  Practitioners sometimes suggest to use a combination of Sobol sequences and
orthonormal polynomials when applying an LSMC algorithm for evaluation of
option prices or in the context of risk capital calculation under the Solvency
II regime. In this paper, we give a theoretical justification why good
implementations of an LSMC algorithm should indeed combine these two features
in order to assure numerical stability. Moreover, an explicit bound for the
number of outer scenarios necessary to guarantee a prescribed degree of
numerical stability is derived. We embed our observations into a coherent
presentation of the theoretical background of LSMC in the insurance setting.
