measure proposed by Amihud (2002). In our model, both price volatility and market liquidity are assumed to follow stochastic … processes in continuous time. In this setting, characterized by stochastic volatility and liquidity, we prove that the realized … Amihud provides a precise measurement of the inverse of integrated liquidity over fixed-length periods (e.g., a day, a week …

Classical option pricing theories are usually built on the law of one price, neglecting the impact of market liquidity … liquidity model, extending the discrete-time constant liquidity model of Madan (2010). With this extension, we can replicate the … stochastic liquidity model within our framework using multidimensional binomial trees and we calibrate it to call and put options …