In this paper we propose a maximum entropy estimator for the asymptotic distribution of the hedging error for options … maximising Shannon's entropy subject to a set of moment constraints, which in turn yields the value-at-risk and expected … shortfall of the hedging error. The significance of this approach lies in the fact that the maximum entropy estimator allows us …

The effects of temporal aggregation and choice of sampling frequency are of great interest in modeling the dynamics of … asset price volatility. We show how the squared low-frequency returns can be expressed in terms of the temporal aggregation … of a high-frequency series. Based on the theory of temporal aggregation, we provide the link between the spectral density …