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Average rates of return, working capital, and NPV-consistency in project appraisal: A sensitivity analysis approach

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  • Magni, Carlo Alberto
  • Marchioni, Andrea

Abstract

In project appraisal under uncertainty, the economic reliability of a measure of financial efficiency depends on its strong NPV-consistency, meaning that the performance metric (i) supplies the same recommendation in accept-reject decisions as the NPV, (ii) ranks competing projects in the same way as the NPV, (iii) has the same sensitivity to perturbations in the input data as the NPV. In real-life projects, financial efficiency is greatly affected by the management of the working capital. Using a sensitivity analysis approach and taking into explicit account the role of working capital, we show that the average return on investment (ROI) is not strongly NPV-consistent in accept-reject decisions if the working capital is uncertain and changes under changes in revenues and costs. Also, it is not strongly NPV-consistent in project ranking. We also show that the internal rate of return (IRR) is not strongly NPV-consistent and economic analysis may even turn out to be impossible, owing to possible nonexistence and multiplicity caused by perturbations in the input data, as well as to possible shifts in the financial meaning of IRR under changes in the project’s value drivers. We introduce the straight-line rate of return (SLRR), based on the notion of average rate of change, which overcomes all the problems encountered by average ROI and IRR: It always exists, is unique, strongly NPV-consistent for both accept-reject decisions and project ranking, and has an unambiguous financial nature.

Suggested Citation

  • Magni, Carlo Alberto & Marchioni, Andrea, 2020. "Average rates of return, working capital, and NPV-consistency in project appraisal: A sensitivity analysis approach," MPRA Paper 99922, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:99922
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    1. Luciano, Elisa & Peccati, Lorenzo, 1999. "Capital structure and inventory management:: The temporary sale price problem," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 169-178, March.
    2. 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.
    3. Battaglio, Claudia & Longo, Giovanni & Peccati, Lorenzo, 1996. "Restyling of fees in consumers credit and their optimization," European Journal of Operational Research, Elsevier, vol. 91(2), pages 330-337, June.
    4. Carlo Alberto Magni, 2020. "Investment Decisions and the Logic of Valuation," Springer Books, Springer, number 978-3-030-27662-1, June.
    5. Lindblom, Ted & Sjögren, Stefan, 2009. "Increasing goal congruence in project evaluation by introducing a strict market depreciation schedule," International Journal of Production Economics, Elsevier, vol. 121(2), pages 519-532, October.
    6. Carlo Alberto Magni, 2010. "Average Internal Rate of Return and investment decisions: A new perspective," Centro Studi di Banca e Finanza (CEFIN) (Center for Studies in Banking and Finance) 0021, Universita di Modena e Reggio Emilia, Dipartimento di Economia "Marco Biagi".
    7. 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.
    8. Thomas Pfeiffer, 2004. "Net Present Value-Consistent Investment Criteria Based on Accruals: A Generalisation of the Residual Income-Identity," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 31(7-8), pages 905-926.
    9. Song, Hua & Yang, Xuan & Yu, Kangkang, 2020. "How do supply chain network and SMEs’ operational capabilities enhance working capital financing? An integrative signaling view," International Journal of Production Economics, Elsevier, vol. 220(C).
    10. Bian, Yuan & Lemoine, David & Yeung, Thomas G. & Bostel, Nathalie & Hovelaque, Vincent & Viviani, Jean-laurent & Gayraud, Fabrice, 2018. "A dynamic lot-sizing-based profit maximization discounted cash flow model considering working capital requirement financing cost with infinite production capacity," International Journal of Production Economics, Elsevier, vol. 196(C), pages 319-332.
    11. Mario Massari & Francesco Roncaglio & Laura Zanetti, 2008. "On the Equivalence between the APV and the wacc Approach in a Growing Leveraged Firm," European Financial Management, European Financial Management Association, vol. 14(1), pages 152-162, January.
    12. 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.
    13. Thomas Pfeiffer, 2004. "Net Present Value‐Consistent Investment Criteria Based on Accruals: A Generalisation of the Residual Income‐Identity," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 31(7‐8), pages 905-926, September.
    14. 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.
    15. Sandahl, Gert & Sjogren, Stefan, 2003. "Capital budgeting methods among Sweden's largest groups of companies. The state of the art and a comparison with earlier studies," International Journal of Production Economics, Elsevier, vol. 84(1), pages 51-69, April.
    16. Stanley Block, 2011. "Does the Weighted Average Cost of Capital Describe the Real-World Approach to the Discount Rate?," The Engineering Economist, Taylor & Francis Journals, vol. 56(2), pages 170-180.
    17. Huang, Jing & Yang, Wensheng & Tu, Yiliu, 2020. "Financing mode decision in a supply chain with financial constraint," International Journal of Production Economics, Elsevier, vol. 220(C).
    18. Peng, Juan & Zhou, Zhili, 2019. "Working capital optimization in a supply chain perspective," European Journal of Operational Research, Elsevier, vol. 277(3), pages 846-856.
    19. Elazar Berkovitch, 2004. "Why the NPV Criterion does not Maximize NPV," The Review of Financial Studies, Society for Financial Studies, vol. 17(1), pages 239-255.
    20. Ian Gow & Stefan Reichelstein, 2007. "Capital Budgeting: The Role of Cost Allocations," Operations Research Proceedings, in: Karl-Heinz Waldmann & Ulrike M. Stocker (ed.), Operations Research Proceedings 2006, pages 115-121, Springer.
    21. Graham, John R. & Harvey, Campbell R., 2001. "The theory and practice of corporate finance: evidence from the field," Journal of Financial Economics, Elsevier, vol. 60(2-3), pages 187-243, May.
    22. Mike Dempsey, 2013. "Consistent Cash Flow Valuation with Tax†Deductible Debt: a Clarification," European Financial Management, European Financial Management Association, vol. 19(4), pages 830-836, September.
    23. Miles, James A. & Ezzell, John R., 1980. "The Weighted Average Cost of Capital, Perfect Capital Markets, and Project Life: A Clarification," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 15(3), pages 719-730, September.
    24. Borgonovo, E. & Peccati, L., 2004. "Sensitivity analysis in investment project evaluation," International Journal of Production Economics, Elsevier, vol. 90(1), pages 17-25, July.
    25. 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.
    26. Borgonovo, Emanuele & Plischke, Elmar, 2016. "Sensitivity analysis: A review of recent advances," European Journal of Operational Research, Elsevier, vol. 248(3), pages 869-887.
    27. 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.
    28. Chauhan, Gaurav Singh, 2019. "Are working capital decisions truly short-term in nature?," Journal of Business Research, Elsevier, vol. 99(C), pages 238-253.
    29. Protopappa-Sieke, Margarita & Seifert, Ralf W., 2010. "Interrelating operational and financial performance measurements in inventory control," European Journal of Operational Research, Elsevier, vol. 204(3), pages 439-448, August.
    30. 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.
    31. Wetzel, Philipp & Hofmann, Erik, 2019. "Supply chain finance, financial constraints and corporate performance: An explorative network analysis and future research agenda," International Journal of Production Economics, Elsevier, vol. 216(C), pages 364-383.
    32. Wu, Yaobin & Wang, Yingying & Xu, Xun & Chen, Xiangfeng, 2019. "Collect payment early, late, or through a third party's reverse factoring in a supply chain," International Journal of Production Economics, Elsevier, vol. 218(C), pages 245-259.
    33. Pirttilä, M. & Virolainen, V.M. & Lind, L. & Kärri, T., 2020. "Working capital management in the Russian automotive industry supply chain," International Journal of Production Economics, Elsevier, vol. 221(C).
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    More about this item

    Keywords

    Finance; project evaluation; working capital; ROI; IRR; sensitivity analysis; net present value; straight-line; project ranking;
    All these keywords.

    JEL classification:

    • C4 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics
    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D92 - Microeconomics - - Micro-Based Behavioral Economics - - - Intertemporal Firm Choice, Investment, Capacity, and Financing
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G31 - Financial Economics - - Corporate Finance and Governance - - - Capital Budgeting; Fixed Investment and Inventory Studies
    • M41 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Accounting - - - Accounting

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