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Ensuring privacy of Big Data managed on the cloud is critical to ensure consumer confidence. Cloud providers publish privacy policy documents outlining the steps they take to ensure data and consumer privacy. These documents are available as large text documents that require manual effort and time to track and manage. We have developed a semantically rich ontology to describe the privacy policy documents and built a database of several policy documents as instances of this ontology. We next extracted rules from these policy documents based on deontic logic which can be used to automate management of data privacy. In this paper we describe our ontology in detail along with the results of our analysis of privacy policies of prominent cloud services.