The purpose of this note is to examine, theoretically, why the market risk premium (R^_ g\ raa y influence tests of asset pricing models with higher moments.When moments of higher order than the variance are added to a pricing model developed within the usual two-fund separation assump- tions, the market risk premium enters the pricing equation in a nonlinear fashion and is implicit in the estimation of each moment's coefficient.Unless this nonlinearity is recognized, incorrect conclusions regarding the tests of such models may result.
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Sears et al. (1985) studied this question.
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