Is it permissible to continue working at an exchange company whose operations involve usury and the falsification of official data?

Your work, which involves falsifying data sent to the Central Bank and dealing with accounts related to usurious interest, is not permissible. This is based on the general Hadith (definition) that curses the scribe of usury, which includes everyone connected to it, such as the accountant and the document transcriber. Therefore, you must leave this work and seek permissible employment. "And whoever fears Allah – He will make for him a way out and will provide for him from where he does not expect."