In this paper, I developed a new cost channel of monetary policy transmission in a small scale, dynamic, general equilibrium model. The new cost channel of monetary policy transmission implies that the frequency of price adjustment increases in the nominal interest rate. I found that allowing for the new cost channel can account both for the muted and delayed inflation response and for the persistence of the output response to monetary policy shocks. Without any additional assumption, my model can also generate the delayed output response, though for a slightly more competitive goods market calibration
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