Application of mathematical modelling for choosing company's investment program
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ Vyčislitelʹnaâ matematika i informatika, Tome 5 (2016) no. 4, pp. 19-31 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper presents three economic-mathematical models for the formation of the company's investment program: (1) based on the principle of guaranteed payoff (ie maximin principle); (2) based on the principle of maximizing the average expected value under predetermined up limiting of its dispersion; (3) based on the principle of maximizing the average expected value under up limiting the probability of its inaccessibility. Proposed solutions of the problems allow us to give a system estimate of the investment attractiveness of the enterprise which can be used in selecting an effective investment portfolio based on risk appetite of decision makers.
Keywords: investment program, net present value, risk dispersion, probability, stochastic programming.
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A. V. Panyukov; E. N. Kozina. Application of mathematical modelling for choosing company's investment program. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ Vyčislitelʹnaâ matematika i informatika, Tome 5 (2016) no. 4, pp. 19-31. http://geodesic.mathdoc.fr/item/VYURV_2016_5_4_a1/

[1] A.I. Kibzun, A.I. Chernobrovov, “Algorithm to Solve the Generalized Markowitz Problem”, Automation and Remote Control, 72:2 (2011), 289–304 | DOI | MR | Zbl

[2] A.A. Novoselov, Mathematical Modeling of Financial Risks: Measurement Theory, Nauka, Novosibirsk, 2001, 102 pp. | MR

[3] R.J. Dilger, O.R. Gonzales, “SBA Small Business Investment Company Program”, Journal of Current Issues in Finance, Business and Economics, 5:4 (2012), 407–417

[4] L.M. Mikhalina, E.B. Golovanov, “Investment Activity Variance of Small Businesses in a Corrupt Environment”, Bulletin of the South Ural State University. Series: Economics and Management, 8:3 (2014), 41–47

[5] D. Schlegel, F. Frank, B. Britzelmaier, “Investment Decisions and Capital Budgeting Practices in German Manufacturing Companies”, International Journal of Business and Globalisation, 16:1 (2016), 66–78 | DOI

[6] L.I. Yuzvovich, “Economical Nature and the Role of Investment in the National Economics”, The Finance and the Credit, 2010, no. 9, 48–52

[7] D.A. Gamilova, “Substantiation of Efficiency of Company’s Investment Policy”, Innovation and Investment, 2010, no. 2, 37–41

[8] D.P. Sergeeva, “Methods for Evaluating the Effectiveness of Investment Projects Taking into Account the Recommendations of the Ministry of Economy”, Innovative Science, 2015, no. 9, 201–204

[9] K.V. Zhelnova, “Analysis of Decision Making Practice of Investment Policy”, Problems of Current Economics, 2013, no. 4, 38–46

[10] Metodicheskie rekomendatsii po otsenke effektivnosti investitsionnykh proektov (utv.Minekonomiki RF, Minfinom RF, Gosstroem RF 21.06.1999 N VK 477), (data obrascheniya: 30.07.2016) http://www.consultant.ru/document/cons_doc_LAW_28224/

[11] A.V. Panyukov, Mathematical Modeling of Economic Processes, URSS, Moscow, 2009, 191 pp.

[12] A.V. Panyukov, V.A. Teleghin, “Forming of Discrete Mechanical Assembly Production Program”, Journal of Computational and Engineering Mathematics, 2:1 (2015), 57–64, Moscow | DOI | Zbl

[13] M.A. Afanasiev, “Optimal Investment Program”, Investments into Russia, 2002, no. 12, 50–54

[14] V.P. Vilenskiy, “An Approach to the Calculation of the Influence of Uncertainty and Risk at the Effectiveness of the Investment Processes”, Economics and Mathematical Methods, 2002, no. 2, 29–38

[15] V.V. Glukhov, Mathematical Methods and Models for the Management, Lan’, St. Petersburg, 2005, 528 pp.

[16] E.N. Kozina, “The Development of Economic and Mathematical Models of the Company’s Investment Program”, Coll. Proceedings of the International Scientific-Practical Conference «Modern Trends in Economics, Law, Management, Mathematics: a New Look» (St. Petersburg, 01-03 December), v. 3, Publishing house «KultInformPress», St. Petersburg, 2012, 64–67

[17] A.I. Kibzun, Tasks of Stochastic Programming with Probabilistic Criteria, FIZMATLIT, Moscow, 2009, 372 pp.

[18] E.N. Kozina, “Mathematical Model of the Investment Program of the Enterprise”, Coll. Works of XII All-Russian Conference on Control (VSPU 2014) (Moscow, June 16-19, 2014), Institute of Control Sciences, Moscow, 2014, 1250–1253

[19] V.B. Vishnaykov, A.I. Kibzun, “Deterministic Equivalents for the Problems of Stochastic Programming with Probabilistic Criteria”, Automation and Remote Control, 67:6 (2006), 945–961 | DOI | MR | Zbl