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Throw negative interest rates & hyper inflation into the picture, then you will find your elasticity demand for cash.
Byran I have a hard time seeing the difference. More loans is more money.
When Bank of America issues you a loan what they really issue you is a checkable account. That is money.
Now most loans are to buy something in particular. However, the person from whom you buy something can keep the extra money as increased money balances, they can save it back at the bank or they can buy something with it themselves.
Suppose they do the first - then money balances have increased.
Suppose they do the second - then the bank will simply reloan that same amount to someone else starting the process over again.
Suppose they do the third - now that person has more money for which they have three options. . .
In the end all of the extra loans have to end up as money somewhere.
The only way it does not is if the banking industry cannot entice the public to hold more outstanding loans by lowering the interest rate. This is a liquidity trap.