Betting Against Beta Stocks
取引規則
Universe と BenchmarkSecurity の日付をそろえ、WindowDays + 1 共通日付を要求します。単純収益率 r[d] = P[d] / P[d−1] − 1。beta はベンチマークとの共分散をベンチマーク分散で割った値です。分散ゼロなら延期します。最低 beta の Deciles を買い、最高を売り、片側 floor(Universe 数 / Deciles)。日中の beta 閾値、ストップ、beta 中立化のレバレッジ調整はありません。
時刻が一致する確定足だけを評価します。統計は異なる UTC 日付を数え、同じ日の後続足が日次価格を更新します。毎月最初の条件を満たす同期確定足で一度リバランスします。データ不足時は延期し、同点は Security.Id 順に並べます。
日中 CandleType の日次統計は現在の信号日より前の UTC 日付のみを使い、未完了の当日は除外します。確定済み一日足は自身の完了日を含められます。
入力データ
PriceHistoryFile は正の日次終値の任意 CSV です:SecurityId,Date,Close。日付は yyyy-MM-dd。現在・将来の日付で判断を先取りせず、実際の確定足で該当 UTC 日の価格を上書きします。重複日付は禁止です。短い約定履歴で長い期間を準備するために使えます。
パラメーター
| パラメーター | 既定値 |
|---|---|
Universe |
必須 |
Capital |
100000 |
Leverage |
1 |
MinTradeUsd |
100 |
CandleType |
TimeSpan.FromMinutes(5).TimeFrame() |
Deciles |
10 |
PriceHistoryFile |
任意 — 未指定 |
BenchmarkSecurity |
必須 |
WindowDays |
252 |
約定と保有数量
Universe を明示的に設定します。価格と Capital は取引単位当たりの USD です。Capital は固定予算、Leverage は総エクスポージャーを指定します。損切りや利食い注文は追加しません。
買い・売りの各バスケットに Capital × Leverage の半分を均等配分します。信号終値で数量に換算し、VolumeStep 単位でゼロ方向へ丸めます。実際の約定残高を使い、未完了注文を待ち、MinVolume/MaxVolume を守って大口調整を後続足へ分割します。MinTradeUsd は小口調整を除外しますが、全決済には適用しません。
検証
約定検証には既存 BTC/TON アーカイブのみを使います。明示した財務報告、オプション観測、準備価格は仕組みのテスト用で、実企業財務やオプション履歴ではありません。短縮期間、二分位、三月の年次調整は明示的な検証設定で、元の長期既定値の取引を証明しません。収益率は主張しません。
namespace StockSharp.Samples.Strategies;
using System;
using System.Collections.Generic;
using System.Globalization;
using System.IO;
using System.Linq;
using Ecng.Common;
using StockSharp.Algo.Strategies;
using StockSharp.BusinessEntities;
using StockSharp.Messages;
/// <summary>Betting Against Beta Stocks with explicit inputs and execution-based portfolio accounting.</summary>
public class BettingAgainstBetaStocksStrategy : Strategy
{
private readonly StrategyParam<IEnumerable<Security>> _universe;
private readonly StrategyParam<decimal> _capital;
private readonly StrategyParam<decimal> _leverage;
private readonly StrategyParam<decimal> _minTradeUsd;
private readonly StrategyParam<DataType> _candleType;
private readonly StrategyParam<int> _deciles;
private readonly StrategyParam<string> _priceHistoryFile;
private readonly StrategyParam<Security> _benchmarkSecurity;
private readonly StrategyParam<int> _windowDays;
private Security[] _securities = [];
private readonly Dictionary<Security, (DateTime time, decimal price)> _latest = [];
private readonly Dictionary<Security, SortedDictionary<DateTime, decimal>> _history = [];
private readonly Dictionary<Security, decimal> _targets = [];
private readonly List<Order> _pending = [];
private int _lastRebalance;
private DateTime? _lastBar;
/// <summary>Execution securities with USD prices and valid volume metadata.</summary>
public IEnumerable<Security> Universe { get => _universe.Value; set => _universe.Value = value; }
/// <summary>Fixed gross capital budget in USD.</summary>
public decimal Capital { get => _capital.Value; set => _capital.Value = value; }
/// <summary>Gross target exposure divided by the capital budget.</summary>
public decimal Leverage { get => _leverage.Value; set => _leverage.Value = value; }
/// <summary>Minimum notional adjustment; complete liquidation bypasses this filter.</summary>
public decimal MinTradeUsd { get => _minTradeUsd.Value; set => _minTradeUsd.Value = value; }
/// <summary>Closed candle type; daily statistics count distinct UTC dates.</summary>
public DataType CandleType { get => _candleType.Value; set => _candleType.Value = value; }
/// <summary>Number of cross-sectional buckets, requiring at least this many eligible securities.</summary>
public int Deciles { get => _deciles.Value; set => _deciles.Value = value; }
/// <summary>Optional daily close CSV for warmup; current and future dates cannot prefill a decision.</summary>
public string PriceHistoryFile { get => _priceHistoryFile.Value; set => _priceHistoryFile.Value = value; }
/// <summary>Market benchmark for synchronized daily simple returns.</summary>
public Security BenchmarkSecurity { get => _benchmarkSecurity.Value; set => _benchmarkSecurity.Value = value; }
/// <summary>Daily return pairs required by each covariance estimate.</summary>
public int WindowDays { get => _windowDays.Value; set => _windowDays.Value = value; }
/// <summary>Initialize the published strategy parameters.</summary>
public BettingAgainstBetaStocksStrategy()
{
_universe = Param<IEnumerable<Security>>(nameof(Universe)).SetRequired()
.SetDisplay("Universe", "Execution securities with USD prices and valid volume metadata", "Parameters");
_capital = Param(nameof(Capital), 100000m).SetGreaterThanZero()
.SetDisplay("Capital", "Fixed gross capital budget in USD", "Parameters");
_leverage = Param(nameof(Leverage), 1m).SetGreaterThanZero()
.SetDisplay("Leverage", "Gross target exposure divided by the capital budget", "Parameters");
_minTradeUsd = Param(nameof(MinTradeUsd), 100m).SetRange(0m, decimal.MaxValue)
.SetDisplay("MinTradeUsd", "Minimum notional adjustment; complete liquidation bypasses this filter", "Parameters");
_candleType = Param(nameof(CandleType), TimeSpan.FromMinutes(5).TimeFrame())
.SetDisplay("CandleType", "Closed candle type; daily statistics count distinct UTC dates", "Parameters");
_deciles = Param(nameof(Deciles), 10).SetRange(2, 10000)
.SetDisplay("Deciles", "Number of cross-sectional buckets, requiring at least this many eligible securities", "Parameters");
_priceHistoryFile = Param<string>(nameof(PriceHistoryFile))
.SetDisplay("PriceHistoryFile", "Optional daily close CSV for warmup; current and future dates cannot prefill a decision", "Parameters");
_benchmarkSecurity = Param<Security>(nameof(BenchmarkSecurity)).SetRequired()
.SetDisplay("BenchmarkSecurity", "Market benchmark for synchronized daily simple returns", "Parameters");
_windowDays = Param(nameof(WindowDays), 252).SetGreaterThanZero()
.SetDisplay("WindowDays", "Daily return pairs required by each covariance estimate", "Parameters");
}
/// <inheritdoc />
public override IEnumerable<(Security sec, DataType dt)> GetWorkingSecurities()
{
foreach (var security in (Universe ?? []).Concat(BenchmarkSecurity is null ? [] : new[] { BenchmarkSecurity }).DistinctBy(s => s.Id, StringComparer.OrdinalIgnoreCase))
yield return (security, CandleType);
}
/// <inheritdoc />
protected override void OnReseted()
{
base.OnReseted();
_securities = [];
_latest.Clear();
_history.Clear();
_targets.Clear();
_pending.Clear();
_lastRebalance = 0;
_lastBar = null;
}
/// <inheritdoc />
protected override void OnStarted2(DateTime time)
{
_securities = (Universe ?? []).ToArray();
if (_securities.Length == 0 || _securities.Any(s => s is null || string.IsNullOrWhiteSpace(s.Id))
|| _securities.Select(s => s.Id).Distinct(StringComparer.OrdinalIgnoreCase).Count() != _securities.Length)
throw new InvalidOperationException("Universe must contain distinct execution securities.");
foreach (var security in GetWorkingSecurities().Select(x => x.sec))
{
if (security.VolumeStep is not > 0m || security.MinVolume is not > 0m || security.MaxVolume is not > 0m)
throw new InvalidOperationException("Every security needs positive VolumeStep, MinVolume and MaxVolume.");
_history[security] = [];
}
if (BenchmarkSecurity is null) throw new InvalidOperationException("BenchmarkSecurity is required.");
LoadPriceHistory();
base.OnStarted2(time);
foreach (var security in GetWorkingSecurities().Select(x => x.sec))
SubscribeCandles(CandleType, security: security).Bind(candle => ProcessCandle(security, candle)).Start();
}
private void ProcessCandle(Security security, ICandleMessage candle)
{
if (candle.State != CandleStates.Finished || candle.ClosePrice <= 0m) return;
_latest[security] = (candle.OpenTime, candle.ClosePrice);
_history[security][candle.OpenTime.Date] = candle.ClosePrice;
if (_latest.Count != _history.Count || _latest.Values.Any(v => v.time != candle.OpenTime)
|| _lastBar == candle.OpenTime || !IsFormedAndOnlineAndAllowTrading()) return;
_lastBar = candle.OpenTime;
var month = candle.OpenTime.Year * 100 + candle.OpenTime.Month;
if (_lastRebalance != month && SelectTargets(candle.OpenTime))
_lastRebalance = month;
ReconcileTargets();
}
private decimal[] Daily(Security security, DateTime time)
=> _history[security].Where(x => x.Key <= LastClosedDate(time)).Select(x => x.Value).ToArray();
private DateTime LastClosedDate(DateTime time)
=> CandleType.Arg is TimeSpan frame && frame == TimeSpan.FromDays(1) ? time.Date : time.Date.AddDays(-1);
private decimal Units(Security security, decimal notional)
=> Math.Floor(notional / _latest[security].price / security.VolumeStep.Value) * security.VolumeStep.Value;
private void ReconcileTargets()
{
if (_pending.Any(o => o.State is not (OrderStates.Done or OrderStates.Failed))) return;
_pending.Clear();
foreach (var security in _securities)
{
if (!_targets.TryGetValue(security, out var target)) continue;
var delta = target - GetPositionValue(security, Portfolio).GetValueOrDefault();
if (delta == 0m || (target != 0m && Math.Abs(delta) * _latest[security].price < MinTradeUsd)) continue;
var step = security.VolumeStep.Value;
var quantity = Math.Floor(Math.Min(Math.Abs(delta), security.MaxVolume.Value) / step) * step;
if (quantity < security.MinVolume.Value) continue;
var order = new Order
{
Security = security, Portfolio = Portfolio, Type = OrderTypes.Market,
Side = delta > 0m ? Sides.Buy : Sides.Sell, Volume = quantity, Comment = "0354Rebalance",
};
_pending.Add(order);
RegisterOrder(order);
}
}
private void LoadPriceHistory()
{
if (string.IsNullOrWhiteSpace(PriceHistoryFile)) return;
var lines = File.ReadLines(PriceHistoryFile).GetEnumerator();
using (lines)
{
if (!lines.MoveNext() || lines.Current.Trim() != "SecurityId,Date,Close")
throw new InvalidOperationException("Price history must begin with SecurityId,Date,Close.");
while (lines.MoveNext())
{
if (string.IsNullOrWhiteSpace(lines.Current)) continue;
var row = lines.Current.Split(',');
if (row.Length != 3) throw new InvalidOperationException("A daily price row must have three fields.");
var security = _history.Keys.SingleOrDefault(s => string.Equals(s.Id, row[0].Trim(), StringComparison.OrdinalIgnoreCase));
if (security is null) continue;
var date = DateTime.ParseExact(row[1].Trim(), "yyyy-MM-dd", CultureInfo.InvariantCulture);
var price = decimal.Parse(row[2], CultureInfo.InvariantCulture);
if (price <= 0m || !_history[security].TryAdd(date, price))
throw new InvalidOperationException("Daily prices must be positive and unique per security and UTC date.");
}
}
}
private bool SelectTargets(DateTime time)
{
var dates = _securities.Append(BenchmarkSecurity).Distinct()
.Select(s => _history[s].Keys.Where(d => d <= LastClosedDate(time)).ToHashSet())
.Aggregate((a, b) => { a.IntersectWith(b); return a; }).OrderBy(d => d).TakeLast(WindowDays + 1).ToArray();
if (dates.Length < WindowDays + 1) return false;
decimal[] Returns(Security security) => dates.Skip(1).Select((d, i) => _history[security][d] / _history[security][dates[i]] - 1m).ToArray();
var benchmark = Returns(BenchmarkSecurity);
var mean = benchmark.Average();
var variance = benchmark.Sum(r => (r - mean) * (r - mean));
if (variance <= 0m) return false;
var ranked = _securities.Select(s =>
{
var returns = Returns(s);
var average = returns.Average();
var beta = returns.Select((r, i) => (r - average) * (benchmark[i] - mean)).Sum() / variance;
return (security: s, beta);
}).OrderBy(x => x.beta).ThenBy(x => x.security.Id, StringComparer.Ordinal).Select(x => x.security).ToArray();
if (ranked.Length < Deciles) return false;
var count = ranked.Length / Deciles;
SetBasketTargets(ranked.Take(count), ranked.TakeLast(count), Capital * Leverage);
return true;
}
private void SetBasketTargets(IEnumerable<Security> longBasket, IEnumerable<Security> shortBasket, decimal grossCapital)
{
var longs = longBasket.ToArray();
var shorts = shortBasket.ToArray();
foreach (var s in _securities) _targets[s] = 0m;
foreach (var s in longs) _targets[s] = Units(s, grossCapital / (2m * longs.Length));
foreach (var s in shorts) _targets[s] = -Units(s, grossCapital / (2m * shorts.Length));
}
}
import clr
clr.AddReference("StockSharp.Messages")
clr.AddReference("StockSharp.Algo")
clr.AddReference("StockSharp.BusinessEntities")
clr.AddReference("StockSharp.Algo.Strategies")
from System import DateTime, Decimal, Math, TimeSpan, InvalidOperationException
from System.Collections.Generic import IEnumerable
from System.Globalization import CultureInfo, DateTimeStyles
from System.IO import File
from StockSharp.Algo.Strategies import Strategy
from StockSharp.BusinessEntities import Order, Security
from StockSharp.Messages import CandleStates, DataType, OrderStates, OrderTypes, Sides
class betting_against_beta_stocks_strategy(Strategy):
"""Betting Against Beta Stocks with explicit inputs and execution-based portfolio accounting."""
def __init__(self):
super(betting_against_beta_stocks_strategy, self).__init__()
self._universe = self.Param[IEnumerable[Security]]("Universe", None).SetRequired() \
.SetDisplay("Universe", "Execution securities with USD prices and valid volume metadata", "Parameters")
self._capital = self.Param("Capital", Decimal(100000)).SetGreaterThanZero() \
.SetDisplay("Capital", "Fixed gross capital budget in USD", "Parameters")
self._leverage = self.Param("Leverage", Decimal(1)).SetGreaterThanZero() \
.SetDisplay("Leverage", "Gross target exposure divided by the capital budget", "Parameters")
self._min_trade_usd = self.Param("MinTradeUsd", Decimal(100)).SetRange(Decimal(0), Decimal.MaxValue) \
.SetDisplay("MinTradeUsd", "Minimum notional adjustment; complete liquidation bypasses this filter", "Parameters")
self._candle_type = self.Param("CandleType", DataType.TimeFrame(TimeSpan.FromMinutes(5))) \
.SetDisplay("CandleType", "Closed candle type; daily statistics count distinct UTC dates", "Parameters")
self._deciles = self.Param("Deciles", 10).SetRange(2, 10000) \
.SetDisplay("Deciles", "Number of cross-sectional buckets, requiring at least this many eligible securities", "Parameters")
self._price_history_file = self.Param[str]("PriceHistoryFile", None) \
.SetDisplay("PriceHistoryFile", "Optional daily close CSV for warmup; current and future dates cannot prefill a decision", "Parameters")
self._benchmark_security = self.Param[Security]("BenchmarkSecurity", None).SetRequired() \
.SetDisplay("BenchmarkSecurity", "Market benchmark for synchronized daily simple returns", "Parameters")
self._window_days = self.Param("WindowDays", 252).SetGreaterThanZero() \
.SetDisplay("WindowDays", "Daily return pairs required by each covariance estimate", "Parameters")
self._clear_state()
def _clear_state(self):
self._securities = []
self._latest = {}
self._history = {}
self._targets = {}
self._pending = []
self._last_rebalance = 0
self._last_bar = None
@property
def Universe(self):
return self._universe.Value
@Universe.setter
def Universe(self, value):
self._universe.Value = value
@property
def Capital(self):
return self._capital.Value
@Capital.setter
def Capital(self, value):
self._capital.Value = value
@property
def Leverage(self):
return self._leverage.Value
@Leverage.setter
def Leverage(self, value):
self._leverage.Value = value
@property
def MinTradeUsd(self):
return self._min_trade_usd.Value
@MinTradeUsd.setter
def MinTradeUsd(self, value):
self._min_trade_usd.Value = value
@property
def CandleType(self):
return self._candle_type.Value
@CandleType.setter
def CandleType(self, value):
self._candle_type.Value = value
@property
def Deciles(self):
return self._deciles.Value
@Deciles.setter
def Deciles(self, value):
self._deciles.Value = value
@property
def PriceHistoryFile(self):
return self._price_history_file.Value
@PriceHistoryFile.setter
def PriceHistoryFile(self, value):
self._price_history_file.Value = value
@property
def BenchmarkSecurity(self):
return self._benchmark_security.Value
@BenchmarkSecurity.setter
def BenchmarkSecurity(self, value):
self._benchmark_security.Value = value
@property
def WindowDays(self):
return self._window_days.Value
@WindowDays.setter
def WindowDays(self, value):
self._window_days.Value = value
def GetWorkingSecurities(self):
securities = list(self.Universe) if self.Universe is not None else []
if self.BenchmarkSecurity is not None and self.BenchmarkSecurity not in securities:
securities.append(self.BenchmarkSecurity)
return [(s, self.CandleType) for s in securities]
def OnReseted(self):
super(betting_against_beta_stocks_strategy, self).OnReseted()
self._clear_state()
def OnStarted2(self, time):
self._securities = list(self.Universe) if self.Universe is not None else []
if not self._securities or any(s is None or not s.Id for s in self._securities) or len(set(s.Id.upper() for s in self._securities)) != len(self._securities):
raise InvalidOperationException("Universe must contain distinct execution securities.")
if self.BenchmarkSecurity is None:
raise InvalidOperationException("BenchmarkSecurity is required.")
for s, dt in self.GetWorkingSecurities():
if s.VolumeStep is None or s.MinVolume is None or s.MaxVolume is None or s.VolumeStep <= 0 or s.MinVolume <= 0 or s.MaxVolume <= 0:
raise InvalidOperationException("Every security needs positive VolumeStep, MinVolume and MaxVolume.")
self._history[s] = {}
self._load_price_history()
super(betting_against_beta_stocks_strategy, self).OnStarted2(time)
for security, dt in self.GetWorkingSecurities():
self.SubscribeCandles(dt, True, security).Bind(lambda candle, s=security: self._process_candle(s, candle)).Start()
def _process_candle(self, security, candle):
if candle.State != CandleStates.Finished or candle.ClosePrice <= 0:
return
self._latest[security] = (candle.OpenTime, candle.ClosePrice)
self._history[security][candle.OpenTime.Date] = candle.ClosePrice
if len(self._latest) != len(self._history) or any(t != candle.OpenTime for t, p in self._latest.values()) or self._last_bar == candle.OpenTime or not self.IsFormedAndOnlineAndAllowTrading():
return
self._last_bar = candle.OpenTime
month = candle.OpenTime.Year * 100 + candle.OpenTime.Month
if self._last_rebalance != month and self._select_targets(candle.OpenTime):
self._last_rebalance = month
self._reconcile_targets()
def _daily(self, security, time):
return [self._history[security][d] for d in sorted(self._history[security]) if d <= self._last_closed_date(time)]
def _last_closed_date(self, time):
return time.Date if self.CandleType.Arg == TimeSpan.FromDays(1) else time.Date.AddDays(-1)
def _units(self, security, notional):
return Math.Floor(notional / self._latest[security][1] / security.VolumeStep) * security.VolumeStep
def _reconcile_targets(self):
if any(o.State != OrderStates.Done and o.State != OrderStates.Failed for o in self._pending):
return
self._pending = []
for security in self._securities:
if security not in self._targets:
continue
target = self._targets[security]
position = self.GetPositionValue(security, self.Portfolio)
delta = target - (position if position is not None else Decimal(0))
if delta == 0 or (target != 0 and abs(delta) * self._latest[security][1] < self.MinTradeUsd):
continue
quantity = Math.Floor(min(abs(delta), security.MaxVolume) / security.VolumeStep) * security.VolumeStep
if quantity < security.MinVolume:
continue
order = Order()
order.Security = security
order.Portfolio = self.Portfolio
order.Type = OrderTypes.Market
order.Side = Sides.Buy if delta > 0 else Sides.Sell
order.Volume = quantity
order.Comment = "0354Rebalance"
self._pending.append(order)
self.RegisterOrder(order)
def _load_price_history(self):
if not self.PriceHistoryFile:
return
lines = iter(File.ReadLines(self.PriceHistoryFile))
if next(lines, "").strip() != "SecurityId,Date,Close":
raise InvalidOperationException("Price history must begin with SecurityId,Date,Close.")
for line in lines:
if not line.strip():
continue
row = line.split(",")
if len(row) != 3:
raise InvalidOperationException("A daily price row must have three fields.")
security = next((s for s in self._history if s.Id.lower() == row[0].strip().lower()), None)
if security is None:
continue
date = DateTime.ParseExact(row[1].strip(), "yyyy-MM-dd", CultureInfo.InvariantCulture)
price = Decimal.Parse(row[2], CultureInfo.InvariantCulture)
if price <= 0 or date in self._history[security]:
raise InvalidOperationException("Daily prices must be positive and unique per security and UTC date.")
self._history[security][date] = price
def _select_targets(self, time):
streams = list(self._securities)
if self.BenchmarkSecurity not in streams:
streams.append(self.BenchmarkSecurity)
dates = set(d for d in self._history[streams[0]] if d <= self._last_closed_date(time))
for s in streams[1:]:
dates.intersection_update(d for d in self._history[s] if d <= self._last_closed_date(time))
dates = sorted(dates)[-self.WindowDays - 1:]
if len(dates) < self.WindowDays + 1:
return False
def returns(s):
return [self._history[s][dates[i + 1]] / self._history[s][dates[i]] - Decimal(1)
for i in range(self.WindowDays)]
benchmark = returns(self.BenchmarkSecurity)
mean = sum(benchmark, Decimal(0)) / Decimal(len(benchmark))
variance = sum(((r - mean) * (r - mean) for r in benchmark), Decimal(0))
if variance <= 0:
return False
scores = []
for s in self._securities:
values = returns(s)
average = sum(values, Decimal(0)) / Decimal(len(values))
beta = sum(((r - average) * (b - mean) for r, b in zip(values, benchmark)), Decimal(0)) / variance
scores.append((s, beta))
ranked = [s for s, beta in sorted(scores, key=lambda x: (x[1], x[0].Id))]
if len(ranked) < self.Deciles:
return False
count = len(ranked) // self.Deciles
self._set_basket_targets(ranked[:count], ranked[-count:], self.Capital * self.Leverage)
return True
def _set_basket_targets(self, longs, shorts, gross_capital):
self._targets = dict((s, Decimal(0)) for s in self._securities)
for s in longs:
self._targets[s] = self._units(s, gross_capital / Decimal(2 * len(longs)))
for s in shorts:
self._targets[s] = -self._units(s, gross_capital / Decimal(2 * len(shorts)))
def CreateClone(self):
return betting_against_beta_stocks_strategy()