What do you do when the Pope tweets about rising unemployment in Europe, but the trillions of euros you have pumped into the financial system fail to get the economy going again?
That was the question CNBC's Geoff Cutmore posed to European Central Bank President Mario Draghi at the end of Thursday's press conference.
Only hours before, the Pope wrote on his official Twitter account: "My thoughts turn to all who are unemployed, often as a result of a self-centered mindset bent on profit at any cost."
(Read more: ECB's Draghi: Easy monetary stance as long as needed)
Draghi, usually quite circumspect in his answers, wondered for a second if he should speak his mind, before confessing:
"We are ... frustrated, yes certainly. We view improvements in the financial markets. We think financial markets are the only and the necessary channel through which monetary policy is transmitted."
For months, the ECB has been hoping its ultra-easy money policy would translate into an improvement for the economy. Draghi said the central bank had been closely "trying to examine reality, to see whether these impulses we transmitted to the economy get translated into better welfare, lower unemployment, better economic activity."
(Read More: ECB rate cut could be too little, too late)
But the ECB's latest loan survey showed lending to nonfinancial firms continued to contract in March, by more than one percent on an annual basis.
Still, Draghi said the ECB was not ready to put more risk on its balance sheet by lending directly to the economy.
"You don't go around with helicopter money, throwing money," he said. "In Europe you go through banks, you don't have capital markets as you have in the U.S., and so we have to go via the banking system."
(Read More: ECB under political pressure to do more)
The Pope's remarks on Twitter notwithstanding, Draghi's comments were all about the limitations of central bank action.
"Many of the problems that we see today in competitiveness in the labor market, in the tax area, don't have anything to do with monetary policy, neither can they be fixed with monetary policy," he said.
What can solve this then, given the lack of political willpower after a five-year debt crisis? Divine intervention perhaps?
—By CNBC's Deep Bagchee; follow him on twitter: