 This property is trivial since

formula_16

As a consequence, the use of the MAPE is very easy in practice, for example using existing libraries for quantile regression allowing weights.The use of the MAPE as a loss function for regression analysis is feasible both on a practical point of view and on a theoretical one, since the existence of an optimal model and the consistency of the empirical risk minimization can be proved.Problems can occur when calculating the MAPE value with a series of small denominators.