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”).
[1] http://www.hsgac.senate.gov/download/?id=CDE3652B-DA4E-4EE1-...