2004issue C091-12
Reverse-engineered RSI as an explicit next-bar price target
A reverse-engineered Relative Strength Index solves for the next price that would produce a chosen oscillator reading. The signed increment is built from the Wilder lookback, average up change, and average down change, so support and resistance come from the same averages used to plot the oscillator.
- Reverse-engineered RSI solves for the next price that would produce a chosen oscillator reading by combining the current price with a signed increment built from the Wilder lookback, average up change, and average down change.
- Average up and down series are formed with an exponential period of two times the Wilder lookback minus one, using only the positive one-bar price change in each direction.
- The same inversion accepts high, low, or close as the input series, so one construction can produce RSI-of-highs, RSI-of-lows, and RSI-of-close price bands without rewriting the algebra.
- Detected RSI peaks and troughs can be mapped back into price and then decayed by a recency weight so older inverted supports lose visual and numerical priority.
What reverse-engineered RSI constructs
The Relative Strength Index is a bounded oscillator built from exponentially smoothed average up and down moves over a defined lookback, then mapped back into price so a chosen reading becomes a forecasted support or resistance level. Reverse-engineered RSI is the algebraic inversion that solves for the next price consistent with a specified RSI value, using the same average-up and average-down series as the original oscillator. The inversion combines the current price with a signed increment built from the Wilder lookback, average up change, and average down change.
How the averages and increment are formed
Average up and down series are formed with an exponential period of two times the Wilder lookback minus one, using only the positive one-bar price change in each direction. When the signed increment is negative, the price increment is scaled by the complementary RSI fraction so the inverted level remains consistent with the chosen oscillator reading.
The same inversion formula accepts high, low, or close as the input series, so one construction can produce RSI-of-highs, RSI-of-lows, and RSI-of-close price bands without rewriting the algebra.
Ladders, scanners, and decayed turning points
After the oscillator has shed starting-value dependence, crossings of evenly spaced static RSI thresholds can be counted and inverted into a ladder of candidate price supports. A mechanical scanner can rank a watchlist by the nearest reverse-engineered RSI supports and flag a name when the latest completed low sits within a small percentage of one of those levels.
The decomposition method is a construction workflow that first locates RSI highs or lows, then reverse-engineers those oscillator readings into price supports or resistances. Detected RSI peaks and troughs can be mapped back into price and then decayed by a recency weight so older inverted supports lose visual and numerical priority. The figure of merit is that recency weight: it reduces the importance of older RSI peaks and troughs as they recede from the current bar.
All readings on this track · 26 readings
- 1991Constructing the relative strength index from seed and recursive averages
- 1991Inverting relative-strength-index closes for same-session rules
- 1991Seeded averages and the recursive-update
- 1993Restating relative-strength-index parameters after a smoothing change
- 1993Relative momentum construction by stretching the relative strength lookback
- 1994Constructing relative strength index lookbacks, bands, and confirmation filters
- 1994Building the relative-strength-index from signed close changes
- 1997Constructing the relative strength index as a bounded up-down close oscillator
- 2002Four-line oscillator construction for rule-based entries
- 2004Assembling a bounded RSI path
- 2004Constructing RSI on highs, lows, and reverse targets
- 2004Reverse-engineered RSI as an explicit next-bar price target
- 2006Self-adjusting RSI thresholds from the oscillator's own spread
- 2006Constructing adaptive overbought and oversold levels for a relative strength index
- 2006Relative Strength Index 50-line entry beyond the 70 and 30 extremes
- 2007Lock a followable rule set before testing RSI exits
- 2008RSI bands as a one-day shift of reverse-engineered levels
- 2008Constructing an asymmetrical RSI from adaptive up and down averages
- 2010Building a bounded oscillator from a rainbow smoother, relative strength, and inverse Fisher
- 2011Two-horizon weekly RSI with moving averages and stops
- 2011Percent-offset simple moving average bands with relative-strength confirmation
- 2011Fast and slow relative strength index as one mechanical rule book
- 2011Price-zone oscillator construction from signed closes
- 2015Constructing a zero-lag oscillator against a relative strength index baseline
- 2015Relative Strength Index as a baseline in 2015 software listings
- 2018Building a Fisherized deviation-scaled oscillator