Is “banker’s rounding” really more numerically stable?

Yes! It really is more numerically stable. For the case that you’re looking at, the numbers [0.0, 0.1, …, 0.9], note that under round-ties-to-away, only four of those numbers are rounding down (0.1 through 0.4), five are rounded up, and one (0.0) is unchanged by the rounding operation, and then of course that pattern repeats … Read more

Rounding Standards – Financial Calculations

The first and most important rule: use a decimal data type, never ever binary floating-point types. When exactly rounding should be performed can be mandated by regulations, such as the conversion between the Euro and national currencies it replaced. If there are no such rules, I’d do all calculations with high precision, and round only … Read more

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