Three additional 'mistakes' to prevent when dealing with money representations:
1. The definition of a currency might change. For example, some years ago Iceland decided to change the exponent of ISK from 2 to 0. Currencies have different versions.
2. As a FinTech you probably have integrations with many third parties, they don't change their exponents for a currency at the same time. Keep track of what third parties think the correct exponent is at any point in time, and convert between your representation and their representation. Otherwise, you'll have interesting incidents (e.g. transferring 100x the intended amount of ISK).
3. At first you think that counting minor units as an integer is enough, and then you need to start accounting for fractions of cents because sales people sold something for a fee of $0.0042 per transaction. If your code rounds all these fees to $0.00 you don't make any money.