Final answer:
The false statement about contingent consideration in business combinations is that contingent consideration payable in stock shares is recorded under stockholders' equity; instead, it's initially recorded at fair value as a liability or asset.
Step-by-step explanation:
The false statement regarding contingent consideration in business combinations is: B) contingent consideration payable in stock shares is recorded under stockholders' equity. This is incorrect because the contingent consideration, whether it's payable in cash or stock, is initially recorded as part of the consideration transferred in a business combination and thus measured at its fair value and recognized as part of the acquisition. This means it's typically recorded as a liability or an asset on the acquirer's balance sheet, depending on the nature of the contingency. It is not recorded under stockholders' equity unless it is settled, at which point, if it is in stock, it would affect equity.
Contingent consideration is recognized because there is a substantial probability of future payment (C), it is a part of the acquisition's fair value (D), and is reflected on the balance sheet at the present value of potential expected payment (E'). Options A and C through E are generally true statements, making B the false option.