I run a Commercial Real Estate Servicing platform, where we are accruing interest on large balances daily. Our method is to not do the rounding daily, but add up all the numbers for a given period, say a month, and then round to the penny and create a single adjustment rounding transaction along with it. Accounting departments love us for it.
If we rounded daily before storing the amount, the adjustment for accounting is usually a few pennies at least every month they have to make. Our method, it's roughly $0.01 per year with monthly periods, adjusted usually at the very end. Which on a $20MM loan, is very well within the bounds of acceptable.