A die stock comprising a holder, which is symmetrical to a centric holder longitudinal axis, wherein the holder has a plurality of receiving grooves each of which is configured for receiving a cutting insert and a clamping wedge, each of the receiving grooves extending from a first end face of the holder in the axial direction, the first end face running transversely to the axial direction, and wherein each of the receiving grooves extends from an inner side of the holder in a radial direction, the inner side facing toward the holder longitudinal axis. The die stock further comprises a plurality of cutting inserts, wherein each cutting insert has, on a front side that faces substantially toward the holder longitudinal axis, at least one cutting edge. The die stock further comprises a plurality of clamping wedges arranged detachably in the receiving grooves.