Suppose the Phillips curve is given by the following: Πι = π + (μ + z) – aut 2ut πι = π + 0.1 Where: π} = θπι–1 Suppose initially, 0 = 0 a. What is the natural rate of unemployment? b. Suppose ut = un. In year t, government authorities decide to bring the unemployment rate down to 3% and hold it there forever. Determine the rate of inflation in years t, t+1, t+2.

According to the figure below, Inflation Rate (percent) 8 7 6 3 2 1 0 b. PC2? PC2 % 1 % 2 PC₁ 3 4 Rightward AS shifts cause leftward Phillips curve shifts. 5 6 What inflation rate would occur if the unemployment rate were 5 percent, with Instructions: Round your responses to the nearest 0.5 percent (e.g., 1.0, 1.5, 2.0). a. PC₁? Unemployment Rate (percent) 7 8

Consider an economy for which wage and price inflation are initially 3% under a zero output gap. Calculate price inflation by the end of the current period under a new output gap of 6%. (Hint: you need to use the Phillips curve equation)

Each point on a Phillips curve is a different combination of: O the interest rate and investment. inflation and unemployment. O saving and disposable income. O price and quantity.

Assume that expected inflation is based on the following: n = 0+1. An increase in 8 will cause a. a reduction in the natural rate of unemployment. b. an increase in the natural rate of unemployment. c. inflation in period t to be more responsive to changes in unemployment in period t. d. None of the other answers is correct. e. no change in the natural rate of unemployment.

Consider the model of unemployment with job separation rate s = 0.05 and job finding rate f = 0.20. If the unemployment rate U = 10,000, L = 200,000, and E = 190,000 then what will the natural rate of unemployment be? Please show your calculation. If U were to fall to 5,000 because of an exogenous shock, how would the unemployment rate change in the short run? In the long run? If s were to fall to 0.03 because of an exogenous shock, how would the unemployment rate change in the short run? In the long run?

The following graph depicts the short-run and long-run Phillips curves (SRPC and LRPC) for a hypothetical economy in long-run macroeconomic equilibrium at point A, where the natural unemployment rate is 6% and the current inflation rate is 8% per year.

Consider a version of the Phillips curve where a proportion of wages, 1 >> 0, are now indexed to the rate of inflation. In these labor contracts, nominal wages move one-for-one with the actual price level. The remaining proportion of wages, (1-2), are set on the basis of expected inflation: nt λnt (1) et+ (m+z)-aut (2) a. Suppose that лet=πt-1. Solve for the natural rate of unemployment (the rate such that t=t-1). Is the natural rate of unemployment different as a result of wage indexation? b. Re-write the Phillips curve in terms of the difference between чt and un using the value for un you calculated in (a). How does wage indexation impact the way changes in inflation respond to deviations of the unemployment rate from the natural rate? What is the intuition for this result?

Consider the Friedman-Phelps model of the Phillips Curve as discussed in lecture. Assume the economy is currently at Y-full employment. When the Fed sells government securities to the public, and there are no other exogenous shocks to the economy, which one of the following is predicted to happen? The actual inflation rate increases, and the unemployment rate increases permanently. O The actual inflation rate increases, and the unemployment rate increases first and then gradually goes back to the natural rate of unemployment. O The actual inflation rate decreases, and the unemployment rate increases first and then gradually goes back to the natural rate of unemployment. The actual inflation rate decreases, and the unemployment rate increases permanently. The actual inflation rate decreases, and the unemployment rate decreases first and then gradually goes back to the natural rate of unemployment.

Illustrate the effects of the following developments on Phillips curves. Give the economic reasoning underlying your answers. a) In order to increase the amount of highly skilled labour in Indonesia, the government decided to make an online training program. What will happen to the Phillips Curve?