A central bank is insolvent if its plans imply a Ponzi scheme on reserves so the price level becomes infinity. If the central bank enjoys fiscal support, in the form of a dividend rule that pays out net income every period, including when it is negative, it can never become insolvent...

A central bank is insolvent if its plans imply a Ponzi scheme on reserves so the price level becomes infinity. If the central bank enjoys fiscal support, in the form of a dividend rule that pays out net income every period, including when it is negative, it can never become insolvent...

Fractional reserve regimes generate fragile banking, and full reserve regimes (e.g., narrow banking) remove fragility at the cost of suppressing the role of banks as lenders. A Central Bank Digital Currency (CBDC) could provide safe money, but at the cost of potentially disrupting bank lending....