Inverse Exchange Rate
Flip a quoted rate to express it from the other currency’s point of view.
Formula
Variables
Example
USD/EUR 0.92 → EUR/USD = 1/0.92 = 1.087
How it works
An exchange rate quoted as A/B tells you how much of currency B you get for 1 unit of currency A. If you want the rate the other way round, B/A, you must invert the fraction because the same value is being described from the opposite viewpoint. This works because multiplying a rate by its inverse gives 1, so the two quotes are reciprocal representations of the same currency relationship.
When to use it
Use this when a rate is quoted in one direction but you need to convert prices, profits, or exchange amounts in the opposite direction. It is especially useful in trading, travel budgeting, finance homework, and checking currency pairs on forex platforms.
Worked example, step by step
Suppose 1 GBP = 1.26 CAD. We want the inverse rate, CAD/GBP. Rate_{CAD/GBP} = 1 / Rate_{GBP/CAD} Rate_{CAD/GBP} = 1 / 1.26 Rate_{CAD/GBP} = 0.793650... Rounded to 3 decimal places: 1 CAD = 0.794 GBP, or 1 GBP = 1.26 CAD and the inverse is 1 CAD = 0.794 GBP.
Common mistakes to avoid
- Dividing the wrong way round and getting the same number instead of its reciprocal
- Forgetting to swap the currency labels when reversing the quote
- Rounding too early and losing accuracy in later calculations
Did You Know?
A small rounding error in an inverse rate can create phantom arbitrage that vanishes once fees are added.
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