We study the theoretical and empirical properties of a simple measure of market illiquidity, namely the realized Amihud, which is defined as the ratio between the realized volatility and trading volume and which refines the popular price impact measure proposed by Amihud (2002). In our model,...

Building on the Liquidity Coverage Ratio created under the Basel III regulatory agreement, this paper introduces the notion of Liquidity Coverage at Risk (LCRisk), which is the probability that a bank becomes insolvent in the next 30-days. LCRisk has a closed-form expression and it can be...

We show that sudden and large price moves in bitcoin prices, which we call jumps, explain a large portion of the variation in bitcoin returns. In order to do so, we use the general utility specification adopted in Maheu et al. (2013) for characterizing the conditional mean of daily bitcoin...

Time series of counts are often characterized by high overdispersion and persistence. These extreme features challenge the existing models. We approach this problem by combining the framework of INAR with a latent Markov structure. We call it HMM-INAR since it belongs to the class of hidden...

The tick structure of the financial markets entails that price changes observed at very high frequency are discrete. Departing from this empirical evidence we develop a new model to describe the dynamic properties of multivariate time-series of high frequency price changes, including the high...

We show that the model for fractional cointegration proposed by Granger (1986) allows for a representation of the solution that demonstrates the fractional and co-fractional properties. Moreover, we show that the stability of the system can be studied by means of the argument principle inherited...