What is the ruling on purchasing in installments from a company that sells a product directly at two prices (cash and installment), with this being made clear before the purchase, knowing that a savings fund acts as an intermediary in payment to the company, meaning it sells the item without acquiring ownership of it?

It is not permissible for a savings fund to sell goods without first owning them, due to the prohibition of the Prophet (peace be upon him) against selling what one does not possess. Nor is it permissible for the fund to reclaim more than the price of the commodity if it is lending to the buyer, because every increase in a loan is forbidden usury (riba). For the transaction to be permissible, the fund must own the commodity and take lawful possession of it before selling it, and then an agreement must be reached on a specific price.