A New Approach to Testing Asset Pricing Models: The Bilinear Paradigm
提出一种基于双线性范式的资产定价模型估计与检验方法，并用套利定价模型验证，发现数据不支持五因子或七因子版本，但三因子版本未被拒绝。
We propose a new approach to estimating and testing asset pricing models in the context of a bilinear paradigm introduced by Kruskal 18. This approach is both simple and at the same time quite general. As an illustration we apply it to the special case of the arbitrage pricing model where the number of factors is pre-specified. The data appear to be generally in conflict with a five or seven factor representation of the model used by Roll and Ross 30. When we consider the number of replications of our test and the large number of observations on which it is performed, the frequency with which we reject the three factor APM does not lead us to conclude that this model is unrepresentative of security returns. Further, the rejection of the five and seven factor versions is to be expected if the three factor version is correct. The paradigm gives insight into the appropriate specification of the model and suggests that there may be a small number of economy wide factors that affect security returns.