📐

Pivot Point Calculator

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### Intraday Technical Analysis & Pivot Point Systems **Pivot Points** are price levels computed from prior period High ($H$), Low ($L$), Close ($C$), and Open ($O$) prices that serve as predictive.

Reviewed by Miss Saima · MA Mathematics
Last updated:
Editorial Guidelines

⚙ Input Values

$
$
$
$

📊 Results

Primary Pivot Point (P)
146
$
Resistance Level 1 (R1)
152
$
Support Level 1 (S1)
142
$
Resistance Level 2 (R2)
156
$
Support Level 2 (S2)
136
$
Resistance Level 3 (R3)
162
$
Support Level 3 (S3)
132
$
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📐 Formula

Formula Reference: Pivot Point Calculator
Input variables:
pivotType — Pivot Point System Model
highPrice — Previous Period High Price (H)
lowPrice — Previous Period Low Price (L)
closePrice — Previous Period Close Price (C)
openPrice — Current Period Open Price (O)
Computed outputs:
pivotPoint — Primary Pivot Point (P)
resistanceR1 — Resistance Level 1 (R1)
supportS1 — Support Level 1 (S1)
resistanceR2 — Resistance Level 2 (R2)
supportS2 — Support Level 2 (S2)
Mathematical relationships extracted from calculation logic:
range = h - l
p = (h + l + c) / 3
r1 = (2 * p) - l
s1 = (2 * p) - h
r3 = h + (2 * (p - l))
s3 = l - (2 * (h - p))
r2 = c + (range * 1.1 / 6)
s2 = c - (range * 1.1 / 6)
Standard: NIST / ISO mathematical definitions

💡 Practical Example

✅

Calculating daily pivot points for S&P 500 futures trading after a prior day High of $150.00, Low of $140.00, and Close of $148.00: Establishes a pivot point of $146.00 with R1 at $152.00 and S1 at $142.00.

📖 About Pivot Point Calculator

Intraday Technical Analysis & Pivot Point Systems

Pivot Points are price levels computed from prior period High (H), Low (L), Close (C), and Open (O) prices that serve as predictive indicators for technical support and resistance.

Core Pivot Point Formulas

  • Standard Floor Pivot: P = (H + L + C) / (3)
  • First Resistance (R_1): R_1 = (2 × P) - L
  • First Support (S_1): S_1 = (2 × P) - H
  • Second Resistance (R_2): R_2 = P + (H - L)
  • Second Support (S_2): S_2 = P - (H - L)
  • Fibonacci Pivots (R_1, R_2): R_1 = P + 0.382(H - L), R_2 = P + 0.618(H - L)

Comparison of Major Pivot Models

  • Floor Pivots: Classic floor trader formula weighting H, L, and C equally.
  • Woodie's Pivots: Places heavier weight on current period Open price.
  • Camarilla Pivots: Uses 1.1 ratio multipliers focused on tight mean-reversion intraday scalping.
  • Fibonacci Pivots: Integrates standard Golden Ratio percentages (38.2\%, 61.8\%, 100\%).

How to Use This Calculator

Enter your Pivot Point System Model — choose from Standard Floor Pivots (5-Point P, R1, S1, R2, S2), Woodie's Pivots (Weighting Open Price), Camarilla Pivots (Tight Intraday Range), Previous Period High Price (H) (e.g. 150.00 in ), Previous Period Low Price (L) (e.g. 140.00 in ), Previous Period Close Price (C) (e.g. 148.00 in ), and Current Period Open Price (O) (e.g. 147.50 in ). Results update instantly as you type — adjust any value to compare scenarios.

The Formula

Formula Reference: Pivot Point Calculator

Input variables:

pivotType — Pivot Point System Model

highPrice — Previous Period High Price (H)

lowPrice — Previous Period Low Price (L)

closePrice — Previous Period Close Price (C)

openPrice — Current Period Open Price (O)

Computed outputs:

pivotPoint — Primary Pivot Point (P)

resistanceR1 — Resistance Level 1 (R1)

supportS1 — Support Level 1 (S1)

resistanceR2 — Resistance Level 2 (R2)

supportS2 — Support Level 2 (S2)

Mathematical relationships extracted from calculation logic:

range = h - l

p = (h + l + c) / 3

r1 = (2 * p) - l

s1 = (2 * p) - h

r3 = h + (2 * (p - l))

s3 = l - (2 * (h - p))

r2 = c + (range * 1.1 / 6)

s2 = c - (range * 1.1 / 6)

Standard: NIST / ISO mathematical definitions

Worked Example

Calculating daily pivot points for S&P 500 futures trading after a prior day High of 150.00, Low of 140.00, and Close of 148.00: Establishes a pivot point of 146.00 with R1 at 152.00 and S1 at 142.

00.

Understanding Your Result

Evaluate your result in the context of your specific use case and relevant industry standards or reference values. A single calculated result is a starting point — test two to three scenarios to understand how sensitive the outcome is to your key input assumptions. For high-stakes decisions, verify your result against a secondary source or subject-matter expert before acting.

💡 Mathematical Rigor & Applied Context

  • This calculator applies exact mathematical definitions following conventions established by NIST and international standards bodies.
  • Rounding errors accumulate across multi-step calculations. For precision-critical work, maintain extra significant figures through all intermediate steps.
  • Many mathematical concepts have multiple valid formulations — if a result seems unexpected, verify which convention or definition applies to your context.
  • Dimensional analysis (unit tracking) is the fastest way to catch formula errors. Every term in an equation must have consistent, compatible units.
  • Numerical methods used in digital calculators introduce floating-point precision limits (~15 significant digits for IEEE 754 double precision).
  • For statistical and probabilistic calculations, always specify whether you are working with population parameters or sample statistics — formulas differ.
  • Visualizing a problem geometrically or testing with known boundary values (zero, infinity, negative) reveals hidden errors faster than algebraic checking.
  • When in doubt, validate your result against a simplified hand calculation or a published worked example from a textbook or standards document.

Results are for informational and educational purposes only. Always verify critical decisions with a qualified professional.

❓ Frequently Asked Questions

What is a pivot point in trading?

A pivot point is a technical indicator calculated from prior price action used to identify potential market support and resistance levels.

What is the formula for standard floor pivot points?

Pivot P = / 3, R1 = 2P - Low, S1 = 2P - High.

How do traders use R1, R2, S1, and S2 levels?

Traders buy near support levels or set stop-losses below them, and sell near resistance levels or take profit targets.

What is the difference between Floor and Woodie pivot points?

Woodie's formula incorporates the current session's open price with double weight: P = / 4.

Which timeframes work best for pivot points?

Daily pivot points are most popular for day trading stocks, forex, and crypto, while weekly and monthly pivots are used by swing traders.

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