The present invention relates to an olefinic naphtha and a process for producing lower olefinc from this naphtha. In the process of the present invention for producing lower olefins, preferably ethylene, at least a portion of a hydrocarbon asset is converted to synthesis gas and at least a portion of the synthesis gas is converted to an olefinic naphtha by a Fischer-Tropsch process. At least a portion of the olefinic naphtha is converted in a naphtha cracker to a product stream comprising lower olefins, and at least a portion of the lower olefins from the product stream of the cracker are recovered.