An interarticular ligament prosthesis is formed from a plurality of high strength high modulus polymeric fibers. The fibers are independent and free from intrinsic inter-fiber shear coupling found in braided or bonded fibers. The ligament prosthesis is installed with tubular, bone screw anchors. The fibers of the ligament prosthesis pass through the central hole of the anchors and are knotted at one end. The exit holes of the anchors include ceramic eyelets with polished edges. The edges are rounded to a defined radius for desired fatigue life of the prosthesis.