Sharpener for sharpening a pencil, in particular a cosmetic pencil, comprising a lead and a pencil casing that encases said lead, comprising a sharpener body, into which a pencil guide channel is inserted, the pencil guide channel comprising a circular cone-shaped channel portion and leading into a pencil insertion opening on the outside of the sharpener body, and - comprising a parer which is positioned approximately tangentially to the lateral surface of the circular cone-shaped channel portion, characterised - in that the parer is used to pare a pencil tip comprising a front lead portion and a rear casing portion, and - in that a contour tool for introducing a shoulder into the pencil tip, which shoulder is recessed relative to a circular cone-shaped enveloping surface of the pencil tip, is arranged relative to the pencil guide channel such that it introduces the shoulder into the transition between the lead portion and the casing portion of the pencil tip, or - in that a contour tool is integrally formed on the parer for paring a pencil tip comprising a front lead portion and a rear casing portion, and for introducing a shoulder into the pencil tip, which shoulder is recessed relative to a circular cone-shaped enveloping surface of the pencil tip, the contour tool being arranged on the side of the pencil guide channel that faces the parer in the radial direction, such that it introduces the shoulder into the transition between the lead portion and the casing portion of the pencil tip. - comprising a parer which is positioned approximately tangentially to the lateral surface of the circular cone-shaped channel portion, characterised - in that the parer is used to pare a pencil tip comprising a front lead portion and a rear casing portion, and - in that a contour tool for introducing a shoulder into the pencil tip, which shoulder is recessed relative to a circular cone-shaped enveloping surface of the pencil tip, is arranged relative to the pencil guide channel such that it introduces the shoulder into the transition between the lead portion and the casing portion of the pencil tip, or - in that a contour tool is integrally formed on the parer for paring a pencil tip comprising a front lead portion and a rear casing portion, and for introducing a shoulder into the pencil tip, which shoulder is recessed relative to a circular cone-shaped enveloping surface of the pencil tip, the contour tool being arranged on the side of the pencil guide channel that faces the parer in the radial direction, such that it introduces the shoulder into the transition between the lead portion and the casing portion of the pencil tip. - in that the parer is used to pare a pencil tip comprising a front lead portion and a rear casing portion, and - in that a contour tool for introducing a shoulder into the pencil tip, which shoulder is recessed relative to a circular cone-shaped enveloping surface of the pencil tip, is arranged relative to the pencil guide channel such that it introduces the shoulder into the transition between the lead portion and the casing portion of the pencil tip, or - in that a contour tool is integrally formed on the parer for paring a pencil tip comprising a front lead portion and a rear casing portion, and for introducing a shoulder into the pencil tip, which shoulder is recessed relative to a circular cone-shaped enveloping surface of the pencil tip, the contour tool being arranged on the side of the pencil guide channel that faces the parer in the radial direction, such that it introduces the shoulder into the transition between the lead portion and the casing portion of the pencil tip.