A Matter of Interest

Eugen Ritter von Böhm-Bawerk, an important economist of the second generation of the Austrian School, produced a theory of interest rates based upon the interplay of time-preference with the significance of time in production. (Previous theories had either looked towards just the one or towards just the other, or sought explanation in terms of social power.) This theory was adopted by Knut Wicksell and by Irving Fisher. Fisher translated most of the theory into neo-classical, mathematical terms. Hans Mayer provided one important element that Fisher had missed. I was exposed to this neo-classical translation by J[ames] Huston McCulloch in an undergraduate course on money and banking.

Years later, towards creäting a fuller explanation, I played with relaxing some of the assumptions. And some time after that, I wrote a paper for a graduate class in which I extended Fisher's two-period model to handle continuous time (by way of a space of ℵ1 dimensions). I've occasionally thought to write-up that aforementioned fuller explanation, but mostly been put-off by the task of generating the involved graphs to my satisfaction.

Recently, I was sufficiently moved to begin that project. I wasn't imagining doing anything much other than fleshing-out a translation previously effected by others, so I was considering publishing the exposition as a webpage, or as a .pdf.

But, as I've labored it, trying to be clear and correct and reasonably complete, I've seen how to talk about some old disagreements amongst economists that I don't know were ever properly settled — perhaps these quarrels were not even properly understood by any of the major disputants, who each may have been talking past the others. So I may steer towards producing something that I can submit to an academic journal. (The unhappy part of doing that would be identifying and reviewing the literature of the conflict, with which I currently have only second-hand familiarity.)

Perhaps I'll produce both something along the lines that I'd originally intended, and a paper for a journal.

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