Unfortunately, I have been unable to find an OOTB Solution other than the one below. 

Information Management Policy > Labels
To insert the SharePoint Version Number setup an Information Management Policy on the Document library that Enables Labels. You then define a Label to insert the current Version number as an image:

1. To Enable Versioning: Document Library > Settings > Versioning Settings & choose Create major and minor (draft) Versions Example: 1.0, 1.1, 1.2, 2.0
2. Create a new Information Management Policy on the Document Library, if you have multiple Content Types select the Content Type where Version Numbers have been requested (The Default Content Type for a Document Library is Document). Document Library > Settings > Information Management Policy Settings >Define Policy
3. Define a new policy, check "Enable Labels". Do NOT check to Prompt users to insert a label before saving or printing or Prevent changes to labels after they are added.
4. Label format: Insert the following (Version Number: {Version} ).
1. Note: {Version} is the field that will display the Version number.
2. Modify the "Appearance" settings as necessary.

Create a New Document

1. Open Word, Create a New Document and Save it to the Document library you just created.
2. In the Word Document, click the "insert" tab in the ribbon, then click "Quick Parts" in the "Text" button group. Under "Document Properties" click on "Label" to insert your SharePoint label as an Image.
3. Save the Document, and close.
4. Reopen the Document and you should see the label change to the actual SharePoint Version number of the Document.

I will provide a Document Template for a Default Document Library, where the Version Number has been inserted into the Footer of the Document in another post

-Ivan