Indicators

// Sum the output of two indicators
var min = MIN("SPY", 21);
var std = STD("SPY", 21);
var minPlusStd = min.Plus(std);

// Sum the output of an indicator and a fixed value
var rsiPlusValue = min.Plus(10);

# Sum the output of two indicators
min_ = self.min("SPY", 21)
std = self.std("SPY", 21)
min_plus_std = IndicatorExtensions.plus(min_, std)

# Sum the output of an indicator and a fixed value
min_plus_value = IndicatorExtensions.plus(min_, 10)

var namedIndicator = min.Plus(std, "Buy Zone");

named_indicator = IndicatorExtensions.plus(min_, std, "Buy Zone")

// Subtract the output of two indicators
var smaShort = SMA("SPY", 14);
var smaLong = SMA("SPY", 21);
var smaDifference = smaShort.Minus(smaLong);

// Subtract a fixed value from the output of an indicator
var smaMinusValue = smaShort.Minus(10);

# Subtract the output of two indicators
sma_short = self.sma("SPY", 14)
sma_long = self.sma("SPY", 21)
sma_difference = IndicatorExtensions.minus(sma_short, sma_long)

# Subtract a fixed value from the output of an indicator
sma_minus_value = IndicatorExtensions.minus(sma_short, 10)

var namedIndicator = smaShort.Minus(smaLong, "SMA Difference");

named_indicator = IndicatorExtensions.minus(sma_short, sma_long, "SMA Difference")

// Multiply the output of two indicators
var emaShort = EMA("SPY", 14);
var emaLong = EMA("SPY", 21);
var emaProduct = emaShort.Times(emaLong);

// Multiply the output of an indicator and a fixed value
var emaTimesValue = emaShort.Times(10);

# Multiply the output of two indicators
ema_short = self.ema("SPY", 14)
ema_long = self.ema("SPY", 21)
ema_product = IndicatorExtensions.times(ema_short, ema_long)

# Multiply the output of an indicator and a fixed value
ema_times_value = IndicatorExtensions.times(ema_short, 1.5)

var namedIndicator = emaShort.Times(emaLong, "EMA Product");

named_indicator = IndicatorExtensions.times(ema_short, ema_long, "EMA Product")

// Divide the output of two indicators
var rsiShort = RSI("SPY", 14);
var rsiLong = RSI("SPY", 21);
var rsiDivision = rsiShort.Over(rsiLong);

// Divide the output of an indicator by a fixed value
var rsiAverage = rsiShort.Plus(rsiLong).Over(2);

# Divide the output of two indicators
rsi_short = self.rsi("SPY", 14)
rsi_long = self.rsi("SPY", 21)
rsi_division = rsi_short.over(rsi_long)

# Divide the output of an indicator by a fixed value
rsi_half = IndicatorExtensions.over(rsi_short, 2)

var namedIndicator = rsiShort.Over(rsiLong, "RSI Division");

named_indicator = IndicatorExtensions.over(rsi_short, rsi_long, "RSI Division")

var smaShort = SMA("SPY", 14); 
var smaLong = SMA("SPY", 21); 
var weightedSMA = smaShort.WeightedBy(smaLong, 3);

sma_short = self.sma("SPY", 14)
sma_long = self.sma("SPY", 21)
weighted_sma = IndicatorExtensions.weighted_by(sma_short, sma_long, 3)

var rsi = RSI("SPY", 14);
var rsiSMA = (new SimpleMovingAverage(10)).Of(rsi); // 10-period SMA of the 14-period RSI

rsi = self.rsi("SPY", 14)
rsi_sma = IndicatorExtensions.of(SimpleMovingAverage(10), rsi) # 10-period SMA of the 14-period RSI

var rsi = RSI("SPY", 14); // Create a RSI indicator
var rsiSMA = rsi.SMA(3); // Create an indicator to calculate the 3-period SMA of the RSI indicator

rsi = self.rsi("SPY", 14) # Create a RSI indicator
rsi_sma = IndicatorExtensions.SMA(rsi, 3) # Create an indicator to calculate the 3-period SMA of the RSI indicator

var rsi = RSI("SPY", 14); // Create a RSI indicator
var rsiEMA = _rsi.EMA(3); // Create an indicator to calculate the 3-period EMA of the RSI indicator

rsi = self.rsi("SPY", 14) # Create a RSI indicator
rsi_ema = IndicatorExtensions.EMA(rsi, 3) # Create an indicator to calculate the 3-period EMA of the RSI indicator

var rsiEMA = rsi.EMA(3, 0.1m); // 10% smoothing factor

rsi_ema = IndicatorExtensions.EMA(rsi, 3, 0.1) # 10% smoothing factor

var ema = EMA("SPY", 14); // Create an EMA indicator
var emaMax = ema.MAX(10); // Create an indicator to calculate the maximum EMA over the last 10 periods

ema = self.ema("SPY", 14) # Create an EMA indicator
ema_max = IndicatorExtensions.MAX(ema, 10) # Create an indicator to calculate the maximum EMA over the last 10 periods

var ema = EMA("SPY", 14); // Create an EMA indicator
var emaMin = ema.MIN(10); // Create an indicator to calculate the minimum EMA over the last 10 periods

ema = self.ema("SPY", 14) # Create an EMA indicator
ema_min = IndicatorExtensions.MIN(ema, 10) # Create an indicator to calculate the minimum EMA over the last 10 periods

public class CombiningIndicatorsAlgorithm : QCAlgorithm
{
    private Symbol _spy, _option;
    private SimpleMovingAverage _sma;
    private StandardDeviation _sd;

    public override void Initialize()
    {
        SetStartDate(2020, 1, 1);
        SetEndDate(2020, 6, 1);

        // Request daily SPY data to feed the indicators and generate trade signals.
        // Use Raw data normalization mode to compare the strike price fairly.
        _spy = AddEquity("SPY", dataNormalizationMode: DataNormalizationMode.Raw).Symbol;

        // Request option data to trade.
        var option = AddOption(_spy);
        _option = option.Symbol;
        // Filter for 7-day expiring options with $5 apart from the current price to trade volatility using strangle.
        option.SetFilter((universe) => universe.IncludeWeeklys().Strangle(7, 5, -5));

        // Create a return indicator to get the daily return of SPY.
        var ret = ROC(_spy, 1, Resolution.Daily);
        // Create an SD indicator to measure the 252-day SD of return to measure SPY's volatility.
        _sd = IndicatorExtensions.Of(new StandardDeviation(252), ret);
        // Create a 20-day SMA indicator of the SD indicator to compare the average volatility.
        _sma = IndicatorExtensions.Of(new SimpleMovingAverage(20), _sd);

        // Warm up for immediate usage of indicators.
        SetWarmUp(400, Resolution.Daily);
    }

    public override void OnData(Slice slice)
    {
        if (!Portfolio.Invested && slice.OptionChains.TryGetValue(_option, out var chain))
        {
            // Create a strangle strategy to trade the volatility forecast.
            var otmCallStrike = chain.Max(x => x.Strike);
            var otmPutStrike = chain.Min(x => x.Strike);
            var expiry = chain.Min(x => x.Expiry);
            var strangle = OptionStrategies.Strangle(_option, otmCallStrike, otmPutStrike, expiry);

            // If the current STD is above its SMA, we estimate the volatility will remain high due to volatility clustering.
            // Thus, we long the strangle to earn from the price displacement from the current level.
            if (_sd > _sma)
            {
                Buy(strangle, 2);
            }
            // If the current STD is below its SMA, we estimate the volatility will remain lower due to volatility clustering.
            // Thus, we short the strangle to earn from the price staying at the current level.
            if (_sd < _sma)
            {
                Sell(strangle, 2);
            }
        }
        else if (Portfolio[_spy].Invested)
        {
            // Liquidate any assigned underlying positions.
            Liquidate(_spy);
        }
    }
}

class CombiningIndicatorsAlgorithm(QCAlgorithm):
    def initialize(self) -> None:
        self.set_start_date(2020, 1, 1)
        self.set_end_date(2020, 6, 1)

        # Request daily SPY data to feed the indicators and generate trade signals.
        # Use Raw data normalization mode to compare the strike price fairly.
        self.spy = self.add_equity("SPY", data_normalization_mode=DataNormalizationMode.RAW).symbol

        # Request option data to trade.
        option = self.add_option(self.spy)
        self._option = option.symbol
        # Filter for 7-day expiring options with $5 apart from the current price to trade volatility using strangle.
        option.set_filter(lambda universe: universe.include_weeklys().strangle(7, 5, -5))

        # Create a return indicator to get the daily return of SPY.
        ret = self.roc(self.spy, 1, Resolution.DAILY)
        # Create an SD indicator to measure the 252-day SD of return to measure SPY's volatility.
        self._sd = IndicatorExtensions.of(StandardDeviation(252), ret)
        # Create a 20-day SMA indicator of the SD indicator to compare the average volatility.
        self._sma = IndicatorExtensions.of(SimpleMovingAverage(20), self._sd)

        # Warm up for immediate usage of indicators.
        self.set_warm_up(400, Resolution.DAILY)

    def on_data(self, slice: Slice) -> None:
        chain = slice.option_chains.get(self._option)
        if not self.portfolio.invested and chain:
            # Create a strangle strategy to trade the volatility forecast.
            sorted_strike = sorted([x.strike for x in chain])
            otm_call_strike = sorted_strike[-1]
            otm_put_strike = sorted_strike[0]
            expiry = list(chain)[0].expiry
            strangle = OptionStrategies.strangle(self._option, otm_call_strike, otm_put_strike, expiry)

            # If the current STD is above its SMA, we estimate the volatility will remain high due to volatility clustering.
            # Thus, we long the strangle to earn from the price displacement from the current level.
            if self._sd.current.value > self._sma.current.value:
                self.buy(strangle, 2)
            # If the current STD is below its SMA, we estimate the volatility will remain lower due to volatility clustering.
            # Thus, we short the strangle to earn from the price staying at the current level.
            elif self._sd.current.value < self._sma.current.value:
                self.sell(strangle, 2)

        elif self.portfolio[self.spy].invested:
            # Liquidate any assigned underlying positions.
            self.liquidate(self.spy)

public class DisplacedMovingAverageRibbon : QCAlgorithm
{
    private Symbol _spy;
    private IndicatorBase<IndicatorDataPoint>[] _ribbon;

    public override void Initialize()
    {
        SetStartDate(2009, 1, 1);
        SetEndDate(2015, 1, 1);

        // Request daily SPY data for feeding indicator and trading.
        _spy = AddEquity("SPY", Resolution.Daily).Symbol;

        // Create 6 15-day SMA indicators, with a 5-day delay between each indicator.
        const int count = 6;
        const int offset = 5;
        const int period = 15;

        // Define our sma as the base of the ribbon.
        var sma = new SimpleMovingAverage(period);

        _ribbon = Enumerable.Range(0, count).Select(x =>
        {
            // Define our offset to the zero SMA; these various offsets will create our 'displaced' ribbon.
            var delay = new Delay(offset*(x+1));
            // Using Delay indicator to create displaced SMA indicators.
            var delayedSma = delay.Of(sma);
            // Register our new 'delayed_sma' for automatic updates on a daily resolution.
            RegisterIndicator(_spy, delayedSma, Resolution.Daily, data => data.Value);
            return delayedSma;
        }).ToArray();
    }

    public override void OnData(Slice slice)
    {
        // Trade only on updated data with ready-to-use indicators.
        if (!_ribbon.All(x => x.IsReady)) return;
        if (!slice.Bars.TryGetValue(_spy, out var data))
        {
            return;
        }
        // Plot indicators each time they update.
        Plot("Ribbon", "Price", data.Price);
        Plot("Ribbon", _ribbon);

        var values = _ribbon.Select(x => x.Current.Value).ToArray();
        var holding = Portfolio[_spy];
        // Buy SPY if the trend is upward.
        if (holding.Quantity <= 0 && IsAscending(values))
        {
            SetHoldings(_spy, 1.0);
        }
        // Liquidate if the trend is downwards.
        else if (holding.Quantity > 0 && IsDescending(values))
        {
            Liquidate(_spy);
        }
    }

    // Returns true if the SMA values are in ascending order, indicating an upward trend
    private bool IsAscending(IEnumerable<decimal> values)
    {
        decimal? last = null;
        foreach (var val in values)
        {
            if (last == null)
            {
                last = val;
                continue;
            }

            if (last.Value < val)
            {
                return false;
            }
            last = val;
        }
        return true;
    }

    // Returns true if the SMA values are in descending order, indicating a downward trend
    private bool IsDescending(IEnumerable<decimal> values)
    {
        decimal? last = null;
        foreach (var val in values)
        {
            if (last == null)
            {
                last = val;
                continue;
            }

            if (last.Value > val)
            {
                return false;
            }
            last = val;
        }
        return true;
    }
}

class DisplacedMovingAverageRibbon(QCAlgorithm):
    def initialize(self) -> None:
        self.set_start_date(2009, 1, 1)
        self.set_end_date(2015, 1, 1)

        # Request daily SPY data for feeding indicator and trading.
        self.spy = self.add_equity("SPY", Resolution.DAILY).symbol

        # Create 6 15-day SMA indicators, with a 5-day delay between each indicator.
        count = 6
        offset = 5
        period = 15
        self.ribbon = []
        # Define our sma as the base of the ribbon.
        self.sma = SimpleMovingAverage(period)
        
        for x in range(count):
            # Define our offset to the zero SMA. These various offsets will create our 'displaced' ribbon.
            delay = Delay(offset*(x+1))
            # Using Delay indicator to create displaced SMA indicators.
            delayed_sma = IndicatorExtensions.of(delay, self.sma)
            # Register our new 'delayed_sma' for automatic updates on a daily resolution.
            self.register_indicator(self.spy, delayed_sma, Resolution.DAILY)
            self.ribbon.append(delayed_sma)

        # Plot indicators each time they update using the PlotIndicator function.
        for i in self.ribbon:
            self.plot_indicator("Ribbon", i) 

    def on_data(self, data: Slice) -> None:
        # Trade only on updated data with ready-to-use indicators.
        if data[self.spy] is None: return
        if not all(x.is_ready for x in self.ribbon): return
        self.plot("Ribbon", "Price", data[self.spy].price)

        values = [x.current.value for x in self.ribbon]
        holding = self.portfolio[self.spy]
        # Buy SPY if the trend is upward.
        if (holding.quantity <= 0 and self.is_ascending(values)):
            self.set_holdings(self.spy, 1.0)
        # Liquidate if the trend is downwards.
        elif (holding.quantity > 0 and self.is_descending(values)):
            self.liquidate(self.spy)
    
    # Returns true if the SMA values are in ascending order, indicating an upward trend
    def is_ascending(self, values: List[float]) -> None:
        last = None
        for val in values:
            if last is None:
                last = val
                continue
            if last < val:
                return False
            last = val
        return True
    
    # Returns true if the SMA values are in descending order, indicating a downward trend
    def is_descending(self, values: List[float]) -> None:
        last = None
        for val in values:
            if last is None:
                last = val
                continue
            if last > val:
                return False
            last = val
        return True