The amendment and empirical test of arbitrage pricing models

The classical APT model is of the form rj − E(rj) = Øj (I − EI ) +ε , where rj − E(rj) is the earning deviation (called basic ariance-profit) of the security j, I is a common factor. This paper considers the impact on the securities return caused by the skewness and kurtosis of the stock returns distributions, and poses a re-modified the arbitrage pricing model as follows rj = E(rj ) + Øj (I − EI ) +θj (I − EI )2 +λj (I − EI )3 +δj (I − EI )4 +ε Based on the regression analysis method, and the fitting degree, one can arrive at this re-modified model has a more reasonable explanation level for securities pricing.