Not true. Cash in hand or cash in the bank is actually an asset not a liability. Every diversified portfolio should have cash in it. Some say as much as 30% of your wealth should be in cash or in assets that can be quickly converted into cash. If all of your wealth is tied to real estate or illiquid assets than that is a problem.
Unless you're literally storing notes under your bed, your bank is lending out your money to someone.
Consider two banks in the same country, so having to comply with the same reserve requirements. The reserve requirements are defined as a percentage of the amount on the banks's deposit account at the central bank. So the bank which can transfer an extra deposit to this acount is the one which is able to lend more money.
Banks don't lend deposits. It seems that it's one of those fallacies that never die. Maybe, because it's in the textbooks.
"[..]reserve requirement does not act as a binding constraint on banks’ ability to lend and consequently their ability to create money. The reality is that banks first extend loans and then look for the required reserves later."
From: http://www.investopedia.com/articles/investing/022416/why-ba...
Banks are required to have certain reserves. It's true that they can already lend money while they are still looking for the required money to refill their reserve. But they will have to fill up their reserve at some point, and for that they need money, otherwise they will have to stop lending.
So it is not a fallacy that banks are lending deposits and it's not so strange that this is in the textbooks.
-From deposits. -In the interbank market, where banks with excess reserves lean to bank that need reserves. -From the Central Bank.
The Central Bank always lend the necessary reserves. A different issue is if that would be a good business for the bank.
The point is that the quantity a bank can lend it's not limited by deposits as the normal narrative imply.
Any stable demand for cash by the general public can be accommodated without any real economic costs.
(But there are real economic costs for when that demand is changing, and the central bank don't adjust properly. Interestingly, that's mostly a problem of monopolized note issue. Free banking systems with competing note issuers adapt easier to changes in demand for notes.)