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CAPM-based capital budgeting and nonadditivity

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  • Magni, Carlo Alberto

Abstract

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
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    References listed on IDEAS

    as
    1. Stapleton, Richard C, 1971. "Portfolio Analysis, Stock Valuation and Capital Budgeting Decision Rules for Risky Projects," Journal of Finance, American Finance Association, vol. 26(1), pages 95-117, March.
    2. Hamada, Robert S, 1969. "Portfolio Analysis, Market Equilibrium and Corporation Finance," Journal of Finance, American Finance Association, vol. 24(1), pages 13-31, March.
    3. Rubinstein, Mark E, 1973. "A Mean-Variance Synthesis of Corporate Financial Theory," Journal of Finance, American Finance Association, vol. 28(1), pages 167-181, March.
    4. 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.
    5. Donald L. Tuttle & Robert H. Litzenberger, 1968. "Leverage, Diversification And Capital Market Effects On A Risk‐Adjusted Capital Budgeting Framework," Journal of Finance, American Finance Association, vol. 23(3), pages 427-443, June.
    6. Mossin, Jan, 1969. "Security Pricing and Investment Criteria in Competitive Markets," American Economic Review, American Economic Association, vol. 59(5), pages 749-756, December.
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    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.

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    More about this item

    Keywords

    NPV; disequilibrium; CAPM; capital budgeting; nonadditivity;
    All these keywords.

    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

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