A NON-LINEAR PROGRAMMING MODEL FOR BUDGETING DECISION ON NEW FIRMS
DOI:
https://doi.org/10.18028/rgfc.v11i3.9232Keywords:
Venture Capital, Generalized Reduced Gradient, Non-Linear Programming, Small and Medium Enterprises, BudgetAbstract
Access to market information and difficulties to obtain external financing are traditional barriers to financial planning exercises that reflect the growth opportunities aimed by new high-tech companies from emerging markets. There is also a lack of studies that propose a robust methodological approach to deal with these issues. This article develops two decision support models based on the nonlinear programming algorithm GRG (Generalized Reduced Gradient). The model was applied in the context of capital budgeting in high-tech small and medium enterprises. The models use input information from three basic financial statements, which are the income statement, the cash flow statement and the balance sheet. This study provided insights into the trade-offs of capital-structure and value in high-tech firms operating in developing countries. The discussions and results obtained in the case study carried in this work can be helpful to the community of entrepreneurs, financial analysts, investors, and policy makers involved in the design of new financing mechanisms for startups.
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References
ABES. Mercado brasileiro de software: Panorâma e tendências [Brazilian Software Market: Panorama and Tendencies]. Associação Brasileira de Software. São Paulo. 2015.
ABVCAP. Consolidação de Dados 2021: Anos Base: 2011-2020. Associação Brasileira de Private Equity e Venture Capital. São Paulo, p. 43. 2021a.
ABVCAP. Performance of Brazilian Private Equity and Venture Capital Deals. Associação Brasileira de Private Equity e Venture Capital. São Paulo, p. 18. 2021b.
ACKOFF, R. L. Resurrecting the Future of Operational Research. The Journal of the Operational Research Society, v. 30, n. 3, p. 189-199, 1979.
ALMEIDA, H.; CAMPELLO, M. Financing Frictions and the Substitution between Internal and External Funds. Journal of financial and quantitative analysis, p. p. 589–622, 2010.
ARMOUR, J.; CUMMING, D. The legislative road to Silicon Valley. Oxford Economic Papers, v. 58, n. 4, p. 596–635, 2005.
AURIOL, E. Barriers to formal entrepreneurship in developing countries. [S.l.]. 2013.
BECK, A. Introduction to nonlinear optimization: theory, algorithms, and applications with MATLAB. Kfar Saba: Technion-Israel Institute of Technology, 2014.
BERTSEKAS, D. Nonlinear Programming. 3ª. ed. Athenas: Athena Scientific, 2016.
CARPENTER, R. E.; PETERSEN, B. C. Capital Market Imperfections, High-Tech Investment, and New Equity Financing. The Economic Journal, 112, n. 477, 2002. F54-F52.
CARPENTIER, J.; ABADIE, J. Generalization of the Wolfe Reduced Gradient method in the case of non-linear constraints. Optimization, London, v. 37, p. 37-47, 1969.
CASELLI, S. Private Equity and Venture Capital in Europe: Markets, Techniques, and Deals. Burlington, MA: Academic Press, 2010.
CHAN, L. K. C.; LAKONISHOK, J.; SOUGIANNIS, T. The Stock Market Valuation of Research and Development Expenditures. The Journal of Finance, v. LVI, p. 2431-2456, 2001.
CORNELL, B.; DAMODARAN, A. Tesla: Anatomy of a Run-Up. The Journal of Portfolio Management, v. 41, n. 1, p. 139-151, 2014.
CRESSY, R. Funding gaps: a symposium. Economic Journal, v. 447, p. F1-F16, 2002.
DAMODARAN, A. Investment Valuation: Tools and Techniques for Determining the Value of Any Asset. 2ª. ed. Danvers: John Wiley & Sons, 2002.
DAMODARAN, A. Applied Corporate Finance. 4ª. ed. Danvers: John Wiley & Sons, 2014.
DAVILA, A.; FOSTER, G.; GUPTA, M. Venture capital financing and the growth of startup firms. Journal of Business Venturing, v. 18, n. 6, p. 689-702, jul. 2002.
DE NEGRI, F.; RAUEN, A. T. Innovation Policies in Brazil during the 2000s: the need for new paths. Brasília-DF. 2018.
DURAND, D. The cost of capital, corporation finance, and the theory of investment. American Economic Association, v. 49, n. 4, p. 639-655, 1959.
FAMA, E.; FRENCH, K. The Capital-Asset-Pricing-Model: Theory and Evidence, 18, n. 3, 2004. 25-46.
GOMPERS, P. A.; LERNER, J. The Use of Covenants: An Empirical Analysis of Venture Capital Agreements. The Journal pf Law & Economics, 39, n. 2, 1996. 463-498.
GOMPERS, P. et al. Venture capital investment cycles: The impact of public markets. Journal of Financial Economics, v. 87, n. 1, p. 1-23, 2008.
GRAHAM, J. R.; CAMPBELL, R. H. The Theory and Practice of Corporate Finance: evidence from the field. Joournal of Financial Economics, 60, 2001. 187-243.
GRILLI, L.; MURTINU, S. Government, venture capital and the growth of European high-tech entrepreneurial firms. Research Policy, v. 43, p. 1523–1543, 2014.
HALKOS, G. E.; TZEREMES, N. G. Industry performance evaluation with the use of financial ratios: An application of Bootsrapped DEA. Expert Systems with Applications, 39, 2012. 5872-5880.
HAMILTON, R. T.; FOX, M. A. The financing preferences of small firm owners. International Journal of Entrepreneurial Behavior & Research, p. p. 239 - 248, 1998.
HEALY, P. M.; PAPELU, K. G.; BERNARD, V. L. Business Analysis & Valuation: Using financial statements. 3ª. ed. Boston: Cengage Learning, 2003.
HILLIER, F. S.; LIEBERMAN, G. J. Introduction to Operations Research. 10th. ed. Boston: McGraw Hill, 2015.
HOLMES, S.; KENT, P. An Empirical Analysis of the Financial Structure of Small and Large Australian Manufacturing Enterprises. The Journal of Entrepreneurial Finance, p. p. 141-154, 1991.
HOLTHAUSEN, R. W.; ZMIJEWSKI, M. E. Corporate Valuation: Theory, Evidence and Practice. Charlotte, NC: CBP Press, 2014.
HUBBARD, R. Capital Market Imperfections and Investment. Journal of Economic Literature, v. 36, p. 193-225, 1998.
INSTITUTO ASSAF. Demonstrações financeiras das companhias, 2018. Disponivel em: <https://www.institutoassaf.com.br/>. Acesso em: 20 fev. 2018.
JACKSON, R. H. F.; MULVEY, J. M. A Critical Review of Comparisons of Mathematical Programming Algorithms and Software (1953- 1977). JOURNAL OF RESEARCH of the Notional Bureau of Standards, v. 6, p. 563-584, 1978.
JOGLEKAR, N. R.; LEVESQUE, M. Marketing, R&D, and Startup Valuation. IEEE Transactions on Engineering and Management, 56, n. 2, 2009. 229-242.
KOPLIN, H. T. The profit maximization assumption. Oxford Economic Papers, 15, n. 2, 1963. 130-139.
LARSON, A. L.; GIFFIN, P. E. Revenue vs. profit maximization: comment. Southern Econimic Journal, 46, n. 4, 1980. 1221–1223.
LEACH, J. C.; MELICHER, R. W. Entrepreneurial Finance. Fourth. ed. Stamford, OH: Cengage Learning, 2015.
LEE, R. P.; GREWAL, R. Strategic responses to new technology and their impact on firm performance. Journal of Marketing, v. 68, p. 157–171, 2004.
LEMMON, M. L.; ZENDER, J. F. Debt Capacity and Tests of Capital Structure Theories. Journal of financial and quantitative analysis, p. p. 1161-1187, 2010.
LERNER, J.; HARDYMON, F.; LEAMON, A. Venture Capital & Privatre Equity: A Casebook. Hoboken, NJ: John Wiley & Sons, 2012.
LERNER, J.; LEAMON, A.; HARDYMON, F. Venture Capital, Private Equity and the Financing of Entrepreneurship. Hoboken, NJ: John Wiley & Sons, 2012.
MERT, M. What does a firm maximize? A simple explanation with regard to economic growth. International Journal of Engineering Business Management, 10, 2018. 1-13.
METRICK, A.; YASUDA, A. Venture capital and the finance of innovation. 2. ed. New York: John Wiley & Sons, 2010.
MODIGLIANI, F.; MILLER, M. H. The cost of capital, corporation finance and the theory of investment. The American Economic Review, p. 261-297, 1958.
MODIGLIANI, F.; MILLER, M. H. Corporate income taxes and the cost of capital: a correction. The American economic review, v. 53, n. 3, p. 433-443, 1963.
NETO, A. A.; LIMA, F. G.; ARAÚJO, A. M. P. Uma proposta metodológica para o cálculo do custo de capital no Brasil [a methodological approach for the calculation of the cost of capital in Brazil]. Revista de Administração, v. 43, n. 1, p. 72-83, jan./fev./mar. 2008.
OECD. OECD Keynote Paper for SME Financing Gap: Theory. Paris. 2006.
OECD. OECD Science, Technology and Industry Outlook: Comparative performance of national science and innovation systems. [S.l.]. 2019.
PHILOSOPHOV, L. V.; BATTEN, J. A. Predicting the event and time horizon of bankruptcy using financial ratios and the maturity schedule of long-term debt. Mathematical Finance Journal, 1, 2008. 181-212.
PINTO, K. E. F.; FELDMANN, P. R. Why Brazil Doesn't Innovate: a Comparison Among Nations. Revista de Administração e Inovação, v. 13, n. 1, p. 63-82, 2016.
PROBERT, J.; CONNEL, D.; MINA, A. R&D service firms: The hidden engine of the high-tech economy. Research Policy, v. 42, p. 1274-1285, 2013.
RAMSHINGHANI, M. The Business of Venture Capital. Hoboken, NJ: John Wiley & Sons, 2014.
ROBB, A. M.; ROBINSON, D. T. The capital structure decisions of new firms. Review of Financial Studies, v. 27, n. 1, p. 153-179, jan. 2014.
ROBBIE, K.; WRIGHT, M. Venture capital. New York: Dartmouth Publishing, 1997.
SCHERR, F. C.; SUGRUE, T. F.; WARD, J. B. Financing the Small Firm Start-Up: Determinants of Debt Use. The Journal of Entrepreneurial Finance, p. p. 17-36, 1993.
SCHIANTARELLI, F. Financial Constraints and Investment: a critical review of methodologial issues and international evidence. In: PEEK, J.; ROSENGREEN, E. Is Bank Lending Important for the Transmission of Monetary Policy. Boston: Federal Reserve Bank, 1995. p. 177-214.
SEBRAE. Sobrevivência das empresas no Brasil [Survival of Firms in Brazil]. SEBRAE – Serviço de Apoio às Micro e Pequenas Empresas. Brasília. 2013.
SOLOW, R. M. Some implications of alternative criteria for the firm. In: MARRIS, R.; WOOD, A. The Corporate Economy. London: Palgrave MAcmillan, 1971. p. 318-342.
STANCILL, J. M. How much money does your new venture need? Harvard Business Review, v. 64, n. 3, p. 59-70, mai/jun 1986.
STIGLER, G. J. Perfect competition, historically contemplated. Journal of Political Economy, 65, n. 1, 1957. 1-17.
TITMAN, S.; WESSELS, R. The determinants of capital structure choice. The Journal of finance, v. 43, n. 1, p. 1-19, mar. 1988.
VILLA, A.; ANTONELLI, D. A Road Map to the Development of European SME Networks - towards collaborative innovation. London: Springer, 2009.
WILTBANK, R. et al. Prediction and control under uncertainty: Outcomes in angel investing. Journal of Business Venturing, v. 24, n. 2, p. 116-133, nov. 2009.
ZIDER, B. How Venture Capital Works. Harvard Business Review , v. 76, n. 6, p. 131-139, 1998.
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