We argue that Islamic principles, in particular the avoidance of ribā and gharar should be applied with respect to real economic value rather than to monetary value in terms of conventional currency. In order to reconcile monetary value with economic value, we propose a reference currency...

The present manuscript provides a basis in non-life insurance mathematics and statistics which form a core subject of actuarial science. It discusses collective risk modeling, individual claim size modeling, approximations for compound distributions, ruin theory, premium calculation principles,...

Recent developments allow a nonparametric separation of the continuous sample path component and the jump component of realized volatility. The jump component has very different time series properties than the continuous component, and accounting for this allows improved forecasting of future...