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

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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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.
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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