My First Commit
This commit is contained in:
@@ -427,14 +427,16 @@ class BacktestResult:
|
||||
trd["open_scaled_disequilibrium"] is not None
|
||||
and trd["open_scaled_disequilibrium"] is not None
|
||||
):
|
||||
disequil_info = f" | Open Dis-eq: {trd['open_scaled_disequilibrium']:.2f},"
|
||||
f" Close Dis-eq: {trd['open_scaled_disequilibrium']:.2f}"
|
||||
disequil_info = (
|
||||
f' | Open Dis-eq: {trd["open_scaled_disequilibrium"]:.2f},'
|
||||
f' Close Dis-eq: {trd["close_scaled_disequilibrium"]:.2f}'
|
||||
)
|
||||
|
||||
print(
|
||||
f" {trd['open_time'].time()}-{trd['close_time'].time()} {trd['symbol']}: "
|
||||
f" {trd['open_side']} @ ${trd['open_price']:.2f},"
|
||||
f" {trd["close_side"]} @ ${trd["close_price"]:.2f},"
|
||||
f" Return: {trd['symbol_return']:.2f}%{disequil_info}"
|
||||
f' {trd["open_time"].time()}-{trd["close_time"].time()} {trd["symbol"]}: '
|
||||
f' {trd["open_side"]} @ ${trd["open_price"]:.2f},'
|
||||
f' {trd["close_side"]} @ ${trd["close_price"]:.2f},'
|
||||
f' Return: {trd["symbol_return"]:.2f}%{disequil_info}'
|
||||
)
|
||||
pair_return += trd["symbol_return"]
|
||||
|
||||
|
||||
@@ -188,7 +188,8 @@ class RollingFit(PairsTradingFitMethod):
|
||||
open_px_b = open_row[f"{colname_b}"]
|
||||
|
||||
# creating the trades
|
||||
print(f"OPEN_TRADES: {row["tstamp"]} {open_scaled_disequilibrium=}")
|
||||
# use outer single quotes so we can reference DataFrame keys with double quotes inside
|
||||
print(f'OPEN_TRADES: {open_tstamp} open_scaled_disequilibrium={open_scaled_disequilibrium}')
|
||||
if open_disequilibrium > 0:
|
||||
open_side_a = "SELL"
|
||||
open_side_b = "BUY"
|
||||
@@ -237,10 +238,7 @@ class RollingFit(PairsTradingFitMethod):
|
||||
),
|
||||
]
|
||||
# Create DataFrame with explicit dtypes to avoid concatenation warnings
|
||||
df = pd.DataFrame(
|
||||
trd_signal_tuples,
|
||||
columns=self.TRADES_COLUMNS,
|
||||
)
|
||||
df = pd.DataFrame(trd_signal_tuples, columns=self.TRADES_COLUMNS)
|
||||
# Ensure consistent dtypes
|
||||
return df.astype(
|
||||
{
|
||||
|
||||
@@ -1,14 +1,47 @@
|
||||
# original script moved to vecm_rolling_fit_01.py
|
||||
|
||||
# 09.09.25 Added GARCH model - predicting volatility
|
||||
|
||||
# Rule of thumb:
|
||||
# alpha + beta ≈ 1 → strong volatility clustering, persistence.
|
||||
# If much lower → volatility mean reverts quickly.
|
||||
# If > 1 → model is unstable / non-stationary (bad).
|
||||
|
||||
# the VECM disequilibrium (mean reversion signal) and
|
||||
# the GARCH volatility forecast (risk measure).
|
||||
# combine them → e.g., only enter trades when:
|
||||
|
||||
# high_volatility = 1 → persistence > 0.95 or volatility > 2 (rule of thumb: unstable / risky regime).
|
||||
# high_volatility = 0 → stable regime.
|
||||
|
||||
|
||||
# VECM disequilibrium z-score > threshold and
|
||||
# GARCH-forecasted volatility is not too high (avoid noise-driven signals).
|
||||
# This creates a volatility-adjusted pairs trading strategy, more robust than plain VECM
|
||||
|
||||
# now pair_predict_result_ DataFrame includes:
|
||||
# disequilibrium, scaled_disequilibrium, z-scores, garch_alpha, garch_beta, garch_persistence (α+β rule-of-thumb)
|
||||
# garch_vol_forecast (1-step volatility forecast)
|
||||
|
||||
# Would you like me to also add a warning flag column
|
||||
# (e.g., "high_volatility" = 1 if persistence > 0.95 or vol_forecast > threshold)
|
||||
# so you can easily detect unstable regimes?
|
||||
|
||||
# VECM/GARCH
|
||||
# vecm_rolling_fit.py:
|
||||
from typing import Any, Dict, Optional, cast
|
||||
|
||||
import numpy as np
|
||||
import pandas as pd
|
||||
from typing import Any, Dict, Optional
|
||||
from pt_trading.results import BacktestResult
|
||||
from pt_trading.rolling_window_fit import RollingFit
|
||||
from pt_trading.trading_pair import TradingPair
|
||||
from statsmodels.tsa.vector_ar.vecm import VECM, VECMResults
|
||||
from arch import arch_model
|
||||
|
||||
NanoPerMin = 1e9
|
||||
|
||||
|
||||
class VECMTradingPair(TradingPair):
|
||||
vecm_fit_: Optional[VECMResults]
|
||||
pair_predict_result_: Optional[pd.DataFrame]
|
||||
@@ -23,20 +56,23 @@ class VECMTradingPair(TradingPair):
|
||||
super().__init__(config, market_data, symbol_a, symbol_b)
|
||||
self.vecm_fit_ = None
|
||||
self.pair_predict_result_ = None
|
||||
self.garch_fit_ = None
|
||||
self.sigma_spread_forecast_ = None
|
||||
self.garch_alpha_ = None
|
||||
self.garch_beta_ = None
|
||||
self.garch_persistence_ = None
|
||||
self.high_volatility_flag_ = None
|
||||
|
||||
def _train_pair(self) -> None:
|
||||
self._fit_VECM()
|
||||
assert self.vecm_fit_ is not None
|
||||
|
||||
diseq_series = self.training_df_[self.colnames()] @ self.vecm_fit_.beta
|
||||
# print(diseq_series.shape)
|
||||
self.training_mu_ = float(diseq_series[0].mean())
|
||||
self.training_std_ = float(diseq_series[0].std())
|
||||
|
||||
self.training_df_["dis-equilibrium"] = (
|
||||
self.training_df_[self.colnames()] @ self.vecm_fit_.beta
|
||||
)
|
||||
# Normalize the dis-equilibrium
|
||||
self.training_df_["scaled_dis-equilibrium"] = (
|
||||
self.training_df_["disequilibrium"] = diseq_series
|
||||
self.training_df_["scaled_disequilibrium"] = (
|
||||
diseq_series - self.training_mu_
|
||||
) / self.training_std_
|
||||
|
||||
@@ -45,61 +81,96 @@ class VECMTradingPair(TradingPair):
|
||||
vecm_df = self.training_df_[self.colnames()].reset_index(drop=True)
|
||||
vecm_model = VECM(vecm_df, coint_rank=1)
|
||||
vecm_fit = vecm_model.fit()
|
||||
|
||||
assert vecm_fit is not None
|
||||
|
||||
# URGENT check beta and alpha
|
||||
|
||||
# Check if the model converged properly
|
||||
if not hasattr(vecm_fit, "beta") or vecm_fit.beta is None:
|
||||
print(f"{self}: VECM model failed to converge properly")
|
||||
|
||||
self.vecm_fit_ = vecm_fit
|
||||
pass
|
||||
|
||||
# Error Correction Term (spread)
|
||||
ect_series = (vecm_df @ vecm_fit.beta).iloc[:, 0]
|
||||
|
||||
# Difference the spread for stationarity
|
||||
dz = ect_series.diff().dropna()
|
||||
|
||||
if len(dz) < 30:
|
||||
print("Not enough data for GARCH fitting.")
|
||||
return
|
||||
|
||||
# Rescale if variance too small
|
||||
if dz.std() < 0.1:
|
||||
dz = dz * 1000
|
||||
# print("Scale check:", dz.std())
|
||||
|
||||
try:
|
||||
garch = arch_model(dz, vol="GARCH", p=1, q=1, mean="Zero", dist="normal")
|
||||
garch_fit = garch.fit(disp="off")
|
||||
self.garch_fit_ = garch_fit
|
||||
|
||||
# Extract parameters
|
||||
params = garch_fit.params
|
||||
self.garch_alpha_ = params.get("alpha[1]", np.nan)
|
||||
self.garch_beta_ = params.get("beta[1]", np.nan)
|
||||
self.garch_persistence_ = self.garch_alpha_ + self.garch_beta_
|
||||
|
||||
# print (f"GARCH α: {self.garch_alpha_:.4f}, β: {self.garch_beta_:.4f}, "
|
||||
# f"α+β (persistence): {self.garch_persistence_:.4f}")
|
||||
|
||||
# One-step-ahead volatility forecast
|
||||
forecast = garch_fit.forecast(horizon=1)
|
||||
sigma_next = np.sqrt(forecast.variance.iloc[-1, 0])
|
||||
self.sigma_spread_forecast_ = float(sigma_next)
|
||||
# print("GARCH sigma forecast:", self.sigma_spread_forecast_)
|
||||
|
||||
# Rule of thumb: persistence close to 1 or large volatility forecast
|
||||
self.high_volatility_flag_ = int(
|
||||
(self.garch_persistence_ is not None and self.garch_persistence_ > 0.95)
|
||||
or (self.sigma_spread_forecast_ is not None and self.sigma_spread_forecast_ > 2)
|
||||
)
|
||||
|
||||
except Exception as e:
|
||||
print(f"GARCH fit failed: {e}")
|
||||
self.garch_fit_ = None
|
||||
self.sigma_spread_forecast_ = None
|
||||
self.high_volatility_flag_ = None
|
||||
|
||||
def predict(self) -> pd.DataFrame:
|
||||
self._train_pair()
|
||||
|
||||
assert self.testing_df_ is not None
|
||||
assert self.vecm_fit_ is not None
|
||||
|
||||
# VECM predictions
|
||||
predicted_prices = self.vecm_fit_.predict(steps=len(self.testing_df_))
|
||||
|
||||
# Convert prediction to a DataFrame for readability
|
||||
predicted_df = pd.DataFrame(
|
||||
predicted_prices, columns=pd.Index(self.colnames()), dtype=float
|
||||
)
|
||||
|
||||
predicted_df = pd.merge(
|
||||
self.testing_df_.reset_index(drop=True),
|
||||
pd.DataFrame(
|
||||
predicted_prices, columns=pd.Index(self.colnames()), dtype=float
|
||||
),
|
||||
pd.DataFrame(predicted_prices, columns=pd.Index(self.colnames()), dtype=float),
|
||||
left_index=True,
|
||||
right_index=True,
|
||||
suffixes=("", "_pred"),
|
||||
).dropna()
|
||||
|
||||
# Disequilibrium and z-scores
|
||||
predicted_df["disequilibrium"] = (
|
||||
predicted_df[self.colnames()] @ self.vecm_fit_.beta
|
||||
)
|
||||
|
||||
predicted_df["signed_scaled_disequilibrium"] = (
|
||||
predicted_df["disequilibrium"] - self.training_mu_
|
||||
) / self.training_std_
|
||||
|
||||
predicted_df["scaled_disequilibrium"] = abs(
|
||||
predicted_df["signed_scaled_disequilibrium"]
|
||||
)
|
||||
|
||||
predicted_df = predicted_df.reset_index(drop=True)
|
||||
# Add GARCH parameters + volatility forecast
|
||||
predicted_df["garch_alpha"] = self.garch_alpha_
|
||||
predicted_df["garch_beta"] = self.garch_beta_
|
||||
predicted_df["garch_persistence"] = self.garch_persistence_
|
||||
predicted_df["garch_vol_forecast"] = self.sigma_spread_forecast_
|
||||
predicted_df["high_volatility"] = self.high_volatility_flag_
|
||||
|
||||
# Save results
|
||||
if self.pair_predict_result_ is None:
|
||||
self.pair_predict_result_ = predicted_df
|
||||
else:
|
||||
self.pair_predict_result_ = pd.concat(
|
||||
[self.pair_predict_result_, predicted_df], ignore_index=True
|
||||
)
|
||||
# Reset index to ensure proper indexing
|
||||
self.pair_predict_result_ = self.pair_predict_result_.reset_index(drop=True)
|
||||
|
||||
return self.pair_predict_result_
|
||||
|
||||
|
||||
@@ -117,6 +188,6 @@ class VECMRollingFit(RollingFit):
|
||||
return VECMTradingPair(
|
||||
config=config,
|
||||
market_data=market_data,
|
||||
symbol_a=symbol_a,
|
||||
symbol_b=symbol_b,
|
||||
)
|
||||
symbol_a = symbol_a,
|
||||
symbol_b = symbol_b,
|
||||
)
|
||||
@@ -1,18 +1,28 @@
|
||||
from typing import Any, Dict, Optional, cast
|
||||
from typing import Any, Dict, Optional
|
||||
|
||||
import pandas as pd
|
||||
from pt_trading.results import BacktestResult
|
||||
import statsmodels.api as sm
|
||||
|
||||
from pt_trading.rolling_window_fit import RollingFit
|
||||
from pt_trading.trading_pair import TradingPair
|
||||
import statsmodels.api as sm
|
||||
|
||||
NanoPerMin = 1e9
|
||||
|
||||
|
||||
class ZScoreTradingPair(TradingPair):
|
||||
"""TradingPair implementation that fits a hedge ratio with OLS and
|
||||
computes a standardized spread (z-score).
|
||||
|
||||
The class stores training spread mean/std and hedge ratio so the model
|
||||
can be applied to testing data consistently.
|
||||
"""
|
||||
|
||||
zscore_model_: Optional[sm.regression.linear_model.RegressionResultsWrapper]
|
||||
pair_predict_result_: Optional[pd.DataFrame]
|
||||
zscore_df_: Optional[pd.DataFrame]
|
||||
zscore_df_: Optional[pd.Series]
|
||||
hedge_ratio_: Optional[float]
|
||||
spread_mean_: Optional[float]
|
||||
spread_std_: Optional[float]
|
||||
|
||||
def __init__(
|
||||
self,
|
||||
@@ -25,47 +35,79 @@ class ZScoreTradingPair(TradingPair):
|
||||
self.zscore_model_ = None
|
||||
self.pair_predict_result_ = None
|
||||
self.zscore_df_ = None
|
||||
self.hedge_ratio_ = None
|
||||
self.spread_mean_ = None
|
||||
self.spread_std_ = None
|
||||
|
||||
def _fit_zscore(self) -> None:
|
||||
"""Fit OLS on the training window and compute training z-score."""
|
||||
assert self.training_df_ is not None
|
||||
symbol_a_px_series = self.training_df_[self.colnames()].iloc[:, 0]
|
||||
symbol_b_px_series = self.training_df_[self.colnames()].iloc[:, 1]
|
||||
|
||||
symbol_a_px_series, symbol_b_px_series = symbol_a_px_series.align(
|
||||
symbol_b_px_series, axis=0
|
||||
)
|
||||
# Extract price series for the two symbols from the training frame.
|
||||
px_df = self.training_df_[self.colnames()]
|
||||
symbol_a_px = px_df.iloc[:, 0]
|
||||
symbol_b_px = px_df.iloc[:, 1]
|
||||
|
||||
X = sm.add_constant(symbol_b_px_series)
|
||||
self.zscore_model_ = sm.OLS(symbol_a_px_series, X).fit()
|
||||
assert self.zscore_model_ is not None
|
||||
hedge_ratio = self.zscore_model_.params.iloc[1]
|
||||
# Align indexes and fit OLS: symbol_a ~ const + symbol_b
|
||||
symbol_a_px, symbol_b_px = symbol_a_px.align(symbol_b_px, join="inner")
|
||||
X = sm.add_constant(symbol_b_px)
|
||||
self.zscore_model_ = sm.OLS(symbol_a_px, X).fit()
|
||||
|
||||
# Calculate spread and Z-score
|
||||
spread = symbol_a_px_series - hedge_ratio * symbol_b_px_series
|
||||
self.zscore_df_ = (spread - spread.mean()) / spread.std()
|
||||
# Hedge ratio is the slope on symbol_b
|
||||
params = self.zscore_model_.params
|
||||
self.hedge_ratio_ = float(params.iloc[1]) if len(params) > 1 else 0.0
|
||||
|
||||
# Training spread and its standardized z-score
|
||||
spread = symbol_a_px - self.hedge_ratio_ * symbol_b_px
|
||||
self.spread_mean_ = float(spread.mean())
|
||||
self.spread_std_ = float(spread.std(ddof=0)) if spread.std(ddof=0) != 0 else 1.0
|
||||
self.zscore_df_ = (spread - self.spread_mean_) / self.spread_std_
|
||||
|
||||
def predict(self) -> pd.DataFrame:
|
||||
"""Apply fitted hedge ratio to the testing frame and return a
|
||||
dataframe with canonical columns:
|
||||
- disequilibrium: signed z-score
|
||||
- scaled_disequilibrium: absolute z-score
|
||||
- signed_scaled_disequilibrium: same as disequilibrium (keeps sign)
|
||||
"""
|
||||
# Fit on training window
|
||||
self._fit_zscore()
|
||||
assert self.zscore_df_ is not None
|
||||
self.training_df_["dis-equilibrium"] = self.zscore_df_
|
||||
self.training_df_["scaled_dis-equilibrium"] = abs(self.zscore_df_)
|
||||
assert self.hedge_ratio_ is not None
|
||||
assert self.spread_mean_ is not None and self.spread_std_ is not None
|
||||
|
||||
# Keep training columns for inspection
|
||||
self.training_df_["disequilibrium"] = self.zscore_df_
|
||||
self.training_df_["scaled_disequilibrium"] = self.zscore_df_.abs()
|
||||
|
||||
# Apply model to testing frame
|
||||
assert self.testing_df_ is not None
|
||||
assert self.zscore_df_ is not None
|
||||
predicted_df = self.testing_df_
|
||||
test_df = self.testing_df_.copy()
|
||||
px_test = test_df[self.colnames()]
|
||||
a_test = px_test.iloc[:, 0]
|
||||
b_test = px_test.iloc[:, 1]
|
||||
a_test, b_test = a_test.align(b_test, join="inner")
|
||||
|
||||
predicted_df["disequilibrium"] = self.zscore_df_
|
||||
predicted_df["signed_scaled_disequilibrium"] = self.zscore_df_
|
||||
predicted_df["scaled_disequilibrium"] = abs(self.zscore_df_)
|
||||
# Compute test spread and standardize using training mean/std
|
||||
test_spread = a_test - self.hedge_ratio_ * b_test
|
||||
test_zscore = (test_spread - self.spread_mean_) / self.spread_std_
|
||||
|
||||
predicted_df = predicted_df.reset_index(drop=True)
|
||||
# Attach canonical columns
|
||||
# Align back to test_df index if needed
|
||||
test_zscore = test_zscore.reindex(test_df.index)
|
||||
test_df["disequilibrium"] = test_zscore
|
||||
test_df["signed_scaled_disequilibrium"] = test_zscore
|
||||
test_df["scaled_disequilibrium"] = test_zscore.abs()
|
||||
|
||||
# Reset index and accumulate results across windows
|
||||
test_df = test_df.reset_index(drop=True)
|
||||
if self.pair_predict_result_ is None:
|
||||
self.pair_predict_result_ = predicted_df
|
||||
self.pair_predict_result_ = test_df
|
||||
else:
|
||||
self.pair_predict_result_ = pd.concat(
|
||||
[self.pair_predict_result_, predicted_df], ignore_index=True
|
||||
[self.pair_predict_result_, test_df], ignore_index=True
|
||||
)
|
||||
# Reset index to ensure proper indexing
|
||||
|
||||
self.pair_predict_result_ = self.pair_predict_result_.reset_index(drop=True)
|
||||
return self.pair_predict_result_.dropna()
|
||||
|
||||
@@ -78,8 +120,5 @@ class ZScoreRollingFit(RollingFit):
|
||||
self, config: Dict, market_data: pd.DataFrame, symbol_a: str, symbol_b: str
|
||||
) -> TradingPair:
|
||||
return ZScoreTradingPair(
|
||||
config=config,
|
||||
market_data=market_data,
|
||||
symbol_a=symbol_a,
|
||||
symbol_b=symbol_b,
|
||||
config=config, market_data=market_data, symbol_a=symbol_a, symbol_b=symbol_b
|
||||
)
|
||||
|
||||
Reference in New Issue
Block a user