Yuriy is right that banks should not ask, but that raises a different set of problems.
You need to show that the extra time has been used well, in terms of you progressing and showing that you realised your potential.
The legal issues mean that they don't ask, which means it is up to you to say these things.
But remember that a lot of people enter this line of work after PhD, so you won't look that old at all.
In the P&D Guide we go on about "older candidates" because we observe that many good people make an imperfect assessment of their chances.
Although of course P&D obeys all laws everywhere, we don't actually care about the anti-ageism legislation, and try to counsel people in the light of reality, rather than political correctness.
Forewarned is forearmed.
An attribute of getting older is that you become clearer in what you want, and that is both good and bad. It's good that you don't waste time on pointless crap you find you don't want anyway.
But it can come across as inflexibility, and some managers will be alert to this, and some will be actively trying to detect it.
It is important to speak well of your current line of work, even though obviously you would like to leave it.
One may feel sorry for refugees, or donate money to helping them, but you don't hire people out of pity.
You need to show that your change in direction is the result of a positive desire to do banking. Yes of course money is an honourable motivation, but it is shallow.
The ideal in this is to show where the enjoyable bits of your job are similar to the work in banking.
Shows that you've thought this through and that you will settle in well.
You won't get as much "respect" as you might have earned in your previous role. Some people come to me with respectable management experience, the hard news is that this is not going to be used any time soon. You may have bossed around a dozen people, but there's a 25% chance your first task is menial Excel VBA.
I believe it is worth adopting a rather "British" self deprecation here (think Hugh Grant).
Something like "I see my management experience as something for the longer term, since obviously I'm starting at entry level and will need to prove myself".
That delivers several good messages all at once.
First you mention the management, which is good but accept you won't be doing any, which is better. No one wants to hire you if they think you will be unhappy in the job.
You are thinking long term, nice, and you want to work up, which warms any managers heart (except at PWC).
