Temperature dependent dielectric spectroscopy of a newly synthesized compound N-(4-octyloxy-2-hydroxybenzylidene)-4-carbethoxyaniline, having a wide temperature range ($70 C) Smectic A (SmA) phase has been carried out in the frequency range 100 Hz-10 MHz. Dielectric permittivity and loss in the homeotropic (" 0 k and " 00 k ) and planar (" 0 ? and " 00 ? ) alignments of the molecules have been determined. Relaxation frequencies corresponding to the rotation of the molecules about their short axes have been found to lie below 1 MHz and exhibit Arrhenius behaviour. Relaxation frequencies corresponding to the rotation of the molecules about their long axes are expected to lie above 10 MHz. Dielectric anisotropy (Á" 0 ¼ " 0 k À " 0 ? ) has been found to be negative throughout the range of the SmA phase.