Testing the APT with the Maximum Sharpe Ratio of Extracted Factors
提出一种检验渐近套利定价理论的方法,通过Connor-Korajczyk方法从个股中提取因子并计算最大平方夏普比率,发现多数60个月子样本中该比率超过0.25的假设被拒绝,且平均定价误差小于0.001,支持渐近APT。
This paper develops a test of the asymptotic arbitrage pricing theory (APT) via the maximum squared Sharpe ratio of the factors extracted from individual stocks using the Connor-Korajczyk method. The test treats the beta pricing relation as approximate without predetermining the systematic factors, unlike the existing tests that take the relationship as exact and systematic factors as given. This paper also examines the magnitude of pricing errors bounded partly by the maximum squared Sharpe ratio. For most 60-month subperiods of the sample, the hypothesis that the maximum squared Sharpe ratio for monthly returns is greater than 0.25 can be rejected. Simulation indicates that the average pricing error in monthly returns is less than 0.001. These results support the asymptotic APT.