The table attached reports per capita GDP and capital per person in the year 2017 for 10 countries. Your task is  to fill in the missing columns of the table. (a) Given the values in columns 1 and 2, fill in columns 3 and 4. That is,  compute per capita GDP and capital per person relative to the U.S. values. (b) In column 5, use the production model (with a capital exponent of 1/3)  to compute predicted per capita GDP for each country relative to the  United States, assuming there are no TFP differences. (c) In column 6, compute the level of TFP for each country that is needed  to match up the model and the data. (d) Comment on the general results you find.

Principles of Economics 2e
2nd Edition
ISBN:9781947172364
Author:Steven A. Greenlaw; David Shapiro
Publisher:Steven A. Greenlaw; David Shapiro
Chapter7: Production, Costs, And Industry Structure
Section: Chapter Questions
Problem 24RQ: What is a production technology?
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The table attached reports per capita GDP and capital per person in the year 2017 for 10 countries. Your task is 
to fill in the missing columns of the table.
(a) Given the values in columns 1 and 2, fill in columns 3 and 4. That is, 
compute per capita GDP and capital per person relative to the U.S. values.
(b) In column 5, use the production model (with a capital exponent of 1/3) 
to compute predicted per capita GDP for each country relative to the 
United States, assuming there are no TFP differences.
(c) In column 6, compute the level of TFP for each country that is needed 
to match up the model and the data.
(d) Comment on the general results you find.

Country
United States
Canada
France
Hong Kong
South Korea
Indonesia
Argentina
Mexico
Kenya
Ethiopia
In 2011 dollars
(1)
Capital
per person
175,075
153,390
136,004
154,766
(2)
Per capita
GDP
54,807
42,540
38,841
40,603
36,521
10,598
142,891
26,620
31,589 16,469
41,866 17,070
4,179
3,069
2,938
1,596
(3)
Capital
per person
1.000
Relative to the U.S. values (U.S. = 1)
(6)
(5)
Predicted
y*
Implied TFP
to match data
1.000
1.000
(4)
Per capita
GDP
1.000
Transcribed Image Text:Country United States Canada France Hong Kong South Korea Indonesia Argentina Mexico Kenya Ethiopia In 2011 dollars (1) Capital per person 175,075 153,390 136,004 154,766 (2) Per capita GDP 54,807 42,540 38,841 40,603 36,521 10,598 142,891 26,620 31,589 16,469 41,866 17,070 4,179 3,069 2,938 1,596 (3) Capital per person 1.000 Relative to the U.S. values (U.S. = 1) (6) (5) Predicted y* Implied TFP to match data 1.000 1.000 (4) Per capita GDP 1.000
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The empirical fit of the production model: 

(The empirical fit of the production model) NOTE: only work on Canada, France, Mexico, Kenya, and Ethiopia (5 countries)

(d) Comment on the general results you find.

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