Probability of Corporate Bankruptcy: Application to Portuguese Manufacturing Industry SMEs

  • Luís Pacheco Research on Economics, Management and Information Technologies (REMIT), Universidade Portucalense - Infante D. Henrique, Portugal
  • Mara Madaleno Unidade de Investigação em Governança, Competitividade e Políticas Públicas (GOVCOPP) Departamento de Economia, Gestão, Engenharia Industrial e Turismo, Universidade de Aveiro, Portugal
  • Pedro Correia Departamento de Economia, Gestão, Engenharia Industrial e Turismo (DEGEIT), Universidade de Aveiro, Portugal
  • Isabel Maldonado Research on Economics, Management and Information Technologies (REMIT), Universidade Portucalense - Infante D. Henrique, Portugal Unidade de Investigação em Governança, Competitividade e Políticas Públicas (GOVCOPP)
Keywords: Bankruptcy, manufacturing industry, SMEs, logit, financial ratios


This paper aims to develop a model for predicting corporate bankruptcy for SMEs in the Portuguese manufacturing industry where this question remains rather unaddressed. Using profitability, activity, liquidity, leverage, and solvency ratios, it was added the size and age variables, for a group of 208 firms, including 49 bankrupt firms and 159 active firms, during the years 2011 to 2015. The logit model allowed us to estimate a model with 82.3% of predictive capacity. The most important variables identified were profitability, solvency, and size. Estimations only with the data closest to the bankruptcy date improved predictive capacity. It is evidenced that financial and non-financial variables can predict bankruptcy probability. A possible future approach would be to analyze a larger sample. Also, a larger period could be considered, allowing to test either the effects of the 2007/8 crisis or the effects of the recent economic turmoil related to Covid-19. Important for both corporate managers and investors. Conclusions may be disclosed regarding the influence that economic turmoil certainly has on corporate defaults and bankruptcies allowing its extension to other countries. The contribution of this paper is to find the best specification for a bankruptcy prediction model applied to the Portuguese manufacturing industry SMEs. This paper also contributes to the existing literature by using non-financial variables and analyzing a sector still unexplored in Portugal, albeit its conclusions can be extended to other countries.


Abidin, J. Z., Abdullah, N. A. H., & Khaw, K. (2021). Predicting business failure for Malaysia SMEs in the hospitality industry. Advances in Economics, Business and Management Research, 161, 67-73.

Agarwal, V., & Taffler, R. (2008). Comparing the performance of market-based and accounting-based bankruptcy prediction models. Journal of Banking and Finance, 32(8), 1541-1551.

Agrawal, K., & Maheshwari, Y. (2019). Efficacy of industry factors for corporate default prediction. IIMB Management Review, 31(1), 71-77.

Alaka, H. A., Oyedele, L. O., Owolabi, H. A., Bilal, M., Ajayi, S. O., & Akinade, O. O. (2020). A framework for big data analytics approach to failure prediction of construction firms. Applied Computing and Informatics, 16(1/2), 207-222.

Almamy, J., Aston, J., & Ngwa, L. N. (2016). An evaluation of Altman's Z-score using cash flow ratio to predict corporate failure amid the recent financial crisis: Evidence from the UK. Journal of Corporate Finance, 36, 278-285.

Almansour, B. Y. (2015). Empirical model for predicting financial failure. American Journal of Economics, Finance and Management, 1(3), 113-124.

Altman, E. I. (1968). Financial ratios, discriminant analysis and the prediction of corporate bankruptcy. The Journal of Finance, 23(4), 589-609.

Altman, E. I., & Hotchkiss, E. (2006). Corporate financial distress and bankruptcy (3rd ed.). John Wiley and Sons Inc.

Altman, E. I., & Sabato, G. (2007). Modelling credit risk for SMEs: Evidence from the U.S. market. Abacus, 43(3), 332-357.

Altman, E. I., Haldeman, R. G., & Narayanan, P. (1977). ZETA analysis: A new model to identify bankruptcy risk of corporations. Journal of Banking and Finance, 1, 29-54.

Altman, E. I., Iwanicz‐Drozdowska, M., Laitinen, E. K., & Suvas, A. (2017). Financial distress prediction in an international context: A review and empirical analysis of Altman's Z‐Score Model. Journal of International Financial Management and Accounting, 28(2), 131-171.

Antunes, A. R., Prego, P., & Gonçalves, H. (2016). Firm default probabilities revisited. Economic Bulletin and Financial Stability Report Articles, 21-45.

Appiah, K. O. (2011). Predicting corporate failure and global financial crisis: Theory and implications. Journal of Modern Accounting and Auditing, 7(1), 38-47.

Araghi, M. K., & Makvandi, S. (2013). Comparing logit, probit and multiple discriminant analysis models in predicting bankruptcy of companies. Asian Journal of Finance and Accounting, 5(1), 48-60.

Arasti, Z. (2011). An empirical study on the causes of business failure in Iranian context. African Journal of Business Management, 5(17), 7488-7498.

Aziz, M., & Dar, H. (2006). Predicting corporate bankruptcy: Where we stand? Corporate Governance, 6, 18-33.

Balcaen, S., & Ooghe, H. (2006). 35 years of studies on business failure: An overview of the classic statistical methodologies and their related problems. The British Accounting Review, 38(1), 63-93.

Bărbuță-Mișu, N., & Madaleno, M. (2020). Assessment of bankruptcy risk of large companies: European countries evolution analysis. Journal of Risk and Financial Management, 13(3), 58.

Bartual, C., Garcia, F., Guijarro, F., & Moya, I. (2013). Default prediction of Spanish companies: A logistic analysis. Intellectual Economics, 7(3), 333-343.

Beaver, W. H. (1966). Financial ratios as predictors of failure. Journal of Accounting Research, 4, 71-111.

Beaver, W. H. (2005). Have financial statements become less informative? Evidence from the ability of financial ratios to predict bankruptcy. Review of Accounting Studies, 10, 93-122.

Blum, M. (1974). The failing company doctrine. Boston College Industrial and Commercial Law Review, 16(1), 75-113.

Bonfim, D., (2009). Credit risk drivers: Evaluating the contribution of firm level information and of macroeconomic dynamics. Journal of Banking and Finance, 33(2), 281-299.

Boso, N., Adeleye, I., Donbesuur, F., & Gyensare, M. (2019). Do entrepreneurs always benefit from business failure experience? Journal of Business Research, 98, 370-379.

Buis, M. L. (2012). Stata tip 107: The baseline is now reported. The Stata Journal, 12(1), 165-166.

Charitou, A., Neophytou, E., & Charalambous, C. (2004). Predicting corporate failure: Empirical evidence for the UK. European Accounting Review, 13(3), 465-497.

Coats, P. K., & Fant, L. F. (1993). Recognizing financial distress patterns using a neural network tool. Financial Management, 22(3), 142-155.

Costa, H. A. (2014). Modelo de previsão de falência: O caso da construção civil em Portugal [Bankruptcy prediction model: The case of civil construction in Portugal] [Unpublished master's thesis]. Universidade do Algarve.

Deakin, E. B. (1972). A discriminant analysis of predictors of business failure. Journal of Accounting Research, 10(1), 167-179.

Diez, F. J., Duval, R., Fan, J., Garrido, J., Kalemli-Ozcan, S., Maggi, C., ... & Pierri, N. (2021). Insolvency Prospects Among Small-and-Medium-Sized Enterprises in Advanced Economies: Assessment and Policy Options (International Monetary Fund Staff Discussion Notes No. SDN/2021/002).

Dong, M. C., Tian, S., & Chen, C. W. S. (2018). Predicting failure risk using financial ratios: Quantile hazard model approach. The North American Journal of Economics and Finance, 44, 204-220.

du Jardin, P., Veganzones, D., & Séverin, E. (2019). Forecasting corporate bankruptcy using accrual-based models. Computational Economics, 54(1), 7-43.

European Commission (2018). 2017 SBA fact sheet for Portugal.

Fama, E. F., & French, K. R. (1992). The cross-section of expected stock returns. The Journal of Finance, 47(2), 427-465.

García, V., Marqués, A. I., Sánchez, J. S., & Ochoa-Domínguez, H. J. (2019). Dissimilarity-based linear models for corporate bankruptcy prediction. Computational Economics, 53(3), 1019-1031.

Hazak, A., & Männasoo, K. (2007). Indicators of corporate default - An EU based empirical study (Bank of Estonia Working Paper 10/2007).

Instituto Nacional de Estadística (2017). Empresas em Portugal - 2015 [Enterprises in Portugal - 2015] (Data file).

Jacobson, T., Lindé, J., & Roszbach, K. (2013). Firm default and aggregate fluctuations. Journal of the European Economic Association, 11(4), 945-972.

Jahur, M. S., & Quadir, S. M. N. (2012). Financial distress in small and medium enterprises (SMEs) of Bangladesh: Determinants and remedial measures. Economia: Seria Management, 15(1), 46-61.

Jardim, C. P., & Pereira, E. T. (2013). Corporate bankruptcy of Portuguese firms. Zagreb International Review of Economics and Business, 16(2), 39-56.

Jayasekera, R. (2018). Prediction of company failure: Past, present and promising directions for the future. International Review of Financial Analysis, 55, 196-208.

Jones, S., Johnstone, D., & Wilson, R. (2017). Predicting corporate bankruptcy: An evaluation of alternative statistical frameworks. Journal of Business Finance and Accounting, 44(1-2), 3-34.

Karels, G. V., & Prakash, A. J. (1987). Multivariate normality and forecasting of business bankruptcy. Journal of Business Finance and Accounting, 14(4), 573-593.

Kenney, R., La Cava, G., & Rodgers, D. (2016). Why do companies fail? (Reserve Bank of Australia Working Papers No. 2016-09).

Kim, H., & Gu, Z. (2006). A logistic regression analysis for predicting bankruptcy in the hospitality industry. The Journal of Hospitality Financial Management, 14(1), 17-34.

Kovacova, M., Kliestik, T., Kubala, P., Valaskova, K., Radišić, M., & Borocki, J. (2018). Bankruptcy models: Verifying their validity as a predictor of corporate failure. Polish Journal of Management Studies, 18(1), 167-179.

Laitinen, E. K. (1994). Traditional versus operating cash flow in failure prediction. Journal of Business Finance and Accounting, 21(2), 195-217.

Lakshan, A. I., & Wijekoon, W. M. H. N. (2013). The use of financial ratios in predicting corporate failure in Sri Lanka. GSTF Journal on Business Review, 2(4), 37-43.

Le, H. H., & Viviani, J. L. (2018). Predicting bank failure: An improvement by implementing a machine-learning approach to classical financial ratios. Research in International Business and Finance, 44, 16-25.

Levratto, N. (2013). From failure to corporate bankruptcy: A review. Journal of Innovation and Entrepreneurship, 2(20), 1-15.

Lins, K.V., Servaes, H., & Tamayo, A. (2017). Social capital, trust, and firm performance: The value of corporate social responsibility during the financial crisis. The Journal of Finance, 74(4), 1785- 1824.

Lopes, J. P. (2014). Previsão de falência de pequenas e médias empresas [Unpublished master's thesis]. Universidade do Porto (Portugal).

Lukason, O. (2013). Firm bankruptcies and violations of law: An analysis of different offences. In T. Vissak, & M. Vadi (Eds.), (Dis)honesty in management (Advanced series in management, Vol. 10, pp. 127-146). Emerald Group Publishing Limited.

Lukason, O., & Laitinen, E. K. (2018). Firm failure processes and components of failure risk: An analysis of European bankrupt firms. Journal of Business Research, 98, 380-390.

McKee, T. E. (2003). Rough sets bankruptcy prediction models versus auditor signalling rates. Journal of Forecasting, 22(8), 569-586.

Nanayakkara, K. G. M., & Azeez, A. A. (2015). Predicting corporate financial distress in Sri Lanka: An extension to z-score model. International Journal of Business and Social Research, 5(3), 41-56.

Ohlson, J. A. (1980). Financial ratios and the probabilistic prediction of bankruptcy. Journal of Accounting Research, 18(1), 109-131.

Oliveira, M. P. G. (2014). A insolvência empresarial na indústria transformadora portuguesa: as determinantes financeiras e macroeconómicas [Corporate insolvency in the Portuguese manufacturing industry: Financial and macroeconomic determinants] [Unpublished master's thesis]. Universidade do Porto.

Ooghe, H. Spaenjers, C., & Vandermoere, P. (2009). Business failure prediction: Simple-intuitive models versus statistical models. The IUP Journal of Business Strategy, 6(3/4), 7-44.

Ooghe, H., & De Prijcker, S. (2008). Failure processes and causes of company bankruptcy: A typology. Management Decision, 46(2), 223-242.

Pacheco L., Rosa, R., & Tavares, F. (2019). Risco de falência de PME: Evidência no setor da construção em Portugal [Bankruptcy risk of SMEs: Evidence from the construction sector in Portugal]. Revista Innovar, 29(71), 143-157.

Pacheco, L. (2015). SMEs probability of default: The case of the hospitality sector. Tourism and Management Studies, 11(1), 153-159.

Paolone, F., & Kesgin, S. S. (2016). Insolvency prediction in manufacturing firms. A comparative study between Italy and Turkey. International Journal of Technical Research and Applications, 4(1), 200-211.

Pervan, I., Pervan, M., & Vukoja, B. (2011). Prediction of company bankruptcy using statistical techniques - Case of Croatia. Croatian Operational Research Review, 2, 158-167.

Platt, H. D., & Platt, M. B. (1990). Development of a class of stable predictive variables: The case of bankruptcy prediction. Journal of Business Finance and Accounting, 17(1), 31-51.

Platt, H. D., & Platt, M. B. (2002). Predicting corporate financial distress: Reflection on choice-based sample bias. Journal of Economic and Finance, 26(2), 184-199.

Pordata (2017). Pordata - Empresas no sector da indústria transformadora: Total e por tipo [Pordata - Companies in the manufacturing sector: Total and by type] [Data set].

Pordata (2018). Pordata - Empresas [Data set].

Serrano-Cinca, C., Gutiérrez-Nieto, B., & Bernate-Valbuena, M. (2019). The use of accounting anomalies indicators to predict business failure. European Management Journal, 37(3), 353-375.

Singh, B. P., & Mishra, A. K. (2016). Re-estimation and comparisons of alternative accounting based bankruptcy prediction models for Indian companies. Financial Innovation, 2(6), 1-28.

Situm, M. (2014). The age and size of the firm as relevant predictors for bankruptcy. Journal of Applied Economics and Business, 2(1), 5-30.

Situm, M. (2015). Analysis of correlational behavior of solvent and insolvent firms based on accounting ratios. Journal of Modern Accounting and Auditing, 11(5), 233-259.

Switzer, L. N., Tu, Q., & Wang, J. (2018). Corporate governance and default risk in financial firms over the post-financial crisis period: International evidence. Journal of International Financial Markets, Institutions and Money, 52(C), 196-210.

Taffler, R. J. (1982). Forecasting company failure in the UK using discriminant analysis and financial ratio data. Journal of the Royal Statistical Society, 145(3), 342-358.

Tian, S., & Yu, Y. (2017). Financial ratios and bankruptcy predictions: An international evidence. International Review of Economics and Finance, 51, 510-526.

Tong, Y., & Serrasqueiro, Z. (2021). Predictions of failure and financial distress: A study on Portuguese high and medium-high technology small and mid-sized enterprises. Journal of International Studies, 14(2), 9-25.

Whitaker, R. B. (1999). The early stages of financial distress. Journal of Economics and Finance, 23(2), 123-133.

Yuan, M., Tang, C. Y., Hong, Y., & Yang, J. (2018). Disentangling and assessing uncertainties in multiperiod corporate default risk predictions. The Annals of Applied Statistics, 12(4), 2587-2617.

Zavgren, C. V. (1985). Assessing the vulnerability to failure of American industrial firms: A logistic analysis. Journal of Business Finance and Accounting, 12(1), 19-45.

Zeitun, R., Tian, G., & Keen, S. (2007). Default probability for the Jordanian companies: A test of cash flow theory. International Research Journal of Finance and Economics, 8, 147-162.

Zeytinoglu, E., & Akarim, Y. D. (2013). Financial failure prediction using financial ratios: An empirical application on Istanbul stock exchange. Journal of Applied Finance and Banking, 3(3), 107-116.

Zmijewski, M. E. (1984). Methodological issues related to the estimation of financial distress prediction models. Journal of Accounting Research, 22, 59-82.

How to Cite
Luís Pacheco, Mara Madaleno, Pedro Correia, & Isabel Maldonado. (2022). Probability of Corporate Bankruptcy: Application to Portuguese Manufacturing Industry SMEs . International Journal of Business and Society, 23(2), 1169-1189.