Reconversion errors

If you calculate a conversion from a currency with a rounding amount of low intrinsic value to a currency with a rounding amount of high intrinsic value and then convert the result back to the original currency, a reconversion error may occur, that is the final result may slightly differ from the original input value.

Consider for instance a conversion from South Korean won to euro with a EUR/KRW rate of 1,697.74, the South Korean won rounded to 1 KRW and the euro rounded to 0.01 EUR.

The South Korean won rounding amount has a lower intrinsic value than the euro rounding amount (1 KRW ≈ 0.0006 EUR < 0.01 EUR), so if you convert a KRW amount to EUR and then back to KRW, the final amount may differ from the initial amount:

Conversely, if you calculate a conversion from a currency with a rounding amount of high intrinsic value to a currency with a rounding amount of low intrinsic value and then convert the result back to the original currency, reconversion errors never occur.

Considering this time a conversion from South Korean won to euro, we would for instance have:

Reconversion errors may occur when you calculate a conversion and then select another display: Currency Assistant in fact always considers the active display as input display and automatically calculates a new conversion when you activate another display.