3. LaunchPad An economy has the following equation for the Phillips curve: TT = ETT - .5(u - 6) Em 0.7 +0.3 -2 Okun's law for this economy is: (Y-Y-1)/Y=3.0-2.0 (--) The economy begins at its natural rate of unemployment with a stable inflation rate of 5 percent. a. What is the natural rate of unemployment for this economy? b. Graph the short-run tradeoff between infla- tion and unemployment that this economy faces. Label the point where the economy begins as point A. (Be sure to give numerical values for point A.) c. A fall in aggregate demand leads to a reces- sion, causing the unemployment rate to rise 4 percentage points above its natural rate. On your graph in part (a), label the point the economy experiences that year as point B. (Once again, be sure to give numerical values.)

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
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Chapter18: Introduction To Macroeconomics: Unemployment, Inflation, And Economic Fluctuations
Section: Chapter Questions
Problem 13P
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LaunchPad • An economy has the following
equation for the Phillips curve:
3.
T = Et – .5(u – 6)
En = 0.7 7-1 + 0.3 7-2
Okun's law for this economy is:
(Y – Y-1)/Y-1 = 3.0 – 2.0 (u – u-1)
The economy begins at its natural rate of
unemployment with a stable inflation rate of
5 рercent.
a. What is the natural rate of unemployment for
this economy?
b. Graph the short-run tradeoff between infla-
tion and unemployment that this economy
faces. Label the point where the economy
begins as point A. (Be sure to give numerical
values for point A.)
c. A fall in aggregate demand leads to a reces-
sion, causing the unemployment rate to
rise 4 percentage points above its natural
rate. On your graph in part (a), label the
point the economy experiences that year
as point B. (Once again, be sure to give
numerical values.)
d. 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
unemployment, inflation, expected inflation,
and output growth for 10 years beginning
two years before the recession. (These
calculations are best done on a computer
spreadsheet.)
e. On the same graph you used in part (b),
graph the short-run tradeoff the economy
faces at the end of this 10-year period.
Label the point where the economy finds
itself as point C. (Again, use numerical
values.)
f. Compare the equilibrium before the recession
with the new long-run (period ten)
equilibrium. How much does inflation
change? How many percentage points of out-
put are lost during the transition? What is this
economy's sacrifice ratio?
Transcribed Image Text:LaunchPad • An economy has the following equation for the Phillips curve: 3. T = Et – .5(u – 6) En = 0.7 7-1 + 0.3 7-2 Okun's law for this economy is: (Y – Y-1)/Y-1 = 3.0 – 2.0 (u – u-1) The economy begins at its natural rate of unemployment with a stable inflation rate of 5 рercent. a. What is the natural rate of unemployment for this economy? b. Graph the short-run tradeoff between infla- tion and unemployment that this economy faces. Label the point where the economy begins as point A. (Be sure to give numerical values for point A.) c. A fall in aggregate demand leads to a reces- sion, causing the unemployment rate to rise 4 percentage points above its natural rate. On your graph in part (a), label the point the economy experiences that year as point B. (Once again, be sure to give numerical values.) d. 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 unemployment, inflation, expected inflation, and output growth for 10 years beginning two years before the recession. (These calculations are best done on a computer spreadsheet.) e. On the same graph you used in part (b), graph the short-run tradeoff the economy faces at the end of this 10-year period. Label the point where the economy finds itself as point C. (Again, use numerical values.) f. Compare the equilibrium before the recession with the new long-run (period ten) equilibrium. How much does inflation change? How many percentage points of out- put are lost during the transition? What is this economy's sacrifice ratio?
ET = 0.7 #-1 + 0.3 7-2
Okun's law for this economy is:
(Y – Y-1)/Y-1 = 3.0 – 2.0 (u – u-1)
The economy begins at its natural rate of
unemployment with a stable inflation rate of
5 percent.
a. What is the natural rate of unemployment for
this economy?
b. Graph the short-run tradeoff between infla-
tion and unemployment that this economy
faces. Label the point where the economy
begins as point A. (Be sure to give numerical
values for point A.)
c. A fall in aggregate demand leads to a reces-
sion, causing the unemployment rate to
rise 4 percentage points above its natural
rate. On your graph in part (a), label the
point the economy experiences that year
as point B. (Once again, be sure to give
numerical values.)
Transcribed Image Text:ET = 0.7 #-1 + 0.3 7-2 Okun's law for this economy is: (Y – Y-1)/Y-1 = 3.0 – 2.0 (u – u-1) The economy begins at its natural rate of unemployment with a stable inflation rate of 5 percent. a. What is the natural rate of unemployment for this economy? b. Graph the short-run tradeoff between infla- tion and unemployment that this economy faces. Label the point where the economy begins as point A. (Be sure to give numerical values for point A.) c. A fall in aggregate demand leads to a reces- sion, causing the unemployment rate to rise 4 percentage points above its natural rate. On your graph in part (a), label the point the economy experiences that year as point B. (Once again, be sure to give numerical values.)
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