Most economic models assume that time preferences are stable over time, but the evidence on their long-term stability is lacking. We study whether and how change life cycle, using representative panel data. provide new discount rates decrease with age decline remarkably linear cycle. Decreasing help a canonical life-cycle model explain saving puzzles of households undersaving when young oversav...

The usefulness of remaining cycle time models for predictive and prescriptive process monitoring depends not only on the overall accuracy predictions but also their earliness: should be as accurate possible, early possible. To give this criterion more weight in model fitting, paper evaluates three L1 loss functions with temporal decay. All have property increasing residuals from stages a relati...