You get your foot in the door by taking an entry level job. "This is it!" you think. This is a large enough company to provide opportunity if you do a good job. You needed this break and you aren't going to blow it. You put in the hours and the effort to move up. You excel in your job. After a couple of years, you begin exploring your options in the organization and you can't believe how many people are in the organization just waiting to give you a chance. You know that you can count on your company to do everything they can to develop you because you are doing everything you can for the company....
Unfortunately, the above is a fantasy. The reality is that you will take this job and work hard for two years but when you look for the next step, the bank will hire outside talent to do the jobs that you keep applying and interviewing for. You will talk to managers and ask for a chance, and they will tell you that loyalty is rewarded, but then tell you that the hiring decision was a difficult one and they had to take the person from outside the company with more experience. You will say - "what about the fact that I've proven myself to this company over and over." They will thank you for your service and recite platitudes that patience and hard work is rewarded. All the while you watch a select chosen few who entered the company directly out of college move up the corporate ranks.
This is not a company that cares about developing you as an employee. This is a company focused on feeding the corporate culture of egotism by constantly trying to attract talent that looks better on paper at the expense of developing current employees. If you want to work for a company that cares about you now AND five years from now - I strongly advise you to keep looking.