> If I put a dollar in my savings account and the bank loans it out to someone else, who has the dollar?
I don't think that's how banks work; at least in the US and England.
Below is an extract from an excellent article/tutorial from The Bank of England[1]
In the modern economy, most money takes the form of bank deposits. But how those bank deposits are created is often misunderstood: the principal way is through commercial banks making loans. Whenever a bank makes a loan, it simultaneously creates a matching deposit in the borrower’s bank account, thereby creating new money.
The reality of how money is created today differs from the description found in some economics textbooks:
1. Rather than banks receiving deposits when households save and then lending them out, bank lending creates deposits.
2. In normal times, the central bank does not fix the amount of money in circulation, nor is central bank money ‘multiplied up’ into more loans and deposits.
[1] https://www.bankofengland.co.uk/quarterly-bulletin/2014/q1/m...