Aggregate output a Trend level Central 970 YE Y₂ = πT₂ - TE +Y at date y at of out put and k>o 15 اعه bank's loss functua is .. 2 = 9 ( 4₁ - K) ²³² + 1/2 (T) ² - bit 2 • Y₁ = out put π = inflation Loss function a, b, K = Parameters 2 t = time Index.

Principles of Economics 2e
2nd Edition
ISBN:9781947172364
Author:Steven A. Greenlaw; David Shapiro
Publisher:Steven A. Greenlaw; David Shapiro
Chapter22: Inflation
Section: Chapter Questions
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I would like a mathematical derivation of this central bank loss function. Please show step by step of how you achieved the solution. It is important. 

A
| Aggregate
output 22
Central
470
Trend level of out put
y
Y₂ - TE
= πt = πE + Y
at date
प्रु
function
is "
bank's
loss
1 = a_ (y₁₂ - K ) ² + 1 (T) ² - br
2
and k>o
IS
t
G
is;
y = output
JE
The = Inflation
Loss function
2 Parameters
a, b, K 2
t = time Index
Transcribed Image Text:A | Aggregate output 22 Central 470 Trend level of out put y Y₂ - TE = πt = πE + Y at date प्रु function is " bank's loss 1 = a_ (y₁₂ - K ) ² + 1 (T) ² - br 2 and k>o IS t G is; y = output JE The = Inflation Loss function 2 Parameters a, b, K 2 t = time Index
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