The APT Model as Reduced-Rank Regression
作为降秩回归的套利定价理论模型
Integrating the two steps of an arbitrage pricing theory (APT) model leads to a reduced rank regression (RRR) model. So the results on RRR can be used to estimate APT models, making estimation very simple. The authors give a succinct derivation of estimation of RRR, derive the asymptotic variance of RRR estimators for a general cause, and discuss how undersized samples (more assets than time periods) can be dealt with.