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Four-Moment Asset Pricing Model: Computation Standards and specification Tests for Moment-Related Risk Premia


  • Marie Lambert

    () (Luxembourg School of Finance, University of Luxembourg)


This paper contributes to the literature on systematic co-moments in stock returns by documenting the effects of non-diversified variance, skewness, and kurtosis on asset valuation during the period 1996-2006. Through a methodology similar to that of Fama and French (1993), we derive premia able to capture the shared variation in US stock returns related to the aforementioned three measures of risk recognized by the Positive Preference Theory. Our study elaborates on the intuition that the Fama-French (1993) and Carhart (1997) empirical factors would constitute proxies for asset systematic co-moments with the market aggregate. We, therefore, develop a comprehensive framework able to price commonly risk aversion both towards market variables such as size, book-to-market ratio, and momentum and towards these systematic co-moments. Even if the empirical risk factors and the market premium pick up free variation in returns, we infer from them the pricing related to the first four moments.

Suggested Citation

  • Marie Lambert, 2007. "Four-Moment Asset Pricing Model: Computation Standards and specification Tests for Moment-Related Risk Premia," LSF Research Working Paper Series 07-14, Luxembourg School of Finance, University of Luxembourg.
  • Handle: RePEc:crf:wpaper:07-14

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    More about this item


    Asset Pricing; Hedge Portfolios; Market Risk Fundamentals; Positive Preference Theory; Systematic Co-moments.;

    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


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