Williams %R 均值回归策略
Williams %R 在 0 到 -100 区间波动,用于衡量价格在最近区间中的相对位置。当指标远离自身均值时,本策略选择逆势进入。
测试表明年均收益约为 154%,该策略在股票市场表现最佳。
当 %R 低于平均值减 DeviationMultiplier 倍标准差时做多;当 %R 高于平均值加同样倍数时做空。指标回到均值附近即平仓。
这种方法适合依靠动量衰竭来把握进场时机的交易者,保护性止损可防止价格持续刷新极端。
详细信息
- 入场条件:
- 做多: %R < Avg - DeviationMultiplier * StdDev
- 做空: %R > Avg + DeviationMultiplier * StdDev
- 多空方向: 双向
- 退出条件:
- 做多: Exit when %R > Avg
- 做空: Exit when %R < Avg
- 止损: 是
- 默认值:
WilliamsRPeriod= 14AveragePeriod= 20DeviationMultiplier= 2StopLossPercent= 2CandleType= TimeSpan.FromMinutes(5) Avg和StdDev为最近AveragePeriod个%R值(含当前值)的平均值和标准差。止损为入场价的固定StopLossPercent百分比,在K线之间同样监控;设为0则关闭。与持仓方向相反的入场信号会反转持仓。
- 筛选条件:
- 类别: 均值回归
- 方向: 双向
- 指标: Williams %R
- 止损: 是
- 复杂度: 中等
- 时间框架: 日内
- 季节性: 否
- 神经网络: 否
- 背离: 否
- 风险等级: 中等
using System;
using System.Collections.Generic;
using System.Linq;
using Ecng.Common;
using StockSharp.Algo.Indicators;
using StockSharp.Algo.Strategies;
using StockSharp.BusinessEntities;
using StockSharp.Messages;
namespace StockSharp.Samples.Strategies;
/// <summary>
/// Williams R Mean Reversion strategy.
/// The bands lie DeviationMultiplier standard deviations around the average of the last AveragePeriod %R values, the current one included.
/// %R below the lower band goes long and %R above the upper band goes short,
/// reversing an opposite position. A long closes once %R is back above its average and a short once it is back below it, and a percent stop limits the loss.
/// </summary>
public class WilliamsRMeanReversionStrategy : Strategy
{
private readonly StrategyParam<int> _williamsRPeriod;
private readonly StrategyParam<int> _averagePeriod;
private readonly StrategyParam<decimal> _deviationMultiplier;
private readonly StrategyParam<decimal> _stopLossPercent;
private readonly StrategyParam<DataType> _candleType;
private readonly Queue<decimal> _values = [];
/// <summary>
/// Period of Williams %R.
/// </summary>
public int WilliamsRPeriod
{
get => _williamsRPeriod.Value;
set => _williamsRPeriod.Value = value;
}
/// <summary>
/// Values of %R the average and the standard deviation span.
/// </summary>
public int AveragePeriod
{
get => _averagePeriod.Value;
set => _averagePeriod.Value = value;
}
/// <summary>
/// Standard deviations between the average and a band.
/// </summary>
public decimal DeviationMultiplier
{
get => _deviationMultiplier.Value;
set => _deviationMultiplier.Value = value;
}
/// <summary>
/// Stop loss percentage from entry price.
/// </summary>
public decimal StopLossPercent
{
get => _stopLossPercent.Value;
set => _stopLossPercent.Value = value;
}
/// <summary>
/// Candle type.
/// </summary>
public DataType CandleType
{
get => _candleType.Value;
set => _candleType.Value = value;
}
/// <summary>
/// Constructor.
/// </summary>
public WilliamsRMeanReversionStrategy()
{
_williamsRPeriod = Param(nameof(WilliamsRPeriod), 14)
.SetGreaterThanZero()
.SetDisplay("Williams %R Period", "Period of Williams %R", "Indicators");
_averagePeriod = Param(nameof(AveragePeriod), 20)
.SetGreaterThanZero()
.SetDisplay("Average Period", "Values of %R the average and the standard deviation span", "Indicators");
_deviationMultiplier = Param(nameof(DeviationMultiplier), 2m)
.SetGreaterThanZero()
.SetDisplay("Multiplier", "Standard deviations between the average and a band", "Indicators");
_stopLossPercent = Param(nameof(StopLossPercent), 2m)
.SetNotNegative()
.SetDisplay("Stop Loss %", "Stop loss percentage from entry price", "Risk");
_candleType = Param(nameof(CandleType), TimeSpan.FromMinutes(5).TimeFrame())
.SetDisplay("Candle Type", "Type of candles to use", "General");
}
/// <inheritdoc />
public override IEnumerable<(Security sec, DataType dt)> GetWorkingSecurities()
{
return [(Security, CandleType)];
}
/// <inheritdoc />
protected override void OnReseted()
{
base.OnReseted();
_values.Clear();
}
/// <inheritdoc />
protected override void OnStarted2(DateTime time)
{
base.OnStarted2(time);
_values.Clear();
var williams = new WilliamsR { Length = WilliamsRPeriod };
var subscription = SubscribeCandles(CandleType);
subscription
.BindEx(williams, ProcessCandle)
.Start();
StartProtection(new Unit(), new Unit(StopLossPercent, UnitTypes.Percent), useMarketOrders: true, isLocalStop: true);
// The stop has to see prices between candles, not only at their close.
foreach (var field in new[] { Level1Fields.BestBidPrice, Level1Fields.BestAskPrice })
{
var quotes = new Subscription(DataType.Level1, Security);
quotes.MarketData.BuildField = field;
SubscribeLevel1(quotes).Bind(ObserveProtectionQuote).Start();
}
var area = CreateChartArea();
if (area != null)
{
DrawCandles(area, subscription);
DrawOwnTrades(area);
var oscillators = CreateChartArea();
if (oscillators != null)
{
DrawIndicator(oscillators, williams);
}
}
}
private void ObserveProtectionQuote(Level1ChangeMessage quote)
{
// The high-level handler activates native protection before this callback, also between signal bars.
}
private void ProcessCandle(ICandleMessage candle, IIndicatorValue williamsValue)
{
if (candle.State != CandleStates.Finished)
return;
if (!williamsValue.IsFormed)
return;
var value = williamsValue.GetValue<decimal>();
_values.Enqueue(value);
if (_values.Count > AveragePeriod)
_values.Dequeue();
if (_values.Count < AveragePeriod)
return;
if (!IsFormedAndOnlineAndAllowTrading())
return;
var mean = _values.Average();
var deviation = (decimal)Math.Sqrt((double)_values.Average(v => (v - mean) * (v - mean)));
var upper = mean + DeviationMultiplier * deviation;
var lower = mean - DeviationMultiplier * deviation;
if (value < lower && Position <= 0)
BuyMarket(Volume + Math.Abs(Position));
else if (value > upper && Position >= 0)
SellMarket(Volume + Math.Abs(Position));
else if (Position > 0 && value > mean)
SellMarket(Position);
else if (Position < 0 && value < mean)
BuyMarket(-Position);
}
}
import clr
clr.AddReference("StockSharp.Messages")
clr.AddReference("StockSharp.Algo")
clr.AddReference("StockSharp.Algo.Indicators")
clr.AddReference("StockSharp.Algo.Strategies")
clr.AddReference("StockSharp.BusinessEntities")
from System import TimeSpan, Decimal, Math
from StockSharp.Messages import DataType, CandleStates, Unit, UnitTypes, Level1Fields
from StockSharp.BusinessEntities import Subscription
from StockSharp.Algo.Indicators import WilliamsR
from StockSharp.Algo.Strategies import Strategy
class williams_r_mean_reversion_strategy(Strategy):
"""
Williams R Mean Reversion strategy.
The bands lie DeviationMultiplier standard deviations around the average of the last AveragePeriod %R values, the current one included.
%R below the lower band goes long and %R above the upper band goes short,
reversing an opposite position. A long closes once %R is back above its average and a short once it is back below it, and a percent stop limits the loss.
"""
def __init__(self):
super(williams_r_mean_reversion_strategy, self).__init__()
self._williams_r_period = self.Param("WilliamsRPeriod", 14).SetGreaterThanZero().SetDisplay("Williams %R Period", "Period of Williams %R", "Indicators")
self._average_period = self.Param("AveragePeriod", 20).SetGreaterThanZero().SetDisplay("Average Period", "Values of %R the average and the standard deviation span", "Indicators")
self._deviation_multiplier = self.Param("DeviationMultiplier", 2.0).SetGreaterThanZero().SetDisplay("Multiplier", "Standard deviations between the average and a band", "Indicators")
self._stop_loss_percent = self.Param("StopLossPercent", 2.0).SetNotNegative().SetDisplay("Stop Loss %", "Stop loss percentage from entry price", "Risk")
self._candle_type = self.Param("CandleType", DataType.TimeFrame(TimeSpan.FromMinutes(5))).SetDisplay("Candle Type", "Type of candles to use", "General")
self._reset_state()
@property
def candle_type(self):
return self._candle_type.Value
def _reset_state(self):
self._values = []
def OnReseted(self):
super(williams_r_mean_reversion_strategy, self).OnReseted()
self._reset_state()
def OnStarted2(self, time):
super(williams_r_mean_reversion_strategy, self).OnStarted2(time)
self._reset_state()
williams = WilliamsR()
williams.Length = self._williams_r_period.Value
subscription = self.SubscribeCandles(self.candle_type)
subscription.BindEx(williams, self._process_candle).Start()
self.StartProtection(Unit(), Unit(Decimal(self._stop_loss_percent.Value), UnitTypes.Percent), useMarketOrders=True, isLocalStop=True)
# The stop has to see prices between candles, not only at their close.
for field in (Level1Fields.BestBidPrice, Level1Fields.BestAskPrice):
quotes = Subscription(DataType.Level1, self.Security)
quotes.MarketData.BuildField = field
self.SubscribeLevel1(quotes).Bind(self._observe_protection_quote).Start()
area = self.CreateChartArea()
if area is not None:
self.DrawCandles(area, subscription)
self.DrawOwnTrades(area)
oscillators = self.CreateChartArea()
if oscillators is not None:
self.DrawIndicator(oscillators, williams)
def _observe_protection_quote(self, quote):
# The high-level handler activates native protection before the callback, including between bars.
pass
def _process_candle(self, candle, williams_value):
if candle.State != CandleStates.Finished:
return
if not williams_value.IsFormed:
return
value = williams_value.GetValue[Decimal](None)
period = self._average_period.Value
self._values.append(value)
if len(self._values) > period:
self._values.pop(0)
if len(self._values) < period:
return
if not self.IsFormedAndOnlineAndAllowTrading():
return
total = Decimal(0)
for item in self._values:
total += item
mean = total / Decimal(period)
squares = Decimal(0)
for item in self._values:
squares += (item - mean) * (item - mean)
deviation = Decimal(Math.Sqrt(Decimal.ToDouble(squares / Decimal(period))))
multiplier = Decimal(self._deviation_multiplier.Value)
upper = mean + multiplier * deviation
lower = mean - multiplier * deviation
if value < lower and self.Position <= 0:
self.BuyMarket(self.Volume + abs(self.Position))
elif value > upper and self.Position >= 0:
self.SellMarket(self.Volume + abs(self.Position))
elif self.Position > 0 and value > mean:
self.SellMarket(self.Position)
elif self.Position < 0 and value < mean:
self.BuyMarket(-self.Position)
def CreateClone(self):
return williams_r_mean_reversion_strategy()