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A quantifying method of microinvestment optimum


  • Albu, Lucian-Liviu
  • Camasoiu, Ion
  • Georgescu, George


Amid the controversies around the optimisation criteria and the objective functions when applying mathematical methods in economics, we proposed a method of quantifying a multi-criteria optimum, called critical distance method. The demonstration of this method is exemplified by assessing the investment optimum at microeconomic level (project or company portfolio choice). A hyperbolic paraboloid function of three variables (the recovery time, the investment value and the unit cost) representing a surface of the second degree has been defined. The intersection of the hyperbolic parabola planes identifies the point where the three considered variables have the same value, signifying an equal importance attached to them and revealing the optimum level of their interaction. The distance from this critical point to the origin represents, in fact, the criterion according to which one could choose the most efficient investment alternative. In our opinion, the proposed method could be extended to the study of any economic process.

Suggested Citation

  • Albu, Lucian-Liviu & Camasoiu, Ion & Georgescu, George, 1985. "A quantifying method of microinvestment optimum," MPRA Paper 14928, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:14928

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    References listed on IDEAS

    1. Balakrishna, B S, 2007. "Delayed Default Dependency and Default Contagion," MPRA Paper 14921, University Library of Munich, Germany, revised 15 May 2007.
    2. Edward I. Altman & Brooks Brady & Andrea Resti & Andrea Sironi, 2005. "The Link between Default and Recovery Rates: Theory, Empirical Evidence, and Implications," The Journal of Business, University of Chicago Press, vol. 78(6), pages 2203-2228, November.
    3. Lindskog, Filip & McNeil, Alexander J., 2003. "Common Poisson Shock Models: Applications to Insurance and Credit Risk Modelling," ASTIN Bulletin: The Journal of the International Actuarial Association, Cambridge University Press, vol. 33(02), pages 209-238, November.
    4. Damiano Brigo & Andrea Pallavicini & Roberto Torresetti, 2008. "Default correlation, cluster dynamics and single names: The GPCL dynamical loss model," Papers 0812.4163,
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    More about this item


    microeconomic optimum; critical distance method; portfolio choice; investment alternatives; multi-criteria optimum;

    JEL classification:

    • B21 - Schools of Economic Thought and Methodology - - History of Economic Thought since 1925 - - - Microeconomics
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • B23 - Schools of Economic Thought and Methodology - - History of Economic Thought since 1925 - - - Econometrics; Quantitative and Mathematical Studies
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis


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