ml-finance-python
python scripts for finance machine learning
git clone https://9o.is/git/ml-finance-python.git
notebook.ipynb
(1055265B)
1 {
2 "cells": [
3 {
4 "cell_type": "markdown",
5 "metadata": {},
6 "source": [
7 "# Market Impact Models\n",
8 "\n",
9 "By Dr. Michele Goe\n",
10 "\n",
11 "Part of the Quantopian Lecture Series:\n",
12 "* https://www.quantopian.com/lectures\n",
13 "* https://github.com/quantopian/research_public\n",
14 "---\n",
15 "\n",
16 "In this lecture we seek to clarify transaction costs and how they impact algorithm performance. By the end of this lecture you should be able to:\n",
17 "1. Understand the attributes that influence transaction costs based on published market impact model research and our own experience\n",
18 "2. Understand the impact of turnover rate, transaction costs, and leverage on your strategy performance\n",
19 "3. Become familiar with how institutional quant trading teams think about and measure transaction cost."
20 ]
21 },
22 {
23 "cell_type": "code",
24 "execution_count": 1,
25 "metadata": {
26 "collapsed": true
27 },
28 "outputs": [],
29 "source": [
30 "import numpy as np\n",
31 "import matplotlib.pyplot as plt\n",
32 "import pandas as pd\n",
33 "import time"
34 ]
35 },
36 {
37 "cell_type": "markdown",
38 "metadata": {},
39 "source": [
40 "## Intro to Transaction Costs\n",
41 "\n",
42 "\n",
43 "Transaction costs fall into two categories\n",
44 "* Direct (commissions and fees): explicit, easily measured, and in institutional trading, relatively \"small\"\n",
45 "* Indirect (market impact and spread costs): **the purpose of this lecture**\n",
46 "\n",
47 "Slippage is when the price 'slips' before the trade is fully executed, leading to the fill price being different from the price at the time of the order.\n",
48 "The attributes of a trade that our research shows have the most influence on slippage are:\n",
49 "1. **Volatility**\n",
50 "2. **Liquidity**\n",
51 "3. **Relative order size**\n",
52 "4. **Bid - ask spread**"
53 ]
54 },
55 {
56 "cell_type": "markdown",
57 "metadata": {},
58 "source": [
59 "## Transaction Cost Impact on Portfolio Performance\n",
60 "\n",
61 "Let’s consider a hypothetical mid-frequency statistical arbitrage\\* portfolio :\n",
62 "\n",
63 "Algo Attribute| Qty \n",
64 "---|----\n",
65 "Holding Period (weeks) |1 \n",
66 "Leverage | 2 \n",
67 "AUM (million) | 100 \n",
68 "Trading Days per year | 252\n",
69 "Fraction of AUM traded per day | 0.4\n",
70 "\n",
71 "\n",
72 "This means we trade in and out of a new portfolio roughly 50 times a year. At 2 times leverage, on 100 million in AUM, we trade 20 billion dollars per year. \n",
73 "\n",
74 "**Q: For this level of churn what is the impact of 1 bps of execution cost to the fund’s returns?**\n",
75 "\n",
76 "This means for every basis point ($0.01\\%$) of transaction cost we lose $2\\%$ off algo performance. \n",
77 "\n",
78 "\\* To clarify, a mid-freqency strategy refers roughly to a daily turnover between $0.05$ - $0.67$. This represents a holding period between a day and a week. Statistical arbitrage refers to the use computational algorithms to simultaneously buy and sell stocks according to a statistical model. "
79 ]
80 },
81 {
82 "cell_type": "code",
83 "execution_count": 2,
84 "metadata": {
85 "collapsed": false
86 },
87 "outputs": [],
88 "source": [
89 "def perf_impact(leverage, turnover , trading_days, txn_cost_bps):\n",
90 " p = leverage * turnover * trading_days * txn_cost_bps/10000.\n",
91 " return p"
92 ]
93 },
94 {
95 "cell_type": "code",
96 "execution_count": 3,
97 "metadata": {
98 "collapsed": false
99 },
100 "outputs": [
101 {
102 "name": "stdout",
103 "output_type": "stream",
104 "text": [
105 "0.02016\n"
106 ]
107 }
108 ],
109 "source": [
110 "print perf_impact(leverage=2, turnover=0.4, trading_days=252, txn_cost_bps=1)"
111 ]
112 },
113 {
114 "cell_type": "markdown",
115 "metadata": {},
116 "source": [
117 "## How do institutional quant trading teams evaluate transaction cost ?\n",
118 "\n",
119 "Quantitiative institutional trading teams typically utilize execution tactics that aim to complete parent orders fully, while minimizing the cost of execution. To achieve this goal, parent orders are often split into a number of child orders, which are routed to different execution venues, with the goal to capture all the available liquidity and minimize the bid-ask spread. The parent-level execution price can be expressed as the volume-weighted average price of all child orders.\n",
120 "\n",
121 "**Q: What benchmark(s) should we compare our execution price to ?**\n",
122 "\n",
123 "*Quantopian Trading Team Benchmarks :*\n",
124 "* **Arrival Price** - the \"decision\" price of the algo, defined as the mid-quote at the time the algo placed the parent order (mid is the half-way point between the best bid and ask quotes)\n",
125 "* **Interval VWAP** - volume-weighted average price during the life of the order\n",
126 "* **T + 10 min** - reversion benchmark, price 10 min after the last fill vs execution price\n",
127 "* **T + 30 min** - reversion benchmark, price 30 min after the last fill vs execution price\n",
128 "* **Close** - reversion benchmark, price at close vs the execution price\n",
129 "* **Open** - momentum benchmark, price at open vs the execution price\n",
130 "* **Previous close** - momentum benchmark, price at previous close vs execution price\n",
131 "*Other metrics and definitions\n",
132 "\n",
133 "\n",
134 "$$ Metric = \\frac{Side * (Benchmark - Execution\\thinspace Price )* 100 * 100}{ Benchmark }$$\n",
135 "\n",
136 "*Key Ideas*\n",
137 "* **Execution Price** - volume-weighted average price of all fills or child orders\n",
138 "* **Cost vs Arrival Price** - difference between the arrival price and the execution price, expressed in basis points. The idea with this benchmark is to compare the execution price against the decision price of the strategy. This cost is sometimes called \"slippage\" or \"implementation shortfall.\"\n",
139 "\n",
140 "The reversion metrics give us an indication of our temporary impact after the order has been executed. Generally, we'd expect the stock price to revert a bit, upon our order completion, as our contribution to the buy-sell imbalance is reflected in the market. The momentum metrics give us an indication of the direction of price drift prior to execution. Often, trading with significant momentum can affect our ability to minimize the bid-ask spread costs.\n",
141 "\n",
142 "When executing an order, one of the primary tradeoffs to consider is timing risk vs. market impact:\n",
143 "* **Timing Risk** - risk of price drift and information leakage as interval between arrival mid quote and last fill increases.\n",
144 "* **Market Impact** - (high urgency) risk of moving the market by shortening the interval between arrival mid quote and last fill.\n",
145 "\n",
146 "Within this framework, neutral urgency of execution occurs at the intersection of market risk and market impact - in this case, each contributes the same to execution costs. "
147 ]
148 },
149 {
150 "cell_type": "code",
151 "execution_count": 4,
152 "metadata": {
153 "collapsed": false
154 },
155 "outputs": [
156 {
157 "data": {
158 "image/png": "iVBORw0KGgoAAAANSUhEUgAAAzUAAAH2CAYAAABJD6LfAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
159 "text/plain": [
160 "<matplotlib.figure.Figure at 0x7f96b1cfff10>"
161 ]
162 },
163 "metadata": {},
164 "output_type": "display_data"
165 }
166 ],
167 "source": [
168 "x = np.linspace(0,1,101)\n",
169 "risk = np.cos(x*np.pi)\n",
170 "impact = np.cos(x* np.pi+ np.pi)\n",
171 "\n",
172 "fig,ax = plt.subplots(1)\n",
173 "# Make your plot, set your axes labels\n",
174 "ax.plot(x,risk)\n",
175 "ax.plot(x,impact)\n",
176 "ax.set_ylabel('Transaction Cost in bps', fontsize=15)\n",
177 "ax.set_xlabel('Order Interval', fontsize=15)\n",
178 "ax.set_yticklabels([])\n",
179 "ax.set_xticklabels([])\n",
180 "ax.grid(False)\n",
181 "ax.text(0.09, -0.6, 'Timing Risk', fontsize=15, fontname=\"serif\")\n",
182 "ax.text(0.08, 0.6, 'Market Impact', fontsize=15, fontname=\"serif\")\n",
183 "plt.title('Timing Risk vs Market Impact Affect on Transaction Cost', fontsize=15)\n",
184 "plt.show()"
185 ]
186 },
187 {
188 "cell_type": "markdown",
189 "metadata": {},
190 "source": [
191 "## **Liquidity**\n",
192 "\n",
193 "Liquidity can be viewed through several lenses. Within the context of execution management, we can think of it as activity, measured in shares and USD traded, as well as frequency and size of trades executed in the market. \"Good\" liquidity is also achieved through a diverse number of market participants on both sides of the market.\n",
194 "\n",
195 "Assess Liquidity by: \n",
196 "* intraday volume curve \n",
197 "* percent of day's volume \n",
198 "* percent of average daily dollar volume in an interval\n",
199 "* cummulative intraday volume curve\n",
200 "* relative order size\n",
201 "\n",
202 "In general, liquidity is highest as we approach the close, and second highest at the open. Mid day has the lowest liquidity. Liquidity should also be viewed relative to your order size and other securities in the same sector and class. "
203 ]
204 },
205 {
206 "cell_type": "code",
207 "execution_count": 5,
208 "metadata": {
209 "collapsed": false
210 },
211 "outputs": [
212 {
213 "name": "stdout",
214 "output_type": "stream",
215 "text": [
216 "Time: 0.31 seconds.\n"
217 ]
218 },
219 {
220 "data": {
221 "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0QAAAHSCAYAAADMuQtZAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ne/a+SmrjpqsAAAAASUVORK5CYII=\n",
222 "text/plain": [
223 "<matplotlib.figure.Figure at 0x7f96975e0910>"
224 ]
225 },
226 "metadata": {},
227 "output_type": "display_data"
228 }
229 ],
230 "source": [
231 "tickers = symbols(['FB']) # Facebook ticker\n",
232 "num_stocks = len(tickers)\n",
233 "\n",
234 "# %%timeit -n1 -r1 magic is not allowed in Q\n",
235 "start = time.time()\n",
236 "data = get_pricing(tickers,\n",
237 " fields='volume',\n",
238 " frequency='minute',\n",
239 " start_date='2016-1-1',\n",
240 " end_date='2016-7-1')\n",
241 "end = time.time()\n",
242 "print \"Time: %0.2f seconds.\" % (end - start)\n",
243 "data = data.tz_convert('US/Eastern') # Q data comes in as UTC\n",
244 "\n",
245 "dat = data[symbols('FB')]\n",
246 "plt.subplot(211)\n",
247 "dat['2016-04-14'].plot(title='Intraday Volume Profile') # intraday volume profile plot \n",
248 "plt.subplot(212)\n",
249 "(dat['2016-04-14'].resample('10t', closed='right').sum()/\\\n",
250 " dat['2016-04-14'].sum()).plot(); # percent volume plot\n",
251 "plt.title('Intraday Volume Profile, % Total Day');"
252 ]
253 },
254 {
255 "cell_type": "code",
256 "execution_count": 6,
257 "metadata": {
258 "collapsed": false
259 },
260 "outputs": [
261 {
262 "data": {
263 "text/html": [
264 "<div>\n",
265 "<table border=\"1\" class=\"dataframe\">\n",
266 " <thead>\n",
267 " <tr style=\"text-align: right;\">\n",
268 " <th></th>\n",
269 " <th>interval_vlm</th>\n",
270 " <th>time</th>\n",
271 " <th>min_of_day</th>\n",
272 " <th>day</th>\n",
273 " <th>day_vlm</th>\n",
274 " <th>interval_pct</th>\n",
275 " </tr>\n",
276 " </thead>\n",
277 " <tbody>\n",
278 " <tr>\n",
279 " <th>0</th>\n",
280 " <td>2553931.0</td>\n",
281 " <td>09:40:00</td>\n",
282 " <td>10.0</td>\n",
283 " <td>2016-01-04</td>\n",
284 " <td>31872469.0</td>\n",
285 " <td>0.080130</td>\n",
286 " </tr>\n",
287 " <tr>\n",
288 " <th>1</th>\n",
289 " <td>2246748.0</td>\n",
290 " <td>09:50:00</td>\n",
291 " <td>20.0</td>\n",
292 " <td>2016-01-04</td>\n",
293 " <td>31872469.0</td>\n",
294 " <td>0.070492</td>\n",
295 " </tr>\n",
296 " <tr>\n",
297 " <th>2</th>\n",
298 " <td>1518230.0</td>\n",
299 " <td>10:00:00</td>\n",
300 " <td>30.0</td>\n",
301 " <td>2016-01-04</td>\n",
302 " <td>31872469.0</td>\n",
303 " <td>0.047635</td>\n",
304 " </tr>\n",
305 " <tr>\n",
306 " <th>3</th>\n",
307 " <td>1599570.0</td>\n",
308 " <td>10:10:00</td>\n",
309 " <td>40.0</td>\n",
310 " <td>2016-01-04</td>\n",
311 " <td>31872469.0</td>\n",
312 " <td>0.050187</td>\n",
313 " </tr>\n",
314 " <tr>\n",
315 " <th>4</th>\n",
316 " <td>1909115.0</td>\n",
317 " <td>10:20:00</td>\n",
318 " <td>50.0</td>\n",
319 " <td>2016-01-04</td>\n",
320 " <td>31872469.0</td>\n",
321 " <td>0.059899</td>\n",
322 " </tr>\n",
323 " </tbody>\n",
324 "</table>\n",
325 "</div>"
326 ],
327 "text/plain": [
328 " interval_vlm time min_of_day day day_vlm interval_pct\n",
329 "0 2553931.0 09:40:00 10.0 2016-01-04 31872469.0 0.080130\n",
330 "1 2246748.0 09:50:00 20.0 2016-01-04 31872469.0 0.070492\n",
331 "2 1518230.0 10:00:00 30.0 2016-01-04 31872469.0 0.047635\n",
332 "3 1599570.0 10:10:00 40.0 2016-01-04 31872469.0 0.050187\n",
333 "4 1909115.0 10:20:00 50.0 2016-01-04 31872469.0 0.059899"
334 ]
335 },
336 "execution_count": 6,
337 "metadata": {},
338 "output_type": "execute_result"
339 }
340 ],
341 "source": [
342 "df = pd.DataFrame(dat) # Facebook minutely volume data\n",
343 "\n",
344 "df.columns = ['interval_vlm'] \n",
345 "\n",
346 "df_daysum = df.resample('d').sum() # take sum of each day \n",
347 "df_daysum.columns = ['day_vlm']\n",
348 "df_daysum['day'] = df_daysum.index.date # add date index as column\n",
349 "\n",
350 "df['min_of_day']=(df.index.hour-9)*60 + (df.index.minute-30) # calculate minutes from open\n",
351 "df['time']=df.index.time # add time index as column\n",
352 "\n",
353 "conversion = {'interval_vlm':'sum', 'min_of_day':'last', 'time':'last'}\n",
354 "df = df.resample('10t', closed='right').apply(conversion) # apply conversions to columns at 10 min intervals\n",
355 "df['day'] = df.index.date\n",
356 "\n",
357 "df = df.merge(df_daysum, how='left', on='day') # merge df and df_daysum dataframes\n",
358 "df['interval_pct'] = df['interval_vlm'] / df['day_vlm'] # calculate percent of days volume for each row\n",
359 "df.head()"
360 ]
361 },
362 {
363 "cell_type": "code",
364 "execution_count": 7,
365 "metadata": {
366 "collapsed": false
367 },
368 "outputs": [
369 {
370 "data": {
371 "text/plain": [
372 "<matplotlib.text.Text at 0x7f9698127210>"
373 ]
374 },
375 "execution_count": 7,
376 "metadata": {},
377 "output_type": "execute_result"
378 },
379 {
380 "data": {
381 "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1MAAAHxCAYAAACI8+ZQAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
382 "text/plain": [
383 "<matplotlib.figure.Figure at 0x7f96b21b3490>"
384 ]
385 },
386 "metadata": {},
387 "output_type": "display_data"
388 }
389 ],
390 "source": [
391 "plt.scatter(df.min_of_day, df.interval_pct)\n",
392 "plt.xlim(0,400)\n",
393 "plt.xlabel('Time from the Open (minutes)')\n",
394 "plt.ylabel('Percent Days Volume')"
395 ]
396 },
397 {
398 "cell_type": "code",
399 "execution_count": 8,
400 "metadata": {
401 "collapsed": false
402 },
403 "outputs": [
404 {
405 "data": {
406 "image/png": "iVBORw0KGgoAAAANSUhEUgAAA2MAAAH6CAYAAACKx5SrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nNOBgAAAAAElFTkSuQmCC\n",
407 "text/plain": [
408 "<matplotlib.figure.Figure at 0x7f96b2482550>"
409 ]
410 },
411 "metadata": {},
412 "output_type": "display_data"
413 }
414 ],
415 "source": [
416 "grouped = df.groupby(df.min_of_day)\n",
417 "grouped = df.groupby(df.time) # group by 10 minute interval times\n",
418 "m = grouped.median() # get median values of groupby\n",
419 "x = m.index\n",
420 "y = m['interval_pct']\n",
421 "\n",
422 "fig, ax1 = plt.subplots();\n",
423 "ax1.bar(x, 100*y, -60*10 ,alpha=0.75); # plot percent daily volume grouped by 10 minute interval times\n",
424 "ax1.set_ylim(0,10);\n",
425 "ax2 = ax1.twinx();\n",
426 "ax2.plot(x,(100*y).cumsum()); # plot cummulative distribution of median daily volume\n",
427 "ax2.set_ylim(0,100);\n",
428 "plt.title('Intraday Volume Profile');\n",
429 "ax1.set_ylabel('% of Day\\'s Volume in Bucket');\n",
430 "ax2.set_ylabel('Cumulative % of Day\\'s Volume');\n"
431 ]
432 },
433 {
434 "cell_type": "markdown",
435 "metadata": {},
436 "source": [
437 "## Relative Order Size\n",
438 "\n",
439 "As we increase relative order size at a specified participation rate, the time to complete the order increases. Let's assume we execute an order using VWAP, a scheduling strategy, which executes orders over a pre-specified time window, according to the projections of volume distribution throughout that time window: At 3% participation rate for VWAP execution, we require the entire day to trade if our order represents 3% of average daily volume.\n",
440 "\n",
441 "If we expect our algo to have high relative order sizes then we may want to switch to liquidity management execution strategy when trading to ensure order completion by the end of the day. Liquidity management execution strategies have specific constraints for the urgency of execution, choice of execution venues and spread capture with the objective of order completion. Going back to our risk curves, we expect higher transaction costs the longer we trade. Therefore, the higher percent ADV of an order the more expensive to trade. "
442 ]
443 },
444 {
445 "cell_type": "code",
446 "execution_count": 9,
447 "metadata": {
448 "collapsed": false
449 },
450 "outputs": [
451 {
452 "data": {
453 "text/plain": [
454 "<matplotlib.legend.Legend at 0x7f968ca6c550>"
455 ]
456 },
457 "execution_count": 9,
458 "metadata": {},
459 "output_type": "execute_result"
460 },
461 {
462 "data": {
463 "image/png": "iVBORw0KGgoAAAANSUhEUgAAA08AAAH6CAYAAADfpnf1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
464 "text/plain": [
465 "<matplotlib.figure.Figure at 0x7f96981b2990>"
466 ]
467 },
468 "metadata": {},
469 "output_type": "display_data"
470 }
471 ],
472 "source": [
473 "\n",
474 "dat = get_pricing(symbols(['FB']), fields='volume', frequency='minute', start_date='2016-1-1', end_date='2018-1-2')\n",
475 "dat = dat.tz_convert('US/Eastern') # Q data comes in as UTC\n",
476 "\n",
477 "\n",
478 "def relative_order_size(participation_rate, pct_ADV):\n",
479 " fill_start = dat['2017-10-02'].index[0] # start order at 9:31\n",
480 " ADV20 = int(dat.resample(\"1d\").sum()[-20:].mean()) # calculate 20 day ADV\n",
481 " order_size = int(pct_ADV * ADV20)\n",
482 " #print 'order size:', order_size, 'daily volume:', dat['2016-07-01'].sum()/(1.0*10**6), 'M shares'\n",
483 " try :\n",
484 " ftime = dat['2017-10-02'][(order_size * 1.0 / participation_rate)<=dat['2017-10-02'].cumsum().values].index[0]\n",
485 " except: \n",
486 " ftime = dat['2017-10-02'].index[-1] # set fill time to 4p \n",
487 " fill_time = max(1,int((ftime - fill_start).total_seconds()/60.0))\n",
488 " #print 'order fill time' ,fill_time, 'minutes'\n",
489 " return fill_time\n",
490 "\n",
491 "def create_plots(participation_rate, ax):\n",
492 " df_pr = pd.DataFrame(data=np.linspace(0.0,0.1,100), columns = ['adv'] ) # create dataframe with intervals of ADV\n",
493 " df_pr['pr'] = participation_rate # add participation rate column\n",
494 "\n",
495 " df_pr['fill_time'] = df_pr.apply(lambda row: relative_order_size(row['pr'],row['adv']), axis = 1) # get fill time\n",
496 "\n",
497 " ax.plot(df_pr['adv'],df_pr['fill_time'], label=participation_rate) # generate plot line with ADV and fill time\n",
498 "\n",
499 "fig, ax = plt.subplots() \n",
500 "for i in [0.01,0.02,0.03,0.04,0.05,0.06,0.07]: # for participation rate values\n",
501 " create_plots(i,ax) # generate plot line\n",
502 " \n",
503 "plt.ylabel('Time from Open (minutes)')\n",
504 "plt.xlabel('Percent Average Daily Volume')\n",
505 "plt.title('Trade Completion Time as Function of Relative Order Size and Participation Rate')\n",
506 "plt.xlim(0.,0.04)\n",
507 "ax.legend()\n"
508 ]
509 },
510 {
511 "cell_type": "markdown",
512 "metadata": {},
513 "source": [
514 "\n",
515 "## Volatility\n",
516 "\n",
517 "Volatilty is a statistical measure of dispersion of returns for a security. Calculated as the standard deviation of returns. The volatility of any given stock typically peaks at the open and therafter decreases until mid-day.The higher the volatility the more uncertainty in the returns. This uncertainty is an artifact of larger bid-ask spreads during the price discovery process at the start of the trading day. In contrast to liquidity, where we would prefer to trade at the open to take advantage of high volumes, to take advantage of low volatility we would trade at the close.\n",
518 "\n",
519 "We use two methods to calculate volatility for demonstration purposes, OHLC and, the most common, close-to-close. OHLC uses the Garman-Klass Yang-Zhang volatilty estimate that employs open, high, low, and close data. \n",
520 "\n",
521 "OHLC VOLATILITY ESTIMATION METHOD \n",
522 "\n",
523 "$$\\sigma^2 = \\frac{Z}{n} \\sum \\left[\\left(\\ln \\frac{O_i}{C_{i-1}} \\right)^2 + \\frac{1}{2} \\left( \\ln \\frac{H_i}{L_i} \\right)^2 - (2 \\ln 2 -1) \\left( \\ln \\frac{C_i}{O_i} \\right)^2 \\right]$$\n",
524 "\n",
525 "\n",
526 "\n",
527 "CLOSE TO CLOSE HISTORICAL VOLATILITY ESTIMATION METHOD\n",
528 "\n",
529 "Volatility is calculated as the annualised standard deviation of log returns as detailed in the equation below.\n",
530 "\n",
531 "$$ Log \\thinspace return = x_1 = \\ln (\\frac{c_i + d_i}{c_i-1} ) $$\n",
532 " where d_i = ordinary(not adjusted) dividend and ci is close price\n",
533 " $$ Volatilty = \\sigma_x \\sqrt{ \\frac{1}{N} \\sum_{i=1}^{N} (x_i - \\bar{x})^2 }$$\n",
534 "\n",
535 "See end of notebook for references"
536 ]
537 },
538 {
539 "cell_type": "code",
540 "execution_count": 10,
541 "metadata": {
542 "collapsed": false
543 },
544 "outputs": [
545 {
546 "name": "stdout",
547 "output_type": "stream",
548 "text": [
549 "Time: 0.15 seconds.\n"
550 ]
551 },
552 {
553 "data": {
554 "text/html": [
555 "<div>\n",
556 "<table border=\"1\" class=\"dataframe\">\n",
557 " <thead>\n",
558 " <tr style=\"text-align: right;\">\n",
559 " <th></th>\n",
560 " <th>open_price</th>\n",
561 " <th>high</th>\n",
562 " <th>low</th>\n",
563 " <th>close_price</th>\n",
564 " <th>volume</th>\n",
565 " <th>price</th>\n",
566 " </tr>\n",
567 " </thead>\n",
568 " <tbody>\n",
569 " <tr>\n",
570 " <th>2016-01-04 09:31:00-05:00</th>\n",
571 " <td>101.950</td>\n",
572 " <td>102.07</td>\n",
573 " <td>101.72</td>\n",
574 " <td>101.830</td>\n",
575 " <td>804756.0</td>\n",
576 " <td>101.830</td>\n",
577 " </tr>\n",
578 " <tr>\n",
579 " <th>2016-01-04 09:32:00-05:00</th>\n",
580 " <td>101.810</td>\n",
581 " <td>101.94</td>\n",
582 " <td>101.60</td>\n",
583 " <td>101.864</td>\n",
584 " <td>231895.0</td>\n",
585 " <td>101.864</td>\n",
586 " </tr>\n",
587 " <tr>\n",
588 " <th>2016-01-04 09:33:00-05:00</th>\n",
589 " <td>101.865</td>\n",
590 " <td>102.24</td>\n",
591 " <td>101.84</td>\n",
592 " <td>102.160</td>\n",
593 " <td>222334.0</td>\n",
594 " <td>102.160</td>\n",
595 " </tr>\n",
596 " <tr>\n",
597 " <th>2016-01-04 09:34:00-05:00</th>\n",
598 " <td>102.160</td>\n",
599 " <td>102.23</td>\n",
600 " <td>101.96</td>\n",
601 " <td>102.180</td>\n",
602 " <td>161446.0</td>\n",
603 " <td>102.180</td>\n",
604 " </tr>\n",
605 " <tr>\n",
606 " <th>2016-01-04 09:35:00-05:00</th>\n",
607 " <td>102.160</td>\n",
608 " <td>102.19</td>\n",
609 " <td>101.94</td>\n",
610 " <td>101.960</td>\n",
611 " <td>210727.0</td>\n",
612 " <td>101.960</td>\n",
613 " </tr>\n",
614 " </tbody>\n",
615 "</table>\n",
616 "</div>"
617 ],
618 "text/plain": [
619 " open_price high low close_price volume \\\n",
620 "2016-01-04 09:31:00-05:00 101.950 102.07 101.72 101.830 804756.0 \n",
621 "2016-01-04 09:32:00-05:00 101.810 101.94 101.60 101.864 231895.0 \n",
622 "2016-01-04 09:33:00-05:00 101.865 102.24 101.84 102.160 222334.0 \n",
623 "2016-01-04 09:34:00-05:00 102.160 102.23 101.96 102.180 161446.0 \n",
624 "2016-01-04 09:35:00-05:00 102.160 102.19 101.94 101.960 210727.0 \n",
625 "\n",
626 " price \n",
627 "2016-01-04 09:31:00-05:00 101.830 \n",
628 "2016-01-04 09:32:00-05:00 101.864 \n",
629 "2016-01-04 09:33:00-05:00 102.160 \n",
630 "2016-01-04 09:34:00-05:00 102.180 \n",
631 "2016-01-04 09:35:00-05:00 101.960 "
632 ]
633 },
634 "execution_count": 10,
635 "metadata": {},
636 "output_type": "execute_result"
637 }
638 ],
639 "source": [
640 "tickers = symbols(['FB'])\n",
641 "start = time.time()\n",
642 "data = get_pricing(tickers, frequency='minute', start_date='2016-1-1', end_date='2016-7-1')\n",
643 "end = time.time()\n",
644 "print \"Time: %0.2f seconds.\" % (end - start)\n",
645 "\n",
646 "data.items\n",
647 "data.describe\n",
648 "data['price']\n",
649 "df = data.to_frame().unstack()\n",
650 "df.columns = df.columns.droplevel(1) # drop the ticker\n",
651 "df.index.name = None \n",
652 "df = df.tz_convert('US/Eastern') # Q data comes in as UTC, convert to EST\n",
653 "df.head()\n"
654 ]
655 },
656 {
657 "cell_type": "code",
658 "execution_count": 11,
659 "metadata": {
660 "collapsed": false
661 },
662 "outputs": [],
663 "source": [
664 "def gkyz_var(open, high, low, close, close_tm1): # Garman Klass Yang Zhang extension OHLC volatility estimate\n",
665 " return np.log(open/close_tm1)**2 + 0.5*(np.log(high/low)**2) \\\n",
666 " - (2*np.log(2)-1)*(np.log(close/open)**2)\n",
667 " \n",
668 "def historical_vol(close_ret, mean_ret): # close to close volatility estimate\n",
669 " return np.sqrt(np.sum((close_ret-mean_ret)**2)/390)"
670 ]
671 },
672 {
673 "cell_type": "code",
674 "execution_count": 12,
675 "metadata": {
676 "collapsed": false,
677 "scrolled": true
678 },
679 "outputs": [
680 {
681 "data": {
682 "text/html": [
683 "<div>\n",
684 "<table border=\"1\" class=\"dataframe\">\n",
685 " <thead>\n",
686 " <tr style=\"text-align: right;\">\n",
687 " <th></th>\n",
688 " <th>open_price</th>\n",
689 " <th>high</th>\n",
690 " <th>low</th>\n",
691 " <th>close_price</th>\n",
692 " <th>volume</th>\n",
693 " <th>price</th>\n",
694 " <th>min_of_day</th>\n",
695 " <th>time</th>\n",
696 " <th>day</th>\n",
697 " </tr>\n",
698 " </thead>\n",
699 " <tbody>\n",
700 " <tr>\n",
701 " <th>2016-01-04 09:31:00-05:00</th>\n",
702 " <td>101.950</td>\n",
703 " <td>102.07</td>\n",
704 " <td>101.72</td>\n",
705 " <td>101.830</td>\n",
706 " <td>804756.0</td>\n",
707 " <td>101.830</td>\n",
708 " <td>1</td>\n",
709 " <td>09:31:00</td>\n",
710 " <td>2016-01-04</td>\n",
711 " </tr>\n",
712 " <tr>\n",
713 " <th>2016-01-04 09:32:00-05:00</th>\n",
714 " <td>101.810</td>\n",
715 " <td>101.94</td>\n",
716 " <td>101.60</td>\n",
717 " <td>101.864</td>\n",
718 " <td>231895.0</td>\n",
719 " <td>101.864</td>\n",
720 " <td>2</td>\n",
721 " <td>09:32:00</td>\n",
722 " <td>2016-01-04</td>\n",
723 " </tr>\n",
724 " <tr>\n",
725 " <th>2016-01-04 09:33:00-05:00</th>\n",
726 " <td>101.865</td>\n",
727 " <td>102.24</td>\n",
728 " <td>101.84</td>\n",
729 " <td>102.160</td>\n",
730 " <td>222334.0</td>\n",
731 " <td>102.160</td>\n",
732 " <td>3</td>\n",
733 " <td>09:33:00</td>\n",
734 " <td>2016-01-04</td>\n",
735 " </tr>\n",
736 " <tr>\n",
737 " <th>2016-01-04 09:34:00-05:00</th>\n",
738 " <td>102.160</td>\n",
739 " <td>102.23</td>\n",
740 " <td>101.96</td>\n",
741 " <td>102.180</td>\n",
742 " <td>161446.0</td>\n",
743 " <td>102.180</td>\n",
744 " <td>4</td>\n",
745 " <td>09:34:00</td>\n",
746 " <td>2016-01-04</td>\n",
747 " </tr>\n",
748 " <tr>\n",
749 " <th>2016-01-04 09:35:00-05:00</th>\n",
750 " <td>102.160</td>\n",
751 " <td>102.19</td>\n",
752 " <td>101.94</td>\n",
753 " <td>101.960</td>\n",
754 " <td>210727.0</td>\n",
755 " <td>101.960</td>\n",
756 " <td>5</td>\n",
757 " <td>09:35:00</td>\n",
758 " <td>2016-01-04</td>\n",
759 " </tr>\n",
760 " </tbody>\n",
761 "</table>\n",
762 "</div>"
763 ],
764 "text/plain": [
765 " open_price high low close_price volume \\\n",
766 "2016-01-04 09:31:00-05:00 101.950 102.07 101.72 101.830 804756.0 \n",
767 "2016-01-04 09:32:00-05:00 101.810 101.94 101.60 101.864 231895.0 \n",
768 "2016-01-04 09:33:00-05:00 101.865 102.24 101.84 102.160 222334.0 \n",
769 "2016-01-04 09:34:00-05:00 102.160 102.23 101.96 102.180 161446.0 \n",
770 "2016-01-04 09:35:00-05:00 102.160 102.19 101.94 101.960 210727.0 \n",
771 "\n",
772 " price min_of_day time day \n",
773 "2016-01-04 09:31:00-05:00 101.830 1 09:31:00 2016-01-04 \n",
774 "2016-01-04 09:32:00-05:00 101.864 2 09:32:00 2016-01-04 \n",
775 "2016-01-04 09:33:00-05:00 102.160 3 09:33:00 2016-01-04 \n",
776 "2016-01-04 09:34:00-05:00 102.180 4 09:34:00 2016-01-04 \n",
777 "2016-01-04 09:35:00-05:00 101.960 5 09:35:00 2016-01-04 "
778 ]
779 },
780 "execution_count": 12,
781 "metadata": {},
782 "output_type": "execute_result"
783 }
784 ],
785 "source": [
786 "df['min_of_day'] = (df.index.hour-9)*60 + (df.index.minute-30) # calculate minute from the open\n",
787 "df['time'] = df.index.time # add column time index\n",
788 "df['day'] = df.index.date # add column date index\n",
789 "df.head()"
790 ]
791 },
792 {
793 "cell_type": "code",
794 "execution_count": 13,
795 "metadata": {
796 "collapsed": false
797 },
798 "outputs": [
799 {
800 "data": {
801 "text/html": [
802 "<div>\n",
803 "<table border=\"1\" class=\"dataframe\">\n",
804 " <thead>\n",
805 " <tr style=\"text-align: right;\">\n",
806 " <th></th>\n",
807 " <th>open_price</th>\n",
808 " <th>high</th>\n",
809 " <th>low</th>\n",
810 " <th>close_price</th>\n",
811 " <th>volume</th>\n",
812 " <th>price</th>\n",
813 " <th>min_of_day</th>\n",
814 " <th>time</th>\n",
815 " <th>day</th>\n",
816 " <th>close_tm1</th>\n",
817 " <th>min_close_ret_x</th>\n",
818 " <th>min_close_ret_y</th>\n",
819 " <th>variance</th>\n",
820 " </tr>\n",
821 " </thead>\n",
822 " <tbody>\n",
823 " <tr>\n",
824 " <th>2016-01-04 09:31:00-05:00</th>\n",
825 " <td>101.950</td>\n",
826 " <td>102.07</td>\n",
827 " <td>101.72</td>\n",
828 " <td>101.830</td>\n",
829 " <td>804756.0</td>\n",
830 " <td>101.830</td>\n",
831 " <td>1</td>\n",
832 " <td>09:31:00</td>\n",
833 " <td>2016-01-04</td>\n",
834 " <td>101.950</td>\n",
835 " <td>-0.001178</td>\n",
836 " <td>0.000006</td>\n",
837 " <td>0.000060</td>\n",
838 " </tr>\n",
839 " <tr>\n",
840 " <th>2016-01-04 09:32:00-05:00</th>\n",
841 " <td>101.810</td>\n",
842 " <td>101.94</td>\n",
843 " <td>101.60</td>\n",
844 " <td>101.864</td>\n",
845 " <td>231895.0</td>\n",
846 " <td>101.864</td>\n",
847 " <td>2</td>\n",
848 " <td>09:32:00</td>\n",
849 " <td>2016-01-04</td>\n",
850 " <td>101.830</td>\n",
851 " <td>0.000334</td>\n",
852 " <td>0.000006</td>\n",
853 " <td>0.000017</td>\n",
854 " </tr>\n",
855 " <tr>\n",
856 " <th>2016-01-04 09:33:00-05:00</th>\n",
857 " <td>101.865</td>\n",
858 " <td>102.24</td>\n",
859 " <td>101.84</td>\n",
860 " <td>102.160</td>\n",
861 " <td>222334.0</td>\n",
862 " <td>102.160</td>\n",
863 " <td>3</td>\n",
864 " <td>09:33:00</td>\n",
865 " <td>2016-01-04</td>\n",
866 " <td>101.864</td>\n",
867 " <td>0.002902</td>\n",
868 " <td>0.000006</td>\n",
869 " <td>0.000147</td>\n",
870 " </tr>\n",
871 " <tr>\n",
872 " <th>2016-01-04 09:34:00-05:00</th>\n",
873 " <td>102.160</td>\n",
874 " <td>102.23</td>\n",
875 " <td>101.96</td>\n",
876 " <td>102.180</td>\n",
877 " <td>161446.0</td>\n",
878 " <td>102.180</td>\n",
879 " <td>4</td>\n",
880 " <td>09:34:00</td>\n",
881 " <td>2016-01-04</td>\n",
882 " <td>102.160</td>\n",
883 " <td>0.000196</td>\n",
884 " <td>0.000006</td>\n",
885 " <td>0.000010</td>\n",
886 " </tr>\n",
887 " <tr>\n",
888 " <th>2016-01-04 09:35:00-05:00</th>\n",
889 " <td>102.160</td>\n",
890 " <td>102.19</td>\n",
891 " <td>101.94</td>\n",
892 " <td>101.960</td>\n",
893 " <td>210727.0</td>\n",
894 " <td>101.960</td>\n",
895 " <td>5</td>\n",
896 " <td>09:35:00</td>\n",
897 " <td>2016-01-04</td>\n",
898 " <td>102.180</td>\n",
899 " <td>-0.002155</td>\n",
900 " <td>0.000006</td>\n",
901 " <td>0.000109</td>\n",
902 " </tr>\n",
903 " </tbody>\n",
904 "</table>\n",
905 "</div>"
906 ],
907 "text/plain": [
908 " open_price high low close_price volume \\\n",
909 "2016-01-04 09:31:00-05:00 101.950 102.07 101.72 101.830 804756.0 \n",
910 "2016-01-04 09:32:00-05:00 101.810 101.94 101.60 101.864 231895.0 \n",
911 "2016-01-04 09:33:00-05:00 101.865 102.24 101.84 102.160 222334.0 \n",
912 "2016-01-04 09:34:00-05:00 102.160 102.23 101.96 102.180 161446.0 \n",
913 "2016-01-04 09:35:00-05:00 102.160 102.19 101.94 101.960 210727.0 \n",
914 "\n",
915 " price min_of_day time day \\\n",
916 "2016-01-04 09:31:00-05:00 101.830 1 09:31:00 2016-01-04 \n",
917 "2016-01-04 09:32:00-05:00 101.864 2 09:32:00 2016-01-04 \n",
918 "2016-01-04 09:33:00-05:00 102.160 3 09:33:00 2016-01-04 \n",
919 "2016-01-04 09:34:00-05:00 102.180 4 09:34:00 2016-01-04 \n",
920 "2016-01-04 09:35:00-05:00 101.960 5 09:35:00 2016-01-04 \n",
921 "\n",
922 " close_tm1 min_close_ret_x min_close_ret_y \\\n",
923 "2016-01-04 09:31:00-05:00 101.950 -0.001178 0.000006 \n",
924 "2016-01-04 09:32:00-05:00 101.830 0.000334 0.000006 \n",
925 "2016-01-04 09:33:00-05:00 101.864 0.002902 0.000006 \n",
926 "2016-01-04 09:34:00-05:00 102.160 0.000196 0.000006 \n",
927 "2016-01-04 09:35:00-05:00 102.180 -0.002155 0.000006 \n",
928 "\n",
929 " variance \n",
930 "2016-01-04 09:31:00-05:00 0.000060 \n",
931 "2016-01-04 09:32:00-05:00 0.000017 \n",
932 "2016-01-04 09:33:00-05:00 0.000147 \n",
933 "2016-01-04 09:34:00-05:00 0.000010 \n",
934 "2016-01-04 09:35:00-05:00 0.000109 "
935 ]
936 },
937 "execution_count": 13,
938 "metadata": {},
939 "output_type": "execute_result"
940 }
941 ],
942 "source": [
943 "df['close_tm1'] = df.groupby('day')['close_price'].shift(1) # shift close value down one row\n",
944 "df.close_tm1 = df.close_tm1.fillna(df.open_price)\n",
945 "df['min_close_ret'] = np.log( df['close_price'] /df['close_tm1']) # log of close to close\n",
946 "close_returns = df.groupby('day')['min_close_ret'].mean() # daily mean of log of close to close\n",
947 "new_df = df.merge(pd.DataFrame(close_returns), left_on ='day', right_index = True)\n",
948 "# handle when index goes from 16:00 to 9:31:\n",
949 "\n",
950 "new_df['variance'] = new_df.apply(\n",
951 " lambda row: historical_vol(row.min_close_ret_x, row.min_close_ret_y),\n",
952 " axis=1)\n",
953 "#df['variance'] = df.apply(\n",
954 "# lambda row: gkyz_var(row.open_price, row.high, row.low,\n",
955 "# row.close_price, row.close_tm1),\n",
956 "# axis=1)\n",
957 "\n",
958 "new_df.head()\n"
959 ]
960 },
961 {
962 "cell_type": "code",
963 "execution_count": 14,
964 "metadata": {
965 "collapsed": false
966 },
967 "outputs": [
968 {
969 "data": {
970 "text/html": [
971 "<div>\n",
972 "<table border=\"1\" class=\"dataframe\">\n",
973 " <thead>\n",
974 " <tr style=\"text-align: right;\">\n",
975 " <th></th>\n",
976 " <th>day_variance</th>\n",
977 " <th>day</th>\n",
978 " </tr>\n",
979 " </thead>\n",
980 " <tbody>\n",
981 " <tr>\n",
982 " <th>2016-01-04 00:00:00-05:00</th>\n",
983 " <td>0.013261</td>\n",
984 " <td>2016-01-04</td>\n",
985 " </tr>\n",
986 " <tr>\n",
987 " <th>2016-01-05 00:00:00-05:00</th>\n",
988 " <td>0.011726</td>\n",
989 " <td>2016-01-05</td>\n",
990 " </tr>\n",
991 " <tr>\n",
992 " <th>2016-01-06 00:00:00-05:00</th>\n",
993 " <td>0.013465</td>\n",
994 " <td>2016-01-06</td>\n",
995 " </tr>\n",
996 " <tr>\n",
997 " <th>2016-01-07 00:00:00-05:00</th>\n",
998 " <td>0.019523</td>\n",
999 " <td>2016-01-07</td>\n",
1000 " </tr>\n",
1001 " <tr>\n",
1002 " <th>2016-01-08 00:00:00-05:00</th>\n",
1003 " <td>0.015441</td>\n",
1004 " <td>2016-01-08</td>\n",
1005 " </tr>\n",
1006 " </tbody>\n",
1007 "</table>\n",
1008 "</div>"
1009 ],
1010 "text/plain": [
1011 " day_variance day\n",
1012 "2016-01-04 00:00:00-05:00 0.013261 2016-01-04\n",
1013 "2016-01-05 00:00:00-05:00 0.011726 2016-01-05\n",
1014 "2016-01-06 00:00:00-05:00 0.013465 2016-01-06\n",
1015 "2016-01-07 00:00:00-05:00 0.019523 2016-01-07\n",
1016 "2016-01-08 00:00:00-05:00 0.015441 2016-01-08"
1017 ]
1018 },
1019 "execution_count": 14,
1020 "metadata": {},
1021 "output_type": "execute_result"
1022 }
1023 ],
1024 "source": [
1025 "df_daysum = pd.DataFrame(new_df['variance'].resample('d').sum()) # get sum of intraday variances daily\n",
1026 "df_daysum.columns = ['day_variance']\n",
1027 "df_daysum['day'] = df_daysum.index.date\n",
1028 "df_daysum.head()"
1029 ]
1030 },
1031 {
1032 "cell_type": "code",
1033 "execution_count": 15,
1034 "metadata": {
1035 "collapsed": false
1036 },
1037 "outputs": [
1038 {
1039 "data": {
1040 "text/html": [
1041 "<div>\n",
1042 "<table border=\"1\" class=\"dataframe\">\n",
1043 " <thead>\n",
1044 " <tr style=\"text-align: right;\">\n",
1045 " <th></th>\n",
1046 " <th>variance</th>\n",
1047 " <th>time</th>\n",
1048 " <th>min_of_day</th>\n",
1049 " <th>day</th>\n",
1050 " </tr>\n",
1051 " </thead>\n",
1052 " <tbody>\n",
1053 " <tr>\n",
1054 " <th>2016-01-04 09:30:00-05:00</th>\n",
1055 " <td>0.000691</td>\n",
1056 " <td>09:30:00</td>\n",
1057 " <td>10.0</td>\n",
1058 " <td>2016-01-04</td>\n",
1059 " </tr>\n",
1060 " <tr>\n",
1061 " <th>2016-01-04 09:40:00-05:00</th>\n",
1062 " <td>0.000875</td>\n",
1063 " <td>09:40:00</td>\n",
1064 " <td>20.0</td>\n",
1065 " <td>2016-01-04</td>\n",
1066 " </tr>\n",
1067 " <tr>\n",
1068 " <th>2016-01-04 09:50:00-05:00</th>\n",
1069 " <td>0.000740</td>\n",
1070 " <td>09:50:00</td>\n",
1071 " <td>30.0</td>\n",
1072 " <td>2016-01-04</td>\n",
1073 " </tr>\n",
1074 " <tr>\n",
1075 " <th>2016-01-04 10:00:00-05:00</th>\n",
1076 " <td>0.000489</td>\n",
1077 " <td>10:00:00</td>\n",
1078 " <td>40.0</td>\n",
1079 " <td>2016-01-04</td>\n",
1080 " </tr>\n",
1081 " <tr>\n",
1082 " <th>2016-01-04 10:10:00-05:00</th>\n",
1083 " <td>0.000654</td>\n",
1084 " <td>10:10:00</td>\n",
1085 " <td>50.0</td>\n",
1086 " <td>2016-01-04</td>\n",
1087 " </tr>\n",
1088 " </tbody>\n",
1089 "</table>\n",
1090 "</div>"
1091 ],
1092 "text/plain": [
1093 " variance time min_of_day day\n",
1094 "2016-01-04 09:30:00-05:00 0.000691 09:30:00 10.0 2016-01-04\n",
1095 "2016-01-04 09:40:00-05:00 0.000875 09:40:00 20.0 2016-01-04\n",
1096 "2016-01-04 09:50:00-05:00 0.000740 09:50:00 30.0 2016-01-04\n",
1097 "2016-01-04 10:00:00-05:00 0.000489 10:00:00 40.0 2016-01-04\n",
1098 "2016-01-04 10:10:00-05:00 0.000654 10:10:00 50.0 2016-01-04"
1099 ]
1100 },
1101 "execution_count": 15,
1102 "metadata": {},
1103 "output_type": "execute_result"
1104 }
1105 ],
1106 "source": [
1107 "\n",
1108 "conversion = {'variance':'sum', 'min_of_day':'last', 'time':'last'}\n",
1109 "df = new_df.resample('10t', closed='right').apply(conversion)\n",
1110 "df['day'] = df.index.date\n",
1111 "df['time'] = df.index.time\n",
1112 "df.head()"
1113 ]
1114 },
1115 {
1116 "cell_type": "code",
1117 "execution_count": 16,
1118 "metadata": {
1119 "collapsed": false
1120 },
1121 "outputs": [
1122 {
1123 "data": {
1124 "text/html": [
1125 "<div>\n",
1126 "<table border=\"1\" class=\"dataframe\">\n",
1127 " <thead>\n",
1128 " <tr style=\"text-align: right;\">\n",
1129 " <th></th>\n",
1130 " <th>variance</th>\n",
1131 " <th>time</th>\n",
1132 " <th>min_of_day</th>\n",
1133 " <th>day</th>\n",
1134 " <th>day_variance</th>\n",
1135 " <th>interval_pct</th>\n",
1136 " </tr>\n",
1137 " </thead>\n",
1138 " <tbody>\n",
1139 " <tr>\n",
1140 " <th>0</th>\n",
1141 " <td>0.000691</td>\n",
1142 " <td>09:30:00</td>\n",
1143 " <td>10.0</td>\n",
1144 " <td>2016-01-04</td>\n",
1145 " <td>0.013261</td>\n",
1146 " <td>0.052138</td>\n",
1147 " </tr>\n",
1148 " <tr>\n",
1149 " <th>1</th>\n",
1150 " <td>0.000875</td>\n",
1151 " <td>09:40:00</td>\n",
1152 " <td>20.0</td>\n",
1153 " <td>2016-01-04</td>\n",
1154 " <td>0.013261</td>\n",
1155 " <td>0.065999</td>\n",
1156 " </tr>\n",
1157 " <tr>\n",
1158 " <th>2</th>\n",
1159 " <td>0.000740</td>\n",
1160 " <td>09:50:00</td>\n",
1161 " <td>30.0</td>\n",
1162 " <td>2016-01-04</td>\n",
1163 " <td>0.013261</td>\n",
1164 " <td>0.055801</td>\n",
1165 " </tr>\n",
1166 " <tr>\n",
1167 " <th>3</th>\n",
1168 " <td>0.000489</td>\n",
1169 " <td>10:00:00</td>\n",
1170 " <td>40.0</td>\n",
1171 " <td>2016-01-04</td>\n",
1172 " <td>0.013261</td>\n",
1173 " <td>0.036899</td>\n",
1174 " </tr>\n",
1175 " <tr>\n",
1176 " <th>4</th>\n",
1177 " <td>0.000654</td>\n",
1178 " <td>10:10:00</td>\n",
1179 " <td>50.0</td>\n",
1180 " <td>2016-01-04</td>\n",
1181 " <td>0.013261</td>\n",
1182 " <td>0.049305</td>\n",
1183 " </tr>\n",
1184 " </tbody>\n",
1185 "</table>\n",
1186 "</div>"
1187 ],
1188 "text/plain": [
1189 " variance time min_of_day day day_variance interval_pct\n",
1190 "0 0.000691 09:30:00 10.0 2016-01-04 0.013261 0.052138\n",
1191 "1 0.000875 09:40:00 20.0 2016-01-04 0.013261 0.065999\n",
1192 "2 0.000740 09:50:00 30.0 2016-01-04 0.013261 0.055801\n",
1193 "3 0.000489 10:00:00 40.0 2016-01-04 0.013261 0.036899\n",
1194 "4 0.000654 10:10:00 50.0 2016-01-04 0.013261 0.049305"
1195 ]
1196 },
1197 "execution_count": 16,
1198 "metadata": {},
1199 "output_type": "execute_result"
1200 }
1201 ],
1202 "source": [
1203 "df = df.merge(df_daysum, how='left', on='day') # merge daily and intraday volatilty dataframes\n",
1204 "df['interval_pct'] = df['variance'] / df['day_variance'] # calculate percent of days volatility for each row\n",
1205 "df.head()"
1206 ]
1207 },
1208 {
1209 "cell_type": "code",
1210 "execution_count": 17,
1211 "metadata": {
1212 "collapsed": false
1213 },
1214 "outputs": [
1215 {
1216 "data": {
1217 "text/plain": [
1218 "<matplotlib.text.Text at 0x7f96876ac690>"
1219 ]
1220 },
1221 "execution_count": 17,
1222 "metadata": {},
1223 "output_type": "execute_result"
1224 },
1225 {
1226 "data": {
1227 "image/png": "iVBORw0KGgoAAAANSUhEUgAAA00AAAH6CAYAAADbU6fIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n",
1228 "text/plain": [
1229 "<matplotlib.figure.Figure at 0x7f96ac115e50>"
1230 ]
1231 },
1232 "metadata": {},
1233 "output_type": "display_data"
1234 }
1235 ],
1236 "source": [
1237 "plt.scatter(df.min_of_day, df.interval_pct)\n",
1238 "plt.xlim(0,400)\n",
1239 "plt.ylim(0,)\n",
1240 "plt.xlabel('Time from Open (minutes)')\n",
1241 "plt.ylabel('Interval Contribution of Daily Volatility')\n",
1242 "plt.title('Probabilty Distribution of Daily Volatility ')"
1243 ]
1244 },
1245 {
1246 "cell_type": "code",
1247 "execution_count": 18,
1248 "metadata": {
1249 "collapsed": false,
1250 "scrolled": false
1251 },
1252 "outputs": [
1253 {
1254 "data": {
1255 "image/png": "iVBORw0KGgoAAAANSUhEUgAAA14AAAH6CAYAAAAXyp0jAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nZwmC6MvgKesAAAAASUVORK5CYII=\n",
1256 "text/plain": [
1257 "<matplotlib.figure.Figure at 0x7f9687736410>"
1258 ]
1259 },
1260 "metadata": {},
1261 "output_type": "display_data"
1262 }
1263 ],
1264 "source": [
1265 "grouped = df.groupby(df.min_of_day)\n",
1266 "grouped = df.groupby(df.time) # groupby time\n",
1267 "m = grouped.median() # get median\n",
1268 "x = m.index\n",
1269 "y = m['interval_pct']\n",
1270 "\n",
1271 "fig, ax1 = plt.subplots()\n",
1272 "ax1.bar(x, 100*y, 60*10 ,alpha=0.75);# plot interval percent of median daily volatility \n",
1273 "ax2 = ax1.twinx()\n",
1274 "ax2.plot(x, (100*y).cumsum()) # plot cummulative distribution of median daily volatility\n",
1275 "ax2.set_ylim(0,100);\n",
1276 "plt.title('Intraday Volatility Profile')\n",
1277 "ax1.set_ylabel('% of Day\\'s Variance in Bucket');\n",
1278 "ax2.set_ylabel('Cumulative % of Day\\'s Variance');\n",
1279 "#cut off graph at 4pm"
1280 ]
1281 },
1282 {
1283 "cell_type": "markdown",
1284 "metadata": {},
1285 "source": [
1286 "## Bid-Ask Spread\n",
1287 "\n",
1288 "\n",
1289 "The following relationships between bid-ask spread and order attributes are seen in our live trading data:\n",
1290 "\n",
1291 "* As **market cap ** increases we expect spreads to decrease. Larger companies tend to exhibit lower bid-ask spreads.\n",
1292 "\n",
1293 "* As **volatility ** increases we expect spreads to increase. Greater price uncertainty results in wider bid-ask spreads.\n",
1294 "\n",
1295 "* As **average daily dollar volume ** increases, we expect spreads to decrease. Liquidity tends to be inversely proportional to spreads, due to larger number of participants and more frequent updates to quotes.\n",
1296 "\n",
1297 "* As **price ** increases, we expect spreads to decrease (similar to market cap), although this relationship is not as strong.\n",
1298 "\n",
1299 "* As **time of day ** progresses we expect spreads to decrease. During early stages of a trading day, price discovery takes place. in contrast, at market close order completion is the priority of most participants and activity is led by liquidity management, rather than price discovery. \n",
1300 "\n",
1301 "The Trading Team developed a log-linear model fit to our live data that predicts the spread for a security with which we have the above listed attributes. "
1302 ]
1303 },
1304 {
1305 "cell_type": "code",
1306 "execution_count": 19,
1307 "metadata": {
1308 "collapsed": true
1309 },
1310 "outputs": [],
1311 "source": [
1312 "def model_spread(time, vol, mcap = 1.67 * 10 ** 10, adv = 84.5, px = 91.0159):\n",
1313 " time_bins = np.array([0.0, 960.0, 2760.0, 5460.0, 21660.0]) #seconds from market open\n",
1314 " time_coefs = pd.Series([0.0, -0.289, -0.487, -0.685, -0.952])\n",
1315 " \n",
1316 " vol_bins = np.array([0.0, .1, .15, .2, .3, .4])\n",
1317 " vol_coefs = pd.Series([0.0, 0.251, 0.426, 0.542, 0.642, 0.812])\n",
1318 " \n",
1319 " mcap_bins = np.array([0.0, 2.0, 5.0, 10.0, 25.0, 50.0]) * 10 ** 9\n",
1320 " mcap_coefs = pd.Series([0.291, 0.305, 0.0, -0.161, -0.287, -0.499])\n",
1321 " \n",
1322 " adv_bins = np.array([0.0, 50.0, 100.0, 150.0, 250.0, 500.0]) * 10 ** 6\n",
1323 " adv_coefs = pd.Series([0.303, 0.0, -0.054, -0.109, -0.242, -0.454])\n",
1324 " \n",
1325 " px_bins = np.array([0.0, 28.0, 45.0, 62.0, 82.0, 132.0])\n",
1326 " px_coefs = pd.Series([-0.077, -0.187, -0.272, -0.186, 0.0, 0.380])\n",
1327 " \n",
1328 " return np.exp(1.736 +\\\n",
1329 " time_coefs[np.digitize(time, time_bins) - 1] +\\\n",
1330 " vol_coefs[np.digitize(vol, vol_bins) - 1] +\\\n",
1331 " mcap_coefs[np.digitize(mcap, mcap_bins) - 1] +\\\n",
1332 " adv_coefs[np.digitize(adv, adv_bins) - 1] +\\\n",
1333 " px_coefs[np.digitize(px, px_bins) - 1])\n",
1334 "\n",
1335 "\n"
1336 ]
1337 },
1338 {
1339 "cell_type": "markdown",
1340 "metadata": {},
1341 "source": [
1342 "### Predict the spread for the following order : \n",
1343 "* Stock: DPS\n",
1344 "* Qty: 425 shares\n",
1345 "* Time of day : 9:41 am July 19, 2017, 600 seconds from open\n",
1346 "* Market Cap : 1.67e10\n",
1347 "* Volatility: 18.8%\n",
1348 "* ADV : 929k shares ; 84.5M dollars\n",
1349 "* Avg Price : 91.0159"
1350 ]
1351 },
1352 {
1353 "cell_type": "code",
1354 "execution_count": 20,
1355 "metadata": {
1356 "collapsed": false
1357 },
1358 "outputs": [
1359 {
1360 "name": "stdout",
1361 "output_type": "stream",
1362 "text": [
1363 "10.0141590846 bps\n"
1364 ]
1365 }
1366 ],
1367 "source": [
1368 "t = 10 * 60\n",
1369 "vlty = 0.188\n",
1370 "mcap = 1.67 * 10 ** 10\n",
1371 "adv = 84.5 *10\n",
1372 "price = 91.0159 \n",
1373 "print model_spread(t, vlty, mcap, adv, price), 'bps'"
1374 ]
1375 },
1376 {
1377 "cell_type": "code",
1378 "execution_count": 21,
1379 "metadata": {
1380 "collapsed": false
1381 },
1382 "outputs": [
1383 {
1384 "data": {
1385 "image/png": "iVBORw0KGgoAAAANSUhEUgAAAz8AAAH6CAYAAAAp7/JtAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nkmKC4UeSJElSTDD8SJIkSYoJ/x/i965Y0DTy9AAAAABJRU5ErkJggg==\n",
1386 "text/plain": [
1387 "<matplotlib.figure.Figure at 0x7f9687b15d10>"
1388 ]
1389 },
1390 "metadata": {},
1391 "output_type": "display_data"
1392 }
1393 ],
1394 "source": [
1395 "x = np.linspace(0,390*60) # seconds from open shape (50,)\n",
1396 "y = np.linspace(.01,.7) # volatility shape(50,)\n",
1397 "mcap = 1.67 * 10 ** 10\n",
1398 "adv = 84.5\n",
1399 "px = 91.0159\n",
1400 "\n",
1401 "\n",
1402 "vlty_coefs = pd.Series([0.0, 0.251, 0.426, 0.542, 0.642, 0.812])\n",
1403 "vlty_bins = np.array([0.0, .1, .15, .2, .3, .4])\n",
1404 "time_bins = np.array([0.0, 960.0, 2760.0, 5460.0, 21660.0]) #seconds from market open\n",
1405 "time_coefs = pd.Series([0.0, -0.289, -0.487, -0.685, -0.952])\n",
1406 "mcap_bins = np.array([0.0, 2.0, 5.0, 10.0, 25.0, 50.0]) * 10 ** 9\n",
1407 "mcap_coefs = pd.Series([0.291, 0.305, 0.0, -0.161, -0.287, -0.499])\n",
1408 "adv_bins = np.array([0.0, 50.0, 100.0, 150.0, 250.0, 500.0]) * 10 ** 6\n",
1409 "adv_coefs = pd.Series([0.303, 0.0, -0.054, -0.109, -0.242, -0.454])\n",
1410 "px_bins = np.array([0.0, 28.0, 45.0, 62.0, 82.0, 132.0])\n",
1411 "px_coefs = pd.Series([-0.077, -0.187, -0.272, -0.186, 0.0, 0.380])\n",
1412 "# shape (1, 50)\n",
1413 "time_contrib = np.take(time_coefs, np.digitize(x, time_bins) - 1).reshape((1, len(x)))\n",
1414 "# shape (50, 1)\n",
1415 "vlty_contrib = np.take(vlty_coefs, np.digitize(y, vlty_bins) - 1).reshape((len(y), 1))\n",
1416 "# scalar\n",
1417 "mcap_contrib = mcap_coefs[np.digitize((mcap,), mcap_bins)[0] - 1]\n",
1418 "# scalar\n",
1419 "adv_contrib = adv_coefs[np.digitize((adv,), adv_bins)[0] - 1]\n",
1420 "# scalar\n",
1421 "px_contrib = px_coefs[np.digitize((px,), px_bins)[0] - 1]\n",
1422 "\n",
1423 "z_scalar_contrib = 1.736 + mcap_contrib + adv_contrib + px_contrib\n",
1424 "\n",
1425 "\n",
1426 "Z = np.exp(z_scalar_contrib + time_contrib + vlty_contrib)\n",
1427 "\n",
1428 "cmap=plt.get_cmap('jet')\n",
1429 "X, Y = np.meshgrid(x,y)\n",
1430 "CS = plt.contour(X/60,Y,Z, linewidths=3, cmap=cmap, alpha=0.8);\n",
1431 "plt.clabel(CS)\n",
1432 "plt.xlabel('Time from the Open (Minutes)')\n",
1433 "plt.ylabel('Volatility')\n",
1434 "plt.title('Spreads for varying Volatility and Trading Times (mcap = 16.7B, px = 91, adv = 84.5M)')\n",
1435 "plt.show()"
1436 ]
1437 },
1438 {
1439 "cell_type": "markdown",
1440 "metadata": {},
1441 "source": [
1442 "## **Quantifying Market Impact**\n",
1443 "\n",
1444 "Theoritical Market Impact models attempt to estimate transaction costs of trading by utilizing order attributes. There are many published market impact models. Here are some examples: \n",
1445 "\n",
1446 "1. Quantopian Volume Slippage Model \n",
1447 "2. Almgren et al 2005\n",
1448 "3. Kissell et al. 2004\n",
1449 "4. J.P. Morgan Model 2010\n",
1450 "\n",
1451 "\n",
1452 "The models have a few commonalities such as the inclusion of relative order size, volatility as well as custom parameters calculated from observed trades.There are also notable differences in the models such as (1) JPM explictly calls out spread impact, (2) Almgren considers fraction of outstanding shares traded daily, (3) Q Slipplage Model does not consider volatility , and (4) Kissel explicit parameter to proportion temporary and permenant impact, to name a few.\n",
1453 "\n",
1454 "The academic models have notions of temporary and permanant impact. **Temporary Impact** captures the impact on transaction costs due to urgency or aggressiveness of the trade. While **Permenant Impact** estimates with respect to information or short term alpha in a trade.\n",
1455 "\n",
1456 "### Almgren et al. model (2005)\n",
1457 " \n",
1458 "This model assumes the initial order, X, is completed at a uniform rate of trading over a volume time\n",
1459 "interval T. That is, the trade rate in volume units is v = X/T, and is held\n",
1460 "constant until the trade is completed. Constant rate in these units is\n",
1461 "equivalent to VWAP execution during the time of execution. \n",
1462 "\n",
1463 "\n",
1464 "Almgren et al. model these two terms as\n",
1465 "\n",
1466 "\n",
1467 "\n",
1468 "$$\\text{tcost} = 0.5 \\overbrace{\\gamma \\sigma \\frac{X}{V}\\left(\\frac{\\Theta}{V}\\right)^{1/4}}^{\\text{permanent}} + \\overbrace{\\eta \\sigma \\left| \\frac{X}{VT} \\right|^{3/5}}^{\\text{temporary}} $$\n",
1469 "\n",
1470 "\n",
1471 "where $\\gamma$ and $\\eta$ are the \"universal coefficients of market impact\" and estimated by the authors using a large sample of institutional trades; $\\sigma$ is the daily volatility of the stock; $\\Theta$ is the total shares outstanding of the stock; $X$ is the number of shares you would like to trade (unsigned); $T$ is the time width in % of trading time over which you slice the trade; and $V$ is the average daily volume (\"ADV\") in shares of the stock. The interpretation of $\\frac{\\Theta}{V}$ is the inverse of daily \"turnover\", the fraction of the company's value traded each day.\n",
1472 "\n",
1473 "For reference, FB has 2.3B shares outstanding, its average daily volume over 20 days is 18.8M therefore its inverse turnover is approximately 122, put another way, it trades less than 4% of outstanding shares daily.\n",
1474 "\n",
1475 "\n",
1476 "\n",
1477 "### Potential Limitations\n",
1478 "\n",
1479 "Note that the Almgren et al (2005) and Kissell, Glantz and Malamut (2004) papers were released prior to the adoption and phased implementation of [__Reg NMS__](https://www.sec.gov/rules/final/34-51808.pdf), prior to the \"quant meltdown\" of August 2007, prior to the financial crisis hitting markets in Q4 2008, and other numerous developments in market microstructure. \n"
1480 ]
1481 },
1482 {
1483 "cell_type": "code",
1484 "execution_count": 22,
1485 "metadata": {
1486 "collapsed": false
1487 },
1488 "outputs": [],
1489 "source": [
1490 "def perm_impact(pct_adv, annual_vol_pct = 0.25, inv_turnover = 200):\n",
1491 " gamma = 0.314\n",
1492 " return 10000 * gamma * (annual_vol_pct / 16) * pct_adv * (inv_turnover)**0.25\n",
1493 "\n",
1494 "def temp_impact(pct_adv, minutes, annual_vol_pct = 0.25, minutes_in_day = 60*6.5):\n",
1495 " eta = 0.142\n",
1496 " day_frac = minutes / minutes_in_day\n",
1497 " return 10000 * eta * (annual_vol_pct / 16) * abs(pct_adv/day_frac)**0.6\n",
1498 "\n",
1499 "def tc_bps(pct_adv, minutes, annual_vol_pct = 0.25, inv_turnover = 200, minutes_in_day = 60*6.5):\n",
1500 " perm = perm_impact(pct_adv, annual_vol_pct=annual_vol_pct, inv_turnover=inv_turnover)\n",
1501 " temp = temp_impact(pct_adv, minutes, annual_vol_pct=annual_vol_pct, minutes_in_day=minutes_in_day)\n",
1502 " return 0.5 * perm + temp\n"
1503 ]
1504 },
1505 {
1506 "cell_type": "markdown",
1507 "metadata": {},
1508 "source": [
1509 "So if we are trading 10% of ADV of a stock with a daily vol of 1.57% and we plan to do this over half the day, we would expect 8bps of TC (which is the Almgren estimate of temporary impact cost in this scenario). From the paper, this is a sliver of the output at various trading speeds:\n",
1510 "\n",
1511 " Variable | IBM\n",
1512 " ------------- | -------------\n",
1513 " Inverse turnover ($\\Theta/V$) | 263\n",
1514 " Daily vol ($\\sigma$) | 1.57%\n",
1515 " Trade % ADV (X/V) | 10%\n",
1516 " \n",
1517 " Item | Fast | Medium | Slow\n",
1518 " -----|------|--------|-------\n",
1519 " Permanent Impact (bps) | 20 | 20 | 20\n",
1520 " Trade duration (day fraction %) | 10% | 20% | 50%\n",
1521 " Temporary Impact (bps) | 22 | 15 | 8\n",
1522 " Total Impact (bps) | 32 | 25 | 18\n",
1523 " "
1524 ]
1525 },
1526 {
1527 "cell_type": "code",
1528 "execution_count": 23,
1529 "metadata": {
1530 "collapsed": false
1531 },
1532 "outputs": [
1533 {
1534 "name": "stdout",
1535 "output_type": "stream",
1536 "text": [
1537 "Cost to trade Fast (First 40 mins): 32.22 bps\n",
1538 "Cost to trade Medium (First 90 mins): 24.63 bps\n",
1539 "Cost to trade Slow by Noon: 18.41 bps\n"
1540 ]
1541 }
1542 ],
1543 "source": [
1544 "print 'Cost to trade Fast (First 40 mins):', round(tc_bps(pct_adv=0.1, annual_vol_pct=16*0.0157, inv_turnover=263, minutes=0.1*60*6.5),2), 'bps'\n",
1545 "print 'Cost to trade Medium (First 90 mins):', round(tc_bps(pct_adv=0.1, annual_vol_pct=16*0.0157, inv_turnover=263, minutes=0.2*60*6.5),2), 'bps' \n",
1546 "print 'Cost to trade Slow by Noon:', round(tc_bps(pct_adv=0.1, annual_vol_pct=16*0.0157, inv_turnover=263, minutes=0.5*60*6.5),2), 'bps'\n"
1547 ]
1548 },
1549 {
1550 "cell_type": "markdown",
1551 "metadata": {},
1552 "source": [
1553 "Trading 0.50% of ADV of a stock with a daily vol of 1.57% and we plan to do this over 30 minutes..."
1554 ]
1555 },
1556 {
1557 "cell_type": "code",
1558 "execution_count": 24,
1559 "metadata": {
1560 "collapsed": false
1561 },
1562 "outputs": [
1563 {
1564 "name": "stdout",
1565 "output_type": "stream",
1566 "text": [
1567 "4.79\n"
1568 ]
1569 }
1570 ],
1571 "source": [
1572 "print round(tc_bps(pct_adv=0.005, minutes=30, annual_vol_pct=16*0.0157),2)"
1573 ]
1574 },
1575 {
1576 "cell_type": "markdown",
1577 "metadata": {},
1578 "source": [
1579 "Let's say we wanted to trade \\$2M notional of Facebook, and we are going to send the trade to an execution algo (e.g., VWAP) to be sliced over 15 minutes."
1580 ]
1581 },
1582 {
1583 "cell_type": "code",
1584 "execution_count": 25,
1585 "metadata": {
1586 "collapsed": false
1587 },
1588 "outputs": [
1589 {
1590 "name": "stdout",
1591 "output_type": "stream",
1592 "text": [
1593 "Expected tc in bps: 1.66\n",
1594 "Expected tc in $ per share: 0.02\n"
1595 ]
1596 }
1597 ],
1598 "source": [
1599 "trade_notional = 2000000 # 2M notional\n",
1600 "stock_price = 110.89 # dollars per share\n",
1601 "shares_to_trade = trade_notional/stock_price\n",
1602 "stock_adv_shares = 30e6 # 30 M\n",
1603 "stock_shares_outstanding = 275e9/110.89\n",
1604 "\n",
1605 "expected_tc = tc_bps(shares_to_trade/stock_adv_shares, minutes=15, annual_vol_pct=0.22)\n",
1606 "print \"Expected tc in bps: %0.2f\" % expected_tc\n",
1607 "print \"Expected tc in $ per share: %0.2f\" % (expected_tc*stock_price / 10000)"
1608 ]
1609 },
1610 {
1611 "cell_type": "markdown",
1612 "metadata": {},
1613 "source": [
1614 "And to motivate some intuition, at the total expected cost varies as a function of how much % ADV we want to trade in 30 minutes."
1615 ]
1616 },
1617 {
1618 "cell_type": "code",
1619 "execution_count": 26,
1620 "metadata": {
1621 "collapsed": false
1622 },
1623 "outputs": [
1624 {
1625 "data": {
1626 "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0MAAAH8CAYAAAATw3RmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nhJG/2tw2bQAAAABJRU5ErkJggg==\n",
1627 "text/plain": [
1628 "<matplotlib.figure.Figure at 0x7f9697824910>"
1629 ]
1630 },
1631 "metadata": {},
1632 "output_type": "display_data"
1633 }
1634 ],
1635 "source": [
1636 "x = np.linspace(0.0001,0.03)\n",
1637 "plt.plot(x*100,tc_bps(x,30,0.25), label=\"$\\sigma$ = 25%\");\n",
1638 "plt.plot(x*100,tc_bps(x,30,0.40), label=\"$\\sigma$ = 40%\");\n",
1639 "plt.ylabel('tcost in bps')\n",
1640 "plt.xlabel('Trade as % of ADV')\n",
1641 "plt.title('tcost in Basis Points of Trade Value; $\\sigma$ = 25% and 40%; time = 15 minutes');\n",
1642 "plt.legend();"
1643 ]
1644 },
1645 {
1646 "cell_type": "markdown",
1647 "metadata": {},
1648 "source": [
1649 "And let's look a tcost as a function of trading time and % ADV."
1650 ]
1651 },
1652 {
1653 "cell_type": "code",
1654 "execution_count": 27,
1655 "metadata": {
1656 "collapsed": false
1657 },
1658 "outputs": [
1659 {
1660 "data": {
1661 "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0MAAAH8CAYAAAATw3RmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRMSQIAiCIAiCIAi9kv8PgMi8uCFHiQ8AAAAASUVORK5CYII=\n",
1662 "text/plain": [
1663 "<matplotlib.figure.Figure at 0x7f968c96b2d0>"
1664 ]
1665 },
1666 "metadata": {},
1667 "output_type": "display_data"
1668 }
1669 ],
1670 "source": [
1671 "x = np.linspace(0.001,0.03)\n",
1672 "y = np.linspace(5,30)\n",
1673 "X, Y = np.meshgrid(x,y)\n",
1674 "Z = tc_bps(X,Y,0.20)\n",
1675 "levels = np.linspace(0.0, 60, 30)\n",
1676 "cmap=plt.get_cmap('Reds')\n",
1677 "cmap=plt.get_cmap('hot')\n",
1678 "cmap=plt.get_cmap('jet')\n",
1679 "\n",
1680 "plt.subplot(1,2,1);\n",
1681 "CS = plt.contour(X*100, Y, Z, levels, linewidths=3, cmap=cmap, alpha=0.55);\n",
1682 "plt.clabel(CS);\n",
1683 "plt.ylabel('Trading Time in Minutes');\n",
1684 "plt.xlabel('Trade as % of ADV');\n",
1685 "plt.title('tcost in Basis Points of Trade Value; $\\sigma$ = 20%');\n",
1686 "\n",
1687 "plt.subplot(1,2,2);\n",
1688 "Z = tc_bps(X,Y,0.40)\n",
1689 "CS = plt.contour(X*100, Y, Z, levels, linewidths=3, cmap=cmap, alpha=0.55);\n",
1690 "plt.clabel(CS);\n",
1691 "plt.ylabel('Trading Time in Minutes');\n",
1692 "plt.xlabel('Trade as % of ADV');\n",
1693 "plt.title('tcost in Basis Points of Trade Value; $\\sigma$ = 40%');"
1694 ]
1695 },
1696 {
1697 "cell_type": "markdown",
1698 "metadata": {},
1699 "source": [
1700 "Alternatively, we might want to get some intuition as to if we wanted to limit our cost, how does the trading time vary versus % of ADV."
1701 ]
1702 },
1703 {
1704 "cell_type": "code",
1705 "execution_count": 28,
1706 "metadata": {
1707 "collapsed": false
1708 },
1709 "outputs": [
1710 {
1711 "data": {
1712 "image/png": "iVBORw0KGgoAAAANSUhEUgAAAz4AAAH8CAYAAAAQdHpOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xl4VPXZxvF7QhYIhFUTFJcitKYiuETZRI0ooGBVXFgN\niChWRUUNIqiIFSkEURGKmBeogmgquCNIBQxCS4MErIosilYoS9jXBAJk3j/SjIRkmEwyZ/9+rqtX\nyWRyzu8IM0/ueZ5zjs/v9/sFAAAAAC4WZfUCAAAAAMBoBB8AAAAArkfwAQAAAOB6BB8AAAAArkfw\nAQAAAOB6BB8AAAAArkfwAQAAAOB6BB8AAAAArkfwscCIESN0ww036IYbbtCFF16o9u3b64YbblDn\nzp2Vn59f6e3m5uaqffv2+vbbb3XPPfeYst6vvvoqovs60TfffBP2tpOTk/XII4+Uefypp55ScnJy\npbd7slmzZlXp5820cOFC3XLLLerSpYt69+6tH3/8MfC9ZcuW6dZbb9X111+v/v37Ky8vT5K0d+9e\n9e7dWx07dtTf/va3UtsbMGCAvvvuO1OPAYC5qFMVQ52KrOzsbCUnJ2vLli2Bx6hTiCg/LNW+fXv/\nypUrI7KtFStW+Nu3bx+RbQUTyfUa4fzzz/d36tTJf/DgwcBjhYWF/ptuusmfnJwckX0cO3bMf9ll\nl0VkW0bbtm2b//LLL/dv2LDB7/f7/TNnzvT36NHD7/f7/fn5+f42bdr416xZ4/f7/f7p06f777vv\nPr/f7/dPmTLFn5mZ6T98+LD/mmuu8RcVFfn9fr9/3rx5/hEjRlhwJACsQp2KLOpU+QoKCvw33nij\nv1WrVv7Nmzf7/X7qFCKPjo/F/H6//H5/4OvNmzfryiuv1J///GelpaVJKv7UpnPnzurUqZPS0tK0\ndevWwPMnTZqk1NRU3XrrrfrnP/8pSVq+fLk6duwY2F67du00Y8YM/eEPf9DVV1+tefPmBX5+8uTJ\natu2re644w69/fbbat++fVjrLW9fU6ZM0fXXX6/rr79e//73v3Xffffpqquu0rBhwwI/t2DBAv3h\nD39Qhw4d1L9/f+3du7fMvkq2HeoYTtaqVSt9/vnnga+XLl2q5s2bn3LN5W37xOed+PXdd9+tAwcO\nqHPnztq8eXPQ4zl+/LiefvppXX/99erUqZMefvhhHTp0SJJ01113ac2aNaf8bx0JMTExeumll3Te\needJklJSUrRhwwZJ0r/+9S+dc845gU8Yb7vtNv3jH/9Qfn6+fvnlF11wwQWKi4tTYmKidu7cqYKC\nAmVmZuqxxx4zfN0A7IM6RZ0yw4QJE3TLLbeoZs2agceoU4g0go8N7dmzRxdccIFmzJih3bt3a+TI\nkXrjjTc0f/58nX322Zo0aZIk6ccff9Sbb76p999/X++9957WrVsX2IbP5wv8ee/evapWrZo++eQT\nDR06VK+88ook6YcfftDUqVP1ySefaObMmZo3b16pn6uok/eVmJiozz77TL/73e/06KOPKiMjQx9/\n/LHmzJmjTZs2adOmTRoyZIheeeUVff7552rVqpWGDx9+ym0HO4by3HDDDfrkk08CX8+ZM0c33HDD\nKdccbNsn//fw+Xz685//rOjoaM2dO1eNGjUKejxLly7Vf//7X3322WeaP3++mjZtqq+//lqS9MYb\nb+j3v/99uevPz8/X888/r379+unmm2/WwIED9e6775Z6zty5cwNjHJ07dw78ec6cOaWeV79+fbVr\n1y7w9eLFi9WiRQtJ0n/+8x+dffbZge/Fx8erbt262rhxo3w+X+AXh+PHj6tatWr6y1/+ol69emnS\npEn64x//qA8//DDI3wAAt6NOld02dapydUqS1q1bp2XLlumuu+4qFVqpU4g0go8NHT9+XNddd52k\n4l9cc3NzlZiYKEm67LLLtGnTJknSihUr1LJlS9WvX18+n0833XRT0O3deuutkqRmzZoFPolbsWKF\nWrVqpQYNGig2Nla33XZbRNZ+/fXXS5J+97vfqXnz5qpTp47q1q2rxMREbd++XUuWLFGrVq3UpEkT\nSVL37t21aNGiUm92Jzt27Fi5x3Ayn8+nVq1a6ccff9Tu3bt1+PBhff3112rdunXQ7Qf77xPMydsJ\ndjz16tXThg0b9Pnnn6ugoEAPP/ywrrjiipDbHjp0qO6991799a9/Vf369fXSSy+pW7dupZ7XuXNn\nzZs3T3PnztXcuXMDf77xxhuDbnvZsmWaPn164BPNgoICxcXFlXpOXFyc8vPzdcEFF2jFihXavXu3\nDh06pD179uibb75RUlKSDh06pNdee00zZ86s0qw/AOeiTpVFnap8nRoxYoSeeeYZVatWrdTj1ClE\nWrTVC0BZ1apVC7R6i4qK9Morr+iLL75QUVGRDh48qMaNG0uS9u3bp1q1agV+rnbt2kG3V716dUlS\nVFSUioqKJEn79+9XnTp1As9LSkqKyNpjY2MDf46Pjw98r2TfBw4c0FdffaXOnTtLKn4TrVOnjvbs\n2aP69euXu93o6Ohyj6E8Pp9PHTp00Lx58wIdj5PfTE9ec0W3XZ5gx3PWWWfpmWee0YwZMzRkyBC1\nb99eI0aMKPV3drJPP/1ULVu2VMOGDSVJCQkJKiwsDPw3rawFCxbohRdeUGZmZmDsLT4+XkeOHCn1\nvMOHDys+Pl4333yznnjiCfXt21fp6ekaNWqUhg0bpi+//FIXXnihfD6fzj77bG3YsKHUeAYAb6BO\nlUWdqlydysrK0m9/+1tdcsklZb5HnUKkEXxsbu7cucrOztbbb7+tOnXqaNasWYH2eO3atXXw4MHA\nc3fv3h3WtmvVqlXqk5Dt27dHZtEhJCYmqm3btho/frxh++jSpYteeuklNWjQQL169ZJUdhwglKio\nKB0/fjzw9f79+wN/PvHTtFMdT8eOHdWxY0ft379fQ4cO1ZQpUzRo0KCg+8zNzQ18qnfs2DHl5+eX\nW4Dmzp2rCRMmBI7J7/fL5/PpgQceKPNp2j//+U+NGjVK06ZNC/wyIkmNGzfW3LlzA18fOHBA+/fv\n129+8xtVr15dr776qqTiInfeeecpOTlZixcvLvXfINziC8B9qFOVQ50qtmjRIq1evVqLFi2SVPxv\n5Pbbb9crr7xCnULEMepmQye+We3atUuNGjUKfNI0b968QBG45JJLlJubqz179uj48eP6+OOPy93G\nyS3vkq+bN2+unJwc7d27V4WFhfroo48iuvZg2rVrp9zc3MAoxDfffKMXXnghrO0G20/J45dccol2\n7NihH374QS1btqzQz5z8dWJionbs2KHdu3eX+u8bHR2toqKiwAmgwY7n/fffD8y5165dW+edd17I\nopacnBzY/zvvvKP777+/3OdVdITg8OHDGjZsmCZOnFgq9EhS69attWXLFq1cuVJS8Tx3ampq4FNF\nSTp48KCmTp0auPRqkyZN9O233+r48eP64YcfymwTgDdQp0JvlzpVsTqVmZmpf/zjH1q6dKmWLl2q\nhg0b6r333lPLli2pU4g4Oj4WK+8N5sTHbrzxRn366afq1KmTzjrrLA0aNEgPPPCAxowZoyFDhqh7\n9+7q2rWr6tWrpy5duuiHH36Qz+crtY3yTnyUpBYtWuiWW27RLbfcojPPPFOdO3fWG2+8EfZ6K/r9\nku+dfvrpev755zVw4EAdO3ZMNWvWLHUlnYpsN9h+Tny8Y8eOpT4prMjPnPj1Oeeco9tuuy3w3+eW\nW27RunXrlJSUpJSUFLVv316vv/66Lr744nKPp3Hjxho2bJg6deqk6OhonXvuuRo9erSk4qvlDBky\npMyJo927d9ecOXO0detWXX755YEr2VTWwoULtWfPHqWnp0v69RO3t956S/Xr19fLL7+s5557TocP\nH9Y555wTWF+JCRMm6K677gp8mnfNNddo9uzZuuGGG3T77bcHHVsB4B7UKerUiSJdp8o71pJgFRcX\nR51CRPn8FfnoowoyMjK0cuVKHT9+XAMGDFDz5s01ePBg+f1+nX766crIyFBMTIyRS0AFLV68WOPH\nj9f7779v9VJcLzMzU+3bt1fTpk2tXgrgedQp56BOmYc6BTcydNQtJydHGzZsUFZWlv7v//5Po0aN\n0vjx43XnnXfqrbfe0jnnnKP33nvPyCXgFHbv3q1WrVppy5Yt8vv9mjdvni6++GKrl+UJjRo1opgA\nNkCdsjfqlHWoU3AjQzs+fr9fR44cUfXq1VVUVKQ2bdooISFB8+bNU0xMjL7++mtNmzYtcHIazPe3\nv/1NU6dOlc/n03nnnacXXngh6BVrAMBtqFP2R50CECmGnuPj8/kCJ6DNnj1bqampWrp0aWBkoEGD\nBtqxY4eRS0AI3bt3V/fu3a1eBgBYgjplf9QpAJFiysUNFixYoPfee09Tp05Vx44dA49XpNmUm5tr\n5NIAoIyUlJQq/fyKxYvlO8V9MKoiNjaWe1IYoCp1SqJWATAXdapyDA8+S5YsUWZmpqZOnapatWqp\nZs2agRtd5eXlBe70fCpV/cs9UXp6TsS2JUl5eXkRuaGalTgGe+AY7KFnz6q/Lfpq1dKxd96JwGrK\n0bOnMdv1sEjUKUl6551jBq+0ctzwuvTCMWRn11Bq6hkmrih8Xvh7qKrsJcU39k29Oj7EMyuvZ/eq\nf9Di1Tpl6MUNDh48qLFjx2ry5MlKSEiQJLVp00bz58+XJM2fP19XXnmlkUsAACAo6hTsIDu7htVL\nQASYEXpQNYZ2fObOnau9e/dq0KBBgfuHjBkzRk899ZT+9re/6cwzz1TXrl2NXAIAAEFRp2AXdu/2\noGIIPfZmaPDp1q2bunXrVubxadOmGblbAAAqhDoFIBJKuj2wN0NH3QAAABAcY27Ox4ibcxB8AAAA\nLMSYm/MRepyB4AMAAGABuj3Ox4ibsxB8AAAALEK3x7kYcXMeTwWfSN/DBwAAAN5F6HEWTwUfAAAA\nO2DMzdkYcXMmgg8AAIAFGHNzJkbcnIvgAwAAYCK6Pc5H6HEmgg8AAIDJ6PY4EyNuzkbwAQAAAEJg\nxM35CD4AAAAmYczN2Qg9zkbwAQAAMBFjbs7DiJs7EHwAAABMQLfHmRhxcw+CDwAAgEno9jgToccd\nCD4AAABAORhxc5doqxcAAIiMw4cP68knn9SuXbtUWFioBx54QFdccYWGDBmijRs3qlatWnr11VeV\nkJCgrKwszZ49W7GxsbrrrrvUsWPHUtsaOnSovvvuO9WrV0+S1L9/f1199dVWHBbgCrm5iYqnaeAo\njLhFntV1yjPBJz09x+olAIChFi1apObNm6t///7asmWL+vXrp759+6pBgwYaN26cZs2apRUrVuii\niy7SX//6V82ZM0d+v199+vRRamqqYmNjS20vPT2dsANEEGNuzkPoiSyr65Rngg8AuF3nzp0Df96y\nZYvOOOMMZWdn66GHHpIk3XHHHZKkb775Ruedd55iYmIkSb///e/173//W5dffrn5iwY8oPiiBvlW\nLwNhYMTNGFbXKYIPABggPzvbkO3W7tkz5HN69Oih7du367XXXtOjjz6qxYsXKyMjQ4mJiXr22Wd1\n7rnnav369dq7d69iYmK0atUqtWzZssx23nrrLU2bNk2nnXaannnmGdWtW9eIQwI8ISWlltVLQAV5\nZcTNi3WK4AMABrgwNdWQ7W6swHOysrK0du1aDR48WH6/X+edd54GDhyo1157Ta+//roGDx6sJ554\nQn/84x+VmJio3/72t/L7/aW2cfPNN6tu3bpKTk5WZmamJkyYoGeeecaQYwIAu3F76JG8Wae4qhsA\nuMTq1au1bds2SVJycrKOHz+uqKiowKdk7dq1048//ihJ6tSpk7KysvTqq6+qqKhIZ511VqlttW7d\nWsnJyZKka6+9VuvXrzfxSAD34N49zsKIm7GsrlMEHwBwia+++krTpk2TJO3cuVMFBQW6+eab9eWX\nX0oqLjiNGzfW8ePHlZaWpsLCQu3YsUNr167VhRdeWGpbDz/8sDZt2iRJysnJ0e9+9ztzDwZwES5q\n4AxeGXGzktV1ilE3AHCJnj17atiwYerdu7eOHDmiZ599Vq1atdKQIUM0e/Zs1axZU2PGjFG1atV0\nww03qHv37vL5fBo+fLiioqK0du1aLViwQAMHDlTv3r316KOPqkaNGqpZs6ZGjRpl9eEBjkO3x3kI\nPcayuk4RfADAJeLi4jRu3Lgyj48fP77MY7169VKvXr1KPZacnBwYG2jVqpVmz55tzEIBD6Hb4wyM\nuJnD6jrFqBsAAAA8ixE37yD4AAAARBhjbs5C6PEGgg8AAIABGHOzP0bcvIXgAwAAEEF0e5yBETfv\n8UTwSU/PsXoJAADAQ+j2OAOhx1s8EXwAAACAEoy4eRPBBwAAIEIYc7M/Rty8i+ADAAAQQYy52R+h\nx5sIPgAAABFAt8f+clc1tHoJsBDBBwAAIELo9tgf3R7vIvgAAADA9bigAQg+AAAAVcSYm72VhJ6U\nlGMWrwRWIvgAAABEAGNu9saIGwg+AAAAVUC3x94YcUMJgg8AAEAV0e2xJ+7ZgxMRfAAAAOBahB6U\nIPgAAABUEmNu9sWIG07m+uCTnp5j9RIAAICLMeZmP4y4oTzRVi8AAFxpebYx2+3Z05jtAoDLEHpC\n8GCdIvgAgAFO75xqyHY3GrJVAJXBmJs9MeJWMV6sU64fdQMAADAKY272wogbToXgAwAAECa6PfZF\n6EEwBB8AAIBKoNtjL4y4IRSCDwAAAByNETdUBMEHAAAgDIy52ROhB6EQfAAAAMLEmJt9MOKGiiL4\nAAAAVBDdHnui24OKMDz4rF+/Xh06dNDMmTMlSV999ZV69eqlPn366I9//KMOHDhg9BIAAAiKOoVw\n0e2xD7o9CIehwaegoEAjR45UmzZtAo+NHj1af/7znzV9+nRdcsklysrKMnIJAAAERZ0CnIsLGiBc\nhgafuLg4TZkyRYmJiYHH6tevr927d0uS9u3bp3r16hm5BAAAgqJOIRyMudkPoQfhiDZy41FRUYqN\njS312JNPPqm0tDTVqVNHderUUXp6umH7T0/PMWzbAADns7pOwXkYc7MHRtxQGYYGn/KMHDlSkyZN\n0sUXX6yMjAzNnDlTaWlpp/yZ3NzcSu0rLy+vUj9n1/0YiWOwB47BDhpZvQBYrDJ1SrL3v307r62i\nrD6G3NxESflVWofVxxAJdjiG3FUNJeUrJeWY8vL2h/3zeXnbIr8oOILpwWfdunW6+OKLJUlt27bV\nnDlzQv5MSkpKpfaVlHSsUj8Xjry8PCUlJRm+HyNxDPbAMQD2UJk6Jcm2//bd8Lq0wzHEx9eoUrfH\nDsdQVXY5hvia8ZUeccvL26akpIYRXpHZNlu9AMcy/XLWp59+ujZs2CBJ+vbbb3XuueeavQQAAIKi\nTgH2xYgbqsLQjs/q1as1evRobdmyRdHR0Zo/f76ee+45Pf3004qJiVHdunU1atQoI5cAAEBQ1ClU\nBBc1sAeu4oaqMjT4NGvWTDNmzCjz+DvvvGPkbgEAqBDqFCqKixrYA6EHVWH6qBsAAAAQDkbcEAkE\nHwAAgCAYc7MPuj2oKtOv6gYAMMbhw4f15JNPateuXSosLNT999+v5ORkDR06VMeOHVNMTIzGjh2r\nBg0a6OWXX9by5cvl9/t13XXX6Z577il3m1lZWcrMzNSiRYtMPhrAPhhzsxbdHvewuk4RfADAJRYt\nWqTmzZurf//+2rJli/r166dLL71U3bt31/XXX6+ZM2dq2rRpuuWWW5STk6OsrCz5/X516dJFXbt2\nVYMGDUptb/fu3fr888/l8/ksOiLAWnR7rMcFDdzF6jpF8AEAl+jcuXPgz1u2bNEZZ5yhZ599VnFx\ncZKk+vXra82aNUpISFBhYaEKCwt1/PhxVatWTdWrVy+zvbFjx+qRRx7Ro48+atoxAHZDt8d6hB73\nsLpOEXwAwAhrso3ZboeeIZ/So0cPbd++XZMnTw4UiqKiIr399tsaOHCgGjZsqOuvv17t27dXUVGR\nHnzwQdWsWXqUZPny5apevbpatGghv99vyKEAwKkw4mYwD9Ypgg8AGKFjqmW7zsrK0tq1a5Wenq6P\nP/5YRUVFGjx4sFq3bq1WrVpp06ZNWrBggRYtWqTCwkL16NFDN9xwg+rXry9JOnr0qF599VW99tpr\nlh0DYDXG3KzFiJsJPFinXHtVt/T0HKuXAACmWr16tbZt2yZJSk5OVlFRkXbv3q2hQ4eqcePGevDB\nByVJ3377rVq0aKHY2FjVqlVL559/vn744YfAdtasWaNdu3bp3nvvVffu3bVz5049/vjjlhwTYCXG\n3KxF6HEfq+sUHR8AcImvvvpKW7Zs0bBhw7Rz507l5+frH//4h2JiYjRw4MDA884991xNnz5dUvGn\nZuvXr9fZZ58d+H6LFi00b968wNft27fXuHHjzDsQAJ7GiFv5sn8p/v/Qg2T2ZXWdIvgAgEv07NlT\nw4YNU+/evXXkyBENHz5ckydPVmFhodLS0uTz+dS0aVMNHz5cV1xxhXr06CGfz6du3brpzDPP1JIl\nS7R582b16NGj1Ha5qhu8hjE36zDidmqpV1m9gqqxuk4RfADAJeLi4sp84pWamlrucx966CE99NBD\npR678sory33uwoULI7I+wEkYc7MOoaeskm6P01ldp1x7jg8AAEC46PZYhxG38pWEHqd3e+yA4AMA\nAHACuj3WodtTGqEnsgg+AAAAsBTdnrIIPZFH8AEAABBjblbhggbBEXoii+ADAADwP4y5WYPQU5pb\nLmZgNwQfAAAAWIIRt7IYcTMOwQcAAHgeY27mY8StLEKPsQg+AAAAYszNCoSeXxF6jEfwAQAAnka3\nx3yMuJWP0GMsVwaf9PQcq5cAAAAchG6P+ej2/IqLGZjDlcEHAAAA9kS3pzRG3MxD8AEAAJ7FmJu5\nuKBBaYQecxF8AACApzHmZi5CTzFCj/kIPgAAADAcI25lEXrMRfABAACexJibeRhxK42LGViD4AMA\nADyLMTfzEHqKMeJmHYIPAADwHLo95mHE7VeEHmsRfAAAgCfR7TEP3R5Cjx1EW70AAHCljdnGbDe5\npzHbBQAD0O0pzVahx4N1iuADAEZonWr1CgAEwZibObigwa9seTEDD9YpRt0AAIDnMOZmDkIPI252\nQvABAABARDHiVozQYy+uCz7p6TlWLwEAANgUY27GY8StGKHHflwXfAAAAE6FMTfjeT30lCD02AvB\nBwAAeALdHuMx4lbMlhczAMEHAAB4B90e43m928OIm30RfAAAAFBldHsIPXZH8AEAAK7HmJuxuKDB\nrwg99kXwAQAAnsCYm7G8Hno4r8f+CD4AAACoNEbcGHFzCoIPAABwNcbcjOflbg+hxzkIPgAAwPUY\nczOG17s9hB5nIfgAAADXottjHC5oUIzQ4xwEHwAA4Gp0e4zj5dDDxQych+ADAACAsDDiVvz/dHuc\nxVXBJz09x+olAAAAm2DMzRheH3Ej9DiXq4IPAADAiRhzM4ZXQ08JQo8zEXwAAABQIYy4Wb0CVEW0\n1QsAAERORkaGVq5cqePHj2vAgAGqV6+eXnrpJUVHRys+Pl5jx47VypUrNWXKFPl8Pvn9fn3//ff6\n7LPPdPrpp5fZ3rhx4/T1119rxowZFhwNUHmMuRnHq90eRtwiw8o6ZXjwWb9+vR588EHddddd6t27\nt44dO6YhQ4Zo48aNqlWrll599VUlJCQYvQwAcL2cnBxt2LBBWVlZ2rt3r7p27aoGDRpo3LhxOvfc\nc/X6668rKytL9957r66++mpJ0saNG5WRkVFuMdmwYYNWrFihmJgYsw/FVNQp92LMLbJyVzVUvEcb\nPoSeyLC6Thk66lZQUKCRI0eqTZs2gcfeffddNWjQQLNmzVLnzp21YsUKI5cAAJ7RsmVLjR8/XpJU\nu3Zt5efnq06dOtq9e7ckad++fapXr16pn5kwYYIGDhxY7vZGjx6txx57zNhFW4w6BVSMly9oQOiJ\nHKvrlKEdn7i4OE2ZMkWZmZmBx7744gs9/PDDkqQ77rjDyN0DgHX2ZBuz3do9g37L5/OpevXqkqRZ\ns2YpNTVVAwYMUFpamurUqaM6deooPT098Pzt27dr165dSk5OLrOtDz74QK1atdKZZ54Z+WOwEeqU\nOzHmZoyUlGNWL8Eyrgw9HqxThgafqKgoxcbGlnps8+bNWrx4sTIyMpSYmKhnn31WtWvXNnIZAGC+\n5qnGbHd/6KcsWLBA77//vqZOnaqHHnpIkyZN0sUXX6yMjAzNnDlTaWlpkqQPP/xQN910U5mf37dv\nn95//3298cYb2rp1q/x+f6SPwjaoU+7FmFvkePmCBq6+mIEH65TpFzfw+/1q0qSJBg4cqNdee02T\nJ0/WE088ccqfyc3NrdC28/LyIrHEsFm130jiGOyBY7CDRlYvoEqWLFmizMxMTZ06VbVq1dK6det0\n8cUXS5Latm2rOXPmBJ6bnZ2tl19+ucw2/vWvf2nPnj3q3bu3jhw5ok2bNmn06NF68sknTTsOK1Wm\nTkn2/rdv57VVVDjHkJ+faMtjtuOaKiL/UMNAtycvb5vFq6m6ih5D7q7ic/tSLj0gh/7V2ZKVdcr0\n4HPaaafp8ssvlyS1a9dOEydODPkzKSkpFdp2UpL5Ldi8vDwlJSWZvt9I4hjsgWNAVR08eFBjx47V\nG2+8ETgZ//TTT9eGDRvUpEkTffvttzr33HMDz9+0aVO5f1+dOnVSp06dJBV3P4YOHeqZ0CNVrk5J\nsu2/fTe8LsM5huzsGoqPt9/fh1P/HrKX1FR8TSkpKV55eduUlNTQ6iVVSUWPIfsXKb5myYib3Tpe\nm61eQKVZXadMDz5XXXWVvvzyS916661avXq1GjdubPYSAMCV5s6dq71792rQoEHy+/3y+Xx65pln\n9PTTTysmJkZ169bVqFGjJEl79+4tM771wQcfKCEhQdddd50Vy7cN6pTzMeYWGV6+oIHk0vN6LGZ1\nnTI0+KxevVqjR4/Wli1bFB0drfnz52vcuHEaOXKkZs+erZo1a2rMmDFGLgEAPKNbt27q1q1bmcff\neeedMo+Sg0sRAAAgAElEQVTVrVtXn376aanHunbtWuZ5jRo10vTp0yO3SJuhTrkLFzWIPC+GHlef\n12Mxq+uUocGnWbNm5d5MqOQydgAAWIk65T50eyLDqxc04NLV7mbofXwAAADgTF7r9hB63I/gAwAA\nHI8xt8jxYreH0OMNrgk+6ek5Vi8BAABYiDG3qvPyBQ0IPe7nmuADAACAqvNa6OFiBt5B8AEAAI7G\nmFtkMOIGtyP4AAAAx2PMLTK81O0h9HgPwQcAAMDjvNjtkQg9XkPwAQAAjsWYW9V58YIGnNfjTQQf\nAADgaIy5VZ0XQw/dHu8h+AAAAEei21N1Xhtxy92VIInQ41UEHwAA4Fh0e6rOS90eidDjZQQfAAAA\nD/Jat8cN5/Vk77R6Bc5G8AEAAI7DmFvVeO2CBiWhJ+XSA9YupAoIPVVH8AEAAI7EmFvVeC30OHnE\nrST0pF5i7TqcLmTwKSws1MyZM/Xiiy9Kkv7973/ryJEjhi8MAICKoE4B4fHSiBuhBycKGXxGjBih\njRs3KicnR5K0evVqPfnkk4YvDACAiqBOeQ9jblXnlW6PROjBr0IGn59++klDhw5V9erVJUm9evXS\n9u3bDV9YONLTc6xeAgDAIk6oU4g8xtwqx4vdHqci9ERedMgnRBc/xefzSZLy8/N1+PBhY1cFAA7n\nP5Zt0JZ7GrRd56JOARXjpQsaOH3EzYzQ48U6FTL4XH/99erbt6/++9//auTIkfryyy/Vq1cvM9YG\nAM51bqox211jzGadjDrlLYy5VQ2hx/5M6/R4sE6FDD533nmnWrRooeXLlys2NlYvvfSSLrzwQjPW\nBgBASNQp72HMLXxeGnGTCD0oX8hzfJYtW6ZDhw6pWbNm+u1vf6sDBw5o2bJlZqwNAICQqFNAxXip\n2+NkhB7jhOz4TJo0KfDno0eP6scff9Sll16qNm3aGLowADBbdnYN9ex51OplIEzUKe9gzK1yvNLt\nccuIG4wTMvjMmDGj1Ne7du3SuHHjDFsQAFiBX6icizrlLYy5hccrFzRwS+ih22OskKNuJ2vQoIF+\n+uknI9YCAJYoCT38QuUO1CmgNLeHnhKEHoQSsuMzePDgwCVCJWnr1q2Kigo7LwGALRF6nI865Q10\nZcPntRE3JyL0mCtk8Gnbtm3gzz6fT7Vq1dIVV1xh6KIAwAyEHnegTnkHr9Xwub3b4+QRN0KP+YIG\nn02bNkmSLrvssjLf27lzp84++2zjVgUABiP0OB91CgjOC90eQg/CFTT49O3bVz6fT36/v8z3fD6f\nFi5caOjCAMAohB53oE55R25uouLd3biIKK9c0EAi9CA8QYPPokWLgv5Qbm6uIYsBAKMRetyDOuUt\nvGbD4/bQ49Tzegg91gp5js/Bgwf10Ucfac+ePZKK75Hw3nvvaenSpYYvDgAiidDjTtQpdyt+3eZb\nvQzHYMTN/gg91gl52ZtBgwZp3bp1ev/993Xo0CF98cUXGjFihAlLA4DIIfS4F3XK/VJSalm9BEdx\nc7fHyaGHG5RaL2TwOXLkiP70pz+pUaNGGjJkiKZPn6558+aZsbYKSU/PsXoJAGyO0ONudq9TgFm8\n0O2RnB166PZYK2TwOXr0qPLz81VUVKQ9e/aobt26gSvpAIDdEXrcjzrlXty7J3xe6PY4DaHHPkKe\n43PzzTfr3Xff1R133KHOnTurfv36Ovfcc81YGwBUCaHHG6hT7paaeoby8vKsXobtub3b49QRN0KP\nvQQNPoWFhYqNjVXPnj0Dj7Vp00a7du3S73//e1MWBwCVRehxP+oUUMztl68m9CBSgo66XXnllXru\nuef0/fffBx5LSkrSBRdcIJ/PZ8riAKAyCD3eQJ1yN8bcwuPW0FOC0INICBp8PvroIzVs2FDp6em6\n5ZZb9NZbb2n//v1mrg0Awkbo8Q7qlPvxOg7NKyNuTkLosa+gwadhw4a67777NHfuXP3pT3/STz/9\npBtvvFGPP/64li1bZuYaAaBCCD1SRkaGevTooTvuuEOff/554PElS5YoOTk58PXatWt122236fbb\nb9ekSZPKbGfVqlXq1auX+vTpo3vvvTdwjxw7oU4Bxdza7XHqiJtE6DkVK+tUyKu6SVKLFi00fPhw\nffjhh5Kku+++uyI/BgCmIfRIOTk52rBhg7KysvR///d/GjVqlKTic2EyMzOVmJgYeO7w4cP1wgsv\naPbs2dqwYYOOHDlSaltvvvmmxo4dq+nTp+uiiy7SrFmzTD2WcFGn3IUxt4pxc7fHqaGHe/WcmtV1\nKmTwKSoq0uLFi/XII4+oa9euOu200/TRRx+Fe5wAYBhCT7GWLVtq/PjxkqTatWuroKBAfr9fkydP\n1p133qmYmBhJ0q5du1RQUBD4ZG3cuHGKi4srta1XXnlFjRo1kt/v1/bt25WUlGTuwYSBOuVOXn89\nh+L2CxpIzg09dHuCs7pOBb2q27p16/TBBx/o008/1fnnn6/bbrtNL774YmBBAGAHdg09B7XcoC33\nDPodn8+n6tWrS5JmzZqlq6++Wr/88ovWrVunhx9+WGPGjJEkbd68WbVr19bQoUP1yy+/qFOnTurb\nt2+Z7S1ZskQjR45U06ZNdfPNNxtzOFVAnYLXuTX0cF6PObxYp4IGn/vvv1+33Xab3n33XZ1xhr1+\noQAAyb6hR5IOxHexbN8LFizQ+++/r6lTp+rxxx/X008/Xer7fr9fmzdv1muvvabY2Fh1795d7dq1\nU5MmTUo978orr9T8+fP14osv6vXXX9d9991n5mGERJ1yJ8bcQmPEzV6cGHokb9apoKNuCxcu1IMP\nPkgxAWBLdg49VlqyZIkyMzM1ZcoUHTp0SD///LMGDx6s7t27a8eOHUpLS1ODBg3UtGlT1a5dW9Wr\nV1dKSop++OGHUttZsGBB4M8dO3bUypUrzT6UkKhT7sXrOjQ3dnsIPd5gZZ0K2vHhHggA7IrQU76D\nBw9q7NixeuONN5SQkKCEhAT9/e9/D3y/ffv2mjFjhiTp0KFD2r9/v2rVqqU1a9aoe/fupbY1YcIE\nnXXWWUpOTtY333yjxo0bm3osFUGdghe5udsjEXrczuo6FTT4AIAdEXqCmzt3rvbu3atBgwbJ7/fL\n5/MpIyNDDRs2lFQ6KAwdOlT33HOPoqKidOWVV+r888/X2rVrtWDBAg0cOFCjRo3SiBEjFBMTo7i4\nOGVkZFh1WPAQxtwqxs3dHqcg9FSO1XWqQsFn/fr12rhxo6677jrt379ftWvXruThRlZ6eo7VSwBg\nIkLPqXXr1k3dunUL+v2FCxcG/tyiRQu9++67pb6fnJwcuIJOs2bNlJWVZcxCDWDXOoXw8foOzq3d\nHieOuEmEnsqwuk6FDD5vvPGG5syZo8LCQl133XWaNGmSateurQceeCCsHQFAJPBLEU5GnYIXuPXy\n1U4MPdyrx7lC3sdnzpw5evfdd1WnTh1J0hNPPKHs7Gyj1wUApTACg2CoU+7Aazw0t4WeEk4MPXR7\nnClk8KlZs6aion59WlRUVKmvAcBojLjhVKhT7sFrvHxuH3FzCkKP84UcdTvnnHM0ceJE7d+/X3//\n+981d+7cMtfQBgCjEHoQCnUKXuC2bo/TRtwIPe4Q8iOx4cOHq0aNGkpKStLHH3+siy66SM8++6wZ\nawPgcYQeVAR1yvkYcwvOjd0eQg+sEjL4xMTEqH///srMzNTEiRPVr18/xcbGVngH69evV4cOHTRz\n5sxSjy9ZsiRwVQYAOBmhBxVFnXIHXuvBua3bIxF6YI2go27JyclBbw5XrVo1fffddyE3XlBQoJEj\nR6pNmzalHi8sLFRmZqYSExPDXC4ALyD0oCKoU3A7N3d7nMROoSf7qNTT6kU4WNDgs3r1avn9fk2e\nPFnnn3++WrdurWPHjmnZsmX6+eefK7TxuLg4TZkyRZmZmaUenzx5su68805uiAegDEIPKoo65Q6M\nuZXPjZevduqIm11kH7V6Bc4XdNStWrVqio6OVk5Ojjp06KCEhATVq1dPnTt31qpVqyq28aioMuMG\nP//8s9atW6dOnTrJ7/dXbfUAXIXQg3BQp9yD13z5CD3WsduIW0noSeW6LVUS8qpuBQUFysrKUkpK\niqKiorRy5Urt3r270jscPXq0nn766bB+Jjc3t9zH8/LyKr2OSLLLOqqCY7AHLx9Dbm6ipHylpNRy\nxX8HmMcOdUqy9+vXzmvLz0+s0PrsfAwVVdFjyF3VUFK+8vL2G7ugSsjL21apn8s/lKCUSw/IDn+N\noY4h90iCJCmlqT3Wmxv3v/Uk/W89p1m7HicLGXzGjh2riRMnBk76bNKkSaVb/3l5efr55581ePBg\n+f1+7dixQ2lpaZoxY8Ypfy4lJaXcx5OSjlVqHZGUl5enpKQkq5dRJRyDPXj5GLKzayg+3i6f+m60\negEIkx3qlCTbvn7t/N5S8toPtT47H0NFhXMM8TXjbdntycvbpqSkhmH/XPYvUnxNKSnJ+nOWQh1D\n9k4V16NLJMn69WYfleJV0un533qOb7ZwRc4WMvg0btxY48aNK/XY9OnT1bRp07B3lpSUpL///e+B\nr9u3b1+hYgLAvRhvQ1VRp5yN135pbruggZNG3Bhvc7+QwWfNmjWaPHmy9uzZI6n4Sjfbtm1Tnz59\nQm589erVGj16tLZs2aLo6GjNnz9fEydOVO3atSUp6NV4AHgDoQeRQJ2C29ix21MVhJ7wEXqMETL4\nPPfcc0pLS1NmZqYeffRRffbZZ3rssccqtPFmzZqd8pOyhQsXVnylAFyF0INIoU45E1dzK8ut3R67\nI/R4R8gbmFavXl1dunRRQkKCUlNT9cILL2jq1KlmrO2U0tNzrF4CgEoi9CCS7FqnEBrvAb9y2+Wr\nnTTiJhF6vCJk8Dly5IjWr1+vuLg4LV++XPv27dPmzZxUBaByCD2INOoU3ILQYz473auH0GO8kKNu\n6enp2rRpkx5++GE98cQT2rVrl+69914z1gbAZQg9MAJ1ynkYcyvNbSNukrNCjx26PYQec4QMPjVq\n1AhcTnr+/PmGLwiAOxF6YBTqlDPxXlCa27o9dkfo8aaQwWf06NGaPn26GWsB4FJeDD3b9Z1BW77O\noO06F3UKTuambo9TRtwIPcW8WKdCBp8zzzxTaWlpuuiiixQTExN4/JFHHjF0YQDcwYuhR5L8utbq\nJXgGdcpZGHMryw3dHqeEntwjCSfcoNRaVnd6vFinQgafs846S2eddZYZawHgMl4NPTAXdcp5eE8o\n5qZuj2T/0EOnB0GDz8cff6ybbrpJAwcONHM9AFyC0AOjUafgZG66fLVTzuuRpJSmByRZGzgJPdYJ\nejnr2bNnm7kOAC5E6IGRqFPOw5hbaW4KPU7p9liN0GOtkPfxAYBw8csNgGD4QMQ9I25OCz1Wj7gR\neqwXdNRt1apVSk1NLfO43++Xz+dTdna2gcsC4FSMuMEs1Ck4mRu6PRKhp8LrIPTYQtDgc8EFF+il\nl14ycy0AHC43N7H4ajmEHpiAOuUsdIKLua3bY2d2CT0lCD3WCxp8YmNj1ahRIzPXAsDBin+pySf0\nwDTUKefh/aGY07s9Thhxs1PoKen2wHpBz/Fp0aKFmesA4GAln+SmpNSyeCXwEuoUnMYt3R7J3qGn\nhJ1CD90eewgafAYPHmzmOgA4FOf0wCrUKedgzE3KXdVQknu6PXbGFdwQjCOv6paenmP1EgCI0AOg\n4nifcH7oyd2VIMne3R67jLgReuwpaPA5fvy4JOnYsWOmLQaAcxB6YDXqFJzCDSNunNcTxjoIPbYV\nNPj07t1bknT33XebthgAzkDogR1Qp5yBMbdiKSnOD+gplx6weglBEXpQEUGv6ubz+dSuXTvt27ev\n1H0SuD8C4G2EHtgFdco5vPx+4aZuj10RelBRQYPPzJkzlZeXp2HDhmnkyJFmrgmATRF6YCfUKThF\n6tXxysvbb/UyKuXEEbe8PGvXUh5CD8IRdNQtKipKZ5xxhv7617/K7/dr9erV+v777+Xz+bhvAuBB\nhB7YDXXK/rw+5uaGbo9k7/N6JEIPKi7kVd2ysrLUp08fzZkzR5988onS0tL0wQcfmLE2ADZB6IGd\nUafszevvG06+kptTRtwsXQOhx1GCjrqV+PDDDzVv3jzFxcVJkvLz89WvXz917drV8MUBsB6hB3ZH\nnYIdOb3bY/eruNlhxM3s0JMd55ck9cw3Z39uFLLjEx0dHSgmkhQfH6+YmBhDFwXAXgg9sDPqlD15\necytJPQ4tdtD6KnAGiwKPamJ5uzPrUJ2fBo2bKjnn39ebdu2lSQtXbpUZ5zBL0GAF3j5FxenysjI\n0MqVK3X8+HENGDBAzZs31+DBg+X3+3X66acrIyNDMTExatasmVJSUgJXQHvzzTfl8/kC21m1apXG\njh0bCBUZGRmqV6+ehUcWHHXKvrz8oYlTQ08JQs8p1kDoqRIr61TI4PP8889rxowZev/99+Xz+XTR\nRRcpLS2t6kcNwNYYcXOenJwcbdiwQVlZWdq7d6+6du2q1q1b684771SnTp308ssv67333lOPHj1U\nu3ZtTZ8+Pei23nzzTY0dO1aNGjXSxIkTNWvWLA0YMMDEo6k46hTsxC0jbnZE6HE+q+tUyOBTo0YN\n2xY7AMYg9DhTy5YtddFFF0mSateurfz8fH311Vf605/+JEm65pprNG3aNPXo0UN+v/+U23rllVck\nFd8TZ/v27UpJSTF28VVAnbIfr3eLndrtsfuIm0TocTqr61TI4APAWwg9kfEf/WzIds9R86Df8/l8\nql69uiRp9uzZSk1N1dKlSwPnuzRo0EA7duyQJB05ckTp6enasmWLOnbsqLvuuqvM9pYsWaKRI0eq\nadOmuvnmmyN/MHA1L76HOL3bI9k39Fh9BTc3hh4v1imCD4AAQk/k1FBry/a9YMECvffee5o6dao6\nduwYePzET8+efPJJ3XTTTZKk3r176/LLL1ezZs1KbefKK6/U/Pnz9eKLL+r111/XfffdZ84BAA7m\n9G6PHVk94ubG0CN5s06FvKqbJB08eFCStHPnTq1YsUJFRUUVOyoAjkHocYclS5YoMzNTU6ZMUa1a\ntVSzZk0VFhZKkvLy8pSYWFxJu3fvrho1aqhGjRpq06aN1q9fX2o7CxYsCPy5Y8eOWrlypXkHUQnU\nKfvw6pibk7s9dh5xszr0lHBb6LGSlXUqZPB5/vnnNW/ePO3du1c9evTQjBkzNGLEiHCOD4DNEXrc\n4eDBgxo7dqwmT56shIQESVKbNm00f/58SdL8+fN15ZVX6ueff9bjjz8uSTp27JhWrlyppk2bltrW\nhAkTtHbtWknSN998o8aNG5t4JOGhTtmPV99LnNjtIfSEWMNRE/flgdBjdZ0KOer2/fff65lnntE7\n77yjrl276sEHH1Tfvn3DO0oAtkXocY+5c+dq7969GjRoUODyn2PGjNFTTz2lv/3tbzrzzDPVtWtX\nVatWTWeeeaZuv/12VatWTddee62aN2+utWvXasGCBRo4cKBGjRqlESNGKCYmJnCZULuiTsFqTu72\nSISeoGswccTNC6FHsr5OhQw+JbN22dnZGjRokCQF2lFWSE/PsWzfgNsQetylW7du6tatW5nHp02b\nVuaxkk/STpScnKzk5GRJUrNmzZSVlRX5RRrAbnXKy7w45ubkm5Xa9bweQo97WV2nQo66/eY3v1GX\nLl106NAh/f73v9eHH36oOnXqhLUTAPZD6IFbUKfsxYvvKU4OPXbs9kiEHhgjZMfniSeeUF5enpo0\nKf7bb9q0qR5++GHDFwbAOIQeuAl1ClZhxC3yvHTZakKP+U7Z8SkqKtIjjzyi5ORkRUdHq6ioSL/9\n7W81ZMgQs9YHwCCEHrgBdco+vDjmJjm722M3Vo+4EXrcL2jHZ86cOZowYYJ++eUXXXDBBYEZ6qio\nKLVr1860BQKILK/+cgL3oU7Zj5c+UHFqt8euI26EHpghaPC58cYbdeONN2rChAl66KGHzFwTAIMw\n4gY3oU7Bak7r9hB6guyf0OMZIc/xGTBggBYsWKB9+/aVupvq7bffbujCAEQWoQduRZ2C2Zza7ZEI\nPWX2T+jxlJDB55577pHP51OjRo1KPU5BAZyD0AM3o05Zz4sjtE7t9tgRoQdmCRl8jh496ph7OQAo\ni9ADt6NO2YNX3mOc2O2x+4ibJfsm9HhSyPv4NG3aVHv27DFjLQAijNADL6BOwWxO6/ZI9g09VnR7\nCD3eFbLjs23bNnXs2FFNmjRRtWrVAo/PnDnT0IUBqBpCD7yCOmUtL425ObnbYydWhp7cuATFi9Dj\nVRW6uAEAZyH0wEuoU9bz0nuNk7o9dhxxo9MDKwUddfv+++8lScePHy/3fwDsidADr6BOwUzZS2o6\nKvSUsFPoKWHVxQwkKSXpgOH7IPTYV9COz0cffaQLLrhAkyZNKvM9n8+nNm3aGLowAOEj9MBLqFPW\n88qYGyNukWGHixkYvh8DQ8/q+K2R36jHBA0+Q4cOlSTNmDHDtMUAqDpCD7yCOmUPXnnPcVK3hxG3\nk/Z9wohbXp6B+zEh9KR647MGw4S8qtuGDRvUp08fXXrppUpJSVH//v21ceNGM9YGIAxe+eQVOBl1\nCkZyWreH0HPSvk06r4fQ4wwhg8/zzz+vu+++W0uXLtWXX36pHj166NlnnzVjbQAqiBE3eBl1yhpe\n+rDFSd0eidAT2DehBycJGXz8fr9SU1MVHx+vmjVrqkOHDpadNJqenmPJfgE7I/TA6+xUp7zG7e87\nTu322AWhp2oIPZEXMvgcPXpUq1evDnz9zTffhFVQ1q9frw4dOgTup7B161b169dPaWlpuvvuu7Vr\n165KLBuAROgBJOoUjOWUbo8dR9wkQk9lEXqMEfI+PkOGDNHjjz+u3bt3S5JOP/10jRkzpkIbLygo\n0MiRI0tdWWf8+PHq0aOHOnXqpJkzZ2ratGkaPHhwJZcPeBehx95Wy5gzaFPF9VFPRp0ynxfG3JzW\n7ZHsFXqsuoIboSeM/XiwToUMPhdddJE+++wzHThwQD6fT7Vq1arwxuPi4jRlyhRlZmYGHhsxYoTi\n4uIkSfXr19eaNWsqsWzA2wg99tdAFxm05SKDtutc1ClreOH9x2ndHruwasSN0BMeL9apoMHn4MGD\nmjRpkn766Sddfvnl6tu3r6KjQ+akUqKiohQbG1vqserVq0uSioqK9Pbbb+vBBx+sxLIB7yL0AMWo\nUzCKk7o9dhtxI/RUHuNtxgtaIUaMGKHExER1795df//73zVx4kQNGjQoIjstKirS4MGD1bp1a7Vu\n3Trk83NzcyVJeUZefL0K7LqucHAM9hDqGHJzEyXlKyWllm2P167rgvvYqU5J9v63H8m1lbwPmX28\nZu4v/1BDpaQcU17e/ohuNy9vW0S3J0n5hxKUcukBQ+9Pc6JTHUPukQRJUkpT89YjSblx/9tvUsX2\nW9m/h9zTakn5UkqNgxE/vo1JB4q3ffSg8vZFdtv4VdDgs3nzZr344ouSpKuuukp33XVXxHY6dOhQ\nNW7cuMKfoqWkpEiSkpKORWwNkZKXl6ekpCSrl1ElHIM9VOQY4uNr2LrT44a/B4n7vziFneqUJNv+\n24/069KK9yEz31uyl9RUfE0pKSmyY255eduUlNQwotvM/kX/W6s5HapTHUP2Tik+vqTTY17HLPuo\nFK+STk/o/Vb27yE7zl+8n8SK7Sccq+O3Kl41/9fpqcC2N2+N6P69JGjwOXFcoFq1ahHb4ccff6zY\n2FgNHDgwYtsEvMALJxMD4aBOwShOOLfHbiNuEuNt4SoZbZMYbzNL0ODj8/lO+XVFrF69WqNHj9aW\nLVsUHR2t+fPna/fu3YqNjVVaWpp8Pp+aNm2q4cOHh79ywEM4rwcoizqFSHPKuT12Cz1WXcFNcn7o\nIfCYK2jwWbVqlVJTUwNf79q1S6mpqfL7/fL5fMrOzg658WbNmmnGjBmRWCfgWYQeoHzUKfO5ufNc\nEnqc0O2R7Bd6rOr2GLoPQo/rBA0+n332mZnrAFAOQg8QHHXKGm5+P3JC6LHTpautDj1GdnsIPe4U\nNPg0atTIzHUAOAmhBzg16hQihRG38BF6wkfosV6U1QsAUBahB4DduHnMTXJGt0eyR+gpQeipOEKP\nPRB8AJsh9ACwKze+Lzmt22MHVlzMgNCDSAgZfPbt26cffvhBkrRkyRL95S9/0Y4dOwxfGOBlbvzl\nAjAKdQpVZfduj9dH3Ag9xX7RT/pFP1V9Qx4WMvgMHjxY27dv13/+8x+NHj1adevW1VNPPWXG2gDP\ncfsoCWAE6pTx3Pre5JRuj2SP0JN7JEESoaeiIh16JKmliTeHdaOQwaegoEBXXHGFPvvsM915553q\n3bu3jh414RqCgMfk5ha/49LtAcJDnTKHW9+bnNLtsRqdnvAQeuypQsFn9+7dmj9/fuD+CPv27TNj\nbaWkp+eYvk/ALJzXA1SeXeoUnMUJ3R47jbhJUkrTA6bti9BTjNATWSGDzx/+8Ad17NhRrVu31hln\nnKG//OUvatWqlRlrAzyhJPSkpNSyeCWAM1GnUFl27/ZI9gg9Zl/MgNBTjNATeUHv41Oib9++6tu3\nb6mvExISDF0U4BUndnry8vIsXg3gTNQpY2Vn13BdN9pJ3R6rnTjiZmaZIvQQeowQNPiMHDlSTz/9\ntHr16iWfz1fm+zNnzjR0YYDbMd4GVA11ClVh526PXUbcrDyvxyi5p9VSvAg9XhU0+Nx+++2SpEGD\nBpm2GMArCD1A1VGnUBlO6PZI3g49RnV7suP8Ur59Q8+Jl6om9Bgj6Dk+ycnJkqTzzz9f9erVU8uW\nLXXkyBF99dVXaty4sWkLBNyK0AMjrF+/Xh06dAh0O44dO6bHH39cd9xxh/r166cDB0qfnPzYY49p\n6NChZbazbds29evXT2lpabr77ru1a9cuU9YfDuqU8dx6GWsndHvswHWhR1JKjYMR3W6kQ09L1XR9\n6Pf/L8wAACAASURBVLGyToV1H58xY8ZwfwSgitz6iwSsV1BQoJEjR6pNmzaBx9599101aNBAs2bN\nUufOnbVixYrA9/7xj3/ov//9b7nbeuWVV9SjRw/NmDFD1157raZNm2b4+iuLOmUsN31IY/duj91G\n3Ezbn0mhJ5KdntXxWw0JPW5ndZ0K6z4+vXv35v4IQBUw4gYjxcXFacqUKUpM/LW6f/HFF/rDH/4g\nSbrjjjt0zTXXSJIKCws1efJk3X///eVua8SIEerYsaMkqX79+ra+PDR1CuGwc7dHsk/oMavb49TQ\nIxUHHkJPeKyuUyGv6nbi/REmTZrE/RGASiL0eMtyHTJku80VvMpGRUUpNja21GObN2/W4sWLlZGR\nocTERD377LOqXbu2MjMz1bNnT9WsWX6xrV69uiSpqKhIb7/9th588MHIHUSEUaeM4bbutFO6PZau\ngdATkpsuYuDFOhUy+JTcH+GOO+7QGWecoYkTJ3J/BCBMhB7vOVfnGbTlrWE92+/3q0mTJho4cKBe\ne+01TZ48Wd27d9d3332ngQMHKicn+M2hi4qKNHjwYLVu3VqtW7eu6sINQ50yjtves+za7bHDiBuh\nJzQ3hR7Jm3Uq7Pv49OnTR8uWLavgoQAg9MBKp512mi6//HJJUrt27TRhwgQtXrxYW7duVY8ePXTg\nwAHt2bNHU6dOVf/+/Uv97NChQ9W4cWNbd3sk6hRCs3O3xw6hpwShJzi3hR47MbNOhQw+W7Zs0Vtv\nvaU9e/ZIKp63y8nJUadOncI9LsBzCD2w2lVXXaUvv/xSt956q1avXq3zzjtPffr0UZ8+fSRJy5cv\n1wcffFCmmHz88ceKjY3VwIEDrVh2WKhTkeemMbeS0GPXbo9kfegx82IGhB5Cz8nMrFMhL27wxBNP\nqG7duvr666914YUXas+ePcrIyAjzkADvIvTALKtXr1ZaWpo++OADTZ8+XX369NEtt9yixYsXq1ev\nXlq4cKEGDBgQ9OfXrl2riRMnSpLefvvtwPb69OmjP/3pT2YdRtioU8Zw03uXXUOPF8/rkQg9lQ09\nu/Rv7dK/q74QC1ldp0J2fKpVq6YBAwZoyZIl6t27t26//XY99thjatu2bRiHCXiPmz4xhTM0a9ZM\nM2bMKPP4+PHjg/5My5Yt1bJlS0nF98UpuTdOVlaWMYs0AHUKwTDiFmINFp3XY8i2bRx6InFj0pLA\n00xJVVuMxayuUyE7PkeOHNG2bdvk8/m0adMmRUdHa/PmzWHvCPASRtwA81CncCp27fZI3gw9RnR7\nnBB6qnJjUreEHjsI2fG55557tGzZMvXv318333yzqlWrphtvvNGMtQGOROgBzEWdiiy3dKud0O2x\nGqGnfHa6MSmhJ7JCBp/rrrsu8Ofly5fr0KFDqlOnjqGLOll6evDL2AF2QugBzGeHOuU2bnkPs2O3\nx04jbqbsi9BTqZ8/8VweQk/knHLUbe3atdq5s/jVMXPmTD300EOaNm2aDh8+bMriACch9ADmo06h\nPHbu9kj2CD1mdHsIPVUfbSP0RFbQ4DNu3Dg98sgj6t69u15//XV9/fXXuv3221VYWKjhw4ebuUbA\n9gg9gPmoU5HnljE3yd7dHsv2T+gJyo6hB5EXdNTtX//6l+bNm6c9e/aoS5cuWrp0qaKjo3Xttdeq\nR48eZq4RcARCD2Au6pQxnP5eZtduT+6uBMXXtK7bQ+gJjtDjHUE7PjVq1FBUVJQaNGigpk2bKjr6\n14wUExNjyuIAJ3DTJ6SAk1CnEIwduz2S9TcqJfSURejxlpCXs5akqKjST/P5fIYsBnAaRtwAe6BO\nQbJvt8cuI25mMeoGpRKhB1UTdNRt1apVSk1NlSTt2rUr8Ge/3689e/aYsTbA1gg9gLWoU5Hllu61\n3bo9JaEn5dIDUhUua1zp/Vsw4mbItv/X7YmUSISeqt6YlCu3mS9o8Pnss8/MXAfgKIQewHrUqchz\n8nuaXbs9UvGIW16e+fvlvJ7yRTL00OVxlqDBp1GjRmauA3AMQg9gD9QpnMyu3R5L9k3oKdfGpAOK\nV01Hhp4C/et/f7qpUvtFBc/xAVCM0APAjZw+5mbHbo8dblRK6CnNyZ2ektDzGzWu1H5RjOADhInQ\nA8CNnP7eZrduj2T9pasN348DQ0/K0YOV3gahx/mCjrqdaO3atdq7d6/8/l9PLGvTpo1hiwLsyOmf\niAJuRp3yLjt3eyzZt0kjbk4MPak1pLx9ldsGoccdQgafhx56SGvXrlXDhg0Dj/l8PgoKPIURN8C+\nqFNV44YPdezU7bFyxI3QUxbjbThRyOCzefNmff7552asBbAlQg9gb9SpqnPq+5sduz0SoafS245g\n6CkJPJJ1oaeyl6v+9SIGhJ5IC3mOT+PGjVVYWGjGWgDbIfR4i11/icKpUae8zY7dHquYcTEDyTmh\nJ7WG9aGnmZIqFXp+o8aEHgOE7PhERUWpS5cuatGihapVqxZ4PCMjw9CFAVYj9HgHgcfZqFPeZNfX\nrZXdHqPlxiXIiJhpVOipikiFnnAw2ma8kMGnbdu2atu2rRlrAWyH0ON+Jb88RfpT4+yCiG4u4Dpj\nNuto1KnKc/r5PXR7nD/iRugpZkXo8WKdChp8tm/frsTERF122WVmrgewBaf/MoCKMSr0SFKzfKNC\n89bQT/EI6lRkOPEDHrt1e6y6oIHZoScl6YBUyRP8y92uzUJPSeCR3B96JG/WqaDBZ8yYMRo3bpz6\n9u0rn89X6hKhPp9PCxcuNGWBgNkYcXO/E39pstMnxggPdcrb7PbateqePWZ2evLyIrhdm4YeM6/c\nVpmLGPi0UFLzsNaGXwUNPuPGjZMkLVq0yLTFAFYj9LifkV0emIs6VTVO7Wzbtdtj+n5NOK/HK+Nt\nVoaecLo8xaEHVVGhG5gCXkDocT9CD1CaU9/v7PIadvOIG6EntKperroyoSdRF9p4kMz+CD6ACD1u\nx2gb4A526/ZIhJ6wtuvC0GP0+TwndnkSdWFY+0JZIe/js2HDhjKPff3114YsBrASocedTuzyEHrc\niTrlLXZ5HVsx4mbWxQwkQs+pmB16EnUhoSdCggaf/fv3a+PGjRo2bJg2bdoU+N9PP/2kIUOGmLlG\nwFBOnXNHaIy2uRt1qvKc+L5np26PVSNuknkXM4joNgk9VQo9iJygo26rVq3Sm2++qTVr1qhv376B\nx6OiotSuXTtTFgcYjRE3d2K0zRuoU1XjxPc9O72erRpxM3QfBoy42S307ErYrpqqaVroqfyV2wg9\nRggafK6++mpdffXVeuedd9SzZ08z1wSYgtDjTnR5vIM65R25qxoq3iYNH7eOuHkh9Jjd6eF8HvsJ\neY5P8+bN9cUXX0iSXn75ZfXt21crVqwwfGGAkQg97kTo8SbqVHicOOYm2eN1bcWIG6EnsqHnggP+\nEM8sy8zQw/k8xgoZfEaOHKnGjRtrxYoV+vbbb/XMM8/o1VdfNWNtgKEIPe6RvaQmocfDqFPhc9L7\nn53O7ZHcd16Pl0JPuJ2eXfq36aEHxgoZfOLi4vSb3/xGCxcuVLdu3dS0aVNFRYX8sYD169erQ4cO\nmjlzpiRp27ZtSktL05133qlHH31UR48acBYdcApO/bQT5eOqbaBOuV9KyjGrl2DpiJth2yf0BHVi\n4LFL6EnI/1QJ+Z9WeC0oK2RlKCgo0Lx587RgwQK1a9dOe/fu1f79+yu08YKCAo0cOVJt2rQJPDZ+\n/HilpaXprbfe0jnnnKP33nuv8qsHwsSIm3vQ5UEJ6pR72aXb48YRN6Pu1SPZI/T8op8iEnoqqkD/\nMjz0SFIttazwmlBWyODz2GOP6ZNPPtFjjz2mWrVqacaMGbrrrrsqtPG4uDhNmTJFiYm/vgKWL1+u\na665RpJ0zTXX6J///GflVg6EidDjHnR5cCLqVMU5seNtl9e4m0JPCSPu1WOX0CMVBx6zQo9UHHgq\nEnp8Wljh0HNil4fQU3VBr+pWonXr1mrRooV+/vlnff/997rnnntUo0bF/iVGRUUpNja21GMFBQWK\niYmRJDVo0EA7duyoxLKB8BB63IMuD05GnQqPU94H7dbtMZsZ5/VEdJtx4V80oDyRDD3hstv5PASe\nyAsZfBYsWKARI0aoYcOGKioq0s6dO/X888/r6quvrvLO/f6KvUjy8vKqvC8j2X19FeHmY8jNTZSU\nr5SUWrY/TruvryKMOobcVQ3/96d8paQcU15exUaZ4H52qFOSvV+/JWvLz0/8//buPjqq8s4D+HdI\nJOYOgxAgw4KWKm5FxF1lPAhVTI4CsrSyropABcpZVlsJrawHXwAXXypKKxXdAx6lwBbYuqytkmUt\nFutuR2lB0UEtpselFAUkZCDhbZIJIZDZPyYzmcm83XvnvjzPvd/PP5XM2x2m3Cff+f2e3xX6OFNF\nWwam/VsPhxssP4ZQkw8AEBgZgRF/bWreQ6jN13nfSPEvmO35yzrfk1/fe8r2HkL9ewFRIFDeXNTf\n00F/JP487c0In9L++CbfUQDxyW1hNOe8X7gh8yDbfPHANCSiIAx1b6LE9xkAoH9kgKrH9PbtAgCU\nR4YUvP+gkvcQBRBrvhItKo+HCisYfNasWYMtW7agoqICQPzk+cADD+heULxeL86ePYuePXsiHA6n\ntRfk4vdruzqulcLhsNDHp4bT34OilEvxDafTP4diBLd7oXitqvIctuA1yEgirFOAuGtV6r9LRSkX\n9jhTJf7N+/3xf/PhcAP8/oEFHmU85Uyixa346pOa9xBsBBQlUe0xvuIVbAcUJFrctD9/tvcQLIvF\nn7NS33Mm1ClHoMDbWenR/jwHsL/rwqR5Hh5uCMM/MP3fQBM+RSmUeKVH5UvHKz3eeKVHxWPilR4l\nXukpcP94pUeJV3qy3PfwcXXHSJkK7vG54IILkosJED+xJ1oA9BgzZgy2bdsGANi2bRvGjh2r+7mI\nCpGxn53SsbWNCuE6pU4wKMeXQAl2/5u3usVNxmEGRk1wc3J7G/fziKVgxcfr9WLdunX45je/CQDY\nvn07vF51/8eqq6vDsmXLUF9fj9LSUmzbtg3Lly/Ho48+iv/8z//EoEGD8A//8A/FvQOiHLivR26p\n/f12/wJEYuM65Syi7O0BrL9mD0OPdsVObgPUh55E4AHUhx7A4P08B4IAphd8PsquYPBZunQpXnzx\nRWzZsgUejwfXXHMNnnnmGVVPftVVV2Hjxo0ZP1+3bp32IyXSgKFHbqzy6Ld3717U1NRg9uzZuOee\ne3DkyBEsWrQI586dwwUXXIDnnnsO/fr1w8qVK/H73/8eAFBVVYX7778/7XkaGhqwcOHCjMeJiOuU\n89j9b9+uao8pz83Qk0HaIQYHgqpeW3R2rlMFW9369euHf/zHf0RtbS02b96MKVOmpLUUEImGoUdu\nDD365bomzbRp07Bx40bccsstWLduHQ4fPox9+/Zh06ZNePXVV1FbW5sxueyFF17IeJyouE4VJkvb\nrwjVHquv2WPF6GqGni6JIQayhh5PabWqYxCV3etUweCzYsUKvPLKK8k/r169GsuXL9fyHoksx9Aj\nJ4ae4mS7Js0TTzyBCRMmAAAqKipw6tQpDB48GC+88AIA4OTJk+jRowd69eqV9lzZHicqrlPqyHJe\nFOHfv1NCj9Fjq0P94+cJWUOPSJUe1ft5DgQdE3oA+9epgq1uH3zwATZt2pT88wsvvIDp09lbSGKS\n5VtNSufE/TzBo+Y8b76zb7Zr0lx44YUAgI6ODrz66quoqalJ3rZ06VK89dZbeOSRRzKue5PvcaLh\nOuUMIlV7LHktyYYZBMtiQFT+0DMkomic3KZtPw+gLvQA9ld53LhOFQw+7e3tybGeANDS0oJz584V\nfGIiq7HFTU5OrfJUt3nsPoSkjo4OPPTQQxg9ejRGjx6d/PnixYvxwx/+EDNmzMDIkSMxePBgVY8T\nDdcp57DzPGB1ixsgWehB/Do9xY6sBuyt9Ki9Ro+e0CNba5sb16mCwWfatGmYNGkSRowYgY6ODuzZ\nswfz5s3T8ZaIzBMKVcavfcDQIxWnhh7RLFy4EJdeemny27CGhgY0NjZixIgR8Pl8GDlyJPbs2ZOx\noHR/nKi4TuWXOD+KTIRqD2B9i5spz21S6KmuRFEXJxUh9Khh++S2lAEGTmhtU8uqdapg8JkyZQq+\n+c1v4rPPPoPH48HChQvRt29fHW+JyBzxSk+UoUciTmxtE9WWLVvQs2fPtCBw/PhxPPHEE3jttdcQ\ni8VQV1eHqVOnFnycqLhOFSbD+VGEao8lr2Vii5uZoacYsoUeM/bzJKgJPW4KPIC161TB4DNnzhys\nXbs2LWHdeeedeP3111W/CJHZAoFehe9EQmCVxzzZrklz/Phx9OzZEzNnzoTH48Hll1+OJUuWYMKE\nCZg2bRoAoLq6GsOGDcPnn3+Od955B/PmzcOrr76Ks2fPZjxORFynqBhWtrgx9GiTCDyAttBTzDV6\nzAo9hrS27YnfB0Pk3cNo9zqVM/hs2bIFq1atQn19Paqrq5M/P3funLDXciD34TADuTD0mCvXNWmy\nue+++3Dfffel/WzYsGEYNmwYAKQNCxAV16nCEhVxkYnQ5uaEfT2AM0OPaJPbbBtikAg9ffPcRwJ2\nr1M5g8/kyZPxrW99C4sXL8YPfvCD5M979OiRNoKOyC6pwwzCxTQek+nY2kZm4DqljgwVcbvOC1a2\nuIXafKbttTJybDVDT2627OfZ03Uf2UOPCPK2upWUlGDZsmVWHQuRapzgJg9WechMXKfk5pZqj0wt\nbgBDTza27OdxSJVHJAX3+BCJiqFHfAw9RFSI06s9idATuDyCYkZBZ31uk/b1FEOG0GPW5Da2tomP\nwYekw3094mNrG5H9RD9X2lntsfqaPdXXFjcKOhsRhxnIEHpKfJ8B8Io7xICtbaZi8CGpsMVNfKzy\nEIlD9D2Qdp4nrGxxM/x5GXoAmDuu2vAhBkZUed7vvH2CvFPd7MbgQ9Jg6BFf6OOBULwMPUSUnwjV\nHtNfx6R9PQw9cXpDT//IgIIdh2YNMTAk9Hwtz3NQQQw+JAWGHvHFf5GJMvQQkSp2nCusanEzc5gB\nwNBTTKUnjPwVUCFb2xh6DMPgQ9Jg6BFTamtbOHza5qMhIkDs/T12T3Kzcl+P0UQbW2116DH7wqSG\nhh4to6oLBR6AoccgDD4kPJEXcLfjfh4icYn8ZZGd1R7TX0eCfT0yhx5RxlWztU1ODD4kNLa4iYuh\nh4i0cnq1R4Z9PW4IPVrGVQs9xCBb6Hk7CAzjcAO9GHxIWAw9YuKoaiKxiV4ld3K1B2DoycfK0CPk\nRUkL7ecp1Nr2djDzZ6QJgw8JiaFHTKzyEMlBxHOnXdUeqwcaGPqcgoWeg/4IFHhdGXos289TKPBc\nmePxpAqDDwlLxIXbzRh6iKhYdp0/ZG1xA8QJPXXKESDqzkqP7a1tAAOPQRh8SDiit2m4DVvbiKhY\ndld7TH0Nk/f1FP08Bra3BdqbUfAiON2IFnp6+3YBUKwJPUa1tjH0GIbBh4TCFjexsMpDJBeRvziy\n+jxiVYsbIPa+HsC4PT3hU9oeK1LoUTvEwPD9PGxtEwqDDwmDoUcsDD1EchLtHGrnJDfu64kV9XiR\nBxnomdxWiREIR8I5i1ZC7efJEniObe28bTynuunF4ENCEW3BdiuGHiIykl3VHlNfw4QWN5GGGegN\nPYnAA5gfeqTbz6OztS0ZeABgVJ7XpoIYfEgIIrdnuAn38xCRU5hZ7WHoya6YKg8geegxqbUtGXoY\neAzB4EO2Y4ubGFjlMVbwL+Y87/Svm/O8JD8Rv0Cyo83Nqmv2OHWCmx2hR/rJbWa3tpkUety4TjH4\nkK0YesTA0GO86gvsPgJyIxHPpVaeV6wYaGDmvp6in4ehB4C60KNqiEGx+3lMaG37LBhE7+nG7PFx\n4zrF4EO2E3GhdhOGHiIyg11DDdza4sbQo31ymyWjqg1qbfssGAQVj8GHbCNiW4abcD8PEZnNjmqP\nac/P0JNBxNBTqLVtUMl7ABSpWtsSoUepzvF6pBqDD9mCLW72YpWHyFlE+yLJidUegKEnlajjqvPx\nRX+NKEzcz2NSaxvA0GMUBh+yHEOPvRh6skt8W8yrI5CsRDunOrHaY9jzMfTkZeZ+nljzldmv42PU\nfh4TWtsYeozD4EO2EG2BdgO2tmWX+guTFVd4J3I6q6s9Zg80MKPFDWDoycWs0JOo8rQgnHknK/bz\nsLVNCAw+ZCnR2jHcglWe7KyYAEXkRlafa2RscTOC1aGnyXcUXnhtDz22DDEwcD9PrtY2NVWe65cv\nRygUyn4sVBCDD1mGLW72YOjJxCoPOYlIXyjZVe0x7fkFb3HTQ/ZKjzDX5zGptS1f4KHiMfiQJRh6\n7MHQk4lVHnIikc6tTqn2GN3iFirzQYG9LW7Fhp7hkVj2/TFZCB16Cu3nMaG1rZgBBgw9xmHwIcuI\ntDA7HffzZGKVh8hcTqr2GB16RBhmYESlJ4zmgvdPBB7A+tCj5qKkvqYQ4FXsaW3TOMCAgcd4DD5k\nOpHaMNyAVZ50DDxE1rHqvGNF5dboYQYBfwSqyyVZ2B161LDzGj2WtbYBmaGHrW3SYPAhU7HFzVoM\nPenY1kZOFwyWu/b8anaLm2HPZ8AwA6eFHqOv0aMl9ETOBOC9KMvtxe7nYWubFBh8yDQMPdZi6OnC\nKg+Rtaxsc5O1xS2cZYqyqudwaOixbHJbxn6ebh+Emft5GHiEw+BDpmLoMR/386RjlYfIHlaef8z4\n9y3ivh63hx6jhhiwtY0SGHzIFNzXYw1WebqwykNuI8p51inVHoChR5bQo2aIgemjqg26Ng8Dj7UY\nfMhwbHGzBkNPHAMPuZko51krzkNmVnON3Ndjd+hJcHro0TvEwPdlCDja+f9Xtra5DoMPGYqhxxoM\nPXFsayOyl9UjrGVocQOKH1sN6A89iWqPFo4JPWqvz8PWNtdi8CHDMfSYi6GHVR4ikVhxLgo1+aCY\nmLGMbnEr6jk6qz166Glxc1roKdTaFikNZL5Ttra5BoMPGUaUfnOn4hCDOFZ5iMQ43zqp2mPIc0m4\nr0dr6Gnz7UcpFMNCj9GT21Tt5+k+Xo+tba7C4EOGYIubuVjlYZVHjWg0ikceeQSnTp1Ce3s7ampq\nMGDAADz11FPo0aMHLrroIvz0pz9FWVlZ2uN27dqF+fPn49lnn0VVVZVNR09aiXC+tXJvj+HPa2CL\nmxtCj9pKj9pr9FgyxEDvqGqDW9sYeLrYvU4x+FDRGHrMxdDDKo9amzdvxmWXXYZ//ud/xrFjxzBr\n1iz0798fCxcuxIgRI/CTn/wEb7zxBqZPn558zKFDh/Dzn/8cgUDAxiMn2VhV7Un82w+MjAAqf0FX\n9bwMPQC0h54hESXvx+Co/TxsbTOF3etUj6KfgQgMPWZxe+gJHmDo0aJv3744ceIEAODkyZOoqKjA\nK6+8ghEj4r9cVFRU4OTJk2mPqaysxKpVq9CrVy/Lj5fkZtV5yax/+6IMM5Al9Kit9Fi9n0dr6PHV\nheL/8bVq7aFnVHXW0KNUVzP0qGT3OsWKDxVFhD5zJ3L7fh4ntLUFPzbneacPzn3bpEmT8MYbb2DC\nhAk4ffo0Vq9eDUWJ//8nGo3iv/7rv/Diiy+mPaZ7OwGJzy3nXbNb3Ax5riKHGYgcehKBBxA39GSl\n5/o8GlvbnFLlceM6ZXnwydbbd+ONN1p9GGQAtriZg1We+P/KGngSqvtb/5pbtmzBoEGDsGbNGnz+\n+edYvHgxXn/9dUSjUcydOxdz5szBZZddZv2BSUaGdcrO866VQw2MPg+I1OImQ+iRanJbvv08Ka1t\nkT7dprrpbG1zwgADN65Tlgef1N6+o0eP4rvf/S7eeustqw+DisTQYw43hx4nVHnstnv3bowdOxYA\nMGzYMBw7dgxnz55FTU0NJk+ejNtvv93mI5QD16nCzD5HmVXtARh6CjE69KiZ3GbYEAM1VZ6GlKlu\nnNpmObvXKcuDT9++ffF///d/AIBTp06hoqLC6kMggzD0GCv08UAoXneHHgae4gwZMgSffPIJxo8f\nj8OHD0NRFKxbtw7XX3897rjjjoKPj8X0Xz/ESbhO5WZFtces84FRLW5GDDMA3BV62NpGCXavU5YH\nn2y9fSQXt/SXW6XrF4mo60IPqzzGmjp1KhYtWoSZM2fi/PnzePLJJ7FgwQJcfPHF+MMf/gCPx4PR\no0dj7ty5qKmpwapVq/Duu+9izZo1+OKLL1BXV4eNGzdi7dq1dr8VW4m8Tolw/rXiPCVyixtgzDAD\nrRh6stARenw7Q4BXcWVrmwjsXqcsDz65evtIDmxxM1Zqa1s4fNrmo7EWqzzGUxQFL7zwQtrPtm/f\nnvW+q1atAgBUVVXx2j3diL5O2XX+tbLaYwYjW9x0P15nixtDTzcq9/PomtqWgtfmMZ7d65Tlwad7\nb9/Ro0cRi8Xg8XhyPibc/Sq7ghH9+NRQ+x6i0UoEAr2EfM8iHlM+oY8HAogiEDiXDD3hcIO9B2WA\nQu8h1ORL/ndgZCTjItpEdtOzTgHWnIOi0Updr2PEsUVbBqadr8wQbfHlPC/oPT+G2nydj48Uc2gI\nlcWfJ+DXd94K9e8FRFsQKG/W9PiD/ggQBQLtzQifUveYJt9RAMDwSAxhNOe9b5svHpCGRBSEkfvA\nSnyfocQHtLQA/SMDct63t28XAKA8MiTnfQaVvIcogFjzlWjJch9fU3zkdORMAOh2u+/LzttKO6/p\nkvKXmRhVHenTeVvnfh7fzlDyPpFLAoikPObMe/HbmocHks91INR1//OB9PsDwOD58xFKuQ/Jw/Lg\n0723z+v1FlxM/P7C30DYJRwOC318aqh9D8FgORRFzM9Dts8huN2bsZ8nHG6A3z/QxqMqXqH3EDyA\n+PtOVnmsmw6l3mG7D4BspmedAqw5NypKuebXMeL8mDhn+f3mtbklzg9+f+Z5Qe/5MdgIKEqimuiw\nrwAAIABJREFU2qP/fBNsBxQkWty0P0+wLAZEWzDp615Nj69TjkCBt7PSo+5xB7AfXnjjlZ4CD2nC\npyiFEq/0FLwwqRflDQr8A3PfN17pUeKVniz36RpioMQrPd3vk7goqVeBp7Qa3ou63b4nGP9A+1Zn\nPv37nbd9rTpzaltKa1skHMZAvz9Z5fF6FWBU12M+CwahKIrQrW0MXfpZHny69/Y99dRTVh8C6cAW\nN+O4cXIb9/KQTERdp+ze32PmOcuM1lej9vUYNcEtUN4MraEHsL+9LbW1LV9FqFB7m2n7edjaRhpY\nHnyy9faR2Bh6jOHGi5Iy8JCMRF6nnHweNuMcYfcwg9Q9PVra20QMPbloGVdt2n6e7oEHyBl6zrwX\nSlZ5Eji1zT0sDz4kJycvtlZwc5WHgYdIbmYPNTBjoIHRo6t1PVbyQQZCDTEwYFS1nqltDDzOw+BD\nedndWuEEbgs9rPIQOY/Z5y8ntrgBDD22hZ48rW3N4TC8YJXHrRh8KCe2uBXPbaEn1OTrNryAiIxg\n15dQMlZ7APtDj55r9Tgp9HQNMcgRehJDDKAx9Bi0n4fX5nEvBh/Ki6FHPzeFHidUeRLfEk+39zCI\ncrLrfCxjtccIRuzr0fyaDgo9lu3n0djadiAUyjm1jYHH+Rh8KCu2uOnntiEGqXt54tfJEHFEdW6p\nvygZtRGayAlkq/YY2eJmdehJVHvUsiv0xK/Ro5gbegxubUtgaxsBDD6UBVvc9GOVRy5G/aJE5FRm\nncvMGn5iVIubrsdaNMzA0ZUeC1rbul+MFGDocRMGH0rD0KOfG0OP7IEHYOghsotoLW7F7OuRNfQk\nAg+QO/SkjqsujwzJe2FSU/bzcGobGYjBhzIw9GjnltAje5WHgYdkZEfrsZltbiK2uLk59Gip8mS7\ngKma0GP4fh62tpFODD6UxH09+rgt9DDwEFnPji+kzDynidbiBog9tlpt6EkEHsD40NOd2sltdu7n\n4dQ26o7BhwCwxU0vN4Qemas8DDxE2slY7SnqOQzY16OF2aHHLft59La2hUKhLAdMbsHgQ0kMPeq5\nIfAAzqjyMPAQaSdDtUfGFjeGnvhthu3nYWsbacTgQwiFKqE4+/d3Q7kh9LDKQyQGq1uQZan2yBh6\nDvojUOCVOvQMKnkPgKJ9iIFF+3kYeKgQBh+Xiy+qUVZ7VHJT6GHgIRKD1ednM85vZpxXZAo9dcoR\nICp/pScK+/bzcGobGYHBhxAI9LL7EKTg9NAja5WHgYdIDka3uBXL6va2QHsz1FzgWdTQAwCx5isz\n34KR+3nY2kYmY/BxMU5xU88toUemwAOIvY8n+J45zzt9tDnPS2RWm5uoLW6aH1fknp7wqcL3tzr0\npF6jJ1vo6T65raX7OGsz9vOwtc0yblynGHxcKnWKWzjLVYwpLvUXASeGHlZ5zFM9xO4jINnZ8eWU\nWec5J7S4Ac4aZGDaEAOD9vOwtc18blynGHxciKOr1WGVRzwyBB4iI1l1npap2qP78Qbs61HL0aFH\nzRADo/bzsLWNDMbg41IMPfk5OfTIWOVh4CEyn8jVnlCbD4pS/L9/q/b1APaEnkTgAcwJPb6mEOBV\njN3Pw9Y2shCDj8twX09hbgg9sgQeQOx9PESUm9EXK5VtX48aZoQe067RY/J+Hra2kRUYfFyELW6F\nOTX0sMpDJBcrv6Qy89o9Rpxv7GpxM/sCpTKGnsiZALwXdbvNyNDD1jYyGYOPyzD05Ob00MPAQyQX\nK8/XRp/3jKr2JM4HgcsjUDMKOuPxDD0A8oee7pPbMg82GH+O0mogdaqb1iEGOkZVM/CQ0Rh8XIIt\nbrk5dXKbbFUeBh4i65lR7TH6y5bqa4Fiho8y9BQOPYYNMeB+HhIcg48LsMUtN1Z5xMB9PET2MeP8\nJ1KLmx5OCD1qr9Ejyn6efK1tDDxkFAYfl2DoyeTE0MMqDxGpZWa1p+jnKfLLkGJb3NTSEnqafEfh\nhdfS0GP0EAPflyFAUUzbz8MqD5mNwcfh2OKWnZNDDwOPdqnfDE+37zCIAFh73ha12gPYF3rUVntE\nr/QYGnq4n4ccgsHHwdjilp3TQo9MVR6RA0/yl6TzthwKURoZz9tGV3uKIWLoGR6J5Z3PIHzo6VuN\nyNlw11vQsJ+HrW0kCgYfh5Nx8TSTU0OP6IEHEGsfT9bAQ+QiZo2wLvZcZFSLm6bHWFTpCaM55/1s\nDT3FDDFgaxtJhsHHodjilslJoYdVHv30tsEQOY2R50IjL1ZqZYubG9rb8o6rNmqIAVvbSBIMPg7E\nFrd0ThtXLUuVR9TAAzD0kLis+NJK9GqPrscW8YWGlglugJyhx6jJbb66zuEGbG0jSTH4OBRDTxyr\nPPZgWxuRflacv0Wr9hRzzrB6glshUoeeXEMM9OznYZWHBMTg4zBscevixNAjeuAJtfmgCBJ6GHiI\nzGfkuamYc4YowwwcEXrytLZFGlKGGzD0kIQYfByELW5dGHqsJVJbGwMPUW5mtLmJ0OKm6TGCh55E\n4AGyhx5TLkxqwn4etraRiBh8HIahxzmhR4bWtu6BJxyOIO+8VjOPhYGHJGdVxd6oc6OMLW6yhB5R\nJ7f5doYAr6J6Pw+rPCQaBh+HYItbnNNCj6iBBxBnHw8DDzmJmV9eiVjtAdwTetp8+1EKxbbQo3qI\nAffzkIP1sPsAqHhscYtzQugJHhA/9AQbxQg9wfb0X34Yerq0tbVh/PjxqK2tBQBs2LABI0aMQGtr\na9b77927F+PHj8cvfvELKw+TbCBitUcvMye4yVTp8UV/rT307AnmDz1fq84aeiKXBJI/0hJ6rl++\nnKGH0ti1TrHi4xBuDz2hjwdC8codekJNvvh7EDjwJNgdeJLHwbCT1UsvvYQ+ffoAAGpra9HU1ITK\nyuy/8bW2tuLpp5/GmDFjrDxEcgC7qz2aHqNhgptZoWdIRMnaCSziEIOk7vt5wmG2tpEh7FqnGHwk\n5/YWt67Wjai0oUemvTwMPOLbv38/9u/fj6qqKgDAhAkToCgK/vu//zvr/cvKyrBmzRqsXr3aysMk\nixnZ5mZntcfsFjczKz1hhDNulyL0pLS2nXkvBK9XYWsbFcXOdYrBR2Jub3FLbW0Lh0/bfDT6pLa1\n2TkYIBcRqjyyBp7gu1FTnnf61Py3//jHP8aSJUuwefNmAICi5P9CoEePHujZs6dRh0c6WfEllpFf\nDhXzJU2xX6TYHXoS7G5vAwwIPSbt52HgkYMb1ykGH8kx9LDKYwYRAg9Q3NXYdb1eWQzTDVoHqse2\nGPNEGtTW1uLaa6/F4MGDAQCxmLYLNJK9zDqfJ1qBjWBEtQewpsVN6zADQF3oSVR78rEl9Gid3Jat\nygPkDT3NwwPwgqOqncKN6xSDj6Tc3OLmlNAjYuAB3NnWpvUK7qJ699138dVXX+F3v/sdGhoaUFZW\nhoEDB2LMmDHweDx2Hx7ZSLRqj1ahMh8UqD8f6J3gVoiaFjc7Q0/OwAMUDj1Zrs+TsZ8nHGZrGxXF\n7nWKwUdCbm5xY+gxjwhVHjsDT/IXpC/Nf12zrFixIvnfK1euxMUXX5zcDMrqDxWr2GqP3i9V9FZ+\n7ZjgJmTo0bmfJ1tr24FQCIqisMpDutm9TjH4SIqhRy4it7Yx8Jj/enZ6+eWX8Yc//AFNTU249957\ncc0112DBggV48MEHsWzZMvz5z3/GsmXLUF9fj9LSUmzbtg0rV65E79697T501zCzgh8/bxrXx1/s\n+UvvOSbgV78H0q4JboVCT4nvMwBezaEnEXgA+0IPW9vITFauUww+knFri5sTQo9ogQewv62Ngcc8\n8+bNS/7397///Yzbn3/+eQDAVVddhY0bN1p2XJSdmV9mBQLnin4Oo6o9mh9n4r4eUSo9Ig0xKDSq\nOhJOn0zH0EPFsGOdYvCRkNuqPbKGHlZ58rw+Aw+R6YwcYQ3oP48Z0eIWzpwEnXl/wUNP/8iAjKKV\npaFH7X4eTm0jB2PwkYgbqz2yhx4Gnm6vz8BDZCkjxv0bMcnN7H09ooeer+PSjOv4GDq5Tc8QA7a2\nkQsx+EjCjQMNZAw9MlR5GHiISK1iv8TR2+IGmDPMQOr2Nov382Sb2jZ4/vyMnxHJhMFHIm4JPant\nGTKGHlEDD2Bv6GHgIcpkViXfyDY3u1rcVN9f4zh6x4ceg/bzpEpUeUKhUMYxE8mEwUcCbmpxk7HK\nA4gZekQJPID5oYeBh2Rm1pdaxZ5Hndrilo9jQg/38xBlxeAjODe1uMkYekRtbXNLWxsDD1Emkao9\nmh5j874es0NPb98uAIo9oYf7eYgAMPhIgaFHTKzydHvtdiCq8erqul+LgYcoLxmrPYBzQ49hlR6T\nhhhk28/D0ENOxOAjMLe0uMkWekSs8tgdeBIC/gj8fmNH6Ka9lomBR00bDJGb2FHt0UK20FMeGZI2\nzlrzhUmLGGKgZz8PkRPZEny2bNmCtWvXorS0FD/84Q9RVVVlx2EIzS0tbrKGHlECD2BfW1u2ljY1\n19rQ9VoWBZ5Cm57JPaxYp8z4csuINrdiqj16zkd6W9wKESn0VGJE2jhr3eOqCw0xULGfh61t5GaW\nB5+TJ09i1apVqK2tRUtLC/71X/+VwScHhh6xiBZ67KryOGEPT/fqDgMPpbJynTLjPG/EObWY85wI\nLW6ihZ5UIuznYWsbuZXlwWfHjh244YYbUF5ejvLycjz11FNWH4Lw3NDiJlPoEa21TYS2NicEHoYd\nykXWdUqUao+mx2hocTMy9CQ4NfSwtY0oO8uDz+HDh9Ha2or7778fkUgENTU1GDNmjNWHITwnV3tk\nDD0iBB5ArLY2U16HgYcEIPM6ZVe1x+wWt1D/XvHBKSrPC2qv1ZOLGaFnUMl7ABTrQg9HVRNlsDz4\nxGIxnDx5Ei+99BK++uorzJo1C7/73e/yPiZs1sYBgxh5fKFQJYCo5e/ZqtcLfTwQQBSBwDmEw6cN\nfe5wuMGw5wo1+ZL/HRgZMW3vSne53kOoLeV4LrfueEJlKa/rjwAovI9Hz+cQ6t8r/h9RIFDerOp1\n1DjYecyIAoH2zuc9VfzzkrPpWacAbedRM8710ZaBOc+rav5dJs574XBE+2u3+TSdmxLnloBf5WP6\n98KVsXDB+x70R4AoED7VnPM+Tb6jAIDhkRjCyLxfmy8eioZElLR9OQklvs/ihxQZkHZ7fFx15xAD\nIO22eOgBWsJD0JK616cpfkHQyJkA0Plz35ddFwmNlAaSJ0NfXed9+wSAhjB8O1Pud0n8fmfei/+s\neXj8zwdSLjh6PhBAJOUvcPD8+bouSOqEi5g64T2QPpYHn/79++Paa6+Fx+PBJZdcAq/Xi+PHj6Oi\noiLnY/z+7N+4iCAcDht2fMFgORTF+mqPke8hn+B2LxSvOZWecLgBfv9AQ54reADx40x+62nelLJU\n2d5D4ltURUn9JtX840l8E5s+mrrw62r9HBIVnvRvcot/f4kKjwJvyje/Kp/3MKe7uZ2edQrQtlYp\nSrmh5/rE+dXvzzy/qv13qZxJnPe0/RsMNsbPUVomOirtiXNL4ccEy2JAtKXg32+dciTl33z25z2A\n/fDCG29xy3KXJnyKUijxSk+327uqPJ2VnJTb41Wezmv0dHtcvL1NQUt4SPp7OBAEvAo8pdXwXtT5\nsz3B+F9mZ5XHC3RVeRQF+Fp1/Gdvxx+bqPJ4Ea/0eL0KMCp+n8+CQSiKYmiVJxQKIRAI6H68CJzy\nHkifHla/4A033IAPPvgAsVgMJ06cQDQaLbiYuIlTW9xkaW8TqbUttXXEqta2YHt6+4lZbW3Bslha\nv75RbW11ypG0/n62tZEesq5TxZxfi71uj54WN1X37TxPJCrBuRgxzCBfe5ul1+jJ1drWfXJbSmub\n2iEGbG0jt7O84uP3+3Hrrbfi7rvvhsfjwZIlS6w+BCE5eaCBDKFHpAEGdgwv4B4eoi5uXaeK2duj\n+v4a9vWkfjmSr8VNqtCjZ1y1hv08HFVNlJ8t1/G5++67cffdd9vx0kJy6jV7UicMyRB67A48gD3D\nC6yY1GZG4DF6JHXXZmcmJ5JrnSp2mpveao/e85XW0JOPiKEn14VJfU2hZGtbGoNDDwMPUW62BB/K\n5NTQI3LgAcQJPcHG+Obg9L08Jr+mBVUeswOPcWEnLv6LUUdxT0pUgBkV/mLPtXrPgWa1uAFyhx5D\nJ7cVcX0ehh6idAw+NnNii5sMoUeU1rbUNpHA5RFNm4N1vyYDT1rgyXcdj2IEg+YMSZg+3ZSnJYsZ\n9WWX3dUe1ffX0eKmhkyhJ3ImkD7EICERet5P+Vme/TxJDD1UJDeuUww+AnBStUem0CNClQfo+sbU\n7BHVVgSeUP9eUFS2qKglW+BJqK5uNemZedqmdFZXe7S2uOnd15NP91bX7kQLPfFKT+dJnvt5SBBu\nXKfEPTIXcFq1h6FH5TFYPLzA0gpPlIGHSBbFTHITeV+PmKGnE/fzENmKwccmThtoIHroEaG1zc5p\nbVa1tIXDzSj2OjwMPETqFNvmBuiv9qi+vw37egAxQ4/vy1DaNXoA5N7PAzD0EJmAwcdGDD3WEKnK\n45TBBSLv4ck+sIBIDEZX+vWed62o9hi9r0fLMINshK/0cIgBkekYfGzgpBY3kUOPG6s8DDxxesNO\n/Bejq/UfBJEKonzpZXa1BzCuxe2gPwIFXt3DDCwJPQUmt0VKA/Ej0zHEINd+HgYeIm0YfGwiysJX\nDBlCj1uqPAw8cXoCT+IXIiKZFNPmpqfao3egQcH7qQg9dcqR+P5B2UJP98lt4TD38xDZjMHHYk6p\n9jD05Hl9C6s8DDxxxQaebL8QEYmumPOvnvOj0S1uaocZAECgPff+QaFDT0prm6+uc48PQw+RbRh8\nLOSUgQaihh6RWtusrPLIEHi6j57VG3iM2L/DwENuVky1Rwu15yWzx1YDYoQeDjEgEgODj8UYeswR\navJB8dofeAC5qzxmBh5RqjsAAw/Zw6iKf7HT3Kyo9hS8n8ZhBuFTmberHVvdnV2hJ9Knc48P9/MQ\n2YbBxyJOaHETNfTY2drGwJOdiIGHYYdEYNSXX3rOw2ZXe4xscTPrWj1aQ08i8AAGVHoawmxtI7IZ\ng4+FZK72iBh6UhfxwMgIir1+jObXt6itTabAc9AfQaPSEX8+CQNP/JeiyZpfj8gqVlZ79JzjnBh6\ndI2rzjK5zbczBHgVhh4iGzH4WED2ao/IoSexiIfDFr62RVUemQJPssJTYPJSIcUEnmLa2RK/EBHJ\nwKpqD2B8ixvgotBT5BADBh4i4zH4WETWao8MocfS17a4yiNN4EGiDz/35KVcih1YUFx1p0viF6IO\nTa9OJA891R5V99XY4lZIoS9PbAk9nYEHSAk93cdVA3mHGEQuCSDK/TxEtmLwMZnM1R7RQo+dU9tk\nr/KIuIfH3na2uGy/CBGZwYi1QG+bW2L4i1ZqznVm7OvJpfuXJKmsCD26J7d1VnnO/HIrvF6FrW1E\nNmLwMZHM46tFDT1OrfIE24FomQ8KGHgK0RN4clV3iKxkxFqg95xsVrUHsGZfT5PvKLzwarpWT67Q\nkwg8gHWhh/t5iMTA4GMyhp7i2RV6rKjypFZ4Av4I/H5jBjQ4LfDo3b/D6g65nda9PVq+6BFhX4/e\n0GPJNXq6hZ7m4fFx1tzPQ2QfBh+TyNrixtBjfVtb4ttSowY0aLkaeiEiBR4z29lSvwEGrlb9OkRW\nKWaam9apl2a0uOWiNvQMj8Qy3oLtoSfL5LZ8lZ4DW7fimBJfWxl6iOzB4GMi2ao9IoUeu/bzWNXW\nliBqW5uMgUdPO1u2lpf8uwyI7KP13Ky32qOWES1ugLpKTxjNabflCj0JloWeLEMMcGV1zouSsrWN\nyF4MPiaQsdojYuhxWpXHDYGnyXcUZ9CS/LOWwGNVO1t6dSfzFyEiJ6m+SVs12agWt2KHGehpbwOy\nj6a3LPQU2M9zPhBIe32GHiLrMfiYRKZqT+jjgVC8DD0MPJ3PpSPwyNbO5uSw8+yzz+LTTz+Fx+PB\nokWLcPXVXa17O3bswIoVK1BSUoKbbroJc+fOtfFI3aPYL8P0tLmZVe3RMmpf776eYkNP6vmgqNCj\nZVy1iiEGkc4EysBDbmfnOsXgYzDZqj3xBTVqe+ixo7XNyiqPWwJPONKseiuBFe1sWqs7vuivcQTj\nVB2LiD788EMcOHAAmzZtwl/+8hcsXrwYmzZtSt6+dOlSrFu3DpWVlZgxYwZuvfVWDB1q8MWiKKti\nvwzTc47Wei5Vex40e18PIFDo0Tm5jdfnIcrO7nWKwcdAso2vTnyLGAics/c4WOVR95wCBx4tig08\nRld3Er8EOcHOnTsxblw8uA0dOhSnT59GS0sLvF4vDh06hD59+sDvj/+dV1VV4f3332fwIc3Vnrz3\nKdDipnaYQXdtvv0ohSJk6FG7n2fw/PkZx07kNnavUww+BpMt9FRXKQiHT9t3HBaHHrOrPAw82dmx\nf0dL4En7JUhijY2NGDGi63337dsXjY2N8Hq9aGxsREVFRfK2iooKHDp0yI7DJA3MbnNT+yWQmuq1\nUaGn+7nF1kpP98ltuYYYqLg+TygUyjh+Irexe52SIvhMny7yYQ5O/tf06e0ADtp3KBpMn979J4ft\nOAxkHEZRCr8HY1+vwPOf1/jg/gDOZ76H6dGUP3yp+ZAMlvobS0fGrVdjAHA48+f6R0RPzvNq2XS9\nTqHpbGa2tPXs2TPLvzHjnlutWCx3y1G+20ifXGtVMWuDnv8fZX9I9vOj2qdP3i/PeS15rvpS5ZNm\nSJxfuv9rz3f+mJzlEfH7dz8HZP833+1vYEi3P0/o9udh3f48Pv3PvXN8YInQ44Tww/fgDG5dp0RO\nFACAQLcpKEREokvdqGmlyspKNDZ2lTWPHj2KAQMGJG87duxY8rZwOIzKSgMu9kQAuFYRkVzcuk71\nMPTZiIjINjfccAO2bdsGAKirq4Pf74fSecHEwYMHo6WlBfX19Th37hyCwSBuvPFGOw+XiIhcxu51\nyhNjvwMRkWM8//zz2LVrF0pKSrBkyRL86U9/gs/nw7hx4/DRRx9heedUqYkTJ2L27Nn2HiwREbmO\nnesUgw8RERERETkeW92IiIiIiMjxGHyIiIiIiMjxGHyIiIiIiMjxhB9nLYpnn30Wn376KTweDxYt\nWpQ2BvDmm2/GoEGD4PF44PF4sHz5ciHHxO7duxc1NTWYPXs27rnnnrTbduzYgRUrVqCkpAQ33XQT\n5s6da9NR5pfvPcjyOfzkJz/B7t27cf78edx3330YP3588jZZPod870GGz+HMmTN49NFH0dTUhLNn\nz+L+++9HdcoFB2X5HIhScZ0SA9cpMXCdoqxiVNCuXbti3/ve92KxWCy2b9++2NSpU9Nuv/nmm2Ot\nra12HJpq0Wg0NnPmzNi//Mu/xP793/894/ZJkybFGhoaYh0dHbHvfOc7sX379tlwlPkVeg8yfA7v\nv/9+7L777ovFYrHYiRMnYtXV1Wm3y/A5FHoPMnwOv/71r2Nr1qyJxWKx2OHDh2MTJkxIu12Gz4Eo\nFdcpMXCdEgPXKcqFrW4q7Ny5E+PGxa/4PHToUJw+fRotLS3J22OxmPBXQS8rK8OaNWuyfqNx6NAh\n9OnTB36/Hx6PB1VVVXj//fdtOMr88r0HQI7PYdSoUXjxxRcBAL1790Zra2vymGX5HPK9B0COz2HS\npEmYM2cOAKC+vh5/9Vd/lbxNls+BKBXXKTFwnRID1ynKha1uKjQ2NmLEiBHJP/ft2xeNjY3wer3J\nnz3++OP46quvcN111+HBBx+04zDz6tGjB3r27Jn1tsbGRlRUVCT/XFFRgUOHDll1aKrlew8Jon8O\nHo8HF154IQDgl7/8JaqqquDxeADI8znkew8Jon8OCdOmTcPRo0fx8ssvJ38my+dAlIrrlBi4TomB\n6xTlwuCjQ/dvCR544AGMHTsWffr0wdy5c/H2229jwoQJNh1d8UT/FiQXmT6Hd955B2+88QbWrl2b\n8z6ifw653oNMn8OmTZvw+eefY8GCBdiyZUvW+4j+ORBlw3VKTDJ9DlynxMB1ylhsdVOhsrISjY2N\nyT8fPXoUAwYMSP757//+71FRUYEePXrgpptuwt69e+04TN0qKytx7Nix5J/D4bBwm/zUkOVz2L59\nO1avXo01a9agV69eyZ/L9Dnkeg+AHJ9DXV0dGhoaAADDhg3D+fPncfz4cQByfQ5ECVyn5CDL58B1\nyn5cp8zB4KPCDTfcgG3btgGI/x/R7/dDURQAQHNzM+bMmYP29nYAwIcffoi//uu/tu1Y9Rg8eDBa\nWlpQX1+Pc+fOIRgM4sYbb7T7sDSR5XNobm7Gc889h5dffhk+ny/tNlk+h3zvQZbP4cMPP8S6desA\nxFsGWltbk20DsnwORKm4TolPls+B65QYuE6ZwxNjfUyV559/Hrt27UJJSQmWLFmCP/3pT/D5fBg3\nbhw2btyIzZs348ILL8Tw4cPx2GOP2X24Gerq6rBs2TLU19ejtLQUfr8fN998My6++GKMGzcOH330\nEZYvXw4AmDhxImbPnm3vAWdR6D3I8Dm89tprWLlyJb7+9a8jFovB4/Fg9OjR+MY3viHN51DoPcjw\nObS1tWHRokVoaGhAW1sb5s2bhxMnTiT/TcvwORB1x3XKflynxMB1inJh8CEiIiIiIsdjqxsRERER\nETkegw8RERERETkegw8RERERETkegw8RERERETkegw8RERERETkegw8RERERETkegw/l9Nxzz2Hm\nzJmYOnUqrr76asyaNQuzZs3Cli1bdD3f+fPnMWzYMIOPMrsVK1bgnnvuweLFi5M/a29vx4wZM3D6\n9GlNz/X2229j3LhxeP3117Pe/uSTT2LUqFE4e/Zs8me7du3Cddddh1mzZmHmzJn4zne+g5/97GeI\nxWJoaWnBqFGjcPLkybTn2b17NyZOnKjp2IiI3I5rVRzXKqLCGHwop4ceeggbN27E889DWGdrAAAG\nfklEQVQ/j379+mHDhg3YsGEDJk+erOv5EhcRM9vZs2exZ88e/OIXv8D58+dRX18PAFi9ejWmTZuG\n3r17a3q+d999F//0T/+EO++8M+trbd26FQMHDsQ777yTdtsVV1yBDRs2YOPGjVi9ejX++Mc/Ytmy\nZfB6vRg3bhzefPPNtPvX1tZiypQpGt8tEZG7ca2K41pFVFip3QdAclq5ciW++uor1NfX49FHH0Vr\nayuWL1+OsrIynDlzBo8//jiuvPJKfPHFF3jooYdQXl6O66+/Pvn49vZ2PPXUUzh48CBaWlrw7W9/\nO+Oqw62trXjkkUdw6tQptLS04NZbb8W9996Lo0ePYsGCBQDiVzaeOnUq7rjjjuTjTp06hf79+wMA\n/H4/Ghsb0d7ejj179qCmpibnewoGg3jppZdQXl6O8vJyPPnkk/jkk0/w7rvvYvfu3SgpKck42W/b\ntg3f+MY3MHnyZLz++uuYNGlS1ufu1asXnnnmGdxyyy34wQ9+gDvvvBNLly7FjBkzAMQXpd/+9rcZ\nCwwREenHtSqOaxVRHCs+pNvhw4exYcMGDB8+HCdPnsSTTz6Jn//855g5cyZefvllAPFF56677sLG\njRtxxRVXJB+7YcMG+P1+rF+/Hq+99hrefPNN7N27N+35m5qaMG7cOKxfvx6vvvoqXnnlFbS0tGDr\n1q0YOnRo8huq1tbWtMdVVFSgoaEBAPDFF19g0KBBePbZZ7FgwQI8/fTTWLhwIT7//PO0x5w5cwaP\nPfYYVq5cifXr12Ps2LF48cUXceutt2Ls2LGYM2dO1m+4fvWrX+HOO+/E3/3d3+GTTz5BOBzO+ffl\n8/lwySWXYP/+/QgEAjhz5gz27dsHAPif//kfjBw5Ev369dPwCRARUSFcq7hWESUw+JBuf/u3f5v8\n7/79++PHP/4xZsyYgdWrV+PEiRMAgL179yIQCAAARo8enbz/Bx98gN/+9reYOXMmvvvd7+Ls2bM4\nePBg2vP369cPH330EaZNm4Y5c+bg7NmzOHXqFG666Sbs2LEDCxcuxP/+7/9i6tSpaY8rKSnBbbfd\nhpkzZ2LEiBHYuXMn/uZv/gZ79+7FFVdcgcceewwvvfRS2mO+/PJLDBgwAJWVlQCAUaNGYc+ePXnf\n/6FDh1BXV4eJEyeiV69euOWWW7B58+a8j2lubkZJSQkA4I477kjev7a2FnfddVfexxIRkXZcq7hW\nESWw1Y10u+CCC5L//fDDD+NHP/oRRo0ahWAwiHXr1iVv69Ejnq/PnTuX/FnPnj1RU1ODCRMm5Hz+\n9evXo729HZs2bQLQtRhddtll2Lp1K3bt2oW33noL69evx3/8x3+kPXbKlCmYMmUKTp8+jZqaGvzb\nv/0b1q1bh6uvvhperxeRSCTj9WKxWNp/F+rx/tWvfoXS0lJMnz4dABCNRvHpp5/i+9//ftb7h8Nh\nNDU14fLLLwcA3H777bj77rsxe/Zs7N27F1VVVXlfj4iItONaxbWKKIEVH1Il9USbTeIkef78efzm\nN79JTo0ZOnQodu/eDQDYuXNn8v6BQABbt24FAHR0dGDZsmUZE2waGxsxdOhQAPHyeltbG9ra2vDm\nm2/ij3/8I8aMGYMnnngCDQ0N6OjoyHpcP/3pT/HAAw+gtLQUffv2xZEjR9Da2orS0vTMf+mll+L4\n8ePJtoMdO3bgmmuuyfl+Ozo6UFtbi7Vr12Lz5s3YvHkztm3bhh49euCjjz7K+Dtrbm7G448/jhkz\nZqCsrAxA/JvHK6+8EsuWLcNtt92WXHSJiEgfrlXpuFYRpWPFh1Qp9I3Svffei1mzZmHw4MGYM2cO\nHn74YWzYsAHz5s3Dww8/jG3btuHaa69Nls7vuece7Nu3D9OmTUNHRweqq6szJtjcddddePDBB/H7\n3/8et9xyC2677TY89NBDePrpp/H444+jZ8+eydfOdiL+5JNPcP78eVx33XUAgIkTJ2Lu3LnYtGkT\n5s2bl3bfsrIyLF26FPPnz0fPnj2hKAqeeeaZnO93+/btGDBgAK666qq0n0+bNg1vvPEGbr/9dvz5\nz3/GrFmz0N7ejpaWFnzrW9/C9773vYz3OHfuXPzmN7/J+/dLRESFca1Kx7WKKJ0nVujrESIiIiIi\nIsmxXklERERERI7H4ENERERERI7H4ENERERERI7H4ENERERERI7H4ENERERERI7H4ENERERERI7H\n4ENERERERI73/8r2L1Ve7HfqAAAAAElFTkSuQmCC\n",
1713 "text/plain": [
1714 "<matplotlib.figure.Figure at 0x7f96868a7ad0>"
1715 ]
1716 },
1717 "metadata": {},
1718 "output_type": "display_data"
1719 }
1720 ],
1721 "source": [
1722 "x = np.linspace(0.001,0.03) # % ADV\n",
1723 "y = np.linspace(1,60*6.5) # time to trade\n",
1724 "X, Y = np.meshgrid(x, y)\n",
1725 "\n",
1726 "levels = np.linspace(0.0, 390, 20)\n",
1727 "cmap=plt.get_cmap('Reds')\n",
1728 "cmap=plt.get_cmap('hot')\n",
1729 "cmap=plt.get_cmap('jet')\n",
1730 "\n",
1731 "plt.subplot(1,2,1);\n",
1732 "\n",
1733 "Z = tc_bps(X,Y,0.20)\n",
1734 "plt.contourf(X*100, Z, Y, levels, cmap=cmap, alpha=0.55);\n",
1735 "plt.title('Trading Time in Minutes; $\\sigma$ = 20%');\n",
1736 "plt.xlabel('Trade as % of ADV');\n",
1737 "plt.ylabel('tcost in Basis Points of Trade Value');\n",
1738 "plt.ylim(5,20)\n",
1739 "plt.colorbar();\n",
1740 "\n",
1741 "plt.subplot(1,2,2);\n",
1742 "Z = tc_bps(X,Y,0.40)\n",
1743 "plt.contourf(X*100, Z, Y, levels, cmap=cmap, alpha=0.55);\n",
1744 "plt.title('Trading Time in Minutes; $\\sigma$ = 40%');\n",
1745 "plt.xlabel('Trade as % of ADV');\n",
1746 "plt.ylabel('tcost in Basis Points of Trade Value');\n",
1747 "plt.ylim(5,20);\n",
1748 "plt.colorbar();\n",
1749 "\n"
1750 ]
1751 },
1752 {
1753 "cell_type": "markdown",
1754 "metadata": {},
1755 "source": [
1756 "### The Breakdown: Permanent and Temporary\n",
1757 "\n",
1758 "For a typical stock, let's see how the tcost is broken down into permanent and temporary."
1759 ]
1760 },
1761 {
1762 "cell_type": "code",
1763 "execution_count": 29,
1764 "metadata": {
1765 "collapsed": false
1766 },
1767 "outputs": [
1768 {
1769 "data": {
1770 "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0MAAAH8CAYAAAATw3RmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEVFG+n8IIkHfcF1d3wAAAABJRU5ErkJggg==\n",
1771 "text/plain": [
1772 "<matplotlib.figure.Figure at 0x7f968633c0d0>"
1773 ]
1774 },
1775 "metadata": {},
1776 "output_type": "display_data"
1777 }
1778 ],
1779 "source": [
1780 "minutes = 30\n",
1781 "\n",
1782 "x = np.linspace(0.0001,0.03)\n",
1783 "\n",
1784 "f, (ax1, ax2) = plt.subplots(ncols=2, sharex=True, sharey=True)\n",
1785 "f.subplots_adjust(hspace=0.15)\n",
1786 " \n",
1787 "p = 0.5*perm_impact(x,0.20)\n",
1788 "t = tc_bps(x,minutes,0.20)\n",
1789 "ax1.fill_between(x*100, p, t, color='b', alpha=0.33);\n",
1790 "ax1.fill_between(x*100, 0, p, color='k', alpha=0.66);\n",
1791 "ax1.set_ylabel('tcost in bps')\n",
1792 "ax1.set_xlabel('Trade as % of ADV')\n",
1793 "ax1.set_title('tcost in bps of Trade Value; $\\sigma$ = 20%; time = 15 minutes');\n",
1794 "\n",
1795 "p = 0.5*perm_impact(x, 0.40)\n",
1796 "t = tc_bps(x,minutes, 0.40)\n",
1797 "ax2.fill_between(x*100, p, t, color='b', alpha=0.33);\n",
1798 "ax2.fill_between(x*100, 0, p, color='k', alpha=0.66);\n",
1799 "\n",
1800 "plt.xlabel('Trade as % of ADV')\n",
1801 "plt.title('tcost in bps of Trade Value; $\\sigma$ = 40%; time = 15 minutes');"
1802 ]
1803 },
1804 {
1805 "cell_type": "markdown",
1806 "metadata": {},
1807 "source": [
1808 "### Kissell et al Model (2004)\n",
1809 "\n",
1810 "This model assumes there is a theoretical instaenous impact cost $I^*$ incurred by the investor if all shares $Q$ were released to the market.\n",
1811 "\n",
1812 "$$ MI_{bp} = b_1 I^* POV^{a_4} + (1-b_1)I^*$$\n",
1813 "\n",
1814 "\n",
1815 "$$ I^* = a_1 (\\frac{Q}{ADV})^{a_2} \\sigma^{a_3}$$\n",
1816 "\n",
1817 "$$POV = \\frac{Q}{Q+V}$$\n",
1818 "\n",
1819 "* $I^*$ is instanteous impact\n",
1820 "* $POV$ is percentage of volume trading rate\n",
1821 "* $V$ is the expected volume in the interval of trading\n",
1822 "* $b_1$ is the temporary impact parameter\n",
1823 "* $ADV$ is 30 day average daily volume\n",
1824 "* $Q$ is order size\n",
1825 "\n",
1826 "\n",
1827 " Parameter | Fitted Values\n",
1828 " ------------- | -------------\n",
1829 " $b_1$ | 0.80\n",
1830 " $a_1$ | 750\n",
1831 " $a_2$ | 0.50\n",
1832 " $a_3$ | 0.75\n",
1833 " $a_4$ | 0.50"
1834 ]
1835 },
1836 {
1837 "cell_type": "code",
1838 "execution_count": 30,
1839 "metadata": {
1840 "collapsed": false
1841 },
1842 "outputs": [],
1843 "source": [
1844 "def kissell(adv, annual_vol, interval_vol, order_size):\n",
1845 " b1, a1, a2, a3, a4 = 0.9, 750., 0.2, 0.9, 0.5\n",
1846 " i_star = a1 * ((order_size/adv)**a2) * annual_vol**a3\n",
1847 " PoV = order_size/(order_size + adv)\n",
1848 " return b1 * i_star * PoV**a4 + (1 - b1) * i_star"
1849 ]
1850 },
1851 {
1852 "cell_type": "code",
1853 "execution_count": 31,
1854 "metadata": {
1855 "collapsed": false
1856 },
1857 "outputs": [
1858 {
1859 "name": "stdout",
1860 "output_type": "stream",
1861 "text": [
1862 "0.781932862915 bps\n"
1863 ]
1864 }
1865 ],
1866 "source": [
1867 "print kissell(adv = 5*10**6, annual_vol = 0.2, interval_vol = adv * 0.06, order_size = 0.01 * adv ), 'bps'"
1868 ]
1869 },
1870 {
1871 "cell_type": "code",
1872 "execution_count": 32,
1873 "metadata": {
1874 "collapsed": false
1875 },
1876 "outputs": [
1877 {
1878 "data": {
1879 "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0YAAAH8CAYAAAD16r8iAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n",
1880 "text/plain": [
1881 "<matplotlib.figure.Figure at 0x7f96868b8090>"
1882 ]
1883 },
1884 "metadata": {},
1885 "output_type": "display_data"
1886 }
1887 ],
1888 "source": [
1889 "x = np.linspace(0.0001,0.1)\n",
1890 "plt.plot(x,kissell(5*10**6,0.1, 2000*10**3, x*2000*10**3), label=\"$\\sigma$ = 10%\");\n",
1891 "plt.plot(x,kissell(5*10**6,0.25, 2000*10**3, x*2000*10**3), label=\"$\\sigma$ = 25%\");\n",
1892 "#plt.plot(x,kissell(5*10**6,0.40, 2000*10**3, x*2000*10**3), label=\"$\\sigma$ = 40%\");\n",
1893 "plt.ylabel('tcost in bps')\n",
1894 "plt.xlabel('Trade as % of ADV')\n",
1895 "plt.title('tcost in Basis Points of Trade Value; $\\sigma$ = 25% and 40%; time = 15 minutes');\n",
1896 "plt.legend();"
1897 ]
1898 },
1899 {
1900 "cell_type": "markdown",
1901 "metadata": {},
1902 "source": [
1903 "## The J.P. Morgan Market Impact Model\n",
1904 "\n",
1905 "\n",
1906 "$$MI(bps) = I \\times \\omega \\times \\frac{2 \\times PoV}{1 + PoV} + (1-\\omega) \\times I + S_c$$\n",
1907 "Where\n",
1908 "\n",
1909 "$$I = \\alpha \\times PoV^\\beta \\times Volatility^\\gamma$$\n",
1910 "\n",
1911 "* $\\omega$ is the fraction of temporary impact (liquidity cost)\n",
1912 "* $\\alpha$ is a scaling parameter\n",
1913 "* $PoV$ is relative order size as fraction of average daily volume\n",
1914 "* $S_c$ is the spread ( basis point difference between the bid and ask )\n"
1915 ]
1916 },
1917 {
1918 "cell_type": "markdown",
1919 "metadata": {},
1920 "source": [
1921 "For US equities, the fitted parameters as of June 2016 are\n",
1922 "\n",
1923 " Parameter | Fitted Value\n",
1924 " ------|-----\n",
1925 " b ($\\omega$) | 0.931\n",
1926 " a1 ($\\alpha$)| 168.5\n",
1927 " a2 ($\\beta$) | 0.1064\n",
1928 " a3 ($\\gamma$) | 0.9233\n"
1929 ]
1930 },
1931 {
1932 "cell_type": "code",
1933 "execution_count": 33,
1934 "metadata": {
1935 "collapsed": true
1936 },
1937 "outputs": [],
1938 "source": [
1939 "from __future__ import division\n",
1940 "\n",
1941 "def jpm_mi(size_shrs, adv, day_frac=1.0, spd=5,\n",
1942 " spd_frac=0.5, ann_vol=0.25, omega=0.92,\n",
1943 " alpha=350, beta=0.370, gamma=1.05):\n",
1944 "\n",
1945 " PoV = (size_shrs/(adv*day_frac))\n",
1946 " I = alpha*(PoV**beta)*(ann_vol**gamma)\n",
1947 " MI = I*omega*(2*PoV)/(1+PoV) + (1-omega)*I + spd*spd_frac\n",
1948 " return MI\n",
1949 "\n",
1950 "def jpm_mi_pct(pct_adv, **kwargs):\n",
1951 " return jpm_mi(pct_adv, 1.0, **kwargs)\n"
1952 ]
1953 },
1954 {
1955 "cell_type": "markdown",
1956 "metadata": {},
1957 "source": [
1958 "Let's assume the following order:\n",
1959 "* Buy 100,000 XYZ, trading at 10% of the volume\n",
1960 "* XYZ's ADV = 1,000,000 shares\n",
1961 "* XYZ Annualized Volatility = 25%\n",
1962 "* XYZ's Average Spread = 5 bps"
1963 ]
1964 },
1965 {
1966 "cell_type": "code",
1967 "execution_count": 34,
1968 "metadata": {
1969 "collapsed": false
1970 },
1971 "outputs": [
1972 {
1973 "name": "stdout",
1974 "output_type": "stream",
1975 "text": [
1976 "3.96 bps\n",
1977 "7.02 bps\n"
1978 ]
1979 }
1980 ],
1981 "source": [
1982 "spy_adv = 85603411.55\n",
1983 "print round(jpm_mi(size_shrs = 10000, adv = 1e6),2), 'bps' # 1% pct ADV order\n",
1984 "print round(jpm_mi(size_shrs = 0.05*spy_adv, adv = spy_adv, spd = 5, day_frac = 1.0),2), 'bps' # 5% pct ADV of SPY order"
1985 ]
1986 },
1987 {
1988 "cell_type": "markdown",
1989 "metadata": {
1990 "collapsed": true
1991 },
1992 "source": [
1993 "## Quantopian Volume Share Slippage\n",
1994 "\n",
1995 "The [Q `VolumeShareSlippage` model](https://www.quantopian.com/help#ide-slippage) expressed in the style of the equation below\n",
1996 "\n",
1997 "$$\\text{tcost} = 0.1 \\left| \\frac{X}{VT} \\right|^2 $$\n",
1998 "\n",
1999 "where $X$ is the number of shares you would like to trade; $T$ is the time width of the bar in % of a day; $V$ is the ADV of the stock.\n",
2000 "\n",
2001 "For more information on the Quantopian Slippage Model see : https://www.quantopian.com/help#ide-slippage"
2002 ]
2003 },
2004 {
2005 "cell_type": "code",
2006 "execution_count": 35,
2007 "metadata": {
2008 "collapsed": true
2009 },
2010 "outputs": [],
2011 "source": [
2012 "def tc_Q_vss_bps(pct_adv, minutes=1.0, minutes_in_day=60*6.5):\n",
2013 " day_frac = minutes / minutes_in_day\n",
2014 " tc_pct = 0.1 * abs(pct_adv/day_frac)**2\n",
2015 " return tc_pct*10000"
2016 ]
2017 },
2018 {
2019 "cell_type": "markdown",
2020 "metadata": {},
2021 "source": [
2022 "To reproduce the given Q examples, we trade over a bar"
2023 ]
2024 },
2025 {
2026 "cell_type": "code",
2027 "execution_count": 36,
2028 "metadata": {
2029 "collapsed": false
2030 },
2031 "outputs": [
2032 {
2033 "name": "stdout",
2034 "output_type": "stream",
2035 "text": [
2036 "10.0\n",
2037 "62.5\n"
2038 ]
2039 }
2040 ],
2041 "source": [
2042 "print tc_Q_vss_bps(pct_adv=0.1/390, minutes=1)\n",
2043 "print tc_Q_vss_bps(pct_adv=0.25/390, minutes=1)"
2044 ]
2045 },
2046 {
2047 "cell_type": "markdown",
2048 "metadata": {},
2049 "source": [
2050 "As this model is convex, it gives very high estimates for large trades."
2051 ]
2052 },
2053 {
2054 "cell_type": "code",
2055 "execution_count": 37,
2056 "metadata": {
2057 "collapsed": false
2058 },
2059 "outputs": [
2060 {
2061 "name": "stdout",
2062 "output_type": "stream",
2063 "text": [
2064 "1000.0\n",
2065 "250.0\n",
2066 "40.0\n"
2067 ]
2068 }
2069 ],
2070 "source": [
2071 "print tc_Q_vss_bps(pct_adv=0.1, minutes=0.1*60*6.5)\n",
2072 "print tc_Q_vss_bps(pct_adv=0.1, minutes=0.2*60*6.5)\n",
2073 "print tc_Q_vss_bps(pct_adv=0.1, minutes=0.5*60*6.5)"
2074 ]
2075 },
2076 {
2077 "cell_type": "markdown",
2078 "metadata": {},
2079 "source": [
2080 "Though for small trades, the results are comparable."
2081 ]
2082 },
2083 {
2084 "cell_type": "code",
2085 "execution_count": 38,
2086 "metadata": {
2087 "collapsed": false
2088 },
2089 "outputs": [
2090 {
2091 "name": "stdout",
2092 "output_type": "stream",
2093 "text": [
2094 "3.81208329371\n",
2095 "4.225\n"
2096 ]
2097 }
2098 ],
2099 "source": [
2100 "print tc_bps(pct_adv=0.005, minutes=30, annual_vol_pct=0.2)\n",
2101 "print tc_Q_vss_bps(pct_adv=0.005, minutes=30)"
2102 ]
2103 },
2104 {
2105 "cell_type": "code",
2106 "execution_count": 39,
2107 "metadata": {
2108 "collapsed": false
2109 },
2110 "outputs": [
2111 {
2112 "data": {
2113 "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0MAAAH6CAYAAADFmpd7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
2114 "text/plain": [
2115 "<matplotlib.figure.Figure at 0x7f968fec0b90>"
2116 ]
2117 },
2118 "metadata": {},
2119 "output_type": "display_data"
2120 }
2121 ],
2122 "source": [
2123 "x = np.linspace(0.0001, 0.01)\n",
2124 "plt.plot(x*100,tc_bps(x, 30, 0.20), label=\"Almgren $\\sigma$ = 20%\");\n",
2125 "plt.plot(x*100,tc_bps(x, 30, 0.40), label=\"Almgren $\\sigma$ = 40%\");\n",
2126 "plt.plot(x*100,tc_Q_vss_bps(x, minutes=30),label=\"Q VSS\");\n",
2127 "plt.plot(x*100,jpm_mi_pct(x, ann_vol=0.2), label=\"JPM MI1 $\\sigma$ = 20%\");\n",
2128 "plt.plot(x*100,jpm_mi_pct(x, ann_vol=0.4), label=\"JPM MI1 $\\sigma$ = 40%\");\n",
2129 "plt.plot(x*100,kissell(5*10**6,0.20, 2000*10**3, x*2000*10**3), label=\"Kissell $\\sigma$ = 20%\");\n",
2130 "plt.plot(x*100,kissell(5*10**6,0.40, 2000*10**3, x*2000*10**3), label=\"Kissell $\\sigma$ = 40%\", color='black');\n",
2131 "\n",
2132 "plt.ylabel('tcost in bps')\n",
2133 "plt.xlabel('Trade as % of ADV')\n",
2134 "plt.title('tcost in Basis Points of Trade Value; time = 30 minutes');\n",
2135 "plt.legend();"
2136 ]
2137 },
2138 {
2139 "cell_type": "markdown",
2140 "metadata": {},
2141 "source": [
2142 "## Conclusions\n",
2143 "\n",
2144 "### The following order atttributes leads to higher market impact:\n",
2145 "* Higher relative order size \n",
2146 "* Trading illquid names\n",
2147 "* Trading names with lower daily turnover (in terms of shares outstanding)\n",
2148 "* Shorter trade duration\n",
2149 "* Higher volatility names \n",
2150 "* More urgency or higher POV\n",
2151 "* Short term alpha\n",
2152 "* Trading earlier in the day\n",
2153 "* Trading names with wider spreads\n",
2154 "* Trading lower ADV names or on days when market volume is down\n"
2155 ]
2156 },
2157 {
2158 "cell_type": "markdown",
2159 "metadata": {
2160 "collapsed": true
2161 },
2162 "source": [
2163 "## References:\n",
2164 "\n",
2165 "* Almgren, R., Thum, C., Hauptmann, E., & Li, H. (2005). Direct estimation of equity market impact. Risk, 18(7), 5862.\n",
2166 "\n",
2167 "* Bennett, C. and Gil, M.A. (2012, Februrary) Measuring Historic Volatility, Santander Equity Derivatives Europe Retreived from: (http://www.todaysgroep.nl/media/236846/measuring_historic_volatility.pdf)\n",
2168 "\n",
2169 "* Garman, M. B., & Klass, M. J. (1980). On the estimation of security price volatilities from historical data. Journal of business, 67-78.\n",
2170 "\n",
2171 "* Kissell, R., Glantz, M., & Malamut, R. (2004). A practical framework for estimating transaction costs and developing optimal trading strategies to achieve best execution. Finance Research Letters, 1(1), 35-46.\n",
2172 "\n",
2173 "* Quantopian Slippage Model see : https://www.quantopian.com/help#ide-slippage\n"
2174 ]
2175 },
2176 {
2177 "cell_type": "markdown",
2178 "metadata": {
2179 "collapsed": true
2180 },
2181 "source": [
2182 "*The material on this website is provided for informational purposes only and does not constitute an offer to sell, a solicitation to buy, or a recommendation or endorsement for any security or strategy, nor does it constitute an offer to provide investment advisory services by Quantopian. In addition, the material offers no opinion with respect to the suitability of any security or specific investment. No information contained herein should be regarded as a suggestion to engage in or refrain from any investment-related course of action as none of Quantopian nor any of its affiliates is undertaking to provide investment advice, act as an adviser to any plan or entity subject to the Employee Retirement Income Security Act of 1974, as amended, individual retirement account or individual retirement annuity, or give advice in a fiduciary capacity with respect to the materials presented herein. If you are an individual retirement or other investor, contact your financial advisor or other fiduciary unrelated to Quantopian about whether any given investment idea, strategy, product or service described herein may be appropriate for your circumstances. All investments involve risk, including loss of principal. Quantopian makes no guarantees as to the accuracy or completeness of the views expressed in the website. The views are subject to change, and may have become unreliable for various reasons, including changes in market conditions or economic circumstances.*"
2183 ]
2184 }
2185 ],
2186 "metadata": {
2187 "anaconda-cloud": {},
2188 "kernelspec": {
2189 "display_name": "Python 2",
2190 "language": "python",
2191 "name": "python2"
2192 },
2193 "language_info": {
2194 "codemirror_mode": {
2195 "name": "ipython",
2196 "version": 2
2197 },
2198 "file_extension": ".py",
2199 "mimetype": "text/x-python",
2200 "name": "python",
2201 "nbconvert_exporter": "python",
2202 "pygments_lexer": "ipython2",
2203 "version": "2.7.12"
2204 }
2205 },
2206 "nbformat": 4,
2207 "nbformat_minor": 1
2208 }