Removing seasonality under a changing regime: Filtering new car sales

The use of filters for the seasonal adjustment of data generated by the U.K. new car market is considered. U.K. new car registrations display very strong seasonality brought about by the system of identifiers in the U.K. registration plate, which has mutated in response to an increase in the frequency with which the identifier changes, while it also displays low frequency volatility that reflects U.K. macroeconomic conditions. Given the periodogram of the data, it is argued that an effective seasonal adjustment can be performed using a Butterworth lowpass filter. The results of this are compared with those based on adjustment using X-12 ARIMA and model-based methods.