Transcript Chapter 12: Technological Progress and Growth
C H A P T E R
12
Technological Progress and Growth
Prepared by: Fernando Quijano and Yvonn Quijano And Modified by Gabriel Martinez
Technological Progress and Growth
The model in this chapter is identical to the model in chapter 11 except for two details: Technology (and population) grow over time.
Everything is measured in terms of worker.
effective
– Kind of “worker plus way of doing things.” © 2003 Prentice Hall Business Publishing Macroeconomics, 3/e Olivier Blanchard
http://www.carltonartgallery.
com/images/Warren%20De nnis%20Gallery/Farmer%2 0&%20Wife.jpg
+ http://www.kendewaard.com/i mages/Landscape_Amish3Ho rsePlow_t.jpg
+ http://www.buckfastleigh.devo
n.sch.uk/gallery/Buckfastleigh %20Farm%20Hands%201930 s.jpg
= + + = http://www.ourplanet.com/im gversn/84/images/nowicki1.g
if © 2003 Prentice Hall Business Publishing http://www.bigcountrytradingpost.com/jernig an/images/Mvc-432s.jpg
http://www.urbanext.uiuc.ed
u/veggies/images/corn.jpg
Macroeconomics, 3/e Olivier Blanchard
12-1
Technological Progress and the Rate of Growth
Technological progress has many dimensions. It may mean: – Larger quantities of output – Better products – New products – A larger variety of products Technological progress leads to increases in output for given amounts of capital and labor.
© 2003 Prentice Hall Business Publishing Macroeconomics, 3/e Olivier Blanchard
Technological Progress and the Production Function
© 2003 Prentice Hall Business Publishing Macroeconomics, 3/e Olivier Blanchard
Technological Progress and the Production Function
© 2003 Prentice Hall Business Publishing Macroeconomics, 3/e Olivier Blanchard
Technological Progress and the Production Function
Let’s denote the state of technology by
A
and rewrite the production function as
Y
F K N A
(
+ + +)
A more restrictive but more convenient form is
Y
) Output depends on both capital and labor, and on the state of technology.
© 2003 Prentice Hall Business Publishing Macroeconomics, 3/e Olivier Blanchard
Technological Progress and the Production Function
A higher A means – technological progress reduces the number of workers needed to achieve a given amount of output.
– technological progress increases
AN
, which we can think of as the amount of
effective labor
, or labor in “efficiency units.” in the economy.
With constant returns to scale, More generally,
xY
) 2
Y
F
( 2 , ) © 2003 Prentice Hall Business Publishing Macroeconomics, 3/e Olivier Blanchard
Technological Progress and the Production Function
The relation between output
per effective worker
and capital per effective worker is:
Y AN
F
K AN
,1 which we can redefine as
Y AN
f
K AN
In words, output per effective worker is a function of capital per effective worker.
© 2003 Prentice Hall Business Publishing Macroeconomics, 3/e Olivier Blanchard
Technological Progress and the Production Function
Output per Effective Worker Versus Capital per Effective Worker
Because of decreasing returns to capital, increases in capital per effective worker lead to smaller and smaller increases in output per effective worker.
© 2003 Prentice Hall Business Publishing Macroeconomics, 3/e Olivier Blanchard
Interactions Between Output and Capital
The dynamics of output and capital per worker involve three relations: 1. The relation between capital per effective worker and output per effective worker.
Y AN
f
K AN
Production
© 2003 Prentice Hall Business Publishing Macroeconomics, 3/e Olivier Blanchard
Interactions Between Output and Capital
2. The relation between capital per effective worker and investment per effective worker.
I
S
sY
Dividing both sides by
AN
, we get
I AN
s
Y AN
Given that
Y AN
f
K AN
then
I AN
sf
K AN
Investment
© 2003 Prentice Hall Business Publishing Macroeconomics, 3/e Olivier Blanchard
Interactions Between Output and Capital
3. The relation between depreciation per effective worker and capital per effective worker.
If population rises (at rate
g N
), the amount of
capital per effective worker
will fall.
If technology improves (higher A) at rate
g A
, K/AN falls.
If capital depreciates (at rate d ), K/AN falls.
Then, what is the investment per effective worker needed to maintain a constant level of capital per effective worker?
© 2003 Prentice Hall Business Publishing Macroeconomics, 3/e Olivier Blanchard
Interactions Between Output and Capital
3. The relation between depreciation per worker —equivalently, the investment per worker needed to maintain a constant level of capital per worker —and capital per worker.
d
K
(
g A
g N
)
K
or equivalently ( d
g A
g N
)
K
The amount of investment per effective worker needed to maintain a constant level of capital per effective worker is © 2003 Prentice Hall Business Publishing ( d
g A
g N
)
K
Required
AN
Macroeconomics, 3/e
Investment
Olivier Blanchard
Interactions Between Output and Capital
Dynamics of Capital per Worker and Output per Effective Worker
Capital per effective worker and output per effective worker converge to constant values in the long run.
© 2003 Prentice Hall Business Publishing Macroeconomics, 3/e Olivier Blanchard
Dynamics of Capital and Output
At (
K
/
AN
) 0 , actual investment exceeds the investment level required to maintain the existing level of capital per effective worker,
K
/
AN
increases.
In the long run, or in the steady state of the economy, capital per effective worker and output per effective worker are constant and equal to (
K/AN
)* and (
Y
/
AN
)*.
© 2003 Prentice Hall Business Publishing Macroeconomics, 3/e Olivier Blanchard
Dynamics of Capital and Output
Note that in the steady state, Y/AN and K/AN are constant, but A and N are growing.
How fast do Y and K grow?
© 2003 Prentice Hall Business Publishing Macroeconomics, 3/e Olivier Blanchard
Dynamics of Capital and Output
In steady state, output (
Y
) grows at the same rate as effective labor (
AN
); effective labor grows at a rate (
g A
+
g N
); therefore, output growth in steady state equals (
g A
+
g N
). Capital also grows at a rate equal to (
g A
+
g N
).
The growth rate of output is independent of the saving rate.
Because output, capital, and effective labor all grow at the same rate, (
balanced growth
.
g A
+
g N
), the steady state of the economy is also called a state of © 2003 Prentice Hall Business Publishing Macroeconomics, 3/e Olivier Blanchard
Dynamics of Capital and Output
1 2 3 4 5 6 7 Table 12-1 The Characteristics of Balanced Growth Rate of growth of: Capital per effective worker Output per effective worker Capital per worker Output per worker Labor Capital Output 0 0
g A g A g N g A
+ g
N g A
+ g
N
© 2003 Prentice Hall Business Publishing Macroeconomics, 3/e Olivier Blanchard
The Effects of the Saving Rate
The Effects of an Increase in the Saving Rate: I
An increase in the saving rate leads to an increase in the steady state levels of output per effective worker and capital per effective worker.
© 2003 Prentice Hall Business Publishing Macroeconomics, 3/e Olivier Blanchard
The Effects of the Saving Rate
The Effects of an Increase in the Saving Rate: II
The increase in the saving rate leads to higher output growth until the economy reaches its new, higher, balanced growth path.
Notice that
between steady states
Y and K grow faster than g N + g A .
© 2003 Prentice Hall Business Publishing Macroeconomics, 3/e Olivier Blanchard
12-2
The Determinants of Technological Progress
Technological progress in modern economies is the result of firms’
research and development (R&D)
activities. The outcome of R&D is fundamentally
IDEAS
.
– For example, a reorganization of production or a longer-lasting windshield wiper.
Spending on R&D depends on: – The
fertility
of the research process, or how spending on R&D translates into new ideas and new products, and – The
appropriability
of research results, or the extent to which firms benefit from the results of their own R&D.
© 2003 Prentice Hall Business Publishing Macroeconomics, 3/e Olivier Blanchard
The Fertility of the Research Process
The determinants of fertility include: – The interaction between basic research (the search for general principles and results) and applied research (the application of results to specific uses).
– The country: some countries are more successful at basic research; others are more successful at applied research and development. A culture of entrepreneurship.
– Time: It takes many years, and often many decades, for the full potential of major discoveries to be realized.
© 2003 Prentice Hall Business Publishing Macroeconomics, 3/e Olivier Blanchard
The Appropriability of Research Results
Firms invest in technology if they expect to be profitable.
– R&D costs are considerable and the benefits are often uncertain and far into the future.
They only receive the profits if they are able to “appropriate” the technology, that is, to receive most of the benefits from its invention.
If firms cannot appropriate the profits from the development of new products, they will not engage in R&D.
© 2003 Prentice Hall Business Publishing Macroeconomics, 3/e Olivier Blanchard
The Appropriability of Research Results
Factors at work in appropriability include: – The nature of the research process. Is there a payoff in being first at developing a new product?
Maybe discovering A will lead to the immediate discovery of a better technology B.
– Legal protection.
Patents
give a firm that has discovered a new product the right to exclude anyone else from the production or use of the new product for a period of time.
Patents: basic research versus applied research.
© 2003 Prentice Hall Business Publishing Macroeconomics, 3/e Olivier Blanchard
12-3
The Facts of Growth Revisited
Capital Accumulation Versus Technological Progress
Fast growth may come from two sources: – A higher rate of technological progress. If
g A
is higher, balanced output growth (
g Y =g A +g N
) will also be higher. In this case, the rate of output growth equals the rate of technological progress.
– Adjustment of capital per effective worker,
K
/
AN
, to a higher level. In this case, the growth rate of output exceeds the rate of technological progress.
© 2003 Prentice Hall Business Publishing Macroeconomics, 3/e Olivier Blanchard
Capital Accumulation Versus Technological Progress
1. The period of high growth of output per capita, from 1950 to 1973, was due to rapid technological progress, not to unusually high capital accumulation.
2. The slowdown in growth of output per capita since 1973 has come from a decrease in the rate of technological growth, not from unusually low capital accumulation.
3. Convergence of output per capita across countries has come from higher technological progress rather than from faster capital accumulation.
© 2003 Prentice Hall Business Publishing Macroeconomics, 3/e Olivier Blanchard
Why Did Technological Progress Slow Down in the mid-1970s?
Why did technological growth slow down?
– Measurement error?
– Growth of the service sector, where technological growth is slow?
– Not enough spending on R&D?
– “Infertile” new technologies?
Compare that with the IT revolution.
© 2003 Prentice Hall Business Publishing Macroeconomics, 3/e Olivier Blanchard
12-4
Epilogue: The Secrets of Growth
Differences in output per worker between rich and poor countries are mostly attributed to differences in the measured level of technology across countries.
For various reasons, poor countries are unable to close this
technology gap
.
Some reasons include political instability, poorly established property rights, lack of entrepreneurs, and poorly developed financial markets.
© 2003 Prentice Hall Business Publishing Macroeconomics, 3/e Olivier Blanchard
Epilogue: The Secrets of Growth
The poor countries that have grown rapidly in the last 20 years have experienced a rapid accumulation of both physical and human capital.
Some of those countries have relied on the importance of foreign trade, free markets, and limited government intervention, while others have relied on government intervention and
industrial policy
—a policy aimed at helping specific sectors of the economy.
© 2003 Prentice Hall Business Publishing Macroeconomics, 3/e Olivier Blanchard