  In the context of life insurance with profit participation, the future
discretionary benefits ($FDB$), which are a central item for Solvency~II
reporting, are generally calculated by computationally expensive Monte Carlo
algorithms. We derive analytic formulas to estimate lower and upper bounds for
the $FDB$. This yields an estimation interval for the $FDB$, and the average of
lower and upper bound is a simple estimator. These formulae are designed for
real world applications, and we compare the results to publicly available
reporting data.
