Tyler Cowen and Scott Sumner discuss the idea of abolishing central bank-issued cash. The existence of cash can create problems for monetary policy. Say a central bank wants to reduce the rate it pays on central bank deposits to below zero. If it did so, everyone would immediately convert deposits into cash, since owning 0% yielding paper notes is better than owning an instrument that pays a penalty rate. There appears to be a zero-lower bound to the interest rate on deposits. Ban cash and you might remove that bound.
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This imposes a real burden on people because it is more expensive to hold $5s than it is $100s. Banks keep their cash in vaults, but these vaults have been designed to store thousands of $100s, not hundreds of thousands of $5s. Given this inconvenience, deposit holders will be less willing to flee -2% interest rates by moving to cash. Gone is the zero-lower bound problem.
I pointed out here that one problem with this policy is that the entire cash-using sector, particular criminals, might Euroize. Rather than hold, say, thirty US$5 bills, or US$150 in -2% deposits people might choose to hold one €100 bill. This decline in the dollar's "brand" would in turn hurt seignorage earned by the Fed.
Updates: Bill Woolsey has an excellent post on this debate. Other things that can be done to avoid the zero-lower bound apart from taxing or banning cash include ceasing redemptions of deposits for cash. Banks can threaten holders of cash to deposit it now or deposit it later at a discount. Bill also notes that if the quality of bank notes is reduced by making them junior claims on bank assets, then senior claims like deposits can easily yield negative amounts without causing a rush to cash.
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