Questions about macroeconomics attached below:

c. The Phillips curve is: 1 = of + (m + z) - all, i. Rewrite this relation as a relation between the deviation of the unemployment rate from the natural rate, inflation, and expected inflation. ii. We have derived the natural rate of unemployment. What condition on the price level and the expected price level was imposed in that derivation? How does it relate to the condition imposed in part a? III. How does the natural rate of unemployment vary with the markup? IV. How does the natural rate of unemployment vary with the catchall term z ? Identify two important sources of variation in the natural rate of unemployment across countries and across time. d. Model of expected inflation: T = (1 - 0) # + 07-1 F Describe the process of the formation of expected inflation when 8 = 0. ii. Describe the process of the formation of expected inflation when 0 = 1