Essential Interest-Bearing Money

In this paper, I provide a rationale for why money should earn interest; or, what amounts to the same thing, why risk-free claims to non-interest-bearing money should trade at discount. I argue that interest-bearing money is essential when individual money balances are private information. The analysis also suggests one reason for why it is sufficient (as well as necessary) for interest to be paid only on large money balances; or equivalently, why bonds need only be issued in large denominations.