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Investment decisions and sensitivity analysis: NPV-consistency of rates of return

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  • Marchioni, Andrea
  • Magni, Carlo Alberto

Abstract

Investment decisions may be evaluated via several different metrics/criteria, which are functions of a vector of value drivers. The economic significance and the reliability of a metric depend on its compatibility with the Net Present Value (NPV). Traditionally, a metric is said to be NPV-consistent if it is coherent with NPV in signaling value creation. This paper makes use of Sensitivity Analysis (SA) for measuring coherence between rates of return and NPV. In particular, it introduces a new, stronger definition of NPV-consistency that takes into account the influence of value drivers on the metric output. A metric is strongly NPV-consistent if it signals value creation and the ranking of the value drivers in terms of impact on the output is the same as that provided by the NPV. The degree of (in)coherence is calculated with Spearman (1904) correlation coefficient and Iman and Conover (1987) top-down coefficient. We focus on the class of AIRRs (Magni 2010, 2013) and show that the average Return On Investment (ROI) enjoys strong NPV-consistency under several (possibly all) methods of Sensitivity Analysis.

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  • Marchioni, Andrea & Magni, Carlo Alberto, 2018. "Investment decisions and sensitivity analysis: NPV-consistency of rates of return," European Journal of Operational Research, Elsevier, vol. 268(1), pages 361-372.
    • Handle: RePEc:eee:ejores:v:268:y:2018:i:1:p:361-372
    DOI: 10.1016/j.ejor.2018.01.007
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    1. Magni, Carlo Alberto, 2016. "Capital depreciation and the underdetermination of rate of return: A unifying perspective," Journal of Mathematical Economics, Elsevier, vol. 67(C), pages 54-79.
    2. Carlo Alberto Magni, 2014. "Mathematical Analysis of Average Rates of Return and Investment Decisions: The Missing Link," The Engineering Economist, Taylor & Francis Journals, vol. 59(3), pages 175-206, July.
    3. Grubbström, RW & Ashcroft, SH, 1991. "Application of the calculus of variations to financing alternatives," Omega, Elsevier, vol. 19(4), pages 305-316.
    4. Jessica Lima e Silva & Vinicius Amorim Sobreiro & Herbert Kimura, 2018. "Prepurchase financing pool: Revealing the IRR problem," The Engineering Economist, Taylor & Francis Journals, vol. 63(2), pages 158-170, April.
    5. Seifert, Daniel & Seifert, Ralf W. & Protopappa-Sieke, Margarita, 2013. "A review of trade credit literature: Opportunities for research in operations," European Journal of Operational Research, Elsevier, vol. 231(2), pages 245-256.
    6. Ben-Horin, Moshe & Kroll, Yoram, 2017. "A simple intuitive NPV-IRR consistent ranking," The Quarterly Review of Economics and Finance, Elsevier, vol. 66(C), pages 108-114.
    7. Borgonovo, E. & Gatti, S. & Peccati, L., 2010. "What drives value creation in investment projects? An application of sensitivity analysis to project finance transactions," European Journal of Operational Research, Elsevier, vol. 205(1), pages 227-236, August.
    8. Carlo Alberto Magni, 2010. "Average internal rate of return and investment decisions: A new perspective," PROYECCIONES FINANCIERAS Y VALORACION 006653, MASTER CONSULTORES.
    9. Frank Fabozzi & Dashan Huang & Guofu Zhou, 2010. "Robust portfolios: contributions from operations research and finance," Annals of Operations Research, Springer, vol. 176(1), pages 191-220, April.
    10. Joy, O Maurice & Bradley, Jerry O, 1973. "A Note on Sensitivity Analysis of Rates of Return," Journal of Finance, American Finance Association, vol. 28(5), pages 1255-1261, December.
    11. L C Thomas, 2010. "Consumer finance: challenges for operational research," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(1), pages 41-52, January.
    12. E. Borgonovo & S. Tarantola & E. Plischke & M. D. Morris, 2014. "Transformations and invariance in the sensitivity analysis of computer experiments," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 76(5), pages 925-947, November.
    13. Leyman, Pieter & Vanhoucke, Mario, 2017. "Capital- and resource-constrained project scheduling with net present value optimization," European Journal of Operational Research, Elsevier, vol. 256(3), pages 757-776.
    14. Wiesemann, Wolfram & Kuhn, Daniel & Rustem, Berç, 2010. "Maximizing the net present value of a project under uncertainty," European Journal of Operational Research, Elsevier, vol. 202(2), pages 356-367, April.
    15. Daniel Teichroew & Alexander A. Robichek & Michael Montalbano, 1965. "An Analysis of Criteria for Investment and Financing Decisions Under Certainty," Management Science, INFORMS, vol. 12(3), pages 151-179, November.
    16. Borgonovo, E. & Peccati, L., 2006. "The importance of assumptions in investment evaluation," International Journal of Production Economics, Elsevier, vol. 101(2), pages 298-311, June.
    17. Kumbhakar, Subal C., 2011. "Estimation of production technology when the objective is to maximize return to the outlay," European Journal of Operational Research, Elsevier, vol. 208(2), pages 170-176, January.
    18. Rapp, Birger, 1980. "The internal rate of return method -- A critical study," Engineering Costs and Production Economics, Elsevier, vol. 5(1), pages 43-52, June.
    19. James E. Foster & Tapan Mitra, 2003. "Ranking investment projects," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 22(3), pages 469-494, October.
    20. John Board & Charles Sutcliffe & William T. Ziemba, 2003. "Applying Operations Research Techniques to Financial Markets," Interfaces, INFORMS, vol. 33(2), pages 12-24, April.
    21. Mørch, Ove & Fagerholt, Kjetil & Pantuso, Giovanni & Rakke, Jørgen, 2017. "Maximizing the rate of return on the capital employed in shipping capacity renewal," Omega, Elsevier, vol. 67(C), pages 42-53.
    22. Bart Baesens & Rudy Setiono & Christophe Mues & Jan Vanthienen, 2003. "Using Neural Network Rule Extraction and Decision Tables for Credit-Risk Evaluation," Management Science, INFORMS, vol. 49(3), pages 312-329, March.
    23. Menezes, Mozart B.C. & Kim, Seokjin & Huang, Rongbing, 2015. "Return-on-investment (ROI) criteria for network design," European Journal of Operational Research, Elsevier, vol. 245(1), pages 100-108.
    24. Danaher, Peter J. & Rust, Roland T., 1996. "Determining the optimal return on investment for an advertising campaign," European Journal of Operational Research, Elsevier, vol. 95(3), pages 511-521, December.
    25. Myung, Young-Soo & Kim, Hu-gon & Tcha, Dong-wan, 1997. "A bi-objective uncapacitated facility location problem," European Journal of Operational Research, Elsevier, vol. 100(3), pages 608-616, August.
    26. Richard F. Hespos & Paul A. Strassmann, 1965. "Stochastic Decision Trees for the Analysis of Investment Decisions," Management Science, INFORMS, vol. 11(10), pages 244-259, August.
    27. J Brimberg & P Hansen & G Laporte & N Mladenović & D Urošević, 2008. "The maximum return-on-investment plant location problem with market share," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(3), pages 399-406, March.
    28. Ekern, Steinar, 1981. "Time Dominance Efficiency Analysis," Journal of Finance, American Finance Association, vol. 36(5), pages 1023-1034, December.
    29. Herroelen, Willy S. & Van Dommelen, Patrick & Demeulemeester, Erik L., 1997. "Project network models with discounted cash flows a guided tour through recent developments," European Journal of Operational Research, Elsevier, vol. 100(1), pages 97-121, July.
    30. Magni, Carlo Alberto, 2015. "Investment, financing and the role of ROA and WACC in value creation," European Journal of Operational Research, Elsevier, vol. 244(3), pages 855-866.
    31. Yang, Kum Khiong & Talbot, F. Brian & Patterson, James H., 1993. "Scheduling a project to maximize its net present value: An integer programming approach," European Journal of Operational Research, Elsevier, vol. 64(2), pages 188-198, January.
    32. Borgonovo, E. & Peccati, L., 2004. "Sensitivity analysis in investment project evaluation," International Journal of Production Economics, Elsevier, vol. 90(1), pages 17-25, July.
    33. Carlo Magni, 2013. "The Internal Rate of Return Approach and the AIRR Paradigm: A Refutation and a Corroboration," The Engineering Economist, Taylor & Francis Journals, vol. 58(2), pages 73-111.
    34. de Faro, Clovis, 1978. "A Sufficient Condition for a unique Nonnegative Internal Rate of Return: Further Comments," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 13(3), pages 577-584, September.
    35. Helga Meier & Nicos Christofides & Gerry Salkin, 2001. "Capital Budgeting Under Uncertainty---An Integrated Approach Using Contingent Claims Analysis and Integer Programming," Operations Research, INFORMS, vol. 49(2), pages 196-206, April.
    36. Borgonovo, Emanuele & Plischke, Elmar, 2016. "Sensitivity analysis: A review of recent advances," European Journal of Operational Research, Elsevier, vol. 248(3), pages 869-887.
    37. Meir J. Rosenblatt & Zilla Sinuany-Stern, 1989. "Generating the Discrete Efficient Frontier to the Capital Budgeting Problem," Operations Research, INFORMS, vol. 37(3), pages 384-394, June.
    38. Emanuele Borgonovo, 2010. "A Methodology for Determining Interactions in Probabilistic Safety Assessment Models by Varying One Parameter at a Time," Risk Analysis, John Wiley & Sons, vol. 30(3), pages 385-399, March.
    39. Murthi, B. P. S. & Choi, Yoon K. & Desai, Preyas, 1997. "Efficiency of mutual funds and portfolio performance measurement: A non-parametric approach," European Journal of Operational Research, Elsevier, vol. 98(2), pages 408-418, April.
    40. Talavera, D.L. & Nofuentes, G. & Aguilera, J., 2010. "The internal rate of return of photovoltaic grid-connected systems: A comprehensive sensitivity analysis," Renewable Energy, Elsevier, vol. 35(1), pages 101-111.
    41. Pasqual, Joan & Padilla, Emilio & Jadotte, Evans, 2013. "Technical note: Equivalence of different profitability criteria with the net present value," International Journal of Production Economics, Elsevier, vol. 142(1), pages 205-210.
    42. Carlo Alberto Magni, 2015. "Investment, financing and the role of ROA and WACC in value creation," Department of Economics 0050, University of Modena and Reggio E., Faculty of Economics "Marco Biagi".
    43. Li, Jie & Jo Min, K. & Otake, Toshitsugu & Van Voorhis, Timothy, 2008. "Inventory and investment in setup and quality operations under Return On Investment maximization," European Journal of Operational Research, Elsevier, vol. 185(2), pages 593-605, March.
    44. Gordon Hazen, 2009. "An Extension of the Internal Rate of Return to Stochastic Cash Flows," Management Science, INFORMS, vol. 55(6), pages 1030-1034, June.
    45. Rivett, Patrick, 1974. "Perspective for operational research," Omega, Elsevier, vol. 2(2), pages 225-233, April.
    46. Cigola, Margherita & Peccati, Lorenzo, 2005. "On the comparison between the APV and the NPV computed via the WACC," European Journal of Operational Research, Elsevier, vol. 161(2), pages 377-385, March.
    47. Jacek Gondzio & Roy Kouwenberg, 2001. "High-Performance Computing for Asset-Liability Management," Operations Research, INFORMS, vol. 49(6), pages 879-891, December.
    48. Borgonovo, E. & Peccati, L., 2006. "Uncertainty and global sensitivity analysis in the evaluation of investment projects," International Journal of Production Economics, Elsevier, vol. 104(1), pages 62-73, November.
    49. Spronk, Jaap & Hallerbach, Winfried, 1997. "Financial modelling: Where to go? With an illustration for portfolio management," European Journal of Operational Research, Elsevier, vol. 99(1), pages 113-125, May.
    50. Peter J. Barry & Lindon J. Robison, 2014. "Technical Note: Economic Rates of Return and Investment Analysis," The Engineering Economist, Taylor & Francis Journals, vol. 59(3), pages 231-236, July.
    51. J Brimberg & C ReVelle, 2000. "The maximum return-on-investment plant location problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(6), pages 729-735, June.
    52. Daniel Teichroew & Alexander A. Robichek & Michael Montalbano, 1965. "Mathematical Analysis of Rates of Return Under Certainty," Management Science, INFORMS, vol. 11(3), pages 395-403, January.
    53. Bernhard, Richard H., 1980. "A Simplification and an Extension of the Bernhard-deFaro Sufficient Condition for a Unique Non-Negative Internal Rate of Return," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 15(1), pages 201-209, March.
    54. Ashford, Robert W. & Berry, Robert H. & Dyson, Robert G., 1988. "Operational research and financial management," European Journal of Operational Research, Elsevier, vol. 36(2), pages 143-152, August.
    55. Carlo Alberto Magni, 2010. "Average internal rate of return and investment decisions: A new perspective," Proyecciones Financieras y Valoración 6653, Master Consultores.
    56. Borgonovo, E., 2010. "Sensitivity analysis with finite changes: An application to modified EOQ models," European Journal of Operational Research, Elsevier, vol. 200(1), pages 127-138, January.
    57. Steuer, Ralph E. & Na, Paul, 2003. "Multiple criteria decision making combined with finance: A categorized bibliographic study," European Journal of Operational Research, Elsevier, vol. 150(3), pages 496-515, November.
    58. Maria Teresa Bosch-Badia & Joan Montllor-Serrats & Maria Antonia Tarrazon-Rodon, 2014. "Capital Budgeting and Shareholders’ Value: Investment Projects Versus Courses of Action," The Engineering Economist, Taylor & Francis Journals, vol. 59(3), pages 207-230, July.
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    More about this item

    Keywords

    Finance; Sensitivity analysis; Investment decisions; NPV; Return On Investment;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C67 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Input-Output Models
    • G31 - Financial Economics - - Corporate Finance and Governance - - - Capital Budgeting; Fixed Investment and Inventory Studies

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