The particle-hole spectra of light nuclei are examined in the self-consistent random phase approximation based on fully relativistic Hartree and Hartree-Fock models for the nuclear ground state. The particle-hole interaction is completely prescribed by the ground-state calculation. It includes \ensuremath{\sigma}, \ensuremath{\omega}, \ensuremath{\rho}, and \ensuremath{\pi} meson exchanges, with \ensuremath{\sigma} and \ensuremath{\omega} parameters adjusted to fit the bulk properties of nuclear matter. Differences between Hartree (no exchange) and Hartree-Fock (with exchange) predictions for the spectra are discussed.