advance payment vs surety

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. 

surety

noun
  • A promise to pay a sum of money in the event that another person fails to fulfill an obligation. 

  • One who undertakes to pay money or perform other acts in the event that his principal fails therein. 

  • A substitute; a hostage. 

  • Evidence; confirmation; warrant. 

  • Certainty. 

  • That which makes sure; that which confirms; ground of confidence or security. 

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