Worked example: pips versus points (with stated assumptions)
A pip is a standardized way to describe how much a currency price moved. A point is a smaller unit tied to the quote’s decimal precision (the smallest displayed increment on a price). Because these units can be defined differently across quote formats (for example, whether a platform uses 5-decimal or 3-decimal pricing), you must state assumptions before calculating.
Assumptions for the example
- We use a typical FX pair quoted with 5 decimals for the last digit (e.g., 1.23456).
- In this quote convention, 1 pip = 0.00010 (a move of 10 “points” in the last-digit increment).
- We assume no spreads, no slippage, and no rounding differences beyond the decimal precision shown.
- We focus only on price movement in units (pips and points), not on translating those moves into profit/loss money.
Mechanism: how the conversion works
To compare pips and points, pick one reference move.
- A point is one step of the last displayed decimal place.
- A pip is a standardized move that is commonly 0.0001 for many FX pairs, but in 5-decimal quoting that corresponds to 10 points.
Direct numerical demonstration
Suppose the price changes from 1.23456 to 1.23416.
- Compute the raw price change:
- 1.23416 − 1.23456 = −0.00040
- Magnitude of move = 0.00040
- Convert that magnitude to points (5-decimal quote):
- In a 5-decimal quote, the last digit step is 0.00001.
- 0.00040 ÷ 0.00001 = 40 points
- Convert that magnitude to pips:
- In this assumed convention, 1 pip = 0.00010.
- 0.00040 ÷ 0.00010 = 4 pips
- Cross-check the ratio:
- 4 pips × 10 points per pip = 40 points
So, under these explicit assumptions, 4 pips = 40 points.
Limitations and failure modes (what can break the example)
- Different decimal conventions. If the platform quotes with 4 decimals (or another format), the “points per pip” relationship may not be 10. Always check the instrument’s displayed precision.
- Rounding and normalization. Platforms may round entry/exit prices, quote at different times, or normalize digits for the order. That can change the computed move even if the market “looks” similar.
- Costs and realized results. The pip/point move is only part of outcomes. Spread, fees, execution quality, and how the platform converts pip moves into account currency can affect realized profit/loss.
Verification and next question to ask
To independently verify your own pip-versus-point conversion, you can:
- Take two example prices from the same symbol and the same quoting format.
- Confirm the decimal precision used for a one-point step.
- Confirm the definition your context uses for a one-pip move.
- Recalculate the unit conversion so the results are consistent (e.g., pips × points-per-pip equals points).
A good next step is to repeat the same arithmetic with a different quote format (for example, a different number of decimals) to see how the pip-to-point ratio changes, while keeping the assumptions explicit.