In this article, we establish several deviations for convex and coherent entropic risk measures. Firstly, we provide several deviations for the two risk measures with respect to relative entropy. Secondly, we provide several deviations for the two risk measures with respect to parameters....

In this article, we consider the problem of the minimal entropy martingale measure of a jump process influenced by jump times. The minimal entropy martingale measure of the price process is given out by the exponential martingale method, and the expression of the corresponding relative entropy...