Such tough measures may well help push the country deeper into recession next year, but have so far staved off financial panic, runaway inflation or a currency meltdown like the one that helped catapult Putin into power in the 1990s.
Those who follow the central bank say the hawkish moves are a result of Putin, known for closely managing Russia's machinery of power, giving the bank's technocrats free rein.
"There is ongoing criticism of the central bank and of the whole government being Putin's lap dog," said a high-ranked government source. "But all things considered, the central bank is now much more autonomous than it is broadly perceived."
The high interest rates will hurt. The European Bank for Reconstruction and Development says recession is certain, predicting 0.2 percent contraction for the full year of 2015.
Politicians have grumbled. Economy Minister Alexei Ulyukayev sent a letter to the Kremlin in the summer urging greater "cooperation" between the bank and the government, viewed as a plea for looser policy.
"There is a tension between the government and the central bank as regards growth. The effect of these stabilization policies is going to be to deepen the recession," said Christopher Granville, managing director of London-based consultancy Trusted Sources.
Putin himself has complained about high borrowing costs. But so far, he seems to trust the hawkish instincts at the bank.
"What the central bank is doing is in line with what the leadership wants, in a strategic way," said Granville. "Stability is the absolute top priority, rather than avoiding negative growth at all costs."
Still, there is always a chance that Putin can change his approach. Remarks he made on Tuesday hinted as much. Speaking to Finance Minister Anton Siluanov, he called for "teamwork between the central bank and the government".
Exchange rates are an obsession for Russians since the 1990s, when hyperinflation after the fall of the Soviet Union wiped out the financial system, destroyed savings and brought the economy to its knees.
A second currency collapse and default in 1998 propelled Putin into power the following year, and a stable rouble has been one of the most prized achievements of his rule ever since.
Putin himself makes much of the central bank's independence.
"We - from the executive power level - do not meddle in the policy of the central bank," he said this month when meeting IMF head Christine Lagarde. "The central bank, in accordance with the law, conducts an independent policy. But of course we look carefully at what is happening."
In an emailed comment, the bank said its independence, "one of the fundamental principles in understanding of monetary policy", was enshrined in the constitution.
Some of Putin's critics say he keeps out of monetary policy because he feels insecure about an area outside his expertise.
"The central bank of Russia is the most independent institution in modern Russia," said Sergei Aleksashenko, a former deputy central bank governor and critic of the president.
"That originates from Mr Putin's inability to understand how monetary authorities operate. He understands the importance and influence of the central bank but is afraid to influence it in a strong manner."
GEEKS IN GLASSES
Unlike at some ministries and top companies, the bank's management does not include any of Putin's powerful old friends.
"It's just a bunch of glasses-wearing geeks; you can argue more or less competent, but geeks," said the high-ranked government source.
Putin has put his trust in the bank's governor Elvira Nabiullina, 51, at the bank's helm for 17 months after serving Putin for years as economic advisor and cabinet minister.
"She has turned out to be stronger than expected as the central bank governor," said Anders Aslund, senior fellow at the Peterson Institute for International Economics in Washington.
Nabiullina, in turn, has put monetary policy in the hands of Ksenia Yudayeva, a U.S. trained economist regarded as one of the brightest in the country.
The rouble stability of the Putin years has been underwritten by vast currency reserves earned from selling oil and gas. But when oil prices fell and sanctions were imposed over the Ukraine crisis this year, even Russia's $420 billion war chest showed its limits.
After spending $30 billion supporting the currency in a single month, Nabiullina brought forward long-awaited plans to float the rouble, abandoning efforts to keep the exchange rate within an official band.
On the morning of Nov. 10, when it was announced, even the heads of the bank's departments were taken by surprise, sources said, emphasizing Nabiullina's ability to prevent leaks.
Before she cut the rouble loose, Nabiullina sharply hiked interest rates to ensure that savers would hold rubles and prevent a panicked flight, like the one that hit in 1998.
The rouble is still some 29 percent down against the dollar, but has rallied in recent days. Earlier this week, Nabiullina stoically defended the decision to float the currency.
"It is absolutely impossible to control the exchange rate ... in the current economic conditions that the Russian economy is now in, by keeping its dependency on the price of oil," she told lawmakers in parliament.
(Addtional reporting by Alexei Anishchuk, Elena Fabrichnaya and Jason Bush, Writing by Lidia Kelly; Editing by Jason Bush, Timothy Heritage and Peter Graff)
By Lidia Kelly and Oksana Kobzeva