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The Choice of Technique with Multiple and Complex Interest Rates

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  • Robert L. Vienneau

Abstract

This article clarifies the relationships between internal rates of return (IRR), net present value (NPV), and the analysis of the choice of technique in models of production analyzed during the Cambridge capital controversy. Multiple and possibly complex roots of polynomial equations defining the IRR are considered. An algorithm, using these multiple roots to calculate the NPV, justifies the traditional analysis of reswitching.

Suggested Citation

  • Robert L. Vienneau, 2017. "The Choice of Technique with Multiple and Complex Interest Rates," Review of Political Economy, Taylor & Francis Journals, vol. 29(3), pages 440-453, July.
    • Handle: RePEc:taf:revpoe:v:29:y:2017:i:3:p:440-453
    DOI: 10.1080/09538259.2017.1346039
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    1. Zonghie Han & Bertram Schefold, 2006. "An empirical investigation of paradoxes: reswitching and reverse capital deepening in capital theory," Cambridge Journal of Economics, Oxford University Press, vol. 30(5), pages 737-765, September.
    2. Bidard, Christian & Salvadori, Neri, 1995. "Duality between prices and techniques," European Journal of Political Economy, Elsevier, vol. 11(2), pages 379-389, June.
    3. Burmeister,Edwin, 1980. "Capital Theory and Dynamics," Cambridge Books, Cambridge University Press, number 9780521297035.
    4. Osborne, Michael J., 2010. "A resolution to the NPV-IRR debate?," The Quarterly Review of Economics and Finance, Elsevier, vol. 50(2), pages 234-239, May.
    5. Avi J. Cohen, 2003. "Retrospectives: Whatever Happened to the Cambridge Capital Theory Controversies?," Journal of Economic Perspectives, American Economic Association, vol. 17(1), pages 199-214, Winter.
    6. Kurz,Heinz D. & Salvadori,Neri, 1997. "Theory of Production," Cambridge Books, Cambridge University Press, number 9780521588676, January.
    7. Paul A. Samuelson, 1966. "A Summing Up," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 80(4), pages 568-583.
    8. Michael Osborne & Ian Davidson, 2016. "The Cambridge capital controversies: contributions from the complex plane," Review of Political Economy, Taylor & Francis Journals, vol. 28(2), pages 251-269, April.
    9. Asheim, Geir B., 2008. "Paradoxical consumption behavior when economic activity has environmental effects," Journal of Economic Behavior & Organization, Elsevier, vol. 65(3-4), pages 529-546, March.
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    Cited by:

    1. Vienneau, Robert L., 2021. "Fluke Switch Points in Pure Fixed Capital Systems," Centro Sraffa Working Papers CSWP48, Centro di Ricerche e Documentazione "Piero Sraffa".
    2. Carlo Milana, 2019. "Solving the Reswitching Paradox in the Sraffian Theory of Capital," Applied Economics and Finance, Redfame publishing, vol. 6(6), pages 97-125, November.

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