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Linear Approximations and Tests of Conditional Pricing Models
[A new approach to international arbitrage pricing]

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  • Michael W Brandt
  • David A Chapman

Abstract

If a nonlinear risk premium in a conditional asset pricing model is approximated with a linear function, as is commonly done in empirical research, the fitted model is misspecified. We use a generic reduced-form model economy with moderate risk premium nonlinearity to examine the size of the resulting misspecification-induced pricing errors. Pricing errors from moderate nonlinearity can be large, and a version of a test for nonlinearity based on risk premiums rather than pricing errors has reasonable power properties after properly controlling for the size of the test. We conclude by examining the importance of moderate nonlinearity in the context of the investment-specific technology shock models of Papanikolaou (2011) and Kogan and Papanikolaou (2014).

Suggested Citation

  • Michael W Brandt & David A Chapman, 2018. "Linear Approximations and Tests of Conditional Pricing Models [A new approach to international arbitrage pricing]," Review of Finance, European Finance Association, vol. 22(2), pages 455-489.
    • Handle: RePEc:oup:revfin:v:22:y:2018:i:2:p:455-489.
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    1. Ferreira, Eva & Gil-Bazo, Javier & Orbe, Susan, 2011. "Conditional beta pricing models: A nonparametric approach," Journal of Banking & Finance, Elsevier, vol. 35(12), pages 3362-3382.
    2. Kan, Raymond & Robotti, Cesare, 2008. "Specification tests of asset pricing models using excess returns," Journal of Empirical Finance, Elsevier, vol. 15(5), pages 816-838, December.
    3. repec:ehu:biltok:5563 is not listed on IDEAS
    4. Roberto Steri, 2015. "Collateral-Based Asset Pricing," 2015 Meeting Papers 293, Society for Economic Dynamics.
    5. Ferreira, Eva & Gil-Bazo, Javier & Orbe, Susan, 2008. "Nonparametric estimation of conditional beta pricing models," DEE - Working Papers. Business Economics. WB wb082403, Universidad Carlos III de Madrid. Departamento de Economía de la Empresa.
    6. Elkamhi, Redouane & Jo, Chanik, 2023. "Asset holders’ consumption risk and tests of conditional CCAPM," Journal of Financial Economics, Elsevier, vol. 148(3), pages 220-244.

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    More about this item

    Keywords

    Conditional asset pricing model; Nonlinear risk premiums; Testing;
    All these keywords.

    JEL classification:

    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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