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Average Internal Rate of Return and investment decisions: A new perspective

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  • Carlo Alberto Magni

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Abstract

The internal rate of return (IRR) is often used by managers and practitioners for investment decisions. Unfortunately, it has serious flaws: (i) multiple real-valued IRRs may arise, (ii) complex-valued IRRs may arise, (iii) the IRR is, in general, incompatible with the net present value (NPV) in accept/reject decisions (iv) the IRR ranking is, in general, different from the NPV ranking, (v) the IRR criterion is not applicable with variable costs of capital. The efforts of economists and management scientists in providing a reliable project rate of return have generated over the decades an immense bulk of contributions aiming to solve these shortcomings. This paper offers a complete solution to this long-standing issue by changing the usual perspective: the IRR equation is dismissed and the evaluator is allowed to describe the project as an investment or a borrowing at his discretion. This permits to show that any arithmetic mean of the one-period return rates implicit in a project reliably informs about a project’s profitability and correctly ranks competing projects. With such a measure, which we name ”Average Internal Rate of Return”, complex-valued numbers disappear and all the above mentioned problems are wiped out. The economic meaning is compelling: it is the project return rate implicitly determined by the market. The traditional IRR notion may be found back as a particular case.

Suggested Citation

  • 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".
  • Handle: RePEc:mod:wcefin:0021
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    1. Dorfman, Robert, 1981. "The Meaning of Internal Rates of Return," Journal of Finance, American Finance Association, vol. 36(5), pages 1011-1021, December.
    2. Weingartner, H. Martin, 1966. "The Generalized Rate of Return," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 1(03), pages 1-29, September.
    3. 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.
    4. William H. Jean, 1968. "On Multiple Rates Of Return," Journal of Finance, American Finance Association, vol. 23(1), pages 187-191, March.
    5. Arrow, Kenneth J & Levhari, David, 1969. "Uniqueness of the Internal Rate of Return with Variable Life of Investment," Economic Journal, Royal Economic Society, vol. 79(315), pages 560-566, September.
    6. Bernhard, Richard H., 1979. "A More General Sufficient Condition for A Unique Nonnegative Internal Rate of Return," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 14(02), pages 337-341, June.
    7. Gallo, Paolo & Peccati, Lorenzo, 1993. "The appraisal of industrial investments: A new method and a case study," International Journal of Production Economics, Elsevier, vol. 30(1), pages 465-476, July.
    8. Paul A. Samuelson, 1964. "Tax Deductibility of Economic Depreciation to Insure Invariant Valuations," Journal of Political Economy, University of Chicago Press, vol. 72, pages 604-604.
    9. Gronchi, Sandro, 1986. "On Investment Criteria Based on the Internal Rate of Return," Oxford Economic Papers, Oxford University Press, vol. 38(1), pages 174-180, March.
    10. Seymour Kaplan, 1967. "Computer Algorithms for Finding Exact Rates of Return," The Journal of Business, University of Chicago Press, vol. 40, pages 389-389.
    11. 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.
    12. James E. Smith & Robert F. Nau, 1995. "Valuing Risky Projects: Option Pricing Theory and Decision Analysis," Management Science, INFORMS, vol. 41(5), pages 795-816, May.
    13. 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.
    14. Ross, Stephen A. & Spatt, Chester S. & Dybvig, Philip H., 1980. "Present values and internal rates of return," Journal of Economic Theory, Elsevier, vol. 23(1), pages 66-81, August.
    15. David Promislow, S. & Spring, David, 1996. "Postulates for the internal rate of return of an investment project," Journal of Mathematical Economics, Elsevier, vol. 26(3), pages 325-361.
    16. J. Hirshleifer, 1958. "On the Theory of Optimal Investment Decision," Journal of Political Economy, University of Chicago Press, vol. 66, pages 329-329.
    17. Martin J. Bailey, 1959. "Formal Criteria for Investment Decisions," Journal of Political Economy, University of Chicago Press, vol. 67, pages 476-476.
    18. P. H. Karmel, 1959. "The Marginal Efficiency Of Capital," The Economic Record, The Economic Society of Australia, vol. 35(72), pages 429-434, December.
    19. Richard H. Bernhard, 1967. "Communications to the Editor--Probability and Rates of Return: Some Critical Comments," Management Science, INFORMS, vol. 13(7), pages 598-600, March.
    20. 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.
    21. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    22. Carlo Alberto Magni, 2009. "Investment decisions, net present value and bounded rationality," Quantitative Finance, Taylor & Francis Journals, vol. 9(8), pages 967-979.
    23. Ramsey, James B, 1970. "The Marginal Efficiency of Capital, the Internal Rate of Return and Net Present Value: An Analysis of Investment Criteria," Journal of Political Economy, University of Chicago Press, vol. 78(5), pages 1017-1027, Sept.-Oct.
    24. K. E. Boulding, 1935. "The Theory of a Single Investment," The Quarterly Journal of Economics, Oxford University Press, vol. 49(3), pages 475-494.
    25. Tim Baldenius & Stefan Reichelstein, 2005. "Incentives for Efficient Inventory Management: The Role of Historical Cost," Management Science, INFORMS, vol. 51(7), pages 1032-1045, July.
    26. 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.
    27. Kierulff, Herbert, 2008. "MIRR: A better measure," Business Horizons, Elsevier, vol. 51(4), pages 321-329.
    28. Graziani, Rebecca & Veronese, Piero, 2009. "How to Compute a Mean? The Chisini Approach and Its Applications," The American Statistician, American Statistical Association, vol. 63(1), pages 33-36.
    29. William Fairley & Henry D. Jacoby, 1975. "Investment Analysis Using the Probability Distribution of the Internal Rate of Return," Management Science, INFORMS, vol. 21(12), pages 1428-1437, August.
    30. Flemming, J S & Wright, J F, 1971. "Uniqueness of the Internal Rate of Return: A Generalisation," Economic Journal, Royal Economic Society, vol. 81(322), pages 256-263, June.
    31. 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.
    32. Ezra Solomon, 1956. "The Arithmetic of Capital-Budgeting Decisions," The Journal of Business, University of Chicago Press, vol. 29, pages 124-124.
    33. 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(01), pages 201-209, March.
    34. Thomas Pfeiffer & Georg Schneider, 2007. "Residual Income-Based Compensation Plans for Controlling Investment Decisions Under Sequential Private Information," Management Science, INFORMS, vol. 53(3), pages 495-507, March.
    35. Bernhard, Richard B., 1977. "Unrecovered Investment, Uniqueness of the Internal Rate, and the Question of Project Acceptability," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(01), pages 33-38, March.
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    Keywords

    Decision analysis; investment criteria; capital budgeting; internal rate of return; investment stream; market rate; mean;

    JEL classification:

    • M41 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Accounting - - - Accounting
    • 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
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • M52 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Personnel Economics - - - Compensation and Compensation Methods and Their Effects

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