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A forced apology on the basis of concern for the economic loss or blow back for not making an apology. Always given with no sense of repentance, humility, remorse or genuine contrition.

The opposite of a heartfelt apology.
Rush Limbaugh's economic driven apology following calling Sandra Fluke a slut was a "wallet apology." Motivated solely by the economic loss of losing sponsors because of his comments.
by Samuel Charles April 13, 2012