credit contagion trend in group. Combined with graph theory and epidemiological point of view, this paper firstly analyzed credit risk contagion process in group, then proposed a stochastic credit contagion model for enterprise group and gave an example for its application. In order to get the way of controlling infection, we took sensitivity analysis for principal parameters. Our results showed that reducing risk correlation degree and risk inflectional coefficient was effective to prevent credit contagion.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Wu GM, Sheng ZH (2001) Fuzzy dynamic boundary of enterprises and business groups. J Manage Sci China 4:9–13
Yao J, Lv Y, Lan HL (2005) An empirical study of enterprise group’s diversification. Structure and performance during the transition period, vol 35. Press of Economic Science, Beijing, pp 723–732
Khamma T, Yishay Y (2007) Business groups in emerging markets: paragons or parasites. J Econ Literature 45:331–372
Chen L, Zhou ZF (2009) A research based shareholding ratio on default contagion between parent and subsidiary company in an enterprise group. J Ind Eng Eng Manage 23:80–84
Chen L, Zhou ZF (2010) The research on measure default correlation of related corporations controlled by an enterprise group. Chinese J Manage Sci 18:159–164
Davis M, Lo V (2000) Modelling default correlation in bond portfolios, vol 23. Working paper, Imperial College, London, pp 2–6
Davis M, Lo V (2001) Infectious defaults. Quant Finance 1:382–387
David XL (2000) On default correlation: a Copula function approach. J Fixed Income 9:43–54
Giesecke K, Stefan W (2004) Cyclical correlations, credit contagion, and portfolio losses. J Bank Finance 28:3009–3036
Giesecke K (2006) Credit contagion and aggregate losses. J Econ Dyn Control 30:741–767
Schönbucher PJ (2003) Information-driven default contagion. Working Paper, ETH 13:52–55
Watts DJ, Strogatz SH (1998) Collective dynamics of small-world’s networks. Nature 393:409–410
Vynnycky E, White RW (2010) An introduction to infectious disease modelling, vol 11. Oxford University Press, Oxford, pp 368–370
Mahony CO (2006) The numerical analysis of stochastic differential equations. Avaliable fromhttp://citeseerx.ist.psu.edu/viewdoc/summary?. doi:10.1.1.117.8043
Acknowledgments
This research is supported by National Natural Science Foundation of China (70971015, 11061041), Natural Science Fund of Yunnan Province (2010ZC063, 2010ZC079) and Scientific Research Foundation of Yunnan Province Education Office (2011C109).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag London
About this paper
Cite this paper
Xiao, L., Li, L., Xiao, J. (2013). Stochastic Credit Contagion Model for Enterprise Group. In: Zhong, Z. (eds) Proceedings of the International Conference on Information Engineering and Applications (IEA) 2012. Lecture Notes in Electrical Engineering, vol 216. Springer, London. https://doi.org/10.1007/978-1-4471-4856-2_32
Download citation
DOI: https://doi.org/10.1007/978-1-4471-4856-2_32
Published:
Publisher Name: Springer, London
Print ISBN: 978-1-4471-4855-5
Online ISBN: 978-1-4471-4856-2
eBook Packages: EngineeringEngineering (R0)