The companies' investment and financing policies are dynamically interrelated and there is no general consensus about the direction of this relationship. There are theoretical arguments and empirical evidence supporting both possible directions, which makes panel vector autoregressive models an appropriate tool. However, the financial ratios normally used to assess this relationship empirically tend to be asymmetric, and to have extreme outliers and non-linear relationships. The aim of this article is to propose a methodological approach to address these issues by complementing panel vector autoregressive models with compositional data analysis. The usefulness of the proposed methodology is illustrated with real data of Spanish retail companies, while a reanalysis with standard financial ratios is inconclusive.
Citation: Miquel Carreras-Simó, Germà Coenders. The relationship between asset and capital structure: a compositional approach with panel vector autoregressive models[J]. Quantitative Finance and Economics, 2021, 5(4): 571-590. doi: 10.3934/QFE.2021025
The companies' investment and financing policies are dynamically interrelated and there is no general consensus about the direction of this relationship. There are theoretical arguments and empirical evidence supporting both possible directions, which makes panel vector autoregressive models an appropriate tool. However, the financial ratios normally used to assess this relationship empirically tend to be asymmetric, and to have extreme outliers and non-linear relationships. The aim of this article is to propose a methodological approach to address these issues by complementing panel vector autoregressive models with compositional data analysis. The usefulness of the proposed methodology is illustrated with real data of Spanish retail companies, while a reanalysis with standard financial ratios is inconclusive.
[1] | Abrigo M, Love I (2016) Estimation of panel vector autoregression in Stata. Stata J 16: 778-804. doi: 10.1177/1536867X1601600314 |
[2] | Aitchison J (1986) The Statistical Analysis of Compositional Data, Monographs on Statistics and Applied Probability, London: Chapman and Hall. |
[3] | Aivazian VA, Ge Y, Qiu J (2005) The impact of leverage on firm investment: Canadian evidence. J Corporate Financ 11: 277-291. doi: 10.1016/S0929-1199(03)00062-2 |
[4] | Alcock J, Steiner EM (2017) The interrelationships between REIT capital structure and investment. Abacus 53: 371-394. doi: 10.1111/abac.12113 |
[5] | Arellano M, Bover O (1995) Another look at the instrumental variable estimation of error-components models. J Econom 68: 29-51. doi: 10.1016/0304-4076(94)01642-D |
[6] | Arslan-Ayaydin Ö , Florackis C, Ozkan A (2014) Financial flexibility, corporate investment and performance: Evidence from financial crises. Rev Quant Financ Account 42: 211-250. doi: 10.1007/s11156-012-0340-x |
[7] | Andrews D, Lu B (2001) Consistent model and moment selection procedures for GMM estimation with application to dynamic panel data models. J Econom 101: 123-164. doi: 10.1016/S0304-4076(00)00077-4 |
[8] | Belles-Sampera J, Guillen M, Santolino M (2016) Compositional methods applied to capital allocation problems. J Risk 19: 15-30. |
[9] | Billett MT, King THD, Mauer DC (2007) Growth opportunities and the choice of leverage, debt maturity, and covenants. J Financ 62: 697-730. doi: 10.1111/j.1540-6261.2007.01221.x |
[10] | Bontempi ME, Golinelli R (2012) The effect of neglecting the slope parameters' heterogeneity on dynamic models of corporate capital structure. Quant Financ 12: 1733-1751. doi: 10.1080/14697688.2011.572903 |
[11] | Boonen T, Guillén M, Santolino M (2019) Forecasting compositional risk allocations. Insur Math Econ 84: 79-86. doi: 10.1016/j.insmatheco.2018.10.002 |
[12] | Carlino G, Drautzburg T (2020) The role of startups for local labor markets. J Appl Econom 35: 751-775. doi: 10.1002/jae.2783 |
[13] | Carreras-Simó M, Coenders G (2020) Principal component analysis of financial statements. A compositional approach. Revista de Métodos Cuantitativos para la Economía y la Empresa 29: 18-37. |
[14] | Chen KH, Shimerda TA (1981) An empirical analysis of useful financial ratios. Financ Manage 10: 51-60. doi: 10.2307/3665113 |
[15] | Childs PD, Mauer DC, Ott SH (2005) Interactions of corporate financing and investment decisions: The effects of agency conflicts. J Financ Econ 76: 667-690. doi: 10.1016/j.jfineco.2004.06.012 |
[16] | Coenders G, Ferrer-Rosell B (2020) Compositional data analysis in tourism. Review and future directions. Tourism Anal 25: 153-168. |
[17] | Coenders G, Saez M (2000) Collinearity, heteroscedasticity and outlier diagnostics in regression. Do they always offer what they claim? In: Ferligoj A, Mrvar A, New Approaches in Applied Statistics, Ljubljana: FDV, 79-94. |
[18] | Cowen SS, Hoffer JA (1982) Usefulness of financial ratios in a single industry. J Bus Res 10: 103-118. doi: 10.1016/0148-2963(82)90020-0 |
[19] | Creixans-Tenas J, Coenders G, Arimany-Serrat N (2019) Corporate social responsibility and financial profile of Spanish private hospitals. Heliyon 5: e02623. |
[20] | Croissant Y, Millo M (2019) Panel Data Econometrics with R, Hoboken: Wiley. |
[21] | Davis BC, Himeleski KM, Webb JW, et al. (2017) Funders' positive affective reactions to entrepreneurs' crowdfunding pitches: The influence of perceived product creativity and entrepreneurial passion. J Bus Ventur 32: 90-106. doi: 10.1016/j.jbusvent.2016.10.006 |
[22] | Deakin EB (1976) Distributions of financial accounting ratios: Some empirical evidence. Account Rev 51: 90-96. |
[23] | Denis D, McKeon S (2012) Debt financing and financial flexibility: evidence from proactive leverage increases. Rev Financ Stud 25: 1897-1929. doi: 10.1093/rfs/hhs005 |
[24] | Egozcue JJ, Pawlowsky-Glahn V (2019) Compositional data: The sample space and its structure. TEST 28: 599-638. doi: 10.1007/s11749-019-00670-6 |
[25] | Egozcue JJ, Pawlowsky-Glahn V, Mateu-Figueras G, et al. (2003) Isometric logratio transformations for compositional data analysis. Math Geol 5: 279-300. doi: 10.1023/A:1023818214614 |
[26] | Erb I (2020) Partial correlations in compositional data analysis. Appl Comput Geosci 6: 100026. |
[27] | Filzmoser P, Hron K, Templ M (2018) Applied Compositional Data Analysis, Cham: Springer. |
[28] | Frank MZ, Goyal VK. (2003) Testing the pecking order theory of capital structure. J Financ Econ 67: 217-248. doi: 10.1016/S0304-405X(02)00252-0 |
[29] | Frecka TJ, Hopwood WS (1983) The effects of outliers on the cross-sectional distributional properties of financial ratios. Account Rev 58: 115-128. |
[30] | Gámez-Velázquez D, Coenders G (2020) Identification of exchange rate shocks with compositional data and written press. Financ, Mark Valuation 6: 99-113. doi: 10.46503/LDAW9307 |
[31] | Gebauer S, Setzer R, Westphal A (2018) Corporate debt and investment: A firm-level analysis for stressed Euro area countries. J Int Money Financ 86: 112-130. doi: 10.1016/j.jimonfin.2018.04.009 |
[32] | Greenacre M (2018) Compositional Data Analysis in Practice, New York: Chapman and Hall/CRC press. |
[33] | Greenacre M, Grunsky E, Bacon-Shone J (2021) A comparison of isometric and amalgamation logratio balances in compositional data analysis. Comput Geosci 148: 104621. |
[34] | Grossman SJ, Hart OD (1982) Corporate financial structure and managerial incentives, In: McCall J, The Economics of Information and Uncertainty, Chicago: University of Chicago Press, 107-140. |
[35] | Hahn J, Kuehrsteiner G (2002) Asymptotically unbiased inference for a dynamic panel model with fixed effects when both n and T are large. Econometrica 70: 1639-1657. doi: 10.1111/1468-0262.00344 |
[36] | Harris M, Raviv A (1991) The theory of capital structure. J Financ 46: 297-356. doi: 10.1111/j.1540-6261.1991.tb03753.x |
[37] | Isles PDF (2020) The misuse of ratios in ecological stoichiometry. Ecology 101: e03153. |
[38] | Jensen MC (1986) Agency costs of free cash flow, corporate finance and takeovers. Am Econ Rev 76: 323-339. |
[39] | Jensen M, Meckling W (1976) The theory of the firm: Managerial behavior, agency costs, and ownership structure. J Financ Econ 3: 305-360. doi: 10.1016/0304-405X(76)90026-X |
[40] | Joueid A, Coenders G (2018) Marketing innovation and new product portfolios. A compositional approach. J Open Innovation Technol Mark Complexity 4: 19. |
[41] | Kapetanios G (2018) A bootstrap procedure for panel data sets with many cross-sectional units. Econom J 11: 377-395. |
[42] | Kokoszka P, Miao H, Petersen A, et al. (2019) Forecasting of density functions with an application to cross-sectional and intraday returns. Int J Forecast 35: 1304-1317. |
[43] | Kumar S, Colambage S, Rao P (2017) Research on capital structure determinants: A review and future directions. Int J Manage Financ 13: 106-132. |
[44] | Kynčlová P, Filzmoser P, Hron K (2015) Modeling compositional time series with vector autoregressive models. J Forecast 34: 303-314. doi: 10.1002/for.2336 |
[45] | Lambrecht B, Myers SC (2017) The dynamics of investment, payout and debt. Rev Financ Stud 30: 3759-3800. doi: 10.1093/rfs/hhx081 |
[46] | Larsson R, Lyhagen J (2007) Inference in panel cointegration models with long panels. J Bus Econ Stat 25: 473-483. doi: 10.1198/073500106000000549 |
[47] | Linares-Mustarós S, Coenders G, Vives-Mestres M (2018) Financial performance and distress profiles. From classification according to financial ratios to compositional classification. Advances Accounting 40: 1-10. |
[48] | Love I, Zicchino L (2006) Financial development and dynamic investment behavior: Evidence from panel VAR. Q Rev Econ Financ 46: 190-210. doi: 10.1016/j.qref.2005.11.007 |
[49] | Lütkepohl H (2007) New Introduction to Multiple Time Series Analysis, Berlin: Springer. |
[50] | Maldonado WL, Egozcue JJ, Pawlowsky-Glahn V (2019) No-arbitrage matrices of exchange rates: Some characterizations. Int J Econ Theory [In press]. |
[51] | Martín-Fernández JA, Palarea-Albaladejo J, Olea RA (2011) Dealing with zeros, In: Pawlowsky-Glahn V, Buccianti A, Compositional Data Analysis. Theory and Applications, New York: Wiley, 47-62. |
[52] | Maudos J, Fernández J (2020) Condiciones Financieras de la Empresas Españ olas. Efectos sobre la Inversión y la Productividad, Bilbao: Fundación BBVA. |
[53] | Mumtaz H, Sunder‐Plassmann L (2021) Nonlinear effects of government spending shocks in the USA: Evidence from state‐level data. J Appl Econom 36: 86-97. doi: 10.1002/jae.2800 |
[54] | Myers SC (1977) Determinants of corporate borrowing. J Financ Econ 5: 147-175. doi: 10.1016/0304-405X(77)90015-0 |
[55] | Myers SC (1984) The capital structure puzzle. J Financ 39: 574-592. doi: 10.1111/j.1540-6261.1984.tb03646.x |
[56] | Ortells R, Egozcue JJ, Ortego MI, et al. (2016) Relationship between popularity of key words in the Google browser and the evolution of worldwide financial indices, In: Martín-Fernández JA, Thió-Henestrosa S, Compositional Data Analysis. Springer Proceedings in Mathematics & Statistics, 187, Cham: Springer, 145-166. |
[57] | Palarea-Albaladejo J, Martín-Fernández JA (2008) A Modified EM alr-algorithm for replacing rounded zeros in compositional data sets. Comput Geosci 34: 902-917. doi: 10.1016/j.cageo.2007.09.015 |
[58] | Palarea-Albaladejo J, Martín-Fernández JA (2015) zCompositions—R package for multivariate imputation of left-censored data under a compositional approach. Chemom Inteligent Lab Syst 143: 85-96. doi: 10.1016/j.chemolab.2015.02.019 |
[59] | Pawlowsky-Glahn V, Egozcue JJ, Tolosana-Delgado R (2015) Modeling and Analysis of Compositional Data, Chichester: Wiley. |
[60] | Pesaran H, Shin Y (1998) Generalized impulse response analysis in linear multivariate models. Econ Lett 58: 17-29. doi: 10.1016/S0165-1765(97)00214-0 |
[61] | Ramalho JJS, Silva JV (2009) A two-part fractional regression model for the financial leverage decisions of micro, small, medium and large firms. Quant Financ 9: 621-636. doi: 10.1080/14697680802448777 |
[62] | Saus-Sala E, Farreras-Noguer À, Arimany-Serrat N, et al. (2021) Compositional DuPont analysis. A visual tool for strategic financial performance assessment, In: Filzmoser P, Hron K, Martín-Fernández JA, et al., Advances in Compositional Data Analysis, Festschrift in honour of Vera Pawlowsky-Glahn, Cham: Springer, 189-206. |
[63] | Shleifer A, Vishny R (1992) Liquidation values and debt capacity: a market equilibrium approach. J Financ 47: 1343-1366. |
[64] | Sigmund M, Ferstl R (2021) Panel vector autoregression in R with the package panelvar. Q Rev Econ Financ 80: 693-720. doi: 10.1016/j.qref.2019.01.001 |
[65] | Thomas-Agnan C, Morais J (2021) Covariates impacts in compositional models and simplicial derivatives. Austrian J Stat 52: 1-15. |
[66] | Titman S, Wessels R (1988) The determinants of capital structure choice. J Financ 43: 1-19. doi: 10.1111/j.1540-6261.1988.tb02585.x |
[67] | Tuzcuoğlu T (2020) The impact of financial fragility on firm performance: an analysis of BIST companies. Quant Financ Econs 4: 310-342. doi: 10.3934/QFE.2020015 |
[68] | Van den Boogaart KG, Tolosana-Delgado R (2013) Analyzing Compositional Data with R, Berlin: Springer. |
[69] | Verbelen R, Antonio K, Claeskens G (2018) Unravelling the predictive power of telematics data in car insurance pricing. J Royal Stat Society C 67: 1275-1304. doi: 10.1111/rssc.12283 |
[70] | Voltes-Dorta A, Jiménez JL, Suárez-Alemán A (2014) An initial investigation into the impact of tourism on local budgets: A comparative analysis of Spanish municipalities. Tour Manage 45: 124-133. doi: 10.1016/j.tourman.2014.02.016 |
[71] | Wang H, Lu S, Zhao J (2019) Aggregating multiple types of complex data in stock market prediction: A model-independent framework. Knowledge-Based Syst 164: 193-204. doi: 10.1016/j.knosys.2018.10.035 |
[72] | Windmeijer F (2005) A finite sample correction for the variance of linear efficient two-step GMM estimators. J Econom 126: 25-51. doi: 10.1016/j.jeconom.2004.02.005 |