models/5. Funding rates EDA.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 159,
   "metadata": {},
   "outputs": [],
   "source": [
    "# import ira\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import requests\n",
    "from tqdm.auto import tqdm\n",
    "\n",
    "# %alphalab dark"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 160,
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_funding_rates_okex(symbol):\n",
    "    r_okex = requests.get(f'https://www.okex.com/api/swap/v3/instruments/{symbol}/historical_funding_rate?limit=1000')\n",
    "    print(r_okex.json())\n",
    "    okx = pd.DataFrame.from_dict(r_okex.json())\n",
    "    okx.funding_time = pd.DatetimeIndex(okx.funding_time)\n",
    "    okx = okx.set_index('funding_time')\n",
    "    okx = okx.astype({'funding_rate': float, 'realized_rate':float, 'interest_rate': float})\n",
    "    okx = okx.sort_index()\n",
    "    return okx"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 161,
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_funding_rates_binance(symbol):\n",
    "    r_bnc = requests.get(f'https://fapi.binance.com/fapi/v1/fundingRate?symbol={symbol}&limit=1000')\n",
    "    bnc = pd.DataFrame.from_dict(r_bnc.json())\n",
    "    bnc.fundingTime = pd.to_datetime(bnc.fundingTime.values, unit='ms', utc=True)\n",
    "    bnc = bnc.set_index('fundingTime')\n",
    "    bnc = bnc.astype({'fundingRate': float})\n",
    "    bnc = bnc.sort_index().tz_localize(None)\n",
    "    # drop msecs\n",
    "    bnc.index = bnc.index.floor('1s')\n",
    "    return bnc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 162,
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_current_funding_rates_binance(symbol):\n",
    "    r_bnc = requests.get(f'https://fapi.binance.com/fapi/v1/premiumIndex?symbol={symbol}')\n",
    "    bnc = mstruct(**r_bnc.json())\n",
    "    bnc.nextFundingTime = pd.to_datetime(bnc.nextFundingTime, unit='ms')\n",
    "    bnc.time = pd.to_datetime(bnc.time, unit='ms')\n",
    "    bnc.lastFundingRate = float(bnc.lastFundingRate)\n",
    "    bnc.interestRate = float(bnc.interestRate)\n",
    "    return bnc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 163,
   "metadata": {},
   "outputs": [],
   "source": [
    "fr0 = get_funding_rates_binance('BTCUSDT')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 164,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>symbol</th>\n",
       "      <th>fundingRate</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>fundingTime</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2021-07-19 08:00:00</th>\n",
       "      <td>BTCUSDT</td>\n",
       "      <td>0.000032</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2021-07-19 16:00:00</th>\n",
       "      <td>BTCUSDT</td>\n",
       "      <td>-0.000012</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2021-07-20 00:00:00</th>\n",
       "      <td>BTCUSDT</td>\n",
       "      <td>-0.000157</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2021-07-20 08:00:00</th>\n",
       "      <td>BTCUSDT</td>\n",
       "      <td>-0.000126</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2021-07-20 16:00:00</th>\n",
       "      <td>BTCUSDT</td>\n",
       "      <td>-0.000189</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-06-16 00:00:00</th>\n",
       "      <td>BTCUSDT</td>\n",
       "      <td>-0.000041</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-06-16 08:00:00</th>\n",
       "      <td>BTCUSDT</td>\n",
       "      <td>0.000045</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-06-16 16:00:00</th>\n",
       "      <td>BTCUSDT</td>\n",
       "      <td>-0.000053</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-06-17 00:00:00</th>\n",
       "      <td>BTCUSDT</td>\n",
       "      <td>-0.000022</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-06-17 08:00:00</th>\n",
       "      <td>BTCUSDT</td>\n",
       "      <td>-0.000095</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>1000 rows × 2 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                      symbol  fundingRate\n",
       "fundingTime                              \n",
       "2021-07-19 08:00:00  BTCUSDT     0.000032\n",
       "2021-07-19 16:00:00  BTCUSDT    -0.000012\n",
       "2021-07-20 00:00:00  BTCUSDT    -0.000157\n",
       "2021-07-20 08:00:00  BTCUSDT    -0.000126\n",
       "2021-07-20 16:00:00  BTCUSDT    -0.000189\n",
       "...                      ...          ...\n",
       "2022-06-16 00:00:00  BTCUSDT    -0.000041\n",
       "2022-06-16 08:00:00  BTCUSDT     0.000045\n",
       "2022-06-16 16:00:00  BTCUSDT    -0.000053\n",
       "2022-06-17 00:00:00  BTCUSDT    -0.000022\n",
       "2022-06-17 08:00:00  BTCUSDT    -0.000095\n",
       "\n",
       "[1000 rows x 2 columns]"
      ]
     },
     "execution_count": 164,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fr0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 165,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fa0bf4d4358>]"
      ]
     },
     "execution_count": 165,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 640x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(100*get_funding_rates_binance('BTCUSDT').fundingRate)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 166,
   "metadata": {},
   "outputs": [],
   "source": [
    "symbols = [\n",
    "    '1000SHIBUSDT', '1000XECUSDT', '1INCHUSDT', 'AAVEUSDT', 'ADAUSDT', 'AKROUSDT',\n",
    "    'ALGOUSDT', 'ALICEUSDT', 'ALPHAUSDT', 'ANKRUSDT', 'ANTUSDT', 'APEUSDT',\n",
    "    'API3USDT', 'ARUSDT', 'ARPAUSDT', 'ATAUSDT', 'ATOMUSDT', 'AUDIOUSDT', 'AVAXUSDT',\n",
    "    'AXSUSDT', 'BAKEUSDT', 'BALUSDT', 'BANDUSDT', 'BATUSDT', 'BCHUSDT', 'BELUSDT',\n",
    "    'BLZUSDT', 'BNBUSDT', 'BNXUSDT', 'BTCUSDT', 'BTSUSDT', 'C98USDT', 'CELOUSDT', 'CELRUSDT',\n",
    "    'CHRUSDT', 'CHZUSDT', 'COMPUSDT', 'COTIUSDT', 'CRVUSDT', 'CTKUSDT', 'CTSIUSDT', 'CVCUSDT',\n",
    "    'DARUSDT', 'DASHUSDT', 'DEFIUSDT', 'DENTUSDT', 'DGBUSDT', 'DODOUSDT', 'DOGEUSDT', 'DOTUSDT',\n",
    "    'DUSKUSDT', 'DYDXUSDT', 'EGLDUSDT', 'ENJUSDT', 'ENSUSDT', 'EOSUSDT', 'ETCUSDT', 'ETHUSDT',\n",
    "    'FILUSDT', 'FLMUSDT', 'FLOWUSDT', 'FTMUSDT', 'FTTUSDT', 'GALUSDT', 'GALAUSDT',\n",
    "    'GMTUSDT', 'GRTUSDT', 'GTCUSDT', 'HBARUSDT', 'HNTUSDT', 'HOTUSDT', 'ICPUSDT', 'ICXUSDT',\n",
    "    'IMXUSDT', 'IOSTUSDT', 'IOTAUSDT', 'IOTXUSDT', 'JASMYUSDT', 'KAVAUSDT', 'KLAYUSDT', 'KNCUSDT',\n",
    "    'KSMUSDT', 'LINAUSDT', 'LINKUSDT', 'LITUSDT', 'LPTUSDT', 'LRCUSDT', 'LTCUSDT', 'MANAUSDT', 'MASKUSDT',\n",
    "    'MATICUSDT', 'MKRUSDT', 'MTLUSDT', 'NEARUSDT', 'NEOUSDT', 'NKNUSDT', 'OCEANUSDT', 'OGNUSDT', 'OMGUSDT',\n",
    "    'ONEUSDT', 'ONTUSDT', 'PEOPLEUSDT', 'QTUMUSDT', 'RAYUSDT', 'REEFUSDT', 'RENUSDT', 'RLCUSDT', 'ROSEUSDT',\n",
    "    'RSRUSDT', 'RUNEUSDT', 'RVNUSDT', 'SANDUSDT', 'SCUSDT', 'SFPUSDT', 'SKLUSDT', 'SNXUSDT', 'SOLUSDT',\n",
    "    'SRMUSDT', 'STMXUSDT', 'STORJUSDT', 'SUSHIUSDT', 'SXPUSDT', 'THETAUSDT', 'TLMUSDT', 'TOMOUSDT', 'TRBUSDT',\n",
    "    'TRXUSDT', 'UNFIUSDT', 'UNIUSDT', 'VETUSDT', 'WAVESUSDT', 'WOOUSDT', 'XEMUSDT', 'XLMUSDT',\n",
    "    'XMRUSDT', 'XRPUSDT', 'XTZUSDT', 'YFIUSDT', 'ZECUSDT', 'ZENUSDT', 'ZILUSDT', 'ZRXUSDT'\n",
    "]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 167,
   "metadata": {},
   "outputs": [],
   "source": [
    "def collect_historical_funding_rates(symbols):\n",
    "    res = None\n",
    "    for s in tqdm(symbols):\n",
    "        fr = get_funding_rates_binance(s)\n",
    "        res = pd.concat((res, fr.fundingRate.rename(s)), axis=1)\n",
    "    return res"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Collect historical rates"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "2b22179deb844709a022bfcaf07eca98",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value=''), FloatProgress(value=0.0, max=142.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "rates = collect_historical_funding_rates(symbols)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 168,
   "metadata": {},
   "outputs": [],
   "source": [
    "def trading_funding_rates(rates, threshold, capital_per_symbol):\n",
    "    pfl = {}\n",
    "    for s in tqdm(rates.columns.values):\n",
    "        fr = rates[s]\n",
    "        # funding rates should be at least > than transaction costs\n",
    "        trades = fr[fr > threshold]\n",
    "        pfl[f'{s}_PnL'] = capital_per_symbol * (trades - threshold)\n",
    "        pfl[f'{s}_Pos'] = pd.Series(capital_per_symbol, trades.index)\n",
    "    pfl = pd.DataFrame(pfl).fillna(0)\n",
    "    return pfl"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Based on these fees rates from Binance (https://www.binance.com/en/fee/schedule) we could estimate profitablity of this model on all perpetual futures."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 169,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "73b631ce3f65453a82b1ead42a89d373",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value=''), FloatProgress(value=0.0, max=142.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "39e27fd08623496b84687a33808f657c",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value=''), FloatProgress(value=0.0, max=142.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "transactions_market_orders_VIP0 = (\n",
    "    2*0.036 +     # 2 transactions on futures market (open and close) 0.036% as market taker\n",
    "    2*0.075       # 2 transactions on spot market (open and close) 0.075% as market taker\n",
    ") / 100\n",
    "\n",
    "transactions_limit_orders_VIP0 = (\n",
    "    2*0.018 +     # 2 transactions on futures market (open and close) 0.036% as market maker\n",
    "    2*0.075       # 2 transactions on spot market (open and close) 0.075% as market maker\n",
    ") / 100\n",
    "\n",
    "\n",
    "# run this for market orders entries/exits\n",
    "pfl_market_orders = trading_funding_rates(rates, transactions_market_orders_VIP0, 20_000)\n",
    "\n",
    "# run for limit orders entries/exits \n",
    "pfl_limit_orders = trading_funding_rates(rates, transactions_limit_orders_VIP0, 20_000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 170,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(18, 6))\n",
    "plt.plot(pfl_market_orders.filter(regex='.*_PnL').sum(axis=1).cumsum(), label='Market Orders Portfolio');\n",
    "plt.plot(pfl_limit_orders.filter(regex='.*_PnL').sum(axis=1).cumsum(), label='Limit Orders Portfolio'); \n",
    "plt.title('Funding arbitrage PnL (VIP0 - regular user)')\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It doesn't look like super profitable strategy for retail trader. What fees leves you should have to make this more attractive ? What's about VIP9"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 171,
   "metadata": {},
   "outputs": [],
   "source": [
    "transactions_market_orders_VIP9 = (\n",
    "    2*0.03 +     # 2 transactions on futures market (open and close) as market taker\n",
    "    2*0.0153     # 2 transactions on spot market (open and close)  as market taker\n",
    ") / 100\n",
    "\n",
    "transactions_limit_orders_VIP9 = (\n",
    "    2*0.015 +     # 2 transactions on futures market (open and close) as market maker\n",
    "    2*0.0         # 2 transactions on spot market (open and close) as market maker\n",
    ") / 100\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 172,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "6ac67bee4af74ded99a138c4d255b83f",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value=''), FloatProgress(value=0.0, max=142.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "f8ef7dfbfa4c42578f16a5be7492164b",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(HTML(value=''), FloatProgress(value=0.0, max=142.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "# run this for market orders entries/exits\n",
    "pfl_market_orders_VIP9 = trading_funding_rates(rates, transactions_market_orders_VIP9, 20_000)\n",
    "\n",
    "# run for limit orders entries/exits \n",
    "pfl_limit_orders_VIP9 = trading_funding_rates(rates, transactions_limit_orders_VIP9, 20_000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 173,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1440x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(18, 6))\n",
    "plt.plot(pfl_market_orders_VIP9.filter(regex='.*_PnL').sum(axis=1).cumsum(), label='Market Orders Portfolio');\n",
    "plt.plot(pfl_limit_orders_VIP9.filter(regex='.*_PnL').sum(axis=1).cumsum(), label='Limit Orders Portfolio'); \n",
    "plt.title('Funding arbitrage PnL (VIP9 - best commissions)')\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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",
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      "state": {
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