Plot the above AD-AS curves on the (Y, T) diagram. Describe the slopes of both the AD curve and the AS curve. b. If the economy is currently at its long-run trend, what should be the equilibrium output? What is the equilibrium inflation rate in this economy? What should be the equilibrium expected inflation rate in this economy? c. Assume that expected inflation rate is constant at 5 percent. What happens when the oil price increases by 5 percent (v = 0.05)? What is the equilibrium level of output? What is the equilibrium level of inflation? d. Assume that expected inflation rate is constant at 5 percent. What happens for today and 1 period after when money supply increases by 1 (m = 1)? (current period and the long-run period) What is the equilibrium level of output today and 1 period after? What is the equilibrium level of inflation today and 1 period after?

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Chapter1: Making Economics Decisions
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1. Assume that the AD curve of the economy is given by
Y = 15 – 100t + ñ,
where m is a demand shock (animal spirits, government spending, or money supply). The AS
curve is given by
1
TT = En +
(Y – Ỹ) + ū,
50
where v is a supply shock (oil price, productivity). The variable n is the inflation rate, En is
expected inflation rate, Y is output, and Y is long-run output. For numerical values, Y =
10, ñ = ū = 0.
Answer each equation using both graphs and math.
a.
Plot the above AD-AS curves on the (Y, t) diagram. Describe the slopes of both the AD
curve and the AS curve.
b. If the economy is currently at its long-run trend, what should be the equilibrium
output? What is the equilibrium inflation rate in this economy? What should be the
equilibrium expected inflation rate in this economy?
Assume that expected inflation rate is constant at 5 percent. What happens when the
oil price increases by 5 percent (ū = 0.05)? What is the equilibrium level of output?
C.
What is the equilibrium level of inflation?
d. Assume that expected inflation rate is constant at 5 percent. What happens for today
and 1 period after when money supply increases by 1 (m = 1)? (current period and the
long-run period) What is the equilibrium level of output today and 1 period after? What
is the equilibrium level of inflation today and 1 period after?
e. Now, assume that expectations are adaptive. That is, En = n-1, where n-1 is inflation
in the previous period. Starting from the long-run trend, what happens for 2 periods
when money supply permanently increases by 1 (m = 1)? (today and 1 period ahead)
What is the equilibrium level of output today and 1 period ahead? What is the
equilibrium level of inflation today and 1 period ahead?
f. Assume instead that expectations are rational. That is, the agents solve the above AD-
т
AS model and expect inflation to be En = 0.05 +
100
+What happens to expected
inflation when money supply increases by 1 (m = 1)? Given this expected inflation,
what is the equilibrium level of output today and 1 period ahead? What is the
equilibrium level of inflation today and 1 period ahead?
g. Based on your answers to d., e., and f., describe the effectiveness of monetary policy
under different assumptions on inflation expectations.
Transcribed Image Text:1. Assume that the AD curve of the economy is given by Y = 15 – 100t + ñ, where m is a demand shock (animal spirits, government spending, or money supply). The AS curve is given by 1 TT = En + (Y – Ỹ) + ū, 50 where v is a supply shock (oil price, productivity). The variable n is the inflation rate, En is expected inflation rate, Y is output, and Y is long-run output. For numerical values, Y = 10, ñ = ū = 0. Answer each equation using both graphs and math. a. Plot the above AD-AS curves on the (Y, t) diagram. Describe the slopes of both the AD curve and the AS curve. b. If the economy is currently at its long-run trend, what should be the equilibrium output? What is the equilibrium inflation rate in this economy? What should be the equilibrium expected inflation rate in this economy? Assume that expected inflation rate is constant at 5 percent. What happens when the oil price increases by 5 percent (ū = 0.05)? What is the equilibrium level of output? C. What is the equilibrium level of inflation? d. Assume that expected inflation rate is constant at 5 percent. What happens for today and 1 period after when money supply increases by 1 (m = 1)? (current period and the long-run period) What is the equilibrium level of output today and 1 period after? What is the equilibrium level of inflation today and 1 period after? e. Now, assume that expectations are adaptive. That is, En = n-1, where n-1 is inflation in the previous period. Starting from the long-run trend, what happens for 2 periods when money supply permanently increases by 1 (m = 1)? (today and 1 period ahead) What is the equilibrium level of output today and 1 period ahead? What is the equilibrium level of inflation today and 1 period ahead? f. Assume instead that expectations are rational. That is, the agents solve the above AD- т AS model and expect inflation to be En = 0.05 + 100 +What happens to expected inflation when money supply increases by 1 (m = 1)? Given this expected inflation, what is the equilibrium level of output today and 1 period ahead? What is the equilibrium level of inflation today and 1 period ahead? g. Based on your answers to d., e., and f., describe the effectiveness of monetary policy under different assumptions on inflation expectations.
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