Direct answer
A worked example of yield differences shows, with numbers, how interest-related components can differ between two currency exposures. “Yield differences” in practice refers to the gap between the implied or expected interest return of one currency position versus another over the same holding period, assuming identical conditions except for the currency rates.
Because “expected” returns depend on inputs (like rates, timing, and costs), a good worked example must state every assumption and isolate the mechanics from real-world uncertainty.
Mechanism and definition (what you calculate)
Consider a simple two-currency comparison where you want the interest-related difference over a holding period. A typical high-level approach is:
- Choose two interest-rate inputs that represent the expected interest on each currency over the same horizon.
- Convert those into a comparable “interest amount” for the same notional principal and the same holding period.
- Compute the difference between the two interest amounts (or between their corresponding yields).
Key terms (plain language):
- Notional principal: the reference amount you assume you are earning interest on.
- Holding period: the time you keep the positions.
- Interest-related return: the part of return driven by the interest rate assumptions, excluding (or separately accounting for) currency price movement.
- Costs: items that reduce net results, such as financing and transaction-related expenses (the exact treatment varies by provider and execution).
Evidence or worked example (with explicit assumptions)
Assume you compare two currency exposures over 30 days using a 1,000,000 unit principal in the “base” currency for illustration.
Assumptions (state them up front)
- Holding period: 30 days.
- Day-count convention: 30/360 (so 30 days corresponds to 30/360 = 0.08333 years).
- Principal: 1,000,000.
- Expected annual interest inputs (illustrative):
- Currency A: 4.00% annual.
- Currency B: 6.00% annual.
- No currency-price move is included in this example; we isolate only the interest-related component.
- Costs and fees are assumed to be zero for the numerical demonstration (this is only to make the arithmetic transparent).
Step-by-step calculation
- Convert the annual rates to the period’s simple interest.
- Interest A over 30 days:
- 1,000,000 × 0.0400 × 0.08333 = 3,333.33
- Interest B over 30 days:
- 1,000,000 × 0.0600 × 0.08333 = 5,000.00
- Compute the yield difference in interest amount terms.
- Yield difference = Interest B − Interest A
- 5,000.00 − 3,333.33 = 1,666.67
Interpret the result
In this simplified scenario, the interest-related component of Currency B is 1,666.67 higher than Currency A over the 30-day period, given the stated assumptions.
Material limitation revealed by the assumptions
The example intentionally sets currency-price movement and costs to zero. In real conditions, currency valuation changes and net financing/cost mechanics can alter the realized difference substantially. The worked arithmetic shows how the interest gap contributes, not that it will dominate overall outcomes.
Limitations and risks (what can fail)
- Assumptions about rates and timing: Yield differences depend on the horizon and the exact interpretation of the interest inputs. Changing day-count, tenors, or the way implied expectations are derived can change the computed difference.
- Net return is not only interest: Currency price changes can add or subtract from the interest-related effect. Even if the interest gap exists, total return may not track it.
- Costs and execution: Real net results can differ from a clean arithmetic model due to spreads, financing charges, commissions, and execution quality.
- Provider and jurisdiction differences: How financing and costs are calculated and presented can vary across entities, making “the same” concept produce different net outcomes.
A failure mode to watch for: using a worked example’s simplified assumptions (no costs, fixed rates, no price move) and then treating the computed yield difference as a reliable forecast of realized results. That leap is not justified.
Verification and next question
You can independently verify the worked example if you replicate the same inputs and steps:
- Use the same principal (1,000,000), the same holding period (30 days), the same day-count basis (30/360), and the same interest-rate inputs (4% and 6%).
- Recalculate period interest for each currency and subtract.