python-pour-finance/10-Plateforme-Quantopian/.ipynb_checkpoints/03-First-Trading-Algorithm-...

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"# First Trading Algorithm\n",
"## Pairs Trading\n",
"\n",
"Pairs trading is a strategy that uses two stocks that are highly correlated. We can then use the difference in price between the two stocks as signal if one moves out of correlation with the other. It is an older strategy that is used classically as a guide to beginning algorithmic trading. There is a fantastic full guide and write up on Investopedia you can find [here](http://www.investopedia.com/university/guide-pairs-trading/)! **I highly recommend reading the article in full before continuing, it is entertaining and informative!**\n",
"\n",
"\n",
"Let's create our first basic trading algorithm! This is an exercise in using quantopian, **NOT** a realistic representation of what a good algorithm is! Never use something as simple as this in the real world! This is an extremely simplified version of Pairs Trading, we won't be considering factors such as cointegration!"
]
},
{
"cell_type": "code",
"execution_count": 103,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"\n",
"import quandl"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## United Airlines and American Airlines"
]
},
{
"cell_type": "code",
"execution_count": 104,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"start = '07-01-2015'\n",
"end = '07-01-2017'"
]
},
{
"cell_type": "code",
"execution_count": 105,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"united = quandl.get('WIKI/UAL',start_date=start,end_date=end)\n",
"american = quandl.get('WIKI/AAL',start_date=start,end_date=end)"
]
},
{
"cell_type": "code",
"execution_count": 106,
"metadata": {},
"outputs": [
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" <th></th>\n",
" <th>Open</th>\n",
" <th>High</th>\n",
" <th>Low</th>\n",
" <th>Close</th>\n",
" <th>Volume</th>\n",
" <th>Ex-Dividend</th>\n",
" <th>Split Ratio</th>\n",
" <th>Adj. Open</th>\n",
" <th>Adj. High</th>\n",
" <th>Adj. Low</th>\n",
" <th>Adj. Close</th>\n",
" <th>Adj. Volume</th>\n",
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" <tr>\n",
" <th>Date</th>\n",
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" <tbody>\n",
" <tr>\n",
" <th>2015-01-07</th>\n",
" <td>64.96</td>\n",
" <td>66.11</td>\n",
" <td>64.00</td>\n",
" <td>65.53</td>\n",
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" <td>5133939.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2015-01-08</th>\n",
" <td>65.70</td>\n",
" <td>67.52</td>\n",
" <td>65.41</td>\n",
" <td>66.64</td>\n",
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" <th>2015-01-09</th>\n",
" <td>66.76</td>\n",
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" <td>64.90</td>\n",
" <td>65.34</td>\n",
" <td>3488027.0</td>\n",
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" <td>1.0</td>\n",
" <td>66.76</td>\n",
" <td>66.97</td>\n",
" <td>64.90</td>\n",
" <td>65.34</td>\n",
" <td>3488027.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2015-01-12</th>\n",
" <td>66.16</td>\n",
" <td>66.85</td>\n",
" <td>63.84</td>\n",
" <td>65.92</td>\n",
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" <td>63.84</td>\n",
" <td>65.92</td>\n",
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" </tr>\n",
" <tr>\n",
" <th>2015-01-13</th>\n",
" <td>66.84</td>\n",
" <td>68.26</td>\n",
" <td>65.45</td>\n",
" <td>66.41</td>\n",
" <td>6265791.0</td>\n",
" <td>0.0</td>\n",
" <td>1.0</td>\n",
" <td>66.84</td>\n",
" <td>68.26</td>\n",
" <td>65.45</td>\n",
" <td>66.41</td>\n",
" <td>6265791.0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
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"text/plain": [
" Open High Low Close Volume Ex-Dividend Split Ratio \\\n",
"Date \n",
"2015-01-07 64.96 66.11 64.00 65.53 5133939.0 0.0 1.0 \n",
"2015-01-08 65.70 67.52 65.41 66.64 6889597.0 0.0 1.0 \n",
"2015-01-09 66.76 66.97 64.90 65.34 3488027.0 0.0 1.0 \n",
"2015-01-12 66.16 66.85 63.84 65.92 5246008.0 0.0 1.0 \n",
"2015-01-13 66.84 68.26 65.45 66.41 6265791.0 0.0 1.0 \n",
"\n",
" Adj. Open Adj. High Adj. Low Adj. Close Adj. Volume \n",
"Date \n",
"2015-01-07 64.96 66.11 64.00 65.53 5133939.0 \n",
"2015-01-08 65.70 67.52 65.41 66.64 6889597.0 \n",
"2015-01-09 66.76 66.97 64.90 65.34 3488027.0 \n",
"2015-01-12 66.16 66.85 63.84 65.92 5246008.0 \n",
"2015-01-13 66.84 68.26 65.45 66.41 6265791.0 "
]
},
"execution_count": 106,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"united.head()"
]
},
{
"cell_type": "code",
"execution_count": 107,
"metadata": {},
"outputs": [
{
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" <th>Low</th>\n",
" <th>Close</th>\n",
" <th>Volume</th>\n",
" <th>Ex-Dividend</th>\n",
" <th>Split Ratio</th>\n",
" <th>Adj. Open</th>\n",
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" <th>Adj. Low</th>\n",
" <th>Adj. Close</th>\n",
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" <th>2015-01-07</th>\n",
" <td>53.38</td>\n",
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" <tr>\n",
" <th>2015-01-08</th>\n",
" <td>53.48</td>\n",
" <td>54.28</td>\n",
" <td>53.25</td>\n",
" <td>53.66</td>\n",
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" <th>2015-01-09</th>\n",
" <td>53.67</td>\n",
" <td>53.91</td>\n",
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" <td>52.02</td>\n",
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" <th>2015-01-13</th>\n",
" <td>50.12</td>\n",
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" Open High Low Close Volume Ex-Dividend Split Ratio \\\n",
"Date \n",
"2015-01-07 53.38 53.65 52.12 53.01 10069816.0 0.0 1.0 \n",
"2015-01-08 53.48 54.28 53.25 53.66 9672064.0 0.0 1.0 \n",
"2015-01-09 53.67 53.91 51.82 52.02 12290046.0 0.0 1.0 \n",
"2015-01-12 51.06 51.45 49.20 49.58 18261336.0 0.0 1.0 \n",
"2015-01-13 50.12 51.43 49.46 50.40 12259271.0 0.0 1.0 \n",
"\n",
" Adj. Open Adj. High Adj. Low Adj. Close Adj. Volume \n",
"Date \n",
"2015-01-07 52.103884 52.367430 50.874006 51.742730 10069816.0 \n",
"2015-01-08 52.201494 52.982369 51.976992 52.377191 9672064.0 \n",
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},
"execution_count": 107,
"metadata": {},
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}
],
"source": [
"american.head()"
]
},
{
"cell_type": "code",
"execution_count": 108,
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{
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008CJfWZlCP8JeLMvAq76DbDganNfWgaQVcSYRKLT5ZKLme2PmfGdYHRYMs77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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x20a50c66a20>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"american['Adj. Close'].plot(label='American Airlines',figsize=(12,8))\n",
"united['Adj. Close'].plot(label='United Airlines')\n",
"plt.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Spread and Correlation"
]
},
{
"cell_type": "code",
"execution_count": 126,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 1. , 0.92145101],\n",
" [ 0.92145101, 1. ]])"
]
},
"execution_count": 126,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.corrcoef(american['Adj. Close'],united['Adj. Close'])"
]
},
{
"cell_type": "code",
"execution_count": 117,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x20a51bc1710>"
]
},
"execution_count": 117,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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Ycx6CZftUA3c6wfKIwwdvIIRhuxxst1SZU3rdhuZy7P/Xt8Xs6Bdd/leZQhmG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\nkiSpw38A1u4scbGaVKUAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x20a51a47c18>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"spread = american['Adj. Close'] - united['Adj. Close']\n",
"spread.plot(label='Spread',figsize=(12,8))\n",
"plt.axhline(spread.mean(),c='r')\n",
"plt.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Normalizing with a z-score"
]
},
{
"cell_type": "code",
"execution_count": 119,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def zscore(stocks):\n",
" return (stocks - stocks.mean()) / np.std(stocks)"
]
},
{
"cell_type": "code",
"execution_count": 127,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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sTj8AIC9tcAHNpBwLMs16PPbhCRyq5VoaIqKxQNU1NIIgTASwAMBONY9LRERjU7PDB2Dw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\nAABQs/4/OrWBxMJ+1hcAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x20a52618438>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"zscore(spread).plot(figsize=(14,8))\n",
"plt.axhline(zscore(spread).mean(), color='black')\n",
"plt.axhline(1.0, c='r', ls='--')\n",
"plt.axhline(-1.0, c='g', ls='--')\n",
"plt.legend(['Spread z-score', 'Mean', '+1', '-1']);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Rolling Z-Score\n",
"\n",
"Our spread is currently American-United. Let's decide how to calculate this on a rolling basis for our use in Quantopian"
]
},
{
"cell_type": "code",
"execution_count": 133,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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jFbaOJgEAc32UjhAmL/3o7XjjF+71/fja4R0Az4Oez5Vw7+EF3P7kLJ6eibaHWzet9ImA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\nSOEpKRYRERGRwvv/E3nX3iSZ08QAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x20a52c60eb8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#1 day moving average of the price spread\n",
"spread_mavg1 = spread.rolling(1).mean()\n",
"\n",
"# 30 day moving average of the price spread\n",
"spread_mavg30 = spread.rolling(30).mean()\n",
"\n",
"# Take a rolling 30 day standard deviation\n",
"std_30 = spread.rolling(30).std()\n",
"\n",
"# Compute the z score for each day\n",
"zscore_30_1 = (spread_mavg1 - spread_mavg30)/std_30\n",
"\n",
"\n",
"\n",
"zscore_30_1.plot(figsize=(12,8),label='Rolling 30 day Z score')\n",
"plt.axhline(0, color='black')\n",
"plt.axhline(1.0, color='red', linestyle='--');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Implementation of Strategy\n",
"\n",
"#### WARNING: YOU SHOULD NOT ACTUALLY TRADE WITH THIS!"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import numpy as np\n",
" \n",
"def initialize(context):\n",
" \"\"\"\n",
" Called once at the start of the algorithm.\n",
" \"\"\" \n",
" \n",
" # Every day we check the pair status\n",
" schedule_function(check_pairs, date_rules.every_day(), time_rules.market_close(minutes=60))\n",
" \n",
" # Our Two Airlines\n",
" context.aa = sid(45971) #aal\n",
" context.ual = sid(28051) #ual \n",
" \n",
" # Flags to tell us if we're currently in a trade\n",
" context.long_on_spread = False\n",
" context.shorting_spread = False\n",
"\n",
"\n",
"def check_pairs(context, data):\n",
" \n",
" # For convenience\n",
" aa = context.aa\n",
" ual = context.ual\n",
" \n",
" # Get pricing history\n",
" prices = data.history([aa, ual], \"price\", 30, '1d')\n",
" \n",
" \n",
" # Need to use .iloc[-1:] to get dataframe instead of series\n",
" short_prices = prices.iloc[-1:]\n",
" \n",
" # Get the long 30 day mavg\n",
" mavg_30 = np.mean(prices[aa] - prices[ual])\n",
" \n",
" # Get the std of the 30 day long window\n",
" std_30 = np.std(prices[aa] - prices[ual])\n",
" \n",
" # Get the shorter span 1 day mavg\n",
" mavg_1 = np.mean(short_prices[aa] - short_prices[ual])\n",
" \n",
" # Compute z-score\n",
" if std_30 > 0:\n",
" zscore = (mavg_1 - mavg_30)/std_30\n",
" \n",
" # Our two entry cases\n",
" if zscore > 0.5 and not context.shorting_spread:\n",
" # spread = aa - ual\n",
" order_target_percent(aa, -0.5) # short top\n",
" order_target_percent(ual, 0.5) # long bottom\n",
" context.shorting_spread = True\n",
" context.long_on_spread = False\n",
" \n",
" elif zscore < -0.5 and not context.long_on_spread:\n",
" # spread = aa - ual\n",
" order_target_percent(aa, 0.5) # long top\n",
" order_target_percent(ual, -0.5) # short bottom\n",
" context.shorting_spread = False\n",
" context.long_on_spread = True\n",
" \n",
" # Our exit case\n",
" elif abs(zscore) < 0.1:\n",
" order_target_percent(aa, 0)\n",
" order_target_percent(ual, 0)\n",
" context.shorting_spread = False\n",
" context.long_on_spread = False\n",
" \n",
" record('zscore', zscore)"
]
}
],
"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",
"version": "3.6.1"
}
},
"nbformat": 4,
"nbformat_minor": 1
}