Elliott Wave Calculator
Calculate Elliott Wave fibonacci projections for waves 3, 5, and corrective ABC targets. Enter values for instant results with step-by-step formulas.
Reviewed for accuracy by Daniel Agrici, Founder & Lead Developer
Elliott Wave Calculator
Calculator
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Formula: Wave 5 Target = Wave 4 End + (Wave 1 Length x Fibonacci Ratio)
Worked example — Wave 5 Targets: 147.36 (61.8%) | 155.00 (100%) | 167.36 (161.8%) | Cluster near 155 = high probability
Formula
Wave 5 Target = Wave 4 End + (Wave 1 Length x Fibonacci Ratio)
Elliott Wave projections use Fibonacci ratios (0.618, 1.0, 1.272, 1.618, 2.618) applied to completed wave lengths to project future wave targets. Wave relationships must satisfy three cardinal rules: Wave 2 cannot retrace >100% of Wave 1, Wave 3 cannot be the shortest impulse wave, and Wave 4 cannot enter Wave 1 price territory.
Worked Examples
Example 1: Wave 5 Fibonacci Projection
Problem:Bullish impulse: Wave 0 = 100, Wave 1 end = 120, Wave 2 end = 112, Wave 3 end = 145, Wave 4 end = 135. Calculate Wave 5 targets.
Solution:Wave 1 length = 120 - 100 = 20 points Wave 5 = 61.8% of Wave 1: 20 x 0.618 = 12.36, Target = 135 + 12.36 = 147.36 Wave 5 = 100% of Wave 1: 20 x 1.0 = 20, Target = 135 + 20 = 155.00 Wave 5 = 161.8% of Wave 1: 20 x 1.618 = 32.36, Target = 135 + 32.36 = 167.36 Wave 3 length = 145 - 112 = 33 points Wave 5 = 61.8% of Wave 3: 33 x 0.618 = 20.39, Target = 135 + 20.39 = 155.39
Result:Wave 5 Targets: 147.36 (61.8%) | 155.00 (100%) | 167.36 (161.8%) | Cluster near 155 = high probability
Example 2: Elliott Wave Rule Validation
Problem:Check if this wave count is valid: Wave 0 = 100, Wave 1 = 120, Wave 2 = 115, Wave 3 = 138, Wave 4 = 119. Bullish impulse.
Solution:Rule 1: Wave 2 retracement = |115-120|/|120-100| = 5/20 = 25% (VALID, <100%) Rule 2: Wave 1 = 20 pts, Wave 3 = |138-115| = 23 pts, Wave 3 > Wave 1 (VALID) Rule 3: Wave 4 (119) vs Wave 1 end (120) - Wave 4 < Wave 1 end Wave 4 at 119 enters Wave 1 territory (Wave 1 high = 120, low = 100) Actually Wave 4 must not go below Wave 1 HIGH in bullish: 119 < 120 = VIOLATED This wave count is INVALID - must be recounted
Result:INVALID COUNT | Wave 4 (119) overlaps Wave 1 territory (120) | Must recount
Frequently Asked Questions
What is Elliott Wave Theory and how does it work?
Elliott Wave Theory is a form of technical analysis developed by Ralph Nelson Elliott in the 1930s that proposes market prices unfold in specific patterns reflecting the collective psychology of market participants. The theory states that markets move in a repeating cycle of five impulse waves in the direction of the main trend, followed by three corrective waves against the trend, forming an 8-wave cycle. Waves 1, 3, and 5 are impulse (motive) waves that move with the trend, while waves 2 and 4 are corrective waves that retrace portions of the preceding impulse. After the five-wave impulse completes, a three-wave correction labeled A-B-C unfolds. These patterns are fractal in nature, meaning they appear at every timeframe from monthly charts to minute charts.
What are the three cardinal rules of Elliott Wave Theory?
Elliott Wave Theory has three inviolable rules that must be followed for a valid wave count. First, Wave 2 must never retrace more than 100 percent of Wave 1, meaning the end of Wave 2 cannot go below the start of Wave 1 in an uptrend or above it in a downtrend. Second, Wave 3 can never be the shortest of the three impulse waves (1, 3, and 5), and in practice Wave 3 is usually the longest and strongest. Third, Wave 4 must not enter the price territory of Wave 1, meaning in a bullish impulse, the low of Wave 4 must stay above the high of Wave 1. If any of these rules are violated, the wave count is incorrect and must be re-evaluated. These rules are absolute and distinguish Elliott Wave from mere guidelines.
How do Fibonacci ratios relate to Elliott Wave projections?
Fibonacci ratios are deeply intertwined with Elliott Wave Theory because wave relationships consistently demonstrate Fibonacci proportions. Wave 2 typically retraces 50 percent to 78.6 percent of Wave 1 (both Fibonacci ratios). Wave 3 is often 161.8 percent of Wave 1 in length, which is the golden ratio extension. Wave 4 commonly retraces 38.2 percent of Wave 3. Wave 5 frequently equals Wave 1 in length or extends to 61.8 percent or 161.8 percent of Wave 1. For the corrective ABC pattern, Wave C often equals Wave A or extends to 161.8 percent of Wave A. These Fibonacci relationships allow traders to project price targets for upcoming waves based on completed wave measurements. The more Fibonacci relationships that cluster at a single price level, the stronger that level becomes as a target.
How do you project Wave 5 targets?
Wave 5 targets can be projected using several Fibonacci-based methods. The most common method uses Wave 1 as the reference: Wave 5 often equals Wave 1 in length (100 percent), or extends to 61.8 percent or 161.8 percent of Wave 1. To calculate, measure the length of Wave 1 and project the appropriate ratio from the end of Wave 4. A second method uses Wave 3 as reference: Wave 5 is often 38.2 percent, 50 percent, or 61.8 percent of Wave 3 in length. A third approach projects from the beginning of Wave 1 to the end of Wave 3, multiplying by 61.8 percent or 100 percent and adding to the Wave 4 endpoint. When multiple methods cluster at similar price levels, those levels carry higher probability. In extended fifth waves, the target may reach 261.8 percent of Wave 1.
What are corrective wave patterns and how do you identify ABC targets?
Corrective waves follow the five-wave impulse and typically unfold in three waves labeled A, B, and C. The simplest form is the zigzag (5-3-5 internal structure) where Wave C extends to 100 percent or 161.8 percent of Wave A. Flat corrections (3-3-5 structure) have Wave B approximately equal to Wave A, and Wave C equal to or slightly beyond Wave A. Triangle corrections contract with five overlapping waves. For ABC target projections, measure the full impulse move and apply Fibonacci retracement ratios. The most common corrective targets are 38.2 percent, 50 percent, and 61.8 percent retracements of the entire impulse. The nature of Wave 2 often determines Wave 4 through alternation, meaning if Wave 2 is sharp, Wave 4 tends to be sideways and vice versa.
What is the alternation principle in Elliott Wave Theory?
The alternation principle is a guideline stating that if Wave 2 is a sharp correction, Wave 4 will likely be a sideways or complex correction, and vice versa. This principle reflects the natural tendency of markets to alternate between different types of corrective patterns. For example, if Wave 2 is a deep zigzag retracing 61.8 percent of Wave 1, then Wave 4 might be a shallow flat or triangle correction retracing only 38.2 percent of Wave 3. Alternation also applies to the depth of corrections, the duration, and the complexity. While not a strict rule, alternation is a strong tendency that helps traders anticipate the character of upcoming corrective waves. Understanding alternation improves wave identification accuracy and helps set more realistic expectations for correction depth and duration.
How do you count waves correctly on a price chart?
Accurate wave counting starts with identifying the largest clear trend on your chart and determining whether you are in an impulse or corrective phase. Begin with the highest timeframe available and identify the major wave structure, then drill down to lower timeframes for sub-wave detail. Look for the three cardinal rules being satisfied to validate your count. Wave 3 is usually the longest and most powerful, often accompanied by the highest volume and strongest momentum indicators. Wave 1 often looks uncertain, Wave 2 creates fear with a deep retracement, Wave 3 brings broad participation, Wave 4 is boring and sideways, and Wave 5 brings euphoria but on declining momentum. Always maintain at least one alternative count in case your primary interpretation is wrong. Use Fibonacci relationships to confirm your count.
What are extended waves and which wave typically extends?
An extended wave is an elongated impulse wave with exaggerated sub-divisions, typically much longer than the other impulse waves in the sequence. In stock markets, Wave 3 is the most commonly extended wave, often reaching 161.8 percent to 261.8 percent of Wave 1. In commodity markets, Wave 5 extensions are more common. When Wave 3 extends, it often equals 1.618 times Wave 1 measured from the end of Wave 2. Extended waves themselves contain five clear sub-waves that are easily visible on the chart. Only one of the three impulse waves typically extends, and the other two tend to be roughly equal in length and time. Identifying which wave is extending helps traders set appropriate targets and understand where they are in the overall wave structure.
How reliable is Elliott Wave Theory for trading?
Elliott Wave Theory is subjective in its application, and different analysts can arrive at different wave counts for the same chart, which is both its strength and weakness. The theory provides a framework for understanding market structure and setting probabilistic targets, but it is not a mechanical system that produces exact signals. Its reliability improves significantly when combined with Fibonacci ratios for target confirmation, momentum indicators for wave identification, and volume analysis. The biggest challenge is that wave counts are only confirmed in hindsight, and real-time counting requires maintaining multiple scenarios. Professional Elliott Wave practitioners typically maintain a primary count and one or two alternative counts. The theory works best as one component of a comprehensive trading approach rather than a standalone system.
How do you use Elliott Wave Theory for risk management?
Elliott Wave Theory provides natural stop loss and invalidation levels based on wave rules. For a long position entered at the start of Wave 3, the stop loss goes below the start of Wave 1 because Wave 2 cannot retrace more than 100 percent of Wave 1. For a position at the start of Wave 5, the stop goes below the end of Wave 4 because if price drops below that level, the wave count is invalid. The Wave 4 non-overlap rule means a stop below the Wave 1 high is appropriate for positions taken during Wave 5. Fibonacci projections provide natural take-profit levels, with the most common being the 100 percent and 161.8 percent extensions. Risk-reward ratios can be precisely calculated by comparing the distance to the invalidation level with the distance to the Fibonacci target. This structured approach to risk management is one of the most practical benefits of Elliott Wave analysis.
References
Reviewed for accuracy by Daniel Agrici, Founder & Lead Developer · Editorial policy
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