IDEAS home Printed from
   My bibliography  Save this paper

CAPM-based capital budgeting and nonadditivity


  • Magni, Carlo Alberto


This paper deals with the CAPM-derived capital budgeting criterion, and in particular with Rubinstein’s (1973) criterion, according to which a project is profitable if the project rate of return is greater than the risk-adjusted cost of capital, where the latter depends on the project’s disequilibrium systematic risk. It is shown that the disequilibrium net present value implied by this criterion, widely used in corporate finance, is nonadditive. Four proofs are provided: (i) a counterexample taken from Copeland and Weston (1988), (ii) a modus-tollens argument showing that this notion of NPV is incompatible with additivity, (iii) a formalization showing that this NPV does not fulfil the principle of description invariance (iv) an example showing that CAPM-minded evaluators may incur arbitrage losses.

Suggested Citation

  • Magni, Carlo Alberto, 2006. "CAPM-based capital budgeting and nonadditivity," MPRA Paper 7290, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:7290

    Download full text from publisher

    File URL:
    File Function: original version
    Download Restriction: no

    File URL:
    File Function: revised version
    Download Restriction: no

    File URL:
    File Function: revised version
    Download Restriction: no

    File URL:
    File Function: revised version
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    1. Hamada, Robert S, 1969. "Portfolio Analysis, Market Equilibrium and Corporation Finance," Journal of Finance, American Finance Association, vol. 24(1), pages 13-31, March.
    2. Bierman, Harold, Jr & Hass, Jerome E, 1973. "Capital Budgeting Under Uncertainty: A Reformulation," Journal of Finance, American Finance Association, vol. 28(1), pages 119-129, March.
    Full references (including those not matched with items on IDEAS)


    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.

    Cited by:

    1. Tor Brunzell & Eva Liljeblom & Mika Vaihekoski, 2013. "Determinants of capital budgeting methods and hurdle rates in Nordic firms," Accounting and Finance, Accounting and Finance Association of Australia and New Zealand, vol. 53(1), pages 85-110, March.
    2. Magni, Carlo Alberto, 2009. "Correct or incorrect application of CAPM? Correct or incorrect decisions with CAPM?," European Journal of Operational Research, Elsevier, vol. 192(2), pages 549-560, January.

    More about this item


    NPV; disequilibrium; CAPM; capital budgeting; nonadditivity;

    JEL classification:

    • 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
    • M21 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics - - - Business Economics


    Access and download statistics


    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:7290. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Joachim Winter). General contact details of provider: .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.