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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" | |
| }, | |
| "data": [ | |
| { | |
| "name": "Williams r Strategy", | |
| "type": "scatter", | |
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