Recall the Production function in the Solow Growth model with ex Y = AK [(1 + YA) N₁ The following questions require you to download the excel spreads called Growth Accounting.xlsx. The spreadsheet contains data fom from 1960-2007: Real GDP, Capital Stock, total work hours, and Capital Stock, and total hours are in Billions. Working age populat use Working Age population in the first question below.) 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1970 1971 1972 1972 1973 1974 1975 1976 1977 1978 1070 1979 1000 1960 1901 1961 1982 1962 1992 1963 1964 1984 1965 1906 1506 1967 1968 1909 1990 1991 1992 1993 1994 1995 1996 1997 1000 1996 1000 1999 mmm 2000 m 2001 vm 2002 2003 2004 2005 2006 2007 1. 2. Plot the natural logarithm of GDP per working age Use the data on GDP, work hours, and capital to c Plot the natural logarithm of TFP from 1960-2007 to be A(1+YA)(1-0).) 3. 4. Assume a geometric growth rate for all variables.. for GDP, work hours, capital and Solow residuals Find the value of YA that is implied from your calc 1960-2007. Repeat this but for the 1960-1973, the subperiods. GDP (billions) 2501,8 2560,0 2715,2 2834,0 2998,6 3191,1 1500 3399,1 2494 6 3484,6 3652,7 3765,4 3771,9 3898,6 4105,0 4341,5 4319,6 4311,2 45409 4540,9 TERE 4750,5 EMER 5015,0 5173,4 5161,7 5291,7 5189,3 5423,8 5813,6 6053,7 6263,6 6475,1 6742,7 6961,4 7112,5 7100,5 7336,6 7532,7 7835,5 8031,7 man 8328,9 m 8703,5 DOCED 9066,9 9470,3 00170 9617,0 0000 9890,7 K (Billions) 1048 10048,8 10301,0 10675,8 10969,5 11294,8 115239 5896,0 6131,3 6360,3 6625,4 6900,2 7195,4 TEALE 7541,6 2017 2 7927,3 8274,5 8629,1 8989,5 9281,5 9608,7 9988,9 10436,7 10829,2 11094,8 we 11467,8 110366 11935,0 12502,7 13091,7 125527 13552,2 14067,6 14413,8 14793,8 15395,5 15959,6 16504,4 17057,2 17591,2 18134,3 13606,3 18948,4 19322,0 19745,4 20283,1 20829,7 21438,5 ET 22157,3 MA 22957,9 33030.0 23839,0 247646 24764,6 254999 25499,9 26156,9 26832,7 27644,3 285-49,6 29483,8 Hours (Billions) 128,5 128,7 132,6 135,0 138,7 142,7 145,9 146,6 148,8 151,9 151,4 151.4 151,9 157,6 163,2 164,3 160,7 166,6 171,8 170 178,8 1920 182,9 1010 181,8 102 0 183,8 179,6 179 6 183,0 191,7 194,5 197,8 202,9 206,9 210,5 211,9 208,7 210,7 214,5 zaujo 220,8 222,8 MA 226,0 ma 232,4 WA 235,8 30 238,1 343 244,2 mi 242,1 240,6 241,4 244,0 249,1 254,6 256,7 population 16-64 (thou 105160 106314 10740 10949 11130 113000 113090 1100 114896 116835 116825 11880 118808 12078 12296 12526 127572 12995 12995 13231 13464 137040 139408 139488 141035 141920 www 144308 14673 148705 148709 1503 88 15187 153314 15475 15627 15779 1591 10 160180 16139 16312 16484 166715 1686 38 170652 www 172945 www 175445 *** 178018 10. 180608 10300 18298 10547 185472 107016 1879 18 1901 48 1923 29 1945 28 196872 19900

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter20: Economic Growth In The Global Economy
Section: Chapter Questions
Problem 5P
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Related questions
Question
Recall the Production function in the Solow Growth model with exogenous technological change is
Y = AK [(1 + YA) Ne]¹-8
The following questions require you to download the excel spreadsheet posted on the course web page
called Growth_Accounting.xlsx. The spreadsheet contains data for four variables on the US economy
from 1960-2007: Real GDP, Capital Stock, total work hours, and working age population. Real GDP,
Capital Stock, and total hours are in Billions. Working age population is millions. (Note: you will only
use Working Age population in the first question below.)
1960
1961
1962
1963
1964
ARG
1965
*
1966
10x
1967
**
1968
1969
1970
1971
1972
1973
1974
1975
1976
1977
1978
Lore
1979
1980
1981
1982
1983
1964
1005
1985
1986
1997
1987
1988
1989
1990
1991
1992
1002
1993
1994
1994
1995
1996
1997
1998
1556
1999
20
2000
www
2001
MAAA
2003
2004
2005
2006
2007
1.
2.
Plot the natural logarithm of GDP per working age population over the 1960-2007 period.
Use the data on GDP, work hours, and capital to compute Solow Residuals using 0-1/3.
Plot the natural logarithm of TFP from 1960-2007. Define TFP (i.e, the Solow Residual)
to be A(1+YA)(1-))
3. Assume a geometric growth rate for all variables. Compute an average annual growth rate
for GDP, work hours, capital and Solow residuals for the entire 1960-2007 period.
Find the value of yA that is implied from your calculation of the TFP growth rate for
1960-2007. Repeat this but for the 1960-1973, the 1973-1990, and 1990-2007
subperiods.
4.
GDP (billions)
2501,8
2560,0
2715,2
2834,0
2998,6
3191,1
3404,4
3399,1
S
3484,6
352
3652,7
VICE
3765,4
3771,9
3898,6
4105,0
4341,5
4319,6
4311,2
4540,9
4750,5
5015,0
5173,4
5161,7
Food
5291,7
F1003
5189,3
F4330
5423,8
136
5813,6
60637
6053,7
ma
6263,6
CATE
6475,1
6742,7
6981,4
7112,5
200
7100,5
72266
7336,6
7532,7
7835,5
8031,7
8328,9
8703,5
9066,9
5470,3
9470,3
9817,0
5817,0
9890,7
10048,8
10301,0
10675,8
10989,5
11294,8
11523,9
K (Billions)
5898,0
6131,3
6360,3
6625,4
6900,2
7195,4
7541,6
7927,3
COVE
8274,5
8629,1
8989,5
9281,5
9608,7
9988,9
10436,7
10829,2
11094,8
11467,8
11935,0
12502,7
13091,7
13552,2
14067,6
164120
14413,8
14793,8
15306
15395,5
IEDERE
15959,6
16504,4
17057,2
17591,2
18134,3
18606,3
18948,4
19322,0
19745,4
20283,1
20829,7
21438 5
21438,5
22157.3
22157,3
22957,9
23839,0
45055,0
24764,6
stronge
25499,9
26156,9
26832,7
27644,3
28549,6
29483,8
Hours (Billions)
128,5
128,7
132,6
135,0
138,7
142,7
145,9
***
146,6
140.0
148,8
1510
151,9
ITAA
151,4
w
151,9
157,6
163,2
164,3
160,7
166,6
171,8
178,8
182,9
dok, 3
181,8
183,8
179,6
183,0
191,7
194,5
197,8
202.9
206,9
210,5
211,9
208,7
210,7
2107
214,5
2208
220,8
222,8
222 8
226,0
232,4
235,8
238,1
250, 1
244,2
**
242,1
*
240,6
241,4
244,0
249,1
254,6
256,7
population 16-64 (thousands)
105160
106314
107407
109497
111301
111501
113090
410000
114896
116835
118805
100
120781
100000
122963
IDENCE
125265
127572
129951
132317
134647
137040
139486
141920
141520
144308
M
146731
Chade
148709
150388
APARTA
151874
*****
153314
CATED
154758
*Com
156277
157792
159110
160180
161396
163124
164849
166710
166719
168638
170652
172945
172945
175445
175445
178018
176016
180606
LOUOUO
182987
Loks or
185471
187916
190146
192329
194528
196872
199004
Transcribed Image Text:Recall the Production function in the Solow Growth model with exogenous technological change is Y = AK [(1 + YA) Ne]¹-8 The following questions require you to download the excel spreadsheet posted on the course web page called Growth_Accounting.xlsx. The spreadsheet contains data for four variables on the US economy from 1960-2007: Real GDP, Capital Stock, total work hours, and working age population. Real GDP, Capital Stock, and total hours are in Billions. Working age population is millions. (Note: you will only use Working Age population in the first question below.) 1960 1961 1962 1963 1964 ARG 1965 * 1966 10x 1967 ** 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 Lore 1979 1980 1981 1982 1983 1964 1005 1985 1986 1997 1987 1988 1989 1990 1991 1992 1002 1993 1994 1994 1995 1996 1997 1998 1556 1999 20 2000 www 2001 MAAA 2003 2004 2005 2006 2007 1. 2. Plot the natural logarithm of GDP per working age population over the 1960-2007 period. Use the data on GDP, work hours, and capital to compute Solow Residuals using 0-1/3. Plot the natural logarithm of TFP from 1960-2007. Define TFP (i.e, the Solow Residual) to be A(1+YA)(1-)) 3. Assume a geometric growth rate for all variables. Compute an average annual growth rate for GDP, work hours, capital and Solow residuals for the entire 1960-2007 period. Find the value of yA that is implied from your calculation of the TFP growth rate for 1960-2007. Repeat this but for the 1960-1973, the 1973-1990, and 1990-2007 subperiods. 4. GDP (billions) 2501,8 2560,0 2715,2 2834,0 2998,6 3191,1 3404,4 3399,1 S 3484,6 352 3652,7 VICE 3765,4 3771,9 3898,6 4105,0 4341,5 4319,6 4311,2 4540,9 4750,5 5015,0 5173,4 5161,7 Food 5291,7 F1003 5189,3 F4330 5423,8 136 5813,6 60637 6053,7 ma 6263,6 CATE 6475,1 6742,7 6981,4 7112,5 200 7100,5 72266 7336,6 7532,7 7835,5 8031,7 8328,9 8703,5 9066,9 5470,3 9470,3 9817,0 5817,0 9890,7 10048,8 10301,0 10675,8 10989,5 11294,8 11523,9 K (Billions) 5898,0 6131,3 6360,3 6625,4 6900,2 7195,4 7541,6 7927,3 COVE 8274,5 8629,1 8989,5 9281,5 9608,7 9988,9 10436,7 10829,2 11094,8 11467,8 11935,0 12502,7 13091,7 13552,2 14067,6 164120 14413,8 14793,8 15306 15395,5 IEDERE 15959,6 16504,4 17057,2 17591,2 18134,3 18606,3 18948,4 19322,0 19745,4 20283,1 20829,7 21438 5 21438,5 22157.3 22157,3 22957,9 23839,0 45055,0 24764,6 stronge 25499,9 26156,9 26832,7 27644,3 28549,6 29483,8 Hours (Billions) 128,5 128,7 132,6 135,0 138,7 142,7 145,9 *** 146,6 140.0 148,8 1510 151,9 ITAA 151,4 w 151,9 157,6 163,2 164,3 160,7 166,6 171,8 178,8 182,9 dok, 3 181,8 183,8 179,6 183,0 191,7 194,5 197,8 202.9 206,9 210,5 211,9 208,7 210,7 2107 214,5 2208 220,8 222,8 222 8 226,0 232,4 235,8 238,1 250, 1 244,2 ** 242,1 * 240,6 241,4 244,0 249,1 254,6 256,7 population 16-64 (thousands) 105160 106314 107407 109497 111301 111501 113090 410000 114896 116835 118805 100 120781 100000 122963 IDENCE 125265 127572 129951 132317 134647 137040 139486 141920 141520 144308 M 146731 Chade 148709 150388 APARTA 151874 ***** 153314 CATED 154758 *Com 156277 157792 159110 160180 161396 163124 164849 166710 166719 168638 170652 172945 172945 175445 175445 178018 176016 180606 LOUOUO 182987 Loks or 185471 187916 190146 192329 194528 196872 199004
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