What is the ruling on potential earnings from investing in stocks if opening an account requires lying about wealth exceeding $5,0?

If the investor invests his own money in permissible shares and through a legitimate investment method, then the profit is lawful for him. As for his lie about the value of his wealth during registration, it is a sin that does not render the profit unlawful; for the sin relates to violating the site's terms and to lying, while the profit results from a permissible act.