The Affirm website home screen is displayed on a laptop in an arranged photograph taken in Little Falls, New Jersey, on Dec. 9, 2020.

"Buy now, pay later" stocks slipped Thursday after the Consumer Financial Protection Bureau released a report that said it's seeking more oversight of those companies.

Shares of PayPal and Affirm Holdings fell 1.3% and 1.4%, respectively. Block's stock rose 0.9% after slipping earlier in the session.