"FWIW, the consensus of macroeconomists these days seems to be that LM
should be thrown away and IS kept. LM is based on the monetarist
assumption that the central bank controls and targets the money
supply, but real central banks don't act that way (and may not be able
to do so)"

I'm aware of this Jim. The historical wrinkle of that is though that
modern textbook ISLM is a reinterpretation of Hick's version while at
the time they were multiple versions (harrod and meade's are the most
famous one).

-- 
-Nathan Tankus
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