Expert answer:Scatter chart form, assignment help

Answer & Explanation:This is a third year economics growth assignment, in this assignment you are asked to use excel to solve questions and draw graphs(in scatter chart form), also some calculations are required and for some questions you will have to add conclusion for the results. Please make sure that you are good with using excel and the concepts in economic growth, otherwise, it is going to be complicated. there are 10 questions, please finish them in a word document.  Data and outline are attached, please read them carefully and complete assignment fully!assg1_16.pdf WeilLabData.xlsx
assg1_16.pdf

weillabdata.xlsx

Unformatted Attachment Preview

D EPARTMENT OF E CONOMICS
ECON 3100H – E CONOMIC G ROWTH
Winter Term 2015–2016, Peterborough
Assignment #1
Due date: January 28 (in class)
Instructions: Marks per question are indicated in each question part. For data questions,
download the Excel data file from Blackboard. Include graphs and report
results, but do not submit data file.
1. Using the Excel data file, report your answers to the following questions [10 marks]:
a. Calculate the average level of real per capita income in 1960 and in 2009 for all
the countries in the data set. What is the minimum per capita income? What is
the maximum? How has the distribution of income changed over time?
b. Calculate the growth rate of real per capita income over the time period 1960 to
2009. What is the average growth rate for all the countries in your data? What
is the minimum growth rate? What is the maximum growth rate?
c. Consider three subsets of countries: Western Europe, Asia, and Africa. Calculate the minimum and maximum level of income per capita for countries in
each of these groups in 1960 and in 2000. What patterns can you identify in the
growth of income and in the dispersion of income in these regions?
d. Take the maximum growth rate that you calculated in part b. and apply it to
the poorest country in 1960. Then take the minimum growth rate that you
calculated in part b. and apply it to the richest country in 1960. How would
these different growth rates affect the level of income in these countries in 2000?
Explain how this calculation demonstrates the importance of the study of longrun growth.
e. Sort the data by the growth rates you calculated in part b. Identify the 10 fastest
growing and the 10 slowest growing countries. Do the fast growers have anything in common? Do the slow growers? Do these lists suggest potential ideas
for investigation of the determinants of growth?
2. A country is described by the Solow model, with a production function of y = k1/2 .
Suppose that k is equal to 225. The fraction of output invested is 60%. The depreciation rate is 5%. Is the country at its steady-state level of output per worker, above the
steady state, or below the steady state? Explain how you reached your conclusion.
[4 marks]
3. In Country 1 the rate of investment is 5%, and in Country 2 it is 10%. The two
countries have the same levels of productivity, A, and the same rate of depreciation,
δ.
a. Assuming that the value of α is 1/3, what is the ratio of steady-state output per
worker in Country 1 to steady-state output per worker in Country 2? [3 marks]
ECON 3100H – Assignment 1
yss
b. If iss = 0.0625 and the rates of investment are 2.5% in Country 1 and 10% in
yj
Country 2, what is α? [3 marks]
4. In a country the production function is y = 1.5k0.6 . The fraction of output invested,
γ, is 0.15. The depreciation rate, δ , is 0.05.
a. What are the steady-state levels of capital per worker, k, and output per worker,
y? [3 marks]
b. In year 1, the level of capital per worker is 10. Continue the table below through
year 8 filling in all cells to show how capital and output change over time (the
beginning is filled in as a demonstration). [3 marks]
year
k
y
i
d
∆k
1
2
10.000
10.396
5.972
0.896
0.500
0.396
c. Calculate the growth rate of output between years 1 and 2, and between years 7
and 8. Assume compounding annually. What can you conclude about the speed
of output growth as a country approaches its steady state? [2 marks]
5. Using the Excel data file, do the following [10 marks]:
a. Calculate the average level of the savings rate (gross domestic savings as a
percentage of GDP) in 2009 for all the countries in the data set. Describe the
variation in the savings rate across countries. What is the minimum savings
rate? What is the maximum?
b. Make a scatter plot that shows the relationship between savings rates and income per capita in 2009, putting GDP per capita on the horizontal axis and
savings rates on the vertical axis. Do poor countries save more or less than rich
countries?
c. Make another scatter plot that shows the relationship between the average investment rate over the period 1975 to 2009 and the growth rate of income per
capita over this time period. Does this graph support the conclusions of the
Solow model?
d. Make a scatter plot that shows the relationship between savings rates and secondary school enrollment rates. Do countries that have higher secondary school
enrollment rates have higher savings rates?
e. Make a scatter plot that shows the relationship between savings rates and the
number of children the average woman can be expected to have (the fertility
rate) for 2009. In countries in which women have more children, is the savings
rate higher or lower?
6. For each of the following scenarios, use the graphical depiction of the Malthusian
model to illustrate what happens to a country’s population size and per-capita income
in the short run and in the long run. [6 marks]
2
ECON 3100H – Assignment 1
a. A deadly disease kills half the population
b. The sea level rises eliminating half the country’s farm land and half the population dies of hunger.
c. Plant scientists develop new grains with twice the output per acre.
7. Two countries, X and Y, have the same levels of productivity A, rates of depreciation
δ = 0.06, and α = 2/5.
a. In Country X investment is 25% of GDP and population grows at 0 % per year.
In Country Y investment is 10% of GDP and population grows at 4% per year.
Use the Solow model to calculate the ratio of their steady-state levels of income
per capita. [3 marks]
b. Now assume both countries X and Y have equal rates of investment, equal depreciation rates of δ = 6% and equal productivity factors A. Country Y has a
population growth rate exactly twice that of country X. If the ratio of steady
yss
X
= 1.2, what are the population growth rates of the two counstate incomes ss
yY
tries? [3 marks]
8. Consider the Solow model with population growth, as presented in the text. Assume that population can grow at two different rates n1 and n2 , where n1 > n2 . The
population growth rate depends on the level of output per capita (and therefore the
level of capital per capita). Specifically, population grows at rate n1 when k < k̄ and slows down to rate n2 when k ≥ k̄. Draw a diagram for this model. Assume that (n1 + δ )k̄ > γ f (k̄) and that (n2 + δ )k̄ < γ f (k̄). Explain what the diagram says about the steady state of the model. [5 marks] 9. Suppose that in a country one-third of all females born die in infancy, one-sixth die at age 26, one-sixth die at age 30, and one-third live to age 60. On average, women bear one child at age 22, one child at age 25, one child at age 28, one child at age 32, and one child at age 35. One-half of children are girls. a. Compute the TFR and the NRR. [3 marks] b. Suppose that mortality is reduced so that there is no infant mortality. Twenty percent of women die at age 26, twenty percent of all women die at age 30 and sixty percent die at age 60. Fertility remains unchanged. Compute the NRR. [2 marks] c. Suppose now that age-specific fertility changes, so that women have (on average) one-half child at ages 25, 29, 32, 35. Mortality is the same as in part b. Compute the TFR and the NRR. [3 marks] 10. Using the Excel data file, do the following [10 marks]: a. Describe the variation in the population growth rate across countries. What is the minimum population growth rate? What is the maximum? 3 ECON 3100H - Assignment 1 b. Make a scatter plot that shows the relationship between life expectancy (2009) and population growth. Describe what you see. c. Make a scatter plot that shows the relationship between population growth and fertility in 1975. Describe what you see. d. Using your graphs from questions part b. and c. above, explain why countries have high population growth. e. Make a scatter plot that shows the relationship between the population growth rate and the growth rate of income per capita. Does this graph support the conclusions of the Solow model? f. Make a scatter plot that shows the relationship between fertility rates and education in 2009. Describe what you see. Can you explain why this relationship might exist? g. Make a scatter plot that shows the relationship between fertility rates and income per capita in 2009. Describe what you see. Can you explain why this relationship might exist? h. Using the results of your graphs, write a paragraph that summarizes your conclusions. How do population growth rates vary across countries? What is the relationship between population growth and income growth? Can you make policy recommendations based on your results? 4 Country Afghanistan Albania Algeria Angola Antigua and Barbuda Argentina Armenia Australia Austria Azerbaijan Bahamas Bahrain Bangladesh Barbados Belarus Belgium Belize Benin Bermuda Bhutan Bolivia Bosnia and Herzegovina Botswana Brazil Brunei Bulgaria Burkina Faso Burundi Cambodia Cameroon Canada Cape Verde Central African Republic
Chad
Chile
China
Colombia
Comoros
Congo, Dem. Rep.
Congo, Republic of
Costa Rica
Cote d`Ivoire
Croatia
PWT Code
AFG
ALB
DZA
AGO
ATG
ARG
ARM
AUS
AUT
AZE
BHS
BHR
BGD
BRB
BLR
BEL
BLZ
BEN
BMU
BTN
BOL
BIH
BWA
BRA
BRN
BGR
BFA
BDI
KHM
CMR
CAN
CPV
CAF
TCD
CHL
CHN
COL
COM
ZAR
COG
CRI
CIV
HRV
WDI Code
AFG
ALB
DZA
AGO
ATG
ARG
ARM
AUS
AUT
AZE
BHS
BHR
BGD
BRB
BLR
BEL
BLZ
BEN
BMU
BTN
BOL
BIH
BWA
BRA
BRN
BGR
BFA
BDI
KHM
CMR
CAN
CPV
CAF
TCD
CHL
CHN
COL
COM
COD
COG
CRI
CIV
HRV
pop75
14100000
2401108
16100000
5885455
68041
26100000
2834136
13800000
7578903
5696117
189139
258789
76200000
247147
9360184
9794800
135611
2995605
53829
372749
4914316
3980000
704591
109000000
156223
8720742
5673472
3676308
7491268
7521530
23200000
280259
2057734
4144061
10300000
918000000
24100000
272685
25000000
1453650
1991580
7030905
4255000
pop09
25400000
2983000
34200000
12800000
85700
40900000
2967000
21300000
8210000
8239000
308000
1144000
154000000
284700
9769913
10400000
308000
8792000
67800
691000
9775000
4613000
1991000
199000000
388000
7205000
15700000
9511000
14200000
18900000
33500000
501000
4742000
10300000
16600000
1320000000
43700000
752000
69000000
4013000
4455000
20600000
4489000
gpop
1.73
0.64
2.22
2.29
0.68
1.32
0.13
1.28
0.24
1.09
1.43
4.37
2.07
0.42
0.13
0.18
2.41
3.17
0.68
1.82
2.02
0.43
3.06
1.77
2.68
-0.56
2.99
2.80
1.88
2.71
1.08
1.71
2.46
2.68
1.40
1.07
1.75
2.98
2.99
2.99
2.37
3.16
0.16
Cuba
Cyprus
Czech Republic
Denmark
Djibouti
Dominica
Dominican Republic
Ecuador
Egypt
El Salvador
Equatorial Guinea
Eritrea
Estonia
Ethiopia
Fiji
Finland
France
Gabon
Gambia, The
Georgia
Germany
Ghana
Greece
Grenada
Guatemala
Guinea
Guinea-Bissau
Guyana
Haiti
Honduras
Hong Kong
Hungary
Iceland
India
Indonesia
Iran
Iraq
Ireland
Israel
Italy
Jamaica
Japan
Jordan
Kazakhstan
CUB
CYP
CZE
DNK
DJI
DMA
DOM
ECU
EGY
SLV
GNQ
ERI
EST
ETH
FJI
FIN
FRA
GAB
GMB
GEO
GER
GHA
GRC
GRD
GTM
GIN
GNB
GUY
HTI
HND
HKG
HUN
ISL
IND
IDN
IRN
IRQ
IRL
ISR
ITA
JAM
JPN
JOR
KAZ
CUB
CYP
CZE
DNK
DJI
DMA
DOM
ECU
EGY
SLV
GNQ
ERI
EST
ETH
FJI
FIN
FRA
GAB
GMB
GEO
DEU
GHA
GRC
GRD
GTM
GIN
GNB
GUY
HTI
HND
HKG
HUN
ISL
IND
IDN
IRN
IRQ
IRL
ISR
ITA
JAM
JPN
JOR
KAZ
9290074
610500
10000000
5059861
207959
73923
5048499
6871698
37000000
4071179
213292
2421037
1432246
33000000
576000
4711439
54000000
647436
570020
4897656
78700000
10100000
9046542
95819
5910462
4018826
680919
767977
4826993
2857540
4395800
10500000
218031
619000000
135000000
33300000
11100000
3177300
3354242
55600000
2104879
112000000
1802960
14200000
11100000
1085000
10200000
5501000
819501
72420
9691000
14600000
78900000
6031000
633000
5647000
1299000
85200000
868000
5250000
64400000
1515000
1713000
4616000
81800000
23900000
10700000
107000
13300000
10100000
1534000
753000
9778000
7834000
7055000
10000000
307000
1160000000
240000000
76000000
28900000
4580000
7234000
60500000
2826000
127000000
6269000
15400000
0.52
1.69
0.06
0.25
4.03
-0.06
1.92
2.22
2.23
1.16
3.20
2.49
-0.29
2.79
1.21
0.32
0.52
2.50
3.24
-0.17
0.11
2.53
0.49
0.32
2.39
2.71
2.39
-0.06
2.08
2.97
1.39
-0.14
1.01
1.85
1.69
2.43
2.81
1.08
2.26
0.25
0.87
0.37
3.67
0.24
Kenya
Kiribati
Korea, Republic of
Kuwait
Kyrgyzstan
Laos
Latvia
Lebanon
Lesotho
Liberia
Libya
Lithuania
Luxembourg
Macao
Macedonia
Madagascar
Malawi
Malaysia
Maldives
Mali
Malta
Marshall Islands
Mauritania
Mauritius
Mexico
Micronesia, Fed. Sts.
Moldova
Mongolia
Montenegro
Morocco
Mozambique
Namibia
Nepal
Netherlands
New Zealand
Nicaragua
Niger
Nigeria
Norway
Oman
Pakistan
Palau
Panama
Papua New Guinea
KEN
KIR
KOR
KWT
KGZ
LAO
LVA
LBN
LSO
LBR
LBY
LTU
LUX
MAC
MKD
MDG
MWI
MYS
MDV
MLI
MLT
MHL
MRT
MUS
MEX
FSM
MDA
MNG
MNE
MAR
MOZ
NAM
NPL
NLD
NZL
NIC
NER
NGA
NOR
OMN
PAK
PLW
PAN
PNG
KEN
KIR
KOR
KWT
KGZ
LAO
LVA
LBN
LSO
LBR
LBY
LTU
LUX
MAC
MKD
MDG
MWI
MYS
MDV
MLI
MLT
MHL
MRT
MUS
MEX
FSM
MDA
MNG
MNE
MAR
MOZ
NAM
NPL
NLD
NZL
NIC
NER
NGA
NOR
OMN
PAK
PLW
PAN
PNG
13400000
53226
35300000
1006892
3300684
3161118
2461606
3098996
1195487
1616234
2569606
3305195
358950
254331
1684000
7603790
5317309
12300000
132608
6217503
327842
26423
1404403
885461
60700000
66222
3846519
1445600
549000
17700000
10400000
915325
13200000
13700000
3117800
2394899
5419038
64400000
4007313
913285
74700000
12838
1749172
2609796
39000000
98045
48500000
2489000
5432000
6257000
2232000
4099000
1910000
3583000
6324000
3555000
491000
560000
2067000
20700000
15000000
27800000
396000
13400000
404524
65000
3129000
1284000
111000000
108000
4321000
3041000
672000
31300000
21900000
2109000
28600000
16700000
4213000
5541000
15300000
149000000
4661000
2910000
181000000
21000
3360000
5941000
3.14
1.80
0.93
2.66
1.47
2.01
-0.29
0.82
1.38
2.34
2.65
0.21
0.92
2.32
0.60
2.95
3.05
2.40
3.22
2.26
0.62
2.65
2.36
1.09
1.78
1.44
0.34
2.19
0.59
1.68
2.19
2.45
2.27
0.58
0.89
2.47
3.05
2.47
0.44
3.41
2.60
1.45
1.92
2.42
Paraguay
Peru
Philippines
Poland
Portugal
Puerto Rico
Qatar
Romania
Russia
Rwanda
Samoa
Sao Tome and Principe
Saudi Arabia
Senegal
Serbia
Seychelles
Sierra Leone
Singapore
Slovak Republic
Slovenia
Solomon Islands
Somalia
South Africa
Spain
Sri Lanka
St. Kitts & Nevis
St. Lucia
St.Vincent & Grenadines
Sudan
Suriname
Swaziland
Sweden
Switzerland
Syria
Taiwan
Tajikistan
Tanzania
Thailand
Timor-Leste
Togo
Tonga
Trinidad &Tobago
Tunisia
Turkey
PRY
PER
PHL
POL
PRT
PRI
QAT
ROM
RUS
RWA
WSM
STP
SAU
SEN
SRB
SYC
SLE
SGP
SVK
SVN
SLB
SOM
ZAF
ESP
LKA
KNA
LCA
VCT
SDN
SUR
SWZ
SWE
CHE
SYR
TWN
TJK
TZA
THA
TLS
TGO
TON
TTO
TUN
TUR
PRY
PER
PHL
POL
PRT
PRI
QAT
ROU
RUS
RWA
WSM
STP
SAU
SEN
SER
SYC
SLE
SGP
SVK
SVN
SLB
SOM
ZAF
ESP
LKA
KNA
LCA
VCT
SDN
SUR
SWZ
SWE
CHE
SYR
TWN
TJK
TZA
THA
TLS
TGO
TON
TTO
TUN
TUR
2852212
15200000
44300000
34000000
9411090
2935124
169163
21200000
134000000
4356863
150839
81607
7204820
4989168
7431015
59626
3030320
2262600
4729718
1722000
193000
4127771
25800000
35600000
13800000
45170
112424
92245
16100000
362730
520864
8192567
6403500
7415548
16000000
3448869
16100000
42300000
676582
2203646
89200
1006931
5703966
40500000
6291000
28600000
98000000
38500000
10700000
3960000
833000
22000000
140000000
10700000
191000
172000
25300000
12000000
7379000
87000
5132000
4658000
5389468
2006000
485924
9613000
49100000
46300000
20900000
39800
160000
104700
42800000
481000
1337000
9060000
7604000
21800000
23000000
7349000
41000000
65900000
1132000
6405000
105000
1230000
10400000
76800000
2.33
1.86
2.34
0.37
0.38
0.88
4.69
0.11
0.13
2.64
0.69
2.19
3.69
2.58
-0.02
1.11
1.55
2.12
0.38
0.45
2.72
2.49
1.89
0.77
1.22
-0.37
1.04
0.37
2.88
0.83
2.77
0.30
0.51
3.17
1.07
2.23
2.75
1.30
1.51
3.14
0.48
0.59
1.77
1.88
Turkmenistan
Uganda
Ukraine
United Arab Emirates
United Kingdom
United States
Uruguay
Uzbekistan
Vanuatu
Venezuela
Vietnam
Yemen
Zambia
Zimbabwe
TKM
UGA
UKR
ARE
GBR
USA
URY
UZB
VUT
VEN
VNM
YEM
ZMB
ZWE
TKM
UGA
UKR
ARE
GBR
USA
URY
UZB
VUT
VEN
VNM
YEM
ZMB
ZWE
2523906
11000000
49000000
522571
56200000
216000000
2843540
14000000
99700
12700000
48100000
7934497
4923730
6341797
4885000
32400000
45700000
4798000
62000000
307000000
3294000
27600000
219000
27200000
88600000
22900000
13100000
11400000
1.94
3.18
-0.21
6.52
0.29
1.03
0.43
2.00
2.31
2.24
1.80
3.12
2.88
1.72
k1975
2.04E+11
5.35E+11
6.21E+11
3.31E+11
7.75E+10
1.14E+10
4.75E+11
7.14E+09
2.76E+10
4.24E+09
1.22E+12
5.62E+09
1.27E+09
2.02E+10
8.35E+11
1.37E+09
3.22E+09
3.67E+09
1.19E+11
1.19E+12
1.62E+11
1.10E+09
3.41E+10
4.54E+09
1.96E+10
1.47E+10
k2009
46265779365
57696527627
7.31E+11
1.01E+11
4113528233
1.11E+12
28268011021
2.46E+12
8.93E+11
91394736353
32641163247
93310165254
5.03E+11
24354903020
2.17E+11
1.18E+12
6954199534
23598519747
5953786210
12289950919
50135430082
62824296221
77081819351
3.91E+12
30320167778
1.93E+11
25720962875
4756162150
37258263598
71985733559
3.09E+12
7531501556
3303762144
19045784045
4.95E+11
2.64E+13
7.68E+11
1822564212
41005181729
17934922014
1.10E+11
26019286311
1.92E+11
kpw1975
52523.94
49981.31
101176.35
110385.37
2523.45
110673.64
121193.98
5739.66
14264.90
15237.17
30911.39
2112.57
692.29
7026.39
82653.47
15089.12
3326.02
2108.25
36112.07
2605.26
24010.19
9834.89
3527.23
7786.73
30039.89
5680.81
kpw2009
5650.57
42519.89
50246.46
17638.28
hc1975
1.18
2.30
1.41
55566.55
18031.79
219099.48
211648.47
23232.28
194069.41
173609.56
6736.96
144246.34
43197.44
254798.26
54332.61
6483.34
2.30
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