This note questions two emerging viewson ways to tackle systemic risk. As evidenced by theexplosive growth of investment banks, which were regulatedmore lightly because they were assumed to be systemicallyless important, regulatory unevenness can trigger acutelydestabilizing regulatory arbitrage. Hence, unless systemicfootprints can be accurately measured and updated, somethingwe think is unlikely, regulating differentially thoseinstitutions that are deemed to be the most systemicallyrelevant looks like a perilous return to the past.Similarly, internalizing systemic liquidity risk by taxingmaturity mismatches looks like a remnant of idiosyncraticthinking. Matching short liabilities with short assets canprotect an individual intermediary's liquidity but atthe expense of exacerbating systemic vulnerability.