Please fast solve the question 5) Suppose that an economy has the Phillips curvep 5 p21 2 0.5(u 2 5).a. What is the natural rate of unemployment?b. Graph the short-run and long-run relation-ships between inflation and unemployment.c. How much cyclical unemployment isnecessary to reduce inflation by 4 percentagepoints? Using Okun's law, compute thesacrifice ratio.

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p21 2 0.5(u 2 5). "hat is the natural rate of unemployment? raph the short-run and long-run relation-

Principles of Economics, 7th Edition (MindTap Course List)

7th Edition

ISBN:9781285165875

Author:N. Gregory Mankiw

Publisher:N. Gregory Mankiw

Chapter35: The Short-Run Trade-off Between Inflation And Unemployment

Section: Chapter Questions

Problem 3QCMC

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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.
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 ?
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.
Suppose that an economy has a phillips curve π=π₋₁ -0.5(u-0.08) a) what is the natural rate of unemployement? b) how much cyclical unemployment is necessary to reduce inflation by 5% points? using okun's Law, compute the sacrifice ratio. c) inflation is runnuing 10%. the fed wants to reduce it to 5%. give two scenarios that will achieve that goal.
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?
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%.
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.
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13. Suppose the Phillips curve is represented by the following equation: πt − πt−1 = 20 − 2ut. Given this information, which of the following is most likely to occur if the actual unemployment in any period is equal to 6%? the rate of inflation will tend to increase the rate of inflation will be constant the rate of inflation will tend to decrease none of the above
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)?
1. 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. Graph the short-run tradeoff between inflation and unemployment that this economy faces. Label the point where the economy begins as A. (Be sure to give numerical values for point A.) 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 in part (b), label the point the economy experiences that year as point B.(Be sure to give numerical values.) Unemployment remains at this high level for two years (the initial year described in part (c) and one more), after which it returns to its natural rate. Create a table showing…