I'm the Head of Engineering at Monzo. We don't use floating point at all in our core banking systems, which are all written in Go by our own engineering team :)
That is typically how you handle it (in my limited understanding). If you're going to make an error, let it be in the presentation layer and not the actual math.
Warning: I don't program applications for finance. However... I'm not sure that representing things in cents works. Mostly because of exchange rates. These can have quite a bit of decimals and go beyond cent-precision.
I now wonder if that is what c# does under the hood for currency type which is a rather safe way of dealing with a limited number of decimal places for money. Hm.
Any chance you could go into detail on this regarding data types? How do you handle exchange rates & such that can be to more precision than 100ths of a $ or other currency for instance?
I don't know how it works under the hood but when I use Monzo for Euro payments the conversion is shown in cents - they probably round it and pocket the difference. But the actual rate is very good, interbank rates