ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
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SOLOW'S MODEL
Consider following information from China and New Zealand in table:
China
6.5%
Real per capita GDP growth, 2012-2019 (average %)
Real GDP per capita, 2012 (in constant 2017 USD)
Real GDP per capita, 2019 (in constant 2017 USD)
Average savings rate, 2012-2019 (% of real GDP)
Capital stock, 2019 (in millions of constant 2017 USD)
Population (in millions)
Population growth (in %)
Capital depreciation rate (in %)
11,169
16,655
43.7%
14,283,969
1,434
0.5%
3.0%
Production function in both economies has following functional form
1 2
Yt = AK³L³
New Zealand
1.6%
32,989
45,555
21.4%
409,160
4.8
1.0%
3.0%
Where Yt denotes aggregate GDP in period t, Kt is aggregate capital stock, Lt is
employment (assumed equal for whole population) and A is total factor productivity.
1. Find capital stock (k), output (y) and consumption (c) per capita in STATIONARY
STATE. Assume that total factor productivity (A) remains fixed at its 2019 level for each
country.
2. Find GOLD RULE levels of capital stock (k*), output (y*) and per capita consumption
(C*).
3. Assume now that each country decides to apply GOLD RULE SAVINGS RATE. Will
welfare increase or decrease after they switch from savings rate in effect in 2019 to
GOLD RULE RATE? Calculate per capita consumption (c) that each economy would
have achieved if it had applied GOLD RULE SAVINGS RATE.
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Transcribed Image Text:SOLOW'S MODEL Consider following information from China and New Zealand in table: China 6.5% Real per capita GDP growth, 2012-2019 (average %) Real GDP per capita, 2012 (in constant 2017 USD) Real GDP per capita, 2019 (in constant 2017 USD) Average savings rate, 2012-2019 (% of real GDP) Capital stock, 2019 (in millions of constant 2017 USD) Population (in millions) Population growth (in %) Capital depreciation rate (in %) 11,169 16,655 43.7% 14,283,969 1,434 0.5% 3.0% Production function in both economies has following functional form 1 2 Yt = AK³L³ New Zealand 1.6% 32,989 45,555 21.4% 409,160 4.8 1.0% 3.0% Where Yt denotes aggregate GDP in period t, Kt is aggregate capital stock, Lt is employment (assumed equal for whole population) and A is total factor productivity. 1. Find capital stock (k), output (y) and consumption (c) per capita in STATIONARY STATE. Assume that total factor productivity (A) remains fixed at its 2019 level for each country. 2. Find GOLD RULE levels of capital stock (k*), output (y*) and per capita consumption (C*). 3. Assume now that each country decides to apply GOLD RULE SAVINGS RATE. Will welfare increase or decrease after they switch from savings rate in effect in 2019 to GOLD RULE RATE? Calculate per capita consumption (c) that each economy would have achieved if it had applied GOLD RULE SAVINGS RATE.
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