Whisk egg yolks, vanilla and icing sugar with the whisks of the mixer at the highest setting for at least 10 minutes until creamy. Add the cream and continue beating for 7-8 minutes. Add white rum, stir again for about 3 minutes.
Pour the liqueur into bottles. Shelf life in the refrigerator approx. 3 weeks. IMPORTANT: Whip for as long as you like, otherwise the egg cream and alcohol will separate!