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00_at_100.md

Algorithmic Trading

In Less Than 100 Lines of Python Code

Dr. Yves J. Hilpisch | The Python Quants & The AI Machine

Texas State University, 30. March 2022

(short link to this Gist: https://bit.ly/at_100_gist)

Article & Slides

You find the article under https://bit.ly/100_algo

You find the slides under https://bit.ly/at_100_slides

Resources

This Gist contains selected resources used during the lecture.

Dislaimer

All the content, Python code, Jupyter Notebooks and other materials (the “Material”) come without warranties or representations, to the extent permitted by applicable law.

None of the Material represents any kind of recommendation or investment advice.

The Material is only meant as a technical illustration.

Leveraged and unleveraged trading of financial instruments, and of contracts for difference (CFDs) in particular, involves a number of risks (for example, losses in excess of deposits). Make sure to understand and manage these risks.

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01_at_100.ipynb
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"cell_type": "markdown",
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"source": [
"<img src='http://hilpisch.com/taim_logo.png' width=\"350px\" align=\"right\">"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Algorithmic Trading\n",
"\n",
"**In Less Than 100 Lines of Code**"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Dr. Yves J. Hilpisch | The Python Quants & The AI Machine\n",
"\n",
"https://tpq.io | https://aimachine.io | [@dyjh](http://twitter.com/dyjh)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Case Study: Regime Detection"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Basic Imports"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"from pylab import plt\n",
"plt.style.use('seaborn')\n",
"%config InlineBackend.figure_format = 'svg'"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Reading Financial Data"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"url = 'http://certificate.tpq.io/eod.csv' # EOD data"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"url = 'http://hilpisch.com/pyalgo_eikon_eod_data.csv' # EOD data"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"raw = pd.read_csv(url, index_col=0, parse_dates=True)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"<class 'pandas.core.frame.DataFrame'>\n",
"DatetimeIndex: 2609 entries, 2010-01-01 to 2020-01-01\n",
"Data columns (total 12 columns):\n",
" # Column Non-Null Count Dtype \n",
"--- ------ -------------- ----- \n",
" 0 AAPL.O 2516 non-null float64\n",
" 1 MSFT.O 2516 non-null float64\n",
" 2 INTC.O 2516 non-null float64\n",
" 3 AMZN.O 2516 non-null float64\n",
" 4 GS.N 2516 non-null float64\n",
" 5 SPY 2516 non-null float64\n",
" 6 .SPX 2516 non-null float64\n",
" 7 .VIX 2516 non-null float64\n",
" 8 EUR= 2609 non-null float64\n",
" 9 XAU= 2602 non-null float64\n",
" 10 GDX 2516 non-null float64\n",
" 11 GLD 2516 non-null float64\n",
"dtypes: float64(12)\n",
"memory usage: 265.0 KB\n"
]
}
],
"source": [
"raw.info()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"rets = np.log(raw / raw.shift(1)).dropna() # log returns"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
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"<table border=\"1\" class=\"dataframe\">\n",
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" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>AAPL.O</th>\n",
" <th>MSFT.O</th>\n",
" <th>INTC.O</th>\n",
" <th>AMZN.O</th>\n",
" <th>GS.N</th>\n",
" <th>SPY</th>\n",
" <th>.SPX</th>\n",
" <th>.VIX</th>\n",
" <th>EUR=</th>\n",
" <th>XAU=</th>\n",
" <th>GDX</th>\n",
" <th>GLD</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Date</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
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" <th></th>\n",
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" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
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" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2010-01-05</th>\n",
" <td>0.00</td>\n",
" <td>0.00</td>\n",
" <td>-0.00</td>\n",
" <td>0.01</td>\n",
" <td>0.02</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>-0.04</td>\n",
" <td>-0.00</td>\n",
" <td>-0.00</td>\n",
" <td>0.01</td>\n",
" <td>-0.00</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2010-01-06</th>\n",
" <td>-0.02</td>\n",
" <td>-0.01</td>\n",
" <td>-0.00</td>\n",
" <td>-0.02</td>\n",
" <td>-0.01</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>-0.01</td>\n",
" <td>0.00</td>\n",
" <td>0.02</td>\n",
" <td>0.02</td>\n",
" <td>0.02</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2010-01-07</th>\n",
" <td>-0.00</td>\n",
" <td>-0.01</td>\n",
" <td>-0.01</td>\n",
" <td>-0.02</td>\n",
" <td>0.02</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>-0.01</td>\n",
" <td>-0.01</td>\n",
" <td>-0.01</td>\n",
" <td>-0.00</td>\n",
" <td>-0.01</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2010-01-08</th>\n",
" <td>0.01</td>\n",
" <td>0.01</td>\n",
" <td>0.01</td>\n",
" <td>0.03</td>\n",
" <td>-0.02</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>-0.05</td>\n",
" <td>0.01</td>\n",
" <td>0.00</td>\n",
" <td>0.01</td>\n",
" <td>0.00</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2010-01-11</th>\n",
" <td>-0.01</td>\n",
" <td>-0.01</td>\n",
" <td>0.01</td>\n",
" <td>-0.02</td>\n",
" <td>-0.02</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>-0.03</td>\n",
" <td>0.01</td>\n",
" <td>0.01</td>\n",
" <td>0.01</td>\n",
" <td>0.01</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
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"text/plain": [
" AAPL.O MSFT.O INTC.O AMZN.O GS.N SPY .SPX .VIX EUR= XAU= \\\n",
"Date \n",
"2010-01-05 0.00 0.00 -0.00 0.01 0.02 0.0 0.0 -0.04 -0.00 -0.00 \n",
"2010-01-06 -0.02 -0.01 -0.00 -0.02 -0.01 0.0 0.0 -0.01 0.00 0.02 \n",
"2010-01-07 -0.00 -0.01 -0.01 -0.02 0.02 0.0 0.0 -0.01 -0.01 -0.01 \n",
"2010-01-08 0.01 0.01 0.01 0.03 -0.02 0.0 0.0 -0.05 0.01 0.00 \n",
"2010-01-11 -0.01 -0.01 0.01 -0.02 -0.02 0.0 0.0 -0.03 0.01 0.01 \n",
"\n",
" GDX GLD \n",
"Date \n",
"2010-01-05 0.01 -0.00 \n",
"2010-01-06 0.02 0.02 \n",
"2010-01-07 -0.00 -0.01 \n",
"2010-01-08 0.01 0.00 \n",
"2010-01-11 0.01 0.01 "
]
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"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
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"source": [
"rets.head().round(2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Regime Detection"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"... based on **unsupervised learning** (= only features, no labels)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Typical regimes are:\n",
"\n",
"* low volatility, positive trend\n",
"* low volatility, negative trend\n",
"* high volatility, positive trend\n",
"* high volatility, negative trend\n",
"\n",
"See, for example, this article about [market types](https://www.fxstreet.com/education/understanding-the-different-market-201601210000)."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.cluster import KMeans"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Features"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"f = ['mom', 'vol']"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"symbol = '.SPX'"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"data = pd.DataFrame(raw[symbol]).dropna()"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"data['r'] = np.log(data / data.shift(1)).dropna()"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"window = 20"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"data['mom'] = data['r'].rolling(window).mean() * 252 # momentum/trend"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"data['vol'] = data['r'].rolling(window).std() * 252 ** 0.5 # volatility/risk"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"<class 'pandas.core.frame.DataFrame'>\n",
"DatetimeIndex: 2516 entries, 2010-01-04 to 2019-12-31\n",
"Data columns (total 4 columns):\n",
" # Column Non-Null Count Dtype \n",
"--- ------ -------------- ----- \n",
" 0 .SPX 2516 non-null float64\n",
" 1 r 2515 non-null float64\n",
" 2 mom 2496 non-null float64\n",
" 3 vol 2496 non-null float64\n",
"dtypes: float64(4)\n",
"memory usage: 98.3 KB\n"
]
}
],
"source": [
"data.info()"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"data.dropna(inplace=True)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
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" <th>2010-02-08</th>\n",
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" <td>-1.010501</td>\n",
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" .SPX r mom vol\n",
"Date \n",
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"output_type": "execute_result"
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"source": [
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"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
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" <th>2019-12-24</th>\n",
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" <tr>\n",
" <th>2019-12-26</th>\n",
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" <th>2019-12-30</th>\n",
" <td>3221.29</td>\n",
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" <td>0.078162</td>\n",
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" <th>2019-12-31</th>\n",
" <td>3230.78</td>\n",
" <td>0.002942</td>\n",
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"text/plain": [
" .SPX r mom vol\n",
"Date \n",
"2019-12-24 3223.38 -0.000195 0.355764 0.075622\n",
"2019-12-26 3239.91 0.005115 0.392580 0.076726\n",
"2019-12-27 3240.02 0.000034 0.340519 0.076264\n",
"2019-12-30 3221.29 -0.005798 0.318113 0.078162\n",
"2019-12-31 3230.78 0.002942 0.464402 0.068915"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.tail()"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
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],
"source": [
"data[f].plot(kind='scatter', x='vol', y='mom');"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
"data[f] = (data[f] - data[f].mean()) / data[f].std() # Gaussian normalization"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"mom -0.0\n",
"vol 0.0\n",
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]
},
"execution_count": 22,
"metadata": {},
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}
],
"source": [
"data[f].mean().round(8)"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"mom 1.0\n",
"vol 1.0\n",
"dtype: float64"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data[f].std().round(8)"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
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},
"metadata": {},
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}
],
"source": [
"data[f].plot(kind='scatter', x='vol', y='mom');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Clustering"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Clustering = unsupervised learning."
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [],
"source": [
"model = KMeans(n_clusters=6) # 1. step = model instantiation"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"KMeans(n_clusters=6)"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"model.fit(data[f]) # 2. step = model fitting"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([5, 5, 5, ..., 1, 1, 1], dtype=int32)"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"r = model.predict(data[f]) # 3. step = prediction\n",
"r"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
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