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what assumption/assumptions is /are required to generate a vertical IS curve, and which school of macroeconomic...

what assumption/assumptions is /are required to generate a vertical IS curve, and which school of macroeconomic thought would you associate this/these assumption/assumptions to?
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The assumption for vertical IS curve is that the investment demand is insensitive is to the interest rate i.e. in the investment function I = a-bi ; b= 0. These assumptions are associated with Neo-Classical school of thought

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