The invention relates to a pneumatic vehicle tire (1) for a motorcar, comprising a profiled tread (7) and two tire sidewalls (11), respective bead wires (2) for fastening the pneumatic vehicle tire (1) on a wheel rim, a carcass (3) which extends from a bead wire (2) of the tire sidewall (11), the axial zone of extension of the tire tread and the other tire sidewall (11) to the other bead wire (2) and which extends with a wrap part (9) on the other axial side of the bead wire (2) towards radially outwards. A rubber layer (20) is configured between the carcass (3) and the bead wire (2), extends in the peripheral direction of the pneumatic vehicle tire across the entire circumference of the pneumatic vehicle tire and extends from radially inside the wire bead (2) with its two axial zones of extension (21, 22) in direct contact with the bead wire (2) towards radially outwards so that the rubber layer (20) completely encloses the bead wire (2). The two zones of extension (21, 22) extend radially outwards from the position of mutual contact radially outside the bead wire (2) in direct contact with each other, and the first zone of extension (22) ends in a first radial position and the second (21) in a second position which is different from the first radial position.