You cannot apply RESPA's definition of an app to that of Reg C's.
Reg C:
(b) Application. (1) In general. Application means an oral or written request for a home purchase loan, a home improvement loan, or a refinancing that is made in accordance with procedures used by a financial institution for the type of credit requested.
Do you take apps my mail, what if a person mails you an app but never follows up on it, do you accept on-line apps, what if they submit one on-line but never follow up on it, etc.......
And if you are not considering these applications for HMDA purposes or Reg B purposes then I sure hope you are not collecting GMI because you have no regulatory justification to do so.
I don't argue your logic, I just don't believe you have regulatory relief not to consider these applications for HMDA purposes.
This is why the regulators need uniform definitions across the regulations.
The only exception I would make to this thinking is if it is a purchase transaction and there is no identified property. Then I would concede to a pre-qualification request which is not reportable.
I just don't see how you can say you don't have an application for a credit request simply because the applicant decided not to proceed with the request. RESPA even considers it an application request because you have to issue the GFE, you just can't collect any fees until the applicant decides they want to proceed with the request.
The intent is to say yes or no to proceeding with the application request. It is not a yes or no as to whether you have an application.
If the applicant informs you they don't want to proceed then I would say you have a withdrawal either due the fees shown on the GFE or for some other reason. If they don't respond then I stand my above answer.
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The opinions expressed are mine and they are not to be taken as legal advice.