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Growth

Let’s start with a bit of a joke, or maybe a

mind teaser. Say you are in a bar or

restaurant with 10 other people. Then Bill

Gates walks in. What happened to the per

capita income of the people in the bar? It

rose! Are you any better off? Not unless

Bill gives you some of his income!

In Econ, we look at increases in RGDP per

capita as a sign that we are better off!





1

Digress : the handy rule of 70 (Some people say 72)

This idea is about the number of years it takes something to

double in size if growing at rate r (this is an approximation,

but a handy rule none the less)

70 divided by r, where r is expressed as a %, not a decimal.

Example: 3% growth a year  70/3 = 23.33

2% growth a year  70/2 = 35









2

So with a RGDP growth rate at 3% the size of the “economic

pie” doubles about every 23 years.

If growth is only 2% it takes about 35 years for the size of the

economy to double.

Why should we care about the growth? Well, the population

tends to grow, does it not? And the growing population wants

a good standard of living, right? So, keep the growth rate up

to keep the standard of living (in the sense of per capita

income – the RGDP divided by the population) at least

constant, or better yet, growing.









3

Remember we noted two things about the RGDP in a previous

chapter.

1) Over the long haul, or long term, RGDP has moved

upward and this is called economic growth.

2) In the short term there are economic fluctuations - ups and

downs in the level of RGDP. This shorter term pattern is often

called the business cycle.

Two ideas we want to consider about the long term, associated

with the RGDP, are the RGDP per capita and the RGDP per

capita growth rate.









4

RGDP per capita is the RGDP divided by the population. In

this sense it is a measure of what people get on average. It

is generally thought that as the RGDP per capita gets larger

the standard of living, or economic well-being, of the

country is growing.

In the year 2000 the RGDP per capita in the US was around

$34,260. The growth rate was, on average, 1.81% for the

US for the period of time 1870, yes 1870, to the year 2000.

1.81% growth means the economy doubled in size every

70/1.81 = 39 years or so. So over the 130 years the US

economy doubled in size roughly 4 times (in per capita

terms.)





5

Let’s perform a trick that will show us an interesting result.

You and I now know that RGDP per capita = RGDP/Pop. Here is

the trick. Let’s multiply this definition by 1, where 1 = the number

of workers divided by the number of workers. We get

RGDP per capita = (RGDP/Pop)(number of workers/number of

workers) and then rearranging we get

RGDP per capita = (RGDP/number of workers)(number of

workers/Population).

If here Y = RGDP

Y/POP = (Y/N)(N/POP).

Y/N is called average labor productivity. So, the RGDP per capita

depends in part on the average labor productivity.



6

Here we study what can make average labor productivity grow.

1) Work harder. If labor works harder than perhaps productivity

can grow and we can get more output per worker. But, this

method of getting output is just one, and probably not the most

important, factor in increasing labor productivity.

2) Human capital. Human capital refers to talents, education,

training and skills of workers.

You what to know something? It is easy to kick someone in the

face when you are standing on their shoulders. I mention this

because down through the ages we have accumulated knowledge

about how to do things. In the present day we build on what we

have learned from the past and this has certainly increased our

average labor productivity.



7

3) K – Capital

Capital, or physical capital, are the tools we make to help us make

other stuff. These tools make us much more productive in terms of

ability to generate output.

I was watching the history channel one day and there was a

program about lumber. It was mentioned that the tools used to cut

wood have been refined in such a way that per tree we can get

more pieces of lumber. Basically the teeth of the saws have been

made smaller and better. This enhances the output per worker.

4) Natural resources and Land. The quality of land in a country

contributes to average labor productivity, but what gives a boost is

discovering more of the other natural resources we have. This

would include petroleum and metals and stuff like that.



8

5) Technology

Think about personal computers today. They really are pieces

of capital. But they are more sophisticated today and the same

size box today does now more than ever. So we have had

technological advancement.

In the US economy we have had tremendous advancement in

areas such as transportation, communications, manufacturing

and medicine.









9

6) Entrepreneurship and management. You have probably

heard of the names Ford, Carnegie, Rockefeller, Walton and

Gates. These folks, and many more like them, are called

entrepreneurs and they have started new enterprises. Their

work has often lead to improvements in the way we do things

and thus labor productivity has been enhanced.

7) Political and legal environment. How would you like it if

you had to give me 5 bucks every day? You probably

wouldn’t like it. You might even think your private property

is being taken unjustly and maybe you wouldn’t produce

stuff so you wouldn’t have the 5 bucks.

Governments have a role in making average labor

productivity higher by establishing rule (laws) that are

conducive to productivity. Well defined property rights help

promote productivity because we know what we can do with 10

the resources we control.

So, up to know we have considered factors that have increased

our ability to make output – that have contributed to economic

growth. Next let’s look at how we might go about enhancing

these ideas.

Increasing Human Capital

Many governments provide education free to the public as

consumer with the idea that the increased knowledge gained will

enhance productivity. Governments can also make the tax

environment less burdensome when folks engage in activity that

enhances worker knowledge.









11

Saving and Investment

For now let’s broadly define saving as our income not

consumed. We saw in a previous section on production

possibilities that as we consume less - save more - we can

devote more to the accumulation of capital goods. This

accumulation of capital goods is called investment and depends

on saving.

Countries that tend to save more have greater capital

accumulation and higher RGDP levels.

Even if a country does not save much it can accumulate more

capital goods if foreigners bring their savings there. This

foreign interaction could take two forms: foreign direct

investment or foreign portfolio investment.

12

Foreign direct investment is when a company owns and operates a

segment of its business in another country. Ford Motor Company

assembly lines in other countries is an example of this, or a

Mercedes Benz assembly line in the US. Foreign portfolio

investment is foreign money helping a business but operated by

domestic residents.

So, whether we save or have foreigners contribute, more

investment in capital goods means the economy can grow.

Diminishing returns

You and I know that when you give people tools (capital goods) to

work with their output grows because tools help us do things

quicker and better. But, given all other factors, the increases in

output slow down as you continue to increase capital because at

some point we just can’t use all the tools all the time. So, more13

tools means more output, but at diminishing rates.

The catch-up effect

analogy first - people who have never played golf before will

probably start out shooting about a 60 for nine holes, whereas

folks who have played for some time will shoot around 45 or

better. Now if both types of players play about the same amount

of golf the 60’s shooter will lower scores quicker than the 45

shooter. The logic is the 60’s shooter has beginners stuff to

learn and the finer points of the game, while the 45 shooter only

has to work on the finer points. The beginner stuff is easy and

so the 60 shooter can lower the score by 10 shots quickly,

whereas the finer points are hard to get and thus to lower a 45 to

35 is a lot harder. So, when we are relatively new, the scores

lower more quickly that when we are a veteran. The relatively

new players experience the catch-up effect (terminology here -

not to be confused with the spot on your shirt after eating a

14

burger – that is the ketchup effect).

Counties with low rates of capital usage will experience the

catch-up effect early on as they employ more capital, but

eventually diminishing returns will set in. Similarly the rate of

growth of RGDP will be high at first but then the rate of growth

will slow.

The US is often criticized for having low rates of growth

compared to other countries. But, remember we are the biggest

economy in the world.

Exaggerated example: US economy grows from 13 trillion to 14

trillion – a 7.7% gain in GDP. Mexico grows from 2 trillion to 3

trillion – a 50% gain. When you just look at percent US looks

weak.





15

Population Growth and some guy named Malthus

Malthus, a man dead for many years now, thought the human race was

doomed to a subsistence level of output. To Malthus the population

would grow faster than output and we would end up with less and less

stuff per person. Eventually this would mean we would all be

miserable – (imagine Tiny Tim’s family before Scrooge has a change

of heart). I like to think that Malthus thought the human race was like

a population of deer. Eventually the size of the population gets so large

that there is not enough food to go around and thus the population dies

off.

The thing Malthus did not foresee was the advancement of technology

and the use of capital goods. Technology and capital goods overcome

population crowding and provide us with increased living standards.

Was Malthus just ahead of his time (but basically right?) or will technology

and capital continue to keep us ahead of the doom and gloom? Only

time will tell, but I think Malthus will always be wrong. But, I thank 16

him for thinking. We must always be vigilant on these matters!



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