Not really. It's not so much that the economy in particular will grow, but that your personal income will grow.
Which, unless your income is completely divorced from your skill level, it will. Even if you shine shoes for a living, you will be a more skilled shoeshine boy ten years from now than you are today, which means that you'll be able to service more customers faster, better anticipate and fill their needs, and earn more tips per customer with more customers.
But this doesn't mean that "shoeshine boy" as a career is growing, just that you yourself are better at it. The people who are the Grand Old Men of the field today are earning the big bucks, but ten years from now they'll be retired, and you'll be the big dog. (And twenty years from now you will be retired.)
Okay, makes sense. But it seems in the case of the really large money movements (or the ones that come in bundles large enough to have economic impact), the "person" is a nation, i.e. the personal growth in income is just said national economic growth. And when a nation "retires", we deem it a catastrophe for all involved.
You're not totally wrong about the fact that it is a bet and not a sure thing. However, given what we know of history, it's a good bet. The total value in the system has been increasing for thousands of years.
Some of it is slow and steady - each individual day of labor adds value and there are more people contributing their labor every day.
Some of it comes in leaps - The invention of the steam engine, and of electricity, multiplied the amount of labor an individual could do by many, many times.
Some of it comes in simple investment - spending capital on a larger or faster machine means that more goods can be made in the same amount of time. But the capital must be borrowed. Where is it borrowed from? A future where the machine is already producing more goods and creating more profit.
Ecology may not be the best way to think about the system. A tree or an entire forest of trees really can't promise their future production to obtain current benefits.
Borrowing from the future has been a good bet historically in that for most of that time we were only starting to make a dent into the resources that enabled the future to do what was expected of it.
The population-ecological view is applicable insofar as this bending of all efforts towards growth is a wonderful strategy as long as there are plenty of resources to tear into, but for the organism involved, it invariably means live fast, crash hard (usually when the space runs out). Then the equilibrium communities take over. Humans have been having splendid success as first-stage colonizers, but what we
want to be (because we don't fancy crashing) is a long-term, equilibrium species. I.e., we have to switch life histories at some point. A case can be made that that point is approaching or already here, because we can see the resource-gobbling lifestyle getting harder to sustain. (This is just the practical phrasing of what every environmentalist agenda is getting at.)
In that case the growth-acceleration techniques are no longer appropriate, and to keep promoting them because "it worked fine in the past" seems to miss the point.
The optimistic approach is of course to think that we can keep doing so because we will manage to boldly find new space to expand into. E.g., develop cold fusion, breed Hi-Octane Oil Trees, and colonize Mars. Which is another bet, and a bit more risky.
All of this might seem like unnecessary doomsday drama when we were just talking about some financial practices. But what concerns me is that underlying philosophy (I couldn't care less, and couldn't judge, whether a bank is technically fraudulent or not when it snaps virtual greenbacks into existence).