A method for the production of a soft-magnetic alloy, comprising: the provision of a pre-product having a composition consisting substantially of: 5% w/w ≤ Co ≤ 25% w/w 1.0% w/w ≤ V ≤ 3.0% w/w 0% w/w ≤ Cr ≤ 3.0% w/w 0% w/w ≤ Si ≤ 3.0% w/w 0% w/w ≤ Mn ≤ 3.0% w/w 0% w/w ≤ Al ≤ 3.0% w/w 0% w/w ≤ Ta ≤ 0.5% w/w 0% w/w ≤ Ni ≤ 0.5% w/w 0% w/w ≤ Mo ≤ 0.5% w/w 0% w/w ≤ Cu ≤ 0.2% w/w 0% w/w ≤ Nb ≤ 0.25% w/w 0% w/w ≤ Ti ≤ 0.05% w/w 0% w/w ≤ Ce ≤ 0.05% w/w 0% w/w ≤ Ca ≤ 0.05% w/w 0% w/w ≤ Mg ≤ 0.05% w/w 0% w/w ≤ C ≤ 0.02% w/w 0% w/w ≤ Zr ≤ 0.1 % w/w 0% w/w ≤ O ≤ 0.025% w/w 0% w/w ≤ S ≤ 0.015% w/w and the remainder iron, where Cr+Si+AI+Mn ≤ 3.0% w/w, and up to 0.2% w/w of other impurities, the pre-product having a phase transition from a BCC-phase region to a mixed BCC/FCC region to an FCC-phase region, as the temperature increases the phase transition between the BCC-phase region and the mixed BCC/FCC region taking place at a first transition temperature T Ü1 and as the temperature increases further the transition between the mixed BCC/FCC region and the FCC-phase region taking place at a second transition temperature T Ü2, where T Ü2 > T Ü1, T 1 being above T Ü2 and T 2 being below T Ü1, in a final magnetic annealing step, the heat treatment of the pre-product at a temperature T 1 followed by cooling from T 1 to room temperature, where T 1 > T 2, 930°C ≤ T 1 < T m, 700°C ≤ T 2 ≤ 1050°C, T m is the solidus temperature, and the cooling rate is 10°C/h to 900°C/h over at least the temperature range T 1 to T 2, or in a final magnetic annealing step, the heat treatment of the pre-product at a temperature T 1 and then at a temperatureT 2, where T 1 > T 2, 930°C ≤ T 1 < T m, 700°C ≤ T 2 ≤ 1050°C, T m is the solidus temperature and the cooling rate is 10°C/h to 900°C/h over at least the temperature range T 1 to T 2, or the provision of a pre-product having a composition consisting substantially of: 5% w/w ≤ Co ≤ 25% w/w 1.0% w/w ≤ V ≤ 3.0% w/w 0% w/w ≤ Cr ≤ 3.0% w/w 0% w/w ≤ Si ≤ 3.0% w/w 0% w/w ≤ Mn ≤ 3.0% w/w 0% w/w ≤ Al ≤ 3.0% w/w 0% w/w ≤ Ta ≤ 0.5% w/w 0% w/w ≤ Ni ≤ 0.5% w/w 0% w/w ≤ Mo ≤ 0.5% w/w 0% w/w ≤ Cu ≤ 0.2% w/w 0% w/w ≤ Nb ≤ 0.25% w/w 0% w/w ≤ Ti ≤ 0.05% w/w 0% w/w ≤ Ce ≤ 0.05% w/w 0% w/w ≤ Ca ≤ 0.05% w/w 0% w/w ≤ Mg ≤ 0.05% w/w 0% w/w ≤ C ≤ 0.02% w/w 0% w/w ≤ Zr ≤ 0.1 % w/w 0% w/w ≤ O ≤ 0.025% w/w 0% w/w ≤ S ≤ 0.015% w/w and the remainder iron, where Cr+Si+AI+Mn ≤ 3.0% w/w, and up to 0.2% w/w of other impurities, the pre-product having a phase transition from a BCC-phase region to a mixed BCC/FCC region to an FCC-phase region, as the temperature increases the phase transition between the BCC-phase region and the mixed BCC/FCC region taking place at a first transition temperature T Ü1 and as the temperature increases further the transition between the mixed BCC/FCC region and the FCC-phase region taking place at a second transition temperature T Ü2, where T Ü2 > T Ü1, T 1 being above T Ü2 and T 2 being below T Ü1, in a final magnetic annealing step, the heat treatment of the pre-product at a temperature T 1 followed by cooling from T 1 to room temperature, where T 1 > T 2, 930°C ≤ T 1 < T m, 700°C ≤ T 2 ≤ 1050°C, T m is the solidus temperature, and the cooling rate is 10°C/h to 900°C/h over at least the temperature range T 1 to T 2, or in a final magnetic annealing step, the heat treatment of the pre-product at a temperature T 1 and then at a temperatureT 2, where T 1 > T 2, 930°C ≤ T 1 < T m, 700°C ≤ T 2 ≤ 1050°C, T m is the solidus temperature and the cooling rate is 10°C/h to 900°C/h over at least the temperature range T 1 to T 2, or