Just for the birds, imagination is the limit to predict.
I was invited to share the design of the Mathcad DAEP.
Any piece of math that looks good a predictor, predicts.
All ODEsolve are predictors.

IMHO, the Spline2 [Mathcad 11 DAEP] is a statistical spline,
only valid within the range of the data. However, as it outputs
smoothed data, you can fit/extrapolate from other good tools.
By coincidence, I have conserved the "HadCRU global warming"
smoothed Mathcad DAEP Spline2 and reconstructed Padé rational
fraction... a trustable predictor.
Mathsoft was granted permission to code Spline2 from their
originators ... why not Smath ? Next is the GenfitMatrix
that was designed in Mathsoft times for getting the rational fraction.
Some rational fraction are possible in Smath, but not so easily
than In Mathcad [Smath does not have "genfit" equivalent.

On the other hand, predict is only on short over range.
Please, attach some data sets ... but not from finance.

Data for Wendy's net earnings: 1,118,252,000 1,030,780,000 1,179,005,000 942,086,000 156,217,000 74,328,000 92,037,000 97,607,000 83,857,000 96,439,000 304,458,000 314,638,000 724,049,000 1,243,407,000 1,247,636,000 2,302,600,000 2,442,157,000 2,379,764,000 2,421,483,000 2,498,100,000 2,441,900,000 1,939,700,000 1,709,200,000

22 data points; project to the next 10 periods and do a graph of the results.