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We report results of interband spectroscopy of a single Al 0.36 In 0.64 A s/A l 0.33 Ga 0.67 As self-assembled quantum dot. The single dot spectroscopy has been carried out at low temperature as a function of the excitation power and magnetic field up to 8 T. The emission spectra as a function of excitation power show two distinct groups of transitions that we associate with the recombination from ground and excited quantum dot levels with a spacing of∼ 70 meV. The application of magnetic field allows us to identify the exciton emission as well as the emission from the biexciton, and charged exciton complexes with binding energies of∼ 5 meV. The binding energies compare favorably with results of calculations.