The LaPlace transform is also isomorphic to the net present value problem in finance. The Wiki article on net present value even links to a paper pointing this out from a finance POV. (The problem of how the net present value of a flow varies with changes in the discount rate is also of some theoretical interest in finance, since it clarifies the conditions under which the so-called 'roundaboutness' of e.g. an investment is well defined.)
Can you expound on this? I recently applied some classic signal processing techniques to help reconcile my personal tax accounting by tracking coherence. This sorta works if you consider double-entry accounting as reverb in a linear time-invariant chamber (or echoes with unknown delay). I would love hear about any non-traditional applications of DSP.