Golay complementary sequences are a good solution to reduce the high peak-to-average power ratio (PAPR) of multicarrier communication systems. In this paper, we present a simple but novel technique to develop theoretical PAPR bounds of downlink MC-CDMA system using Golay complementary sequences for spreading and coding. The developed PAPR bounds are independent of the spreading factor in uncoded MC-CDMA. Furthermore, they have no dependency on the number of spreading processes as well as the spreading factor in coded MC-CDMA. Simulation results demonstrate that the theoretical bounds are well followed by 99.9% PAPRs which are also independent of spreading factors (for uncoded and coded cases), and the number of spreading processes (for coded case only). Practically, the independency gives us a useful insight for peak power control in MC-CDMA employing Golay complementary sequences.