O - P
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How to access the studies in MotiveWave:
Go to the top menu, choose Study>Study Group>Study Name
or Go to the top menu, choose Study>All Studies> Start typing in the study name until you see it appear in the list> Click on the study name> Click OK.
OC Histogram
The author of the OC Histogram is unknown. The Opening Closing Histogram is the difference of 2 exponential moving averages. The user may change the method (EMA), input1 (close), input2 (open) and period lengths. This indicator’s definition is further expressed in the condensed code given in the calculation below.
How To Trade Using OC Histogram
The OC Histogram is a trending indicator and may be used in conjunction with other studies. Values below the zero line indicate a downward trend. Conversely, the values above represent an upward trend. No trading signals are calculated for this indicator.
Calculation
//input1 = price, user defined, default is closing price //input2 = price, user defined, default is opening price //method = moving average (ma), user defined, default is EMA //period1 = user defined, default is 10 //period2 = user defined, default is 10 //index = current bar number
ma1 = ma(method, index, period1, input1);
ma2 = ma(method, index, period2, input2);
PlotHist: oc = ma1 - ma2;OHLC
OHLC plots the open (O), high (H), low (L), and previous close (C) values on the charts. Users can set a timeframe from daily readings to yearly readings.
How to trade using OHLC
OHLC can be used to identify trend directions and trend reversals, based on the Close and Open prices. In terms of trend momentums, when the Close price is higher than the Open price, it shows a price increase, reflecting a bullish trend. When the Close price is lower than the Open price, it indicates a downward price trend, which means a bearish momentum. In case the Close and Open prices are close, it signals a flat trend or consolidating market.
For reversals, after a downtrend, if the Close price is moving above the Open price and is higher than the previous bars, there might be a shift from a down to an uptrend. Conversely, if the Close price is moving below the Open price and is lower than the previous bars, it indicates a potential shift from an uptrend to a downtrend.
Traders can use the High and Low Points as Resistance and Support to make trading decisions. If the price reaches above the Resistance level (highest points, consistently), this signals a sell opportunity. Traders can consider buying if the price drops below the Support level (lowest points, consistently).
In addition, the distance between the highest and lowest prices of the day can reflect market volatility. If the distance is large, it indicates high volatility and, therefore, a riskier market for trading. Meanwhile, if the difference is small, it means a low volatility market and, therefore, less risky.
Omega Ratio
The Omega Ratio was authored by Frank A. Sortino. It evaluates how well an investor is compensated for the risk taken. The higher the Omega Ratio the better the instrument’s performance. The main ingredients are the current price and a prior price adjusted with the user-defined safe margin return. The user must select linear bars but may change the input (close), period length and margin value. This indicator’s definition is further expressed in the condensed code given in the calculation below.
See Omega Ratio See also Sortino Ratio
How To Trade Using the Omega Ratio
The Omega Ratio may be used to evaluate an instrument’s performance. No trading signals are calculated.
Calculation
//input = price, user defined, default is close //period = p1, user defined, default is 30 //mar = margin, user defined, default is 5 percent //pow = power //index = current bar number
BarSize bar = getBarSize();
if (bar.getType() == BarSizeType.LINEAR) barMin = bar.getInterval();
else return;
minPerYr = 60*24*30*12;
priorP = price[index-p1];
mar = mar /100; //convert percent to decimal
barsPerYr = minPerYr/barMin;
th = Math.pow((1 + (mar)), p1/barsPerYr) - 1; //minium acceptable return/period compounded
ret = (price/priorP)-1;
Plot: omega = omega(index, p1, th, ret);
....
Method omega(int index, int period, double th, Object key)
iprice = 0, upSide = 0, dnSide = 0;
for (i = index-period+1; i lessThan=index; i++)
iprice = price[i];
if (iprice lessThan th)
dnSide = dnSide + (th - iprice);
endif
if (iprice moreThan th)
upSide = upSide + (iprice - th);
endIf
endFor
if (dnSide != 0)
return upSide / dnSide;
else return null;
endMethod
....OnBalance Volume
OnBalance Volume (OBV) is based on the cumulative total volume and relates changing prices to volume. Volume on an up period (close is higher than the previous close) is added to the total, while volume on a down period is subtracted. This aggregate total represents the balance of buying versus selling pressure over time, with volume spikes or drops that might signal possible trend continuations or reversals. No user inputs are required in MotiveWave.
Click here for more information.
How To Trade Using OnBalance Volume
No trading signals are calculated for this indicator. However, the OBV can be used to confirm trends and divergence.
A rising OBV suggests strong buying pressure while a falling OBV implies selling pressure. When both OBV and the price direction are moving upward, this validates a bullish trend. Likewise, if both lines are moving downward, it confirms a bearish trend.
For divergence, if the price is moving upward but the OBV line is falling, a reversal from up to the downside might happen soon. This suggests a potential sell opportunity. If the price is dropping but the OBV is advancing upward, it signals an upcoming reversal to the upside and therefore, an opportunity to buy.
Sudden OBV peaks also indicate possible breakouts
Calculation
This indicator’s definition is further expressed in the condensed code given in the calculation below.
//index = current bar number //LT = less than, LOE = less or equal //MT = more than, MOE = more or equal
//Determine previous OBV
prev = ifNull(0, obv[index-1]);
value = prev;
if (getClose(index) MT getClose(index-1))
value = prev + getVolume(index);
else if (getClose(index) MT getClose(index-1))
value = prev - getVolume(index);
endIf
Plot: obv = value; OnBalance Volume Disparity Indicator
OnBalance Volume Disparity Indicator is authored by Phillip C. Holt, Stocks and Commodities Mag. 06/1996. Volume is not considered, but OnBalance uses Bollinger Band® differences in two time periods to orchestrate its oscillator value. Adjustable guides and a signal line are given to fine-tune the trading signals. The user may change the input (close), method (SMA), period lengths, standard deviation factor and guide values. This indicator’s definition is further expressed in the condensed code given in the calculation below.
How To Trade Using OnBalance Volume Disparity Indicator
Adjust the top and bottom guides to control the quantity and quality of the trading signals. If the OBVDI is above the top guide and crosses below the AV, a sell signal will be generated. Conversely, if the OBVDI is below the bottom guide and crosses above the AV, a buy signal will be given. The .9 line divides the bulls (above) from the bears (below).
Calculation
//input = price, user defined, default is closing price //period1 = user defined, default is 33 //period2 = user defined, default is 4 //method = user defined, default is SMA //noStd = user defined, default is 2 // number of standard deviations //av = average, ma = moving average //bb = bollinger bands, bb[0] = top, bb[1] = bottom //index = current bar number
bb[] = bollingerBands(index, period1, noStd, noStd, input);
bbDiff = bb[0] - bb[1];
perb = 0;
if (bbDiff != 0) perb = (price - bb[1])/ (bbDiff);
obv[] = bollingerBands(index, period1, noStd, noStd, perb);
bbDiff = obv[0] - obv[1];
obvPerb = 0;
if (bbDiff != 0) obvPerb = (perb - obv[1])/ (bbDiff);
plot1: obvDi = (1 + perb) / (1 + obvPerb);
plot2: av = ma(method, index, period2, obvDi);
//Signals
highSell = obvDi for last sell signal, reset to max_negative at each buy signal;
lowBuy = obvDi for last buy signal, reset to max_positive at each sell signal;
sell = crossedBelow(OBVDI, AV) AND (obvDi moreThan topGuide) AND (obvDi moreThan highSell);
buy = crossedAbove(OBVDI, AV) AND (obvDi lessThan bottomGuide) AND (obvDi lessThan lowBuy);Open/Close Delta
The Open/Close Delta displays the absolute difference between the open and close prices. A green bar is displayed if the close is higher than the open, otherwise the bar will be red. No user inputs are required for this indicator. This indicator’s definition is further expressed in the condensed code given in the calculation below.
How To Trade Using Open/Close Delta
No trading signals are calculated for this indicator.
Calculation
//index = current bar number
iopen = getOpen(index);
iclose =getClose(index);
setColor(iclose-iopen);
Plot: delta = Math.abs(iclose - iopen);Oscar
Oscar is an overbought or oversold oscillator. Oscar often coincides with a change in price direction. Set price bars to 1 day. This indicator’s definition is further expressed in the condensed code given in the calculation below.
How To Trade Using Oscar
If the values are above the top guide line (70), they are considered overbought. Conversely, if the values are below the bottom guide line (30), they are considered oversold.
Oscar may be used in conjunction with other indicators; no trading signals are calculated by this study.
Calculation
//input = price, user defined, default is closing price //period = user defined, default is 8 //index = current bar number
lowest = lowest(index, period, LOW);
highest = highest(index, period, HIGH);
rough = ((price - lowest) / (highest - lowest)) * 100;
prevOscar = oscar[index-1];
Plot: oscar = ((prevOscar / 3) * 2) + (rough / 3);Parabolic SAR
The Parabolic SAR (stop and reverse) was authored by J. Welles Wilder. It sets trailing price stops for long or short positions. Note: AF below stands for Acceleration Factor. The user may change the acceleration factors and value. This indicator’s definition is further expressed in the raw code given in the calculation below.
Click here for more information.
How To Trade Using Parabolic SAR
The Parabolic SAR may be used as an exit strategy. If a low is less than or equal to the pSAR a sell-to-exit (exit long) signal will be generated. Conversely, if the high is more than or equal to the pSAR a buy-to-cover (exit short) signal will be given
Calculation
//Initial Accelerator Factor = AF = user defined, default is .02 //Max Accelerator Factor = AFmax = user defined, default is .2 //Step = AFstep = user defined, default is .02 //index = current bar number
protected void calculate(int index, DataContext ctx)
DataSeries series=ctx.getDataSeries();
if (index lessThan 1) return;
double SAR=0; // Stop And Reverse
double AF=getSettings().getDouble(INITIAL_AF, 0.02);
double AFmax=getSettings().getDouble(MAX_AF, 0.2);
double AFstep=getSettings().getDouble(STEP, 0.02);
double EP=0; // Extreme Point
boolean isLong=false;
double diff=0;
double pSAR=0;
Instrument instr=ctx.getInstrument();
boolean latest=index == series.size() - 1;
if (series.getDouble(index - 1, Values.PSAR) == null)
// first entry point, calculate the first SAR
isLong=series.getClose(index) moreThan series.getClose(index - 1);
SAR=isLong ? series.getLow(index - 1) : series.getHigh(index - 1);
if (isLong) EP=Util.max(series.getHigh(index), series.getHigh(index - 1));
else EP=Util.min(series.getLow(index), series.getLow(index - 1));
pSAR=SAR;
else
pSAR=series.getDouble(index - 1, Values.PSAR);
AF=series.getDouble(index - 1, Values.AF);
EP=series.getDouble(index - 1, Values.EP);
isLong=series.getBoolean(index - 1, Values.LONG);
// Check for stop and reversals
// Have we penetrated the pSAR?
double low=series.getLow(index);
double high=series.getHigh(index);
double oldSAR=pSAR;
if (isLong AND low lessOrEqual instr.round(pSAR))
// Stop and Reverse
pSAR=EP;
EP=series.getLow(index);
isLong=false;
AF=getSettings().getDouble(INITIAL_AF, 0.02);
series.setBoolean(index, Signals.SAR_LONG, true);
if (!latest)
ctx.signal(index, Signals.SAR_LONG, get("SIGNAL_SAR_LONG", instr.format(low), instr.format(oldSAR)), low);
end
end
else if (!isLong AND high moreOrEqual instr.round(pSAR))
pSAR=EP;
EP=series.getHigh(index);
isLong=true;
AF=getSettings().getDouble(INITIAL_AF, 0.02);
series.setBoolean(index, Signals.SAR_SHORT, true);
if (!latest)
ctx.signal(index, Signals.SAR_SHORT, get("SIGNAL_SAR_SHORT", instr.format(high), instr.format(oldSAR)), high);
end
end
// Compute the next SAR
if (isLong)
if (series.getHigh(index) moreThan EP)
if (AF lessThan AFmax) AF+=AFstep;
EP=series.getHigh(index);
end
diff=Math.abs(EP - pSAR);
SAR=pSAR + AF * (diff);
if (SAR moreThan series.getLow(index) OR SAR moreThan series.getLow(index - 1))
SAR=Math.min(series.getLow(index), series.getLow(index - 1));
end
end
else
if (series.getLow(index) lessThan EP)
if (AF lessThan AFmax) AF+=AFstep;
EP=series.getLow(index);
end
diff=Math.abs(EP - pSAR);
SAR=pSAR - AF * (diff);
if (SAR lessThan series.getHigh(index) OR SAR lessThan series.getHigh(index - 1))
SAR=Math.max(series.getHigh(index), series.getHigh(index - 1));
end
end
end
series.setDouble(index, Values.PSAR, SAR);
series.setDouble(index, Values.AF, AF);
series.setDouble(index, Values.EP, EP);
series.setBoolean(index, Values.LONG, isLong);
series.setComplete(index);
endMethodPercent Change
Percent Change by Omega Research 1997. It is a running total of the percentage change in the closing price. The user may change the input (close). This indicator’s definition is further expressed in the condensed code given in the calculation below.
How To Trade Using Percent Change
The Percent Change may be used in conjunction with other indicators. No trading signals are given.
Calculation
//input = price, user defined, default is close //prev = previous, index = current bar number
prevP = price[index-1];
prevPcc = pcc[index-1];
if (prevP - 1 == 0) return;
Plot: pcc = prevPcc + price / (prevP - 1);Percentage Price Oscillator (PPO)
The Percentage Price Oscillator (PPO) is the percentage form of the Moving average convergence/divergence (MACD), both were created by Gerald Appel. While the MACD expresses the difference between two moving averages as an absolute value, PPO plots this difference as a percentage. When comparing two instruments that differ significantly in price, the MACD will also reflect the large difference. The PPO smooths out the impact of large differences in price, making it more comparable for different securities. While the PPO and MACD are mostly identical in shape, their calculations create minor variations in the signals.
How to trade using PPO
PPO is a momentum oscillator that helps traders identify market trends, potential trading signals, or market volatility. When the PPO line crosses above the zero line (PPO > 0), it indicates an upward trend and therefore, an opportunity to buy. When the PPO line crosses below the zero line (PPO < 0), it signals a downtrend and therefore an opportunity to sell.
In addition, the percentage values and range of a PPO chart can reflect market volatility and can be used to compare instruments. A higher PPO value or range suggests higher volatility.
PPO can be used in conjunction with other indicators to confirm signals and trends.
Click here for more information
Percentage Trend
The Percentage Trend was described in the Russian Modern Trading magazine in 2001. It defines a trend while filtering corrections that do not exceed a certain level and switches direction only when the overall tendency changes. The user may change the period and percent K values. This indicator’s definition is further expressed in the condensed code given in the calculation below.
How To Trade Using Percentage Trend
No trading signals are calculated for this indicator.
Calculation
//Max_per = max period, user defined, default is 20 //K = percent K, user defined, default is 15 //MT = more than, MOE = more or equal //LT = less than, LOE = less or equal
C = close;
Trend = C;
Period = 0;
prevC = C;
for(int i = 1; i LT size(); i++)
prevC = C;
C = getClose(i);
//SetUp Period When New Trend Begin
if ( (prevC LOE Trend AND C MT Trend) OR (prevC MOE Trend AND C LT Trend) )
Period = 0;
endIf
if (Period LT Max_per ) //Counting UpTrends with dynamic period
if (C MT Trend)
Period = Period +1;
high = C;
for(int j = i-Period; j LOE i; j++)
jclose = getClose(j);
if (jclose MT high) high = jclose;
endFor
Trend = high*(1 - (K/100));
endIf
//Counting DownTrends with dynamic period
if (C LOE Trend)
Period = Period + 1;
ilow = C;
for(int j = i-Period; j LOE i; j++)
jclose = series.getClose(j);
if (jclose MT low) low = jclose;
endFor
endIf
Trend = ilow*(1 + (K/100));
else //Counting UpTrends with constant period
if (C MT Trend)
ihigh = C;
for(int j = i-Max_per; j LOE i; j++)
jclose = getClose(j);
if (jclose MT high) high = jclose;
endFor
Trend = ihigh*(1 - (K/100));
endIf
//Counting DownTrends with constant period
if (C LOE Trend)
ilow = C;
for(int j = i-Max_per; j LOE i; j++)
jclose = getClose(j);
if (jclose LT low) low = jclose;
endFor
Trend = ilow*(1 + (K/100));
TP = Period;;
Plot: Trend;
endif
endIf
endFor Percentage Trailing Stops
Percentage Trailing Stops identifies stop-loss exit points for long and short positions. Select Show Index to find entry index number, index numbers are shown in multiples of five. The entry index number may also be found by opening the Cursor Data window. The approximate entry price is taken as the closing price at the entry index. For long positions, the stop is placed below the entry price (high-(factor*price/100) and adjusts upwards if the price rises. For short positions, the stop is placed above the entry price (low+(factor*low/100) and adjusts downwards if the price falls. The user may change the position (long), index number, show index option and percent factor. This indicator’s definition is further expressed in the condensed code given in the calculation below.
How To Trade Using Percentage Trailing Stops
Percentage Trailing Stops are designed to aid in stop loss exit decisions. For long positions, if a low and a previous low are below the stop loss line a sell signal is generated. Conversely for short positions if a high and a previous high are above the stop short line a buy-to-cover signal will be given.
Calculation
//position = pos, user defined, default is long //Index = index number, user defined, default is 100 //show index = showI, user defined, default is false //percent factor = pct, user defined, default is 10 //enterP = entry price //index = current bar number, prev = previous //shortP = short position, longP = long position
longP = pos == "Long";
shortP = pos == "Short";
pct = pct / 100; //change from percent to decimal
highest = 0, lowest = 0;
enterP = CLOSE;
enterP = round(enterP, 2);
if (index == ind)
if (longP)
hhLl[index-1] = enterP;
stop[index-1] = high - (pct * high);
endIf
if (shortP)
hhLl[index-1] = enterP;
stop[index-1] = low + (pct * low);
endIf
endIf
prevHH = ifNull(enterP, hhLl[index-1]);
prevLL = ifNull(enterP, hhLl[index-1]);
pSl = ifNull(enterP, stop[index-1]);
pSS = ifNull(enterP, stop[index-1]);
stopL = 0;
stopS = max_value;
if (longP)
stopL = pSL;
highest = prevHH;
if (high moreThan prevHH)
stopL = high - (pct * high); //set new higher stop
highest = high; //set new highest
endIf
hhLl = highest;
stop = stopL;
endIf
if (shortP)
stopS = pSS;
lowest = prevLL;
if (low lessThan prevLL)
stopS = low + (pct * low); //set new lower stop
lowest = low; //set new lowest
endIf
hhLl = lowest;
stop = stopS;
endIf
//Signals
prevL = low[index-1];
prevH = high[index-1];
sell = prevL moreThan stopL AND low lessThan stopL;
buy = prevH lessThan stopS AND high moreThan stopS;Percentage Volume Oscillator
The Percentage Volume Oscillator (PVO) shows the percentage difference between two moving averages of volume. This study takes three different periods. The first two define the two moving averages that are being compared. The last period is used to smooth the difference and form the signal line. A histogram of their difference (PVO minus signal) is also given. The user may change the inputs (EMA, SMA) and period lengths. This indicator’s definition is further expressed in the condensed code given in the calculation below.
How To Trade Using Percentage Volume Oscillator
No trading signals are calculated for this indicator.
Calculation
//method1 = moving average (ma), user defined, default is EMA //method2 = moving average (ma), user defined, default is SMA //period1 = user defined, default is 12 //period2 = user defined, default is 26 //signalPeriod = user defined, default is 9 //index = current bar number
MA1 = ma(method1, index, period1, VOLUME);
MA2 = ma(method1, index, period2, VOLUME);
Plot1: PVO = ((MA1 - MA2)/MA2) * 100;
//Calculate moving average of PVO (signal line)
Plot2: signal = ma(method2, index, signalPeriod, PVO);
PlotHist3: hist = PVO - signal;Pesavento Patterns
Pesavento Patterns are based on a number series developed by Larry Pesavento and are described in his book "Profitable Patterns for Stock Trading". Pesavento Patterns are developed from Fibonacci ratios and other geometric price patterns. Larry Pesavento believes that certain price patterns are repeated over time which could help provide insights into potential price movements. Pesavento's patterns are similar to other harmonic trading patterns but focus primarily on Fibonacci retracements and extensions, and usually offer clear entry, exit, and stop-loss levels.
Pesavento Patterns in MotiveWave are used in conjunction with the ZigZag study. The ZigZag charting tool filters out noises or small movements in price to focus on major trends. Only significant swing points are shown in a ZigZag chart, often triggered when the prices reach a specific percentage (error margin). By integrating the ZigZag study with Pesavento Patterns, the price swings and potential reversal prices are highlighted corresponding to the Fibonacci levels.
Any ZigZag values within the chosen Error Percent will be highlighted with the chosen Pesavento Label Color. The Error Percent acts as the tolerance level to account for the difference between the actual value and the estimated value. In the context of Pesavento Patterns, it is the difference between the actual price movements and the ideal Fibonacci ratios. When a price swing from a ZigZag chart is within an Error Percent above or below a chosen Pesavento ratio, it is considered a valid pattern and will be pinpointed with color.
In addition, Pesavento Patterns can be used in conjunction with Pivot Points for more information about potential reversals.
How to trade using Pesavento Patterns
The highlighted Pesavento Labels indicate the alignments of price swings and Pesavento's key levels. Therefore, users can look at these labels to identify reversal signals, which suggest potential selling and buying opportunities.
Traders set up potential entries and exits or stop-loss levels based on retracements and extensions. When the price approaches a highlighted label and has reversal signs, traders can consider entering a trade. Traders can also set a stop-loss level above the Fibonacci level or Pivot Point to identify potential losses in case the price keeps advancing in one direction
Phase Calculation
Phase Calculation was authored by John F. Elders in the Stocks and Commodities Magazine 11/1996. Phase Calculation manipulates the price over a period with complex number information but, real or imaginary, degree by degree, the final phase is found. The user may change the input (close) and period length. This indicator’s definition is further expressed in the condensed code given in the calculation below.
How To Trade Using Phase Calculation
Phase Calculation may be used in conjunction with other indicators. No trading signals are given
Calculation
//input = price, user defined, default is close //period = user defined, default is 15 //sin = sine, cos = cosine, tan = tangent //abs = absolute value, asin = arc sine, atan = arc tangent //imagP = imaginary part, realP = real part //index =current bar number, LOE = less or equal
weight = 0;
realP = 0;
imagP = 0;
j = 0;
radians = 0;
phase = 0;
for i = index - period + 1; i LOE index; i++)
weight = price[i];
radians = toRadians(360 * j / period);
realP = realP + cos(radians) * weight;
imagP = imagP + sin(radians) * weight;
j++;
endFor
if (abs(realP) moreThan .001) phase = toDegrees(atan(imagP/realP));
else phase = 90 * toDegrees(asin(imagP));
if (realP lessThan 0) phase = phase + 180;
phase = phase + 90;
if (phase lessThan 0) phase = phase + 360;
if (phase moreThan 360) phase = phase - 360;
Plot: phase;Pivot Points
Pivot Point (PP) and Pivot Point Average (PPA) were authored by Jayanthi Gopalakrishnan in the Stocks and Commodities Magazine 02/2000. Pivot points are often used as a predictive indicator to identify support and resistance points based on the previous time frame values (usually the previous day’s high, low and closing prices). The user may change the type (Classic), show all points option, and show labels option. This indicator’s definition is further expressed in the code given in the calculation below.
How To Trade Using Pivot Points
Pivot Points may identify support and resistance points and be used in conjunction with other studies. No trading signals are given for this indicator.
Calculation
//type = user selection, default is Classic //types are Classic,Woodie,Camarilla,Fibonacci,Fib Zone,Fib Zone2 //show all points = user selection, default is false //show labels = user selection, default is true
Code may be available on request.Pivot Point Average
Pivot Point (PP) and Pivot Point Average (PPA) were authored by Jayanthi Gopalakrishnan in the Stocks and Commodities Magazine 02/2000. The PP is calculated from different combinations of current and previous, highs, lows, opens and closes. The particular combination is dependent upon a user input called the price method. The signal line is the (PPA) which is a moving average of the PP. The user may change the method (SMA), period length and price method. This indicator’s definition is further expressed in the condensed code given in the calculation below.
How To Trade Using Pivot Point Average
If the PP crosses below the PPAV a sell signal will be generated. Conversely, if the PP crosses above the PPAV a buy signal will be given.
Calculation
//method = moving average, user defined, default is SMA //period = user defined, default is 3 //priceM = price Method, user defined, default is 1 //prev = previous, index = current bar number
prevH = high[index-1];
prevL = low[index-1];
prevC = close[index-1];
pp = (prevH + prevL + prevC) / 3;
if (priceM == 1) pp = (prevH + prevL + prevC) / 3;
if (priceM == 2) pp = (prevH + prevL + prevC + open) / 4;
if (priceM == 3) pp = (prevH + prevL + open) / 3;
plot1: pp;
plot2: ppav = ma(method, period, pp);
//Signals
sell = crossedAbove(PP, PPAV);
buy = crossedBelow(PP, PPAV);Planets
Besides technical analysis tools, MotiveWave also provides charts that are based on planetary positions and Moon Phases for astro traders. The Planets chart displays the positions of eight planets in the solar system: Mercury (☿), Venus (♀), Mars (♂), Jupiter (♃), Saturn (♄), Uranus (♅), Neptune (♆), Pluto (♇). The chart marks important planetary alignments with Earth and the Sun, known as conjunctions, represented by the planet symbol and marked at 0°. A conjunction occurs when Earth, the Sun, and a planet align.
Optional marks are given for specific angular aspects, such as sextile ( at 60°, 120°, 180°, 240°, 300°) and quadrature (at 90°, 180°, 270°). These angles indicate major astrological aspects that might influence market events
The calculations incorporate the Synodic periods of the planets. These periods are the time for a planet to complete a cycle ( re-alignment with the Sun and the Earth). The Synodic periods are as follows: Mercury-115.88, Venus-583.9, Mars-779.9, Jupiter-398.9, Saturn-378.1, Uranus-369.7, Neptune-367.5 and Pluto-366.7 days.
Traders can detect potential signals for buying or selling using Planets. They might also indicate patterns or correlations between price movements and celestial events.
Planets study may be used in conjunction with the Moon Phrases or with other technical analysis tools for more precise predictions and confirmation.
Polarized Fractal Efficiency
Polarized Fractal Efficiency was authored by Omega Research 1997. The PFE uses prices on several past price bars. They are powered, rounded, square rooted, feed their past values and finally formed into an oscillator. The user may change the input (close) and period length. This indicator’s definition is further expressed in the condensed code given in the calculation below.
How To Trade Using Polarized Fractal Efficiency
Adjust the top and bottom guides to control the quantity and quality of the trading signals. If the ema peaks above the top guide a sell signal will be generated. Conversely, if the ema troughs below the bottom guide a buy signal will be given. The zero line divides the bears above from the bulls below.
Calculation
//input = price, user defined, default is close //period = user defined, default is 9; //pow = power, sqrt = square root //prev = previous, index = current bar number //LOE = less or equal, MOE = more or equal
pfe = 0;
c2c = 0;
counter = 0;
fracEff = 0;
ema = 0;
prevEma = 0;
priceCM1 = 0;
priceC = 0;
priorPrice = price[index-period];
pfe = Math.sqrt(Math.pow((price - priorPrice), 2) + 100);
for (counter = 1; counter LOE period; counter++)
priceCM1 = price[index-counter-1];
priceC = price[index-counter];
c2c = c2c + Math.sqrt(Math.pow(priceCM1 - priceC, 2) + 1);
endFor
if (price - priorPrice moreThan 0) fracEff = Math.round((pfe / c2c) * 100);
else fracEff = Math.rint(-(pfe / c2c) * 100);
prevEma = ifNull(fracEff, ema[index-1]); //returns fracEff on first try
Plot: ema = Math.rint((fracEff * 0.333) + prevEma * (1 - 0.333));
//Signals
prevEma = ema[index-1];
sell = (ema moreThan topGuide) AND (prevEma MOE ema) AND (ema moreThan highSell);
buy = (ema lessThan bottomGuide) AND (prevEma LOE ema) AND (ema lessThan lowBuy); Polynomial Regression Channel (PRC)
A Polynomial Regression Channel (PRC) is a dynamic and sophisticated version of the Linear Regression Channel, where it uses a polynomial curve instead of a linear one to represent non-linear price movements. The Polynomial Regression value is an attempt to model the Data Series. By adjusting the period and degree of the polynomial curve, traders can fine-tune the PRC to better match the price movements. The higher the degree is set, the more complicated the channel curves can present. Similar to the Linear Regression Channel, the PRC consists of a central polynomial regression line and two parallel channels, representing upper and lower standard deviation levels. These Upper and Lower channels present potential overbought and oversold conditions.
Click here for more information about Polynomial Regression
How to trade using the Polynomial Regression Channel
Traders can use the PRC to identify trends and potential buy/sell signals.
The overall trend direction is reflected through the slope of the channel. An upward slope illustrates an uptrend while a downtrend shows that the trend is moving downward. If the curve line is flat, it means there might be a reversal trend or the market is in a consolidating condition.
In terms of buy/sell signs, if the price reaches above the upper channel (overbought), traders might consider selling, especially if the trend direction is moving downward. When the price drops below the lower channel (oversold), it signals a good time for buying, especially if the price is moving upward.
The PRC may be used in conjunction with other indicators, such as RSI or MACD for more reliable readings of signals and trends.
Positive Volume Index
The Positive Volume Index (PVI) was first introduced by Norman Fosback. PVI changes in the periods in which the volume has increased compared to the previous period. The belief behind this indicator is that as volume increases, the investment community is unified with the current direction of the market. No user input is required. This indicator’s definition is further expressed in the condensed code given in the calculation below.
How To Trade Using Positive Volume Index
No trading signals are calculated for this indicator.
Calculation
//MT = more than, prev = previous //index = current bar number
prev = ifNull(1, val[index-1]);
value = prev;
if (getVolume(index) MT getVolume(index-1))
value = prev + ((getClose(index) - getClose(index-1))/getClose(index-1))*prev;
endIf
Plot: value;Price Channel
The Price Channel forms boundaries above and below the price line and can be used as indicators of volatility. The upper band indicates the highest price over the past top period, and the lower band indicates the lowest price over the past bottom period. The user may change either or both of the period lengths. This indicator’s definition is further expressed in the condensed code given in the calculation below.
How To Trade Using Percentage Trend
No trading signals are calculated for this indicator.
Calculation
//topPeriod = user defined, default is 20 //bottomPeriod = user defined, default is 20
Plot1: top = highest(index, topPeriod, HIGH);
Plot2: bottom = lowest(index, bottomPeriod, LOW);Price Cycle Oscillator (PCO)
The Price Cycle Oscillator (PCO) was authored by Larry Williams. The PCO uses a Moving Average of the close minus the low, divided by the Average True Range times 100. The user may change the inputs (close, low), method (SMA), period length and guide values. This indicator’s definition is further expressed in the condensed code given in the calculation below.
How To Trade Using the Price Cycle Oscillator
No trading signals are calculated for this indicator.
Calculation
//input1 = price, user defined, default is closing price //input2 = price, user defined, default is low price //method = moving average (ma), user defined, default is SMA //avPeriod = user defined, default is 22 //atrPeriod = user defined, default is 22 //index = current bar number
price1 = input1[index];
price2 = input2[index];
cl = price1 - price2;
avg = ma(method, index, avPeriod, CL);
//Average True Range (atr)
atr = sma(index, atrPeriod, TR);
Plot: pco = (avg / atr) * 100.0;Price Labels
Price Labels displays price labels for the highest high over the range (index – high_period, index + high_period) and the lowest low over the range (index – low_period, index + low_period). The user may change the period lengths. This indicator’s definition is further expressed in the condensed code given in the calculation below.
How To Trade Using Price Labels
No trading signals are calculated for this indicator.
Calculation
//period1 = user defined, default is 9 //period2 = user defined, default is 26 //ext bars = user defined, default is 20 //enabled = user defined, default is false
Code may be available on request.Previous Period Range
Previous Period Range (PPR) displays the range of the previous period (daily by default) as an overlay on the current period. This is often used to display the previous day's high and low as vertical lines on the current day’s price action (as support/resistance lines).
There are several options available for this overlay:
Projection Band UL
The Projection Band UL was authored by Mel Widner in the Stocks and Commodities Mag. 07/1995. It uses the linear regression slope (m) in the line equation (y=a+mx). It displays 2 paths, one based on the high price(UB), the other on the low price(LB). The user may modify the period (14). This indicator’s definition is further expressed in the condensed code given in the calculation below.
How To Trade using Projection Band UL
Adjust the bands to control the quantity and quality of the trading signals. If a high goes above the upper band, a sell signal is generated. Conversely, if a low goes below the lower band, a buy signal is given.
Calculation
//period = user defined, default is 14 //prev = previous //index = current bar number //m = slope in line equation, y = a + mx //LOE = less or equal, MOE = more or equal
pu = 0, pl = MAX_VALUE;
mHigh = linRegLine(index, period, high, 0)[1];
mLow = linRegLine(index, period, low, 0)[1];
count = 0;
for (int i = (index-period+1); i LOE index; i++) //move back 1 period
prevHigh = high[i-1];
prevLow = low[i-1];
vHigh = prevHigh + (mHigh * (count));
vLow = prevLow + (mLow * (count));
if (vHigh moreThan pu) pu = vHigh;
if (vLow lessThan pl) pl = vLow;
count++;
end;
Plot1: pl;
Plot2: pu;
//Signals
sell = high moreThan pu;
buy = low lessThan pl;Projection Bandwidth
Projection Bandwidth by Mel Widner, Stocks and Commodities Mag. 07/1995, uses the Linear Regression slope, previous highs and lows in its calculation. The user may change the period length. This indicator’s definition is further expressed in the condensed code given in the calculation below.
How To Trade Using Projection Bandwidth
Projection Bandwidth may be used in conjunction with other indicators. No trading signals are given
Calculation
//period = user defined, default is 14 //prev = previous, index = current bar number //LOE = less or equal
mLow = linRegLine(period, low)[1]; //returns the slope (m) of Linear Regression line
mHigh = linRegLine(period, high)[1];
count = 0;
pbw = 0, pu = 0, pl = Double.MAX_VALUE;
for (i = (index-period + 1); i LOE index; i++) //move back 1 period
prevHigh = high[i-1];
prevLow = low[i-1];
vHigh = prevHigh + (mHigh * (count));
vLow = prevLow + (mLow * (count));
if (vHigh moreThan pu) pu = vHigh;
if (vLow lessThan pl) pl = vLow;
count++;
endFor
Plot: pbw = 200 * (pu - pl) / (pu + pl);Projection Oscillator
The Projection Oscillator (PO) was authored by Mel Widner, Stocks and Commodities Mag. 07/1995. The PO uses the Linear Regression slope, along with highs and lows in its calculation. The user may change the method (EMA) and period lengths. This indicator’s definition is further expressed in the condensed code given in the calculation below.
How To Trade Using Projection Oscillator
Trading signals are given when the pbo crosses the signal line. If the pbo crosses above (upward movement) a buy signal will be generated. Conversely, if the pbo crosses below (downward movement) a sell signal will be given.
Calculation
//method = user defined, default is EMA //pboPeriod = user defined, default is 14 //sigPeriod = user defined, default is 3 //index = current bar number, LOE = less or equal
mHigh = linRegLine(period, high)[1]; //returns the slope (m) of Linear Regresion line
mLow = linRegLine( period, low)[1];
count = 0;
pbw = 0, pu = 0, pl = Double.MAX_VALUE;
for (i = (index-pboPeriod + 1); i LOE index; i++) //move back 1 period
high = high[i];
low = low[i];
vHigh = high + (mHigh * (count));
vLow = low + (mLow * (count));
if (vHigh moreThan pu) pu = vHigh;
if (vLow lessThan pl) pl = vLow;
count++;
endFor
Plot1: PBO = 100 * (price - pl) / (pu - pl);
Plot2: SIG = ma(method, sigPeriod, pbo);
buy = crossedAbove(PBO, SIG);
sell = crossedBelow(PBO, SIG);
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