Direct answer
A worked example of EUR USD vs GBP USD is a numerical scenario that shows how the same US-dollar baseline converts two different base currencies (EUR and GBP) into USD. You can verify the arithmetic independently by starting from explicitly assumed exchange rates and then calculating the implied USD values and ratios.
In this example, EUR/USD means “USD per 1 EUR,” and GBP/USD means “USD per 1 GBP.” The comparison answers questions like: “Which currency is stronger versus USD under these assumed rates?” and “What is the EUR-to-GBP relationship implied by those two pair rates?”
How the comparison works (mechanics and definitions)
Two currency pairs are used:
- EUR USD (EUR/USD): exchange rate for converting 1 euro to US dollars. If EUR/USD is 1.10, then 1 EUR = 1.10 USD.
- GBP USD (GBP/USD): exchange rate for converting 1 British pound to US dollars. If GBP/USD is 1.30, then 1 GBP = 1.30 USD.
A worked example usually involves a small set of assumptions:
- Pick assumed EUR/USD and GBP/USD rates.
- Convert an assumed amount of euros and pounds into USD.
- Optionally, derive the implied EUR/GBP relationship (how many pounds per euro) using the two USD-based rates.
What stays the same in the example is the math: each conversion uses the assumed rate; comparisons use the resulting USD values or the implied ratio. What can differ in real life is everything variable: actual market prices, spreads, execution quality, taxes, and the specific rules of a provider or venue.
Worked numerical example (all assumptions stated)
Assumptions for this scenario (not live data):
- Assumed EUR/USD = 1.10 (USD per 1 EUR)
- Assumed GBP/USD = 1.30 (USD per 1 GBP)
- Assume no trading costs and instant execution at exactly the assumed rates (this is a simplification)
Step 1: Convert equal amounts into USD
- If you convert 1 EUR: 1 EUR × 1.10 = 1.10 USD
- If you convert 1 GBP: 1 GBP × 1.30 = 1.30 USD
Under these assumed rates, 1 GBP is worth more USD than 1 EUR, because 1.30 USD > 1.10 USD.
Step 2: Compute the implied EUR-to-GBP relationship
Using USD as the common reference, you can compute how many GBP are equivalent to 1 EUR.
- We know 1 EUR = 1.10 USD.
- We also know 1 GBP = 1.30 USD.
- Therefore, 1 EUR in GBP = 1.10 / 1.30 GBP = 0.846153… GBP.
So, under these assumptions, 1 EUR ≈ 0.846 GBP (rounded).
Step 3: Compare movement direction using only rate changes
If both pairs move, the direction of the comparison depends on relative changes. For example, if EUR/USD rises while GBP/USD stays constant, EUR strengthens versus USD; if GBP/USD rises faster than EUR/USD, GBP strengthens more versus USD than EUR does.
Material limitations and risks (what can break the example)
- Costs and spreads: The arithmetic above ignores bid/ask spreads and fees. With real spreads, the effective conversion rate you receive can differ from your assumed midpoint.
- Execution and slippage: “Instant at the assumed rate” is not guaranteed. During volatility, you may get a different price than the one you modeled.
- Jurisdiction and contract rules: Tax treatment and provider-specific execution rules can affect realized amounts even if the underlying rate is understood.
- Historical relationships are not predictive: Even if EUR/USD and GBP/USD have correlated movements in the past, that relationship does not establish future results.
A failure mode to watch for when building worked examples is mixing definitions (for example, confusing USD/EUR with EUR/USD). Because each pair is defined as “quote currency per unit of base currency,” reversing them changes the math.
Verification and next question
To verify your own worked example, do these checks:
- Confirm the pair conventions: EUR/USD is “USD per 1 EUR,” and GBP/USD is “USD per 1 GBP.”
- Recompute each conversion using the exact assumed rates.
- If deriving an implied cross rate (EUR/GBP), ensure the division uses the same USD reference consistently.