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Relative strength index

The Relative Strength Index (RSI) is a momentum oscillator used in technical analysis to measure the speed and magnitude of recent price changes in financial assets, helping traders identify overbought or oversold conditions.^[1] Developed by American engineer and trader J. Welles Wilder Jr. in 1978 and introduced in his seminal book New Concepts in Technical Trading Systems, the RSI quantifies the relative strength of upward versus downward price movements over a specified period, typically 14 days.^[2]^[3] The indicator is calculated using the formula RSI = 100 - (100 / (1 + RS)), where RS (Relative Strength) is the average gain of up periods divided by the average loss of down periods, smoothed over time to reflect ongoing momentum.^[1] It produces values ranging from 0 to 100, with readings above 70 signaling potential overbought conditions that may precede a price reversal or pullback, and readings below 30 indicating oversold conditions that could signal an upcoming rebound.^[4] While the standard thresholds are 70 and 30, these can be adjusted for different market volatilities or asset classes, such as using 80 and 20 in strongly trending markets to reduce false signals.^[5] In practice, the RSI is widely applied across stocks, forex, commodities, and cryptocurrencies to gauge trend strength, spot divergences (where price and RSI move in opposite directions, hinting at reversals), and confirm other technical signals, though it performs best in ranging or sideways markets rather than strong trends where it may remain overextended.^[6] Despite its popularity since the late 1970s, limitations include its sensitivity to the chosen lookback period and potential for whipsaws in volatile environments, prompting traders to combine it with volume indicators or moving averages for more robust analysis.^[1]

Introduction

Definition and Purpose

The Relative Strength Index (RSI) is a momentum oscillator used in technical analysis to measure the speed and magnitude of recent price changes in financial instruments, such as stocks, commodities, or currencies.^[2]^[7] It provides a bounded scale from 0 to 100, where values near 100 indicate strong upward momentum and values near 0 suggest weak or downward momentum.^[2]^[8] The primary purpose of the RSI is to identify potential overbought or oversold conditions in the market, signaling possible price reversals or trading opportunities.^[2]^[7] Traditionally, an RSI reading above 70 indicates an overbought asset, which may be due for a pullback, while a reading below 30 suggests an oversold condition, potentially preceding a rebound.^[8]^[7] These thresholds help traders gauge the relative strength of price movements compared to historical norms over a given period.^[2] At its core, the RSI compares the average magnitude of gains to the average magnitude of losses over a specified look-back period, normalizing this ratio to produce the oscillator value.^[7] For instance, in stock trading, a high RSI might reveal that a share price has risen sharply relative to its recent performance, indicating the asset could be overextended and at risk of correction.^[2] This assessment aids investors in timing entries or exits without relying solely on price direction.^[8]

Historical Development

The Relative Strength Index (RSI) was developed by J. Welles Wilder Jr., a mechanical engineer who transitioned into technical analysis,^[9] and first published in June 1978 in an article in Commodities magazine (now known as Futures magazine).^[10] Wilder detailed the indicator in his seminal book New Concepts in Technical Trading Systems, released later that year by Trend Research, where RSI appeared alongside other innovations he created, such as the Parabolic SAR, Average True Range (ATR), and Average Directional Index (ADX). These tools formed a cohesive suite designed to help traders navigate complex market dynamics through objective, quantifiable signals.^[11] Wilder's work emerged amid the heightened volatility of the 1970s commodity futures markets, characterized by frequent limit moves, price gaps, and sharp fluctuations driven by geopolitical events, oil crises, and supply disruptions.^[12] At the time, traditional technical methods often failed to capture the full extent of intraday and overnight price swings in commodities like grains, metals, and energy products, prompting Wilder to devise RSI as a momentum-based oscillator to measure the speed and magnitude of price changes more reliably.^[1] His background in engineering influenced the indicator's emphasis on smoothed averages and relative comparisons, aiming to provide traders with a standardized way to assess internal market strength without relying solely on price direction. Following its introduction, RSI saw rapid early adoption among commodity and futures traders seeking to identify potential reversals in volatile environments, and it soon extended to stock market analysis as technical trading gained broader acceptance in the late 1970s and 1980s.^[1] Wilder himself made no significant updates to the core RSI methodology in subsequent works, preserving its original 14-period default and calculation approach as the standard. By the 1990s, the indicator had become a staple in professional trading software platforms, facilitating its integration into algorithmic and retail trading systems worldwide. Wilder passed away on April 18, 2021.^[9]

Calculation

Core Formula

The Relative Strength Index (RSI) is computed using a standard period of 14 days or bars, as originally specified by its developer J. Welles Wilder Jr.^[1] To calculate RSI, first determine the gains and losses for each period based on closing prices: a gain is the positive difference between consecutive closes (or zero if the change is negative or zero), and a loss is the absolute value of the negative difference (or zero if the change is positive or zero).^[13] For the initial RSI value, compute the average gain and average loss as the simple arithmetic mean of the first 14 gains and losses, respectively:

\text{Average Gain} = \frac{\sum_{i=1}^{14} \text{Gain}_i}{14}, \quad \text{Average Loss} = \frac{\sum_{i=1}^{14} \text{Loss}_i}{14}.

Subsequent values use Wilder's smoothing method, an exponential moving average variant with a smoothing factor of $1/14:

\text{Average Gain}_t = \frac{(\text{Previous Average Gain} \times 13) + \text{Current Gain}}{14},

\text{Average Loss}_t = \frac{(\text{Previous Average Loss} \times 13) + \text{Current Loss}}{14}.

This approach weights recent data while incorporating historical averages.^[1]^[13] The relative strength (RS) is then the ratio of the average gain to the average loss:

\text{RS} = \frac{\text{Average Gain}}{\text{Average Loss}}.

The RSI is derived from RS using the formula:

\text{RSI} = 100 - \frac{100}{1 + \text{RS}}.

Special cases handle division by zero: if the average loss is zero, RSI is set to 100; if the average gain is zero, RSI is set to 0.^[1]^[13] As an illustrative example, consider the following gains and losses over 14 periods (derived from hypothetical closing price changes):

Period	Gain	Loss
1	2	0
2	0	1
3	3	0
4	0	2
5	1	0
6	0	1
7	4	0
8	0	3
9	2	0
10	0	1
11	3	0
12	0	1
13	1	0
14	0	2

The initial average gain is the sum of gains (16) divided by 14, yielding 1.14. The average loss is the sum of losses (11) divided by 14, yielding 0.79. Thus, RS ≈ 1.44, and RSI ≈ 100 - (100 / (1 + 1.44)) ≈ 59.09.^[6]^[13]

Parameter Selection

The default period for calculating the Relative Strength Index (RSI) is 14, as originally recommended by J. Welles Wilder in his 1978 book New Concepts in Technical Trading Systems to achieve a balance between responsiveness to recent price movements and filtering out market noise.^[1]^[14] Shorter periods, such as 9, enhance the RSI's sensitivity to price changes, making it more suitable for short-term trading approaches like day trading, but this adjustment increases the likelihood of false signals from transient fluctuations.^[1]^[14] In contrast, longer periods like 21 or 25 produce smoother RSI readings that emphasize sustained trends for long-term analysis, though they can delay the identification of emerging reversals due to inherent lag.^[1]^[14] The conventional overbought threshold is 70 and oversold is 30, but these levels can be adjusted to 80 and 20, respectively, in strongly trending or highly volatile environments to reduce whipsaws and align better with market momentum.^[15]^[2]^[16] Traders should tailor RSI parameters to the specific asset class and chart timeframe, opting for shorter periods in fast-moving markets like forex or on intraday charts to capture quick shifts, while favoring longer periods for relatively stable assets such as stocks analyzed on daily or weekly bases.^[1]^[17]^[14]

Interpretation

Basic Principles

The Relative Strength Index (RSI) serves as a momentum oscillator that evaluates the speed and magnitude of recent price changes by comparing the relative strength of upward movements to downward movements in a security's price.^[1] This comparative approach quantifies the internal momentum of price action, distinguishing it from absolute price levels by focusing on the balance between gains and losses over a specified period.^[2] Developed to provide insights into market dynamics, RSI helps traders assess whether upward or downward momentum is dominating without predicting the direction of future price movements.^[18] As an oscillator, RSI fluctuates within a bounded range of 0 to 100, cycling toward extremes to reflect the prevailing market strength or weakness.^[1] When upward price momentum intensifies through larger or more frequent gains, the RSI value increases, signaling stronger bullish internal dynamics; conversely, it decreases during periods of dominant downward momentum.^[2] This oscillatory behavior arises from the averaging of price changes, providing a smoothed representation of momentum shifts that highlights periods of acceleration or deceleration in price trends.^[18] The centerline at 50 acts as a pivotal reference point in RSI interpretation, where readings above this level indicate prevailing bullish momentum and those below suggest bearish dominance.^[1] Specifically, RSI rises above 50 when average gains outpace average losses, illustrating a net positive rate of change in price momentum, and falls below when losses exceed gains.^[2] This threshold underscores the indicator's sensitivity to the relative rate of price change rather than the absolute size of movements.^[18] Fundamentally, RSI operates as a non-directional tool that emphasizes comparative momentum, making it versatile across different market environments.^[1] It performs effectively in ranging markets by capturing oscillations around equilibrium but can be adapted for trending conditions through parameter adjustments to maintain relevance in sustained directional moves.^[2] This adaptability stems from its core design, which prioritizes the balance of internal price forces over external trend assumptions.^[18]

Overbought and Oversold Conditions

The Relative Strength Index (RSI) identifies overbought conditions when its value exceeds 70, indicating that the asset may be due for a potential pullback as buying momentum wanes and selling pressure could emerge.^[1] This threshold was originally established by J. Welles Wilder Jr. in his 1978 book New Concepts in Technical Trading Systems, where he noted that such levels suggest the possibility of a reversal in ranging markets.^[14] Conversely, an RSI reading below 30 signals oversold conditions, implying that selling has been excessive and a price rebound may occur as buyers step in.^[1] Wilder similarly defined this lower bound to highlight opportunities for potential upward corrections.^[14] Traders often interpret an overbought RSI as a cue to consider short positions or to exit long holdings, anticipating downward price movement.^[19] For oversold readings, it serves as an indicator of buying opportunities, where entering long positions could capitalize on an expected recovery.^[19] These signals are most effective in sideways or range-bound markets, where price oscillates between support and resistance levels without a dominant trend.^[14] To validate these extremes, traders typically await confirmation from price action, such as a reversal candlestick pattern or a break of recent highs/lows, before acting on the signal.^[6] For instance, a bullish engulfing pattern following an oversold RSI can strengthen the case for a buy entry.^[19] Without such corroboration, the RSI signal alone may lead to premature trades. In a sideways market, for example, an RSI that surges to 80—well into overbought territory—followed by a subsequent drop below 70 can signal an emerging sell opportunity, as the momentum shift aligns with potential price decline toward support.^[20] This pattern reflects the oscillator's ability to highlight exhaustion at range extremes.^[14] However, in strongly trending markets, overbought or oversold RSI levels can persist for extended periods without triggering a reversal, reducing the reliability of these signals.^[1] Such persistence occurs because sustained momentum keeps the indicator pinned in extreme zones, a nuance best addressed through broader context in practical usage.^[14]

Trend Identification

In uptrends, the Relative Strength Index (RSI) typically fluctuates between 40 and 90, reflecting sustained buying pressure while avoiding extreme oversold conditions. Pullbacks in price during such bull markets often see the RSI find support in the 40-50 zone, rarely dropping below 30, which confirms the trend's strength rather than signaling a reversal.^[14] This behavior allows traders to identify low-risk entry points on dips, as the RSI's resilience above these levels indicates ongoing bullish momentum. For instance, during the SPY's uptrend from 2003 to 2007, the RSI repeatedly held support in the 40-50 range multiple times, aligning with price recoveries.^[14] In downtrends or bear markets, the RSI generally remains between 10 and 60, with rallies failing to push above 70 and often stalling at the 50-60 resistance zone. This pattern underscores weakening selling pressure during temporary bounces, but the failure to exceed higher levels reinforces the bearish continuation. An example is the US Dollar Index in 2009, where the RSI marked the bear range's start around 30 and treated 50-60 as consistent resistance during attempted rallies.^[14] For bullish trends, higher lows in the RSI that align with higher lows in price provide confirmation of trend continuation, particularly when the RSI stays above 50, signaling robust upward momentum. Conversely, in bearish trends, lower highs in the RSI mirror price action, with values below 50 indicating persistent downward pressure. In strong downtrends, thresholds may be adjusted upward—for example, considering oversold conditions around 40 rather than 30—to better capture the trend's internal strength without mistaking brief relief for reversals.^[21] A practical illustration in an uptrend occurs when the RSI bounces from 40 to 60, affirming renewed buying pressure and supporting further price advances.^[22]

Divergence and Reversals

Divergence in the Relative Strength Index (RSI) occurs when the indicator's movement fails to align with the price action of the underlying security, often signaling a potential weakening of the current trend and an impending reversal.^[14] According to J. Welles Wilder, the creator of RSI, such divergences indicate that directional momentum is not confirming the price extremes, providing traders with early warnings of trend changes.^[14] Bullish divergence forms when the price records a lower low, but the RSI traces a higher low above its previous trough, suggesting diminishing selling pressure and a possible upward reversal.^[14] This pattern typically emerges in oversold conditions below 30, where the mismatch highlights building bullish momentum despite continued price declines.^[4] Conversely, bearish divergence appears when the price achieves a higher high, yet the RSI forms a lower high below its prior peak, indicating fading buying strength and a potential downturn, often in overbought territory above 70.^[14]^[4] Divergences are classified into regular and hidden types. Regular divergences, as described by Wilder, predict trend reversals, with bullish versions signaling the end of downtrends and bearish ones the exhaustion of uptrends.^[14] Hidden divergences, conversely, suggest trend continuation; for instance, a hidden bullish divergence occurs when price makes a higher low but RSI a lower low, reinforcing an ongoing uptrend.^[23] Failure swings provide another reversal signal independent of price action. In a bullish failure swing, the RSI dips below 30, rebounds above it, holds support at that level, and then surpasses its prior high, confirming a bottom without requiring price confirmation.^[14] A bearish failure swing mirrors this: the RSI rises above 70, retraces without exceeding the prior low, and breaks below that low, signaling a top.^[24] Wilder emphasized these swings as particularly reliable reversal indicators due to their focus on RSI extremes.^[25] An illustrative example of bullish divergence preceded the sharp stock market rally in March 2020. During the COVID-19-induced decline, the Nasdaq 100 index hit new lows, but the RSI formed higher lows, foreshadowing the recovery that followed as markets rebounded strongly.^[26] To enhance reliability, traders often confirm RSI divergences and failure swings with volume analysis or complementary indicators like moving averages. Rising volume on a bullish divergence, for instance, validates increasing buyer interest, while crossovers in other oscillators can provide additional confluence for entry decisions.^[27]^[28]

Variations

Cutler's RSI

Cutler's RSI is a variation of the Relative Strength Index that substitutes a simple moving average (SMA) for the exponential smoothing technique in calculating average gains and losses, providing an alternative approach to momentum measurement.^[29] In this method, the average gain is computed as the SMA of upward price changes over n periods, and the average loss as the SMA of downward price changes (taken as positive values) over the same period, eliminating the recursive weighting factors of \frac{1}{n} for new data and \frac{n-1}{n} for the prior average employed in the original RSI. The relative strength (RS) is then the ratio of average gain to average loss, with the RSI derived as:

\text{RSI} = 100 - \frac{100}{1 + \text{RS}}

This adaptation simplifies the computational process compared to exponential methods.^[29] Key advantages include ease of implementation in software, as SMA calculations are non-recursive and straightforward, and reduced sensitivity to the overall length of historical data, yielding consistent outputs regardless of the dataset's starting point or duration. These traits make it particularly suitable for algorithmic trading environments where reproducibility across varying data feeds is essential.^[29]^[30] A notable drawback is its equal weighting of all periods within the SMA window, which diminishes emphasis on recent price action and can heighten vulnerability to market noise, especially in highly volatile conditions without the dampening effect of exponential smoothing.^[29] When applied to identical price data, Cutler's RSI aligns precisely with the standard RSI during the initial n periods (both using SMA by default), but diverges afterward; the SMA-based version may exhibit delayed responses to abrupt momentum shifts due to its uniform averaging, potentially generating signals that lag behind the more recent-data-weighted original in volatile scenarios.^[29]

Other Adaptations

Timeframe adaptations of the Relative Strength Index (RSI) involve adjusting the lookback period and chart intervals to suit specific trading horizons, enhancing its responsiveness to market dynamics. For intraday scalping, traders often apply shorter periods such as RSI(2) or RSI(3) on 1-minute or 5-minute charts to capture rapid price swings, using overbought thresholds at 80-90 and oversold at 10-20 for quicker signals in volatile sessions.^[31]^[32] In contrast, long-term investors favor weekly RSI with a standard 14-period setting to filter out noise and identify sustained trends, where readings above 70 may signal caution for potential pullbacks in broader market cycles.^[33]^[34] The Connors RSI (CRSI), developed by trader Larry Connors, refines the traditional RSI for short-term trading by integrating three components into a composite oscillator ranging from 0 to 100. It combines a 3-period RSI of price closes, a 2-period RSI of up/down streak lengths (measuring consecutive directional days), and the percentile rank of a 100-period rate of change (ROC), normalized as: CRSI = (RSI(3) + Streak RSI(2) + ROC PercentRank) / 3. This adaptation aims to better pinpoint overbought/oversold extremes in mean-reverting strategies, with thresholds often set at 10 for buys and 90 for sells.^[35] Stochastic RSI (StochRSI), introduced by Tushar S. Chande and Stanley Kroll in their 1994 book The New Technical Trader, applies the stochastic oscillator formula to RSI values over a set period (typically 14) to create a more sensitive momentum gauge. The core formula is: StochRSI = (Current RSI - Lowest Low RSI) / (Highest High RSI - Lowest Low RSI), producing values between 0 and 1 (or 0-100 when scaled), which helps detect earlier overbought conditions above 0.8 or oversold below 0.2 compared to standard RSI.^[36] This double-momentum approach reduces lag in ranging markets but can generate more false signals in strong trends. Multi-timeframe RSI analysis strengthens signal confirmation by comparing RSI readings across intervals, such as aligning a daily RSI oversold reading (below 30) with an hourly uptrend to validate entries. Traders often use higher timeframes (e.g., weekly) for directional bias and lower ones (e.g., 4-hour) for precise timing, improving accuracy in trend-following setups by avoiding isolated timeframe biases.^[19] In modern applications like cryptocurrency and options trading, RSI adaptations account for heightened volatility through shorter periods (e.g., 7-10 instead of 14) or dynamic thresholds (e.g., 80/20), enabling better overbought/oversold detection in assets like Bitcoin where standard settings may underperform due to frequent extremes.^[37]^[38]

Applications and Limitations

Practical Usage

The Relative Strength Index (RSI) is frequently employed as a standalone tool in range-bound markets to identify potential entry and exit points. Traders typically buy when the RSI crosses above 30 from oversold territory, signaling a possible upward reversal, and sell when it crosses below 70 from overbought levels, indicating a potential downturn. This approach is particularly effective in sideways markets where price oscillates without a strong directional bias, allowing the oscillator to highlight momentum shifts for short-term trades.^[1]^[19] To enhance reliability, RSI is commonly combined with other indicators for confirmation. For instance, in conjunction with moving averages, traders may enter long positions only when the RSI exceeds 50 and the price is above a key moving average like the 50-day simple moving average (SMA), thereby aligning momentum with the prevailing trend. Similarly, pairing RSI with the Moving Average Convergence Divergence (MACD) provides additional validation; a bullish RSI crossover below 30 can be confirmed by a MACD histogram turning positive, reducing false signals in volatile conditions. These combinations help filter trades and improve timing across various timeframes.^[1]^[19]^[3] RSI finds broad applications across asset classes, with adaptations based on market characteristics. In stocks, it is often applied to daily charts for swing trading, capturing overbought or oversold extremes in individual equities or indices. Forex traders favor shorter periods, such as 14 on hourly charts, to navigate high-liquidity pairs like EUR/USD amid frequent ranging sessions. Commodities represent Wilder's original focus, where the indicator was developed for futures markets like those in cotton and grains, leveraging its sensitivity to supply-driven price swings. In cryptocurrencies, RSI is popular for identifying overbought and oversold conditions in volatile markets, often using adjusted thresholds like 80 and 20 to account for extreme price swings.^[1]^[3]^[39]^[40] Backtesting reveals that RSI's historical performance varies by market environment; it generated significant abnormal returns, such as 1.017% over ten days in the Dow Jones Industrial Average using oversold thresholds, proving effective during the 1980s bull markets when ranging conditions prevailed. However, its efficacy diminishes in strong trending periods, where prolonged overbought or oversold readings lead to whipsaws and underperformance compared to buy-and-hold strategies.^[41]^[1] Effective integration of RSI into strategies necessitates robust risk management, as the indicator alone does not predict price movements with certainty. Traders should always incorporate stop-loss orders, typically set at 1-2% below entry levels for long trades, to limit downside exposure from false signals. Position sizing based on account risk, combined with multi-indicator confirmation, further mitigates the non-predictive nature of RSI in isolation.^[19]^[3]

Common Pitfalls

One common pitfall in using the Relative Strength Index (RSI) is the generation of whipsaws, or frequent false signals, particularly in choppy or sideways markets where price action lacks clear direction. This occurs because the RSI's momentum calculations can produce multiple crossovers of overbought and oversold thresholds without sustained price movement, leading to premature entries and exits that erode profits through transaction costs.^[42] To mitigate this, traders often apply filters such as trend-following indicators like moving averages to confirm signals only in aligned market conditions.^[43] Another issue arises from trend persistence, where RSI readings remain in overbought (above 70) or oversold (below 30) territory for extended periods during strong directional trends, invalidating traditional reversal signals. For instance, in prolonged bull markets, the indicator may signal overbought conditions for months without a price pullback, as momentum sustains the uptrend.^[1] This persistence highlights the RSI's design limitation in capturing ongoing trend strength rather than imminent reversals. The lagging nature of the RSI further compounds these challenges, as it relies on historical price data—typically a 14-period average—causing delays in signal generation that miss sudden market shifts driven by news or events. In fast-moving or volatile environments, this delay can result in late entries or overlooked opportunities, underscoring the need for supplementary real-time tools like volume analysis.^[44] Over-reliance on RSI as a standalone tool exacerbates pitfalls, especially in low-volume assets where thin liquidity amplifies noise and generates unreliable signals.^[45] Without integration into a broader strategy, users risk ignoring contextual factors, leading to consistent underperformance. Empirically, studies on RSI and similar technical indicators reveal mixed results regarding predictive power, with no inherent statistical edge in efficient markets after accounting for transaction costs, risk, and data snooping biases.^[46] Out of 92 reviewed studies from 1988 to 2004, 58 showed positive profits for technical systems including RSI, 24 negative, and 10 mixed, indicating variability rather than consistent superiority.^[46] Best practices to address these issues include combining RSI with fundamental analysis for long-term validation and adjusting thresholds dynamically for volatility using tools like the Average True Range (ATR), which scales signals to market conditions and reduces false positives.^[43]^[47]

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Jul 16, 2010 · New concepts in technical trading systems ; Publication date: 1978 ; Topics: Commodity exchanges, Speculation ; Publisher: Greensboro, N.C. : Trend ...
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Revisiting the Performance of MACD and RSI Oscillators - MDPI
In this paper, the profitability of the MACD and RSI, are evaluated. MACD was proven to be a valuable tool for traders in the 1980s, and RSI has also been ...
[37]
The Best RSI Settings for FX, Day Trading, and Scalping Strategies
Feb 26, 2025 · We are going to explain it and provide some ideas for the best RSI indicator settings to turbocharge your profit potential.
[38]
RSI Trading Strategy (91% Win Rate): Backtest, Indicator, And Settings
Jan 23, 2025 · The RSI trading strategy identifies overbought and oversold conditions in markets, measuring momentum on a scale.
[39]
RSI indicator strengths and weaknesses - Titan FX
Mar 1, 2023 · RSI strengths: clear signals, easy to use, works with other indicators. Weaknesses: false signals, may lag, few opportunities, difficult to ...Missing: Cutler's | Show results with:Cutler's
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RSI Indicator: Your Secret Weapon for Smarter Forex Trading
Modified RSI Variations. Cutler's RSI: Uses simple moving averages instead of Wilder's smoothing. Stochastic RSI: Applies Stochastic formula to RSI values.Missing: Chande | Show results with:Chande
[41]
[PDF] The Profitability of Technical Analysis: A Review by Cheol-Ho Park ...
The Relative Strength Index was designed to overcome two problems encountered in developing meaningful momentum oscillators: (1) erroneous erratic movement, and ...
[42]
The ATR-Guided RSI - A Powerful New Technical Indicator
May 5, 2025 · The ATR-guided RSI is a unique technical indicator that combines volatility and momentum analysis for enhanced signal filtering. This tool works ...