Yūki was born in the onsen resort of Akayu in what is now part of Nan'yō, Yamagata Prefecture, where his father was a sake brewer. After graduating from Tokyo Imperial University with a degree in political science, he obtained a position at the Bank of Japan from January 1904. Yūki was promoted rapidly, serving as auditor in the bank's New York City branch, branch manager in Kyoto, Corporate Secretary, and branch manager in Osaka. In 1918, at the recommendation of Junnosuke Inoue, Yūki was appointed to the Board of Directors, while still maintaining his post as Osaka branch manager. However, following the assassination of Yasuda Zenjirō, Yūki left the Bank of Japan to join the Board of Directors for the Yasuda zaibatsu in November 1921, and was appointed Managing Director of Yasuda Bank the same year. As head of Yasuda Bank, Yūki was a member of a committee which drafted "Definite Policies for the Improvement of the Ordinary Banking System in Our Country'' in 1926. The report identified a range of significant issues: The need to address the problems identified in this proposal generally acknowledged. The report was the genesis of a process which led to the Bank Act of 1927. In March 1929, Yūki left for a tour of Europe. On his return, he established a committee to find was for the Yasuda zaibatsu to weather the Great Depression. From September 1930, Yūki was head of the Industrial Bank of Japan. Yūki was subsequently elected head of the Japan Chamber of Commerce and Industry in January 1937. In February 1937, he was appointed Minister of Finance in the Hayashi administration, serving to June 1937. The concurrently also held the portfolio of Minister of Colonial Affairs for the same period. From May 1937, Yūki was also appointed to a seat in the Upper House of the Diet of Japan. During the 1st Konoe administration, July 27, 1937 on Yūki returned to the Bank of Japan as governor, replacing Shigeaki Ikeda. He held the post until March 18, 1944. During Yūki's tenure, the bank was reorganized in 1942. However, Yūki was removed from his office by the Finance Minister with the support of the Tōjō cabinet in 1944. Yuki had opposed giving the Munitions Minister the authority to approve loans to munitions companies without consultation with the bank, and Tōjō was both Prime Minister and Munitions Minister at the time Following World War II, Yūki retired from public life, and moved to Mie Prefecture, where he became the chief kannushi of the Yuki Jinja Shinto shrine. He died in 1951, and his grave is at the Aoyama Cemetery in Tokyo. In 1995, the town of Akayu opened a memorial museum in his honor.
