“…Likewise for the AROE, the ARG analysis was performed by a simulation procedure for getting the empirical distribution of ARG values for each t, implemented on 10,000 ARG outputs for each value of t. Again in the case of an annuitant aged 65 and the participating quota of 20%, Table 3 shows the values calculated in 0, 5,10,15,20,25,30,35, 40 t = . We report the expected ARG values with the related minimum and maximum and the C-quantiles at 95% and 99%.…”