TASK 1Consider the New Keynesian model where there is a representative household that con-sumes, supplies labor, accumulates bonds and accumulates money. The household gets utilityfrom holding real balances. Its problem is:1-o1+4E,+ InP1+0max3tCt,Nt,Bt,Mtt=0s.t.PC; + Q;B + M – M-1 < B-1+ W;N – PT;Variables: C: consumption; N: labor; B: stock of bonds; P: price of goods; M: stock ofmoney; Qt = , price of bonds and the implied yield is 1+i;; Wt: wage; T;: lump-sum taxpaid to a government.Parameters: B: discount factor; o: coefficient of relative risk aversion; o: inverse of Frischelasticity.Derive the first order conditions with respect to C, B, N and M and log-linearise theequations around the steady state. Provide an economic interpretation of the results.1+i

Household aggregate Utility function : E0∑t=0∞βtCt1-σ1-σ-Nt1+ϕ1 +ϕ+ln( MtPt) Economic Constraint :…

Consider the New Keynesian model where there is a representative household that con- sumes, supplies labor, accumulates bonds and accumulates money. The household gets utility from holding real balances. Its problem is: C 1-0 1+ø Eo + In 1+0 Bt max Ct,Nt,Bt,Mt t=0 s.t. PC; + Q,B + M – M-1 < B-1 + W,N – PT, Variables: Ct: consumption; N: labor; B: stock of bonds; P: price of goods; M: stock of 1 price of bonds and the implied vield is 1+i: W.: wage: T: lump-sum tax money: O.

Consider the New Keynesian model where there is a representative household that con- sumes, supplies labor, accumulates bonds and accumulates money. The household gets utility from holding real balances. Its problem is: C 1-0 1+ø Eo + In 1+0 Bt max Ct,Nt,Bt,Mt t=0 s.t. PC; + Q,B + M – M-1 < B-1 + W,N – PT, Variables: Ct: consumption; N: labor; B: stock of bonds; P: price of goods; M: stock of 1 price of bonds and the implied vield is 1+i: W.: wage: T: lump-sum tax money: O.

MACROECONOMICS

14th Edition

ISBN:9781337794985

Author:Baumol

Publisher:Baumol

Chapter13: Monetary Policy: Conventional And Unconventional

Section: Chapter Questions

Problem 8TY

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