Abstract: A Monte Carlo simulation is disclosed to propagate model estimate and macroeconomic uncertainties through the calculation of lifetime loss or yield and their uncertainties using a classical computer or a quantum for the purposes of adjusting loan pricing for the uncertainty in the yield.

Abstract: A computer-implemented method and invention for calculating a loan-level model with the age, period, and cohort functions found in the structure of an Age-Period-Cohort models. The invention uses one observation per account per time period, processed with a uniquely structured set of basis functions, so that the model may be estimated with either Generalized Linear Models (GLM) or Generalized Linear Mixed Models (GLMM). The model created by the invention may be used for account-level forecasting or stress testing of the defined performance variable if the historic extrapolation of the period function is detrended, the age and cohort functions are re-estimated appropriately, and a suitable scenario for the future of the period function. Scores may also be created by combining traditional scoring inputs with an account-level offset computed as the sum of the age and period functions at each time point.