Is it permissible to deposit a sum of money in Al Baraka Islamic Bank for a period of five years, then take a loan against the deposit, and repay the loan installments from the profits of the deposit?

There is no objection to borrowing from an Islamic bank, according to Sharia regulations. The existence of an investment deposit for the customer in the same bank does not prevent this. It is permissible to mortgage deposits, whether they are on demand or investment deposits. If the bank is the mortgagee, the funds must be transferred from the current account to an investment account to prevent the mortgagee (creditor) from benefiting from the growth of the mortgaged asset, and the account holder is entitled to its profits. It is permissible to pay the installments from the deposit's profits if they are realized.