535 lines
143 KiB
Plaintext
535 lines
143 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {},
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"outputs": [],
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"source": [
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"import matplotlib.pyplot as plt\n",
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"import numpy as np\n",
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"import random\n",
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"import math"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {},
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"outputs": [],
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"source": [
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"u_min = .97\n",
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"u_max = 1.04"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {},
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"outputs": [],
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"source": [
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"##########################################\n",
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"# This block is a literal translation of #\n",
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"# src/math.ts #\n",
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"##########################################\n",
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"\n",
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"# Computes the price at a specific reserve `R`\n",
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"def getPriceR(R, V0, k):\n",
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" return (k * R ** ((k - 1) / k)) / V0 ** (1 / k)\n",
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"\n",
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"# Compute slippage at a point `R`, given a `deltaR`\n",
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"def getSlippage(R, deltaR, V0, k):\n",
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" S = (V0 * R) ** (1 / k)\n",
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" deltaS = (V0 * (R + deltaR)) ** (1 / k) - S\n",
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" realizedPrice = deltaR / deltaS\n",
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" spotPrice = getPriceR(R, V0, k)\n",
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" return abs(realizedPrice - spotPrice) / spotPrice\n",
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"\n",
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"# Get deltaR for a given price growth factor\n",
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"def getDeltaR_priceGrowth(R, k, priceGrowth):\n",
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" return -R + (priceGrowth * R ** (1 - 1 / k)) ** (k / (-1 + k))\n",
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"\n",
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"# Computes a tx distribution using a normal distribution,\n",
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"# Given a sum of tx value and a number of transactions\n",
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"# Demo: https://codepen.io/anon/pen/mNqJjv?editors=0010#0\n",
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"def getTxDistribution(_sum, num):\n",
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" mean = _sum / num\n",
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" off = mean * 4\n",
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" x = []\n",
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" for i in range(0, int(num)):\n",
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" x.append(randn_bm(mean - off, mean + off))\n",
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" return x\n",
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"\n",
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"# Random variable uniformly distributed\n",
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"def rv_U(min, max):\n",
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" return random.random() * (max - min) + min\n",
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"\n",
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"\n",
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"# Standard Normal variate using Box-Muller transform.\n",
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"# by https://stackoverflow.com/questions/25582882/javascript-math-random-normal-distribution-gaussian-bell-curve/36481059#36481059\n",
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"def randn_bm(min, max):\n",
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" u = 0\n",
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" v = 0\n",
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" while (u == 0):\n",
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" u = random.random() # Converting [0,1) to (0,1)\n",
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" while (v == 0):\n",
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" v = random.random()\n",
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" num = math.sqrt(-2.0 * math.log(u)) * math.cos(2.0 * math.pi * v)\n",
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" \n",
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" num = num / 10.0 + 0.5; # Translate to 0 -> 1\n",
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" if (num > 1) or (num < 0):\n",
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" num = randn_bm(min, max) # resample between 0 and 1 if out of range\n",
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" num *= max - min # Stretch to fill range\n",
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" num += min # offset to min\n",
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" return num\n"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {},
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"outputs": [],
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"source": [
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"##########################################\n",
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"# This block represent the user choices #\n",
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"# src/App.ts #\n",
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"##########################################\n",
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"\n",
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"# Given data\n",
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"d0 = 1e6\n",
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"theta = 0.35\n",
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"p0 = 0.1\n",
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"p1 = 0.3\n",
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"wFee = 0.05\n",
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"\n",
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"# Initial params\n",
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"k = p1 / p0 / (1 - theta)\n",
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"R0 = (1 - theta) * d0\n",
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"S0 = d0 / p0\n",
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"V0 = S0 ** k / R0"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 5,
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"metadata": {},
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"outputs": [],
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"source": [
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"##########################################\n",
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"# Literal translation of the price walk #\n",
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"# in src/App.ts #\n",
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"##########################################\n",
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"\n",
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"# Price walk\n",
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"R_t = [R0]\n",
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"p_t = [getPriceR(R0, V0, k)]\n",
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"wFee_t = [0]\n",
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"slippage_t = []\n",
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"avgTxSize_t = []\n",
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"\n",
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"numSteps = 52\n",
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"\n",
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"# adding some extra stored variables so i can see\n",
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"dR_t = []\n",
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"all_tx = []\n",
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"\n",
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"for t in range(0, numSteps):\n",
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" txsWeek = rv_U(5, 2 * t + 5)\n",
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" priceGrowth = rv_U(u_min , u_max)\n",
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"\n",
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" R = R_t[-1]\n",
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" deltaR = getDeltaR_priceGrowth(R, k, priceGrowth)\n",
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" \n",
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" #extra\n",
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" dR_t.append(deltaR)\n",
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"\n",
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" R_next = R + deltaR\n",
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" txs = getTxDistribution(deltaR, txsWeek)\n",
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" # Compute slippage\n",
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" slippage_txs = [getSlippage(R, txR, V0, k) for txR in txs]\n",
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" slippage = np.mean(slippage_txs)\n",
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" \n",
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" txsWithdraw = filter(lambda tx: tx < 0, txs)\n",
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" wFees = -wFee * sum(txsWithdraw)\n",
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"\n",
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" # Store variables\n",
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" R_t.append(R_next)\n",
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" p_t.append(getPriceR(R_next, V0, k))\n",
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" slippage_t.append(slippage)\n",
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" wFee_t.append(wFees)\n",
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" \n",
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" #extra\n",
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" all_tx.append(slippage_txs)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 6,
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"metadata": {},
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"outputs": [],
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"source": [
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"change_rate = np.array(dR_t)/np.array(R_t[:-1])"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 7,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"(array([8., 3., 5., 3., 5., 5., 5., 5., 7., 6.]),\n",
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" array([-0.03790932, -0.0292043 , -0.02049929, -0.01179427, -0.00308925,\n",
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" 0.00561577, 0.01432079, 0.0230258 , 0.03173082, 0.04043584,\n",
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" 0.04914086]),\n",
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" <a list of 10 Patch objects>)"
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]
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},
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"execution_count": 7,
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"metadata": {},
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"output_type": "execute_result"
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},
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{
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"data": {
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"image/png": "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\n",
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"text/plain": [
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"<matplotlib.figure.Figure at 0x110184978>"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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}
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],
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"source": [
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"plt.hist(change_rate)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 8,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
|
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"Text(0,0.5,'change_R')"
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]
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},
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"execution_count": 8,
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"metadata": {},
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"output_type": "execute_result"
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},
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{
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"data": {
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"image/png": 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\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x11017cb38>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plt.plot(change_rate)\n",
|
|
"plt.xlabel('Weeks')\n",
|
|
"plt.ylabel('change_R')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 9,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"Text(0,0.5,'Price')"
|
|
]
|
|
},
|
|
"execution_count": 9,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x1102f74e0>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"##########################################\n",
|
|
"# Same graph as the one showed after #\n",
|
|
"# clicking \"Run simulation\" #\n",
|
|
"##########################################\n",
|
|
"\n",
|
|
"plt.plot(p_t)\n",
|
|
"plt.xlabel('Weeks')\n",
|
|
"plt.ylabel('Price')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 10,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"Text(0,0.5,'delta R')"
|
|
]
|
|
},
|
|
"execution_count": 10,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x1103eb320>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plt.plot(dR_t)\n",
|
|
"plt.xlabel('Weeks')\n",
|
|
"plt.ylabel('delta R')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 11,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"Text(0,0.5,'R')"
|
|
]
|
|
},
|
|
"execution_count": 11,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x110395400>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plt.plot(R_t)\n",
|
|
"plt.xlabel('Weeks')\n",
|
|
"plt.ylabel('R')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 12,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"price = np.array(p_t)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 13,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"delta_price = np.diff(price)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 14,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"Text(0,0.5,'change price')"
|
|
]
|
|
},
|
|
"execution_count": 14,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x1106432b0>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plt.plot(change_rate, delta_price, '.')\n",
|
|
"plt.xlabel('change in R')\n",
|
|
"plt.ylabel('change price')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 15,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"Text(0,0.5,'price')"
|
|
]
|
|
},
|
|
"execution_count": 15,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x1105eaa58>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plt.plot(R_t, price, '.')\n",
|
|
"plt.xlabel('R_t')\n",
|
|
"plt.ylabel('price')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 16,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"[0.00042985726912106865,\n",
|
|
" 3.326448825730267e-05,\n",
|
|
" 0.0002683948956312701,\n",
|
|
" 0.00030955697731365297,\n",
|
|
" 0.0004508734483606121,\n",
|
|
" 0.00010604530101078031,\n",
|
|
" 8.280053682637366e-05,\n",
|
|
" 0.00018297619945453986,\n",
|
|
" 0.00026518354073375253,\n",
|
|
" 0.0003298265895596681,\n",
|
|
" 0.00032680775909363276,\n",
|
|
" 0.000213816293899596,\n",
|
|
" 0.0005187259892987444,\n",
|
|
" 0.0003673052649977331,\n",
|
|
" 1.0050503125364266e-05,\n",
|
|
" 0.0003879813136789557,\n",
|
|
" 0.00026963781975411906,\n",
|
|
" 0.0001985470681638932,\n",
|
|
" 0.0002572265016168079,\n",
|
|
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" 0.000499363788504479]"
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|
]
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|
},
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|
"execution_count": 16,
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|
"metadata": {},
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}
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],
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{
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"cell_type": "code",
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