Internship - Predicting confidence bands for future account balances

There are many standard models and methodologies available that can provide the usual point predictions when it comes to time series forecasting, ranging from classical (linear) models to machine learning models to foundation models. However, when not only point predictions are desired, but also a confidence or uncertainty range, then finding a suitable solution becomes much more difficult. Many standard models, such as the bulk of machine learning models, do not provide a way to learn and predict confidence intervals out of the box. Classical models often do provide confidence levels but are generally limited in the types of times series that they can describe well.…