16. Assume that economy has the following Phillips curve n = n° – 2(u – 0.05). Further assume that ne = n_1. Suppose that at period zero, u = 0.05 and n° = 0.09. - a. Now assume that the government decides to reduce inflation to 3% but does not want unemployment to exceed 6% in any period. Create a table of 1, nºand u for the transition to n = 0.03. how many periods will the disinflation take? b. Calculate how much unemployment is needed to complete disinflation in

16. Assume that economy has the following Phillips curve n = n° – 2(u – 0.05). Further assume that ne = n_1. Suppose that at period zero, u = 0.05 and n° = 0.09. - a. Now assume that the government decides to reduce inflation to 3% but does not want unemployment to exceed 6% in any period. Create a table of 1, nºand u for the transition to n = 0.03. how many periods will the disinflation take? b. Calculate how much unemployment is needed to complete disinflation in

Principles of Economics 2e

2nd Edition

ISBN:9781947172364

Author:Steven A. Greenlaw; David Shapiro

Publisher:Steven A. Greenlaw; David Shapiro

Chapter21: Unemployment

Section: Chapter Questions

Problem 41CTQ: Unemployment rates have been higher in many European countries in recent decades than in the United...

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Unemployment rates have been higher in many European countries in recent decades than in the United States. Is the main reason for this long-term difference in unemployment rates more likely to be cyclical unemployment or the natural rate of unemployment? Explain briefly.
Would you expect to see long-run data trace out a stable downward-sloping Phillips curve?
What tradeoff does a Phillips curve show?
Suppose that the Phillips curve is given byπ t = π te − α ( u t − u n ) ,where the estimated value of the natural rate of unemployment, un = 4.5% and α = 0.4. The expectations are myopic (i.e. fully backward), thus πte = πt−1.a) What is the sacrifice ratio in this economy? Explain in words.Suppose that at time t = 0 unemployment is initially equal to the natural rate (i.e. u0 = 4.5%) and π0 = 7.5%. The central bank decides that 7.5% inflation is too high and that starting in year 1 it will decrease inflation to 3.5%.
Consider the expectations adjusted Phillips’s curve and assume that expected inflation is given by πet = πt-1. Suppose that unemployment is initially equal to the natural rate and that π=10%. The central bank decides that inflation is too high and that, starting in year t, it will maintain the unemployment rate 1% point above the natural rate until the inflation rate has decreased to 2%. (a) What is the sacrifice ratio in this economy [Hint: the sacrifice ratio is the percentage of a year’s excess unemployment needed to reduce inflation by 1%. For a Philips curve given as πet − πt −1 = −α (ut − un ), the sacrifice ratio is 1/α]? (b) Compute the rate of inflation for year t, t+1, t+2, t+3, …, t+8. (c) For how many years must the central bank keep the unemployment rate above the natural rate of unemployment? Is the implied sacrifice ratio consistent with your answer to (a)?
Suppose πt = πt−1 −2(ut −0.04) is the Phillips Curve equation in the economy. Answer thefollowing questions.a. What is the natural rate of unemployment?b. Graph the short run and the long run relationship between inflation and unemployment.c. How much cyclical unemployment is necessary to reduce inflation by 10 percentagepoint?d. The inflation is running at 12 percent. The Central Bank wants to reduce it to 9 percent.Give two scenarios that will achieve the goal.
An economy has the following equation for the Phillips Curve: π = Eπ − 0.5(u − 6)People form expectations of inflation by taking a weighted average of the previous two years of inflation: Okun’s law for this economy is: Eπ = 0.7π−1 + 0.3π−2 (Y −Y−1)/(Y-1)=3.0−2.0(u−u−1) Th economy begins at its natural rate of unemployment with a stable inflation rate of 5 percent. 1. What is the natural rate of unemployment for this economy? 2. Graph the short-run tradeoff between inflation and unemployment that this economy faces. Label the point where the economy begins as A. 3. A fall in aggregate demand leads to a recession, causing the unemployment rate to rise 4 percentage points above its natural rate. On your graph, label the point the economy experiences that year as point B.
15. Suppose that the relationship between inflation rate (π) and unemployment rate (u) is described by the following equation: πt – πte = (m + z) – αut where m = 0.05, z = 0.04, and α = 2. In this economy, the authorities keep unemployment rate at 4% forever. a. If the modified Philips curve describes the relationship between π and u correctly, how should “πte” be specified? Rewrite the equation using this specification. Assume that πt–1 = 1%. Compute πt, πt+1, and πt+2. b. Do you believe the answer in part (a)? Why or why not? c. Derive the natural rate of unemployment.
Suppose that an economy has the Phillips curvep=p-1 - O.S(u - 0.06),a) What is the natural rate of unemployment?b) Graph the short-run and long-run relationships between inflation and unemployment.c) How much cyclical unemployment is necessary to reduce inflation by S percentage points?d) Using Okun's law, compute the sacrifice ratio e.e)Inflation is running at 10 percent. The Fed wants to reduce it to 5 percent. Give Iwoscenarios that will achieve that goal.
4: Suppose that a fall in consumer spending causes a recession.a) Illustrate the immediate change in the economy using both an aggregate-supply/aggregate demanddiagram and a Phillips-curve diagram. On both graphs, label the initial long-run equilibrium as point Aand the resulting short-run equilibrium as point B. What happens to inflation and unemployment in theshort run?
5. Consider the Phillips curve πt = πt-1 – 0.5(ut – 0.01). a) What is the natural rate of unemployment? Graph the short-run and long-run relationships between inflation and unemployment? b) How much unemployment is necessary to reduce inflation by 3%? Compute the sacrifice ratio. Show your work. c) Do flexible exchange rates permit a country to pick its own unemployment-inflation trade-off target?
The Philips curve in an economy is given by a = Επ- 0.5 (u - 6). Assume that the economy starts out at its natural unemployment rate and expected inflation Ex = 5.25%. If output decreases by 2%, using Okun's Law and the Phillips curve relation, what is actual inflation π ?