Question

1. For the following, assuming that there is no population growth or technological progress.

a) What is the equation that defines the steady-state level of capital per worker?

b) How would you determine the steady state level or output per worker (i.e., real GDP per capita) from (a).

c) Explain, in words, how an economy that starts with too much capita per worker gets to its steady state.

2. Many demographers predict that the United States will have zero annual population growth in the 21st century, in contrast to one percent annual population growth that occurred in the 20th century. Use the Solow Model (without technological advancement) to predict the effect of this slowdown in population growth on the steady state

a) level of output per person

b) economic growth rate

Answer #1

In the Solow growth model with population growth but no
technological progress, if in the steady state the marginal product
of capital equals 0.10, the depreciation rate equals 0.05, and the
rate of population growth equals 0.03, then the capital per worker
ratio ____ the Golden Rule level.
A) is above
B) is below
C) is equal to
D) will move to

Answer the following questions using the basic Solow growth
model, without population growth or technological progress.
(a) Draw a diagram with per worker output, y, consumption, c,
saving, s and investment, i, on the vertical axis and capital per
worker, k, on the horizontal condition. On this diagram, clearly
indicate steady-state values for c, i, and y. Briefly outline the
condition that holds in the steady- state (i.e. what is the
relationship between investment and the depreciation of
capital?).
(b)...

1) In the steady state of the Solow model with technological
progress, which of the following variables is not
constant?
(a) capital per effective worker
(b) the real rental price of capital
(c) the real wage
(d) the capital-output ratio
2) The U.S. economy has more/less capital than at
the Golden Rule steady state, suggesting that it may be desirable
to
increase/decrease the rate of saving.
3) The purpose of exogenous/endogenous
growth theory is to explain technological progress. Some of these...

1. In the Solow model without exogenous technological change,
per capita income will grow in the long term as
long as the country has an initial level of capital below the
steady state level of capital (k o < k ⋅)
TRUE OR FALSE?
2. In the Solow model without exogenous technological change, per
capita income will grow in the short term as long
as the country has an initial level of capital below the steady
state level of capital...

Consider the simple version of the Solow model, with no
population growth and no technological change. Suppose that, due to
an aging capital stock, an economy experiences a sudden increase in
its depreciation rate.
a. Show the impact of an increase in the depreciation rate to ?
′ > ? on the diagram.
b. What happens to the steady-state level of capital?
_______
c. What happens to the level of output in the steady state?
_______
d. Assuming that the...

In the Solow model, increases in the rate of population growth
and increases in the rate of technological progress both lower the
steady state values of capital and output per efficiency unit. True
or false: Therefore both are undesirable. If false, explain how
they differ in their consequences for levels and growth rates of
Y/L.

In the steady state of the Solow model, higher population growth
leads to a _________ level of income per worker
and _________ growth in total income.

Question 1
Growth Suppose that the economy’s production function is: ?? =
?? 0.35(???? ) 0.65 and that the saving rate (s) is equal to 10%
and that the rate of depreciation (?) is equal to 2%. Further,
suppose that the number of workers grows at 5% per year and that
the rate of technological progress is 1% per year.
a. Find the steady-state values of:
• capital stock per effective worker
• output per effective worker
• consumption per...

Which of the following statements about the Solow growth model
is FALSE?
A. The higher steady-state capital per capita, the higher the
output/income per capita.
B. The higher output/income per capita, the higher consumption
per capita.
C. Golden-rule capital per capita must be a steady state, but
not all steady-state is also a golden-rule.
D. Golden-rule capital per capita can be achieved by setting
the saving rate at the appropriate level.

Answer the following
Y = f(k) = ka, where a = 0.25
S = 0.3
δ = 0.2
n = 0.05
g= 0.02
a. Find the steady state capital per effective worker, output
per effective worker, investment per effective worker, and
consumption per effective worker.
b. Find the steady state growth rate of capital per worker,
output per worker, investment per worker, and consumption per
worker.
c. Find the steady state growth rate of capital, output,
investment, and consumption.
d....

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