The annular compound parabolic concentrator (CPC) is a body of revolution consisting of two axisymmetric surfaces produced by rotating a classical two-dimensional CPC around an axis parallel to the CPCs axis. Its ability to further concentrate incoming radiation when used in tandem with a primary solar parabolic concentrator is analyzed by the Monte Carlo ray-tracing technique. Potential applications are found in capturing the annular portion of primary concentrated solar radiation and augmenting its power flux intensity.