Büchel attended high school in Eschen from 1972 to 1975 before completing an internship in the law firm of Alfred Bühler in Vaduz.

[2] The February 1993 Liechtenstein general election resulted in a win for the Progressive Citizens' Party and Büchel was appointed as prime minister.

[3][4] Soon after taking office, Büchel was the subject of controversy over the composition of his cabinet, specifically within his own party.

[5] On 14 September 1993, the Landtag passed a motion of no confidence against him following a request by the Progressive Citizens' Party to do so.

[1] Following the October 1993 Liechtenstein general election, Büchel was succeeded by his deputy Mario Frick.