The Weimar Republic did have a central bank: The Reichsbank.
"The presses of the Reichsbank could not keep up though they ran through the night. Individual cities and states began to issue their own money. Dr. Havenstein, the president of the Reichsbank, did not get his new suit. A factory worker described payday, which was every day at 11:00 a.m.: "At 11:00 in the morning a siren sounded, and everybody gathered in the factory forecourt, where a five-ton lorry was drawn up loaded brimful with paper money. The chief cashier and his assistants climbed up on top. They read out names and just threw out bundles of notes. As soon as you had caught one you made a dash for the nearest shop and bought just anything that was going." Teachers, paid at 10:00 a.m., brought their money to the playground, where relatives took the bundles and hurried off with them. Banks closed at 11:00 a.m.; the harried clerks went on strike.
The flight from currency that had begun with the buying of diamonds, gold, country houses, and antiques now extended to minor and almost useless items -- bric-a-brac, soap, hairpins. The law-abiding country crumbled into petty thievery. Copper pipes and brass armatures weren't safe. Gasoline was siphoned from cars. People bought things they didn't need and used them to barter -- a pair of shoes for a shirt, some crockery for coffee. Berlin had a "witches' Sabbath" atmosphere. Prostitutes of both sexes roamed the streets. Cocaine was the fashionable drug. In the cabarets the newly rich and their foreign friends could dance and spend money. Other reports noted that not all the young people had a bad time. Their parents had taught them to work and save, and that was clearly wrong, so they could spend money, enjoy themselves, and flout the old."