Interest rates match business activity to savings.

If I want to start some new business venture, I will compare what it costs me to borrow the money with what I expect to make from the venture. If I make more than the interest cost, I'll pursue the venture. Even if I already have the money, I could lend it out for roughly the same interest rate so I make (almost) the same comparison.

When interest rates go up, this tends to pull more money into savings (and thus away from consumption, freeing real resources). When interest rates go down, there's less reward for saving and consumption becomes relatively more attractive.

In a properly functioning free market, interest rates match non-consumption (savings) with business activity. "Money" in this process is a coordination mechanism for real resources. By delaying consumption (saving) I make real resources (concrete and steel, etc) available for business use.

When the central bank intervenes to suppress interest rates (perhaps by permitting fraudulent activity by commercial banks, perhaps by directly extending credit from the central bank), this increases the attractiveness of business activity (because the alternative is less attractive) and increases the attractiveness of consumption (because the alternative is less attractive). Thus real resources are withdrawn from business availability (and into consumption) just as demand increases. This is inflationary and disruptive.

Note that this happens even if the bank lending is only for productive business ventures. While lending for consumption is an important phenomenon, the shift towards consumption I am describing is the consequence of lower interest rates and lower incentive to save, not necessarily low cost for personal borrowing.

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Yes - that's the key - lending should come from real savings which involve delaying consumption.

We have fractional reserve banking which allows credit creation. The bank is permitted to lend out the money while only holding a portion ready for depositors. In theory those depositors could demand all of their deposits this afternoon, and this would be a bank run and could bankrupt any bank in the developed world on any day. This is why some people (eg me) think the financial system is very precarious and could blow up tomorrow or could blow up 20 years from now - the difference is psychological. In 1800s England under this system they had a financial crisis every 10-15 years.

The alternative (in my view) is full-reserve banking. In this model, when a bank promises to pay your deposit immediately, they are required to actually hold that money available for immediate redemption. Failure to do so would result in the assets of the bank (or to go back to the original joint-stock companies, the personal fortunes of the bank's directors) being seized to make good on their obligation. Consequently lending can't come from funds that are promised to immediate payment. Banks would instead need to borrow for the term of the loan they intend to make. So I would buy a 30-year certificate of deposit, the bank would lend those funds out to a home buyer and I wouldn't be entitled to demand my money back for 30 years.

Another name for this is maturity-matched accounting.

And if the question is "Where does the money supply come from under full-reserve banking?" the answer is the ground. We dig it up and stamp it into coins