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@GrovesD2
Created October 28, 2023 13:39
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A backtest and parameter optimisation for the Williams %r strategy
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{
"cells": [
{
"cell_type": "code",
"execution_count": 156,
"id": "e8372788",
"metadata": {},
"outputs": [],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"\n",
"import yfinance as yf\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 345,
"id": "f4f21afa",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[*********************100%***********************] 1 of 1 completed\n"
]
}
],
"source": [
"df_master = yf.download('QQQ').reset_index()"
]
},
{
"cell_type": "code",
"execution_count": 346,
"id": "d68f180c",
"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>Date</th>\n",
" <th>Open</th>\n",
" <th>High</th>\n",
" <th>Low</th>\n",
" <th>Close</th>\n",
" <th>Adj Close</th>\n",
" <th>Volume</th>\n",
" <th>pct_change</th>\n",
" <th>pct_change_tomorrow</th>\n",
" <th>williams</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>9</th>\n",
" <td>1999-03-23</td>\n",
" <td>50.3125</td>\n",
" <td>50.50000</td>\n",
" <td>48.718750</td>\n",
" <td>48.81250</td>\n",
" <td>41.788815</td>\n",
" <td>10962400</td>\n",
" <td>-0.035207</td>\n",
" <td>0.033931</td>\n",
" <td>-97.931034</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10</th>\n",
" <td>1999-03-24</td>\n",
" <td>49.2500</td>\n",
" <td>50.50000</td>\n",
" <td>48.500000</td>\n",
" <td>50.46875</td>\n",
" <td>43.206753</td>\n",
" <td>8447000</td>\n",
" <td>0.033931</td>\n",
" <td>0.036532</td>\n",
" <td>-58.552632</td>\n",
" </tr>\n",
" <tr>\n",
" <th>11</th>\n",
" <td>1999-03-25</td>\n",
" <td>51.2500</td>\n",
" <td>52.31250</td>\n",
" <td>50.914062</td>\n",
" <td>52.31250</td>\n",
" <td>44.785191</td>\n",
" <td>8133800</td>\n",
" <td>0.036532</td>\n",
" <td>-0.010753</td>\n",
" <td>-19.736842</td>\n",
" </tr>\n",
" <tr>\n",
" <th>12</th>\n",
" <td>1999-03-26</td>\n",
" <td>51.8750</td>\n",
" <td>52.46875</td>\n",
" <td>51.531250</td>\n",
" <td>51.75000</td>\n",
" <td>44.303623</td>\n",
" <td>8256200</td>\n",
" <td>-0.010753</td>\n",
" <td>0.036232</td>\n",
" <td>-31.578947</td>\n",
" </tr>\n",
" <tr>\n",
" <th>13</th>\n",
" <td>1999-03-29</td>\n",
" <td>52.3750</td>\n",
" <td>53.65625</td>\n",
" <td>52.062500</td>\n",
" <td>53.62500</td>\n",
" <td>45.908844</td>\n",
" <td>5113800</td>\n",
" <td>0.036232</td>\n",
" <td>-0.006993</td>\n",
" <td>-0.606061</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Date Open High Low Close Adj Close Volume \n",
"9 1999-03-23 50.3125 50.50000 48.718750 48.81250 41.788815 10962400 \\\n",
"10 1999-03-24 49.2500 50.50000 48.500000 50.46875 43.206753 8447000 \n",
"11 1999-03-25 51.2500 52.31250 50.914062 52.31250 44.785191 8133800 \n",
"12 1999-03-26 51.8750 52.46875 51.531250 51.75000 44.303623 8256200 \n",
"13 1999-03-29 52.3750 53.65625 52.062500 53.62500 45.908844 5113800 \n",
"\n",
" pct_change pct_change_tomorrow williams \n",
"9 -0.035207 0.033931 -97.931034 \n",
"10 0.033931 0.036532 -58.552632 \n",
"11 0.036532 -0.010753 -19.736842 \n",
"12 -0.010753 0.036232 -31.578947 \n",
"13 0.036232 -0.006993 -0.606061 "
]
},
"execution_count": 346,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df = df_master.copy()\n",
"\n",
"lookback = 10\n",
"\n",
"highest_high = df['High'].rolling(lookback).max()\n",
"lowest_low = df['Low'].rolling(lookback).min()\n",
"\n",
"df['pct_change'] = df['Adj Close'].pct_change()\n",
"df['pct_change_tomorrow'] = df['pct_change'].shift(-1)\n",
"\n",
"df['williams'] = -100*(highest_high - df['Close'])/(highest_high - lowest_low)\n",
"df = df.dropna()\n",
"\n",
"df.head()"
]
},
{
"cell_type": "code",
"execution_count": 347,
"id": "f114a5c8",
"metadata": {},
"outputs": [],
"source": [
"entry = (df['williams'] < -90).values\n",
"exit = (df['williams'] > -30) | (df['Close'] > df['High'].shift(1)).values\n",
"percentages = df['pct_change_tomorrow'].values\n",
"\n",
"results = []\n",
"in_trade = False\n",
"\n",
"for n in range(entry.shape[0]):\n",
" \n",
" if in_trade == False and entry[n] == True:\n",
" results.append(percentages[n])\n",
" \n",
" elif in_trade and exit[n] == False:\n",
" results.append(percentages[n])\n",
" \n",
" elif in_trade and exit[n] == True:\n",
" results.append(0)\n",
" in_trade = False\n",
" \n",
" else:\n",
" results.append(0)\n",
" \n",
"results = np.array(results)"
]
},
{
"cell_type": "code",
"execution_count": 348,
"id": "87628417",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\Users\\danny\\anaconda3\\lib\\site-packages\\plotly\\graph_objs\\_deprecations.py:378: DeprecationWarning:\n",
"\n",
"plotly.graph_objs.Line is deprecated.\n",
"Please replace it with one of the following more specific types\n",
" - plotly.graph_objs.scatter.Line\n",
" - plotly.graph_objs.layout.shape.Line\n",
" - etc.\n",
"\n",
"\n"
]
},
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
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"data": [
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"name": "Williams r Strategy",
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