Direct answer
Pip value is the monetary value of a one-pip price move for a specific trade size. A Currency Converter typically calculates it by (1) determining the pip size for the instrument, (2) using the lot size to convert that pip size into a quantity of “quote currency per pip,” and then (3) converting into your account currency if needed.
Mechanics: definitions and the core formulas
A pip is a standardized price increment used for exchange rates in FX quoting. In many major pairs, a “standard pip” is 0.0001 (one ten-thousandth of the exchange rate). For pairs quoted with fewer decimals (often involving JPY), a pip may be 0.01. Because this varies by instrument and by how the provider defines “pip,” you must start with the pip size used by the calculator.
Let the exchange rate be written in base/quote form:
- Base currency (B): the first currency in the pair (e.g., EUR)
- Quote currency (Q): the second currency in the pair (e.g., USD)
- Exchange rate: R = Q per 1 B
Let:
- p = pip size in price units (e.g., 0.0001 or 0.01)
- L = position size in base currency units (e.g., 1 lot commonly corresponds to a fixed base amount, but the exact lot definition must match the calculator)
Step 1: pip value in quote currency
A one-pip move changes the exchange rate from R to R ± p, so the change in value of the position is proportional to the position size. A common way to express the result is:
- Pip value (in quote currency) = (L × p) / (pip divisor)
In many FX conventions where p already equals the increment used for a “pip,” the pip divisor is effectively 1, and the formula becomes simply:
- Pip value (in quote currency) = L × p
However, some calculators implement pip size indirectly (for example, using a fixed decimal convention). That is why the most reliable approach is: use the calculator’s own pip size definition (the p it assumes) and then apply the corresponding arithmetic.
Step 2: convert into the account currency
If the quote currency of the pip value equals your account currency, no conversion is needed:
- Pip value (account currency) = Pip value (quote currency)
If your account currency differs, convert the quote-currency pip value using an exchange rate consistent with the same “per 1 unit” convention:
- If you have an exchange rate where 1 unit of quote currency equals Rₐ units of account currency, then:
- Pip value (account currency) = Pip value (quote currency) × Rₐ
If only the inverse rate is available, invert it before converting:
- Rₐ = 1 / Rₐ⁻¹
The key requirement is consistency: the direction of the rate (what is “per 1” of which currency) must match the multiplication you do.
Evidence or example: show the arithmetic with stated assumptions
Assume a pair is quoted such that:
- Pip size p = 0.0001
- Position size corresponds to L = 100,000 base units (this is a typical “standard lot” definition, but the calculator’s lot definition must match your assumptions)
Then one pip in price terms is p. Using the simplified approach where pip value in quote currency is proportional to L × p:
- Pip value (quote) = 100,000 × 0.0001 = 10 (in quote currency units)
Now assume your account currency is the same as the quote currency. Then pip value in account currency is also 10.
If instead your account currency is different, you need a conversion rate consistent with the needed direction. For example, if you determine that 1 unit of quote currency equals 0.90 units of account currency, then:
- Pip value (account currency) = 10 × 0.90 = 9
This example illustrates the structure: pip size determines the “price increment,” lot size scales it to a monetary amount, and a currency conversion step handles account currency differences.
Limitations and failure modes to consider
- Wrong pip size convention: If you use 0. 0001 while the instrument defines a pip differently (or uses different decimals), pip value will be off by a factor. 2. Lot size mismatch: Calculators may define “lot” sizes differently or may allow other volume inputs. If L does not match the calculator’s interpretation, the result changes. 3.