In this exercise, we analyze how loose monetary policy can lead to high rates of inflation. Imagine that at t=1, policymakers observed that GDP was lower than what they expected. So, they assumed that output was below its potential due to a negative aggregate demand shock. Use the IS-MP + Phillips Curve model to predict what happens to short-run output (Ỹₜ) and inflation (πₜ) in each of the following cases: Case A: Assume that there is a negative aggregate demand shock (a < 0) but the Central Bank does not respond so the interest rate is rₜ = ř. Case B: Assume that there is a negative aggregate demand shock (a < 0) and the Central Bank responds by lowering the interest rate: rₜ < ř. Case C: Assume that policymakers misinterpreted the data and what actually happened is that GDP was low because potential output was low, while there was no aggregate demand shock. That is: there is no aggregate demand shock (a = 0) but still the Central Bank responds by lowering the interest rate: rₜ < ř.