Date of Award


Degree Type


Degree Name

Doctor of Philosophy (PhD)




Raja Velu

Second Advisor

Lai Xu


Commonality, High-frequency, Liquidity, Multi-dimension

Subject Categories

Business | Finance and Financial Management


In this thesis, I follow Hasbrouck and Seppi (2001)’s work and use reduced-rank regression to model the commonality in Chapter Two. The literature on the study of return commonality generally attributes its source to the order flow. But I find that return and order flows are endogenous and use the new exogenous Twitter sentiment dataset to show that return commonality may be due to sentiment and attention. Furthermore, I observe the non-linear (linear) relationship between sentiment (attention) and return commonality. Finally, I may export the non-linear relationship using the same reduced-rank regression framework in future research.

I also follow Korajczyk and Sadka (2008)’s work in Chapter Three. They use PCA to extract a systematic liquidity factor from eight liquidity measures and show that it is a priced factor. Previous studies conceptually state that liquidity has multiple dimensions (three to five dimensions). Still, few studies discuss how to extract one or a set of systematic liquidity factors from various liquidity measures. I fill this gap and empirically confirm that the systematic liquidity factor is multi-dimensional and priced multi-dimensionally using the multi-linear PCA (MPCA) method on daily-level data. MPCA allows me to provide a nice explanation of the factor loadings of the systematic liquidity factor. In future work, I want to apply the MPCA method to asset pricing with large dimensions of firm characteristics.


Open Access