2013issue C1134-39
The next-bar price that forces a MACD signal-line cross
MACD is the difference between two exponential moving averages of price. Because a zero histogram is the same event as the MACD line meeting its signal line, that meeting can be solved as a next-bar price and plotted on the price pane.
- MACD is the difference between a shorter-period and a longer-period exponential moving average of the input price series, with conventional lookbacks of 12, 26, and 9.
- A zero histogram is algebraically the same event as the MACD line meeting its signal line, so that event can be solved as a next-bar price.
- The implied next-bar price can be written from already known exponential averages and the two EMA weights, then plotted on the price pane.
- Rebuilding MACD from simple moving averages yields companion next-bar prices for a direction change, a two-average cross, and a signal-line cross.
What conventional MACD already contains
MACD is defined as the difference between a shorter-period and a longer-period exponential moving average of the input price series. The conventional MACD construction uses fixed lookbacks of 12, 26, and 9 for the fast average, slow average, and signal average.
The signal line is an exponential moving average of the MACD series, which is Exponential smoothing applied to MACD rather than to price, and the histogram is the spread between MACD and that signal line.
The cross as a next-bar price
A zero histogram is algebraically the same event as the MACD line meeting its signal line, which is the mapping solved for a next-bar price.
The next-bar price that forces a MACD-signal cross can be written from already known exponential averages and the two EMA weights, then plotted on the price pane.
An illustrated daily series
On the illustrated daily Apple series, a Friday close of 700.09 implied a next-session threshold of 693.546 for a MACD-signal cross.
The following session closed at 690.79, below that projected threshold, and MACD printed 15.0326 against a signal of 15.2085.
Companion prices from a Moving average rebuild
The same reverse-mapping idea applies when MACD is rebuilt from simple moving averages, yielding companion next-bar prices for a direction change, a two-average cross, and a signal-line cross. That rebuild replaces the exponential averages with Moving average lookbacks on the same price series.
In the compared window, the simple-moving-average version produced five price-threshold crosses while the exponential version produced seven.
Next-bar Apple price that forces a MACD signal-line cross

Standard 12/26/9 settings on daily closes. The function is plotted one session ahead because it is a next-bar price. Only the 21 September close and the 24 September projection are labeled on the figure; remaining points are approximate readings from the raster.
All readings on this track · 80 readings
- 1988Rebuild MACD-Mo and MACD-H before treating them as signals
- 1989Four-span MACD lookbacks as perishable parameters
- 1989Weekly then daily MACD confirmation on individual stocks
- 1991Regime-gated MACD and stochastic rules inside a checklist
- 1991Constructing MACD signal lines and divergence tests
- 1991MACD parameter order and cycle phase lag
- 1992Lengthened bond MACD as an equity regime filter
- 1992Long-horizon MACD construction from paired exponential averages
- 1993Constructing a signed ten-point trend filter
- 1994Constructing lag-reduced double exponential averages for MACD
- 1994Seeding DEMA2 filters to build a MACD signal
- 1994Constructing MACD from lag-reduced exponential averages
- 1994TEMA1 from nested exponential averages, then a two-horizon MACD
- 1994Constructing entry and exit on a relative-strength MACD
- 1994Constructing a relative-strength MACD crossover spreadsheet
- 1995Consensus presignal filters for Relative Strength Index, MACD and the Stochastic oscillator
- 1997Confirm the MACD turn with price, then exit on the histogram
- 1997Reconstructing a stochastic oscillator, MACD, and a triple-smoothed oscillator
- 1997Moving-average windows before crossovers and MACD
- 1999Second-stage MACD on relative-strength inputs
- 1999Constructing MACD from exponential-average spreads for crossover and divergence
- 1999Coding candlesticks into numeric indicators
- 2001Second-low confirmation with a percentage oscillator and money-flow filter
- 2001Constructing MACD from exponential average spreads and a signal line
- 2002Separate bounded and trend-following oscillator rules
- 2002Sort the regime before assigning MACD and stochastic jobs
- 2002Building classic divergence filters from RSI and MACD
- 2002Weekly highs and lows as trend gates
- 2002Constructing channel-normalized Fisher reversal signals
- 2002Affine-price and the Fisher transform as a constructed companion to MACD
- 2003Regularized EMA construction with a MACD line and a thrust oscillator
- 2003Curvature-penalized exponential averages versus MACD
- 2003MACD, moving averages, and a trend filter as one timing system
- 2003Fractional MACD and linear-regression reversal construction
- 2004Weekly MACD-histogram timing of bear-market rallies
- 2004Candlestick triggers filtered by MACD divergence
- 2004Staging energy-complex tops with trendline, breakout, and MACD
- 2005Selling climax holds versus fails
- 2006Treat a sideways Wave as permission before a breakout
- 2007MACD with a Stochastic oscillator for spotting trend reversals
- 2007Rebuilding an S&P 500 fifth-wave count after a broken target
- 2007Constructing MACD, RSI, and stochastic confirmation for futures
- 2007MACD histogram divergence needs a confirming close
- 2007Write the plan as a stack: ratio, boundary, then oscillators
- 2008MACD divergence and Stochastic oscillator confirmation on lumber futures
- 2008Assign confirmation, timing, and a stop before a currency pair is tested
- 2008Confirm the ten-bagger launch path before the MACD exit
- 2008Reading the offloaded evidence file
- 2008A Leader companion for MACD direction warnings
- 2008Relative strength exits with MACD averages and RSI
- 2008Assign one job per indicator in a three-screens rule set
- 2008Sequencing RSI, MACD, and average crossovers
- 2010Constructing the Schaff Trend Cycle from MACD and a dominant-cycle window
- 2010Schaff Trend Cycle as a MACD and Stochastic oscillator combination
- 2010Combining Relative Strength Index, the stochastic oscillator, and MACD as slope filters
- 2010Short-term wave and ratio clues without direction calls
- 2010A precise pullback entry and an unplanned profit-protection exit
- 2010Filtering MACD false signals with trendline breaks
- 2011Vendor feeds as an input variable in a MACD evaluation
- 2012Out-of-the-money versus in-the-money option sensitivity to implied volatility
- 2012MACD window tuning as hold-time control
- 2012Combining a moving-average crossover with MACD and support-resistance
- 2012Testing a published MACD entry with a histogram and signal-line agreement filter
- 2012Treat sample systems as a lab before live rules
- 2013Constructing moving averages and MACD from one price series
- 2013The next-bar price that forces a MACD signal-line cross
- 2013Constructing next-bar MACD reversal prices
- 2013Constructing inverted MACD reversal prices
- 2014Shared-filter combinations of the stochastic oscillator, MACD, and RSI
- 2014Square-root lookbacks for combined MACD and RSI
- 2015Audit open interest and trend before trusting oscillator crossovers
- 2016MACD without a signal line, confirmed by moving-average trend filters
- 2016Use RSI, MACD, and a moving average as a market-health consensus
- 2016MACD line versus histogram is a display problem first
- 2017Weekly and daily MACD on a single daily chart
- 2017Weekly and daily MACD as a stacked momentum filter
- 2017Nested weekly and daily MACD from paired EMA spreads
- 2018Weekly and daily PPO scale versus MACD, with bounded RSI and stochastic readings
- 2018Constructing a weekly and daily percentage price oscillator
- 2020Constructing Wyckoff tape reading with MACD, moving-average, and RSI filters