├── README.md └── gridtrading-v1.ipynb /README.md: -------------------------------------------------------------------------------- 1 | Project moved to https://github.com/nkaz001/hftbacktest/tree/master/example 2 | -------------------------------------------------------------------------------- /gridtrading-v1.ipynb: -------------------------------------------------------------------------------- 1 | { 2 | "cells": [ 3 | { 4 | "cell_type": "code", 5 | "execution_count": 1, 6 | "id": "56e6187e", 7 | "metadata": {}, 8 | "outputs": [], 9 | "source": [ 10 | "import pandas as pd\n", 11 | "import numpy as np\n", 12 | "import scipy.stats as stats\n", 13 | "from sklearn.model_selection import RandomizedSearchCV\n", 14 | "from numba import njit" 15 | ] 16 | }, 17 | { 18 | "cell_type": "code", 19 | "execution_count": 2, 20 | "id": "bffc605e", 21 | "metadata": {}, 22 | "outputs": [], 23 | "source": [ 24 | "df = pd.read_pickle('btcusdt_grid') # 1s interval" 25 | ] 26 | }, 27 | { 28 | "cell_type": "code", 29 | "execution_count": 3, 30 | "id": "56b3563f", 31 | "metadata": {}, 32 | "outputs": [ 33 | { 34 | "data": { 35 | "text/plain": [ 36 | "Index(['open', 'high', 'low', 'close', 'volume', 'best_bid', 'best_ask'], dtype='object')" 37 | ] 38 | }, 39 | "execution_count": 3, 40 | "metadata": {}, 41 | "output_type": "execute_result" 42 | } 43 | ], 44 | "source": [ 45 | "df.columns" 46 | ] 47 | }, 48 | { 49 | "cell_type": "code", 50 | "execution_count": 4, 51 | "id": "b8a0ad94", 52 | "metadata": {}, 53 | "outputs": [], 54 | "source": [ 55 | "@njit\n", 56 | "def predict_njit(fee_, half_spread, price_range, grid_num, max_position, X):\n", 57 | " tick_size = 0.1\n", 58 | " running_qty = 0\n", 59 | " static_equity = 0\n", 60 | " fee = 0\n", 61 | " equity = []\n", 62 | " running_qty_ = []\n", 63 | " order_qty = 0\n", 64 | " high = 1\n", 65 | " low = 2\n", 66 | " close = 3\n", 67 | " volume = 4\n", 68 | " best_bid = 5\n", 69 | " best_ask = 6\n", 70 | " tick_ub = 100000\n", 71 | " dollar_qty = 10\n", 72 | " order_interval = 2 * price_range / grid_num\n", 73 | " interval_tick = int(round(order_interval / tick_size))\n", 74 | " lb_price = 0\n", 75 | " ub_price = tick_ub - 1\n", 76 | " \n", 77 | " min_bid_order_tick = 0\n", 78 | " max_bid_order_tick = 0\n", 79 | " min_ask_order_tick = tick_ub - 1\n", 80 | " max_ask_order_tick = tick_ub - 1\n", 81 | " \n", 82 | " for row in X:\n", 83 | " best_bid_tick = int(round(row[best_bid] / tick_size))\n", 84 | " best_ask_tick = int(round(row[best_ask] / tick_size))\n", 85 | " # Check if bid orders are filled.\n", 86 | " for tick in range(max_bid_order_tick, min_bid_order_tick, -1):\n", 87 | " bid_price_tick = tick * interval_tick\n", 88 | " bid_price = bid_price_tick * tick_size\n", 89 | " if not np.isnan(row[low]):\n", 90 | " low_tick = int(round(row[low] / tick_size))\n", 91 | " if low_tick < bid_price_tick:# and row[volume] > 0:\n", 92 | " order_qty = dollar_qty / bid_price\n", 93 | " running_qty += order_qty\n", 94 | " static_equity -= bid_price * order_qty\n", 95 | " fee += bid_price * order_qty * fee_\n", 96 | " # Check if ask orders are filled.\n", 97 | " for tick in range(min_ask_order_tick, max_ask_order_tick, 1):\n", 98 | " ask_price_tick = tick * interval_tick\n", 99 | " ask_price = ask_price_tick * tick_size\n", 100 | " if not np.isnan(row[high]):\n", 101 | " high_tick = int(round(row[high] / tick_size))\n", 102 | " if high_tick > ask_price_tick:# and row[volume] > 0:\n", 103 | " order_qty = dollar_qty / ask_price\n", 104 | " running_qty -= order_qty\n", 105 | " static_equity += ask_price * order_qty\n", 106 | " fee += ask_price * order_qty * fee_\n", 107 | " \n", 108 | " mid = .5 * (row[best_bid] + row[best_ask])\n", 109 | " equity.append(static_equity + running_qty * mid - fee)\n", 110 | " running_qty_.append(running_qty)\n", 111 | " x = running_qty * mid / max_position # in $\n", 112 | " \n", 113 | " # Every a given interval calculate grid order prices again.\n", 114 | " bid_order_begin = min(mid - half_spread, row[best_bid])\n", 115 | " ask_order_begin = max(mid + half_spread, row[best_ask])\n", 116 | " lb_price = mid - price_range\n", 117 | " ub_price = mid + price_range\n", 118 | "\n", 119 | " # Arithmetic is better to keep the open orders without canceling and placing again.\n", 120 | " if x <= 1:\n", 121 | " max_bid_order_tick = int(round(bid_order_begin / tick_size))\n", 122 | " max_bid_order_tick = int(np.floor(max_bid_order_tick / interval_tick))\n", 123 | " min_bid_order_tick = int(np.floor(lb_price / tick_size / interval_tick))\n", 124 | " else:\n", 125 | " # Cancel all bid orders if the position exceeds the maximum position.\n", 126 | " min_bid_order_tick = max_bid_order_tick = 0\n", 127 | " if x >= -1:\n", 128 | " min_ask_order_tick = int(round(ask_order_begin / tick_size))\n", 129 | " min_ask_order_tick = int(np.ceil(min_ask_order_tick / interval_tick))\n", 130 | " max_ask_order_tick = int(np.ceil(ub_price / tick_size / interval_tick))\n", 131 | " else:\n", 132 | " # Cancel all ask orders if the position exceeds the maximum position.\n", 133 | " min_ask_order_tick = max_ask_order_tick = tick_ub - 1\n", 134 | " return equity, running_qty_\n", 135 | "\n", 136 | "class Backtest:\n", 137 | " def __init__(self, fee=None, max_position=None, half_spread=None, price_range=None, grid_num=None):\n", 138 | " self.fee = fee\n", 139 | " self.max_position = max_position\n", 140 | " self.price_range = price_range\n", 141 | " self.grid_num = grid_num\n", 142 | " self.half_spread = half_spread\n", 143 | " \n", 144 | " def set_params(self, half_spread, price_range, grid_num):\n", 145 | " self.price_range = price_range\n", 146 | " self.grid_num = grid_num\n", 147 | " self.half_spread = half_spread\n", 148 | " return self\n", 149 | " \n", 150 | " def get_params(self, deep=True):\n", 151 | " return { 'fee': self.fee, 'max_position': self.max_position, 'grid_num': self.grid_num, 'price_range': self.price_range, 'half_spread': self.half_spread }\n", 152 | " \n", 153 | " def fit(self, X, y=None):\n", 154 | " return self\n", 155 | " \n", 156 | " def predict(self, X):\n", 157 | " equity, running_qty = predict_njit(self.fee, self.half_spread, self.price_range, self.grid_num, self.max_position, X)\n", 158 | " return equity, running_qty\n", 159 | " \n", 160 | " def score(self, X):\n", 161 | " equity, _ = self.predict(X)\n", 162 | " returns = (pd.Series(equity).diff() / self.max_position).fillna(0)\n", 163 | " return np.divide(returns.mean(), returns.std())" 164 | ] 165 | }, 166 | { 167 | "cell_type": "code", 168 | "execution_count": 5, 169 | "id": "d82b89b0", 170 | "metadata": {}, 171 | "outputs": [], 172 | "source": [ 173 | "param_dist = { 'price_range': stats.uniform(10, 500), 'grid_num': stats.uniform(10, 50), 'half_spread': stats.uniform(0.1, 10) }\n", 174 | "# This backtest assumes that you can earn rebates(0.003%) by participating Binance's liquidity provider program.\n", 175 | "# https://www.binance.com/en/support/announcement/9ad4e7c30713433f9ebd355567f0d60c\n", 176 | "#\n", 177 | "# Other liquidity provider programs\n", 178 | "# FTX: https://help.ftx.com/hc/en-us/articles/360044358751-2020-06-05-VIP-Program-and-Market-Maker-Policy\n", 179 | "# Bybit: https://blog.bybit.com/en-us/post/new-fee-rates-for-market-makers-blt079fcbc490547fbb/\n", 180 | "# OKX: https://www.okx.com/fees.html\n", 181 | "# Kucoin: https://www.kucoin.com/vip/level\n", 182 | "\n", 183 | "search = RandomizedSearchCV(Backtest(-0.00003, 1000),\n", 184 | " cv=[(np.arange(len(df)), np.arange(len(df)))],\n", 185 | " param_distributions=param_dist,\n", 186 | " verbose=1,\n", 187 | " n_iter=100,\n", 188 | " n_jobs=1)\n", 189 | "#search.fit(df.values)" 190 | ] 191 | }, 192 | { 193 | "cell_type": "code", 194 | "execution_count": 6, 195 | "id": "7c58daec", 196 | "metadata": {}, 197 | "outputs": [], 198 | "source": [ 199 | "search.best_estimator_ = Backtest(-0.00003, 1000)" 200 | ] 201 | }, 202 | { 203 | "cell_type": "code", 204 | "execution_count": 7, 205 | "id": "75a1cc49", 206 | "metadata": {}, 207 | "outputs": [ 208 | { 209 | "data": { 210 | "text/plain": [ 211 | "<__main__.Backtest at 0x7f7e9e3c3340>" 212 | ] 213 | }, 214 | "execution_count": 7, 215 | "metadata": {}, 216 | "output_type": "execute_result" 217 | } 218 | ], 219 | "source": [ 220 | "best_params_ = {\n", 221 | " 'half_spread': 3.7517838107128654,\n", 222 | " 'grid_num': 30, #20.096339256735745,\n", 223 | " 'price_range': 301.52574415851782\n", 224 | "}\n", 225 | "search.best_estimator_.set_params(**best_params_)" 226 | ] 227 | }, 228 | { 229 | "cell_type": "code", 230 | "execution_count": 8, 231 | "id": "23512196", 232 | "metadata": {}, 233 | "outputs": [], 234 | "source": [ 235 | "equity, running_qty = search.best_estimator_.predict(df.values)\n", 236 | "equity = pd.Series(equity, index=df.index)\n", 237 | "running_qty = pd.Series(running_qty, index=df.index)" 238 | ] 239 | }, 240 | { 241 | "cell_type": "code", 242 | "execution_count": 9, 243 | "id": "3f3fed58", 244 | "metadata": {}, 245 | "outputs": [ 246 | { 247 | "data": { 248 | "text/plain": [ 249 | "" 250 | ] 251 | }, 252 | "execution_count": 9, 253 | "metadata": {}, 254 | "output_type": "execute_result" 255 | }, 256 | { 257 | "data": { 258 | "image/png": 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\n", 259 | "text/plain": [ 260 | "
" 261 | ] 262 | }, 263 | "metadata": { 264 | "needs_background": "light" 265 | }, 266 | "output_type": "display_data" 267 | } 268 | ], 269 | "source": [ 270 | "equity.iloc[::3600].plot()" 271 | ] 272 | }, 273 | { 274 | "cell_type": "code", 275 | "execution_count": 10, 276 | "id": "bf35d23f", 277 | "metadata": {}, 278 | "outputs": [ 279 | { 280 | "data": { 281 | "text/plain": [ 282 | "" 283 | ] 284 | }, 285 | "execution_count": 10, 286 | "metadata": {}, 287 | "output_type": "execute_result" 288 | }, 289 | { 290 | "data": { 291 | "image/png": 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\n", 292 | "text/plain": [ 293 | "
" 294 | ] 295 | }, 296 | "metadata": { 297 | "needs_background": "light" 298 | }, 299 | "output_type": "display_data" 300 | } 301 | ], 302 | "source": [ 303 | "(running_qty * df['close']).iloc[::3600].plot()" 304 | ] 305 | }, 306 | { 307 | "cell_type": "code", 308 | "execution_count": 11, 309 | "id": "84319e39", 310 | "metadata": {}, 311 | "outputs": [], 312 | "source": [ 313 | "df = pd.read_pickle('btcusdt_grid100') # 100ms interval" 314 | ] 315 | }, 316 | { 317 | "cell_type": "code", 318 | "execution_count": 12, 319 | "id": "edba70e7", 320 | "metadata": {}, 321 | "outputs": [], 322 | "source": [ 323 | "train = df[df.index < '2022-5-1']\n", 324 | "valid = df[df.index >= '2022-5-1']" 325 | ] 326 | }, 327 | { 328 | "cell_type": "code", 329 | "execution_count": 13, 330 | "id": "8b77aaee", 331 | "metadata": {}, 332 | "outputs": [], 333 | "source": [ 334 | "param_dist = { 'price_range': stats.uniform(10, 500), 'grid_num': stats.uniform(1, 50), 'half_spread': stats.uniform(0.1, 10) }\n", 335 | "# This backtest assumes that you can earn rebates(0.003%) by participating Binance's liquidity provider program.\n", 336 | "# https://www.binance.com/en/support/announcement/9ad4e7c30713433f9ebd355567f0d60c\n", 337 | "#\n", 338 | "# Other liquidity provider programs\n", 339 | "# FTX: https://help.ftx.com/hc/en-us/articles/360044358751-2020-06-05-VIP-Program-and-Market-Maker-Policy\n", 340 | "# Bybit: https://blog.bybit.com/en-us/post/new-fee-rates-for-market-makers-blt079fcbc490547fbb/\n", 341 | "# OKX: https://www.okx.com/fees.html\n", 342 | "# Kucoin: https://www.kucoin.com/vip/level\n", 343 | "search = RandomizedSearchCV(Backtest(-0.00003, 1000),\n", 344 | " cv=[(np.arange(len(train)), np.arange(len(train)))],\n", 345 | " param_distributions=param_dist,\n", 346 | " verbose=1,\n", 347 | " n_iter=100,\n", 348 | " n_jobs=1)\n", 349 | "#search.fit(train.values)" 350 | ] 351 | }, 352 | { 353 | "cell_type": "code", 354 | "execution_count": 14, 355 | "id": "f38cb5c4", 356 | "metadata": {}, 357 | "outputs": [], 358 | "source": [ 359 | "search.best_estimator_ = Backtest(-0.00003, 1000)" 360 | ] 361 | }, 362 | { 363 | "cell_type": "code", 364 | "execution_count": 16, 365 | "id": "ea120e9f", 366 | "metadata": {}, 367 | "outputs": [ 368 | { 369 | "data": { 370 | "text/plain": [ 371 | "<__main__.Backtest at 0x7f7e8ac99ca0>" 372 | ] 373 | }, 374 | "execution_count": 16, 375 | "metadata": {}, 376 | "output_type": "execute_result" 377 | } 378 | ], 379 | "source": [ 380 | "best_params_ = {\n", 381 | " 'half_spread': 3.588029293964708,\n", 382 | " 'grid_num': 60,\n", 383 | " 'price_range': 158.10344098886486\n", 384 | "}\n", 385 | "search.best_estimator_.set_params(**best_params_)" 386 | ] 387 | }, 388 | { 389 | "cell_type": "code", 390 | "execution_count": 17, 391 | "id": "9f6e4ec9", 392 | "metadata": {}, 393 | "outputs": [], 394 | "source": [ 395 | "equity, running_qty = search.best_estimator_.predict(train.values)\n", 396 | "equity = pd.Series(equity, index=train.index)\n", 397 | "running_qty = pd.Series(running_qty, index=train.index)" 398 | ] 399 | }, 400 | { 401 | "cell_type": "code", 402 | "execution_count": 18, 403 | "id": "bb1b51fd", 404 | "metadata": {}, 405 | "outputs": [ 406 | { 407 | "data": { 408 | "text/plain": [ 409 | "" 410 | ] 411 | }, 412 | "execution_count": 18, 413 | "metadata": {}, 414 | "output_type": "execute_result" 415 | }, 416 | { 417 | "data": { 418 | "image/png": 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lYa/5u2u6A9C3bYMyxSDxTcldpIK9vWALK7YeBAgag56f73h3cRbHc3yrUG7cHdwNc0n3ZsVec+6GPUH7b93he4K0aZ1qmMHCTXs5dqJwdcs3vviWOet2B51zbsfGQfuDOzXhxZv78Mfre5b1R5M4puQuUoGen7We+95Z6t9/5H8rATh2Io/TH5jCL99ewl+9G5r7j+YEnVt0qt1AHyzd6t/e+MQlDGjXCPAtPOEczFqzizPGTPXXGfP+cgDuHNwOgIY10/hbkbli6tdI4+LuzamTHrxgtFROGi0jUkGmLt/G76etCXvsjS82+bf/OH0tw7s144/T1wbVOZYTOjNjgZ2Hsv3bJQ15vPy5z1iadcC/f9/wztw3vHNQnVrVUlj+24uKvYZUTkruIhHy4bJt7Dh4nFsHtiU3L58f/2Ox/9gvhnbk6RlruXVABh+v3sHjU1YHnXvh07NDrpeTG5rc9x89Qa+x0/37/71zQIkxBSb2Xw0LfUDpi/uHUD1V0wskIiV3kRKs3XGIfOfo3KxOqXV/8qYvmY8ckEH7Bz/0lz/zvV5c3L0ZT89Yy+tzN/H63E1hz3/sym489J6v+6Rv2wbkFJlTPTs3LyixA/RuXb/UuFY/OjzkIacCzeom3tqh4qM+d5ESDHt6NsOfmVNqvSue/9y/feBYYd/56z88iyt7tyAlqfT/ajf3a00Nb5Ku9NRkcor0ub/5RfBY9hm/PC/sdQpurhYoLrFLYlPLXaQYX23eV6Z6RR8EKmhdjzr3dAZ38i0kXXTc+As392HPkROc16Ex5/5+Fj+/oD1mxsqxwwH40YQFIashjf1gpX+7pInBCm6uAky4rW+ZfgZJPEruImE457jqhbn+/U27j5DRqGZIvQNFRrgE+mUJk3Bd0r154bXDJOqUpKSQbpnyWDJmGMu3HmBg+0alV5aEpG4ZkSJenr2BtvcHLw49+A+fhK37yP9W+LfvGdrBv33dmS2L7Q45o3np/fepKUnk5hV2y8wLGNd+3ZktSz2/bo1UJfYqTsldJMCOg8dDRrIUKOh+OZ6Tx4fLfE+HtvVa83PuO5/vndXKX/eeElrtE+/oX2ocqUnGiYCW+61/K5zOd+wV3Uo9X0TdMiIB+j0+0799eqOaVEtNZtW2g/6ytTsO8a8FW3j1s4289aN+HM/JIznJaFm/etB48+Z1QkehlGcBjdRkX8v9eE4e63ce5oLOTfhw+XZWjR2ulZGkTJTcRTzOFXaDPHltD67PbMWyrANc9txn/vJhAePRb3rlS0ae3YaaackhDxIlneLEW4dP5LL94HE6Pzw1qFyJXcpK3TIint6PFo4hb9e4FgDdW9al/+nFT6Q1Yd63HDye69+/stdpEZlRUYtmyKkqNbmbWbqZzTezJWa2wsx+65U3MLPpZrbO+14/4Jz7zWy9ma0xMz3XLHHPOeef2+XCLk05s03hw0ETR53N+Z0aF3dqkGdu6M2Gxy+pkBhFyqMsLfds4ALnXE+gFzDczPoDo4GZzrkOwExvHzPrAtwAdAWGAy+Ymf6WlLi2ee9R//ZzN/UOOf6H66I7U+LXYy7k7NMbRvU1JbGUmtydT8FcpKnelwOuACZ45ROAK73tK4CJzrls59xGYD2gJykkbuXlO877/ScA3D2kQ9jl6RrWqlbs+eW5UVpW9Wqk8c9R/Svk2lI1lKnP3cySzexrYCcw3Tn3JdDUObcNwPvexKveAtgScHqWV1b0mqPMbKGZLdy1a9cp/Agip6bdA4Vj2u86v325zp12z7mRDqdYdatrKl4puzIld+dcnnOuF9AS6GtmJQ20DXc3KWRiaufcy865TOdcZuPGZevPFIm0qcu3+7drp6eQllL6f4lZvxrs327doEZFhBXk3TsH8JPB7YqdS0YknHINhXTO7TezT/D1pe8ws+bOuW1m1hxfqx58LfVWAae1BLYiEgUncvNJSbIyDUVcsmU/P/7HIv/+ggeHllh/3FXd+M+iLP+DSxCdoYl9WtenTxlmfxQJVJbRMo3NrJ63XR0YCqwGJgEjvWojgfe97UnADWZWzczaAh2A+YhUMOccHR/6MGhKgJIEzuT49Pd6ljp74s392vDfOwcC8MOBGdw6IOOkYxWpaGVpuTcHJngjXpKAt51zH5jZPOBtM7sd2AxcB+CcW2FmbwMrgVzgLudcXjHXFomYgmXp/j7v21If0d99uHAlo9rpKVzVu/T5WgL95rKu5Q9QJIpKTe7OuaVAyNgw59weYEgx54wDxp1ydCLl8M3uI2Wum/nYDACa1Uln2i+id1NUJFr0hKokjGFhlqoL53B24ROlf7qhl0ahSEJScpeEkJ8fMiAryMqtBzniJfV9R074y/vpQSFJUJo4TCq9/HzH6Q8Ez7++ePM+rn5hLr8Y2pF/L9pC1r5jXNqjOc/d1IdNe3zdN9dnlq+fXaQyUXKXSq3oEncFrvZWUXp6xlp/2a5D2dz11mL/pFxdyrBohkhlpeQuldbB48UvcRfOlxv3Bu2P1FBGSWBK7lJpvTBrAwCPXNaFkQMyyM13dHjwwzKfX3QOdpFEohuqUinl5Tte+tSX3G/p3wYzIzU5iXM7Fk5l8dvLuzL0jKa8dEsff9nF3Zqx5rHhfKNpeSXBqeUuldJ9/1nq305JLmyjjL+6OwPGfwz4ul0Kul5WjvUtK1AjTR95qRrUcpdKY9uBY3QdM5Xl3x3gncVZgG85vHCGdWkatF8jLUWJXaoUfdqlUsjLd5z9hK9FfumfC9c0vbZP8HDG0+pVZ8Jtfclso4m2pGpTcpdK4da/hc49N7hT47CzP57XUVNIi6hbRuLSG198S8boyTjn+Ovsb5izbjcATWoXroj06sizYhWeSNxTy13iSk5ePidy83n4veUAtL0/+MnT+Q8OZe2OQ1RPTSa5DHO2i1RVSu4SN7bsPco5T84q9njBzdOOTWtHKySRSkvJXeJCbl5+iYn9zzf25rKep0UxIpHKTX3uEhd+N3V10P6fbugVtK/ELlI+Su4SF/46ZyMADWum8eS1Pbish5K5yKlQt4xE3Q9em8/stbv42QXt6X96Q/40Y53/2Ht3DaRVgxoA/O3Ws/jh6wt45ydnxypUkUrLnCt5kYNoyMzMdAsXLox1GBIFM1ft4PYJxb/Xm8aPiGI0IpWbmS1yzmWGO6ZuGYmquyd+HesQRKoEJXeJqsD1S4v68O5zohiJSGJTcpeoOq1uOgBv/qifv6xL8zpsGj+CM7QykkjEKLlLVG09cJx6NVJJDZim9607+pVwhoicDCV3iZqCm/f7j+aQm5/vL69XIy1WIYkkLCV3iZjP1+/mqelrg8qcc/z6P0tZuGkvy747APhmbUzylrjrm9Eg6nGKVAUa5y4RkZfvuPmVLwF4duY6ZvzyPB56bxltG9XiXwu38K+FW/x1H7+6O7XTU0hNNu48v12sQhZJaErucsrmbdjDjX/9Iqhs6FOfAvDFN3tD6reoVx2AdeO0jqlIRVG3jJyUQb/7mIzRkzlwNIcnp60u/QRPiqbpFYkKJXcpt6VZ+8nadwyA2et2MfSMpqWcUejfP9ZUAiLRoOQuZIyeTMboyWWqu/twNte9NM+///7XW/n9tDUAzPjludRJL7mnT2PZRaKj1ORuZq3MbJaZrTKzFWZ2t1fewMymm9k673v9gHPuN7P1ZrbGzC6qyB9ATs2ew9n+7cB5hpxzLPp2H8/PWu8ve+nTDWQ+NoPs3MJhjDNW7fBvZzSsSbcWdf37l3RvxtrHLmbpI8N45nu9GHpGE9JTkyvqRxGRAGW5oZoL3OucW2xmtYFFZjYduBWY6Zwbb2ajgdHAr82sC3AD0BU4DZhhZh2dc3kV8yPIqRj+pzn+7a0HjvP5ut1cf1YrXpmzkXFTVgH4W+alSUlO4ieD2zF3wx4AXrj5TADSUpK4sncLruzdIsLRi0hxSk3uzrltwDZv+5CZrQJaAFcAg71qE4BPgF975ROdc9nARjNbD/QF5iFx5ffTVrPrUGHLfeD4jwG4752l5b7W5d5iGud0aMyqscNLnENGRCpeuYZCmlkG0Bv4EmjqJX6cc9vMrIlXrQUQOC4uyysreq1RwCiA1q1blztwOXXPz9pQrvp92zZg/kbf0MZWDaqzZa/vpurGJ4KHNFZPS6Z6mrpfRGKpzDdUzawW8A5wj3PuYElVw5SFTBrvnHvZOZfpnMts3LhxWcOQcli8eR9ffrMnpHzC3E3+G6hN61TjzsHhHyRqUruaf3vNY8P51bBOJJlvCbwPfnYO/3dRJ2beex5mhpmGOIrEkzK13M0sFV9if9M5965XvMPMmnut9ubATq88C2gVcHpLYGukApayu/qFuUDwAhgfrdjObyat8O+f17ExN/ZtzQuf+Frx917YkRrVUhjUvhGdmtX2/xKolpJM37YN+OaJwmvddX77aPwYInISSk3u5muSvQqscs49FXBoEjASGO99fz+g/C0zewrfDdUOwPxIBi0n58DRHEa9sSiorGGtarRqUIO1j13MoeM5NKxVLej441d1p7k3Ta+IVB5labkPBL4PLDOzr72yB/Al9bfN7HZgM3AdgHNuhZm9DazEN9LmLo2UiQ89x34UUvbr4Z0B34iWookd4KZ+uh8iUhmVZbTMZ4TvRwcYUsw544BxpxCXVKAB7RrSukENLu91WqxDEZEKoonDqoBV2w7y93mb/Ptv3dE/dsGISFQouVcBFwc8qCQiVYPmlqlifnaBRriIVAVK7lXMT4oZ0y4iiUXJvYqpkaaeOJGqQMm9CilYAUlEEp+acQmsWZ10kpOMv3z/TLo0r4NmCBCpOpTcE1iec5zfsUnQHOsiUjWoWyaB5ec7tGSpSNWk5J7A8p0jWdldpEpSck9gefmOJHW0i1RJSu4JzDmU3EWqKCX3BJbnHMl6h0WqJP3XT1B/nf0NR0/k4ULWwBKRqkDJPUGNm7IKgAXf7otxJCISC0ruCa5do5qxDkFEYkDJPcF9sGxbrEMQkRhQck9wJ3LzYx2CiMSAknuC0xS/IlWT5pZJUM3qpJOWkuRfAFtEqha13BNIXr5j5qodOOfIycvnnA6NYh2SiMSIknsCeWXON9w+YSFvzd/M8Zw80lOTYx2SiMSIumUSyJZ9RwF48L/LAfQAk0gVppZ7Ajl2InhkzGufb4xRJCISa0ru5TRx/mZej9OkuWLrgViHICJxQt0y5fDd/mOMfncZAJf1PI2GtarFOKJgRedunziqf4wiEZFYU8u9HAaO/9i/ve3A8RhGEt5VvVsE7fc/vWGMIhGRWFNyL6P8/OC7k8/MWFshr7PtwDEyRk9m6vLt5T73scmrKiAiEamMlNzL6MVPNwTtL9gU+dkW8/MdZz/h++vgx/9YxKufbaT/4zPLfZ0aacl88LNBkQ5PRCqRUpO7mb1mZjvNbHlAWQMzm25m67zv9QOO3W9m681sjZldVFGBn6q9R07gyjFWcPl3wTcrDxzLiWg8zjlOf2BKUNmjH6xk+8Hj5OQVjoKZvnIHGaMnh8QTaPHDF9KtRd2IxicilUtZWu6vA8OLlI0GZjrnOgAzvX3MrAtwA9DVO+cFM4u7J2mWbNlPn0en897X35X5nA9PopukPEr6ZdFn7HTyvG6hO/6+EIBL//wZx07k+es8OXW1f1sPL4lIqcndOTcb2Fuk+Apggrc9AbgyoHyicy7bObcRWA/0jUyokeGc48oXPgfg49W7ynTO2h2HQsrSIrx+XUFyf/LaHiHHDmXn8vn63SEzPK7b6YvreE4eL3yyIeQ8Eam6TjZDNXXObQPwvjfxylsAWwLqZXllcePFTzf4n9z835KtxdbLyctn24Fj5OTlM+zp2f7yzDb1GdS+Ed1a1IloXAXJvUGNtLDHDx3PZdfh7KCygqGPnR+eGtFYRKTyi/Q4dwtTFrZj28xGAaMAWrduHeEwwsvPdzw5dY1/v2fL0H7pK5//nLPbNWTP4WzeXpgVcnz8NT149IOV/m6SSNnuDa2sWyOVJb8Zxvqdh8nad5S7J34N+H7ZPPVR8Aid3DzH0RO5EY1DRBLDySb3HWbW3Dm3zcyaAzu98iygVUC9lkDY5rFz7mXgZYDMzMyozIJS9IZlvSKt5MPZuXy9ZT9fb9lf7DXaN6lFSpKRF+GJW+58czHga43XrZ7KmW3q+xM+wONTVlG/SLwfrdzOFc+rO0ZEQp1st8wkYKS3PRJ4P6D8BjOrZmZtgQ7A/FMLMTLe+OLbkLJP1+5i8tLCZeh6PDKtxGukeN0gSUlGbl7kkvu1L84l1/tLoEfAKJfFmwuHW+48lM2aIn3/z89SYheR8MoyFPKfwDygk5llmdntwHjgQjNbB1zo7eOcWwG8DawEpgJ3Oefywl85uh5+b3nY8rveWsyRbF/XRmk9LQseHAr4kny+13LPyctn9faDJx3Xidx8Fn7rS+LzHxhCSsCN2trp4f+wurpP+NsYtaql8NItfU46FhFJHKV2yzjnbizm0JBi6o8Dxp1KUJF2PKfw98st/VvToUltfjNphb+s62+msWTMMM5sU59F34Z/OOkv3z+T+jV93SJJScbBY7nsOZzNJc/OYcdB343O7i3q8r9yPjx0zIutRb3qNKmTHnTsx+e14/DxXF75rHCisp6t6vGrYZ14d3HwMM7v92/DbYPa0rZRzXK9vogkpioxcVjgaJKxl3cjKcmCkjtAz7EflXiNYV2a+rdTkoztB49z5mMzguosK+HBouJke8k93Fqn6anJ/N/wTkHJfcmW/ZxWr3pQvb98/0wu6tqs3K8tIomrSk0/8OyNvUny+s1rpIU+6NOucfhW799uPQuzwoFAyRZuUFD5zVi5g77e9AJpKeHfimopyTx1fc+Q8vkP+v5w6tysthK7iISoEsm9YCbcy3o095fNf3AodYr0aW/YdSTk3E5Na3NW2wZBZUWn1j0Z01Zs50fe06YAO0qYZfKS7s251Iv9vI6NAWhSO535Dw7h3TsHnHIsIpJ4Er5b5nhOHvkO7r2wY1Dru1a1FJY+chFb9x9jQMBUvgBdT6vDiq2+m6TTfnFuyDWTimm5tyjSXVKcLXuP8v/eWBRUdtugtsXWT09N5rmb+vDcTcHlTWqnhz9BRKq8hG+5f75+N4C/O6ao0+pV5/Gruvv3e7WqV2preOeh4FZ2v7YNuLBL06AJvkpyzpOzQso0H4yIRFJCJ/f8fMftE3xdH+d2aFxsvZv6FT4h++aP+pXapz5rjW9Omhdu7sPPL2jPW3f0p1md9DIl98AFP9aPu5jTvX7+SHT1iIgUSMhumdXbD/LNriPsOXLCX9Y9zFQD4dSsluKfCnhAu5JXMurRsi6XdPf1hacmJ5FTyoNN2bl5fLf/mH8/JTmJj+45t9Tx9SIi5ZWQyX34M3OC9sMNMyyJmbFp/Ihijz92ZTfGvL88pI/9cHYuJ3Lzix35Mvj3n/i3X7rlTICgh5ZERCIl4ZJ74BznBUaenVHqefMfHEK15LL1e9/Svw239G8TVPba576x6B0f+jDsL4b8fBe07upFXZuG1BERiZSEazbOWLUjaP/2QW1pVrf0USVNaqdTt0bqSb9uwbDKtJQkvveXeSFPuvZ/onC5vNMb1wwauSMiEmkJl9yL3pi8oHOTYmpG1rt3DgR8/fRfbtzLNS/ODTq+81DhXOy/uyZ0QQ4RkUhKuORer3pw67thrfCLX0Ra+ya1SEtO8o+0SU4y3pi3idcCpg4okNmmfkiZiEgkJV6fe05wn3vt9JPvaimv1GRj5mrf1PZ5+Y6H3/fNX3PNmS39deqkp6hLRkQqXMK13Ism91rVovf760iYm7kAby8oXHnwoRFdohWOiFRhCZfcj+cEP0hUdP6YWBg3ZZV/+8recbWkrIgkqIRL7kVb7vHWBVLcGHgRkUhKuEyTnRMXCz+JiMRU7PssIig/3/HSp751Rc/r2JjWDWrEOKJgtw0sfuZHEZFISqjkftULn7P7sG8+mQm39Y366xc8mZoxenLIsfFXd+eGvq1DykVEKkJCdcssySr/MncV6cO7z/FvK7GLSDQlVMu9Yc20oJkgY2Xmveex+Nt9IWudiohES2Il91rxkdzbNa5Fu8a1/FMHi4hEW0Il97U7DgNwcbf4WDDazFjw4FDSUxOq90tEKoGESu7gW8f0RW+u9HjQuHa1WIcgIlVQpU3ux3Py6DtuBoM6NGL9zsM8dX0vAG7s2yq2gYmIxIFK0V/w6dpdHC/ycFLnh6dy8HguU5ZtZ+2Ow1z6588A+OKbvbEIUUQkrsRVcp+ybBvvffVdUNmkJVsZ+dp8Oj88tUzX6NC0VkWEJiJSqcRNt8zxnDzufHMxEDy51sT5m8t1nTGXatZFEZG4abl/uHxb2PK8/NDhhIeO54Ste+fgdnE3UZiISCzETXLfuPto2PIvN4b2oT87c13YuvcN7xzRmEREKqsKS+5mNtzM1pjZejMbXVr94hJ2OH+dU7h0XY205JMLUEQkgVVIn7uZJQPPAxcCWcACM5vknFsZrv6y7w7QPGD/wLEc6hZZCzVcEl/2yDDSU5PZeSibY8WsgiQiUhVVVMu9L7DeOfeNc+4EMBG4oqwn//JfXwPwxIeFKxgV9L2P/V/h74fa6amkJifRol512jfRKBkRkQIVldxbAFsC9rO8sjJZvf0QAH/59Bt/WUFyf+3zjWHPERGRQhWV3MMNWQka9mJmo8xsoZktBGjXuCZPf68nABd2acqna3cFnZznTcJ1fWZLAG7UFLoiIsWqqOSeBQTOA9AS2BpYwTn3snMu0zmXCfC/nw3ish6nAfD63E2MfG2+v26LetVxDo6dyGOvN+vjY1d2q6DQRUQqv4pK7guADmbW1szSgBuAScVV7t6iLjXSUkhJDh/OpT19t1vPGjeDGat2ApCcpPHsIiLFqZDk7pzLBX4KTANWAW8751aczLX+cXs/svYdA+Bwdm7EYhQRSWQVNv2Ac24KMOVUr9OpWW0mLw1+evU/Pz77VC8rIpLQ4uYJ1eI0qpUW0gWTmdEgRtGIiFQOcZfcP/jZID76xbn+fTNj9aPDYxiRiEjlEzezQhbo1qJuSFlqwI3WsVd0jWY4IiKVUty13Atc0r0Zv7umu3//99f24LS66dzSr00MoxIRqRzMudApdaMtMzPTLVy4MNZhiIhUKma2qOBZoaLituUuIiInT8ldRCQBKbmLiCQgJXcRkQSk5C4ikoCU3EVEEpCSu4hIAlJyFxFJQHHxEJOZHQLWhDlUFzhQhjLVVd1o1G0E7I7DuFS36tbt5JyrHaYuOOdi/gUsLKb85bKUqa7qRqOuPqeqG4d1w34mnXNx3y3zvzKWqa7qRqtuNF9LdVW3LOVhxUu3zEJXzPwIIvFCn1OJNyV9JuOl5f5yrAMQKQN9TiXeFPuZjIuWu4iIRFa8tNyjzsyGm9kaM1tvZqO9sn+Z2dfe1yYz+zrKMb1mZjvNbHmYY78yM2dmjaIZk/farcxslpmtMrMVZna3V36dt59vZjHprightl5m9oX3Xi40s74xiC3kMxZwLJbvZ8jnLB7eyxJii4f3srjP2SNm9l1A3rgk2rEVq7g7rYn8BSQDG4DTgTRgCdClSJ0/AmOiHNe5QB9geZHyVsA04FugUQz+vZoDfbzt2sBaoAtwBtAJ+ATIjNF7WVxsHwEXe+WXAJ/Ey2csDt7PkM9ZPLyXJcQW0/eylM/ZI8CvYvXvVdJXVW259wXWO+e+cc6dACYCVxQcNDMDrgf+Gc2gnHOzgb1hDj0N3AfEpA/NObfNObfY2z4ErAJaOOdWOefCPZ8Q89jw/VvV8arVBbZGObSSPmOxfj9DPmfx8F56cYT7PxDr97Kkz1ncirs1VKOkBbAlYD8L6Bewfw6wwzm3LqpRhWFmlwPfOeeW+H7nxDyeDKA38GWMQwlRJLZ7gGlm9gd83Y8DohxO2M9YvL2flcQ9xPa9DFLkczYQ+KmZ/QBYCNzrnNsXw/D8qmrLPdz/qsBW1I1EudUejpnVAB4ExsQ6FgAzqwW8A9zjnDsY63gChYntJ8AvnHOtgF8Ar0Y7pDBl1Yij97MSifV76Rfmc/Yi0A7oBWzD150bF6pqcs/C1+9ZoCXen3pmlgJcDfwrBnEV1Q5oCywxs0344lxsZs2iHYiZpeL7UL/pnHs32q9fkmJiGwkUbP8bXzdJNIX7jG0mTt7PSibW7yUQ/nPmnNvhnMtzzuUDf41VbOFU1eS+AOhgZm3NLA24AZjkHRsKrHbOZcUsOo9zbplzrolzLsM5l4EvYfRxzm2PZhzePYhXgVXOuaei+dqlKSG2rcB53vYFQLS72MJ9xt6Nh/ezEor1e1ns58zMmgdUuwoIGekWM7G+oxurL3x33dfiG9HwYED568CPYxTTP/H9aZeD7z/+7UWObyI2oysG4eu2Wgp87X1dgu/DnAVkAzuAaXEU2yBgEb5RKl8CZ8bLZywO3s+Qz1k8vJclxBYP72Vxn7M3gGVe+SSgeSz+3cJ96SEmEZEEVFW7ZUREEpqSu4hIAlJyFxFJQEruIiIJSMldRCQBKbmLiCQgJXcRkQSk5C4ikoCU3EVEEpCSu4hIAlJyFxFJQEruIiIJSMldRCQBKbmLiCQgJXcRkQSk5C4ikoCiktzNzJnZGwH7KWa2y8w+iMbri5SHmV3lfWY7xzoWkZMVrZb7EaCbmVX39i8EvivPBbyFq0Wi4UbgM3zrnpaZmSVXTDgi5RfNbpkPgRHe9o341koEwMz6mtlcM/vK+97JK7/VzP5tZv8DPopirFJFmVktYCC+tTtv8MoGm9lsM/uvma00s5fMLMk7dtjMxprZl8DZsYtcJFg0k/tE4AYzSwd64FvotsBq4FznXG9gDPB4wLGzgZHOuQuiFqlUZVcCU51za4G9ZtbHK+8L3At0B9oBV3vlNYHlzrl+zrnPoh2sSHGiltydc0uBDHyt9ilFDtcF/m1my4Gnga4Bx6Y75/ZGJUgR3+dzorc90dsHmO+c+8Y5l4fvr85BXnke8E50QxQpXbT7sScBfwAGAw0Dyh8FZjnnrjKzDOCTgGNHohWcVG1m1hC4AN/9IQckAw5fY8QVqV6wf9xL+CJxJdpDIV8DxjrnlhUpr0vhDdZboxqRSKFrgb8759o45zKcc62Ajfha6X3NrK3X1/49fDdcReJWVJO7cy7LOfenMIeeBJ4ws8/xtZZEYuFG4L9Fyt4BbgLmAeOB5fgSftF6InHFnCv616aIBDKzwcCvnHOXxjgUkTLTE6oiIglILXcRkQRUIS13M2tlZrPMbJWZrTCzu73yBmY23czWed/re+UXmtkiM1vmfb/AK69hZpPNbLV3nfEVEa+ISKKpkJa7mTUHmjvnFptZbWARvodDbgX2OufGm9looL5z7tdm1hvY4ZzbambdgGnOuRZmVgPo55ybZWZpwEzgcefchxEPWkQkgVRIy905t805t9jbPgSsAloAVwATvGoT8CV8nHNfOee2euUrgHQzq+acO+qcm+XVOQEsBlpWRMwiIomkwm+oeg8l9cY33UBT59w28P0CAJqEOeUa4CvnXHaR69QDLsPXehcRkRJU6BOq3iRM7wD3OOcOmllp9bsCvwOGFSlPwffI97POuW8qKFwRkYRRYS13M0vFl9jfdM696xXv8PrjC/rldwbUb4nvwZAfOOc2FLncy8A659wzFRWviEgiqajRMga8Cqxyzj0VcGgSMNLbHgm879WvB0wG7nfOfV7kWo/hm57gnoqIVUQkEVXUaJlBwBxgGZDvFT+Ar9/9baA1sBm4zjm318weAu4H1gVcZhiQBmzBNyVwQR/8c865VyIetIhIAtFDTCIiCUjTD4iIJCAldxGRBKTkLiKSgJTcRUQSkJK7iEgCUnIXEUlASu4iIglIyV1EJAH9f7hmL5/eQKL8AAAAAElFTkSuQmCC\n", 419 | "text/plain": [ 420 | "
" 421 | ] 422 | }, 423 | "metadata": { 424 | "needs_background": "light" 425 | }, 426 | "output_type": "display_data" 427 | } 428 | ], 429 | "source": [ 430 | "equity.iloc[::3600].plot()" 431 | ] 432 | }, 433 | { 434 | "cell_type": "code", 435 | "execution_count": 19, 436 | "id": "1723ba47", 437 | "metadata": {}, 438 | "outputs": [ 439 | { 440 | "data": { 441 | "text/plain": [ 442 | "" 443 | ] 444 | }, 445 | "execution_count": 19, 446 | "metadata": {}, 447 | "output_type": "execute_result" 448 | }, 449 | { 450 | "data": { 451 | "image/png": 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\n", 452 | "text/plain": [ 453 | "
" 454 | ] 455 | }, 456 | "metadata": { 457 | "needs_background": "light" 458 | }, 459 | "output_type": "display_data" 460 | } 461 | ], 462 | "source": [ 463 | "(running_qty * train['close']).iloc[::3600].plot()" 464 | ] 465 | }, 466 | { 467 | "cell_type": "code", 468 | "execution_count": 22, 469 | "id": "2440498c", 470 | "metadata": {}, 471 | "outputs": [ 472 | { 473 | "name": "stdout", 474 | "output_type": "stream", 475 | "text": [ 476 | "Start date 2022-03-01\n", 477 | "End date 2022-06-15\n", 478 | "Time period (days) 106\n", 479 | "Train period 2022-03-01 - 2022-04-30\n", 480 | "Valid period 2022-05-01 - 2022-06-15\n", 481 | "Sharpe ratio 8.7\n", 482 | "Annualised return 426%\n", 483 | "RRR 47.00\n", 484 | "MDD 9.08%\n", 485 | "Max Position $1000\n", 486 | "ADTV $174984\n", 487 | "dtype: object\n" 488 | ] 489 | }, 490 | { 491 | "data": { 492 | "image/png": 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\n", 493 | "text/plain": [ 494 | "
" 495 | ] 496 | }, 497 | "metadata": { 498 | "needs_background": "light" 499 | }, 500 | "output_type": "display_data" 501 | } 502 | ], 503 | "source": [ 504 | "equity, running_qty = search.best_estimator_.predict(df.values)\n", 505 | "equity = pd.Series(equity, index=df.index)\n", 506 | "running_qty = pd.Series(running_qty, index=df.index)\n", 507 | "\n", 508 | "returns = equity.resample('1d').last().diff() / search.best_estimator_.max_position\n", 509 | "returns_ = returns\n", 510 | "sr = np.divide(returns_.mean(), returns_.std()) * np.sqrt(365)\n", 511 | "trade_volume = (running_qty * df['close']).diff().abs().rolling(24 * 3600 * 10, min_periods=1).sum().resample('1d').last().mean()\n", 512 | "\n", 513 | "Roll_Max = equity.cummax()\n", 514 | "Drawdown = (equity - Roll_Max) / search.best_estimator_.max_position\n", 515 | "Max_Drawdown = Drawdown.cummin()\n", 516 | "\n", 517 | "period = (equity.index[-1] - equity.index[0]).days\n", 518 | "\n", 519 | "print(pd.Series({\n", 520 | " 'Start date': equity.index[0].strftime('%Y-%m-%d'),\n", 521 | " 'End date': equity.index[-1].strftime('%Y-%m-%d'),\n", 522 | " 'Time period (days)': period,\n", 523 | " 'Train period': '%s - %s' % (train.index[0].strftime('%Y-%m-%d'), train.index[-1].strftime('%Y-%m-%d')),\n", 524 | " 'Valid period': '%s - %s' % (valid.index[0].strftime('%Y-%m-%d'), valid.index[-1].strftime('%Y-%m-%d')),\n", 525 | " 'Sharpe ratio': '%.1f' % sr,\n", 526 | " 'Annualised return': '%d%%' % (equity[-1] / search.best_estimator_.max_position / period * 365 * 100),\n", 527 | " 'RRR': '%.2f' % (equity[-1] / search.best_estimator_.max_position / period * 365 / abs(Max_Drawdown.min())),\n", 528 | " 'MDD': '%.2f%%' % (-Max_Drawdown.min() * 100),\n", 529 | " 'Max Position': '$%d' % search.best_estimator_.max_position,\n", 530 | " 'ADTV': '$%d' % trade_volume,\n", 531 | "}))\n", 532 | "\n", 533 | "# equity.resample('1d').last().pct_change().hist(bins=20)\n", 534 | "\n", 535 | "import matplotlib.pyplot as plt\n", 536 | "plt.figure(figsize=(8, 8))\n", 537 | "ax1 = (equity / search.best_estimator_.max_position * 100)[::60].plot()\n", 538 | "# ax2 = ((df['close'] / df['close'][0] - 1) * 100).plot()\n", 539 | "ax2 = ((df['close'] / df['close'][0] - 1) * 100)[::60].plot()\n", 540 | "ax1.set_ylabel('Cumulative Returns (%)')\n", 541 | "ax1.legend([\"Grid strategy's equity (LPP maker rebate 0.003%)\", 'Binance Futures BTCUSDT'])\n", 542 | "ax1.grid()" 543 | ] 544 | }, 545 | { 546 | "cell_type": "code", 547 | "execution_count": null, 548 | "id": "5e08b3de", 549 | "metadata": {}, 550 | "outputs": [], 551 | "source": [] 552 | } 553 | ], 554 | "metadata": { 555 | "kernelspec": { 556 | "display_name": "Python 3", 557 | "language": "python", 558 | "name": "python3" 559 | }, 560 | "language_info": { 561 | "codemirror_mode": { 562 | "name": "ipython", 563 | "version": 3 564 | }, 565 | "file_extension": ".py", 566 | "mimetype": "text/x-python", 567 | "name": "python", 568 | "nbconvert_exporter": "python", 569 | "pygments_lexer": "ipython3", 570 | "version": "3.8.8" 571 | } 572 | }, 573 | "nbformat": 4, 574 | "nbformat_minor": 5 575 | } 576 | --------------------------------------------------------------------------------