Thermoplastic molding composition F comprising: I) at least one graft rubber P-I obtained by emulsion polymerization with inorganic persalt initiation and polymerization of styrene and acrylonitrile in a styrene:acrylonitrile ratio by weight of from 95:5 to 50:50, where styrene can be replaced entirely or to some extent by alpha-methylstyrene, and where acrylonitrile can be replaced entirely or to some extent by methyl methacrylate or N-phenylmaleimide, in the presence of: at least one polybutadiene latex A with average particle diameter d 50 from 230 to 330 nm and at least one polybutadiene latex B with average particle diameter d 50 from 340 to 480 nm, where the polybutadiene latices A and B have been obtained by means of seed polymerization starting from a polybutadiene latex C with average particle diameter d 50 from 10 to 220 nm (as seed latex); II) at least one graft rubber P-II obtained by emulsion polymerization with inorganic persalt initiation and polymerization of styrene and acrylonitrile in a styrene:acrylonitrile ratio by weight of from 95:5 to 50:50, where styrene can be replaced entirely or to some extent by alpha-methylstyrene, and where acrylonitrile can be replaced entirely or to some extent by methyl methacrylate or N-phenylmaleimide, in the presence of the polybutadiene latex C with average particle diameter d 50 from 10 to 220 nm; III) at least one rubber-free copolymer matrix P-III made of styrene and acrylonitrile in a styrene:acrylonitrile ratio by weight of from 95:5 to 50:50, where styrene can be replaced entirely or to some extent by alpha-methylstyrene, IV) optionally one or more thermoplastic components T not composed of vinyl monomers; and V) optionally one or more additives D, where the process of production of the graft rubbers PI and P-II is completed via coprecipitation of a mixture of the respective emulsions comprising P-I and P-II. I) at least one graft rubber P-I obtained by emulsion polymerization with inorganic persalt initiation and polymerization of styrene and acrylonitrile in a styrene:acrylonitrile ratio by weight of from 95:5 to 50:50, where styrene can be replaced entirely or to some extent by alpha-methylstyrene, and where acrylonitrile can be replaced entirely or to some extent by methyl methacrylate or N-phenylmaleimide, in the presence of: at least one polybutadiene latex A with average particle diameter d 50 from 230 to 330 nm and at least one polybutadiene latex B with average particle diameter d 50 from 340 to 480 nm, where the polybutadiene latices A and B have been obtained by means of seed polymerization starting from a polybutadiene latex C with average particle diameter d 50 from 10 to 220 nm (as seed latex); at least one polybutadiene latex A with average particle diameter d 50 from 230 to 330 nm and at least one polybutadiene latex B with average particle diameter d 50 from 340 to 480 nm, where the polybutadiene latices A and B have been obtained by means of seed polymerization starting from a polybutadiene latex C with average particle diameter d 50 from 10 to 220 nm (as seed latex); II) at least one graft rubber P-II obtained by emulsion polymerization with inorganic persalt initiation and polymerization of styrene and acrylonitrile in a styrene:acrylonitrile ratio by weight of from 95:5 to 50:50, where styrene can be replaced entirely or to some extent by alpha-methylstyrene, and where acrylonitrile can be replaced entirely or to some extent by methyl methacrylate or N-phenylmaleimide, in the presence of the polybutadiene latex C with average particle diameter d 50 from 10 to 220 nm; III) at least one rubber-free copolymer matrix P-III made of styrene and acrylonitrile in a styrene:acrylonitrile ratio by weight of from 95:5 to 50:50, where styrene can be replaced entirely or to some extent by alpha-methylstyrene, IV) optionally one or more thermoplastic components T not composed of vinyl monomers; and V) optionally one or more additives D,