Hi Erwin,

Traditionally, there isn't a way to include an autoresponse confirmation email within a basic page that is set as a homepage.  There are however, two workarounds, that can be utilized to achieve the functionality requested.

1) If possible, using a page that does utilize autoresponse emails such as a signup page for your homepage. 

2) Alternatively, you can use the basic page that is setup currently and extract forms from a signup page.  This will allow you to send and even modify the confirmation email that is sent when an individual signs up through the homepage.  I've provided a tutorial below on how this can be done.

http://nationbuilder.com/theme_documentation#display_a_form_from_one_page_on_another_page