The present invention relates to rubbery core/shell polymers that have improved heat and ultraviolet light resistance. These polymers can be blended with thermoplastics to make leathery compositions. The core/shell polymers of this invention have an inner core and an outer shell. The inner core is has repeat units which are derived from (a) butyl acrylate, (b) a member selected from the group consisting of methyl methacrylate, ethyl methacrylate, methyl acrylate, and ethyl acrylate, (c) optionally, an alkoxy ethyl acrylate or an alkoxy ethyl methacrylate, (d) acrylonitrile, (f) a cross-linking agent, and (g) a monomer containing reactive cure sites The outer core has repeat units which are derived from (d) acrylonitrile, (e) styrene, and (f) additional cross-linking agent. The outer core of these polymers is void of repeat units that are derived from methyl methacrylate.