This paper investigates the relative importance of monetary transmission channel to inflation of passing persistent shock to the risk premium. The finding show that nominal exchange rate depreciation triggered by a more persistent shock to interest risk premium worsens the state of the economy in the short- and long-run. Such distinctive shock effect is transmitted through the economy that typifies lack of response of consumer price disinflation to interest rate tightening caused by high real rigidity strong cost channel of interest rate strong cost channel of exchange rate pass-through and weak demand-side channel of exchange rate pass-through. This study suggest a proper monetary policy response which is the smallest interest rate increases within the feasible set of monetary policy responses that the model recommends to minimize the adverse effects of the shocks.