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ECON 7520 economy
创建日期：2024-05-23 14:43:53
所属分类：经济Economics
标签： ECON 7520
economy

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ECON 7520

Problem Set
• This is an open book assignment. No generative AI such as ChatGPT permitted.
• This is an individual assignment — group work is not permitted.
• You have until 10.00h AEST on April 6, 2023 to 1) download and 2) work on the
assignment and to 3) upload your answers. You are required to upload your answers
as a single, legible pdf file to the relevant TurnitIn folder. E.g., you can handwrite
your answers and then convert them to a pdf file.
• Please keep your pdf file reasonably small (say ≤ 5MB).
• You may email your pdf file to [email protected] as proof of your time
of submission if you experience technical difficulties with uploading it. You then
still have to upload the same pdf file to TurnitIn as soon as possible.
• File formats other than pdf are not permitted. You may not submit multiple files.
• Where an extension has not been approved, the following penalties apply to late or
non-submission: A penalty of 10% of the maximum possible mark of the problem
set will be deducted per day for up to 7 calendar days, at which point any submis-
sion will not receive any marks unless an extension has been approved. Each 24
hour block is recorded from the time the submission is due.
• By undertaking this assignment you will be deemed to have made the following
declaration: “I certify that
– my submission is entirely my own original work, and no part of my answers
has been copied from any other source or person except where due acknowl-
edgement is made,
– no part of the work has been previously submitted for assessment in this or
any other institution,
– I have neither given nor received any unauthorized assistance on this assess-
ment item, and
– I am familiar with and understand the implications of UQ’s policies relating
to academic integrity and student conduct.”
Instructions: Answer all questions. Show all your work — you must explain how you
arrived at your answer. Partial credit may be awarded if a substantial part of the answer
is provided.
Total Questions: 3
Total Marks: 50
1
ECON 7520 SEMESTER 1, 2023
Answer all questions.
Show all your work — you must explain how you arrived at your answer.
Partial credit may be awarded if a substantial part of the answer is provided.
Question 1 (6 marks)
Suppose net investment income is NII = 100, the international asset position is
A = 3000, the international liability position is L = 4000, and the rate of return is 5
percent, r = 0.05.
(a) (3 marks) Economist John Green, a strong advocate of the dark matter hypothesis,
believes that A is not accurately recorded. Calculate the amount of dark matter and
the “true” international asset position, which we will denote TA, consistent with
Green’s view.
(b) (3 marks) Financial analyst Nadia Gonzalez does not believe in the dark matter hy-
pothesis. Instead, she believes that A is accurately measured. In her view 5 percent
is actually the rate of return on assets rA = 0.05, and the rate of return on the coun-
try’s international liabilities, rL, is different. Find the value of rL consistent with
Gonzalez’s view.
Question 2 (14 marks)
In answering this question, assume that there are no valuation changes of assets, that
the net international compensation to employees equals zero and that there are no net
unilateral transfers.
Consider a three-period economy that at the beginning of period 1 has a net foreign
asset position of −175. In each of the three periods 1, 2 and 3, GDP is 200. The interest
rate on bonds held between any two consecutive periods is 6 percent; that is, r0 = r1 =
r2 = r = 0.06.
(a) (4 marks) For this part of the question only, assume that in period 1, the economy
runs a current account deficit of 5 percent of GDP. Find the trade balance in period 1
(TB1), the current account balance in period 1 (CA1), and the country’s net foreign
asset position at the beginning of period 2 (B1).
(b) (1 mark) State the transversality condition for this economy.
(c) (4 marks) For this part of the question only, assume that in period 1, the economy runs
a current account deficit of 5 percent of GDP and that in period 2, the trade balance
of the economy is zero, that is, TB2 = 0. Is the economy living beyond its means?
To answer this question find the economy’s current account balance in period 3 and
the trade balance in period 3. Is this value for the trade balance feasible? [Hint: Keep
in mind that the trade balance cannot exceed GDP.]
2
ECON 7520 SEMESTER 1, 2023
(d) (5 marks) Compute as a percentage of GDP the maximal current account deficit in
period 1 that is feasible for the economy.
Question 3 (30 marks)
Consider a two-period model of a small open economy with a single, perishable good.
Let preferences of the representative household be described by the utility function
lnC1 + lnC2,
where C1 and C2 denote consumption in periods 1 and 2, respectively. Each period
t = 1, 2, the household receives profits Πt from the represenative firm it owns. The
production technologies in periods 1 and 2 are given by
Q1 = 3.5 · I
0.75
0
and
Q2 = 4 · I
0.75
1 ,
where Q1 and Q2 denote output in periods 1 and 2, respectively, I0 = 39.0625 is exoge-
nously given and represents the investment from “period 0” and I1 denotes the investment
in period 1. Observe that the firm invests in period t − 1 to be able to produce goods in
period t. The household and the firm have access to financial markets where they can
borrow or lend. The firm finances its investments by issuing debt (both in “period 0” and
in period 1), as in the lecture. Assume that there exists free international capital mobility
and that the world interest rate, r∗, is 5% each period (i.e., r0 = r1 = r
∗ = 0.05, where
rt is the interest rate on assets held between periods t and t+1). Finally, assume that the
household’s initial net asset position is Bh
0
= −10.
(a) (1 mark) Compute the initial net foreign asset position of the economy.
(b) (1 mark) Compute the firm’s output Q1 and profit Π1 in period 1.
(c) (3 marks) Compute the firm’s optimal level of investment in period 1 and its profit in
period 2.
(d) (5 marks) Derive the optimal levels of consumption in periods 1 and 2.
(e) (3.5 marks) Find the country’s net foreign asset position at the end of period 1 and, for
each of the periods 1 and 2, the country’s savings, trade balance and current account
balance.
Now suppose that the government at the beginning of period 1 publicly announces an
investment subsidy. Specifically, for each unit of investment that the firm makes in period
1, the government promises to pay the firm a subsidy of s2 ∈ (0, 1+ r1) units of the good
in period 2. The government finances the subsidy by charging the household a lump-sum
tax T2 in period 2. The government neither has other expenditures nor other revenues. In
particular, T1 = 0.
3
ECON 7520 SEMESTER 1, 2023
(f) (1 mark) Write down the government’s budget constraint in period 2.
(g) (4 marks) Write down a formula for the firm’s profit in period 2. Derive the optimal
investment condition and calculate the optimal investment as a function of s2. Using
a MPK-MCK-graph, illustrate in a figure how the optimal investment and the firm’s
period-2 profit Π2 change after the subsidy is introduced.
(h) (1.5 marks) Write down the household’s period 1 and period 2 budget constraints.
Derive the household’s intertemporal budget constraint.
(i) (2 marks) Derive the economy’s resource constraint. Compare it to resource con-
straint that holds without the subsidy. Provide intuition for your comparison.
(j) (6 marks) Assume that s2 = 0.1. Derive the household’s optimal consumption path
and the current account balances CA1 and CA2 in periods 1 and 2, respectively.
What effect did the introduction of the subsidy have on the optimal consumption path
and on CA1? Provide a detailed explanation of the effect on C1, C2 and CA1 of
introducing the subsidy and intuition for your results. Is the household better off
after the subsidy was introduced?
(k) (2 marks) Explain in words how your answer to (j) would change if the government
were to announce the subsidy only at the beginning of period 2.
案例分类
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关键词一 关键词二 关键词三 关键词四 关键词五 和法规和的发更好的风格和 ECON 615 FINC 612 CSC148 COMP 639 ACCT 203 ACCT 211 PSYC 101 MTH2009 COMP52315 PSYCO 432 statistics MATH4063 11 xxx 1 MA1MSP MAST30028 MATH3888 CS341 EEE30002 ES2F5 MCD4160 CC0933 ECON 1101 MCHM3001 CHEM3118 COMMGMT 2511 COMP41280 STAT 631 24T1 IRE379 SENG365 ECON433 FIT3139 MATH4602 LING5621M FINS5516 ECON3208 MN2177 L2 SM EEET1415 Finance DS4023 COMP3004 7CCSMRTS K1S5B6 Stat230 CSCI4211 CSI2132 ECON30130 MAS6100 ENVS222 COM2107 INFO1112 STAT 4004 FIT2100 comp2022 COMP4691 Physics 307 Econ 659 probability CSCI316 fir29 CSCI203 COMP3160 COMP6714 INFO1113 Physics 7B Physics Photonics S203031 STAT2005 COMP90015 CSCI 2110 CSCC46 Information CSC477 COMP4650 Statistical COMP 346 COMP1017 ELEC340 MATH1007 Programming function STAT 244 CS 134 Java cse13s Math 108A FW20 ECON3389 CSE 130 Science 331 COMP9020 engineering COSC 445 CSE 5523 GAME2012 visualization MATH 235 Math 370 CSC343 COGS 108 EE524 COMP10200 STAT 416 3FK4 MSCI 311 ECON6113 ACC40700 EMESTER1 MAS8383 ECO 512 STAT 8310 CMN3102 MA577 CMPT 225 COMP0045 Methods Equations MATH 113 Math 3283W ICS-33 EN4302/ENT603 BIA B350F MA318 MTHM506 MECH 5315M ECONOMICS MAS8382 COM 2004 PX3142 XJEL 3662 STAT 231 MGT B399F PX4131 COM2108 30AM MSCI521 ECONM1015 ACFI304 GR5241 MATH10101 ECON 2070 COMS31900 EFIM20011 CSE 250B ACSE-5 STAT4207 SOFT2412 ELEC 331 AY2020 MSIN0209 FIT2094 CS 241L ST404 CS 411 3D CA3 INF4002 COMP3506 SIT718 CS 188 CS 170 MATH 138 CSE 251A CMT118 DATA5207 CMPT307 CMPT459 T1 PGEE11108 COSC 3P32 ME 163 MATH96007 7QQMM203 EE6227 BA 574 STA 4234 ECO206Y1Y ECO2008 MT2300 MATH 11158 CS 527 MACM 316 CSE474 2DI70 ISE 525 COMP3411 EMAT30007 7CCSMBDT MFIN704 MFIN704W21 MfIB ECE 438 CS 436 F36 CS5344 FE 621A FE621 TBA 612 ECM3151 ECMM422 MF1 MSIN0107 ESSMENT CS 5854 MFIT 5008 MIPS R4000 ENG5274 BU52018 ENG2079 BIOA02 STA2570 F0 INF553 STAT 440 STAT3008 COMP9417 COMP6451 6COM1042 BU52006 ST303 HW-1 CISC-235 CS 510 MATH3161 ECN 140 ECE391 Comp 3613 CVEN 9625 PRG455 UESTION 1 EARN 5 FE 825 IERG 5130 STAT 8178 EE161 ADS2 G54FUZ CS326 113B ECN 226 QBUS6860 ELEC3202 COMP9334 MGT11B MET CS 777 STA238 00099F Python SMM306 CMT206 EC116 SP MAST90084 CS480/680 BCPM0091 CMPT 300 ECON2209 FY20 STAT 432 CVEN9625 MATH1712 CMP9771M CMP3750M CIS 325 AI506 MAT344H1S MGT7180 PSTAT 160B CSYS5010 1D STAT 453/558 ME152B STA304H1F CSCI-128 ME428 CO3002 FINE 7640 COMP3234 ECSE 223 EE497 – 3D MATH5905 ECS648U ENG5009 MATH10242 EC665 A CPI221 ISOM5220 MACE40402 MGT B456F COMP9315 AFM 113 STAT 778 CS 564 MA231 CS 230 CS 124 COMP5511 CSC317 ITEC1010 ELEC207 INFT 3019 7CCMFM06 EE 161 5G ECLT5810 MATH 7349 CS526 O2 COMP90054 ELE00063M ACCT5034 ARC1015 CSCI 40 CSCI E40 FIN 524B CS 462 389COM CMT309 MFIN703 COMP4250 STA304 STA304H1S STA 1003 FIN 448 BUFN 732 CS520 CVEN3701 ECMT6006 PHAS0100 CSIT314 MDIA 5028 CSCI 2134 MAT 451 CMPT 459 STAT 457 INFO20003 COMP4141 IELE8066 F540 ECM9 CSE 6321 FIN 430 MATH3911 BFC5916 COMP1011 EEE 6209 STATS 240 CW3 COMP206 COMP1003 4331W ISE 530 CMPT 295 MATH 239 QF5203 INFR08010 IT114105 FIT2093 ECON3124 ECON1195 MATH 337 STAT 3006 COMP202 COMP3130 MATH3609 COMP 250 CS6140 IEEE ELE00041I FIN40090 CIV 5899 MATH3066 IGNMENT MATH 2009 STAT3405 HIST 101 MATH 3281 CEGE0042 ICT532 LAB 7 LAB 5 MCO455 CSIT214 Q4 IFB104 A1 ECO220Y5Y DA5020 CMPSC473 FIN9007 DSCI553 MSCI534 COMP3308 CSE-112 CMPT 310 EE104 F 2C P20 ALY2010 BUSM060 STA258 ECO00030M R BIOSTAT 274 COS6012-B FIT3155 CMPUT 340 EC421 INFS4205 ECOM135 NATS 1740 COMP809 MBE 6005 STA465 CSSE2310 CIVL2700 DATA4700 CMPSC 473 ISE 529 CS5044 MAST30020 COMP2207 ENGG1001 COMP0046 FIT3165 STAT GR5241 MECH0007 vATHK1001 ANALYTIC ATHK1001 MATH352001 HW3 S1 BMAN 24662 COMP 636 Stat-461 STAT 302 STAT 2132 STAR534 ENG4137 CMP3752M CS3103 BISM3222 STA 135 ME155A IIMT3601 ECON3371 ECON 3371 HW4 FINA 5840 DT211C CTEC3902 MAT005 MATH2148 S261F Econ 332 MATH3734 MIS41270 7CCMFM13 SYST 664 CIS434 CENG10014 MT4111 MT4527 ECMM424 CMT219 Math 136 MATH 3120 COMP10002 MAST20009 MATH0058 BEEM117 ISYE 6420 MGMTMFE 405 25579 1ECE 273 M122 COMP4434 1ELEC ELEC5620M STAT0010 BFF2401 MXB361 MATH3811 CS330 CMT307 FIT1033 CptS 583 UP 431 MATH6005 AF5343 CS2435 ECOM30002 ES50061 CS 2506 ECMT6002 CODE 00099F MT4539 ESSAY ICM317 MATH1231 MFIT5010 BMA547 MATH334 CIVL2201 MATH39032 T-04 CIVE97119 EMESTER CAB302 CAB301 59PM STAT802 ISYS3412 RM3 COSC 2123 AcF 311 MATH2022 1FINAL 4CCS1PHC ICM 142 ENVS3023 Math 4023 I1 ACSE8 FIN B385F CS-275 STA 4109-01 A31021 EE140 MT1 EE124 ECO-6004B Inf2-IADS CS126 IS2184 UL18 MATH5092 ECOM009 COMP 6211 ELEC202 MKT3019 IAB230 FIT5046 584-S21 COMP3210 CO250 A29401 MATH 136 MGT6174 ECMT6007 DATA2001 MAT 443 MATH10222 PHDE0071 ELE00123M COSC1295 MAT00045H MATH32032 1004GRC MAS223 COMP10001 DATA3404 CIVL2110 STAT2008 FNCE10002 EEE6431 COM6515 COMP9120 NBS8185 ECTE942 ECON 405 MATH314301 STAT 2011 COMPSCI 350 COMP20007 CMPSC-132 ECON5002 STA 35 MTH6108 FIT5147 MTH6150 100C FINA 5260 DESC9115 ECON4998 NBS8257 GMM ECON 6070 BSA2 ECE599 STATS 102B STA120 INFS601 BFC3241 MATH20602 COMP532 MAS275 COMP5318 COMP4002 FIT5086 MAST20004 FIT3152 FIT5129 CIS2380 CS521 COMP 1005 EECMS CITS5501 ECE 462 ECON 6002 ENG 4051 CSC 648 CMT654 MECHENG 713 PHYS1002 AMME 2000 FP0060 DDES3200 MECHENG 743 BINF90002 FIT2081 ISYS90081 ELECTENG 722 BUS 360 ECOS3010 BUS2810 ETF2100 ENG2048 STAT5002 COMP2017 CEME 2003 MATS3004 COMP9319 PHYS1001 COMP5349 AMME2261 COMP-381 FIT3173 COSC2757 ENG4025 QBUS2820 COMP9414 MATH2021 EOSC118 MFIN6690 PMATH 321 CSE-141L MATH575A COMPSCI5002 COMP1511 management comp2123 FINS3616 COMP 3331 COMS30034 DTSC 71 AcF 702 AcF702 DTSC71 MAT021 ELE8083 ACFI213 EG-127J 127J FIT5163 FIT2001 ELE00113M CMT310 CS 245 ENGL 1101 MTH6115 EE497 CS 325 Math 124A MTH5130 MBA502 MGT 5380 ARCH 1261 F033800 20LLP109 ELE4009 FINANCIAL COMP3331 Computer ECE4179 20T3 COMP9311 COMP9311 UNSW MFIN6210 ACCT 5930 EE590 ENG2029 ECO100 SIT315 ACCT3610 COMP3600 STK2100 FIT2004 COMP30020 ACTL1101 Stat 101B BANA 200 COSC2473 ENGG1400 AI COMP90043 MMF 1914H PHYS 127 CS584 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