Question

- 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 is below/above/equal to the Golden Rule level.
- We can optimize per-capita income by increasing/decreasing/leaving alone the savings rate.
- What governmental policy could achieve this strategy?

Answer #1

The capital per worker ratio is below the Golden Rule level.
This is so since MP_{K} - Depreciation > n according to
the given data set. Whereas at golden rule
level, MP_{K} - Depreciation = n .

Because MPK-dep.=n at GR but MPK-dep. > n here.

We can optimize the per capita income by increasing the saving rate. However, a higher saving rate is not permanently translated into higher growth, it is just a temporary increase in the growth rate.

The government can achieve this strategy by altering its monetary policy. It could increase the interest rates, which would increase the opportunity cost of keeping savings in banks, and thus increase the savings rate.

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

In the Solow growth model of an economy with population growth
and technological progress, the steady-state growth rate in output
per worker is equal to:
(a) zero
(b) the rate of technological progress g.
(c) the growth rate of population n plus the rate of technological
progress g. (d) the rate of technological progress g minus the
growth rate of population n.
In the Solow growth model of an economy with population growth
and technological progress, the steady-state growth rate...

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. 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
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Which of the following statements about the Solow growth model
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A. The higher steady-state capital per capita, the higher the
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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 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)...

Intermediate Macroeconomics! Thank you!!
Suppose that the economy is summarized by the Solow economy with
technological progress:
Production Function: Y=10K.3(LE).7
Savings rate: s= .2
Depreciation rate: δ= .1
Population Growth rate: n= .02
Technological growth rate: g= .01
a) Derive the per effective worker production function for this
economy.
b) Based on your answer in part (a), derive the formula for
marginal product of capital (MPK) and show that the per effective
worker production function exhibits diminishing marginal product of...

In the solow growth model, the steady-state growth rate of
output per worker is ________
(a) equal to the sum of the rate of technological progress plus
the rate of population growth
(b) greater than zero
(c) equal to zero
(d) less than zero

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.

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...

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