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I’m trying to determine the impact of fuel excise cuts on the retail price of petrol.

To do this I need to model the price of fuel if the intervention never occurred.

To do this I would need to “predict” the fuel price based on a time series but also predictors such as international prices and exchange rates.

Once I predict the price based on historical prices and these other variables, I can then plot it against the actual price to measure the impact of the tax cut.

I’ve done a bunch of research into VAR, ARIMA and other models but I can’t find anything that does quite what I want.

Any help is much appreciated!