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Modified Net Present Value under Uncertainties: An Approach Based on Fuzzy Numbers and Interval Arithmetic

  • Antonio Carlos Sampaio Filho
  • Marley Vellasco
  • Ricardo Tanscheit
Part of the Communications in Computer and Information Science book series (CCIS, volume 300)

Abstract

This paper presents an alternative approach to capital budgeting, named fuzzy modified net present value (fuzzy MNPV) method, for evaluation of investment projects under uncertainty. Triangular fuzzy numbers are used to represent uncertainty of cash flows and of reinvestment, financing and risk-adjusted discount rates. Due to the complexity of the calculations involved, a new financial function for MS-Excel has been developed (MNPVfuzzy).  To illustrate the use of the model and of the function, numerical examples are supplied. Results show that the proposed method is more advantageous and simpler to use than other methods for evaluation of investment under uncertainty.

Keywords

Capital Budgeting Modified Net Present Value Triangular Fuzzy Numbers Interval Arithmetic 

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References

  1. 1.
    Graham, J.R., Harvey, C.R.: The Theory and Practice of Corporate Finance: Evidence from the Field. Journal of Financial Economics 60, 187–243 (2001)CrossRefGoogle Scholar
  2. 2.
    Plath, D.A., Kennedy, W.F.: Teaching Return-Based Measures of Project Evaluation. Financial Practice & Education 4, 77–86 (1994)Google Scholar
  3. 3.
    Biondi, Y.: The Double Emergence of the Modified Internal Rate of Return: The Neglected Financial Work of Duvillard (1755-1832) in a Comparative Perspective. European Journal of the History of Economic Thought 13, 311–335 (2006)CrossRefGoogle Scholar
  4. 4.
    Kierulff, H.: MIRR: A Better Measure. Business Horizons 51, 321–329 (2008)CrossRefGoogle Scholar
  5. 5.
    McClure, K.G., Girma, P.B.: Modified Net Present Value (MNPV): A New Technique for Capital Budgeting. Zagreb International Review of Economics and Business 7, 67–82 (2004)Google Scholar
  6. 6.
    Chandra, P.: Projects: Planning, Analysis, Selection, Financing, Implementation, and Review, 7th edn. Tata McGraw-Hill, New Delhi (2009)Google Scholar
  7. 7.
    Solomon, E.: The Arithmetic of Capital-Budgeting Decisions. The Journal of Business 29(2), 124–129 (1956)CrossRefGoogle Scholar
  8. 8.
    Zadeh, L.A.: Fuzzy Sets. Information and Control 8, 338–353 (1965)MathSciNetzbMATHCrossRefGoogle Scholar
  9. 9.
    Kahraman, C. (ed.): Fuzzy Engineering Economics with Applications. Springer, Heidelberg (2008)zbMATHGoogle Scholar
  10. 10.
    Ulukan, Z., Ucuncuoglu, C.: Economic Analyses for the Evaluation of IS Projects. Journal of Information Systems and Technology Management 7(2), 233–260 (2010)CrossRefGoogle Scholar
  11. 11.
    Gutiérrez, I.: Fuzzy Numbers and Net Present Value. Scandinavian Journal of Management 5, 149–159 (1989)CrossRefGoogle Scholar
  12. 12.
    Chiu, C.Y., Park, C.S.: Fuzzy Cash Flow Analysis Using Present Worth Criterion. The Engineering Economist 39(2), 113–137 (1994)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Antonio Carlos Sampaio Filho
    • 1
  • Marley Vellasco
    • 2
  • Ricardo Tanscheit
    • 2
  1. 1.Petróleo Brasileiro S.A.Rio de JaneiroBrazil
  2. 2.Pontifícia Universidade Católica do Rio de JaneiroRio de JaneiroBrazil

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