Dear Clark,
Originally Posted by
Clark
> I'd like to take this up as a separate subject because it pertains
> to one of my initial objections to what you present on your
> website. Your website presents a graph of the stock average over
> the last 120 years with a regression line drawn through it and
> makes the conclusion that the stock average will revert back to
> the regression line. My comment was that the 3.5% or so economic
> growth rate over the last 120 years that underpinned the growth in
> the stock averages is significantly higher than the 1% or so
> economic growth rate over the last 2000 years. I then did some
> rough calculations that showed how I got to 1% and stated
> something to the effect that your assumption would not be valid if
> there was a reversion to long term growth rates and left it at
> that. The price structure that you present is a fractal. I don't
> know if you dispute that assumption but if you do, we can talk
> about that. As I stated before, economic growth, (incorrectly)
> represented by GDP growth as a proxy, correlates with the growth
> in the stock averages. GDP growth is comprised of growth in energy
> usage (approximately 2% per year) plus improvements in energy
> intensity (approximately 1.5% per year). Energy intensity is
> defined as the energy input in BTUs per dollar of GDP output.
> Therefore, the conclusions you make based on your graph implicitly
> assume that energy will not be a limiting factor in economic
> growth.
You're referring to an e-mail correspondence that we had many months
ago. At that time you said, "You show a long term growth line fitted
to the stock average. I think you mention long term real growth is
4.7%. Long term depends on how you define it. I know it's difficult
to extrapolate further back than you have based on stock prices.
However, I think it's safe to say that all of the wealth in the world
would have been worth at least a million dollars in 1 A.D. and it
might be worth 100 trillion now. This would imply a long term growth
rate of 0.9%."
After some give and take, I responded: "Here's a problem that's been
sitting in my (virtual) stack of tasks for a couple of years now: The
DJIA grew at 4.7% per year from 1890-2002, while the S&P 500 index
grew at 1.6% per year from 1871-2004. Now, why the huge range of
percentages, since they should presumably be measuring the same
thing? I believe that the answer lies in the selection of the 30
companies in the DJIA and the Byzantine methodology for computing the
index, but I haven't really researched it."
So a lot depends on what you're measuring. As I said at the time,
figuring out exactly why the growth rate of the DJIA and S&P indexes
are so far apart might throw some light on the correct methodology to
be used.
I do not know if GDP growth is as directly related to energy growth,
as you say. I don't believe that it's true, but at any rate it has
to be proven.