advance payment vs advancement

advance payment

noun
  • The part of a contractually due sum that is paid or received in advance for a good, service or social security payment. 

advancement

noun
  • An advance of money or value; payment in advance. 

  • Property given, usually by a parent to a child, in advance of a future distribution. 

  • The act of advancing; promotion to a higher place or dignity 

  • The state of being advanced 

  • How advanced something is 

How often have the words advance payment and advancement occurred in a corpus of books? (source: Google Ngram Viewer )