We study properties of the Rearrangement Algorithm (RA) in the context of inferring dependence among variables given their marginal distributions and the distribution of the sum. We show that the RA yields solutions that are “close to each other” and exhibit almost maximum entropy. The...

This paper develops a new approach for variance trading. We show that the discretely-sampled realized variance can be robustly replicated under very general conditions, including when the price can jump. The replication strategy specifies the exact timing for rebalancing in the underlying. The...

We study how the excess market return depends on the time of the day using E-mini S&P 500 futures that are actively traded for almost 24 hours. Strikingly, four hours around European open account for the entire average market return. This period's returns are consistently positive in every year,...