Pivot Point Calculator
Quickly compute pivot point with accurate formulas. See amortization schedules, growth projections, and side-by-side comparisons.
Calculator
Adjust values & calculateStandard Pivot Points
Fibonacci Pivots
Camarilla Pivots
Formula
The standard pivot point (PP) is the average of the previous period's high, low, and close. Support and resistance levels are derived from this central value. R1 and S1 are first-level support/resistance, R2/S2 are second-level, and R3/S3 are third-level. Fibonacci pivots multiply the range by Fibonacci ratios. Camarilla pivots use a different formula that generates levels closer to the close price.
Last reviewed: December 2025
Worked Examples
Example 1: EUR/USD Daily Pivot Calculation
Example 2: GBP/USD Pivot with Fibonacci
Background & Theory
The Pivot Point Calculator applies the following established principles and formulas. Foreign exchange markets facilitate the conversion of one currency into another and serve as the largest and most liquid financial markets in the world, with daily turnover exceeding seven trillion US dollars. Exchange rates are quoted as currency pairs, expressing the price of one unit of a base currency in terms of a quote currency. For example, a EUR/USD rate of 1.0850 means one euro buys 1.0850 US dollars. The smallest standardized price movement in most pairs is the pip, typically the fourth decimal place, with a value of 0.0001 per unit for USD-denominated pairs. The bid price is the rate at which a dealer will buy the base currency, while the ask price is the rate at which it will sell. The spread between bid and ask represents the dealer's compensation and varies with liquidity and volatility. Leverage amplifies both gains and losses by allowing traders to control positions larger than their deposited margin. A 100:1 leverage ratio means a one-percent adverse move eliminates the entire margin, making position sizing and risk management critical. Two parity conditions from international economics anchor exchange rate theory. Purchasing Power Parity (PPP) holds that exchange rates should adjust over time so that identical goods trade at equivalent prices across countries: S = P_d / P_f, where S is the spot rate and P_d and P_f are domestic and foreign price levels. PPP performs well over long horizons but poorly in the short run due to trade barriers, non-tradable goods, and capital flows. Covered Interest Rate Parity (CIRP) is a near-arbitrage condition stating that forward exchange rate premiums or discounts exactly offset interest rate differentials between two currencies: F/S = (1 + r_d) / (1 + r_f). Deviations from CIRP create riskless arbitrage opportunities that traders rapidly eliminate. Uncovered Interest Rate Parity posits that high-yielding currencies should depreciate to offset their interest advantage, though empirical evidence is mixed and the carry trade — borrowing in low-rate currencies to invest in high-rate ones — has generated persistent returns.
History
The history behind the Pivot Point Calculator traces back through the following developments. For much of the nineteenth century and early twentieth century, the international monetary system operated under the classical gold standard, under which each participating currency was fixed to a defined weight of gold, making bilateral exchange rates effectively constant. The system provided price stability and facilitated global trade but constrained governments' ability to respond to economic downturns. World War One shattered the gold standard as nations suspended convertibility to finance wartime expenditures. The interwar period saw attempts to restore gold convertibility, most notably the British return to the gold standard in 1925 at the pre-war parity, a decision criticized by John Maynard Keynes as deflationary. The Great Depression forced widespread currency devaluations and the effective collapse of the international gold standard by the early 1930s. The Bretton Woods Conference of July 1944 established a new order in which member currencies were pegged to the US dollar, while the dollar alone was convertible into gold at 35 dollars per troy ounce. The International Monetary Fund and World Bank were created at the same conference to oversee the system. Bretton Woods delivered exchange rate stability during the postwar growth era but came under strain as US deficits and European dollar accumulation outpaced American gold reserves. On August 15, 1971, President Nixon announced the suspension of dollar-gold convertibility — the so-called Nixon Shock — effectively ending the Bretton Woods system. By 1973, major currencies had transitioned to floating exchange rates determined by market supply and demand, a regime that has persisted. On September 16, 1992, hedge fund manager George Soros shorted the British pound against the European Exchange Rate Mechanism constraints, forcing the UK's withdrawal in what became known as Black Wednesday. Electronic trading platforms emerged in the 1990s and 2000s, replacing voice-brokered interbank markets and dramatically reducing transaction costs for institutional and retail participants alike.
Frequently Asked Questions
Sources & References
Formula
PP = (High + Low + Close) / 3 | R1 = 2×PP − Low | S1 = 2×PP − High
The standard pivot point (PP) is the average of the previous period's high, low, and close. Support and resistance levels are derived from this central value. R1 and S1 are first-level support/resistance, R2/S2 are second-level, and R3/S3 are third-level. Fibonacci pivots multiply the range by Fibonacci ratios. Camarilla pivots use a different formula that generates levels closer to the close price.
Worked Examples
Example 1: EUR/USD Daily Pivot Calculation
Problem: Previous day: High 1.1050, Low 1.0950, Close 1.1020.
Solution: PP = (1.1050 + 1.0950 + 1.1020) / 3 = 1.1007\nR1 = (2 × 1.1007) - 1.0950 = 1.1063\nS1 = (2 × 1.1007) - 1.1050 = 1.0963\nR2 = 1.1007 + (1.1050 - 1.0950) = 1.1107\nS2 = 1.1007 - (1.1050 - 1.0950) = 1.0907
Result: PP: 1.1007 | R1: 1.1063 | S1: 1.0963 | Bullish bias
Example 2: GBP/USD Pivot with Fibonacci
Problem: Previous day: High 1.2700, Low 1.2600, Close 1.2650.
Solution: PP = (1.2700 + 1.2600 + 1.2650) / 3 = 1.2650\nRange = 0.0100\nFib R1 = 1.2650 + (0.382 × 0.0100) = 1.2688\nFib S1 = 1.2650 - (0.382 × 0.0100) = 1.2612
Result: PP: 1.2650 | Fib R1: 1.2688 | Fib S1: 1.2612
Frequently Asked Questions
What are pivot points in trading?
Pivot points are technical analysis indicators calculated from the previous period's high, low, and close prices. They produce a central pivot point (PP) along with support levels (S1, S2, S3) and resistance levels (R1, R2, R3). Floor traders on the NYSE and CME originally used pivot points to determine key levels for the trading day. Today, they are widely used in forex, stocks, and futures trading. The pivot point itself acts as a reference: price above PP suggests bullish bias, price below PP suggests bearish bias.
How do I trade using pivot points?
Basic pivot point strategies include: 1) Bounce Trading: buy at support levels (S1, S2) and sell at resistance levels (R1, R2) in range-bound markets. 2) Breakout Trading: when price breaks above R1, go long targeting R2. When price breaks below S1, go short targeting S2. 3) Bias Trading: if price opens above PP, look for long entries. If below PP, look for short entries. 4) Confluence: combine pivots with other analysis — when a pivot level aligns with a trendline, moving average, or Fibonacci level, it becomes a stronger level.
What timeframe should I use for pivot point calculations?
The input timeframe depends on your trading style. Day traders use the previous day's high, low, and close (daily pivots). Swing traders may use weekly pivots (previous week's HLC). Position traders use monthly pivots. The most commonly used are daily pivots. For forex, the daily candle close time matters — most platforms use the New York close (5 PM ET) as the daily close. Using different close times will produce different pivot levels, so be consistent with your broker's candle times.
Are pivot points reliable indicators?
Pivot points are self-fulfilling to some degree because so many traders watch them. They work best in liquid markets (major forex pairs, S&P 500) where large numbers of participants use similar levels. They are most reliable during active sessions (London, New York). However, no indicator is 100% reliable. Pivot points should be used as one tool among many — combine them with price action, volume analysis, and other technical indicators. They work well for identifying key levels but should not be used as sole entry/exit signals.
What inputs do I need to use Pivot Point Calculator accurately?
Each field is labelled with the required unit (metric or imperial). Gather your source values before starting — for example, a weight measurement in kilograms, a distance in metres, or a dollar amount — and enter them exactly as measured. The formula section on this page lists every variable and explains what each represents.
How do I interpret the result?
Results are displayed with a label and unit to help you understand the output. Many calculators include a short explanation or classification below the result (for example, a BMI category or risk level). Refer to the worked examples section on this page for real-world context.
References
Reviewed by Daniel Agrici, Founder & Lead Developer · Editorial policy