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Measuring the inadequacy of IRR in PFI schemes using profitability index and AIRR

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  • Cuthbert, James R.
  • Magni, Carlo Alberto

Abstract

The internal rate of return (IRR) is widely used in Private Finance Initiative (PFI) schemes in the UK for measuring performance. However, it is well-known that the IRR may be a misleading indicator of economic profitability. Treasury Guidance (2004) recognises that the the IRR should not be used and net present value (NPV) should be calculated instead, unless the cash flow pattern is even. The distortion generated by the IRR can be quantified by the notion of scheduling effect, introduced in Cuthbert and Cuthbert (2012). We combine this notion with the notion of average IRR (AIRR), introduced in Magni (2010, 2013) and show that a positive scheduling effect arises if the AIRR, relative to a flat payment stream, exceeds the project’s IRR. The scheduling component can be measured in two separate ways, in terms of specific AIRRs, one of which enables the scheduling component to be decomposed into relative capital and relative rate components. We also highlight the role of average capital, whose quotation in the market, in association with IRRs or AIRRs, would deepen the economic analysis of the project.

Suggested Citation

  • Cuthbert, James R. & Magni, Carlo Alberto, 2016. "Measuring the inadequacy of IRR in PFI schemes using profitability index and AIRR," MPRA Paper 72857, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:72857
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    References listed on IDEAS

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    1. Magni, Carlo Alberto, 2009. "Splitting up value: A critical review of residual income theories," European Journal of Operational Research, Elsevier, vol. 198(1), pages 1-22, October.
    2. 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.
    3. Carlo Alberto Magni, 2010. "Average internal rate of return and investment decisions: A new perspective," PROYECCIONES FINANCIERAS Y VALORACION 006653, MASTER CONSULTORES.
    4. 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.
    5. 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.
    6. Magni, Carlo Alberto, 2015. "Aggregate Return On Investment for investments under uncertainty," International Journal of Production Economics, Elsevier, vol. 165(C), pages 29-37.
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    10. Carlo Alberto Magni, 2010. "Average internal rate of return and investment decisions: A new perspective," Proyecciones Financieras y Valoración 6653, Master Consultores.
    11. Cuthbert, J.R. & Cuthbert, M., 2012. "Why IRR is an inadequate indicator of costs and returns in relation to PFI schemes," CRITICAL PERSPECTIVES ON ACCOUNTING, Elsevier, vol. 23(6), pages 420-433.
    12. Yuri Biondi, 2006. "The double emergence of the Modified Internal Rate of Return: The neglected financial work of Duvillard (1755 - 1832) in a comparative perspective," The European Journal of the History of Economic Thought, Taylor & Francis Journals, vol. 13(3), pages 311-335.
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    Cited by:

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    2. Jing Du & Hongyue Wu & Xianbo Zhao, 2018. "Critical Factors on the Capital Structure of Public–Private Partnership Projects: A Sustainability Perspective," Sustainability, MDPI, vol. 10(6), pages 1-27, June.
    3. Isaac Akomea-Frimpong & Xiaohua Jin & Robert Osei-Kyei, 2022. "Mapping Studies on Sustainability in the Performance Measurement of Public-Private Partnership Projects: A Systematic Review," Sustainability, MDPI, vol. 14(12), pages 1-20, June.

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    More about this item

    Keywords

    PFI; AIRR; profitability index; scheduling effect; internal rate of return.;
    All these keywords.

    JEL classification:

    • G00 - Financial Economics - - General - - - General
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • 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
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics
    • M40 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Accounting - - - General

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