Size & Regional Distribution of Financial Behavior Patterns in Spain

The relationship between the financial behaviour of firms and some business risk factors have been thoroughly researched during decades. Our paper tries to draw a dynamic two-dimensional map of companies using a broad number of accounting ratios during a period of seven years based on regional and size characteristics. The intention is to explain financial behaviour for a subsequent comparative classification of businesses. For small and medium sized firms, accounting ratios are not just the only data available, but the best suitable building blocks to our research. In order to reduce input dimensionality without losing information, we use two methodologies: the Principal Components Analysis, and correlation analysis. Finally, we also use the whole data set of variables with the intention to see if there are outstanding differences in the final results. Subsequently, the companies are sorted out by size and geographical / political areas or regions, using a neural net model called Self-Organizing Maps. We also use a cluster model as a benchmark. The model allows us to visualize dynamically some traits by means of mapping n variables in two dimensions: We can classify firms in groups, see which variables determine each group, monitor the evolution of firms in terms of group selection, and determine the fittest group in terms of financial ratios and the firms within it. Finally, we also see no outstanding differences between the Principal Component Analysis (PCA) model and the whole data set, whereas the model without high correlation variables shows a weaker stability. Although this analysis represents a step forward for the right valuation of the Spanish small and mid-size firm network, its applicability covers not only more dimensions, but any other country with clear-cut differentiated political regions. The data has been taken from the Spanish Register of Business Names, being the raw material the annual accounting books and records, covering the years 1998- 2004, both included

[1]  José Antonio Belso Martínez,et al.  Outsourcing decision, product innovation and the spatial dimension: evidence from the Spanish footwear industry , 2009 .

[2]  Joakim Wincent,et al.  Does size matter?: A study of firm behavior and outcomes in strategic SME networks , 2005 .

[3]  E. Altman,et al.  ZETATM analysis A new model to identify bankruptcy risk of corporations , 1977 .

[4]  Donald W. Bouldin,et al.  A Cluster Separation Measure , 1979, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[5]  M. Pérez,et al.  Including non-cognitive outputs in a multidimensional evaluation of education production: an international comparison , 2009 .

[6]  Silviano Esteve Pérez,et al.  The dynamics of trade and innovation: a joint approach , 2009 .

[7]  Antonio Sánchez-Braza,et al.  Average effect of training programs on the time needed to find a job: the case of the training schools program in the south of Spain (Seville, 1997-1999) , 2008 .

[8]  Javier F. Navas,et al.  Pricing levered warrants with dilution using observable variables , 2013 .

[9]  Julio Berbel,et al.  Beneficios ambientales no comerciales de la Directiva Marco del agua en condiciones de escasez: análisis económico para el Guadalquivir , 2010 .

[10]  José Antonio Carrasco Gallego,et al.  The Marshall Plan and the Spanish autarky: A welfare loss analysis , 2010 .

[11]  Mike González,et al.  Costes de mitigación y escenarios post-kyoto en España: un análisis de equilibro general para España , 2009 .

[12]  Carlos Llano Verduras,et al.  El comercio intra e inter-regional del sector Turismo en España , 2009 .

[13]  Edward I. Altman,et al.  Corporate distress diagnosis: Comparisons using linear discriminant analysis and neural networks (the Italian experience) , 1994 .

[14]  J. Paz,et al.  Acercando posturas sobre el descuento ambiental: sondeo Delphi a expertos en el ámbito internacional , 2008 .

[15]  E. Rodríguez,et al.  Determining operational capital at risk: an empirical application to the retail banking , 2009 .

[16]  Esteban Fernández Vázquez,et al.  Estimating regional variations of R&D effects on productivity growth by entropy econometrics , 2009 .

[17]  Begoña Cueto Iglesias,et al.  An analysis of urban size and territorial location effects on employment probabilities: the spanish case , 2009 .

[18]  Ajay Mehra.  RESOURCE AND MARKET BASED DETERMINANTS OF PERFORMANCE IN THE U.S. BANKING INDUSTRY , 1996 .

[19]  Carlos Serrano-Cinca,et al.  Self-organizing neural networks for the analysis and representation of data: Some financial cases , 1993, Neural Computing & Applications.

[20]  José Manuel Cansino Muñoz-Repiso y Antonio Sánchez Braza.  José Manuel Cansino Muñoz-Repiso y Antonio Sánchez Braza , 2010 .

[21]  Jigish Zaveri,et al.  Specifying Critical Inputs in a Genetic Algorithm‐driven Decision Support System: An Automated Facility* , 1995 .

[22]  José María Durán Cabré,et al.  Key issues when using tax data for concentration analysis: an application to the Spanish wealth tax , 2009 .

[23]  Ana Cristina Mingorance Arnáiz.  Convergencia económica en España y coordinación de políticas económicas: un estudio basado en la estructura productiva de las CC.AA. , 2009 .

[24]  Sue Birley,et al.  A taxonomy of business start-up reasons and their impact on firm growth and size , 1994 .

[25]  J. MacQueen.  Some methods for classification and analysis of multivariate observations , 1967 .

[26]  Andrés J. Picazo-Tadeo,et al.  Does playing several competitions influence a team’s league performance? Evidence from Spanish professional football , 2010, Central Eur. J. Oper. Res..

[27]  Edward I. Altman,et al.  FINANCIAL RATIOS, DISCRIMINANT ANALYSIS AND THE PREDICTION OF CORPORATE BANKRUPTCY , 1968 .

[28]  Ignacio Álvarez Peralta.  La inserción financiera externa de la economía francesa: inversores institucionales y nueva gestión empresarial , 2008 .

[29]  A. Hanna,et al.  Indicator Variables Model of Firm’s Size-Profitability Relationship of Electrical Contractors Using Financial and Economic Data , 2003 .

[30]  Cecilio Mar-Molinero,et al.  Bank failure: a multidimensional scaling approach , 2001 .

[31]  George Foster,et al.  Corporate Financial-Reporting - A Methodological Review Of Empirical-Research , 1982 .

[32]  Alan Wall,et al.  On measuring the effect of demand uncertainty on costs: an application to port terminals , 2009 .

[33]  José Manuel Cordero Ferrera,et al.  Measuring efficiency in primary health care: the effect of exogenous variables on results , 2009 .

[34]  F ROSENBLATT,et al.  The perceptron: a probabilistic model for information storage and organization in the brain. , 1958, Psychological review.

[35]  J. M. Ferrera,et al.  Testing the accuracy of DEA for measuring efficiency in education under endogeneity , 2009 .

[36]  R. A. I. Van Frederikslust,et al.  Predictability of corporate failure , 1978 .

[37]  Mikel González Ruiz de Eguino,et al.  Instrumentos de mercado para reducir emisiones de co2: un análisis de equilibrio general para España , 2009 .

[38]  Teuvo Kohonen,et al.  Self-Organization and Associative Memory , 1988 .

[39]  Jorge Guardiola,et al.  WHY DO LOCAL GOVERNMENTS PRIVATIZE THE PROVISION OF WATER SERVICES? EMPIRICAL EVIDENCE FROM SPAIN , 2011 .

[40]  Cristina López Duarte,et al.  INCERTIDUMBRE EXTERNA Y ELECCIÓN DEL MODO DE ENTRADA EN EL MARCO DE LA INVERSIÓN DIRECTA EN EL EXTERIOR , 2009 .

[41]  Jonas Sjöberg,et al.  Neural Nets and Related Model Structures for Nonlinear System Identification , 1998 .

[42]  B. T. D. L. Fe,et al.  Have Spanish port sector reforms during the last two decades been successful? A cost frontier approach , 2010 .

[43]  Andrés José Picazo Tadeo,et al.  Do we sack the manager... or is it better not to? Evidence from Spanish professional football , 2010 .

[44]  Cecilio Mar Molinero,et al.  Predicting Corporate Failure in the UK: A Multidimensional Scaling Approach , 2004 .

[45]  K. Palepu.  Diversification strategy, profit performance and the entropy measure , 1985 .

[46]  C. Mar Molinero,et al.  A multivariate study of the economy of the European Union via financial statements analysis , 2002 .

[47]  V. Rodríguez,et al.  Performance and completeness in repeated inter-firm relationships: the case of franchising , 2010 .

[48]  G. Fotopoulos,et al.  Determinants of Hazard Confronting New Entry: Does Financial Structure Matter? , 2000 .

[49]  Esa Alhoniemi,et al.  Clustering of the self-organizing map , 2000, IEEE Trans. Neural Networks Learn. Syst..

[50]  David G. McMillan,et al.  Realised hedge ratio properties, performance and implications for risk management: evidence from the spanish ibex 35 spot and futures markets , 2010 .

[51]  James A. Ohlson.  FINANCIAL RATIOS AND THE PROBABILISTIC PREDICTION OF BANKRUPTCY , 1980 .

[52]  R. O. Edmister,et al.  JOURNAL OF FINANCIAL AND QUANTITATIVE ANALYSIS March 1972 AN EMPIRICAL TEST OF FINANCIAL RATIO ANALYSIS FOR SMALL BUSINESS FAILURE PREDICTION , 2009 .

[53]  J. G. Benito,et al.  On the effects of supply strategy on business performance: do the relationships among generic competitive objectives matter? , 2010 .

[54]  Marshall Hall,et al.  Firm Size and Profitability , 1967 .

[55]  C. Mar Molinero,et al.  Country and size effects in financial ratios: a European perspective , 2005 .

[56]  Luis J. de Miguel,et al.  Application of the Fuzzy Artmap Neural Network Architecture to Bank Failure Predicitons , 1993, IWANN.

[57]  Robert L. Phillips,et al.  MARKETS VS. MANAGEMENT: WHAT ‘DRIVES’ PROFITABILITY? , 1996 .

[58]  Jorge Onrubia Fernández,et al.  ¿Cómo ha afectado la fiscalidad a la rentabilidad de la inversión en vivienda en España?. Un análisis para el periodo 1996 y 2007 , 2010 .

[59]  Teuvo Kohonen,et al.  Self-organized formation of topologically correct feature maps , 2004, Biological Cybernetics.

[60]  Ana Salomé García Muñiz.  Modelización de flujos en el análisis input-output a partir de la teoría de redes , 2010 .

[61]  W. Beaver.  Financial Ratios As Predictors Of Failure , 1966 .

[62]  I. Jolliffe.  Discarding Variables in a Principal Component Analysis. Ii: Real Data , 1973 .

[63]  Teuvo Kohonen,et al.  The self-organizing map , 1990, Neurocomputing.

[64]  Juan Lopez,et al.  ORDER OF MARKET ENTRY, MARKET AND TECHNOLOGICAL EVOLUTION AND FIRM COMPETITIVE PERFORMANCE , 2009 .

[65]  Anders Krogh,et al.  Introduction to the theory of neural computation , 1994, The advanced book program.

[66]  Philip D. Bunn,et al.  Company Accounts-Based Modelling of Business Failures and the Implications for Financial Stability , 2003 .

[67]  F. M. I. Coma,et al.  Does social spending increase support for free trade in advanced democracies , 2008 .

[68]  Hinrich Schütze,et al.  A comparison of classifiers and document representations for the routing problem , 1995, SIGIR '95.

[69]  José Enrique Devesa Carpio,et al.  La deuda implícita y el desequilibrio financiero-actuarial de un sistema de pensiones: el caso del régimen general de la seguridad social en España , 2008 .

[70]  J. Farley,et al.  Determinants of Financial Performance: A Meta-Analysis , 1990 .

[71]  Bernard Fingleton,et al.  Regional productivity variation and the impact of public capital stock: an analysis with spatial interaction, with reference to Spain , 2012 .