Exchange Rate Appreciation / Depreciation Calculator
Track explicit USD/TWD quote directions and distinguish quote changes from reciprocal currency-value changes.
User inputs or hypothetical examples · Consistent units and periods · Local calculation
Results
Review or adjust your inputs, then calculate to see your results and interpretation.
Understand this calculation
When 1 USD goes from 32 TWD to 30 TWD, USD loses 6.25% against TWD and TWD gains about 6.6667% against USD.
See calculation method and assumptions
Formula
Quoted currency value change
Inverse currency value change
An exchange rate expresses one unit of a currency in another currency. Every value needs a quote direction; reciprocal quote changes have different denominators.
Variables, rates and periods
- q0
- Initial quote: counter-currency value per unit of base currency
- q1
- New quote, using the same direction as the initial quote
- c
- Value change of the selected base currency against the counter currency
- cinv
- Value change of the counter currency against the base currency
- Units
- q uses the selected units: TWD / USD is TWD per 1 USD. c uses decimals, so 0.05 displays as 5%; reciprocal changes are generally not equal and opposite.
Conversion assumptions
- Foreign-currency amounts stay fixed across periods.
- The example isolates conversion effects without spreads, fees, hedging, pricing or demand responses.
- Rates are hypothetical, not live quotes or forecasts.
Track explicit USD/TWD quote directions and distinguish quote changes from reciprocal currency-value changes.
Worked example
- Choose home currency and quote direction; enter initial 32 and new 30 TWD per USD.
- Quote change uses (30−32)/32.
- TWD’s reciprocal change uses (32−30)/30. Toggling quotes reciprocates both periods and preserves the scenario.
Frequently asked questions
Can rates be zero or negative?
No. Both rates must be positive for conversion and reciprocal values to be defined.
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