Skip to main content
Log in

Account-level analytic hierarchical mixing modeling for credit risk of Chinese Government financing vehicle portfolios

  • Published:
Empirical Economics Aims and scope Submit manuscript

Abstract

Traditional credit risk measurement models, requiring fair amounts of default debts, have trouble in measuring the true default probability of Government financing vehicle (GFVs) loans in China. In this study, an analytic hierarchical mixing model (AHMM) was proposed to estimate the real states of Chinese GFVs with little default observations. AHMM outputs abstract risk indices for each loan based on the account-level GFV data, mapped to the probability of default by a calibration curve for loan decision, dynamic risk control, and stress testing. Furthermore, we also applied municipal bond data from the U.S. to AHMM and found that the accuracy ratio was 0.89 for the U.S. data and 0.84 for the Chinese data. The fitting error range based on U.S. data is [− 0.07 0.117], which is significantly lower than the Chinese GFV data, [− 0.10 0.2115]. Thus, although AHMM could be a credit risk model with few default observations, it works better on data with more default observations. The methodology in this study can be used on aggregate data to evaluate the entire Chinese GFV portfolio and thus bring a clear sovereign solvency picture to regulators and investors.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  • Alonso JA, Lamata MT (2006) Consistency in the analytic hierarchy process: a new approach. Int J Uncertain Fuzz Knowl Based Syst 14:445–459

    Article  Google Scholar 

  • Altman E, Rijken A (2004) How rating agencies achieve rating stability. J Bank Finance 28:2679–2714

    Article  Google Scholar 

  • Annex F (2010) Government credit ratings and Governemnt budget. China economics research 784–791

  • Basel Committee on Banking Supervision (BCBS) (2004) International convergence of capital measurement and capital standards: a revised framework. https://www.bis.org/publ/bcbs128.htm

  • Berg A, Sachs J (1988) The debt crisis: structural explanations of country performance. NBER Working Papers 2607, National Bureau of Economic Research, Inc. https://ideas.repec.org/p/nbr/nberwo/2607.html

  • Bessembinder H, Spatt C, Venkataraman K (2020) A survey of the microstructure of fixed-income markets. J Finance Quant Anal 55:1–45. https://doi.org/10.1017/S0022109019000231

    Article  Google Scholar 

  • Bohn H (1995) The sustainability of budget deficits in a stochastic economy. J Money Credit Bank 27:257–272

    Article  Google Scholar 

  • Cantor R, Packer F (1996) Determinants and impact of sovereign credit ratings. Econ Policy Rev 2:37–52

    Google Scholar 

  • Chalk N (1998) Fiscal sustainability with non-renewable resources. IMF Working Paper 98/26. https://www.imf.org/external/pubs/ft/wp/wp9826.pdf

  • Chen C, Kriz KA, Wang Q (2016) How does the health of transportation infrastructure affect state credit ratings? an empirical analysis. Public Finance Rev 44:660–680

    Article  Google Scholar 

  • Chen B, Tian Q, Li F (2021) Risk prevention countermeasures of local government financing platform. China Finance

  • Corsetti G, Nouriel R (1991) Fiscal deficits public debt and government solvency: evidence from OECD countries. J Jpn Int Econ 5:35

    Article  Google Scholar 

  • Cui NX, Yang T, Zhang Y (2021) Yingxuan local government debt risk status and solutions. China Mark

  • Demirci I, Huang J, Sialm C (2019) Government debt and corporate leverage: international evidence. J Finance Econ 133:337–356

    Article  Google Scholar 

  • Denison DV, Yan W, Zhao Z (2007) Is management performance a factor in municipal bond credit ratings? the case of Texas school districts. Public Budg Finance 27:86–98

    Article  Google Scholar 

  • Dove JA (2016) Do fiscal constraints prevent default? historical evidence from U.S. municipalities. Econ Gov 17:185–209

    Article  Google Scholar 

  • Duffie D, Pedersen LH, Singleton KJ (2003) Modeling sovereign yield spreads: a case study of Russian debt. J Finance 58:119–159

    Article  Google Scholar 

  • Fan H, Lu X (2014) Analysis of internal credit risk rating method. China Finance

  • François P, Hübner G, Sibille JR (2011) A structural balance sheet model of sovereign credit risk finance. Finance 2:137–165

    Google Scholar 

  • Geyer A, Kossmeier S, Pichler S (2004) Measuring systematic risk in EMU government yield spreads. Rev Finance 8:171–197

    Article  Google Scholar 

  • Giacomini R, Rossi BM (2016) Model comparisons in unstable environments. Int Econ Rev 57:369–392

    Article  Google Scholar 

  • Gordy MB (2000) A comparative anatomy of credit risk models. J Bank Finance 24:119–149

    Article  Google Scholar 

  • Grizzle C (2010) The impact of budget stabilization funds on state general obligation bond ratings. Public Budg Finance 30:95–111

    Article  Google Scholar 

  • Guitouni A, Martel J (1998) Tentative guidelines to help choosing an appropriate MCDA method. Eur J Opl Res 109:501–521

    Article  Google Scholar 

  • Guo P (2018) Risk and prevention of local government financing platform. Cooperative Econ Technol

  • Hemming R, Murray P (2002) A framework for assessing fiscal vulnerability. IMF Working Paper 00/52. https://www.imf.org/en/Publications/WP/Issues/2016/12/30/A-Framework-for-Assessing-Fiscal-Vulnerability-3489

  • Hemming R, Nigel C (2000) Assessing fiscal sustainability in theory and practice IMF Working Paper 00/81. https://www.imf.org/external/pubs/ft/wp/2000/wp0081.pdf

  • Jayakumar V, Raju R, Mariappan C, Ravivikram I (2010) An analytic hierarchical approach to decision making for selection of engineering colleges in Tamil Nadu. IUP J Oper Manag 9:16–22

    Google Scholar 

  • Jeanneret A (2015) The dynamics of sovereign credit risk. J Finance Quant Anal 50:963–985

    Article  Google Scholar 

  • Jeanneret A (2008) A structural model for sovereign credit risk. Working Paper, Harvard University, Swiss Finance Institute, and University of Lausanne. https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.577.5789&rep=rep1&type=pdf

  • Jimenez BS (2011) Management quality and state bond ratings: exploring the links between public management and fiscal outcomes. Int J Public Adm 34:783–799

    Article  Google Scholar 

  • Johnson CL, Kriz KA (2005) Fiscal institutions credit ratings and borrowing costs. Public Budg Finance 25:84–103

    Article  Google Scholar 

  • Karminsky A, Peresetsky A (2009) Ratings as measure of financial risk: eution function and usage. J New Econ Assoc 86–102. https://ideas.repec.org/a/nea/journl/y2009i1-2p86-102.html

  • Kornyshova E, Salinesi C (2007) Selecting MCDM techniques: State of the art. In: Proceedings of the international IEEE symposium on computational intelligence in multi-criteria decision-making, 1–5 April 2007, Honolulu, Hawaii. https://doi.org/10.1109/MCDM.2007.369412

  • Krueger S, Walker RW (2008) Divided government political turnover and state bond ratings. Public Finance Rev 36:259–286

    Article  Google Scholar 

  • Li X, Zuo Z (2012) Credit risk of investment and financing platform companies and local government credit disorder—from the perspective of law. J Beijing Inst Admin

  • Liang Q, Hao Y (2019) Local government debt replacement and macroeconomic risk mitigation research. Econ Res J 54:18–32

    Google Scholar 

  • Liu F, Kalotay E, Truck S (2018) Assessing sovereign default risk: a bottom-up approach. Econ Modell 70:525–542

    Article  Google Scholar 

  • Longstaff FA, Pan J, Pedersen LH, Singleton KJ (2011) How sovereign is sovereign credit risk? Am Econ J Macroecon 3:75–103

    Article  Google Scholar 

  • Ma N, Yang B, Ibao HC (2011) Research on progress of fuzzy cognitive map. Comput Sci 38:23–27

    Google Scholar 

  • Manasse P, Roubini N, Schimmelepfenning A (2003) Predicting sovereign debt crises. IMF working paper series WP/03/221 2003. https://www.imf.org/external/pubs/ft/wp/2003/wp03221.pdf

  • Marlowe J (2007) Much ado about nothing? the size and credit quality implications of municipal other postemployment benefit liabilities. Public Budg Finance 27:104–131

    Article  Google Scholar 

  • Martell CR, Kioko SN, Moldogaziev T (2013) Impact of unfunded pension obligations on credit quality of state governments. Public Budg Finance 33:24–54

    Article  Google Scholar 

  • Palumbo  G,  Zaporowski M (2012). Determinants of Municipal Bond Ratings for General-Purpose Governments: An Empirical Analysis. Public Budgeting & Finance. https://doi.org/10.1111/j.1540-5850.2011.01009.x

  • Pluto K, Tasche D (2006) Estimating probabilities of default for low default portfolios. In: Engelmann B, Rauhmeier R (eds) Basel II risk parameters. Springer, Berlin, Heidelberg, pp 79–103. https://doi.org/10.1007/3-540-33087-9_5

    Chapter  Google Scholar 

  • Reinhart CM (2002) Default currency crises and sovereign credit ratings. World Bank Econ Rev 16:151–170

    Article  Google Scholar 

  • Remolona EM, Scatigna M, Wu E (2008) A ratings-based approach to measuring sovereign risk. Int J Finance Econ 13:26–39

    Article  Google Scholar 

  • Roubini N (2001) Debt sustainability: how to assess whether a country is insolvent. Stern School of Business, New York University. http://people.stern.nyu.edu/nroubini/papers/debtsustainability.pdf

  • Rozada GM, Yeyati E (2008) Global factors and emerging market spreads. Econ J 118:1917–1936

    Article  Google Scholar 

  • Saaty T (1977) A scaling method for priorities in hierarchical structures. J Math Psychol 15:234–281. https://doi.org/10.1016/0022-2496(77)90033-5

    Article  Google Scholar 

  • Sang B (2020) Application of genetic algorithm and BP neural network in supply chain finance under information sharing. J Comput Appl Math 384:113170. https://doi.org/10.1016/j.cam.2020.113170

    Article  Google Scholar 

  • Shi F (2011) Fixed assets investments and the future long-term returns from investment. China economics research, June

  • Simoes J, Ferreira F, Peris-Ortiz M, Ferreira J (2020) Cognition-driven framework for the evaluation of startups in the digital economy. Manag Decis 58:2327–2347

    Article  Google Scholar 

  • Standard & Poor’s (2002) Sovereign defaults: Moving higher again in 2003? https://www4.stat.ncsu.edu/~bloomfld/RatingsPerformance.pdf

  • Van der Burgt M (2019) Calibration and mapping of credit scores by riding the cumulative accuracy profile. J Credit Risk 15:1–25

    Article  Google Scholar 

  • Wang M, Ku H (2021) Utilizing historical data for corporate credit rating assessment. Expert Syst Appl 165:113925

    Article  Google Scholar 

  • Wang G, Li Y (2020) Influencing factors and internal logic of local government debt risk—based on fsQCA analysis of platform default cases. Nanjing Soc Sci 10

  • Yan X, Xing J (2018) Local government investment preference credit allocation structure and monetary policy transmission efficiency. Financ Superv Res

  • Yoon B & Jetter A (2016) Comparative analysis for Fuzzy Cognitive Mapping. 1897–1908. https://doi.org/10.1109/PICMET.2016.7806755.

  • Yue VZ (2010) Sovereign default and debt renegotiation. J Int Econ 80:176–187

    Article  Google Scholar 

  • Zhang J, Wang Y, Zhang Y (2019) Research on risk management of local government financing platform from stakeholder. Perspect Manag Rev 31:61

    Google Scholar 

  • Zhao Q (2011) A study on financing and financing platform of local government in China. Econ Res Ref 10:2–9

    Google Scholar 

  • Zhao Z, Guo H (2011) Management capacity and state municipal bond ratings: evidence with the GPP grades. Am Rev Public Adm 41:562–576

    Article  Google Scholar 

  • Zhou J (2020) Research review on local government debt. Explor Financ Theory

  • Zhao C, Wang D, Jennfer D (2000) The tests of outstanding debt and the tax burden on GDP effects. Acedemical Domain 453–478,

Download references

Funding

This study is funded by Social science foundation in Sichuan, Grant No. SC20TJ022.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Chang Liu.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Appendix

Appendix

See Tables 

Table 7 Economic motivations and literature resources for Chinese Data

7,

Table 8 Economic motivations and literature resources for U.S. Data

8,

Table 9 Mapping procedures pros and cons

9 and

Table 10 Our model comparison between Basel II and Basel III

10.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Liu, C., Zhang, B., Wang, X. et al. Account-level analytic hierarchical mixing modeling for credit risk of Chinese Government financing vehicle portfolios. Empir Econ 62, 2771–2798 (2022). https://doi.org/10.1007/s00181-021-02113-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00181-021-02113-4

Keywords

Navigation