Suggestions for Document Tracking System

I have just installed sharepoint server 2013 and I wish to build a document tracking system that can do the following:

1.  Keep track of memos and approvals emanating from the office of the CEO

2.  It begins with a memo from a staff member to his Unit Head

3.  The Unit Head approves and sends it to the CEO

4.  The CEO approves and sends it Human Resources or Accounts.

5.  From HR/Accounts it goes back to the Head of Unit

6.  All approved memos or documents will be stored in a library for perusal by those with permissions to do so

Is there a template for doing all these in sharepoint 2013? I would deeply appreciate some suggestions on how to proceed with this assignment.

Many thanks!