Article ID: | iaor200969119 |
Country: | United States |
Volume: | 55 |
Issue: | 7 |
Start Page Number: | 1255 |
End Page Number: | 1266 |
Publication Date: | Jul 2009 |
Journal: | Management Science |
Authors: | Zhang Chu |
Keywords: | arbitrage |
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.