> Granularity of your financial amounts should ...
... comply with relevant regulations.
I worked on a gambling webapp a long time back - we were bound by government regulations on gambling licences to perform all calculations at a precision of one ten thousandth of a cent, and were only permitted to round to cents once at the very end just before displaying a dollar amount to a person.
(This suited me down to the ground because I pointed out to everybody that Javascript couldn't be guaranteed to treat numbers and calculations in a way that would keep the regulators auditors happy, and managed to push _every_ calculation involving dollar amounts off to the Java backend team.)
We also used integer UTC milliseconds for time, so we'd have good enough for the auditors timestamps showing who placed a valid bet at (say) 12:34:59.9997 and who else place an invalid bet at 12:35:00.0003 for a wager with a cut off time of 12:35. (We asked for and got a ruling from the regulators that the time that mattered was the time the API call was processed by the backend, since network latencies between the webapp and the backend platform were impossible to predict. I have no idea if the backend had millisecond accurate time, that wasn't my problem and I _so_ didn't want to have them make it my problem by asking the question.)