Consider a modified aggregate supply function which takes account for the emergence of random business cycle shocks (+) with Ele] -0 in the sense that Yt + y + ₁ The loss function is the same as in exercise 1: L-(-k)²+(₁)² Notation: : random shock; Ele,] expected value of , b: constant parameter, all other variables see Exercise 1. aving considered the scenario above complete the following tasks: a) Derive the central bank's preferred inflation rate and explain. b) The result in a) reads as T₁ = b(k - ÿ) - 146 Explain the economic intuition of this result. c) Consider a more conservative central banker whose loss function is represented by
Consider a modified aggregate supply function which takes account for the emergence of random business cycle shocks (+) with Ele] -0 in the sense that Yt + y + ₁ The loss function is the same as in exercise 1: L-(-k)²+(₁)² Notation: : random shock; Ele,] expected value of , b: constant parameter, all other variables see Exercise 1. aving considered the scenario above complete the following tasks: a) Derive the central bank's preferred inflation rate and explain. b) The result in a) reads as T₁ = b(k - ÿ) - 146 Explain the economic intuition of this result. c) Consider a more conservative central banker whose loss function is represented by
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![Consider a modified aggregate supply function which takes account for the emergence of
random business cycle shocks (ce) with Ele] - O in the sense that
The loss function is the same as in exercise 1:
L- (n - k)* +(m)
Notation: €: random shock; E[e,]: expected value of e; b: constant parameter, all
other variables see Exercise 1.
Having considered the scenario above complete the following tasks:
a) Derive the central bank's preferred inflation rate and explain.
b) The result in a) reads as
T = b(k – j) –
%3D
Explain the economic intuition of this result.
c) Consider a more conservative central banker whose loss
function is represented by
L = }(y – k)? + }(7.)
k) + (m)
Apparently, the preferred inflation rate would read
eb
1+b
TE = 6(k – y) –
What can you say about the relationship between B and b? le i
larger or smaller than b? Provide an explanation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52454c6f-6e48-44f3-93c8-66794e5d29c7%2F299a9824-532e-4a1e-a4e4-1f5e8a6f3f54%2F47dvaaw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider a modified aggregate supply function which takes account for the emergence of
random business cycle shocks (ce) with Ele] - O in the sense that
The loss function is the same as in exercise 1:
L- (n - k)* +(m)
Notation: €: random shock; E[e,]: expected value of e; b: constant parameter, all
other variables see Exercise 1.
Having considered the scenario above complete the following tasks:
a) Derive the central bank's preferred inflation rate and explain.
b) The result in a) reads as
T = b(k – j) –
%3D
Explain the economic intuition of this result.
c) Consider a more conservative central banker whose loss
function is represented by
L = }(y – k)? + }(7.)
k) + (m)
Apparently, the preferred inflation rate would read
eb
1+b
TE = 6(k – y) –
What can you say about the relationship between B and b? le i
larger or smaller than b? Provide an explanation.
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