{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Below is an integrated pipeline that ties together the various tools we discussed: \n",
"\n",
"Pair Selection: \n",
"– Use correlation and cointegration to narrow down candidate pairs. \n",
"– Optionally, use PCA and clustering to further group similar assets. \n",
"\n",
"Dynamic Signal Generation: \n",
"– Once a pair is selected, use a Kalman Filter to dynamically estimate the hedge ratio (and thus the spread) between the two assets. \n",
"– Compute a rolling z‑score (or use the filter’s estimates) to generate entry/exit signals. \n",
"\n",
"Backtesting: \n",
"– Use vectorbt (or any backtesting framework) to simulate the paired trades based on the adaptive signals. "
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"✅ Found 2061 symbols in MT5\n",
"📊 Data Loaded for 25 Symbols\n"
]
}
],
"source": [
"import MetaTrader5 as mt5\n",
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from statsmodels.tsa.stattools import coint\n",
"from sklearn.decomposition import PCA\n",
"from sklearn.cluster import KMeans\n",
"from pykalman import KalmanFilter\n",
"import vectorbt as vbt\n",
"\n",
"# -------------------------------\n",
"# Step 1: Data Loading using MT5 API\n",
"# -------------------------------\n",
"if not mt5.initialize():\n",
" print(\"MT5 Initialization Failed\")\n",
" mt5.shutdown()\n",
" quit()\n",
"\n",
"# Retrieve all symbols from MT5\n",
"symbols = [s.name for s in mt5.symbols_get()]\n",
"print(f\"✅ Found {len(symbols)} symbols in MT5\")\n",
"\n",
"# Limit to top 50 symbols for performance\n",
"symbols = symbols[:50]\n",
"\n",
"# Function to fetch historical data from MT5\n",
"def get_mt5_data(symbol, n_bars=1000, timeframe=mt5.TIMEFRAME_D1):\n",
" rates = mt5.copy_rates_from_pos(symbol, timeframe, 0, n_bars)\n",
" if rates is None:\n",
" print(f\"⚠️ Could not retrieve data for {symbol}\")\n",
" return None\n",
" df = pd.DataFrame(rates)\n",
" df[\"time\"] = pd.to_datetime(df[\"time\"], unit=\"s\")\n",
" df.set_index(\"time\", inplace=True)\n",
" return df[[\"close\"]]\n",
"\n",
"# Load data for all symbols\n",
"data = {symbol: get_mt5_data(symbol) for symbol in symbols if get_mt5_data(symbol) is not None}\n",
"\n",
"# Merge data into one DataFrame with a multi-index (symbol, feature)\n",
"df = pd.concat(data.values(), axis=1, keys=data.keys()).dropna()\n",
"print(f\"📊 Data Loaded for {len(df.columns)//2} Symbols\")\n"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Correlation Matrix:\n",
" EURUSD GBPUSD USDCHF USDJPY USDCAD AUDUSD AUDNZD \\\n",
"EURUSD 1.000000 0.780128 -0.736896 -0.434969 -0.586613 0.674502 0.020042 \n",
"GBPUSD 0.780128 1.000000 -0.619409 -0.420554 -0.630336 0.719728 0.021344 \n",
"USDCHF -0.736896 -0.619409 1.000000 0.540276 0.493095 -0.589198 0.024836 \n",
"USDJPY -0.434969 -0.420554 0.540276 1.000000 0.252563 -0.407078 0.092968 \n",
"USDCAD -0.586613 -0.630336 0.493095 0.252563 1.000000 -0.775543 -0.175122 \n",
"AUDUSD 0.674502 0.719728 -0.589198 -0.407078 -0.775543 1.000000 0.254445 \n",
"AUDNZD 0.020042 0.021344 0.024836 0.092968 -0.175122 0.254445 1.000000 \n",
"AUDCAD 0.466675 0.494919 -0.427767 -0.381727 -0.218942 0.785352 0.220496 \n",
"AUDCHF 0.150693 0.312526 0.190804 -0.003642 -0.495450 0.680458 0.332438 \n",
"AUDJPY 0.247187 0.302866 -0.073294 0.508348 -0.505924 0.579337 0.322672 \n",
"CHFJPY 0.164979 0.075318 -0.279135 0.656318 -0.154203 0.064901 0.088684 \n",
"EURGBP 0.129716 -0.517883 -0.022158 0.075540 0.200760 -0.220507 -0.003304 \n",
"EURAUD 0.076317 -0.201345 0.069790 0.123846 0.467535 -0.683390 -0.314569 \n",
"EURJPY 0.349502 0.187286 -0.029188 0.691392 -0.207146 0.116779 0.113334 \n",
"EURCHF 0.337276 0.201239 0.387249 0.159975 -0.112317 0.098045 0.059334 \n",
"EURNZD 0.089424 -0.189548 0.084643 0.181434 0.358556 -0.522560 0.315850 \n",
"EURCAD 0.570032 0.269095 -0.358609 -0.250556 0.330649 -0.001048 -0.153771 \n",
"GBPCHF 0.157704 0.548169 0.316533 0.067746 -0.236948 0.242437 0.052546 \n",
"GBPJPY 0.255988 0.461779 -0.012844 0.610297 -0.303377 0.230589 0.110227 \n",
"CADCHF -0.252025 -0.087914 0.616146 0.347262 -0.379968 0.076600 0.188453 \n",
"CADJPY -0.038807 0.001811 0.198868 0.788334 -0.395077 0.107089 0.202341 \n",
"GBPAUD -0.018070 0.182280 0.092229 0.075331 0.340525 -0.549892 -0.325153 \n",
"GBPCAD 0.432050 0.671358 -0.317319 -0.294898 0.151622 0.175517 -0.140375 \n",
"GBPNZD -0.004872 0.193578 0.108581 0.133700 0.225985 -0.382261 0.335656 \n",
"NZDCAD 0.415465 0.439923 -0.409072 -0.406133 -0.087239 0.551517 -0.451996 \n",
"NZDCHF 0.144437 0.309318 0.180933 -0.055658 -0.409912 0.553028 -0.235439 \n",
"NZDJPY 0.250581 0.307299 -0.088876 0.489990 -0.451117 0.490462 -0.119616 \n",
"NZDUSD 0.673139 0.718219 -0.607766 -0.451989 -0.702332 0.891053 -0.208942 \n",
"USDSGD -0.808615 -0.750526 0.682546 0.563995 0.656198 -0.793887 -0.041271 \n",
"AUDSGD 0.442617 0.545053 -0.400662 -0.215658 -0.689571 0.919537 0.338295 \n",
"CHFSGD 0.335283 0.222428 -0.789993 -0.261336 -0.130315 0.147784 -0.055654 \n",
"EURDKK -0.011267 -0.036107 0.011558 -0.010886 0.002326 -0.030063 0.031869 \n",
"EURHKD 0.994846 0.772789 -0.729696 -0.431183 -0.581641 0.669474 0.024709 \n",
"EURNOK -0.151581 -0.308677 0.197846 0.150674 0.519171 -0.517902 -0.086608 \n",
"EURPLN -0.304999 -0.263237 0.154693 0.122370 0.287150 -0.280998 -0.025852 \n",
"EURSEK -0.267557 -0.340078 0.262215 0.165725 0.403234 -0.456200 -0.050783 \n",
"EURSGD 0.807214 0.509212 -0.506677 -0.134883 -0.292870 0.296343 -0.004976 \n",
"EURTRY 0.333257 0.269465 -0.246226 -0.131904 -0.182316 0.199602 0.006226 \n",
"EURZAR 0.044968 -0.103782 0.028639 0.086699 0.197120 -0.274857 -0.083140 \n",
"GBPDKK -0.131499 0.515171 0.030288 -0.066628 -0.200157 0.219327 0.012875 \n",
"GBPNOK -0.230155 0.020595 0.209628 0.107297 0.379954 -0.367915 -0.078186 \n",
"GBPSEK -0.315768 0.087188 0.238888 0.090355 0.196097 -0.224007 -0.033351 \n",
"GBPSGD 0.496274 0.856301 -0.358180 -0.159346 -0.400840 0.423732 0.005438 \n",
"GBPTRY 0.281417 0.389010 -0.220466 -0.139287 -0.221339 0.241587 0.008949 \n",
"NOKJPY 0.367305 0.362742 -0.151723 0.415457 -0.513605 0.448873 0.157618 \n",
"NOKSEK -0.049602 0.074701 0.003827 -0.022183 -0.244101 0.203806 0.070538 \n",
"SEKJPY 0.427013 0.338836 -0.161708 0.471799 -0.391819 0.346699 0.126414 \n",
"SGDJPY -0.061900 -0.078301 0.259451 0.881815 -0.070735 -0.034588 0.147259 \n",
"USDCNH -0.571956 -0.545428 0.498127 0.422045 0.486012 -0.597839 -0.046366 \n",
"USDCZK -0.881107 -0.697077 0.646868 0.385782 0.558194 -0.620403 -0.000073 \n",
"\n",
" AUDCAD AUDCHF AUDJPY ... GBPNOK GBPSEK GBPSGD \\\n",
"EURUSD 0.466675 0.150693 0.247187 ... -0.230155 -0.315768 0.496274 \n",
"GBPUSD 0.494919 0.312526 0.302866 ... 0.020595 0.087188 0.856301 \n",
"USDCHF -0.427767 0.190804 -0.073294 ... 0.209628 0.238888 -0.358180 \n",
"USDJPY -0.381727 -0.003642 0.508348 ... 0.107297 0.090355 -0.159346 \n",
"USDCAD -0.218942 -0.495450 -0.505924 ... 0.379954 0.196097 -0.400840 \n",
"AUDUSD 0.785352 0.680458 0.579337 ... -0.367915 -0.224007 0.423732 \n",
"AUDNZD 0.220496 0.332438 0.322672 ... -0.078186 -0.033351 0.005438 \n",
"AUDCAD 1.000000 0.565956 0.399575 ... -0.196221 -0.153524 0.262599 \n",
"AUDCHF 0.565956 1.000000 0.638453 ... -0.256766 -0.054440 0.190713 \n",
"AUDJPY 0.399575 0.638453 1.000000 ... -0.250614 -0.129661 0.256832 \n",
"CHFJPY -0.050720 -0.173207 0.646573 ... -0.063442 -0.110353 0.140370 \n",
"EURGBP -0.146002 -0.288362 -0.140673 ... -0.341194 -0.565890 -0.675112 \n",
"EURAUD -0.599313 -0.767567 -0.534300 ... 0.273187 -0.007963 -0.077966 \n",
"EURJPY -0.023343 0.116142 0.726552 ... -0.073037 -0.158512 0.231417 \n",
"EURCHF 0.039792 0.469541 0.234600 ... -0.023426 -0.097946 0.178234 \n",
"EURNZD -0.458246 -0.558219 -0.331283 ... 0.221284 -0.031043 -0.080747 \n",
"EURCAD 0.321503 -0.327312 -0.225228 ... 0.117067 -0.168921 0.171733 \n",
"GBPCHF 0.142527 0.581423 0.288795 ... 0.247214 0.362134 0.653186 \n",
"GBPJPY 0.059248 0.269393 0.761640 ... 0.122838 0.165042 0.591761 \n",
"CADCHF -0.254767 0.651879 0.382185 ... -0.121187 0.074771 -0.016828 \n",
"CADJPY -0.221984 0.311628 0.804380 ... -0.138866 -0.039497 0.104590 \n",
"GBPAUD -0.516244 -0.584795 -0.451655 ... 0.548969 0.422677 0.433145 \n",
"GBPCAD 0.420465 -0.075036 -0.098236 ... 0.389177 0.299075 0.707910 \n",
"GBPNZD -0.369797 -0.365745 -0.241540 ... 0.494348 0.398800 0.429507 \n",
"NZDCAD 0.767643 0.298219 0.157431 ... -0.125556 -0.119188 0.242996 \n",
"NZDCHF 0.453129 0.835442 0.471793 ... -0.216859 -0.036481 0.196162 \n",
"NZDJPY 0.316314 0.515959 0.899567 ... -0.226732 -0.120895 0.268549 \n",
"NZDUSD 0.689204 0.530909 0.436685 ... -0.332387 -0.210989 0.430053 \n",
"USDSGD -0.583712 -0.344420 -0.244979 ... 0.291769 0.268401 -0.306053 \n",
"AUDSGD 0.745726 0.754451 0.674381 ... -0.340100 -0.151655 0.407408 \n",
"CHFSGD 0.100951 -0.535991 -0.093919 ... -0.042204 -0.107670 0.242536 \n",
"EURDKK -0.044080 -0.025725 -0.037852 ... -0.068231 -0.054789 -0.027115 \n",
"EURHKD 0.463624 0.150992 0.245835 ... -0.231851 -0.314401 0.492031 \n",
"EURNOK -0.292664 -0.449901 -0.353495 ... 0.797190 0.214135 -0.178615 \n",
"EURPLN -0.152179 -0.202186 -0.155986 ... 0.148743 0.215036 -0.138348 \n",
"EURSEK -0.310669 -0.315561 -0.280924 ... 0.376451 0.706847 -0.193384 \n",
"EURSGD 0.169826 -0.099198 0.158403 ... -0.082719 -0.246854 0.495780 \n",
"EURTRY 0.128421 0.019390 0.070045 ... -0.026937 -0.096512 0.198107 \n",
"EURZAR -0.234060 -0.307788 -0.182175 ... 0.184971 0.014182 -0.000049 \n",
"GBPDKK 0.144478 0.294371 0.147369 ... 0.343769 0.571244 0.680225 \n",
"GBPNOK -0.196221 -0.256766 -0.250614 ... 1.000000 0.565720 0.249443 \n",
"GBPSEK -0.153524 -0.054440 -0.129661 ... 0.565720 1.000000 0.325864 \n",
"GBPSGD 0.262599 0.190713 0.256832 ... 0.249443 0.325864 1.000000 \n",
"GBPTRY 0.155539 0.093958 0.103188 ... 0.072453 0.057482 0.366262 \n",
"NOKJPY 0.189831 0.408101 0.793006 ... -0.581065 -0.254856 0.314942 \n",
"NOKSEK 0.075289 0.251699 0.172680 ... -0.548945 0.355114 0.060996 \n",
"SEKJPY 0.151464 0.274446 0.746343 ... -0.259071 -0.507523 0.300513 \n",
"SGDJPY -0.123542 0.194079 0.754121 ... -0.034170 -0.045399 -0.004955 \n",
"USDCNH -0.447486 -0.272675 -0.186632 ... 0.204401 0.148480 -0.225541 \n",
"USDCZK -0.410759 -0.166643 -0.239922 ... 0.233200 0.320419 -0.426494 \n",
"\n",
" GBPTRY NOKJPY NOKSEK SEKJPY SGDJPY USDCNH USDCZK \n",
"EURUSD 0.281417 0.367305 -0.049602 0.427013 -0.061900 -0.571956 -0.881107 \n",
"GBPUSD 0.389010 0.362742 0.074701 0.338836 -0.078301 -0.545428 -0.697077 \n",
"USDCHF -0.220466 -0.151723 0.003827 -0.161708 0.259451 0.498127 0.646868 \n",
"USDJPY -0.139287 0.415457 -0.022183 0.471799 0.881815 0.422045 0.385782 \n",
"USDCAD -0.221339 -0.513605 -0.244101 -0.391819 -0.070735 0.486012 0.558194 \n",
"AUDUSD 0.241587 0.448873 0.203806 0.346699 -0.034588 -0.597839 -0.620403 \n",
"AUDNZD 0.008949 0.157618 0.070538 0.126414 0.147259 -0.046366 -0.000073 \n",
"AUDCAD 0.155539 0.189831 0.075289 0.151464 -0.123542 -0.447486 -0.410759 \n",
"AUDCHF 0.093958 0.408101 0.251699 0.274446 0.194079 -0.272675 -0.166643 \n",
"AUDJPY 0.103188 0.793006 0.172680 0.746343 0.754121 -0.186632 -0.239922 \n",
"CHFJPY 0.041248 0.611892 -0.026081 0.685167 0.774575 0.035608 -0.138834 \n",
"EURGBP -0.226357 -0.071311 -0.185332 0.049402 0.044778 0.084697 -0.097373 \n",
"EURAUD -0.043852 -0.238907 -0.322484 -0.041345 -0.010056 0.245766 -0.030998 \n",
"EURJPY 0.080202 0.726216 -0.062158 0.832348 0.867558 -0.018716 -0.304521 \n",
"EURCHF 0.075029 0.288785 -0.063726 0.356626 0.276797 -0.083697 -0.301266 \n",
"EURNZD -0.046456 -0.142260 -0.279888 0.035422 0.081427 0.213887 -0.032137 \n",
"EURCAD 0.102587 -0.093607 -0.305640 0.099188 -0.144576 -0.171067 -0.459961 \n",
"GBPCHF 0.234189 0.276800 0.096117 0.235910 0.181892 -0.127323 -0.153094 \n",
"GBPJPY 0.203548 0.722846 0.044254 0.756556 0.793673 -0.063483 -0.230890 \n",
"CADCHF -0.029673 0.307563 0.226774 0.187223 0.343123 0.090686 0.182686 \n",
"CADJPY 0.010736 0.722287 0.134918 0.699043 0.882958 0.092465 0.011274 \n",
"GBPAUD 0.130603 -0.194207 -0.196885 -0.077522 -0.039863 0.194455 0.042925 \n",
"GBPCAD 0.284675 -0.029624 -0.138230 0.055901 -0.168638 -0.229395 -0.353266 \n",
"GBPNZD 0.127186 -0.094668 -0.151361 0.000835 0.053467 0.161279 0.042212 \n",
"NZDCAD 0.141507 0.077171 0.024695 0.063377 -0.204069 -0.375677 -0.376099 \n",
"NZDCHF 0.094466 0.333169 0.221066 0.213806 0.118090 -0.255230 -0.171058 \n",
"NZDJPY 0.106488 0.761318 0.151524 0.726707 0.723334 -0.173311 -0.251473 \n",
"NZDUSD 0.243096 0.384553 0.173964 0.297222 -0.099768 -0.580420 -0.626784 \n",
"USDSGD -0.254303 -0.282964 -0.061406 -0.258780 0.121736 0.720614 0.741324 \n",
"AUDSGD 0.183973 0.463450 0.250176 0.334456 0.032393 -0.391870 -0.409643 \n",
"CHFSGD 0.094198 -0.016495 -0.054639 0.020509 -0.241200 -0.078291 -0.265235 \n",
"EURDKK -0.010976 0.016808 0.029726 -0.001277 -0.019047 0.005057 0.012764 \n",
"EURHKD 0.280634 0.365970 -0.047117 0.423811 -0.062986 -0.562073 -0.876379 \n",
"EURNOK -0.074157 -0.645186 -0.680546 -0.240464 -0.015080 0.261665 0.174212 \n",
"EURPLN -0.057076 -0.194816 0.034838 -0.238395 -0.029718 0.191912 0.425565 \n",
"EURSEK -0.130082 -0.371128 0.265947 -0.574695 -0.027070 0.245836 0.298274 \n",
"EURSGD 0.199391 0.314376 -0.144204 0.436964 0.026660 -0.202339 -0.680463 \n",
"EURTRY 0.956103 0.116731 -0.045961 0.158437 -0.012373 -0.162475 -0.266109 \n",
"EURZAR 0.022006 -0.133484 -0.197193 -0.006390 0.007360 0.189717 0.024857 \n",
"GBPDKK 0.233856 0.081647 0.195001 -0.041527 -0.033322 -0.081112 0.101044 \n",
"GBPNOK 0.072453 -0.581065 -0.548945 -0.259071 -0.034170 0.204401 0.233200 \n",
"GBPSEK 0.057482 -0.254856 0.355114 -0.507523 -0.045399 0.148480 0.320419 \n",
"GBPSGD 0.366262 0.314942 0.060996 0.300513 -0.004955 -0.225541 -0.426494 \n",
"GBPTRY 1.000000 0.127127 -0.003160 0.140754 -0.018215 -0.170311 -0.224689 \n",
"NOKJPY 0.127127 1.000000 0.430911 0.798540 0.663458 -0.186918 -0.348383 \n",
"NOKSEK -0.003160 0.430911 1.000000 -0.188751 0.009826 -0.077549 0.049930 \n",
"SEKJPY 0.140754 0.798540 -0.188751 1.000000 0.720977 -0.143944 -0.407972 \n",
"SGDJPY -0.018215 0.663458 0.009826 0.720977 1.000000 0.103027 0.042909 \n",
"USDCNH -0.170311 -0.186918 -0.077549 -0.143944 0.103027 1.000000 0.519997 \n",
"USDCZK -0.224689 -0.348383 0.049930 -0.407972 0.042909 0.519997 1.000000 \n",
"\n",
"[50 rows x 50 columns]\n"
]
}
],
"source": [
"\n",
"# -------------------------------\n",
"# Step 2: Prepare Price Data for Pair Selection\n",
"# -------------------------------\n",
"# Extract just the \"close\" prices to get a DataFrame with single-level columns\n",
"df_prices = df.xs('close', axis=1, level=1)\n",
"returns = df_prices.pct_change().dropna()\n",
"\n",
"# Compute the correlation matrix (columns are symbols now)\n",
"corr_matrix = returns.corr()\n",
"print(\"Correlation Matrix:\")\n",
"print(corr_matrix)\n"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Candidate Pairs (High Correlation & Cointegrated):\n",
"('AUDUSD', 'NZDUSD', np.float64(0.029071952477892585), np.float64(0.891053344243205))\n",
"('AUDJPY', 'CADJPY', np.float64(0.020139018449132847), np.float64(0.8043796863766559))\n",
"('CHFJPY', 'EURJPY', np.float64(0.025397607487565806), np.float64(0.8154419546327693))\n"
]
}
],
"source": [
"\n",
"# -------------------------------\n",
"# Step 3: Candidate Pair Selection using Correlation & Cointegration\n",
"# -------------------------------\n",
"candidate_pairs = []\n",
"symbol_list = df_prices.columns.tolist()\n",
"\n",
"for i, sym1 in enumerate(symbol_list):\n",
" for sym2 in symbol_list[i+1:]:\n",
" corr_value = corr_matrix.loc[sym1, sym2]\n",
" if corr_value > 0.8:\n",
" # Run cointegration test on the two price series\n",
" score, pvalue, _ = coint(df_prices[sym1], df_prices[sym2])\n",
" if pvalue < 0.05:\n",
" candidate_pairs.append((sym1, sym2, pvalue, corr_value))\n",
" \n",
"print(\"Candidate Pairs (High Correlation & Cointegrated):\")\n",
"for pair in candidate_pairs:\n",
" print(pair)\n",
"\n",
"if len(candidate_pairs) == 0:\n",
" raise ValueError(\"No candidate pairs found with high correlation and cointegration.\")\n",
"\n",
"# Optionally, you can also use PCA & Clustering here to further group symbols,\n",
"# but for this example, we'll proceed with candidate pairs.\n"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"PCA Components:\n",
" PC1 PC2\n",
"EURUSD -0.068192 -0.020048\n",
"GBPUSD -0.089713 -0.018949\n",
"USDCHF 0.112433 0.022101\n",
"USDJPY 0.072538 0.088778\n",
"USDCAD 0.126676 -0.040845\n",
"AUDUSD -0.141829 0.039940\n",
"AUDNZD 0.023960 0.006956\n",
"AUDCAD -0.046538 0.005291\n",
"AUDCHF -0.060629 0.068135\n",
"AUDJPY -0.100707 0.134864\n",
"CHFJPY -0.008567 0.060643\n",
"EURGBP 0.053044 -0.007520\n",
"EURAUD 0.104557 -0.066161\n",
"EURJPY -0.026952 0.074751\n",
"EURCHF 0.012880 0.008218\n",
"EURNZD 0.097594 -0.052595\n",
"EURCAD 0.027150 -0.054857\n",
"GBPCHF -0.008660 0.009418\n",
"GBPJPY -0.048592 0.075931\n",
"CADCHF 0.016843 0.056910\n",
"CADJPY -0.022842 0.123524\n",
"GBPAUD 0.082859 -0.065064\n",
"GBPCAD 0.005416 -0.053869\n",
"GBPNZD 0.076163 -0.051713\n",
"NZDCAD -0.039870 -0.007613\n",
"NZDCHF -0.053501 0.055236\n",
"NZDJPY -0.093532 0.121715\n",
"NZDUSD -0.134830 0.027091\n",
"USDSGD 0.097528 -0.003666\n",
"AUDSGD -0.076452 0.042628\n",
"CHFSGD 0.016224 -0.031500\n",
"EURDKK 0.031571 -0.006063\n",
"EURHKD -0.066269 -0.019982\n",
"EURNOK 0.125667 -0.069447\n",
"EURPLN 0.072275 -0.019012\n",
"EURSEK 0.098055 -0.032709\n",
"EURSGD -0.002318 -0.017346\n",
"EURTRY -0.212486 -0.276113\n",
"EURZAR 0.088358 -0.059437\n",
"GBPDKK 0.009699 -0.004573\n",
"GBPNOK 0.103332 -0.067368\n",
"GBPSEK 0.076569 -0.031341\n",
"GBPSGD -0.024292 -0.015827\n",
"GBPTRY -0.231359 -0.277327\n",
"NOKJPY -0.123414 0.136725\n",
"NOKSEK 0.002701 0.029036\n",
"SEKJPY -0.094317 0.102124\n",
"SGDJPY 0.006600 0.086656\n",
"USDCNH 0.086062 -0.005762\n",
"USDCZK 0.149105 0.000038\n",
"Cluster Assignment:\n",
" cluster\n",
"EURUSD 0\n",
"GBPUSD 0\n",
"USDCHF 1\n",
"USDJPY 1\n",
"USDCAD 1\n",
"AUDUSD 0\n",
"AUDNZD 1\n",
"AUDCAD 0\n",
"AUDCHF 0\n",
"AUDJPY 0\n",
"CHFJPY 0\n",
"EURGBP 1\n",
"EURAUD 1\n",
"EURJPY 0\n",
"EURCHF 1\n",
"EURNZD 1\n",
"EURCAD 1\n",
"GBPCHF 0\n",
"GBPJPY 0\n",
"CADCHF 0\n",
"CADJPY 0\n",
"GBPAUD 1\n",
"GBPCAD 1\n",
"GBPNZD 1\n",
"NZDCAD 0\n",
"NZDCHF 0\n",
"NZDJPY 0\n",
"NZDUSD 0\n",
"USDSGD 1\n",
"AUDSGD 0\n",
"CHFSGD 1\n",
"EURDKK 1\n",
"EURHKD 0\n",
"EURNOK 1\n",
"EURPLN 1\n",
"EURSEK 1\n",
"EURSGD 1\n",
"EURTRY 0\n",
"EURZAR 1\n",
"GBPDKK 1\n",
"GBPNOK 1\n",
"GBPSEK 1\n",
"GBPSGD 0\n",
"GBPTRY 0\n",
"NOKJPY 0\n",
"NOKSEK 0\n",
"SEKJPY 0\n",
"SGDJPY 0\n",
"USDCNH 1\n",
"USDCZK 1\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"c:\\Users\\moham\\miniconda3\\envs\\ml\\Lib\\site-packages\\joblib\\externals\\loky\\backend\\context.py:136: UserWarning: Could not find the number of physical cores for the following reason:\n",
"[WinError 2] The system cannot find the file specified\n",
"Returning the number of logical cores instead. You can silence this warning by setting LOKY_MAX_CPU_COUNT to the number of cores you want to use.\n",
" warnings.warn(\n",
" File \"c:\\Users\\moham\\miniconda3\\envs\\ml\\Lib\\site-packages\\joblib\\externals\\loky\\backend\\context.py\", line 257, in _count_physical_cores\n",
" cpu_info = subprocess.run(\n",
" ^^^^^^^^^^^^^^^\n",
" File \"c:\\Users\\moham\\miniconda3\\envs\\ml\\Lib\\subprocess.py\", line 548, in run\n",
" with Popen(*popenargs, **kwargs) as process:\n",
" ^^^^^^^^^^^^^^^^^^^^^^^^^^^\n",
" File \"c:\\Users\\moham\\miniconda3\\envs\\ml\\Lib\\subprocess.py\", line 1026, in __init__\n",
" self._execute_child(args, executable, preexec_fn, close_fds,\n",
" File \"c:\\Users\\moham\\miniconda3\\envs\\ml\\Lib\\subprocess.py\", line 1538, in _execute_child\n",
" hp, ht, pid, tid = _winapi.CreateProcess(executable, args,\n",
" ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\n"
]
}
],
"source": [
"# Optional: PCA & Clustering for additional insight\n",
"pca = PCA(n_components=2)\n",
"pca_components = pca.fit_transform(returns.T)\n",
"pca_df = pd.DataFrame(pca_components, index=returns.columns, columns=['PC1','PC2'])\n",
"print(\"PCA Components:\")\n",
"print(pca_df)\n",
"\n",
"kmeans = KMeans(n_clusters=2, random_state=42)\n",
"pca_df['cluster'] = kmeans.fit_predict(pca_df)\n",
"print(\"Cluster Assignment:\")\n",
"print(pca_df[['cluster']])\n"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Selected Pair: AUDUSD vs NZDUSD (p-value: 0.0291, corr: 0.89)\n"
]
}
],
"source": [
"\n",
"# -------------------------------\n",
"# Step 4: Select a Pair & Align the Data\n",
"# -------------------------------\n",
"# Choose the first candidate pair as an example\n",
"pair1, pair2, pval, corr_val = candidate_pairs[0]\n",
"print(f\"Selected Pair: {pair1} vs {pair2} (p-value: {pval:.4f}, corr: {corr_val:.2f})\")\n",
"\n",
"# Align the two series\n",
"S1 = df_prices[pair1].dropna()\n",
"S2 = df_prices[pair2].dropna()\n",
"df_pair = pd.concat([S1, S2], axis=1).dropna()\n",
"df_pair.columns = [pair1, pair2]\n"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"\n",
"# -------------------------------\n",
"# Step 5: Dynamic Signal Generation with Kalman Filter\n",
"# -------------------------------\n",
"# Function to estimate dynamic hedge ratio using a Kalman Filter\n",
"def kalman_filter_estimate(y, x):\n",
" n = len(y)\n",
" beta = 0.0\n",
" P = 1.0\n",
" Q = 1e-5 # Process noise variance\n",
" R = 1e-2 # Measurement noise variance\n",
" beta_history = []\n",
" \n",
" for i in range(n):\n",
" beta_pred = beta\n",
" P_pred = P + Q\n",
" \n",
" # Kalman Gain computation\n",
" K = P_pred * x[i] / (x[i]**2 * P_pred + R)\n",
" \n",
" # Update the state estimate using the measurement y[i]\n",
" beta = beta_pred + K * (y[i] - beta_pred * x[i])\n",
" P = (1 - K * x[i]) * P_pred\n",
" \n",
" beta_history.append(beta)\n",
" return np.array(beta_history)\n",
"\n",
"# Estimate dynamic hedge ratio for the pair: S1 = beta_t * S2 + error\n",
"beta_est = kalman_filter_estimate(df_pair[pair1].values, df_pair[pair2].values)\n",
"df_pair['beta'] = beta_est\n",
"\n",
"# Compute dynamic spread: difference between S1 and the hedged S2\n",
"df_pair['spread'] = df_pair[pair1] - df_pair['beta'] * df_pair[pair2]\n",
"\n",
"# Use a rolling window to compute spread mean and standard deviation (or you could use Kalman state covariances)\n",
"window = 60\n",
"df_pair['spread_mean'] = df_pair['spread'].rolling(window).mean()\n",
"df_pair['spread_std'] = df_pair['spread'].rolling(window).std()\n",
"df_pair['zscore'] = (df_pair['spread'] - df_pair['spread_mean']) / df_pair['spread_std']\n"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"\n",
"# -------------------------------\n",
"# Step 6: Trading Signal Generation\n",
"# -------------------------------\n",
"# Define thresholds for signal generation\n",
"entry_threshold = 1.5 # for entering trades\n",
"exit_threshold = 0.5 # for exiting trades\n",
"\n",
"df_pair['long_signal'] = df_pair['zscore'] < -entry_threshold\n",
"df_pair['short_signal'] = df_pair['zscore'] > entry_threshold\n",
"df_pair['exit_signal'] = abs(df_pair['zscore']) < exit_threshold\n"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Start 2021-04-29 00:00:00\n",
"End 2025-03-05 00:00:00\n",
"Period 996 days 00:00:00\n",
"Start Value 10000.0\n",
"End Value 10495.182943\n",
"Total Return [%] 4.951829\n",
"Benchmark Return [%] -19.02309\n",
"Max Gross Exposure [%] 100.0\n",
"Total Fees Paid 577.999539\n",
"Max Drawdown [%] 9.337445\n",
"Max Drawdown Duration 521 days 00:00:00\n",
"Total Trades 28\n",
"Total Closed Trades 28\n",
"Total Open Trades 0\n",
"Open Trade PnL 0.0\n",
"Win Rate [%] 39.285714\n",
"Best Trade [%] 6.091998\n",
"Worst Trade [%] -4.004551\n",
"Avg Winning Trade [%] 2.553578\n",
"Avg Losing Trade [%] -1.320344\n",
"Avg Winning Trade Duration 16 days 02:10:54.545454545\n",
"Avg Losing Trade Duration 16 days 05:38:49.411764705\n",
"Profit Factor 1.210917\n",
"Expectancy 17.685105\n",
"Sharpe Ratio 0.239466\n",
"Calmar Ratio 0.191375\n",
"Omega Ratio 1.049196\n",
"Sortino Ratio 0.354526\n",
"dtype: object\n"
]
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"source": [
"\n",
"# -------------------------------\n",
"# Step 7: Backtesting with vectorbt\n",
"# -------------------------------\n",
"# Here we simulate trades on the first asset's price (S1) while assuming a hedged position against S2.\n",
"entries = df_pair['long_signal']\n",
"short_entries = df_pair['short_signal']\n",
"exits = df_pair['exit_signal']\n",
"\n",
"portfolio = vbt.Portfolio.from_signals(\n",
" close=df_pair[pair1],\n",
" entries=entries,\n",
" exits=exits,\n",
" short_entries=short_entries,\n",
" short_exits=exits,\n",
" size=1,\n",
" size_type='percent',\n",
" init_cash=10000,\n",
" fees=0.001, # example fee rate\n",
" freq='1D'\n",
")\n",
"\n",
"print(portfolio.stats())\n",
"portfolio.plot().show()\n"
]
},
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"execution_count": 9,
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"\n",
"# -------------------------------\n",
"# Optional: Visualization of the Dynamic Spread and Z-Score\n",
"# -------------------------------\n",
"plt.figure(figsize=(12, 6))\n",
"plt.subplot(2,1,1)\n",
"plt.plot(df_pair.index, df_pair['spread'], label='Dynamic Spread')\n",
"plt.plot(df_pair.index, df_pair['spread_mean'], label='Rolling Mean', alpha=0.7)\n",
"plt.legend()\n",
"plt.title('Dynamic Spread via Kalman Filter')\n",
"\n",
"plt.subplot(2,1,2)\n",
"plt.plot(df_pair.index, df_pair['zscore'], label='Z-Score', color='orange')\n",
"plt.axhline(entry_threshold, color='red', linestyle='--')\n",
"plt.axhline(-entry_threshold, color='red', linestyle='--')\n",
"plt.axhline(exit_threshold, color='green', linestyle='--')\n",
"plt.axhline(-exit_threshold, color='green', linestyle='--')\n",
"plt.legend()\n",
"plt.title('Z-Score of Spread')\n",
"plt.tight_layout()\n",
"plt.show()\n",
"\n",
"# -------------------------------\n",
"# Shutdown MT5 connection\n",
"# -------------------------------\n",
"mt5.shutdown()\n"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "ml",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.11.11"
}
},
"nbformat": 4,
"nbformat_minor": 2
}