Chapter seven says that $1,000 deposited in a bank can result in a $900 loan, since banks are allowd to loan 90% of their deposits. However, if that $900 loan is spent and then redposited in the bank, then the bank can loan $810 more dollars. This would result in $1,710 of loans coming from the original $1,000 deposit. As the loan monies are spent and redeposited and then reloaned, the original $1,000 can be leveraged up indefinitely. My question is, isn't the law that the bank can loan 90% of their total deposits at any time, rather than 90% of each deposit that comes in? The end result of the two are quite different.
My understanding is if the bank has $1000 in actual cash reserves it can then create a further $9000 out of thin air in the form of a loan.
Not in cash, but as an electronic loan.
So it technically complies with the fractional reserve lending requirements as it has at least 10% of what it loaned out (created) still in reserve.
The total of the loan plus what it holds in reserve is $10,000.
That fact that the $9000 didn't exist prior to the loan being made doesn't matter... it's how money is created.

Chapter seven says that $1,000 deposited in a bank can result in a $900 loan, since banks are allowd to loan 90% of their deposits. However, if that $900 loan is spent and then redposited in the bank, then the bank can loan $810 more dollars. This would result in $1,710 of loans coming from the original $1,000 deposit. As the loan monies are spent and redeposited and then reloaned, the original $1,000 can be leveraged up indefinitely. My question is, isn't the law that the bank can loan 90% of their total deposits at any time, rather than 90% of each deposit that comes in? The end result of the two are quite different.