But buying the properties was hard work as Sir Peter had lent the apartment to his good friend, Hobbit star Sir Ian McKellen.
Real estate agents were loath to bother the A-lister, making viewings difficult for the pop star.
"I think once you're Gandalf, you can always just stay in Peter Jackson's house," Swift told the magazine.
The two apartments sit side by side but are not joined. The smaller of the two has three bedrooms and bathrooms, while the larger one is a six-bedroom penthouse. Both feature hardwood floors and exposed wooden beams.
This latest purchase swells an extensive residential portfolio for Swift with homes in Beverly Hills, Nashville and Rhode Island.
- Staff reporter