The Master Formula (Standard/Floor)
P = (High + Low + Close) / 3R1 = (2 * P) - Low | S1 = (2 * P) - HighR2 = P + (High - Low) | S2 = P - (High - Low)
Dimensional Analysis: Price Symmetry
The gap between $P$ and $R1$ is mathematically identical to the gap between $P$ and $S1$ only if the Close was exactly at the Midpoint. Usually, the "Symmetry" of pivots is skewed based on where the market closed. This skew tells you the Market Sentiment for the next day before it even begins.
Variations: The "Central Pivot Range" (CPR)
Many professional traders use a 3-line central zone instead of a single line:
- Pivot (P): $(H + L + C) / 3$
- Bottom Central (BC): $(H + L) / 2$
- Top Central (TC): $(P - BC) + P$
Shortcuts & General Rules of Thumb
- The "Rule of 2": Price rarely breaks $R2$ or $S2$ without a significant fundamental news driver. If it reaches $R2$ on a "quiet" day, it is almost always a sell.
- Opening Logic: If price opens below $P$ and then crosses above it, the bias has shifted from bearish to bullish.
- Mnemonic: "Pivots provide the path, levels provide the limit."
Edge Cases: Gaps and High Volatility
- Sunday Gaps: In Forex/Crypto, the Sunday open can create "Gapped Pivots." Most traders ignore the Sunday data and use Friday's close for more accuracy.
- Inside Days: If the previous day's range was tiny, the pivots will be very close together. These are "Danger Zones" where price will whip back and forth, hitting both S1 and R1 repeatedly.
- Wick Rejections: Sometimes price will "spike" through a pivot level to grab liquidity before reversing. Never trade the touch; trade the close of the candle at the level.