ml-finance-python
python scripts for finance machine learning
git clone https://9o.is/git/ml-finance-python.git
tufts_overview.ipynb
(295638B)
1 {
2 "cells": [
3 {
4 "cell_type": "markdown",
5 "metadata": {},
6 "source": [
7 "# Risk"
8 ]
9 },
10 {
11 "cell_type": "code",
12 "execution_count": 55,
13 "metadata": {
14 "collapsed": false
15 },
16 "outputs": [],
17 "source": [
18 "start = '2002-01-02'\n",
19 "end = '2015-11-09'\n",
20 "df = get_pricing('SPY', fields=['close_price'], start_date=start, end_date=end)"
21 ]
22 },
23 {
24 "cell_type": "code",
25 "execution_count": 56,
26 "metadata": {
27 "collapsed": false
28 },
29 "outputs": [
30 {
31 "data": {
32 "text/plain": [
33 "<matplotlib.axes._subplots.AxesSubplot at 0x7f4376f07b10>"
34 ]
35 },
36 "execution_count": 56,
37 "metadata": {},
38 "output_type": "execute_result"
39 },
40 {
41 "data": {
42 "image/png": 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btG9ybAXPLM7rfIryS3U4cNz6c6k5h4aIiIiIqPM6m1MJAEgf2lTeePropjksSiWgdhHQ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AAAAc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\nRU5ErkJggg==\n",
43 "text/plain": [
44 "<matplotlib.figure.Figure at 0x7f43768ce1d0>"
45 ]
46 },
47 "metadata": {},
48 "output_type": "display_data"
49 }
50 ],
51 "source": [
52 "df.plot()"
53 ]
54 },
55 {
56 "cell_type": "code",
57 "execution_count": 57,
58 "metadata": {
59 "collapsed": false
60 },
61 "outputs": [],
62 "source": [
63 "daily_returns = (df.close_price.shift(-1) - df.close_price) / df.close_price\n",
64 "df = df.ix[1:] # remove empty value\n",
65 "df['daily_returns'] = daily_returns"
66 ]
67 },
68 {
69 "cell_type": "code",
70 "execution_count": 58,
71 "metadata": {
72 "collapsed": true
73 },
74 "outputs": [],
75 "source": [
76 "mean_annual_return = df.daily_returns.mean() * 252\n",
77 "annualized_std = df.daily_returns.std() * (252**.5)"
78 ]
79 },
80 {
81 "cell_type": "code",
82 "execution_count": 59,
83 "metadata": {
84 "collapsed": true
85 },
86 "outputs": [],
87 "source": [
88 "mean_excess_return = mean_annual_return - .04\n",
89 "sharpe_ratio = mean_excess_return / annualized_std\n",
90 "opt_leverage = mean_excess_return / (annualized_std**2)"
91 ]
92 },
93 {
94 "cell_type": "code",
95 "execution_count": 60,
96 "metadata": {
97 "collapsed": false
98 },
99 "outputs": [
100 {
101 "name": "stdout",
102 "output_type": "stream",
103 "text": [
104 "0.106973189664\n"
105 ]
106 }
107 ],
108 "source": [
109 "print sharpe_ratio"
110 ]
111 },
112 {
113 "cell_type": "code",
114 "execution_count": 61,
115 "metadata": {
116 "collapsed": false
117 },
118 "outputs": [
119 {
120 "name": "stdout",
121 "output_type": "stream",
122 "text": [
123 "0.545621394786\n"
124 ]
125 }
126 ],
127 "source": [
128 "print opt_leverage"
129 ]
130 },
131 {
132 "cell_type": "code",
133 "execution_count": 62,
134 "metadata": {
135 "collapsed": false
136 },
137 "outputs": [
138 {
139 "name": "stdout",
140 "output_type": "stream",
141 "text": [
142 "If the kelly optimal leverage is 0.545621394786 and you have 100000 to invest, you should buy (and/or borrow to buy) 54562 worth of SPY, under the assumption you believe the expected values of your returns and standard deviations (which assumes they are normally distributed)\n"
143 ]
144 }
145 ],
146 "source": [
147 "capital = 100000\n",
148 "purchase = int(capital * opt_leverage)\n",
149 "print \"If the kelly optimal leverage is {} and you have {} to invest, you should \\\n",
150 "buy (and/or borrow to buy) {} worth of SPY, under the assumption you believe the \\\n",
151 "expected values of your returns and standard deviations (which \\\n",
152 "assumes they are normally distributed)\".format(opt_leverage, capital, purchase)"
153 ]
154 },
155 {
156 "cell_type": "markdown",
157 "metadata": {},
158 "source": [
159 "# Regression & Plotting"
160 ]
161 },
162 {
163 "cell_type": "code",
164 "execution_count": 63,
165 "metadata": {
166 "collapsed": true
167 },
168 "outputs": [],
169 "source": [
170 "import pandas as pd\n",
171 "import matplotlib.pyplot as plt"
172 ]
173 },
174 {
175 "cell_type": "code",
176 "execution_count": 64,
177 "metadata": {
178 "collapsed": false
179 },
180 "outputs": [
181 {
182 "data": {
183 "text/plain": [
184 "<matplotlib.axes._subplots.AxesSubplot at 0x7f4374dc1fd0>"
185 ]
186 },
187 "execution_count": 64,
188 "metadata": {},
189 "output_type": "execute_result"
190 },
191 {
192 "data": {
193 "image/png": 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7B2+YjU++rsKsKcWYPUVYdyUvy9hr46XeEVXg4nK5cNlll6G4uBjPP/882tra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\nJxu78MV2Yapzt82JNyoOhqw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zd+/aCa2m7+tcYnndxpUacbDGCntnHSor2yI/IUbmTiEA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\nFwAAAAClx+ACAAAAoPR+AWmwSZTlSv3OAAAAAElFTkSuQmCC\n",
194 "text/plain": [
195 "<matplotlib.figure.Figure at 0x7f43768c9110>"
196 ]
197 },
198 "metadata": {},
199 "output_type": "display_data"
200 }
201 ],
202 "source": [
203 "start = '2003-09-22'\n",
204 "end = '2013-09-17'\n",
205 "prices = get_pricing('WFM', fields='price', start_date=start, end_date=end)\n",
206 "prices.plot()"
207 ]
208 },
209 {
210 "cell_type": "code",
211 "execution_count": 65,
212 "metadata": {
213 "collapsed": false
214 },
215 "outputs": [
216 {
217 "data": {
218 "text/plain": [
219 "count 2515.000000\n",
220 "mean 26.004168\n",
221 "std 12.064238\n",
222 "min 4.095000\n",
223 "25% 17.880000\n",
224 "50% 23.430000\n",
225 "75% 32.990000\n",
226 "max 58.150000\n",
227 "Name: Equity(8158 [WFM]), dtype: float64"
228 ]
229 },
230 "execution_count": 65,
231 "metadata": {},
232 "output_type": "execute_result"
233 }
234 ],
235 "source": [
236 "prices.describe()"
237 ]
238 },
239 {
240 "cell_type": "code",
241 "execution_count": 66,
242 "metadata": {
243 "collapsed": false
244 },
245 "outputs": [
246 {
247 "data": {
248 "text/plain": [
249 "<matplotlib.axes._subplots.AxesSubplot at 0x7f4374cfb890>"
250 ]
251 },
252 "execution_count": 66,
253 "metadata": {},
254 "output_type": "execute_result"
255 },
256 {
257 "data": {
258 "image/png": 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e2FOEycPAg7dOv+DxqDA/Hrl7Dp+/OZOc4gasNjuzUiPw8/F0eg0Bvp7ccW0qxwpqeebN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259 "text/plain": [
260 "<matplotlib.figure.Figure at 0x7f437690e550>"
261 ]
262 },
263 "metadata": {},
264 "output_type": "display_data"
265 }
266 ],
267 "source": [
268 "pd.rolling_mean(prices, 30).plot()"
269 ]
270 },
271 {
272 "cell_type": "code",
273 "execution_count": 67,
274 "metadata": {
275 "collapsed": true
276 },
277 "outputs": [],
278 "source": [
279 "import numpy as np\n",
280 "from statsmodels import regression\n",
281 "import statsmodels.api as sm"
282 ]
283 },
284 {
285 "cell_type": "code",
286 "execution_count": 68,
287 "metadata": {
288 "collapsed": false
289 },
290 "outputs": [
291 {
292 "data": {
293 "text/plain": [
294 "DatetimeIndex(['2003-09-22', '2003-09-23', '2003-09-24', '2003-09-25',\n",
295 " '2003-09-26', '2003-09-29', '2003-09-30', '2003-10-01',\n",
296 " '2003-10-02', '2003-10-03', \n",
297 " ...\n",
298 " '2013-09-04', '2013-09-05', '2013-09-06', '2013-09-09',\n",
299 " '2013-09-10', '2013-09-11', '2013-09-12', '2013-09-13',\n",
300 " '2013-09-16', '2013-09-17'],\n",
301 " dtype='datetime64[ns]', length=2515, freq=None, tz='UTC')"
302 ]
303 },
304 "execution_count": 68,
305 "metadata": {},
306 "output_type": "execute_result"
307 }
308 ],
309 "source": [
310 "prices.index"
311 ]
312 },
313 {
314 "cell_type": "code",
315 "execution_count": 69,
316 "metadata": {
317 "collapsed": false
318 },
319 "outputs": [
320 {
321 "data": {
322 "text/plain": [
323 "array([ 13.638, 13.539, 13.308, ..., 57.11 , 57.71 , 58.15 ])"
324 ]
325 },
326 "execution_count": 69,
327 "metadata": {},
328 "output_type": "execute_result"
329 }
330 ],
331 "source": [
332 "prices.values"
333 ]
334 },
335 {
336 "cell_type": "code",
337 "execution_count": 70,
338 "metadata": {
339 "collapsed": false
340 },
341 "outputs": [],
342 "source": [
343 "def linreg(X, Y):\n",
344 " # fit\n",
345 " X = sm.add_constant(X)\n",
346 " model = regression.linear_model.OLS(Y, X).fit()\n",
347 " a = model.params[0]\n",
348 " b = model.params[1]\n",
349 " X = X[:, 1]\n",
350 "\n",
351 " # summarize and plot\n",
352 " X2 = np.linspace(X.min(), X.max(), 100)\n",
353 " Y_hat = X2 * b + a\n",
354 " plt.scatter(X, Y, alpha=0.3) # Plot the raw data\n",
355 " plt.plot(X2, Y_hat, 'r', alpha=0.9); # Add the regression line, colored in red\n",
356 " plt.xlabel('SPY')\n",
357 " plt.ylabel('WFM')\n",
358 " return model.summary()"
359 ]
360 },
361 {
362 "cell_type": "code",
363 "execution_count": 71,
364 "metadata": {
365 "collapsed": false
366 },
367 "outputs": [
368 {
369 "data": {
370 "text/html": [
371 "<table class=\"simpletable\">\n",
372 "<caption>OLS Regression Results</caption>\n",
373 "<tr>\n",
374 " <th>Dep. Variable:</th> <td>y</td> <th> R-squared: </th> <td> 0.249</td> \n",
375 "</tr>\n",
376 "<tr>\n",
377 " <th>Model:</th> <td>OLS</td> <th> Adj. R-squared: </th> <td> 0.249</td> \n",
378 "</tr>\n",
379 "<tr>\n",
380 " <th>Method:</th> <td>Least Squares</td> <th> F-statistic: </th> <td> 1155.</td> \n",
381 "</tr>\n",
382 "<tr>\n",
383 " <th>Date:</th> <td>Wed, 18 Nov 2015</td> <th> Prob (F-statistic):</th> <td>7.51e-219</td>\n",
384 "</tr>\n",
385 "<tr>\n",
386 " <th>Time:</th> <td>22:08:03</td> <th> Log-Likelihood: </th> <td> 8492.7</td> \n",
387 "</tr>\n",
388 "<tr>\n",
389 " <th>No. Observations:</th> <td> 3488</td> <th> AIC: </th> <td>-1.698e+04</td>\n",
390 "</tr>\n",
391 "<tr>\n",
392 " <th>Df Residuals:</th> <td> 3486</td> <th> BIC: </th> <td>-1.697e+04</td>\n",
393 "</tr>\n",
394 "<tr>\n",
395 " <th>Df Model:</th> <td> 1</td> <th> </th> <td> </td> \n",
396 "</tr>\n",
397 "<tr>\n",
398 " <th>Covariance Type:</th> <td>nonrobust</td> <th> </th> <td> </td> \n",
399 "</tr>\n",
400 "</table>\n",
401 "<table class=\"simpletable\">\n",
402 "<tr>\n",
403 " <td></td> <th>coef</th> <th>std err</th> <th>t</th> <th>P>|t|</th> <th>[95.0% Conf. Int.]</th> \n",
404 "</tr>\n",
405 "<tr>\n",
406 " <th>const</th> <td> 0.0004</td> <td> 0.000</td> <td> 0.986</td> <td> 0.324</td> <td> -0.000 0.001</td>\n",
407 "</tr>\n",
408 "<tr>\n",
409 " <th>x1</th> <td> 0.9880</td> <td> 0.029</td> <td> 33.979</td> <td> 0.000</td> <td> 0.931 1.045</td>\n",
410 "</tr>\n",
411 "</table>\n",
412 "<table class=\"simpletable\">\n",
413 "<tr>\n",
414 " <th>Omnibus:</th> <td>2047.688</td> <th> Durbin-Watson: </th> <td> 1.992</td> \n",
415 "</tr>\n",
416 "<tr>\n",
417 " <th>Prob(Omnibus):</th> <td> 0.000</td> <th> Jarque-Bera (JB): </th> <td>327316.963</td>\n",
418 "</tr>\n",
419 "<tr>\n",
420 " <th>Skew:</th> <td> 1.755</td> <th> Prob(JB): </th> <td> 0.00</td> \n",
421 "</tr>\n",
422 "<tr>\n",
423 " <th>Kurtosis:</th> <td>50.327</td> <th> Cond. No. </th> <td> 81.0</td> \n",
424 "</tr>\n",
425 "</table>"
426 ],
427 "text/plain": [
428 "<class 'statsmodels.iolib.summary.Summary'>\n",
429 "\"\"\"\n",
430 " OLS Regression Results \n",
431 "==============================================================================\n",
432 "Dep. Variable: y R-squared: 0.249\n",
433 "Model: OLS Adj. R-squared: 0.249\n",
434 "Method: Least Squares F-statistic: 1155.\n",
435 "Date: Wed, 18 Nov 2015 Prob (F-statistic): 7.51e-219\n",
436 "Time: 22:08:03 Log-Likelihood: 8492.7\n",
437 "No. Observations: 3488 AIC: -1.698e+04\n",
438 "Df Residuals: 3486 BIC: -1.697e+04\n",
439 "Df Model: 1 \n",
440 "Covariance Type: nonrobust \n",
441 "==============================================================================\n",
442 " coef std err t P>|t| [95.0% Conf. Int.]\n",
443 "------------------------------------------------------------------------------\n",
444 "const 0.0004 0.000 0.986 0.324 -0.000 0.001\n",
445 "x1 0.9880 0.029 33.979 0.000 0.931 1.045\n",
446 "==============================================================================\n",
447 "Omnibus: 2047.688 Durbin-Watson: 1.992\n",
448 "Prob(Omnibus): 0.000 Jarque-Bera (JB): 327316.963\n",
449 "Skew: 1.755 Prob(JB): 0.00\n",
450 "Kurtosis: 50.327 Cond. No. 81.0\n",
451 "==============================================================================\n",
452 "\n",
453 "Warnings:\n",
454 "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
455 "\"\"\""
456 ]
457 },
458 "execution_count": 71,
459 "metadata": {},
460 "output_type": "execute_result"
461 },
462 {
463 "data": {
464 "image/png": 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KALBmmaapysqCeA/jtpi7BkzSzBqwO/X5AsBaw9taAAAAAGATQQoAcMe5E9YW3Q1rwABg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58effRRnT59Wg6HQyUlJXriiSeG11fAPmLtB5H2h/1E2xdef/11PfnkkzIMQ5s2bdJ3v/tdSeKc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\nJhGkAAAAAMCk/wfCINpyk2AlvAAAAABJRU5ErkJggg==\n",
465 "text/plain": [
466 "<matplotlib.figure.Figure at 0x7f4374c15bd0>"
467 ]
468 },
469 "metadata": {},
470 "output_type": "display_data"
471 }
472 ],
473 "source": [
474 "start = '2002-01-02'\n",
475 "end = '2015-11-09'\n",
476 "asset = get_pricing('WFM', fields='price', start_date=start, end_date=end)\n",
477 "benchmark = get_pricing('SPY', fields='price', start_date=start, end_date=end)\n",
478 "\n",
479 "# We have to take the percent changes to get to returns\n",
480 "# Get rid of the first (0th) element because it is NAN\n",
481 "r_a = asset.pct_change()[1:]\n",
482 "r_b = benchmark.pct_change()[1:]\n",
483 "\n",
484 "linreg(r_b.values, r_a.values)"
485 ]
486 },
487 {
488 "cell_type": "markdown",
489 "metadata": {},
490 "source": [
491 "# Data"
492 ]
493 },
494 {
495 "cell_type": "code",
496 "execution_count": 72,
497 "metadata": {
498 "collapsed": true
499 },
500 "outputs": [],
501 "source": [
502 "from odo import odo\n",
503 "import pandas as pd\n",
504 "from quantopian.interactive.data.eventvestor import clinical_trials_free as clinical_trials"
505 ]
506 },
507 {
508 "cell_type": "code",
509 "execution_count": 73,
510 "metadata": {
511 "collapsed": false
512 },
513 "outputs": [
514 {
515 "data": {
516 "text/plain": [
517 "dshape(\"\"\"var * {\n",
518 " event_id: ?float64,\n",
519 " asof_date: datetime,\n",
520 " trade_date: ?datetime,\n",
521 " symbol: ?string,\n",
522 " event_type: ?string,\n",
523 " event_headline: ?string,\n",
524 " clinical_phase: ?string,\n",
525 " clinical_scope: ?string,\n",
526 " clinical_result: ?string,\n",
527 " product_name: ?string,\n",
528 " event_rating: ?float64,\n",
529 " timestamp: datetime,\n",
530 " sid: ?int64\n",
531 " }\"\"\")"
532 ]
533 },
534 "execution_count": 73,
535 "metadata": {},
536 "output_type": "execute_result"
537 }
538 ],
539 "source": [
540 "# Blaze\n",
541 "clinical_trials.dshape"
542 ]
543 },
544 {
545 "cell_type": "code",
546 "execution_count": 74,
547 "metadata": {
548 "collapsed": false
549 },
550 "outputs": [
551 {
552 "data": {
553 "text/html": [
554 "48448"
555 ],
556 "text/plain": [
557 "48448"
558 ]
559 },
560 "execution_count": 74,
561 "metadata": {},
562 "output_type": "execute_result"
563 }
564 ],
565 "source": [
566 "clinical_trials.count()"
567 ]
568 },
569 {
570 "cell_type": "code",
571 "execution_count": 75,
572 "metadata": {
573 "collapsed": false
574 },
575 "outputs": [
576 {
577 "data": {
578 "text/html": [
579 "<table border=\"1\" class=\"dataframe\">\n",
580 " <thead>\n",
581 " <tr style=\"text-align: right;\">\n",
582 " <th></th>\n",
583 " <th>event_id</th>\n",
584 " <th>asof_date</th>\n",
585 " <th>trade_date</th>\n",
586 " <th>symbol</th>\n",
587 " <th>event_type</th>\n",
588 " <th>event_headline</th>\n",
589 " <th>clinical_phase</th>\n",
590 " <th>clinical_scope</th>\n",
591 " <th>clinical_result</th>\n",
592 " <th>product_name</th>\n",
593 " <th>event_rating</th>\n",
594 " <th>timestamp</th>\n",
595 " <th>sid</th>\n",
596 " </tr>\n",
597 " </thead>\n",
598 " <tbody>\n",
599 " <tr>\n",
600 " <th>0</th>\n",
601 " <td>138303</td>\n",
602 " <td>2007-01-03</td>\n",
603 " <td>2007-01-03</td>\n",
604 " <td>IMCL</td>\n",
605 " <td>Clinical Trials</td>\n",
606 " <td>ImClone Systems Commences Patient Treatment in...</td>\n",
607 " <td>Phase I</td>\n",
608 " <td>NaN</td>\n",
609 " <td>NaN</td>\n",
610 " <td>IMC-3G3</td>\n",
611 " <td>1</td>\n",
612 " <td>2007-01-04</td>\n",
613 " <td>3871</td>\n",
614 " </tr>\n",
615 " <tr>\n",
616 " <th>1</th>\n",
617 " <td>138180</td>\n",
618 " <td>2007-01-04</td>\n",
619 " <td>2007-01-04</td>\n",
620 " <td>DNA</td>\n",
621 " <td>Clinical Trials</td>\n",
622 " <td>Genentech Announces Positive Results From Rand...</td>\n",
623 " <td>Phase II</td>\n",
624 " <td>NaN</td>\n",
625 " <td>Positive</td>\n",
626 " <td>Pertuzumab</td>\n",
627 " <td>1</td>\n",
628 " <td>2007-01-05</td>\n",
629 " <td>24847</td>\n",
630 " </tr>\n",
631 " <tr>\n",
632 " <th>2</th>\n",
633 " <td>952759</td>\n",
634 " <td>2007-01-04</td>\n",
635 " <td>2007-01-04</td>\n",
636 " <td>VICL</td>\n",
637 " <td>Clinical Trials</td>\n",
638 " <td>Vical Initiates Pivotal Phase 3 Trial of Allov...</td>\n",
639 " <td>Phase III</td>\n",
640 " <td>NaN</td>\n",
641 " <td>NaN</td>\n",
642 " <td>Allovectin-7</td>\n",
643 " <td>1</td>\n",
644 " <td>2007-01-05</td>\n",
645 " <td>8763</td>\n",
646 " </tr>\n",
647 " </tbody>\n",
648 "</table>"
649 ],
650 "text/plain": [
651 " event_id asof_date trade_date symbol event_type \\\n",
652 "0 138303 2007-01-03 2007-01-03 IMCL Clinical Trials \n",
653 "1 138180 2007-01-04 2007-01-04 DNA Clinical Trials \n",
654 "2 952759 2007-01-04 2007-01-04 VICL Clinical Trials \n",
655 "\n",
656 " event_headline clinical_phase \\\n",
657 "0 ImClone Systems Commences Patient Treatment in... Phase I \n",
658 "1 Genentech Announces Positive Results From Rand... Phase II \n",
659 "2 Vical Initiates Pivotal Phase 3 Trial of Allov... Phase III \n",
660 "\n",
661 " clinical_scope clinical_result product_name event_rating timestamp sid \n",
662 "0 NaN NaN IMC-3G3 1 2007-01-04 3871 \n",
663 "1 NaN Positive Pertuzumab 1 2007-01-05 24847 \n",
664 "2 NaN NaN Allovectin-7 1 2007-01-05 8763 "
665 ]
666 },
667 "execution_count": 75,
668 "metadata": {},
669 "output_type": "execute_result"
670 }
671 ],
672 "source": [
673 "clinical_trials[:3]"
674 ]
675 },
676 {
677 "cell_type": "code",
678 "execution_count": 76,
679 "metadata": {
680 "collapsed": false
681 },
682 "outputs": [
683 {
684 "data": {
685 "text/html": [
686 "<table border=\"1\" class=\"dataframe\">\n",
687 " <thead>\n",
688 " <tr style=\"text-align: right;\">\n",
689 " <th></th>\n",
690 " <th>timestamp</th>\n",
691 " <th>sid</th>\n",
692 " <th>product_name</th>\n",
693 " </tr>\n",
694 " </thead>\n",
695 " <tbody>\n",
696 " <tr>\n",
697 " <th>0</th>\n",
698 " <td>2007-01-05</td>\n",
699 " <td>8763</td>\n",
700 " <td>Allovectin-7</td>\n",
701 " </tr>\n",
702 " <tr>\n",
703 " <th>1</th>\n",
704 " <td>2007-01-09</td>\n",
705 " <td>1416</td>\n",
706 " <td>FENTORA</td>\n",
707 " </tr>\n",
708 " <tr>\n",
709 " <th>2</th>\n",
710 " <td>2007-01-11</td>\n",
711 " <td>3871</td>\n",
712 " <td>ERBITUX</td>\n",
713 " </tr>\n",
714 " <tr>\n",
715 " <th>3</th>\n",
716 " <td>2007-01-25</td>\n",
717 " <td>8763</td>\n",
718 " <td>Allovectin-7</td>\n",
719 " </tr>\n",
720 " <tr>\n",
721 " <th>4</th>\n",
722 " <td>2007-02-09</td>\n",
723 " <td>24415</td>\n",
724 " <td>Xibrom</td>\n",
725 " </tr>\n",
726 " <tr>\n",
727 " <th>5</th>\n",
728 " <td>2007-02-23</td>\n",
729 " <td>24847</td>\n",
730 " <td>Avastin</td>\n",
731 " </tr>\n",
732 " <tr>\n",
733 " <th>6</th>\n",
734 " <td>2007-04-05</td>\n",
735 " <td>3871</td>\n",
736 " <td>ERBITUX (Cetuximab)</td>\n",
737 " </tr>\n",
738 " <tr>\n",
739 " <th>7</th>\n",
740 " <td>2007-04-11</td>\n",
741 " <td>3871</td>\n",
742 " <td>ERBITUX</td>\n",
743 " </tr>\n",
744 " <tr>\n",
745 " <th>8</th>\n",
746 " <td>2007-04-17</td>\n",
747 " <td>3871</td>\n",
748 " <td>ERBITUX (Cetuximab)</td>\n",
749 " </tr>\n",
750 " <tr>\n",
751 " <th>9</th>\n",
752 " <td>2007-04-26</td>\n",
753 " <td>23846</td>\n",
754 " <td>BEMA Fentanyl</td>\n",
755 " </tr>\n",
756 " <tr>\n",
757 " <th>10</th>\n",
758 " <td>2007-04-27</td>\n",
759 " <td>5847</td>\n",
760 " <td>Nuvion</td>\n",
761 " </tr>\n",
762 " </tbody>\n",
763 "</table>"
764 ],
765 "text/plain": [
766 " timestamp sid product_name\n",
767 "0 2007-01-05 8763 Allovectin-7\n",
768 "1 2007-01-09 1416 FENTORA \n",
769 "2 2007-01-11 3871 ERBITUX\n",
770 "3 2007-01-25 8763 Allovectin-7\n",
771 "4 2007-02-09 24415 Xibrom\n",
772 "5 2007-02-23 24847 Avastin\n",
773 "6 2007-04-05 3871 ERBITUX (Cetuximab)\n",
774 "7 2007-04-11 3871 ERBITUX\n",
775 "8 2007-04-17 3871 ERBITUX (Cetuximab) \n",
776 "9 2007-04-26 23846 BEMA Fentanyl\n",
777 "..."
778 ]
779 },
780 "execution_count": 76,
781 "metadata": {},
782 "output_type": "execute_result"
783 }
784 ],
785 "source": [
786 "phase_three = clinical_trials[clinical_trials.clinical_phase == \"Phase III\"][['timestamp', 'sid','product_name']].sort('timestamp')\n",
787 "phase_three"
788 ]
789 },
790 {
791 "cell_type": "code",
792 "execution_count": 77,
793 "metadata": {
794 "collapsed": false
795 },
796 "outputs": [],
797 "source": [
798 "gsk_sid = symbols('GSK').sid\n",
799 "gsk = clinical_trials[clinical_trials.sid == gsk_sid].sort('timestamp', ascending=False)\n",
800 "gsk_df = odo(gsk, pd.DataFrame)\n",
801 "# filter down to the Phase 4 trials\n",
802 "gsk_df = gsk_df[gsk_df.clinical_phase == \"Phase III\"]"
803 ]
804 },
805 {
806 "cell_type": "code",
807 "execution_count": 78,
808 "metadata": {
809 "collapsed": false
810 },
811 "outputs": [
812 {
813 "data": {
814 "text/html": [
815 "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
816 "<table border=\"1\" class=\"dataframe\">\n",
817 " <thead>\n",
818 " <tr style=\"text-align: right;\">\n",
819 " <th></th>\n",
820 " <th>event_id</th>\n",
821 " <th>asof_date</th>\n",
822 " <th>trade_date</th>\n",
823 " <th>symbol</th>\n",
824 " <th>event_type</th>\n",
825 " <th>event_headline</th>\n",
826 " <th>clinical_phase</th>\n",
827 " <th>clinical_scope</th>\n",
828 " <th>clinical_result</th>\n",
829 " <th>product_name</th>\n",
830 " <th>event_rating</th>\n",
831 " <th>timestamp</th>\n",
832 " <th>sid</th>\n",
833 " </tr>\n",
834 " </thead>\n",
835 " <tbody>\n",
836 " <tr>\n",
837 " <th>0</th>\n",
838 " <td>1647384</td>\n",
839 " <td>2013-11-12</td>\n",
840 " <td>2013-11-12</td>\n",
841 " <td>GSK</td>\n",
842 " <td>Clinical Trials</td>\n",
843 " <td>GlaxoSmithKline Announces Phase III Stability ...</td>\n",
844 " <td>Phase III</td>\n",
845 " <td>NaN</td>\n",
846 " <td>Negative</td>\n",
847 " <td>Darapladib</td>\n",
848 " <td>1</td>\n",
849 " <td>2013-11-13</td>\n",
850 " <td>3242</td>\n",
851 " </tr>\n",
852 " </tbody>\n",
853 "</table>\n",
854 "</div>"
855 ],
856 "text/plain": [
857 " event_id asof_date trade_date symbol event_type \\\n",
858 "0 1647384 2013-11-12 2013-11-12 GSK Clinical Trials \n",
859 "\n",
860 " event_headline clinical_phase \\\n",
861 "0 GlaxoSmithKline Announces Phase III Stability ... Phase III \n",
862 "\n",
863 " clinical_scope clinical_result product_name event_rating timestamp sid \n",
864 "0 NaN Negative Darapladib 1 2013-11-13 3242 "
865 ]
866 },
867 "execution_count": 78,
868 "metadata": {},
869 "output_type": "execute_result"
870 }
871 ],
872 "source": [
873 "gsk_df.head(1)"
874 ]
875 },
876 {
877 "cell_type": "code",
878 "execution_count": 79,
879 "metadata": {
880 "collapsed": false
881 },
882 "outputs": [],
883 "source": [
884 "gsk_df.drop(gsk_df.columns[[0, 2, 3, 7, 11, 12]], axis=1, inplace=True)"
885 ]
886 },
887 {
888 "cell_type": "code",
889 "execution_count": 80,
890 "metadata": {
891 "collapsed": false
892 },
893 "outputs": [],
894 "source": [
895 "gsk_df = gsk_df[gsk_df.clinical_result != u'NaN']"
896 ]
897 },
898 {
899 "cell_type": "code",
900 "execution_count": 81,
901 "metadata": {
902 "collapsed": false
903 },
904 "outputs": [
905 {
906 "data": {
907 "text/html": [
908 "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
909 "<table border=\"1\" class=\"dataframe\">\n",
910 " <thead>\n",
911 " <tr style=\"text-align: right;\">\n",
912 " <th></th>\n",
913 " <th>asof_date</th>\n",
914 " <th>event_type</th>\n",
915 " <th>event_headline</th>\n",
916 " <th>clinical_phase</th>\n",
917 " <th>clinical_result</th>\n",
918 " <th>product_name</th>\n",
919 " <th>event_rating</th>\n",
920 " </tr>\n",
921 " </thead>\n",
922 " <tbody>\n",
923 " <tr>\n",
924 " <th>0</th>\n",
925 " <td>2013-11-12</td>\n",
926 " <td>Clinical Trials</td>\n",
927 " <td>GlaxoSmithKline Announces Phase III Stability ...</td>\n",
928 " <td>Phase III</td>\n",
929 " <td>Negative</td>\n",
930 " <td>Darapladib</td>\n",
931 " <td>1</td>\n",
932 " </tr>\n",
933 " <tr>\n",
934 " <th>1</th>\n",
935 " <td>2013-09-05</td>\n",
936 " <td>Clinical Trials</td>\n",
937 " <td>GlaxoSmithKline's MAGE-A3 Vaccine Fails to Mee...</td>\n",
938 " <td>Phase III</td>\n",
939 " <td>Negative</td>\n",
940 " <td>MAGE-A3</td>\n",
941 " <td>1</td>\n",
942 " </tr>\n",
943 " <tr>\n",
944 " <th>2</th>\n",
945 " <td>2012-12-19</td>\n",
946 " <td>Clinical Trials</td>\n",
947 " <td>GlaxoSmithKline, Amicus Therapeutics Announce ...</td>\n",
948 " <td>Phase III</td>\n",
949 " <td>Negative</td>\n",
950 " <td>Migalastat HCl</td>\n",
951 " <td>1</td>\n",
952 " </tr>\n",
953 " <tr>\n",
954 " <th>5</th>\n",
955 " <td>2012-07-11</td>\n",
956 " <td>Clinical Trials</td>\n",
957 " <td>Shionogi-ViiV Healthcare Reports Positive Init...</td>\n",
958 " <td>Phase III</td>\n",
959 " <td>Positive</td>\n",
960 " <td>ING114467</td>\n",
961 " <td>1</td>\n",
962 " </tr>\n",
963 " <tr>\n",
964 " <th>6</th>\n",
965 " <td>2012-07-11</td>\n",
966 " <td>Clinical Trials</td>\n",
967 " <td>GlaxoSmithKline Reports Positive Results in Ph...</td>\n",
968 " <td>Phase III</td>\n",
969 " <td>Positive</td>\n",
970 " <td>Albiglutide</td>\n",
971 " <td>1</td>\n",
972 " </tr>\n",
973 " </tbody>\n",
974 "</table>\n",
975 "</div>"
976 ],
977 "text/plain": [
978 " asof_date event_type \\\n",
979 "0 2013-11-12 Clinical Trials \n",
980 "1 2013-09-05 Clinical Trials \n",
981 "2 2012-12-19 Clinical Trials \n",
982 "5 2012-07-11 Clinical Trials \n",
983 "6 2012-07-11 Clinical Trials \n",
984 "\n",
985 " event_headline clinical_phase \\\n",
986 "0 GlaxoSmithKline Announces Phase III Stability ... Phase III \n",
987 "1 GlaxoSmithKline's MAGE-A3 Vaccine Fails to Mee... Phase III \n",
988 "2 GlaxoSmithKline, Amicus Therapeutics Announce ... Phase III \n",
989 "5 Shionogi-ViiV Healthcare Reports Positive Init... Phase III \n",
990 "6 GlaxoSmithKline Reports Positive Results in Ph... Phase III \n",
991 "\n",
992 " clinical_result product_name event_rating \n",
993 "0 Negative Darapladib 1 \n",
994 "1 Negative MAGE-A3 1 \n",
995 "2 Negative Migalastat HCl 1 \n",
996 "5 Positive ING114467 1 \n",
997 "6 Positive Albiglutide 1 "
998 ]
999 },
1000 "execution_count": 81,
1001 "metadata": {},
1002 "output_type": "execute_result"
1003 }
1004 ],
1005 "source": [
1006 "gsk_df.head()"
1007 ]
1008 },
1009 {
1010 "cell_type": "code",
1011 "execution_count": 82,
1012 "metadata": {
1013 "collapsed": true
1014 },
1015 "outputs": [],
1016 "source": [
1017 "gsk_prices = get_pricing('GSK', fields='price', start_date='2008-01-01', end_date='2014-01-01')"
1018 ]
1019 },
1020 {
1021 "cell_type": "code",
1022 "execution_count": 83,
1023 "metadata": {
1024 "collapsed": false
1025 },
1026 "outputs": [
1027 {
1028 "data": {
1029 "text/plain": [
1030 "<matplotlib.axes._subplots.AxesSubplot at 0x7f4374cbb950>"
1031 ]
1032 },
1033 "execution_count": 83,
1034 "metadata": {},
1035 "output_type": "execute_result"
1036 },
1037 {
1038 "data": {
1039 "image/png": 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APrdyCNHjrIcjkZTQ2h3SbTNmXMY3BFBTqazY2tUXAREREREVl5pxcZb9+j4Z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\nVwMHDjS7NNxDZ8+e1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1040 "text/plain": [
1041 "<matplotlib.figure.Figure at 0x7f4374bee350>"
1042 ]
1043 },
1044 "metadata": {},
1045 "output_type": "display_data"
1046 }
1047 ],
1048 "source": [
1049 "gsk_prices.plot()"
1050 ]
1051 }
1052 ],
1053 "metadata": {
1054 "kernelspec": {
1055 "display_name": "Python 2",
1056 "language": "python",
1057 "name": "python2"
1058 },
1059 "language_info": {
1060 "codemirror_mode": {
1061 "name": "ipython",
1062 "version": 2
1063 },
1064 "file_extension": ".py",
1065 "mimetype": "text/x-python",
1066 "name": "python",
1067 "nbconvert_exporter": "python",
1068 "pygments_lexer": "ipython2",
1069 "version": "2.7.10"
1070 }
1071 },
1072 "nbformat": 4,
1073 "nbformat_minor": 0
1074 }