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# r greater than g but less inequality

Video transcript

One of the core ideas
of Thomas Pickety's book is if the return on capital is greater than the growth in economy, then that could drive inequality. That could drive inequality, and inequality is a natural byproduct of a market capitalistic economy and one could argue that hey look, some inequality
is going to happen as you grow your economy and you
let people be entrepreneurial and some people get lucky, some people less lucky, some people work harder, some people work less hard, some people are able to
allocate capital well, some people aren't, so it all comes into it, but in extreme forms maybe this is bad. And in particular, maybe
this is bad for democracy. So bad for democracy right over here. Maybe too much power starts
to accrue in some ways and in the worst case, because that kind of starts to drive in on itself, it actually might even
hurt economic growth if you don't have enough consumers or people with enough purchasing power or discretionary income or whatever else. But what I really want to focus on here is not so much whether these
causalities are actually there or how much we should worry about them, once again, my point
isn't to give an opinion on whether I agree or disagree with some or all of the book, it's really just to give you a framework because I think the book at least raises an interesting conversation and it gives us a lot
of, I would say, fodder for interesting analysis
and critical thinking and that's really what I
want you to walk away with. How do you think about these things and you just need to
make your own judgment. So what I want to do here is at least show a circumstance that this might be returns on capital being greater than economic growth, can be a reasonable proxy
for rising inequality and of course this connection over here is kind of a harder thing to necessarily draw the connection. But even this one isn't
always going to be the case. And to think about that, let's just imagine an economy where the whole economy
just produces apples. So let's say the whole
economy right over here This is our entire economy. And let me copy and paste it. So copy and paste it. I'm going to paste it to show
the growth in the economy. So let's say in year one, so this is year one right over here, year one, it produced 1000 applies, 1000 apples. And let's say in year two, year two, we have economic growth, so let me draw that, So G, going from year one to year two, let's say that this is equal to 2%. So 2% of 1000 would be 20 more apples, so in year two the economy
produces 1020 apples. Right over there. Now let's say that in year one, of the thousand apples that were produced, let's say that 500 of them, I'll just split it in half, let's say 500 of them go
to the owners of capital, 500 to the owners of capital. Now what's the owners of capital? What do they own, it's a very simple economy
that only has one industry right over here, but the owners of capital are the people who would own the orchard, who own the trees, who own the machinery, whatever they need to pick the apples. And let's say that the
other 500 goes to labor, 500 to labor. And let's say that the
value of the capital here, so the value of capital in apples, we're just assuming everything going on here is apples. I guess to buy this apple orchard, the owner of it had to
give let's say 4000 apples, 4000 apples. So given this, what is the return on capital in year one. Well the return on capital, I'll just write return on capital, capital in year one is going to be, well the return is 500 apples, 500 apples, divided by the cost, or I guess you could say
the value of the capital, so divided by 4000 apples, so that's going to give
us 5 divided by 40, which is one-eighth, so
that's going to be 12.5%. So return on capital,
at least in year one, is greater than, well let's go to year two. So we can look at the return
on capital in year two and compare it to the
growth right over here. And so let's just say that
the value of the capital, that all of it was reinvested, so now the value of the capital, value of capital, is now 4000 plus 500 more apples, so 4500 apples. They reinvested it in the business. And they didn't necessarily use the apples as capital, but they used those extra 500 apples to go buy some more machinery or buy some more land whatever it might be. And let's say though that the labor had a little
bit of leverage this year. So in this year, because labor had leverage, only 500 still goes to
the owners of capital. Now this isn't necessarily
going to be the case. If the owners of the
capital have leverage, maybe they could negotiate the other way. But let's say this situation still 500 goes to labor, sorry, 500 goes to capital. Capital. And here 520, 520 would go to labor. 520 to labor. So now with the return on capital, the return on capital now is going to be still 500 apples, 500 apples, divided by, divided by 4500. 4500 apples, which is going to be, this is now going to be equal to one-ninth which is the same thing as, what is that, .99, so let's see, actually .1111, let me just, one divided by nine, yes it's .1111, so it's going to be approximately 11%. Or I'll say 11.1%. Approximately 11.1%. Now the whole reason why
I wanted to show that, why I did this diagram, is that this is a situation
where R is greater than G. Our return on capital is 12.5%, going to 11.1%, both of these numbers are much larger than our growth of the entire economy, but even though that's happening, you actually don't have
rising inequality over here. In this situation, of course, I worked the numbers to make this happen. I could've worked them the other way, but in this situation, it's not necessarily the case that R being greater than
G led to more inequality. Now in future videos
I'll do some spreadsheets where you see if R stays constant, at a constant value higher than G that will lead to inequality, but the whole reason why I did this one, is that just in a given period of time R being greater than G doesn't necessarily mean more inequality. In this case, labor, labor got more of a fraction of the total national income. And once again, the connection between capital and labor and income inequality is that in general the
income that goes to labor is more indicative of the income that might go to the lower
quartiles of a population and the income that goes to capital is more indicative of the income that might go to the
top percentile or decile because capital tends to be concentrated in the top few sections.