Capitalism has nothing to do with compound growth. If you are a central bank, however, and you want to extract a regular percentage of money from the public you must, by the laws of mathematics, inject an exponential (compounded growth) amount of cash into the system*. So, the supposedly exponential or compound growth of the Dow Jones or your investment portfolio or bank balance sheets and so on is a mirage created by the exponentially growing flood of cash being injected by the world’s central banks. Has nothing to do with the market, let alone a free market/capitalism.
“Growth” is not well-defined and intentionally so. Do they mean population growth? What about capitalism depends on the fertility rate exceeding 2.1 (or whatever the fertility rate is that balances the death rate)? If they mean the money supply, I’ve answered that, and see the example below. If they mean the available number of choices of goods and services, how does this matter? If they mean energy consumption, I can see how that matters in a very weak sense since increased energy consumption necessarily entails increased pollution but then solving this is a problem of stronger application of property rights (a key component of capitalism) to force polluters to feel the costs of their actions.
Clayton -
*Let’s say there’s $1,000,000 in existence. As the central bank, you are charged with collecting revenue for the government in the form of 10% inflation per year. To do this, you inject $100,000 into the money supply, devaluing the existing money stock by 10% and netting $100,000 revenue to the government - easing the amount of taxes which the government must levy to fund itself. The next year, the money supply is $1,100,000 so to get 10% you must inject a little more than $100,000… this time, you must inject $110,000. This devalues the existing money stock by 10% and nets the government the same effective revenue as it did last year. The next year, the money supply is $1,210,000. So, you must inject $121,000 to devalue by 10%. If you chart out the numbers, you will see a compound growth:
1,000,000.00 – Money supply in year 1
1,100,000.00 – Mony supply in year 2
1,210,000.00 – etc.
1,331,000.00
1,464,100.00
1,610,510.00
1,771,561.00
1,948,717.10
2,143,588.81
2,357,947.69
As you can see, the money supply is growing faster and faster every year. With it, GDP grows, stock indices rise, prices of goods and services rise, incomes rise, everything floats ever upward.