An extended nonlinear feedback (ENLF) model for high inflations is proposed.

In the ENLF model the consumer price index is given by a Hypergeometric function.

This Gaussian Hypergeometric presents a singularity at a finite critical time t_c$t_c$.

Episodes of high inflation occurred in Israel, Mexico, and Iceland were studied.

In all these cases reasonable values for t_c$t_c$ were determined.