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@lemiant
Created May 21, 2014 00:43
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Bitcoin Trading
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{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Arbitrage Research 1"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"0.0 Abstract"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The exchange rate between markets seems to be governed by two major forms of banded trading. The absolute exchange rate is kept relatively close, but is able to vary significantly due to the amount of friction in the traditional banking system. The variance in the exchange rate is also controlled. Perhaps more tightly, since it is much easier to move bitcoins back and forth between exchanges than fiat currency.\n",
"\n",
"While there is a lot of evidence of arbitrage already, it seems likely that a well-designed system has the opportunity to make a bit of money (especially if you can minimize friction), moreso on Virtex, probably because of its small size."
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"1.0 Arbitrage between Virtex and Bitstamp"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The development of pairs trading started out as a way of doing arbitrage. I determined that arbitrage was effective but slow.\n",
"Below are two early simulations of arbitrage between bitstamp and virtex"
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"1.1 Base Code"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"############ This section is reused in all code from sections 1 & 2 ##############\n",
"import csv\n",
"from matplotlib import pyplot as plt\n",
"import matplotlib\n",
"from datetime import datetime\n",
"import calendar\n",
"import math\n",
"import urllib2, re, json\n",
"import os\n",
"\n",
"START = \"01/08/13\"\n",
"\n",
"END = \"01/12/13\"\n",
"START = calendar.timegm(datetime.strptime(START, \"%d/%m/%y\").utctimetuple())\n",
"END = calendar.timegm(datetime.strptime(END, \"%d/%m/%y\").utctimetuple())\n",
"GRAN = 300\n",
"STARTG = START/GRAN\n",
"ENDG = END/GRAN\n",
"GRAINS = ENDG - STARTG + 1\n",
"\n",
"class Field:\n",
" def __init__(self, fileName):\n",
" self.h = open(fileName)\n",
" \n",
" def update(self):\n",
" row = self.h.readline().replace(\"\\n\", \"\").split(',')\n",
" self.g = int(row[0])\n",
" self.val = float(row[1])\n",
" \n",
"\n",
"def getHandle(symbol):\n",
" global STARTG\n",
" \n",
" cur = Field('../data/cache/'+symbol+\".csv\")\n",
" cur.update()\n",
" while cur.g < STARTG:\n",
" cur.update()\n",
" return cur\n",
"\n",
"def display(ind, *args):\n",
" for axis in args:\n",
" plt.plot(ind, axis)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"############ This code is reused in both section 1 examples ############\n",
"v = getHandle(\"virtexCAD\")\n",
"s = getHandle(\"bitstampUSD\")\n",
"b = getHandle(\"btceUSD\")\n",
"c = getHandle(\"CAD\")\n",
"\n",
"dates = []\n",
"virtex = []\n",
"stamp = []\n",
"btc = []\n",
"profit = []\n",
"for i in range(STARTG, ENDG+1):\n",
" dates.append(datetime.fromtimestamp(v.g*GRAN))\n",
" virtex.append(v.val*c.val)\n",
" stamp.append(s.val)\n",
" btc.append(b.val)\n",
"\n",
" prft = stamp[-1]/virtex[-1]*.98 -1\n",
" profit.append(prft)\n",
" \n",
" \n",
" s.update()\n",
" v.update()\n",
" b.update()\n",
" c.update()\n",
"\n",
"delta = [(stamp[x] - virtex[x]) / virtex[x] * 1000 for x in range(0, GRAINS)]\n",
"\n",
"def arbitrage_model( LAG ):\n",
" \n",
" last = 0\n",
" run = 1000\n",
" fired = True\n",
" dollars = []\n",
" for i in range(0, GRAINS+1, LAG):\n",
" if i == 0: continue\n",
" part = profit[last:i]\n",
" part.sort()\n",
" best = part[-24]\n",
" chng = run*best# - 30\n",
" \n",
" if fired: fired = False\n",
" elif chng > 0:\n",
" fired = True\n",
" run += chng\n",
" \n",
" for n in range(last, i):\n",
" dollars.append(run)\n",
" last = i\n",
" \n",
" for i in range(last, GRAINS):\n",
" dollars.append(run)\n",
" \n",
" display(dates, virtex, stamp, delta, profit, dollars)\n",
" \n",
" plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"1.2 Arbitrage between Bitstamp and Vertex (2 Weeks per cycle)"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"arbitrage_model( LAG = 7*24*60*60/300 )"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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/fmDYv/20LF4MBAQAzzyjPnPfvMnfzgrw9YwAfz1Ck65d1Q/v0gXw9AT+/FNp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\nge2z21MJgQMAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x73072e8>"
]
}
],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"*The purple line is USD*"
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"1.3 Arbitrage between Bitstamp and Vertex (2 Days per cycle)"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"arbitrage_model( LAG = 24*60*60/300 ) #7*24*60*60/300 )"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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IyLUh3ZRMCNGTSeH4mWgobqD682qXtsaSRuzVdka8O8K1YwN4DvA8j+mEEL2J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\n",
"text": [
"<matplotlib.figure.Figure at 0x7c2d6a0>"
]
}
],
"prompt_number": 4
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"*The purple line is USD*"
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"1.4 Summary"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"These graphs account for proportional fees (although not the $30 in static fees). This means that the second graph, is actually very desireable. Unfortunately the speed of arbitrage maxes out at the first graph due to the restrictions imposed by the traditional banking system."
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"1.5 Extensions"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"These graphs determine which exchange rate they will receive by grabbing the tick which is two hours of ticks below the absolute maximum exchange rate. This method is not realistic for two reasons:\n",
"\n",
"1. It determines when it would trade within a given timeblock with the benefit of retrospect\n",
"2. Conversion rates between excahanges are calculated instantaneously when in actual fact it takes one hour to move between exchanges\n",
"\n",
"The first improvement to make would be to implement these two improvements to the model and see if arbitrage is still profitable, if so then look into using realtime data and finally setting up the necessary infrastructure."
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"2.0 Arbitrage without the back"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The main problem in doing arbitrage was that the standard financial institutions took a very long time to process money. The principle behind this next strategy is that I liked arbitrage, but needed to speed up my transaction rate. **If** there was enough volatility in the exchange rate then I could avoid using standard financial transactions entirely. Simply shift from one exchange to another when the exchange rate was adventageuos then wait for the exchange rate to cycle around and trade back on the other side. This is a kind of arbitrage, but exploits an entirely different portion of the intra-exchange conversion rate. It trades based on volatility and mean reversion rather than sustained mispricing."
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"2.1 Base Code"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"## Run the opening block from the start of this document.\n",
"\n",
"class EMA:\n",
" def __init__(self, terms):\n",
" self.alpha = 2/(terms+1.0)\n",
" self.ema = None\n",
" self.pts = []\n",
" def tick(self, val):\n",
" if self.ema is None: self.ema = val\n",
" else: self.ema += self.alpha*(val-self.ema)\n",
" self.pts.append(self.ema)\n",
" def get(self):\n",
" return self.ema\n",
" def lst(self):\n",
" return self.pts\n",
"\n",
"class SIM():\n",
" def __init__(self, fees = 0.0, tt=12): \n",
" self.TT = tt\n",
" self.keep = 1.0-fees\n",
" self.rates = []\n",
" self.exc = 0\n",
" self.trans_age = -1\n",
" self.balance = 400\n",
" self.USD = 1000\n",
" \n",
" def tick(self, *args):\n",
" self.rates = args\n",
" if self.trans_age > 0:\n",
" self.trans_age -= 1\n",
" elif self.trans_age == 0:\n",
" self.balance = self.balance/self.rates[self.exc]*self.keep\n",
" self.USD = self.balance\n",
" self.trans_age = -1\n",
" \n",
" def send_to(self, target):\n",
" if self.trans_age == -1 and target != self.exc:\n",
" self.trans_age = self.TT\n",
" self.balance = self.balance*self.rates[self.exc]\n",
" self.exc = target\n",
" \n",
" def get(self):\n",
" return self.USD\n",
"\n",
"def back_and_forth_model(fees = 0, bounds = 12, transit_time=12, exc=\"btceUSD\"):\n",
" s = getHandle(\"bitstampUSD\")\n",
" b = getHandle(exc)\n",
" \n",
" dates = []\n",
"\n",
" stamp = []\n",
" btc = []\n",
" xchng = []\n",
" #mav = EMA(12*12)\n",
" av = EMA(5*24*12)\n",
" arbicycle = SIM(fees=fees, tt=transit_time)\n",
" dollars = []\n",
" profit = []\n",
" state = 1000\n",
" count = 0\n",
" \n",
" for i in range(STARTG, ENDG+1):\n",
" dates.append(datetime.fromtimestamp(s.g*GRAN))\n",
" stamp.append(s.val)\n",
" btc.append(b.val)\n",
" \n",
" arbicycle.tick(s.val, b.val)\n",
" \n",
" xchng.append(stamp[-1] / btc[-1] * 1000)\n",
" #mav.tick((stamp[-1]+btc[-1])/2)\n",
" av.tick(xchng[-1])\n",
" if xchng[-1] - av.get() > bounds and not state == 1200:\n",
" state = 1200\n",
" arbicycle.send_to(1)\n",
" count += 1\n",
" elif xchng[-1] - av.get() < -bounds and not state == 800:\n",
" state = 800\n",
" arbicycle.send_to(0)\n",
" \n",
" profit.append(state)\n",
" dollars.append(arbicycle.get())\n",
" \n",
" s.update()\n",
" b.update()\n",
" #plt.plot(stamp)\n",
" display(dates, stamp, btc, xchng, av.lst(), profit, dollars)\n",
" \n",
" plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 38
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"2.2 Back and Forth (No Fees)"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"back_and_forth_model(bounds=10)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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BXXqpNyHwML9q5Pr1JVmn1tcT2bMnT2dlqbtHAbxWxydT4LMJUNneHmQSTerS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\nRK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x7c2d080>"
]
}
],
"prompt_number": 39
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"back_and_forth_model(transit_time=1, bounds=5)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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lGI1GDAYD5eXlXukGg8Fv/p6BQQjRfaqq8uWXD9DScsKdduWVz1/EEom+0PGE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\n+uwAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x743f8d0>"
]
}
],
"prompt_number": 77
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"2.3 Back and Forth (Real Fees)"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"back_and_forth_model(fees=0.007)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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+xdq7be5N2rKZi8aP58X//pdb7ruPqR9nMO0zuPXuezjS73KueaMr5b1zWD11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\novD/AfmHxLQf/uTWAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x8d56d30>"
]
}
],
"prompt_number": 26
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"back_and_forth_model(fees=0.007, transit_time=1, bounds=15)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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Qy6oqtfi/MGe64iTdsQPGzwGc9Lx44Xm4+lXLvmma3/37gVyX2aM32LZz2isE\nsFUIoCgEcGgKkB9/nJPx8WzJy+OHYcPYkJ/Pxv79iW5vZ/ZrbYwpg8MZGQylkezq40AcAKn1dfxy\nx920xrXTEhVFS2QkzdHRRGm1JDU2UtH6b6qun05V05k00os5a9+kISYGrUbD8aQkGmNiaIqOplnO\nIaa9gH+vXs2gkhLW8yR9yssZVroS/vAHWLkSbr8d7lijNEb961/ItROhVqd8EO41NlJNmADdo5BQ\nTGeALi0t/PGNN/gjoFep2JOTw/r8fL7T65k7ahTaL76gZ2UlfcvKuGhpAvG1XUiqjOf2m+7kcEYG\nO3NzOZGQQFxrK/nPP895v/7KyN27SW5sJFmSSCovJ7mhgQi9u2anq2x3IyIBY/wHHlBq4xddZOlN\nY8+qVUozz5w5VitgPYZkPKdDmZns6tGD3ca/XT178pTx1qu/+w6NXk+UVkukVssnxtainKrjvHfB\nBdx7220c69qVSOM96/ree2TU1qJ5+mnUBgNatZqbn8tEbZD56T9vEPe/Qwxcv56IggIaY2LQq1QY\n5s5Fjo7GcMYZGFQqZECr0VCTkEBNly5UpKRQE53ItXFxZL79CS2RkfQtL6dnRQWp9fUMrk6m+8ko\nkGRijPetLC2dY3Hp9GpJRQKeXLCASTfd5Lz5Ji7OxXVXXhjV5EuQSrpBMSBJSPFxMKoA2AH/fh35\n4YNw3enIy409kh56CJ54wiG3vLIy8spsKwwNMTEU5+ZSkpXFwW7dWDNwIK9u387eL75Ao9fTFB3N\nde9ryaiCl+68jOj2dgbW1fHYHxuRDAlcuvoXXpx4MbG7drEGmfGbNnLppi9ZyaUAROm0aMbaTzct\nIU2eDMtaidAb+Mvll/MX45F2jYZjXbtyJD2d+rqrUUmtTHzuY5rL7uPd7dXM3B1pfHJs+bVvX34a\nNowF3bu7uJbO8bUL9/L9y/kTf/Ipjbe4VQo33ngjd9xxB9OnW/oAz5s3j3HjxnH//ffz9NNPM2/e\nPObNm0dxcTGLFy+muLiYsrIyLrjgAkpKSpAkidtuu40FCxZQWFjIpEmTWL58ORMnTvRKQO2xcsjO\nNu69hE6l4nBaBmWpqVQnJnIiIYHjSUnEl/cj58QJ5BdfpODSS+GSi4EvnDuD1q4FspRa0kPzQR8L\nT72s1CSdIAMVKSnszM3lQPfunDC+pCfj42mIjaU6MZEj6ekcTU8nSqul/9GjjNu4kdk33MDIVavo\nNnUqB7k+gSMTAAAgAElEQVSRw0znb++/R5cT69n8/AfUW5WRWl9HZP1JZefll5U+2DodFBZSeRSk\nimPQ5SokoGt9PV3rldTWL1cTOexgIoXPPaf4FaSVyoLgkqQ0fZSWKhEffBCeelFpBllsTHzPPfDk\nKqiTQSW5bftWGwwUHD5MweHDzPzf/5CBurg4Dmdmsjc7myb9ZCRZRpYk+paVcf7mzRTk5pLx2Wc0\nxsSwo1cvlhcW8sLVV1MbH0+t8VqejI8nSqslrqUFWZIsfygWz+WfqLjhbYscfd95F42sJUpr/Cst\nJeqVV4iaN88cpjYYUBkMxLa1EfPdd8R++SUx7e0YZsygOjGR4SsGsPK8fnwy+W+kt7WRv2cP+RMn\nMjIpiRsmT0ZGUR66Cy5AZdUUudLoa5iy8gf+tHKz+Tlpio6mLj6e44mJVCUno1ep0KtUROp0RJ7M\nQa9SkdDUxIbERN655RYMKhXxLS1mOVWyjMpgQJJlVLKMRq8npaGBlPp6cisqOPPYQeJah7LhT38i\nu7UV6a674MknATjEDZzgDCT01JMMSDz43rs0kUsl45m14Cb4+Wf//Rp33AkflEKxqWnUidM8PlZp\nVl1vPLBiheLIBXjkEVvLyIouLS2M2rWLUbt2WQKfeYaWyEjaIyKIb2nhgPpaWlQZ/OPrV4jU6WDf\nPjY2fEcbUeTPnUvslXlKE6XkZK0CZ7X266+Hs9Jh2ae24VlZRJaV0bOykp6VlRxgFOq/30vPQ0fY\nsreFJ174F2Oveo09OTnE27Zo8sasWTxeWEi8p66nASL74jT1EbeSn3322Rw6dMgmbNmyZaxatQqA\nGTNmMHbsWObNm8fSpUuZOnUqERER5Obm0rdvX9atW0fPnj1paGigsLAQgOnTp7NkyRKXSuGSp56i\nmUweelDZn3/ppbx94wQi9Hqe+FssN938LJU5tWRXV5NeW0tqXR2pdXXEVKioLivnntRUqnfs4MzH\nn+S+h2HJ6l8469FN5D/yiEUb//QjMNXYVHCtEmZqGzeya+ZMXhg0iG+6d6ciJYW41lYGHzhA72PH\nzOXmlZXRpbmZlJgYeo4fT85FFxG3Zo3SBLJ6teJwvPZapTngGsWmln78yegItvOKz5sHG79V5pS5\n/XaLdfLDD5C+SZG9d284ICtO0GHDlJp/bq7yB7DlBFxZbOtoNjmic3KUP4D4OKVm3asXcNjSfKbR\nANZtlS4evPXrwXg/QUme1NRE0v79DN2/n0P0oIVsThLH3ampykdh+XJ47z2SmprIrq5m4oYNDtnK\nYLZ6JECSZcsfUK6/ghPMMMf/7t57aY9SK006pr/ISJt9vVqNQZJoiYqiOSrK/KuSZfofPUqWWs0d\nulb+df75xNk7h886i5XGgb8qkzVZWwuHD8Pwkw7yS0B8ayvxra1kVRt7m0VGKs1fDQ2sT/gUkLn8\nl1+49RcvZ+ycN09R3iNHgkpF+4VT2ZCcTM68eXDOOcq9nzNHcXqOMPq+8vPB1Fvy4Ufg8UUw9jw4\n80zlzx2Z3cDZ2C+AqEhj81uj5YTtr4Ek2TZ/2U+b8cADloXrZVlZsvL772HnTujbV+l9ExlpVlwx\n7e3EGDtXRBu0SLQRiU5RhH36AMZuth7a7iWVlbB/uQ/iZSg1OO9kcPSoY36xMYrD/t2XiNJp+bCg\ngPcG1zDJTin82rMnL6Snu5XFHTIg9eypPGPuCGGXb5/VWWVlJRkZisc9IyODSuPAqPLyckaPHm2O\nl52dTVlZGREREWSba/qQlZVFmZ3paM2sr78mu0xPE/8A4M5PP+PJ/y1Cq1azX/c83+ScRdfJZ9t+\nxG+/naqVP3AcmZIbHqMyOZnNvYYAwyjvmsaEAdkk/fgjt+flMb6pCYOxp9K+7t2pbE+nRZPEtr5n\nEdfayp6cHL685hp+7d6d2/R6Vlx/Pd1PnCCutRX+/nd49lmlzB9/VF7KX3+17TNuchZecYUlbMoU\nWDcQnj8OCV2UsDPGwBqjrZCWDjMvggf+6HhBEhIstZz77kXe2gjD+iv7Y8faxo2OVl4oa1zVCmW7\nX7AdEQugiYDifdAjU8l72zalV9TIkYrT1DQBmYmXXjK2oVuVaT1lxurV8O678M9/OhVJmjCBLkVF\ndBk+XLm+SUlKbc7YdNlME9adI3tWVaH6daPS7XfnTpt5eXj8caUn0P/+B2lpilKyfll37ICBA9lx\n+Q4yJmY4KgRQfA7/XGkblpxs/DCawp0NnJJtnfAAXbog9+uPtHe3rap97z247jolzRdfwLhxNh9F\nB955BwZugFmzLGEpKcrfE0/A0hOgkTF/uKdNg6GXwruVzvOzZ8Rp8KWVxTx0KGw1SqxWO56u/SA5\nT12RY2Lg66+VSg0oCuLii5U/V5SUKL6+O3+G3oXw5XN2lTjJWKHBNsyaSKseY5KEHBkBsmUsgI3I\nkqT4he67Dz7/HJbnOOQ99PXX0a46TiMTbI68kNvT/XgET7z3Pvz7X4pSkGXF2u9gArJxJEkK+nQG\nW886i007D1N68C2GMYxsINE4/P5I4SDU3TIsXQLT0y2jdV8919zvOKO2lgtqN/MLMHvZUh5e9hPf\njhjBf6ZN49EePZg8ZQrXLoYJzzzDFR9HklynY/0fIqiPjaVfaSnXn3suS9LSiFarlY++wQADBii1\nLINB6Tp69tm+9VGPN9aO7DqHOGw7w/SyeXGp7e+Hs/vjNo71Kakk6JEDUSrLuW7Zovz27w+DBikf\n1y+/VHqBaTQWx+rUa+EXu2kTRo9W/kxKQaezKDx7p/055yi/zzwDr7yilDHjC7BqPqKtDSJVYHJi\narVKV9DbblN6Adk3GdTUKB/rbt3sLojDJfKdwkLFiigpUfbtLE+lHAky0qESZRzLRx8pzR2mtnx3\nH0Yv5DUNXlNpguTg1GqVa6j6RMlfJTlUIvyaJdXLpmNA6QKsUilWxN5hUN5md22Ng9dMlS1cDF6L\nsPrUObx7VvFNHRFuvVX5A+Sv91vS9OwJh4F77yWRO7DvY1ho9K/6hwFUakUReRi8pj2i5S3eCqAs\n1/isFDIyMqioqCAzM5Njx46Rbqx9ZWVlcdSqy2BpaSnZ2dlkZWVRamrLNoZnZWW5zP/RoiJaP1/P\n2s9NvoASS21KY6WB7R/Ghx6GJ352kqPSaXHcpk2MMy6Isp9bOcpU9l9/PYeZhv7ia5j70EPO8zV1\nMbUepXnppS7l9xevh9m7i+ZLM6MrSwFbJeFWrvPOU5TCpEnKvqkb7iOPwqFW1/K8955iZVh/tF1V\nLiZOtHxEhgwFrAZE2edvqqG99przvJxMMBb4NCeSpcwlS5SmNVfIICUnw5grFOvFNLjKl+fJm8GY\n1jreekU0X/GmXVx2Uk4wmruPHlV6Ilo14/h2ryS3u8hW+aWkQI0xggu/opkePeCwm4sZaI8jlUpp\nHUhIcBtN00PDTGaa9xexKLByrUXwNcHkyZNZtEgRYNGiRVxmHLQzefJkPvzwQ9rb2zl48CAlJSUU\nFhaSmZlJQkIC69atQ5Zl3nnnHXMalwweZNm+e44y8ta4apLLwWtDh8AVV1rm/Cma5zr/LsZaRU0N\n3HyLUuNtaAhotKVH7C0EPywFr6wyb15++ziu0njKy76nkKkG58mCnDbNODAsTAjUUrjjDsWSfPxx\npZnKHREayzoG/uLufvmrAPwp14kCCFrLQXa2uabuTgYJGVQau3CjUNbNm1bH7aetlwqMU8jYzw1l\nlZ05jcrD+akDOX/vb54shc7R7FYpTJ06lTFjxrBnzx5ycnJYuHAhf/3rX/nmm2/o168f33//PX/9\n618BKCgoYMqUKRQUFHDhhRcyf/5884WcP38+N998M3l5efTt29dzzyP72kFEhLG5xpszMjZ13HKL\nkt7+eE6OcfARSs2xVy+jhzA+8NGmgeDtPfbVUnB1Sk4sBWczuLotz95U1mhAli3rPwT5ubWvKYbD\n1NkgKb3FXE2FbF9WgNfFq8GYdvcv8IWTrB8SF4e89SkESQwziUm2/gIzkrlXFjhRViZ5TaR0tbQK\neCmGHArtGwazC7u1Dz/44AOn4d9aDUSxZu7cucydO9chfMSIEeZxDl7h7rp4qiUZcfnyLF0KHyYA\nR50fDxHuFtnxVLsKaJEdb+K4aaN2y8MPm5WvX3KECR06zXcwinLzDpiXQg0F9rV000p9buIEXQT7\nc+uXh7y32bbc1FR44R248g+YOwS4sMz9WmRn7oPwjyneyecjsuTdGP3q+6tZ8/QazxH94Lc/IV7v\nPsoUBaBYEPYTaYXS3PaFIFgKvtScna4z66xpy12WUVGW7rA2mfsuj1fYZxeM7APMw6fkzvw4wS7Q\n2TWSQ6j4rM7J/drFQSzLU3hCArJVT0iXafz9tpj9BkG+piqV4qfzKmroPt3hN81FIDi7yfPmwXkq\n5+2Tpwqhaz4MHeGgaMOQkFsloa7kuGo+cnW8Iwj1+2Gf/96S0JQjSTYO5p9+Ck0xnghPS8FFTdVt\n26i7tvPUVNs5bbzNM5jYNxvZm7MeHmyTmetxkR1vm4+sa62unOD+tg+baqbBfllDZSkEdP+9Txys\nRXa8WnnNKn7QFIU7R7O1RRJKn4IrGTy9T3bHbXpLeXNPrN+J4l12gS7K8RH7++pu7shQVi7CUyn4\nid+L7IQ7p+K5CEvBOaE2FEJRyXHTzbKjfQpeyRDq/E86jmYPXmGWzYEDQ1eMO8JSKbgcTOWuxuOp\nl40rOuqD66o2btz2qqbiqeburBbprDJjXZvzUPP0ewnUUPRCCYGlEPBHtG+eD4UR+HVx8w6Y7qvD\nOJNAr5Nslb9NgZZjQR+n4EwMZ/fKWJ5Dxw0PloJNryxvZHb23rqL5w92afPcPVohVL5hqRT8xk/H\nUdgvMt/Biiso1yNUlzTcbpXHGX9t6TSfQkDFemiyDFo5fuJCPOsKTUDX3T7/UFbhrcryMKg5ZISn\nUnBz/9yuvBaE/EOGB0vBm/RhN3jNXREd1C0ybPMMZVme7lewz8c0UtyL5ybkSs/eWHHlo3OXhf3g\nNS9ktinH3bTYQbQUDlW6GV39e7YUfPITOBmn4PNgn87C266mHpqPHPDUrGbdI9XXwWuusg7l4DXJ\nbj/gTDswfRCaVzpl8Jq7QV12juZQNh953SXVWh4T9ufvS5dUu2PyFcp653K6/VKcgWO6vwYDzH5w\nv4fYoSE8lYK7BzgEtdqOIJDBa+Z0/lgB3sRx10btL6EyFEJQExWD1zwUZ/3sSrbhnT54TXKi9Dw1\nn9mdgy/vjCRJyhTiAJLj5zNY74xaDRjcjBj4PVsKPvkJnMX1Jk04KBRvayreWhSeigvG4DWXmeO/\nk9qLfG32g5FnIMl9OcdgdNn09Xm27ioaCqzes6B0ufWmLC/CHRzsQbQUzPsBzYjqRVk6L6ZOCQHh\nqRR+g5aCg4Xgo0/B1xqNTToPcYRPIQR5hrAsn8YpBBNnz429odDBPgWn5+zJ12Ef15f3yvTb0KDM\nx+ZJPh9wuHYqrfOIzuIGkfBUCtY48RO4jOqs7d1TE2xHDV7zhJc1FY+D13wtz1ltKkiWQki6pIaZ\npeBL+mANXvN43ImlELJnPIx9Ck6tYNNhO0vC3T1xOCZjnEAzBJ9PGcvs/er24OfvBWGpFNxqwVPc\nUgik95HXFoWPcdzWPP3lFPIpnGqWgjsfUCgnxHPZnu+FbMETwnHf/pw9nn8wLAVv5fMFY9q2NuBR\nCUa6WBck0HI8EJZKwQZffAqe0rvIMxzGKYRskR1Xp+bGUvB6kR1PcoTCUnC370+WgbZ/B2qdBbs8\n+0ptIIvs+CCPTc07VC4FV/fK0zsOTn0Kfs+AEOLzPHDAuHHagtAU4IHwVwq+EKgCCVdC+REJFR3V\nrn2KcUpOiGffW8e+PBdxOwxfmpWCmX8okDtvegsT4akUrB4se23u6+C1sBmn4Kn5yNODJ3nRc8Xb\nc7EuzyqNgxPcz/Zhszkf7M5HoRqnEMj997WGGWCbu8dJIZ34FILmN3PnaLbu5RRKn4KzjhTOHM1u\nlJU5jTGdNzJbvxtux0B5uM4rVigrsTovxLThxQX8XTcf+YIPTunfDZ1VsxaWgnNCbSh0cMeJcJgQ\nzyXWfuZgTnMRAD/8ANXVboqSZS66tC14BfpBeCoFd/cvGI5mZzWeEBPo4DV/u6R6FceFFSMGr4WA\nEDqa3d23UMxn5VV35yDjcsJHXzpu2FsNPrwznq6jp+MtLcrvrFmuyzj3/Bav5QkF4akUrPHFT+As\nro+OuU7DlQ/NWXc4V1kEOnjNB7k8pnHWMyVQwrBLalgOXrPfD+ZtcOKwNf122uA1Z1E7YvCaH6dp\nUgoLF7ouq7HNC6UQQsJTKYTaUghmWh/L8HfwmtfxvLGCvLQUgjoQJ1iEItuObPIIRoXdn8FrwbJQ\n7D+09q1HnTF4zT7c0/nbb/vyXvlghTjj9dfdJJUkWprh8fV3exZHDF4zboZq8Fo44GUPipAOXgs0\nT+s0ATpU3eZrvR+MPDsofYcNXrPfD+UjbudoDsl9ty/Ly7geB6R5+W1xaa0HeJ5tbZaZMo4dU363\nbQN6KOtwls4pDawAPwlLpdDRg9c6pE3ZXS3c29qHF2IGNHjNnTXjK6eQT+FUsxRc5WGeoC7YloL1\nc2H33IbD4DXwwkcXJpaCNStXQl2dsm5C9+4gSzB+PLDmHpIO3khWQlZQyvGVsFQKNvxOfApeD8zx\npe0TXD88obSkTiFLoaMHr3W0TyEoK695UV6HrbzmdWRbOZyNr/B7Sno/LQW93nZ/4kTld9gw5bet\n1fh4q3RceE7wp+X2Fr+VQlFREQMHDmTw4MFMmzaNtrY2ampqGDduHP369WP8+PGctFrLtKioiLy8\nPPLz81mxYoX7zN0ZCsFYZKczCIKlIBbZQfgU3OXhzqcQDJw9N53sU/DaR2cVFvAiOz7IZ81HHzkP\n37NH+W0zzX/XdS/qZA9NR+FmKRw6dIj//Oc/bN68me3bt6PX6/nwww+ZN28e48aNY+/evZx//vnM\nmzcPgOLiYhYvXkxxcTHLly9n9uzZGAwGr8oKySI79hZFOOiTIPQ+CtSnENRFdvxM61W+Lvb9y7QD\n0wehLdrn3mJWvYL8xt0H196n4EyGYOHrtQ5R7yOve+7ZMW2a7f6oUS4KG/4Wn+/53Ke8g4lfSiEh\nIYGIiAiam5vR6XQ0NzfTvXt3li1bxowZMwCYMWMGS5YsAWDp0qVMnTqViIgIcnNz6du3L+vXrw/e\nWQhc0mkWVEfVVk81Qix/R3ecCOvBa9aEkVznnqv8rlvnOk5dW13HCOMEN0v7uCYlJYV7772XHj16\nEBMTw4QJExg3bhyVlZVkZChtYRkZGVRWVgJQXl7O6NGjzemzs7MpKytzXYDVDWw/1s7JH5VmKH2j\n3q3prK3RmuO2H1OmnW3e3WwOM9GyX+kHfPLHk7QeaSVuYJzX5+4vngavNaxvMMtsjayzquVJ0F7Z\n7nA+JpqKm7xuPmorb7Oc/6A4G9msZaxfXY8m2bfHpO1oGzF9YzBoDS5l9Ye2w202161+dT2aJL8e\nYTO6Wl1AirNpZxMRaRFexTW0GUCC5j2Oz6S3tJW2uX0H5DbbGUMbNzfSeqjVr3M0ydh2uM2cv01x\nkkRLifIutexvQdYrz6q+SR/U+26i9XArMb3sFp5x0RzbsKmB9koXU09L0HqkFW2V1uw8b9rehDpe\n7TR6W3mb+R2RJImmHU1oEjS0Vzjm7811XrkSXEX767Sd/PfQEC7tf6n7axhCJefXG7V//35efPFF\nDh06RGJiIldffTXvvvuuTRxJktxeIFfHHn30UWS9TFXfKgqzCklsSOTg3w8CEN0rmsjMSKfpontF\no45Xm+MCoFI+HPWr623i6psUj48pbsZ1oXfqxA2NI35EPBEpygck8dxEWg62ENMnhpjeMZT/u9xl\n2tRLlTVyY/NjkXWy7TnakXx+snk7664sUiamOMoyKI6qD6os53+9cv4pE1No6deCKlIxILte3JWj\nzx318UwVMqdn0ril0a2s/pAxI4OGjQ3oG/Qc/T//ZLNGk6ghOjfa5fHeT/d2+gImnp1I3U911H5b\nS+23tV6V1eX0LnSd1JXjHx+nfk295wQucHZPAeIGxxE3OI7EsxKRZZnqT6qpfE+pmJnusScyZ2RS\n82UNmq4a872TNBKyTiYyPZK0q9JoPdCqyDEphcYtjXQp7EJzcTPJ45OJyo4ipl9M0O+7ibQrbCcO\nSjpP6dMZlR1lDksZn0LFWxU28XIfzjVvxw+Pp2Z5DUgQ0y+GpHOTOPHlCU58ecJluSalkHhOIic+\nP0HNVzXKvvE5MKFOcK5YvGF13jqyV8czyzCLMSVjOPiVcg273dwNVbSKqg+r0FZrSb8unVU/rWJx\n78XoanRE5UTBdr+LdUT2gw8//FC+6aabzPtvv/22PHv2bDk/P18+duyYLMuyXF5eLvfv31+WZVku\nKiqSi4qKzPEnTJggr1271iFfP8URCASCTuGNTW/Iu4/v9iouyPLDD1u2QZbT0mQ5Lk6Wly+XZe7I\nkz9YsccvOYL57fTLp5Cfn8/atWtpaWlBlmW+/fZbCgoKuOSSS1i0aBEAixYt4rLLLgNg8uTJfPjh\nh7S3t3Pw4EFKSkooLCwMll4TCASCTuHmz2+m6Ocij/FMDSNTp9qGHz8OjY0wYQIg6Vm9uvNHCfjV\nfDR06FCmT5/O6aefjkql4rTTTuPWW2+loaGBKVOmsGDBAnJzc/nI2AeroKCAKVOmUFBQgEajYf78\n+eHfhVQgEAi8QOXDspz9+9vuP/ig1Y5koH+e/81PwUIymh5hgXlEpkAgEJwCSI9J3DT8Jt6Y/Ib7\neMY68PvbPuDhlQ+z784SAJqbIcboO4//e09W3fgjI/r09F2OIH47A+u6IRAIBL9zJB+6Ak371Haw\nQoRVx7WkFD3pqZ3ffNT5EggEAsEpjEpS0d5+3LdEQ5TemhqrarlBNqBWdX7zkVAKAoFAEACSJLF6\ndTqtrUfcxrPxJ1xxAxdeaHtcL+t98k+Eis6XQCAQCE5hIiTTTHfO2/SPGHXFs8/ahn/1le2+QTYI\npSAQCASnOtEqHQCy7Hw+t7uNa+ZceJHOJnz+hvlc/P7F5n2DbEAtdX7zkXA0CwQCQQDo2iSIAVnW\nOz3+2WfK7/cHvwdgUt4kNh/bzJ+/+jMAlY2VZD6XCfjWvTVUdL4EAoFAcArz4Z6FAMiyzuHYlVda\ntie8OwGAC/teSEWjZRoOk0IAoRQEAoHglOfMrspva+t+h2OffuoY/9eKXwGYOWymw7FwGNQrlIJA\nIBAEwJBE5bek5E6XcaZPt2wv2LIAUHwI9iREJQRVNn8QSkEgEAgCQG2s3Ot0rmfLfftt5feC3hdY\nwra+bRPnvNzzgi6bPwilIBAIBAGgMX9FbT+nqalWO8Zuq/ld853m8frFr/P9jO/9Kr+pabdf6Vwh\nlIJAIBAEgMZoKXTpMtwm/IT18gyPKB09bx1xK+P7jHfIY9bwWX6VXVe3mg0bBviV1hVCKQgEAkEA\nmJRCbe13HuMOzhjMl9O+tAm7pN8lfk9vsWXLmX6lc4cYpyAQCARBwcmI5rhKSD5gE6RRWT67X037\nigvzLrRP5ZaGhl/Raqupq/vZLyk9IZSCQCAQBMA3lTBUWRWU1tbDqFSxACQmAvdbxiC8Nmm+eeK8\nROPsqKO65ZvDVKoYNJp4j+Vt3XoBsbF51NevDd5JWCHWUxAIBAI/kR6TmJABd/TrQpyqAZUqFrVa\nUQrHjwOx1ea4aXEWz/PxJiU8NTYVScL43dNz1lnu1/veuHE4jY2/UlhYwvr1eebw885DrKcgEAgE\n4YBagv313bjzsnqb8OxsKLvFMhhNfsQyvbb0mGQTZjBo+emnWI9lNTYqA99UquiA5XaFcDQLBAJB\nAKgkaG1zrKXrnU+F5BRJUrucO8mE9YR7oVQKwlIQCASCAFABFccdRye3t0OEKgKtQetwbOufthKh\nsiy7JkkqQEaWZadTXRw48HeamrZZylRFBUV2ZwilIBAIBAHQMw6i5HabsNpaqKmBWKNSmHf+PJvj\nQzKGOMlJhSzrkSTLZ9lgaKeq6iOOHHnKNqYqMmjyO0ohEAgEAr/Ry7Bfc5RVmy0znz76qPKblZAF\nQF7XPCcpbZEkNWDbhNTUtIN9++5yEteiOLp0Od13od0glIJAIBAEQKQK2g3w+oeHzWGNjUBCKSU1\nJYB3U2I78yvIso6YmD42YTEx/TB9unNzH2fYsJUByW+PaD4SCAQCP6iqUn4zomB3PWhPWnwBra3A\nPTnm/ermajyjdli9TZZ1NlaBRtOVUaP2AFBYuIeYmLygT7ftt6Vw8uRJrrrqKgYMGEBBQQHr1q2j\npqaGcePG0a9fP8aPH8/JkyfN8YuKisjLyyM/P58VK1YERXiBQCDoLEzDAiJUoJVt11x+/33buG26\nNo/5OWs+OnHiC7RayyRK1vMrxcb2C8n6C34rhbvuuotJkyaxa9cutm3bRn5+PvPmzWPcuHHs3buX\n888/n3nzFOdKcXExixcvpri4mOXLlzN79mwMBufrmQoEAkGw+PHHeGpqvnV6rKFhMwcPPsKhQ0+g\n0zW4zOPkyZ/YseMKduy4gp07p9DeXglAs67JEkcLSMo37frrbdPvvX0vfy78s0dZnTUfHTlSREvL\nXgC6d5/N0KHfeMwnUPxSCnV1dfz000/MmqXM7KfRaEhMTGTZsmXMmDEDgBkzZrBkyRIAli5dytSp\nU4mIiCA3N5e+ffuyfv36IJ2CQCAQOMdgaOLgwb/R1LTL4VhV1QfU16/h2LHXaWra6TKPurofAYmM\njOtpbt5FU1MxAA2tjYAyeE0vA6e9AcB774H1PEjJMcleyapWd2H9+v788kuG+a8z8MuncPDgQdLS\n0rjxxhvZunUrI0aM4MUXX6SyspKMDOVEMjIyqKxUNGp5eTmjR482p8/OzqasrCwI4gsEAoF7Gho2\nsqxYsxUAACAASURBVGFDAWlp15jDcnLmYDC007XrRciyFoOhxWV6vb6F+PhhpKVdQXX1Z2zbNhFJ\nUqM3wDmpilLQGYChiwBFMTDm/8zpvV1NbeTIHRgMzTZhq1crcyclJ08gOXmcdyccIH4pBZ1Ox+bN\nm3n11VcZOXIkd999t7mpyIQkSW7bu1wde9TUlwsYO3YsY8eO9UdEgUAgsCE19TIAqqre5+TJVRgM\nbUhSJCpVLOXl/6K21nnTTG3t96SlXQVAfv5b9Ov3bwBuuu1hHpv2HIeaFEshZt/1HD1qTJSuWB4b\nb9lIpNq7MQUaTRegi01YYuI5tLTsY+jQ5TbhK1euZOXKlV7l6yt+KYXs7Gyys7MZOXIkAFdddRVF\nRUVkZmZSUVFBZmYmx44dIz09HYCsrCyOmq8WlJaWkpWV5TRva6UgEAgEwUFNRsa1ADQ370avb0KW\n21GposjJudftjKOpqZNJS7scUNr9TRPevbOjO5PbITVKUQqRBy5VuqICaBTLo1/XfgFJPWjQEmTZ\ncUS0fYX5scceC6gca/xSCpmZmeTk5LB371769evHt99+y8CBAxk4cCCLFi3igQceYNGiRVx2maKZ\nJ0+ezLRp07jnnnsoKyujpKSEwsLCoJ2EQCAQuEOjsTThREVlsXfvrYBEaurlJCf/geTkP/icp2HC\nvZS2wJBEaNJD3YWX095u9CVEKtqhS1QXNzl4JiLCO39EMPF7nMIrr7zCddddR3t7O3369GHhwoXo\n9XqmTJnCggULyM3N5aOPPgKgoKCAKVOmUFBQgEajYf78+SHpSiUQCEKDTteITqd0jYyISEWtjnOI\ns2XL2dTV/Uxq6uUMGvRpR4volgED3jNvd+9+C5mZNwKgUgU2VOvercrKa63GzpTmz5pKF1C+nYlY\nT0EgEHhk+/bLqK9fjVarTPWcnDwBjSaR/PyFlJe/Rnr6tWzZci65uQ9RXv4vTjttTdBl0Gprqamx\nbVuXpAja2g5TVfVfc5haHcPgwV+gVsexcqXEqFEHiI7ODXpF1DT9tTX/7ibzxz8Cf0mDuGrkRzrm\nexbMb6cY0SwQCDyi19dRULCYkye/5/DhJ8nOvpsdOy6lsfFO9u+/D40mCVluR61OwGBo95yhH1RX\nf8rhw/8gIcHS9FxTsxyNJoVu3W4hKWksADt3Xo5WW222ZkKhEFyxcaPyGxOnw3V/pvBGKAWBQOAR\ng6HVOIe/MrSpa9eJqFQx6PVK27le34LB0I5a3QWDwfPoXX/Q65vo2vUi8vJeNodt3nwWjY2b6NLl\nNBITlW7vGk0Sen2zccoI970g/WXwa4Odhv9n1RfAxQxLOZe/XDAj6OV2BEIpCAQCtzQ17aK+fi0q\nVbRx3n8FlSrSPBK4qWk7BkMzGk0X2tqOsnv3TSGQYxvJyRfYhKWmTkatjic2tr85TK1OYOfOK1Cp\nYkK27sCOqh1Ow7v3P0Zy3g+sqVlKl6jbQ1J2qBFKQSAQuKWhYSPR0b2Jixtk05dfkiLNlkJLyz6S\nks4jLm4oeXmvIsvBb0JKTBxDUpJtL6EePe6nR4/7bcIGDfqU9nZlGmu12ruBY8GiJXYP5QNuBWB9\n2Xou6H2BhxThh1AKAoHALbKsJzHxLFSqCLKy7iAx8RxA6S5ZUjKb1NQrGTToY3P8zMwbOktUQOly\nGhXlfBxUqKlV7TFvX5Z/WafIEChCKQgEAg8YjDN4Kj17TG33p522AYOhBbU6vjOF63D0BjdrKff/\nwrypCbC7a2dxakotEAg6DGXmTse5M9XqaNTq0C0gH648tsq70cO9k3uHWJLQIFZeEwgEblHWDVZ3\nthhhw9f7vnZ9sDHdvHmqWgpCKQgEAg8YbHod/d5JjEo0b88ssOthFF/VwdIEH3GnBQI/OHToSTZv\nPrOzxegQlOYjYSmYMFsAukgePv2VzhUmBAilIBD4wYkTS6mvX93ZYoSEpqadnDhhtbaksBRsmDZ4\nmrJh0BD/G/SxizstEAhsOHDgQbZvv8i8L3wKtmhNM1kbNKSlOY/TLb5bh8kTbE5NT4hAIPCalpaD\n7Nlzk8P6v84wGNpoaFhnE6ZMFyHqjyYee7oOBsHMjFcBiK4upDXVdnnhe864pzNECwpCKQgEfhH+\nU7/rdA1oNF1oadmLXt9Anz7/5zHNgQNzzdvt7cqMqHp9vbAUrDg66E4AFt6tDNKLUsfQahfnoryL\nOFURSkEg+A3R3n6cffvuJDKyO6WlzzNq1EH0+mYiI7NISjrXY3rrkcAbNhSYt3NzHw2FuKcctbVO\npqeWHMMGpA3oAGlCg1AKAsEpxvHjn6LT1To9plLFUl+/jra2UgC2bBmDLGtJSfGt5jpy5A7i4gYG\nLOtvjZTMJpgLfPgpPNLZ0oQGoRQEgg5Cp6tDq60lOrqn39M56/Wt7Nw5hcxMx2mZGxu3olJFEB3d\ni9bWgwAMH/4LAJGRGV7lr1LFAAiF4IR164AbxgHw0Wv9HY6rJBUG2QDfP35KKwyhFAQCN8iygaam\nnciy7fKKTU07fc5r+/bJ1NevZsCAD0hJGeeXPFrtCeOKZwscjpWWvsqBA38lOfl8Bg78FEnSEBPT\ny6f8c3MfJSPjer9k+60zerQMj64F4NxBeVZHlOaj+Mh46tvqGVV4avtfhFIQnHK0tZXR0rKfpKRz\nAs6rqmoxx49/7PJ4Q8NmWlsPEB8/zCbcYGgGoLLyfa/LamnZT2rq5ezZE9haA/HxQ5yGZ2RMIyqq\nG7GxA4mLy/cr75iYXj4rkt8LeedupMS4nZ4a4XB8zug5PLbqMVLTDB0rWJARazQLbDh2bAFNTcUA\nRER0pWfPuR5SdDwlJXdRVvYyZ5/diCQ5vpy+sGvX9URFZZGQMMbp8eLiKQCMHWv7XLa2HubAgQcB\n7z8AKlUUeXn/RK2O9VteQccTEwPTp8Pr3ZUmP91DOtQqizWQNOcc6pJ+QvuQlognlOexo9ZmNiHW\naBYEjbq6tRw6pDSAqtXxNDZuJi3tGiIj09i//35ycv6CSuXbh/f48U/Zs+dWEhJGMmSIm8nDfKS6\nehk7dlxq3v/55+Qg5Kpi2LAfSEw8w+lRne4/TheMiY7uSUHBu0EoXxDutLbC668Djyr71grBmlN1\nAjx7fhtn8Rtn3777aGlRFu/IzJxJWtqVTuPJsszJk9+j1ytNG+Xl/6K29jun89337l1E9+630NCw\nAZUqmqys2RQXX4te30RW1myio3tw6NBj6PVNqFRJPsnb3LyHlJSJVFcvYf/+B3w8W9c0NGwiNfUK\nkpLOIT19KpGR6Z4TBUj37jeHvAxB+NHYCK++CrffDorPQLESriq4qjPF6hCEUuhEZFnPhg1D0elq\nGDVqn8tmhcrKt+nT53nq69dQU/ONS6XQ3l7B9u0Xm9exran5itjYAQwb9qNNvLKyV2lp2QuAwdBC\nbGw/UlImoNEko9OdNPdAiYrK4pdfUn3uKSPLevLyXiExcQx6fYNPad2RkjKOlJSLiI8fFLQ8BQJn\nXPPHg3y1ZTN/+9uV8KhlNPeMoY69vpyNUziVCUgp6PV6Tj/9dLKzs/n888+pqanhmmuu4fDhw+Tm\n5vLRRx+RlKTUMouKinjzzTdRq9W8/PLLjB8/PigncCpRV7eGpiZlwW9J0nD48FO0tu4nIiKd+vr1\nREZmOk2n1zeQlnY5AGVlr1BW9prTeO3tlURH5zJ48OcArFwpodGkEBmZahMvMjKDY8deZ//+v1BX\nt4bkZGXd2/T0qbS0lKDRKPds5MgdxikOfEeSNH53uxQIOoPaWkhJMe5cOweuWeoQ51QeqewtASmF\nl156iYKCAhoalNrgvHnzGDduHPfffz9PP/008+bNY968eRQXF7N48WKKi4spKyvjggsuYO/evahU\nnTefSlvbMQyGNurqfrQZ2h9K2tvL6Np1MpGR6VRXL0OrVeZeT0kZz969f3KZLj5+GCpVDImJZ1Jf\nv5qmpm0u42Zl3WXelqQoEhJGOsTp2vUS84LrqamX0rXrJQD07v2UTTxJUovpDQS/G3btAiKaQBsH\n+Y4K4bvp3/0uKjp+9z4qLS1l5syZPPjggzz//PN8/vnn5Ofns2rVKjIyMqioqGDs2LHs3r2boqIi\nVCoVDzygtC9PnDiRRx99lNGjR9sKI0ns3q204UZEZNDWdoSMjOtJSVGsir17/0xV1QdO5dHrG+nS\nZQQpKRMBpX95ZeU7/9/emcdVVa3//33gIDMCiiKgTEc8MiMKambghLOmCWm3UEuzUivTtLKb3kot\nNcu8mpUWXU3smzenzCGTxJ8loiQ5pomCgKLIcBmU4azfHye2HDmQGiLSer9e5wV77TV8znP2Xs/e\na639bK5fz0ClMvR9Op0+Uom5uTsAbdtOo2XLEXdihlsmK2sF6enzlCdFjxzpR17eLry8FtKu3fS7\n0qZOV/5Hxy6DmUkkdWHZ632uPfRirfvLXy+vdSI56JFtpOYeQOyZi2qu3mn8LVcfvfjiiyxcuJDC\nwkIl7dKlS7RurX9ysnXr1ly6dAmArKwsAwfg5uZGZmam0XptbcPQ6a5z5swUQL+O3NTUGtAPowQF\n7cHa2rdGufLyXC5dWmsw3NG27Us4O4/l5giPpaW/c/Xq9rvWGRvD1XUK1tZ+WFlplW07u664uU25\na23e7qohieTvSl0OQfdPXZ13CIN8BpK+YqCy/VbkW/WqraG5I6ewdetWWrVqRUhICAkJCUbzqFSq\nOg1Z276PP9Y7i/Ly54iI6E1ExEPVypiiVjc3Ws7MzBFPzzm3pN/Gxr/BJyvNzZ1p3XqMst2y5RBa\nthzSoBokEklNYmMBL8O0aV2ncTL9KtuyPv/TIaN58/SfKrwdvetf5E0kJCTU2vf+Ve7IKezfv5/N\nmzezbds2rl27RmFhIY8//rgybOTs7Ex2djatWumXDLq6upKRkaGUv3DhAq6urkbrnjNnzp1Ikkgk\nkjvii20n4KZXLS+OWsyMnTPYlnWbdQ3/gqEdhtafuFqIiIggIiJC2Z47d2691X1Hg83z5s0jIyOD\ntLQ04uPj6dWrF//5z38YOnQocXFxAMTFxTF8+HAAhg4dSnx8PGVlZaSlpXH69GnCwsLq7UtIJBLJ\nHTP5xnD0h1ErlPkAv1a3HxTw8aDHsTK7v59Yr5fnFKpur2bNmkV0dDSrVq1SlqQC+Pr6Eh0dja+v\nL2q1muXLl/8tZvElEknjpvrcbP7MfJpb3Biejg2KNf5cQhNHxj6SSCR/W7Ztg0EHVQxxfJnNU965\n13LumPrsO+VaRYlE0uT45RdISak7z8GDMOiPZ9GmDrqzUOZNERnmQiKRNDlCQvR/KyvB2DOy4eHg\n4QF47gags0vnBtPW2JF3ChKJpEmRnw/Yp0GLUzzzzI10IeDQIcjOhqQk+Or/KiFWHyfM3uL2gj42\nZeSdgkQiaVI4tCqG1/QPHpw6mAW0AeDkSejcGVDp4NlAsMwFQNvyzl5I1FSRdwoSiaTJcPEi8NqN\nUPH5buuV/5XgC2MjoNUxsL0IwK/P/NpwAu8DpFOQSCRNhnYelQbbR9row1ecPAlKpB33RIM8TeXl\nOPWFtIZEImkSfPoplJtdNrqvY0fA6gq87ATAiI4jsFBbML1bw8U/u1+QTkEikTQJJkwAnC/WSM+q\nClXR6sYwUfzIeMxMZcBIY8jhI4lE0nSY9Mda1DxPJck1+l2Yo4Kx+pdJ+Tn5SYdQB9IpSCSS+573\n3gO0G5Vt79Pv39jZ1/A94UefPdpAqu5PpFOQSCT3Pb//DowaBcCQU9m8OHAoqgqLGvl+HPtjAyu7\n/5CxjyQSyX2NSgU4HYfn9FFNq6Kcmr5mj65ZgUHehn4jWkPRKN68JpFIJPca1WRfmHNC2e7UptON\nfbpm90LSfY8cPpJIJPcvTjccwtjgsSRPSFa2W/5muNy0qd4l1DfSKUgkkvuS7dsNt1cPXW3wnpaV\nk8Y3sKKmgXQKEonkvuSJsRUG2ze/uOuhB8wbUk6TQToFiURy37FjB1y2vBGuwr25e408Fs3kswh3\ngnQKEonkvmLgQOg/QAePPArAz0/+zI5/7KiRz9zUnH8P/DcAb0a+2aAa72fkklSJRHJfkJ8PDzwA\nx6NvDBNZqi0pea2kznL/u/4/rMysMDUxvdsS7xn12XdKpyCRSO4LVG4HYEJXg7SCWQXYmdvdI0WN\nB/mOZolE8vejmkP4V8S/KH+9XDqEu4C8U5BIJI2a/HxwcEAf1O4P5DMHhsg7BYlE8regqAgcPNMM\nHELmi1l1lJD8Ve7IKWRkZBAZGYmfnx/+/v4sXboUgKtXr9K3b198fHzo168f+fn5Spn58+fTvn17\ntFotO3furB/1EomkSfPGvP/BC14GafaWze+Rmr8HdzR8dPHiRS5evEhwcDBFRUWEhoayceNGPvvs\nM1q2bMnLL7/MO++8Q15eHgsWLOD48eOMGTOGgwcPkpmZSZ8+ffjtt98wMTH0SXL4SCKRAAgh8AhJ\nI/1hbwBmdJ/Bc12ew92+5vMIkkYwfOTs7ExwcDAANjY2dOzYkczMTDZv3kxsbCwAsbGxbNyoj2++\nadMmRo8ejZmZGR4eHmg0GpKSkurlC0gkkrtHSQms3ZBPTs6ddzj/+hfMnq1/R3Jamj7tyhU4dgzO\nnoVLl+CDD/TRTqs+Jv8yURwCwLt935UOoYH4y1FSz507R0pKCuHh4Vy6dInWrVsD0Lp1ay5dugRA\nVlYWXbveWDng5uZGZmbmX21aIpHcZaxdz8ELnrCzEz1PHuLHW3wdQUEBLFkCc+cCrY+A/Tloux+v\n9m9CZTN9Wr8ZcO4h6D0bSh1gTl6NetaOWMuYgDH1+ZUkf8JfcgpFRUWMHDmSDz74AFtbW4N9KpWq\nRiySm/cbY86cOcr/ERERRERE/BWJEonkNti2DQYNAk/PP67q5/zxWkuXw+xdm4NK1YraRikmTYKV\nK//YaPUr5HnDHGvDTD3eNdz23qX/a1nTIVS8XtGkHzj7KyQkJJCQkHBX6r7jJanl5eUMHjyYAQMG\n8MILLwCg1WpJSEjA2dmZ7OxsIiMjOXnyJAsWLABg1qxZAPTv35+5c+cSHh5uKEbOKUgk9xSViQ68\nd0JQHATE18zwrzK+/sqMRx6Bzp1h3TrQaKCyEtQOWfCSa40i/TX98W3pi7ejN89tew6AvWP30qNd\nD3RCJzv+euCeP9EshCA2NpYWLVqwZMkSJf3ll1+mRYsWzJw5kwULFpCfn28w0ZyUlKRMNJ85c6bG\n3YJ0ChLJvWH9enj0UQyWfgJ8MuQTJmyZYJh5jg5ss+B6cyizqZZuWHZa12ksjlp8lxRLqnPPncK+\nffvo2bMngYGBSsc+f/58wsLCiI6OJj09HQ8PD7766ivs7e0BmDdvHqtXr0atVvPBBx8QFRVVU4x0\nChLJXaXq9Kp+PVZUBLa2gMceGNtLSdf9U6cfBp5b+zDwzRx46gBhrmH1pFZyq9xzp3C3kE5BIrm7\nqNX6oZ5jx8DFBdasgSlTBMy5sRBx6+itDGw/ULngG7ZoHpuLX6Pi9QrUb9Y+DflSt5dY1G/RXf8O\nkprIdzRLJJI7olJdAFbF+Pm5/JEi4KkbKwONhY9wt/OGYjA1MeXc8+fw+MADgJzpORSXF/PK7ldY\nN3JdA6iXNATSKUgkfwOEgB07BLxiX2ueqy9fNZoe4K+CbP3/1Z8VcLJ2wgkn6RCaGNIpSCRNiIIC\naNYMLC1vpBUXg40NMHIMBBjmXz10NWODx9a5fHxEcG9+K5p+o41ZBVioLepZuaSxIOcUJJImQGUl\nqB98D6JegrVbOb5pEL4hhWCTDVHTwGcbAG3t2vJ06NNMDZ+Krbntn9QquV+QE82SW+LiRWjd2nCl\nieT+JydH/7taWcGoUZCSAqkj/vxHzngxAzc7twZQKGlopFOQ/CmPP65fWfJnzJgBoaHw0EPg7Fw/\nbQuhX+aoVkNmpj4W/oYN0KcPuLuD6Z88q1R1CBQW6odDHB31wyF/Vq6+EAJSU8HL64+lmn9QUaHf\nV1kJFvU8eqLTgYmRSGRC6NstKdHHC9qzBybM/x6e6Gu0noTYBCLiIpTtE8+dQNtSW79iJY0O6RQk\nRsnJgdZuJVBuabDEsE4K2sLRGEh8lWFRDmzapE/+xz8gPR1279Z37sZY8n4lbm4qps4o5GKGFc5O\nzej40HH2FK4A7UZofsGwQHYItEkxTNOZ6MMhFLeCHH/ovBJKHMHqKuRq4Jo92GaDzhTs06HYCawv\nw+ZPiGw9EpfIrVgVBOPqZMuly+V4uJtw9OQ1Kq54UnnNipYt4astV8mN8cesWSVlP7wC2SGYu6di\n1ulLiux/huKW+nZMKjFNfZJK3zVQ6Abe39/QeTEQnFNvbG/5iJ9XRxMe6KAkJSfD8uUwcybY2ekd\nR3IyWFvr//9hXzHbr6zg4NZAwh/5iZP/HUmGKhGaFcFDb8LvfSGjO/R+DdTX9ZUemgDlVuCzFRx/\nr/Vn3D9+P93adgOgvLIctYm6znkCSdNCOoW/If/9L4yMvo5bzx8Idvdk6zeW0PIU5tfcuW6WTUAA\nnLyURvnA8TXK9vPuR0p2CpdLLgPQwrIFHVp2wNPek+/OfMfV0mqrTkocIf1B0P7hHZb+BuEf6j9V\nxH8DVzXw7E2zln/CrC5vszxlCYUVV2rssxCOqE1VFOly8bTpSGbJWWY+8ApOFi78ejqPr84vpUDc\nZhBFoQKVkeOp0AXsjL+opbtLBCeuHsG/lT+J6Ym1Vm1S6IE2ZzbH/vMkvWNO8EPxUujyUa35LS/3\noNRpX51yvZt1o+hUVy553ogS8JjveAJa+ZNffpkF/28+XVy68E3MN7ja1QwnIfn7Ip3CfYrKRAeq\nStCpQaUjK9MUc3P96pC2bfUByBITYfp0uHz1OpiVQKU5VJhDbG/wqDtEpRUtsLQwIfXZX2hj0wbg\nlmLLHLhwgK6rutaZpy5yX87l10u/MmvnbI5mnyZz5mnsLOp/ErNCV0GFroLyynLM1eaYqkwxNTFF\nJ3SUlpdiamKKhdoCIQTlunIKrhWQXZSNfyt/TFT1+5JB1eSOcNkXjkXDqEcN9j0f/jynr57mcvFl\njl0+xrOdn+VB9wdJL0jn6dCnMTM1q1ctEol0Co0YnQ4WLoShQ/Vjwa++Ctt/PYja5VeuRT1pvFCZ\nNRyYAg8uMEhupmtOOcUIkwoAxoc8ySdDPqassgy1iRq1Sf2tKE48n8jZvLP0dO+Jp4M+MmZ6QTrP\nfPsMG6I3KEsQdUKHihvDEn/XIQrV6xY3hniAgpmFd8URSiS3QpN2Cuu+LqZ7Fyu2773M889Zsvd7\nawICVFhY6Dvc8nL9lXXc2mssXCjILblKWYkF2FzCbfowejr8g5JLrgx5wJNhgb1o0eL2Oq3SUrh2\nDX75BXqN/yMWzMFn4ORwuvtoCe3gTF5JIf+7Voq2SybX81vw/gcV/GPcNUrLrrFh368w5Gl9ZdnB\nUNAOtJuV+id0msCg9oPQCR0jvhqhpIc0e4Sj5VsY32ks/q38GeU7itY2+ndTLNq/iMlhk+Xa8EaE\nyWu2iGZFAMQNj+OJoCfusSLJ35km7RSY04ANVpjfuNqrNAPTcv2EpknlbVVjUaTFxtIcU50FeRXZ\nlFmm08W5O0O0/fFv5Y+LrQud2nSSwwZNiGYv+lJuf4LvH/+e3l6977Ucyd+cJh37KPvFHL44HM9v\nZ6/xr+ETABVJF/dy9OxVUku+w92+LcO1w/Fv5Y9AYG9hjxCixjBGUVkRtvPs4NfRtDeL5HTr+VhV\ntKWk1Y1x+c6m40lmBU6m3viUPYHOKZmhmlEk5K5luHY4T3V6qsYQTf61fExVptg0s/nbDp1IwOSP\n3146BElTo9HdKTQiORJJrWje78jvBSeNBpCTSBqaJn2nIJHcD4z0G8rPma3utQyJpN6RdwoSiURy\nn1OffWf9Lt6WSCQSyX2NdAoSiUQiUZBOQSKRSCQK0ilIJBKJREE6BYlEIpEoSKcgkUgkEoUGdQrb\nt29Hq9XSvn173nnnnYZsWiKRSCS3QIM5hcrKSiZPnsz27ds5fvw469at48SJE7ddT0JCQv2Lqwek\nrtunsWprrLqg8WprrLqg8WprrLoazCkkJSWh0Wjw8PDAzMyMRx99lE1Vr/m6DRqrIaWu26examus\nuqDxamusuqDxamusuhrMKWRmZtK2bVtl283NjczM23yTlkQikUjuKg3mFGREUYlEIrkPEA3ETz/9\nJKKiopTtefPmiQULFhjkCQoKEoD8yI/8yI/83MYnKCio3vrqBguIV1FRQYcOHdi9ezcuLi6EhYWx\nbt06Onbs2BDNSyQSieQWaLDQ2Wq1mmXLlhEVFUVlZSVPPvmkdAgSiUTSyGhUobMlEolEcm+544nm\njRs3YmJiwqlTp+pTD/Pnz6d9+/ZotVp27txZY//QoUMJCAgwWnbt2rV4eHigUqno1KkTqampyr7a\nHpz7v//7P/z8/DA1NeXw4cNKelJSEiEhIYSEhODr64ufnx+2trZMmTLFoM3PPvuMgIAAgoKCGDBg\nALm5uUZ1OTs7Y2FhgbW1NVqtlqSkpL+sKzAwkNGjRxu112uvvUa7du2wtbWt1dZr164lKCgIZ2dn\nrKys6NChAyEhISQlJf1lXatWrSIyMtKozSIiItBqtUr+K1euNJjNPD098fb2JjAwkM6dO7Nnzx4l\n3/r16wkKCsLf359Zs2bVabOOHTvi6OiIu7s7Go2GF154ga1bt9apy8TEhP379xvV5eLigrOzMyYm\nJly9elXJs2nTJoKCgggJCSE0NJQffvihhqbS0lIGDRpEx44d8ff357nnnmPYsGH4+Pjg7e2Nj48P\nGo2Grl27cv78eaVc//79cXBwYMiQIbz//vuUlpYC8OSTTxIcHExgYCAPP/ww0dHRaLVaAgICePLJ\nJ6moqABg0aJFiv6AgADUajX5+flGtalUKlq2bMkrr7yilH399deJiYmhffv2dWqrzs3atm3bt7r3\npAAAE4xJREFURqdOnTAzM2PDhg0GeePi4vDx8cHHx4cvvvjC6O+pUqlo0aIFQUFBjBgxgrfeeou5\nc+cCtfdFtZ1bH330EYGBgYSEhODh4YG3tzdBQUH06dOH9PR0g7yFhYW4ubnVODeqmDFjBh07dlR0\nFRQUKPv+iq5u3bpx5MgRo20q3OlkRHR0tBgyZIh444036ml6Q4hjx46JoKAgUVZWJtLS0oS3t7eo\nrKxU9m/YsEGMGTNGBAQEGC2/f/9+8fDDD4shQ4aIxx57TISHhwshhKioqBDe3t4iLS1NlJWViaCg\nIHH8+HEhhBAnTpwQp06dEhEREeLQoUNKXSUlJUrbv//+u7CzsxPLly8XkydPVvJcv35dODo6itzc\nXCGEEC+//LKYM2dODV0rV64UYWFhoqysTHz33XciNDRUZGVl/WVdCQkJwtTUVJSWlir20ul0Qggh\nDhw4ILKzs4WNjU2t9t6/f7/YuXOn6Natm9iyZYsIDw8Xubm5IiMj4y/pys7OFo6OjuLHH38UH330\nkYHNhBA1yhrjbtls165dwsHBQVRUVIijR48KV1dXIYQQV65cEe3atRNXrlwRQggRGxsrdu/ebdRm\neXl5okuXLmLatGkiPDxcVFZWivHjxwt7e/s6dVlYWBjUebMue3t74eHhoRxPQghRVFSk/J+amiq8\nvb1raCopKREJCQlCCP0xaWNjI6ZNmyaEEOLDDz8UWq1WzJgxQ8THx4uYmBil3O7du8WWLVvE4MGD\nhYeHh/LdCwsLlTzTpk0Tjz/+uLI9evRosWLFihoatmzZInr37l2rNnNzc+Hl5SW6du0qvvvuO7Fo\n0SIxcOBA8cwzzwghRJ3aqnOztpdeekmkpqaKJ554Qnz99dfKvtzcXOHl5SXy8vJEXl6e8v/NmJmZ\nCS8vL3HlyhUxc+ZMERkZKebMmWO0L/qzc6u6trfffltEREQIIYRYsWKFwXcTQoipU6eKMWPG1Dg3\nqti5c6dybMycOVPMnDlTCGG8j7wdXZs3bzb6O1Xnju4UioqKOHDgAMuWLWP9+vVKekJCgoFnnzx5\nMnFxcQBs27aNjh070rlzZ6ZOnVrjCgD0V0WjR4/GzMwMDw8PNBqNcnVYVFTEkiVLmD17dq1vGAoI\nCODw4cMsW7aMpKQkLly4AOg9ZWFhofLgnKWlJf/85z8BOHv2LMOGDSM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yMjKESqUSvr6+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\ncAAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x78f2390>"
]
}
],
"prompt_number": 103
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"2.4 Back and Forth - Virtex"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"back_and_forth_model(fees=0.007, bounds=20, exc=\"virtexCAD\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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M9IPSs3JA9xMn+NvHH/Ppww9z/LrrmLJ5Mx/m55O2bRvX5ubyxPPPs374CAAq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\nRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x8c10cf8>"
]
}
],
"prompt_number": 107
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"back_and_forth_model(fees=0.007, transit_time=1, bounds=10, exc=\"virtexCAD\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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kF6cBE0NsbCxXXHEFAEFBQUydOhWz2czmzZvJznY//CI7O5uNGzcCsGnTJpYs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\n/g9krlBLbIqcfwAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x9721128>"
]
}
],
"prompt_number": 113
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"2.5 Back and Forth Virtex (Updated Fees)"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"back_and_forth_model(fees=0.02, bounds=35, exc=\"virtexCAD\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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Fx7P++ecZpPOC2cXNDNy/jyw64ke1UraWLAEguLSMU0Cvo0dJb3nOUJF1WbmS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\nwv8Hj7ua43nfbSIAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x7c17c18>"
]
}
],
"prompt_number": 94
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"back_and_forth_model(fees=0.02, transit_time=1, bounds=25, exc=\"virtexCAD\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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2JiVzMCGBorg2dD90iKcWvoHBLLNq6FD6LVhAizVr6PrOOzx02+0O2W/qpXwQ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\nPa+88gqbN28mKSmJFStWcPz48VvOJy4uru7F1QFS163TULU1VF3QcLU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diY6OZuXKlcpv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\n",
"text": [
"<matplotlib.figure.Figure at 0x7c174e0>"
]
}
],
"prompt_number": 100
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"2.6 Summary"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There are a lot of options to adjust in back-and-forth arbitrage. First, in the microcosm of Bitstamp/BTC:\n",
"Not accouting for fees makes this technique look promising, obviously delivering returns in a zero friction world. However, fees seem to almost entirely negate the gains. I postulate that this could result from other people actually implementing a similar style of trading.\n",
"Theoretically, if it were possible to make BitCoins travel between exchanges more quickly it would allow you to take advantage of smaller more transient returns. This is very beneficial in a zero fees world and still beneficial, if much less so, in the real world.\n",
"\n",
"Expanding this to include the Bitstamp/Virtex pair leads to similar results. Low transit time makes taking advantage of smaller transient mis-pricing possible, to great effect. Fees come in and make both high speed and low speed trading fairly unprofitable. Virtex is still profitable even at the Bitstamp/BTC fee level, but at its own fee level you mostly break even.\n",
"\n",
"This leads to a strong argument that arbitrage already regulates the intra-market prices, such that exchange rates vary within fixed bands defined by the level of friction.\n",
"\n",
"*NOTE: There appears to be a decent correlation between the fee percent and the minimum variance required to make profitable trades in both pairs"
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"2.7 Extensions"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Since high-speed trading on the Bitstamp/Virtex pair seems to work so well, investigate the possibility that Virtex actually lags behind Bitstamp"
]
}
],
"metadata": {}
}
]
}
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