Apologies, the British Virgin Islands, not Bermuda.
"Apple has assigned partial ownership of its Irish subsidiaries to Baldwin Holdings Unlimited in the British Virgin Islands, a tax haven, according to documents filed there and in Ireland. Baldwin Holdings has no listed offices or telephone number, and its only listed director is Peter Oppenheimer, Apple’s chief financial officer, who lives and works in Cupertino. Baldwin apples are known for their hardiness while traveling."
Baldwin Holdings Unlimited appears to be a shareholder, not a subsidiary, with one share of ownership (amounting to .01%) of Apple Operations International and one share of ownership in a few other of Apple's Irish subsidiaries. Aside from holding one nominal share in each of the Irish subsidiaries, this company does not appear to be materially significant to Apple's international operations, and I can find no evidence that Apple's international profits have been transferred to this company.
From what I can tell, Apple's money remains in Ireland, where they already enjoy an extremely low tax rate, and therefore have no reason to move it out. (Of course, this is why the EU is going after them now.)
That Wikipedia article describes the general strategy of the "double Irish arrangement" as employed by many multinational corporations, but does not actually describe Apple's international corporate structure specifically, and to the extent that it mentions Apple, is actually rather misleading.
I'm just going to go ahead and state, as a matter of fact, that Apple does not have any subsidiaries in Bermuda or any other Caribbean country, and anyone who believes otherwise is mistaken. Apple's international tax structure was thoroughly documented when they were called up to testify before the Senate, which you can read about in the Senate Subcommittee Memo on Offshore Profit Shifting and Apple[1], and while they do have several Irish subsidiaries, they do not have any subsidiaries in the Caribbean or move any money into the Caribbean.
This is further reinforced in Apple's testimony before the Senate[2]:
> Apple does not move its intellectual property into offshore tax havens and use it to sell products back into the US in order to avoid US tax; it does not use revolving loans from foreign subsidiaries to fund its domestic operations; it does not hold money on a Caribbean island; and it does not have a bank account in the Cayman Islands. Apple has substantial foreign cash because it sells the majority of its products outside the US. International operations accounted for 61% of Apple’s revenue last year and two-thirds of its revenue last quarter. These foreign earnings are taxed in the jurisdiction where they are earned (“foreign, post-tax income”).