A small-bore projectile comprises a ductile outer jacket, a hard core, and a hollow jacket core. Kinetic energy of the projectile is substantially transmitted to the hard core when a target is hit such that said hard core penetrates the target. The outer jacket is supported by the jacket core that is located on the inside and mushrooms up into a deformed state upon impact without fragmenting. The projectile has good flying behavior and great final ballistic performance and can be produced in an entirely lead-free manner.