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EFIM20034 INTERMEDIATE MACROECONOMICS
创建日期：2024-08-26 16:41:00
所属分类：经济Economics
标签： EFIM20034
INTERMEDIATE MACROECONOMICS

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EFIM20034


INTERMEDIATE MACROECONOMICS

May 2024 Examination Period

SECTION A

Instructions for this Section: Answer the TWO questions below

1.  [33 marks] Consider an economy composed of two overlapping generations of households that live for two periods.  Households work in both periods: in the first period, the household born at tsupplies, by choice, l1,t  units of labour (0 < l1,t < 1); while in the second period they must supply one third of a unit of labour.  Formally, the decision of the household at time t is to

subject to the following lifetime budget constraint

with Ut: lifetime utility of the household; rt+1: real interest rate at time t + 1; wt  (wt+1): wage per unit of labour at t (t + 1); c1,t (c2,t+1):  consumption at t (t + 1);  w tl1,t:  period t labour income (so wt(1 ? l1,t) is the implicit value of period t leisure time);  wt+1 3/1: period t + 1 labour income; and σ 1  and σ2  are consumption taxes on the  (typical) goods and services bought when young and old, respectively.

(a) Without doing any calculations, use your knowledge of income and substitution effects to explain how optimal period t consumption c1,t  might be affected by a rise in

(i) σ 1; (ii) σ2; (iii) rt+1; (iv) wt  and (v) wt+1 . [10 marks]

It can be shown (but you are not being asked to show ithere) that optimal savings at(*)+1  and labour supply l t  are given by, respectively,

(b) Look at equation (4).

(i) Does it surprise you that optimal labour supply l t  depends the way it does on σ 1 ?

Explain your answer.

(ii) And why does l t not depend on σ2 ? Explain your answer. [4 marks]

(c) Now look at equation (3). Recalling, that the period t budget constraint of the household

is at+1  = w tl1,t ? (1 + σ1 )c1,t, and your answers to parts (a) and (b), explain why optimal savings at(*)+1  depends negatively on σ 1 . [4 marks]

Suppose that the economy is in the steady state, there is no technological progress nor pop- ulation growth. Output Yt  is produced by perfectly competitive firms using physical capital Kt and labour Lt  with the production function Yt  = Kt2/1 .  Physical capital depreciates com- pletely in one period.  Labour is a homogeneous factor, so Lt  = Nl t + N = N (l t

where N stands for the number of individuals per generation. Given our assumption regard- ing capital depreciation, the respective rental rates of Kt  and Lt  are 1 + rt  and wt.

(d) Use this new information to show that at(*)+1  – from equation (3) –  can be rewritten as

follows:

with kt  = Kt/Lt and kt+1  = Kt+1/Lt+1 capital per unit of labour variables. [4 marks]

(e) Now  use the capital market equilibrium condition and the previous results to argue

whether or not tax rates σ 1  and σ2  crowd-out capital accumulation in this economy. [4 marks]

(f) Finally, use the Lagrangian method to show that the constrained optimization problem of equations (1) and (2) results in the following optimal period t choice:

[7 marks]

2.  [33 marks] Consider the following 3-equation two agent new Keynesian (TANK) model of an economy:

with xt the output gap at t; rt  the real interest rate at t; πt  the inflation rate at t; r(ˉ) a constant; π(ˉ) the inflation target; Et  the expectations operator conditioned on time-t information (this includes the values of all variables and shocks up to time t).

Parameter θ is given by χ and Λ positive parameters.

There are two shocks in the model, a zero-mean cost-push shock u-t with no-persistence, and a zero-mean AR(1) demand shock gt  with positive persistence.  Formally, {u-t} ~IID(0, σ) and

with {g-t} ~IID(0, σ)

(a) Briefly explain how the TANK model differs from the representative agent new keynesian (RANK) model. [4 marks]

(b) Show that this TANK model can be reduced to a system of two difference equations in xt and πt and then check,using either of these, that the solutions for xt and πt are given by:

[10 marks]

(c) Without doing any calculations, explain how the solutions given in part (b) would change if the central bank conducted monetary policy according to the following rule instead of the one given above:

[4 marks]

(d) Assume the economy was in long-run equilibrium at time ?1. Let Λ = 1/2 and r(ˉ) = 0.02. At time 0 the economy is hit by a pandemic which translates into a simultaneous negative demand shock g0  = ?1 and a positive cost-push shock u(^)0  = 2.

Use the solutions in part (b) to show graphically (in an IS diagram and a Phillips Curve diagram) how these two combined shocks would affect the economy when χ = 1/2.

Briefly explain the intuition for why xt  and πt  respond the way they do.     [9 marks]

(e) Now suppose the demand shock also has no persistence: gt  = g-t , with {g-t} ~IID(0, σ). It can be shown (but you are not being asked to show it) that the solution in part (b) for xt and πt changes to:

Assuming that χ = 3/2 and recalling that show whether xt  and πt ?

more volatile or less volatile in the TANK economy (where, recall, Λ = 1/2) than in the RANK economy (where Λ is equal to 0).

Hint: consider what happens to the variance of xt and πt ? π(ˉ) in the two economies.     [6 marks]

SECTION B

Instructions for this Section: Answer ONE of the THREE questions below

3.  [34 marks] Consider an economy well described by the neoclassical growth model with a production function Y  = K3/6 (AL)1/6 F2/6  that depends on three factors of production (inputs), K , L and F. The letter Y denotes output, K the capital stock, L the constant labour force, F constant (fixed) resources, and letter A (A > 0) is an index of productive efficiency which grows at a constant rate over time. Assume the economy is at the steady state.

How would you characterise the steady state of this economy?  If it suddenly increased its saving rate, would it experience faster growth and rising standards of living? If so, why? And how does your answer depend on the time horizon? Explain all your answers.

4.  [34 marks] “Here is the current situation in many developed countries:

First, people aged 65 and over now account for a quarter or more of the adult population, and their share of the population is still rising.

Second, most of the aged 65 to 75 are in good health and surveys show that many would be supportive of “truly lifelong” learning and employment policies.

Third, despite all the support offered to families, fertility decline is here to stay. Until recently, it was driven by families having fewer children than their parents, now the key dynamic is childlessness: children do not fit into many millenials’ life plans.

So, although it is not surprising that the long-term sustainability of these countries’ current pay-as-you-go state pension systems is being questioned, the path to sustainability is also pretty obvious.”

Do you agree with this view? Explain and discuss.

5.  [34 marks] Economists argue that an important reason for the 2008-9 global financial crisis was what many consider as excessive debt accumulation in the period leading up to the crisis. Economists also note that during the crisis the UK stock market and UK house prices saw one of their biggest crashes in recorded history.

Given the information above, use consumption theory to explain why the UK households’ savings ratio increased significantly during the crisis (from about 3% pre-crisis to about 8% during the crisis) and then remained high for the next five years.

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MAS316/414 ACCT2522 MSIN0181 ATMS 201 COMP3425 MATH7861 SOLA2060 MA 325 7CCEMCTH ECON 432 INFT2051 SOLA 2060 ECOS2002 Stats141XP BIOA02H3 S2022 MA4601 K5 COMP5329 EG 284 IB3A70 WECO1020 COMP3027 Energy ACS61011 MAST20026 STAT 533 MATA31 ENVS257 BEM2031 EC 486 COMP0172 CS3214 EECE5644 IB2B20 COSC2536 COSC1147 COMP6214 5CCM242A COMP0130 AMME2000 MTMG50: EG238 ACF6006 QBUS2810 COSC2391 ECON7560 MATH377 STA305 CS 486 COMP1117B EL648 ELEC3909 ECON 241 COMP 4901W BUSI4428 ENEN20002 ENGN4524 ELEC3115 CSC 413 PSYC 100B ECON1002 MATH256 ANSC20005 MTHS2008 MATH40082 COSC 2406 FIT3174 STA 238 CMT202 Differential Equations MTHM017 GARCH 101 MATH2069 CSC336S ACSC12 ETF2121 CEME 2001 DB B474F ARHT1001 EECS 3311 3220 STATS 786 CS 484 COMP20008 MATH4091 ECE 455 CSCI 204 BUS B200F BA 875 BU5562 COSC 1147 X11 GEOG 101 IMM250F CSE 584A MATH38172 LAB 4 ELEC5882M FINS5523 EE 430 COMP 465 6CCS3PRE 7CCSMNSE FINANCE ACMB02H3 ENGG2112 ELEC5616 SCM B371 CHEM3120 CS22 ECMT2130 MAST30011 ADSPBF706 CENG0013 ACCOUNTING BUSS1040 CHEM 181 MAT136H1 GY 6183 COMP3170 AGRI90089 PHYSICS 1002 ECON10003 IEOR E4004 ACS61012 MATH 40550 MKTG2113 TELE4653 ENSC1004 ECE 232E MK726 MTRX2700 SHEET 3 CSCA08 COMP30027 Math 2XX3 statistic MMAN3200 BISM7213 ECMM109 ECON 2022 FNCE 20005 GR5067 CSCB09 ME 3017 CS 5100 PHYS 2903 COMS 4771 COMP222 COMP 1046 CSC148H1 ISYS2038 FINS2615 OT5206 COMP2048 A6 MECH5770M MA826/20 CMPT 726 STA457 INFS6071 INFS588 integral ECON 216 IRDR 0017 MA323 PA 15213 PSYC2001 ENV222 Statistics ACCT5930 ACCT12 LAND2121 ME 5405 COMM1180 TELE3113 A7 ECE 568 ACCT2019 INFS1200 ENGG1340 CS 1400 ASST3 FINM7409 SWEN30006 INFO2222 FIN20150 SOSS1000 CSSE7231 FINS5513 COMS3200 CECN 702 ECON4060H MN3515 HW2 PSYA02H3 ECON 2112 COMP90051 CS 1652 MA30059 AF1605 MKTG7501 ECO-6003B COM4521 CTM ECON3350 COMP 3804 ELEC9762 BISM 7255 ST22 MATH20014 MNE3122 COMP343 MATH5165 ELE7029 ENGR30002 SEEM3500 ECON7350 RISK5002 FINM7405 COMP90059 MOS 3320B STAT 431 BISM7221 MATH3014 MTH783P EBA 35302 ACS133 BUS2206 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