All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad is His slave and Messenger. We ask Allaah to exalt his mention as well as that of his family and all his companions.
If this company buys the house on its name and then sells it back to you with the facility of paying by installments, then there is no harm on this. This kind of trading is known nowadays by the Arabic Islamic term 'Muraabaha', meaning purchasing any goods and selling them to a third party with a profit. However, if the company does not principally buy the house but gives you its price or pays the price to the landlord instead of you and considers this as a loan and then calculates thereof forbidden interests, then it is not permissible for you to buy this house with this method. You may directly contact the company itself in order to find out the facts about the nature of the transaction.
Allaah Knows best.