final Flashcards
Growth
is the steady increase in aggregate output over time.
measuring the standard of living
- We care about growth because we care about the standard of living.
- Output per person, rather than output itself, is the variable we compare over time or across countries.
- We need to correct for variations in exchange rates and systematic differences in prices across countries.
- When comparing the standard of living across countries, we use purchasing power parity (PPP) numbers which adjust the numbers for the purchasing power of different countries.
Growth in Rich Countries since 1950
Countries with lower levels of output per person in 1950 have typically grown faster.
Change in Growth in Rich Countries since 1950 VS 1960
When we look at 85 countries for which we have data, we see that there is no clear relation between the growth rate of output since 1960 and the level of output per person in 1960.
For the OECD countries, evidence of convergence.
For the OECD countries, there is clear evidence of convergence.
- Convergence is also visible for many Asian countries, especially for those with high growth rates, called the four tigers—Singapore, Taiwan, Hong Kong, and South Korea.
- Most African countries were very poor in 1960, and some of them had negative growth of output per person between 1960 and 2011 due in part to internal or external conflicts.
aggregate production function
Y = F ( K, N)
where Y is output,
K is capital, and N is labour.
The function F depends on the state of technology.
susieja visą ekonomikos produkciją su visu ekonomikoje įdarbinto darbo kiekiu
Y = F ( K, N)
aggregate production function
where Y is output,
K is capital, and N is labour.
The function F depends on the state of technology.
constant returns to scale:
xY =F ( xK, xN)
tai, kas atsitinka su ilgalaike grąža, kai didėja gamybos mastas, kai visi sąnaudų lygiai, įskaitant fizinio kapitalo naudojimą, yra kintami.
production function and constant returns to scale imply
a simple relation between output per worker (Y/N) and capital per worker (K/N):
Y/N = F * ( K / N, 1)
Decreasing returns to capital:
Increases in capital, given labour, lead to smaller and smaller increases in output per worker.
Kapitalo padidėjimas, atsižvelgiant į darbo jėgą, lemia vis mažesnį produkcijos vienam darbuotojui padidėjimą.
Decreasing returns to labour:
Increases in labour, given capital, lead to smaller and smaller increases in output.
Darbo jėgos padidėjimas, atsižvelgiant į kapitalą, lemia vis mažesnį gamybos padidėjimą.
Increases in capital per worker:
Movements along the production function.
Improvements in the state of technology:
Shifts (up) of the production function, lead to an increase in output per worker for a given level of capital per worker.
Growth comes from
capital accumulation (a higher saving rate) and technological progress (the improvement in the state of technology)
Interactions between Output and Capital since 1970
Since 1970, the US saving ratio—the ratio of saving to gross domestic product—has averaged only 17%, compared to 22% in Germany and 30% in Japan.
Even if a lower saving rate does not permanently affect the growth rate, it does affect the level of output and the standard of living
Output, in the long run, depends on two relations
- The amount of capital determines the amount of output
- The amount of output being produced determines the amount of saving, which in turn determines the amount of capital being accumulated over time.
Higher capital per worker leads to …
to higher output per worker.
Assume: the economy is closed, public saving is 0, and private saving is proportional –> So the relation between output and investment:
The economy is closed: I = S + (T − G)
Public saving (T − G) is 0: I = S
Private saving is proportional to income: S= sY
where s is a saving rate, which has a value between 0 and 1.
So the relation between output and investment:
It = sYt
It = sYt
Investment is proportional to output.
The higher (lower) output is, the higher (lower) is saving and so the higher (lower) is investment
It = sYt
the economy, public savings, and private savings are:
The economy is closed: I = S + (T − G)
Public saving (T − G) is 0: I = S
Private saving is proportional to income:S = sY
where s is a saving rate, which has a value between 0 and 1.
The change in the capital stock per worker
is equal to saving per worker minus depreciation:
s* Yt/N - δ* Kt / N
Capital per worker refers to the measure of how much capital exists in the economy and how good that capital is. Moreover, improvement in the quality of capital per worker leads to economic growth since employees will make more services and goods with better capital.
δ meaning
where (delta) is capital depreciation.
If investment per worker exceeds (is less than) depreciation per worker
If investment per worker exceeds (is less than) depreciation per worker –> the change in capital per worker is positive (negative).
When capital and output are low –> …
When capital and output are high –> …
When capital and output are low, investment exceeds depreciation and capital increases.
When capital and output are high, investment is less than depreciation and capital decreases.
Steady state of the economy.
The state in which output per worker and capital per worker are no longer changing is called the steady state of the economy.
The steady-state value of capital per worker
The steady-state value of capital per worker is such that the amount of saving per worker is sufficient to cover depreciation of the capital stock per worker.
The saving rate
has no effect on the long-run growth rate of output per worker, which is equal to zero.
The saving rate determines the level of output per worker in the long run.
An increase in the saving rate will lead to higher growth of output per worker for some time, but not forever.
A country with a higher saving rate achieves
a higher steady-state level of output per worker.
An increase in the saving rate leads to a
period of higher growth until output reaches its new higher steady-state level
Golden-rule level of capital:
The level of capital associated with the saving rate that yields the highest level of consumption in a steady state.
Implications of Alternative saving Rates
What matters to people is not how many is produced, but how much they consume.
For a saving rate between zero and the golden-rule level
a higher saving rate leads to higher capital per worker, higher output per worker and higher consumption per worker in the long-term.
For a saving rate greater than the golden-rule level leads
a higher saving rate still leads to higher capital per worker and output per worker, but lower consumption per worker.
In the long run, output per worker doubles when
the saving rate doubles.
It takes a long time for output to adjust to its new higher level after
an increase in the saving rate. Put another way, an increase in the saving rate leads to a long period of higher growth.
Human capital (H):
the set of skills of the workers in the economy is built through education and on-the-job training.
As for physical capital (K)
accumulation, countries that save more or spend more on education can achieve higher steady-state levels of output per worker.
Models of endogenous growth
: Steady-state growth in output per worker depends on variables such as the saving rate and the rate of spending on education, even without technological progress
the current consensus is that given the rate of technological progress, higher rates of saving or spending on education do not lead to a permanently higher growth rate.
to compare the standard of living across countries we use:
purchasing power parity (PPP)
numbers which adjust the numbers for the purchasing power of different countries.
Technological progress can lead to:
*larger quantities of output for given quantities of capital and labour
*better products
*new products
*a large variety of products.
The state of technology (A)
is a variable that tells us how much output can be produced from given amounts of capital and labour at any time:
Y = F ( K, AN )
AN
so AN is the amount of effective labour.
effective labour
AN
With constant returns to scale and a given state of technology (A), if the amounts of capital and labour changes by x times,
output changes by x times: xY = F (xK, xAN)
If x = 1/AN, output per effective worker is a function of capital per effective worker:
Y / AN = f ( K / AN)
Because of decreasing returns to capital, increases in capital per effective worker lead to
smaller and smaller increases in output per effective worker.
When the economy is in a steady state, capital per worker and output
per worker grow at the rate of technological progress (gA).
The steady state of the economy is such that capital per effective worker and output per effective worker are
constant and equal to (K/AN)* and (Y/AN)*, respectively
On the balanced growth path (steady state or long run):
- Capital per effective worker and output per worker are constant.
- Capital per worker and output per worker are growing at the rate of technological progress.
- Capital and output are growing at a rate equal to the sum of population growth and the rate of technological progress.
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.
The increase in the saving rate leads to higher growth until
the economy reaches its new, higher, balanced growth path.
Most technological progress is
the outcome of firms’ research and development (R&D) activities.
The level of R&D spending depends
not only on the fertility of research (how spending on R&D translates into new ideas and new products)
but also on the appropriability of research results (the extent to which firms can benefit from the results of their own R&D).
Patents give a firm
that has discovered a new product the right to exclude anyone else from the production or use of that new product for some time.
Some researchers believe that management practices
might be stronger than many of the other factors that determine a firm’s performance, including technological innovations.
After the Korean War, South Korea has provided private ownership and legal protection of
private producers, while North Korea relied on central planning with no property rights for individuals
Fifty years later, GDP per person was 10 times higher in South Korea.
To sustain growth must:
To sustain growth, advanced countries that are at the technology frontier must innovate.
Poorer countries that are further from the technological frontier, can instead grow largely by …
by imitating rather than innovating, by importing and adapting existing technologies instead of developing new ones.
The difference between innovation and imitation explains
why countries that are less technologically advanced often have poor patent protection (e.g. China).
technological progress is the key to
increases in the standard of living.
technological progress is often blamed
for higher unemployment and for higher income inequality (bet statistika rodo kad didesnis darbingumas su technologijom)
For simplicity, we ignore capital so that the production function becomes:
Y = A N
so output is produced using only labour.
N = Y / A
employment equals output divided by productivity.
increase in productivity may increase or decrease the demand for goods. Thus, it may shift the
IS curve to the left or to the right. What happens depends on what triggered the increase in productivity in the first place.
there is a strong positive relation between output growth and productivity growth. But the causality runs from
output growth to productivity, not the other way around.
In the medium run, the economy tends to return
to the natural level of unemployment.
technological unemployment typically resurfaces
whenever unemployment is high, e.g., the Great Depression
Because the natural rate of unemployment is determined by the price-setting relation and the wage-setting relation (Chapter 7), we can consider how changes in technology affect each of the two relations.
increase in productivity
shifts both the wage- and the price-setting curves by the same proportion and thus has no effect on the natural rate.
There is little relation between the 10-year averages of productivity growth and the 10-year averages of the unemployment rate.
If anything, higher productivity growth is associated with lower unemployment.
Productivity and the Natural Rate of Unemployment In the short run
there is no reason to expect a systematic relation between movements in productivity growth and movements in unemploymen
Productivity and the Natural Rate of Unemployment In the medium run
if there is a relation between productivity growth and unemployment, it appears to be an inverse relation.
An inverse relationship is a situation where if one variable increases, the other tends to decrease
Fears of technological unemployment probably come from structural change
– the change in the structure of the economy induced by technological progress.
Openness in goods markets
The ability of consumers and firms to choose between domestic goods and foreign goods.
Even countries most committed to free trade have tariffs (taxes on imported goods) and quotas (restrictions on the quantity of goods that can be imported).
Openness in financial markets
The ability of financial investors to choose between domestic assets and foreign assets — until recently, even some rich countries had capital controls — restrictions on the foreign assets their domestic residents could hold and the domestic assets foreign could hold.
Openness in factor markets
The ability of firms to choose where to locate production, and of workers to choose where to work,
e.g., the North American Free Trade Agreement (NAFTA) signed in 1993 by the United States, Canada, and Mexico centered on how it would affect the relocation of US firms to Mexico.
Openness in Goods Markets
Since 1960, exports and imports have more than doubled in relation to GDP. The EU has become an increasingly open economy.
Real exchange rate
The price of domestic goods relative to foreign goods.
Nominal exchange rate
The price of the domestic currency in terms of foreign currency.
(Nominal) Appreciation
An increase in the price of the domestic currency in terms of a foreign currency, i.e., an increase in the exchange rate.
(Nominal) Depreciation:
A decrease in the price of the domestic cucurrency in terms of a foreign currency, i.e., a decrease in the exchange rate.
Although the euro has appreciated relative to the pound,
this appreciation has come with large swings in the nominal exchange rate between the two currencies (2022-11-21: 1Eur = 0.87GBP)
The real exchange rate
the price of euro area goods in terms of UK goods, is —-> ε = EP/P*
ε - real exchange rate
E – exchange rate
P – domestic price level
P* – foreign price level