What company can I order the services of developing an application for the bank. Please advise a good company. With fast enough development speed.

There are a lot of companies in the fintech industry now, and finding a quality company is not that difficult. The main thing is to read the reviews and that's it.

I need company contacts, I will be looking for a programmer or a team of programmers to help us develop such an application. The main thing is to have experience.

I can recommend you a company that specializes in developing applications in the fintech sphere. It guarantees you that the company is exactly experienced and can develop an application for you. You can apply for banking app development https://owlab.group/our-expertise/finance-banking to this company at this link. They have many development teams and will develop the app exactly the way you want. And comply with all the requirements which are described in the terms of reference.