{ "cells": [ { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "## Simulating Returns for the Robo-Advisor\n", "\n", "In the past, we've asked users to state their risk preference without giving them any context as to what that risk preference should indicate.\n", "\n", "Let's present a more explicit query here, in which the robo-advisor presents a series of simulated returns to the user before asking about a risk preference.\n", "\n", "We'll start by simulating returns under a number of different risk levels." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " 1 2 3 4 5\n", "0 0.325341 -0.117550 -0.193722 0.014236 0.003305\n", "1 -0.154543 -0.003586 0.028922 -0.041204 0.002376\n", "2 0.340996 -0.033272 0.041565 0.002383 -0.014720\n", "3 -0.163003 0.237072 -0.106264 0.045587 -0.030441\n", "4 0.166943 0.222243 -0.179022 0.085806 -0.022043" ] }, "execution_count": 17, "metadata": { }, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "import seaborn as sns\n", "import pandas as pd\n", "\n", "df = pd.DataFrame({'1': np.random.normal(0, .18, 5000),\n", " '2': np.random.normal(0, .14, 5000),\n", " '3': np.random.normal(0, .1, 5000),\n", " '4': np.random.normal(0, .06, 5000),\n", " '5': np.random.normal(0, .02, 5000)})\n", "\n", "df.head()" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Next, have the function display these simulated returns. That way, a user has a visual representation of what a risky distribution of returns looks like under varying scenarios. People who are more concerned about risk tend to spend more time thinking about the left side of the distribution. In contrast, people who are more risk tolerant are more willing to accept a big left tail in exchange for a big right tail." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "def get_risk_preference():\n", " \n", " # plot random returns\n", " sns.displot(data=df, x='1', kde=True)\n", " sns.displot(data=df, x='2', kde=True)\n", " sns.displot(data=df, x='3', kde=True)\n", " sns.displot(data=df, x='4', kde=True)\n", " sns.displot(data=df, x='5', kde=True)\n", " plt.show()\n", " \n", " need_preference = True\n", " while need_preference:\n", " response = input(\"On a scale of 1-5, how much do you dislike risk? 1=not bothered by risk, 5=extremely worried about risk.\\n\")\n", " try:\n", " response = int(response) # this will break if response is not 1-5\n", " need_preference = False\n", " except Exception as e:\n", " print('Please try entering your preference again')\n", " return response" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 21, "metadata": { "needs_background": "light" }, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "execution_count": 21, "metadata": { "needs_background": "light" }, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "execution_count": 21, "metadata": { "needs_background": "light" }, "output_type": "execute_result" }, { "data": { "image/png": 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JOcP45WdOOQE30fyCDPa19NHUNURZjnOGV9TknPPvN5U0atsHyEj1kJeeYjvKjJubn47bJexv7bMdRcWAFrBKKAao6xxgVq4vIZYemq4Uj4vyHB81bf26UkYS0AJWCWUkJZuhYNhRVz8cbW5+Ot2DQToHgrajqCjTAlYJZcBXCECpwwsY4EBbv+UkKtq0gFVCGfAX4U9xE/Al/u3Hx5OV5iU/I4WaNh0HdjotYJVQBnxFlAWcOf470bz8DJq6hhgM6pWYTqYFrBJGfecAo950Rw8/jJubn44BDukwhKNpAauE8fbBDgBHn4AbV5SVij/FTY0WsKNpAauE8daBTlyhEfIynHf979FEhLn56RxqH9ClihxMf2dVwnj7YAe+wZYjt+g63dz8dEZCYQb8hbajqCjRAlYJoaN/hOqWPvyDLbajxMysHD8uQdeKczAtYJUQxsd/k6mAUzwuSgM++tNPtJCMSmRawCohbD7YQYrHRdpQci3ZMycvneHUHA53J+6qz+r4tIBVQthS28VZZdm4THKtFjG+4sef9uryW06kBazi3shomJ0N3Zw7K2A7SszlpafgCQ7w6j4tYCfSAlZx793DPQyPhlleEbAdJeZEhPT+Bjbsa2NU14pzHC1gFfe21nYBcG5Fzol3dKiMgUa6B4Nsr++2HUXNMC1gFfe21XVRkJlKaXaa7ShWpPc34RJ4VceBHUcLWMW9rbWdnDsr4PgJeI7HHR5h+ayAFrADaQGruNbZP8LB9oGkHX4Yd8WiAirru+gaGLEdRc0gLWAV17bVdQGwPAmvgJjosgX5GAMba9ptR1EzSAtYxbWttZ24BM4uz7YdxapzZgVIT3HzerUWsJNoAau4trWui8XFWaSnemxHscrrdnHh3Fxer06uOwGdTgtYxa1w2LCtrivphx/GrVyQT01bP03dg7ajqBmiBaziVk1bP71Do5ybhDdgTGblgnwAHYZwkOT+d52Ka1trOwE4L8kLeEdlJTesvhUDuOd/jPt//gQP/fPrABTkZPPow2vtBlSnTAtYxa2tdV1kpnmYl59hO4pVwbBh1T33AxDe0URDdwbXrr4OEeGFB++znE6dDh2CUHFrW+3Y+K/LlZw3YExmVq6f/uEQnQNB21HUDNAjYBWXbr/rr9lVcCP57Tu44dnvHtm+s6qKVRZz2TYrd2x6yrqOAXLTnb82ntNpAau4VDfkBXFx6dU3MDf/o0e2b1lzk8VU9mX7vGSleajrHOAcvTok4ekQhIpLQ76xM/7FWck5Ac+JlOf4aegaxBhjO4o6TVrAKi4NpuWT7fPiS3HbjhJ3ygI+hoJh2vt1XohEpwWs4o4xhgFfASVJOv3kyZTl+ABo6NQbMhKdFrCKO/Wdg4Q8foq1gCeVleYhI9VDQ5cWcKKLWgGLyCwReVlEdolIlYh8KbI9V0ReFJF9kV9zIttFRH4oItUiUiki50Urm4pvWyI3YOgR8OREhLIc39g4sO0w6rRE8wh4FPifxpilwMXA50RkKXAvsN4YsxBYH3kOcAOwMPK1BvhJFLOpOLblUCcSDpKfnmo7StwqD/gYGAkx4s2yHUWdhqhdhmaMaQKaIo97RWQ3UAbcDLwvstsjwCvA30e2P2rGTu1uFJGAiJRE3kclkS21XfgG2/QGjBMoC4yNA+/rCHLD6luPeV1vUU4MMbkOWETmAOcCm4CiCaV6GCiKPC4D6iZ8W31k23sKWETWMHaETEVFRfRCKysGR0Lsbuohe0iX3zmRgN+LP8VNT/48Vt192zGv6y3KiSHqJ+FEJAP4L+DLxpieia9FjnanNYxljFlrjFlhjFlRUFAwg0lVPKis72I0bPANagGfiIhQFvDhKpyv1wMnsKgWsIh4GSvfXxpjnohsbhaRksjrJUBLZHsDMGvCt5dHtqkksiWyBL1vSCceP5mygA+XP0DP0KjtKOoURfMqCAEeAnYbY7474aWngTsjj+8Enpqw/Y7I1RAXA906/pt8ttR2Mjc/HU9o2HaUuDd+PXB954DlJOpURfMIeCXwKeAqEdkW+boR+BZwrYjsA66JPAd4DqgBqoGfAfdEMZuKQ8aYsSXok3z+36nKS0/BDPfT2DVkO4o6RdG8CmIDcLzT2FdPsr8BPhetPCr+1XUM0tY3wnkVOey2HSYBiAjhtoM0BgK2o6hTpHfCqbjxTm0HAOdV5FhOkjjCbQfoGgzSP6zjwIlIC1jFjU01HWSleVhcnGk7SsIIt9YA0NStwxCJaEoFLCIrp7JNqdOxsaadi+bl4dYbMKYs3FmP2yU6L0SCmuoR8L9PcZtSp6Spe5CD7QNcPC/PdpTEEg5RnJVGoxZwQjrhSTgRuQS4FCgQka9MeCkL0Ila1YzZWDO21PrF83ItJ0k8pYE0Nh/qZGQ0TIpHRxUTycl+t1KADMaKOnPCVw/w0RN8n1LTsnF/B9k+L0uKdXKZ6SoL+DAGDvfoOHCiOeERsDHmVeBVEfmFMeZQjDKpJLTxQDsXzs3VCXhOQXF2GgI0dg1SEVm0UyWGqV4HnCoia4E5E7/HGHNVNEKp5NLYNcih9gHuvGSO7SgJKdXjJj8jVU/EJaCpFvDvgJ8CPwdC0YujktGfx3/1BNypKg2kUdXYQyhs9CqSBDLVAh41xugE6SoqNta0k+3zcoZe/3vKSgM+ttd309o3rCtJJ5CpnjJ9RkTuEZGSyJJCuSKip6vVjNhY08FFOv57WkojE7Tr5WiJZapHwOOzl311wjYDzJvZOCrZ1HcOUNsxwKcvnWM7SkLLSPWQ7fPS2DWot3InkCkVsDFmbrSDqOT0yp6xidevWKST65+u0uw0DrYP6ATtCWRKBSwid0y23Rjz6MzGUcnmlT2tlOf4mF+QbjtKwisN+Nh9uJeugaDtKGqKpjoEccGEx2mMTSe5BdACVqdseDTEG/vb+Mh55YzN369Ox/g4cEO3jgMniqkOQXxh4nMRCQC/iUYglTw2H+xkYCTE+xbr8MNMyPF78XndeiIugZzqjeP9gI4Lq9OyfncLKR4Xl8zX639ngohQGkjTFTISyFTHgJ/hz6sXu4ElwGPRCqWczxjD81WHuXxBPv6UqC3MknRKAz72t/ZT4PbZjqKmYKp/8v9twuNR4JAxpj4KeVSSqGrsoaFrkC9dvdB2FEcpzR4r3kFfoeUkaiqmNAQRmZTnXcZmQssBRqIZSjnfC7uacQlcvUSLYiYVZKbicQkDfv3vmgimuiLGLcBbwMeAW4BNIqLTUapT9vzOw6yYnUteRqrtKI7idgnF2WkM6BFwQpjqEMTXgQuMMS0AIlIArAMej1Yw5Vy7GnvY09zL/Tcvsx3FkUoDPuo7cugdCpKZ5rUdR53AVK+CcI2Xb0T7NL5Xqff4/bYGPC7h/WeX2o7iSGUBH4iLrbVdtqOok5hqif5RRJ4XkU+LyKeBPwDPRS+WcqpQ2PDUtgbet7iQ3PQU23EcqTgrDUyYtw922I6iTuJka8ItAIqMMV8VkQ8Dl0VeehP4ZbTDKWe44641tHZ2A9DvL6Z51io8ux/jjlfX8ujDay2nc54Uj4u0oQ4t4ARwsjHg7wNfAzDGPAE8ASAiZ0Ve+2AUsymHaO3sZtU99wPwwq7DpLT086Hb7+IHn1vNDatvnfR7dlZVsSqWIR3GP9jCtrpCXagzzp2sgIuMMTuO3miM2SEic6ITSTlVMBRmf0s/Cwoz8LhdBMPmSDEfbcuam2Kczll8gy10BMPsbOzW6Snj2Mn+1xg4wWt6q42alprWfkZCYV35Igb8g2PnzDfrMERcO1kBbxaRvzp6o4h8BngnOpGUU+1q6iEj1UN5jv6/O9o8oSHm5qfz1oFO21HUCZxsCOLLwJMicjt/LtwVQAqwOoq5lMN0Dwap7Rjg4rm5OvVkjFwwJ4cXdzUTDhtd7ilOnfAI2BjTbIy5FPgmcDDy9U1jzCXGmMPRj6ecoqqxGwGWlmbZjpI0VszJpXMgSE1bn+0o6jimOh/wy8DLUc6iHMogVDX2MCc/Xe/MiqEL54ytm/vWgU4WFOq4ezzS61NU1PVmlDMwEuLMMj36jaXZeX7yM1J560C77SjqOLSAVdR1BRaRkephTq6u+xZLIsIl8/N4s6ZdF+qMU1rAKqrqOgbo95eyrDRLTwRZcOn8PJp7hqlp67cdRU0iagUsIg+LSIuI7Jyw7R9FpEFEtkW+bpzw2tdEpFpE9ojIddHKpWLrd5vrAD35ZsulkeWe3tivwxDxKJprwfwC+BHHrpz8PWPMxBU2EJGlwG3AMqAUWCcii4wxoSjmUzNs4pwPMHbyrXrehzHt9WSlLbKYLHlV5PopC/h4o7qNT10823YcdZSoFbAx5k/TuF35ZuA3xphh4ICIVAMXMjbpj0oQE+d8ADjY1s+72xsZ2f8m8AF7wZLY+Djwut16PXA8sjEG/HkRqYwMUYzfpF4G1E3Ypz6y7RgiskZENovI5tbW1mhnVadhZ2M3Pq+bcOMu21GS2soFeXQNBNl9uMd2FHWUWBfwT4D5wHKgCfjOdN/AGLPWGLPCGLOioKBghuOpmTIwMsqBtn6WlGRCWEeSbLpkXj4Ab+o4cNyJaQFH7qwLGWPCwM8YG2YAaABmTdi1PLJNJajdTb2EDSwrzbYdJekVZ6cxryBdT8TFoZgWsIiUTHi6Ghi/QuJp4DYRSRWRucBCxhYBVQnIGENVYzcl2Wm66kWcuHR+Hptq2gmGwrajqAmieRnarxk7ibZYROpF5G7g2yKyQ0Qqgb8A/gbAGFMFPAbsAv4IfE6vgEhcLb3DdA4EWVqil57Fi0vn59M/EqKyvst2FDVBNK+C+Pgkmx86wf4PAA9EK4+Knb3NvbgEFhRm2I6iIi6Zl4cIvF7dzvmzc23HURF6J5yaUcYY9jb3MTsvnTSv23YcFZGTnsKZpdls2NdmO4qaQAtYzajGriH6hkdZXKSzb8Wbyxbms6W2k77hUdtRVIQWsJpRe5p78biEeQU68U68uXxhPqNhw0a9GiJuaAGrGWMQqlv6mJefjtetf7Tizfmzc/B53Wyo1mGIeBHNuSBUkun3lzAYDLFIF920bkdlJTesvvWY7WlzruNP+9IsJFKT0QJWM6Ynaw4pHhez8/y2oyS9YNi8Z16Ocb/+9a+oSS2isWuQ0oAujmqbFrCaEaOhML0Zs1iUn47HpcMP8apx66t4rruAj3zpnwn0VB/ZXpCTzaMPr7WYLDlpAasZ8c6hTsLuVD35FueCXU1kp7jJPGcVq86688j2Fx68z2Kq5KWHKmpGrNvdjIRDzNZlh+LerFw/dZ2DukxRHNACVjNi3e4W/IOHSfHoH6l4NzvXz2AwRGvvsO0oSU//tqjTtr+1jwNt/WT01duOoqZgVu7YSdJDHQOWkygtYHXa1u1qBiBTCzghpKd6yMtIoVYL2DotYHXa1u1uZmlJFt5RXXk3UczO9dPUNaTTU1qmBaxOS0f/CO8c6uSaJYW2o6hpqMj1EzKGxq5B21GSmhawOi0vv9tC2MA1S4tsR1HTUBrw4RbRcWDLtIDVafnTvlbyM8amOlSJw+t2URJI03Fgy7SA1SkLhw2vV7exckG+LneegGbn+mnvG6Ffp6e0RgtYnbJ3D/fS1jfCZQvybUdRp6AicjmaHgXbowWsTtnrkWkNL1uoBZyICjJT8XndWsAWaQGrU/ZadRvzC9IpydZZtRKRiDAr10dtxwB6U7IdWsDqlAwFQ7x1oJ3LFxbYjqJOQ0Wun4GREMMpAdtRkpLOhqam7Y671nBw2MfQrFWse+xhNv3fsTvgdlZVscpyNjU94+PA/ekllpMkJy1gNW2tnd0Urvo09bWdfPD2vzoyAc+WNTdZTqamKzPNS47fS7+/1HaUpKRDEOqU1HYMUJyVprOfOUBFrp8BfxFDwZDtKElH//aoaRt1pdLSO3xkVi2V2Cpy/RiXhy2HOm1HSTpawGraBvzFwJ/HD1ViK8/xgwnzmq6WHHNawGra+tNLSHG7KM7S1XWdIMXjwjfYyoZ9WsCxpgWspq3fX0J5jk9vP3aQ9IFGdjZ209E/YjtKUtECVtNyqL2fYEqmDj84TEZ/E8b8+e5GFRtawGpaXov8M1UL2FnShtrJSvPoMESMaQGradmwrw1PsJ+A32s7ippBguHS+fm8tq9VV0uOIS1gNWWhsOGN/W2k9zciouO/TnPZwnwau4eoadOlpWJFC1hN2Y6GbnqGRkkfaLIdRUXBFZF5PXQYIna0gNWUbdjXCqAF7FAVeX4qcv28Fvl9VtEXtQIWkYdFpEVEdk7YlisiL4rIvsivOZHtIiI/FJFqEakUkfOilUudutf2tbG0JAtPaNh2FBUlly3MZ2NNh66WHCPRPAL+BXD9UdvuBdYbYxYC6yPPAW4AFka+1gA/iWIudQoGRkbZUtvJ5Tr5uiPtqKzkhtW38uoTj9I3PMo1n/oSN6y+lTvuWmM7mqNFrYCNMX8COo7afDPwSOTxI8CHJmx/1IzZCAREROfHiyObDnQQDBld/cKhgmHDqnvu5wMfvwsBiq78BKvuuZ/Wzm7b0Rwt1mPARcaY8QHEw8D4WuZlQN2E/eoj244hImtEZLOIbG5t1bGqWNmwr40Uj4sL5uTajqKiKM3rpigrjdp2XaYoFqydhDNjFxtO+4JDY8xaY8wKY8yKggJdjSFWNuxr48I5uaR53bajqCiryPXT3DPEsE5PGXWxLuDm8aGFyK8tke0NwKwJ+5VHtqk40NI7xJ7mXlbq6sdJoSLXjwHqOgdtR3G8WBfw08Cdkcd3Ak9N2H5H5GqIi4HuCUMVyrLx60L1BFxyKM5Ow+sWXS05BqK2JJGI/Bp4H5AvIvXA/wa+BTwmIncDh4BbIrs/B9wIVAMDwF9GK5eaujvuWkNrZzcNxStxp5fyt59fg6Brvzmd2yWU5/ip7RhAFyqKrqgVsDHm48d56epJ9jXA56KVRZ2a1s5urv3rf+LnGw6wIMfPddfdD+jab8mgItfPgbZ+8r0ZtqM4mt4Jp06orW+EgZEQFXk6+1kyObJasl+vBo0mLWB1Qoc6xiZmma3TTyaVHL+XjFQP/ek6CBFNWsDqhA61D5CXkUJ6atRGq1QcEhEqcv30+4sJhXV6ymjRAlbHFRYPTV1DevSbpCpy/YTdqVTWd9mO4lhawOq4BvyFhIzR1S+S1KxcH6DTU0aTFrA6rj5/KW6XUBbw2Y6iLPCneEgdatfl6qNIC1gdV396KeUBHx63/jFJVhn9TWyt7aRveNR2FEfSv1lqUnUdA4ykBvTysySXPtBIMGTYVNNuO4ojaQGrSa3f3QzA3Px0y0mUTb7BFlI9riOrYauZpQWsJrX+3RZShrvJ8afYjqIscpkwF87NZYOOA0eFFrA6Ru9QkI017WT019uOouLAFQsLqG7po6lbZ0ebaVrA6hiv7WsjGDJk9tWdfGfleOOroOgwxMzTAlbHWLe7mWyfF9+grjii4IziTPIzUvV64CjQAlbvEQobXtnTyl8sLkCmv2CJciAR4fKF+WyobiOstyXPKC1g9R5bazvp6B/h6iVFJ99ZJY3LFuTT0T/CrqYe21EcRQtYvce63S14XMKVi3W9PfVn4+PAejXEzNICVkcYY3i+6jAXzcslK81rO46KI0VZaSwuyuTVPXpeYCbpHIPqiF1NPRxo6+evLp9nO4qKEzsqK7lh9a0AtOWfy57cZVz7kTsoyU7j0YfXWk6X+LSA1RHPVjbhdgnXn1lsO4qKE8GwYdU9Y0tRHe4Z4rdv1zH35i9S9+S/Wk7mDDoEoYCx4YdnKxtZuSCf3HS9+00dqygzlYxUD/tb+2xHcQwtYAVAZX03dR2DfOBsXQNMTU5EmFeQzqH2AcLith3HEbSAFQDPVjbidQvXLdXhB3V88wsyGA0bXStuhmgBK8Jhwx8qm7h8YQHZfr36QR1fWcBHqsdFb0aF7SiOoAWs2FrXSWP3kA4/qJNyu4S5+en0ZpQzGgrbjpPwtIAVT25tINXj4tqlevebOrn5BRmE3am8daDDdpSEpwWc5IaCIZ7a1sgNZxaTqTdfqCmYnedHwkGe3dFkO0rC0wJOcn/ceZjeoVFuuWCW7SgqQXjdLjL76vhDZRPDoyHbcRKaFnCS++3bdVTk+rl4bp7tKCqBZPfU0D0Y5BW9Nfm0aAEnsUPt/bxZ084tK8pxucR2HJVA0vubyEtP4altDbajJDQt4CT2u831uAQ+cn657SgqwQiGD55TyrrdLXQPBm3HSVhawEkqFDY8/k49VywqoCTbZzuOSkCrzy1jZDTMH3fqybhTpZPxJIk77lpDa2f3kee96eUcLr8K9+4/csdrP9eZrdS0nV2ezdz8dH6/tZFbL9AbM06FFnCSaO3sPjKrFcATW+vJ6A/y4U9+hnU//QeLyVSiEhE+tLyM76/fS0PXIGUB/ZfUdGkBJ6H2vmHqOga5ZH4eLpe8Z87XiXZWVbHKQj6VOD5yfhk/WL+XX206xFevO8N2nIRjpYBF5CDQC4SAUWPMChHJBX4LzAEOArcYYzpt5HO67fXduF3CmaVZwHvnfJ1oy5qbYh1NJZjyHD9XLyni12/V8YWrFpLm1VnSpsPmSbi/MMYsN8asiDy/F1hvjFkIrI88VzNsOBji3cM9LCrKwJ+i/wBSp+/OS+bQ0T/Cc3pn3LTF01UQNwOPRB4/AnzIXhTnqmrqIRgyLC8P2I6iHGLlgjzmFaTz6JuHbEdJOLYOgQzwgogY4D+MMWuBImPM+P9CDwOTzgwjImuANQAVFXrmdTrCxlBZ301JdhqFWWm246gEdvR5g/7AGdQUXcj7Pn4PFb5RvapmimwV8GXGmAYRKQReFJF3J75ojDGRcj5GpKzXAqxYsWLSfdTk9rf00T0YZOUCve1YnZ6jzxsMj4Z4aMMBfBfdRuurP7aYLLFYGYIwxjREfm0BngQuBJpFpAQg8muLjWxOZYDNhzoJ+LzML8iwHUc5TKrHzZKSLPY09xL0pNuOkzBiXsAiki4imeOPgVXATuBp4M7IbncCT8U6m5MN+Ipo6R3mvNk5uETnfVAz7/zZOQC05Z1pOUnisDEEUQQ8KWMl4AF+ZYz5o4i8DTwmIncDh4BbLGRzrPbcM/F53SwpzrQdRTlUVpqXZaXZ7AgvoK5jgFm5ftuR4l7MC9gYUwOcM8n2duDqWOdJBrsae+jPKOOSigAedzxd+KKc5oI5Oeys6+DHL1fzrY+cbTtO3NO/jUlg7Z/24woHObss23YU5XCZaV4C3ft4/J166joGbMeJe1rADlffOcAzlU0EuvbqXUoqJvI6duByCd99ca/tKHFPC9jhHtpwAAFyO3fbjqKShHd0kLsvm8uTWxt4+6Au3HkiWsAO1t43zG/equOm5aV4R/Wfgyp2vnDVAkqz07jv9zt1+foT0AJ2sJ+9doCh0RD3vG+B7SgqyfhTPHzjA0t593Av/7lRb1E+Hi1gh+roH+HRNw/ywbNLWVCoN16o2LvhzGIuX5jPd17YS0vvkO04cUkL2KF+9loNg8EQX7xaj36VHSLCP960jOHRMP/w+yqM0ZkDjqbzETrMHXetoal7iP3zP0xmXz1f+OyjgE6urmLn6Il6AjnL+GPofK6/536e/4muvjKRFrDDtHZ2E7juS4QPdnLTtVeSlzFWuzq5uoqVoyfqCZuxBWD3hc7kcPcQxdk6E984HYJwmKDHx9baLhYVZpCXkWo7jlK4RLh2aRFG3Pz9f1XqUMQEWsAO05q3nLAxXLog33YUpY7I8adQ2PoOr+5t5ZE3DtqOEze0gB1kd1MP3dkLOGdWgGyf13Ycpd4jp2sPV59RyL889y5Vjd2248QFLWAH+ZfnduMKj3DhnFzbUZQ6hgD/+rFzyEn38oVfb2VgZNR2JOv0JJxDvLKnhdf2tVHYXkmaV+djVfFnR2Ult3/yU6T6iqiZtYpLvvgjSpvfpCAnO2mXMNICdoDBkRD/8FQVc/PTSdm7x3YcpSY18eqIN/a38fbBhVyy8nIOPfFty8ns0SEIB/jB+n3UdgzwL6vPwmX0vnsV/y6em0dJdhovvdvCiDd5FwnQAk5wmw92sPZP+7l1xSwuma+LbarE4HIJ1y8rxiVQX/Y+BkdCtiNZoQWcwLoHg3z5t9soy/HxjQ8ssR1HqWnJ8nm5/sxihlMC/K8ndyTl9cFawAkqFDZ86TdbOdw9xPdvPZfMNL3sTCWe2Xnp5Ldv48mtDUk5a5oWcAIyxvDAH3bzyp5W/vGmZUdWo1UqEeW37+CqMwr5p2d3saW203acmNICTjDGGL6/bh8Pv36Av1w5h09ePNt2JKVOiwDfu2U5Jdk+7vnPLUk1daVehpZAwmHDA8/t5qENB/jY+eXc9/6ltiMpddp2VFZy2+2fxJ2aQ3PF9Vxx32NU1D5PcSDd8dcHawEniI7+Ef7mt9t4dW8rf7lyDve9fykul9iOpdRpm3h98IG2fp6pbGT44s/Q8uZ/WE4WfVrAcc4YwxNbGnjgud30DY3yzx86k9svqkBEy1c5z9z8dK46o5D1u1vILr6UUNjgdvCBhhZwHNvZ0M39z+5i04EOzqsI8MDqs1hSkgWMTbze2nnshCY68bpKdGeWZtM/PMrGGvjyb7fx3VvOwet25ukqLeA4MbFQh1IDtOYtpy+zAk94hP/vo+dz64pZ7xlyaO3sfs+k1+N04nXlBBfNzWP/phd5Zjv0DQV58Pbz8aW4bceacVrAcaK1s5vz7vgGmw50cKCljxSPi4srAmz4zj08um8Rjx61vx7pKqfL76jiy2vu5Bu/38lta9/k3z9+HhV5ftuxZpQWcBzYc7iX+pIr2L2plhS3iwvn5HJuRYA0r5uXRwb1SFclrdsvmk1+Ripf/d12bvzhazyw+kxuXl5mO9aM0QK2qLqll++t28dzO5qQ9NL3FK9Sasx1y4pZVprFl3+zjS/9ZhvPbG/k3huWsKAww3a006YFbEFt+wDfX7eX329rwOd1c8/75vPC2n/hklXfsB1Nqbhx9OrKBqEwdykvh8/m5T2t3HbBLD57xfyEHpbQAo6hw91D/PtL+/jt23W4XcJnLp/H/7hyPrnpKbz002Hb8ZSKK0evrjzuuf/4Zy751N/xq021/OqtWq5dUsSnL53DxfPyEu7aeC3gGGjsGuShDQf4z42HGAmOEujaS177Dl6rGuS1n43toyfVlJqa3VvfxhO6nzkeH52BxayvXMQLu5pJCQ1y11VnsvrcMhYXJ8Ycw1rAUWKMYWdDDw+/foBntjdigNXnlrH1sR/wgTX3Ah98z/56Uk2pqTn6yHg0FGZ/az8bNm3mZ6/V8NNX93NGcSbXLSvm2qVFLCvNitsbl7SAZ1hzzxCf+Nr3qfeWMZyWi4SD5HTtI6dzN1W7+9lbVWU7olKO4nG7WFycybP//X2WnHshPZlzODQwmx809fCD9fvwBPsoDDbzb1/8BOfPySHVEz8nubWAT9NQMMS2ui421XTw0rvNbK/vhsyzKMxMZVlpFouLMkn1LgVuBvRIV6loCYYNN37260eeD4yMcqCtn/2t6dQ0p/KJn29CwqP4BlvxDzbjH2hmli/ILx/6ibXMcVfAInI98APADfzcGPMtm3mMMfQOj9LaO0xb7zCtfcPUdQyyr6WXfc19vHu4h2BobCb/5bMCfPW6xfzXT7/NBz/ztzZjK5X0/CkelpVms6w0m2/d80U+9s1fUN85SENnOq19JQDUApd/+yUWFWZSluOjKCuN4qw0frH2Qfq6O3CHRnCHhhEzisCMr+AcVwUsIm7gx8C1QD3wtog8bYzZNRPvb4zhjofforLqXUZChrC4QFyExY0RFy6Xh/TMTEZDhmA4zGjIMBqefJmUoqxUFhZmcvdl87hgTg7nVeSQk54CwLM/PHaOBqWURaMjzC/IYH7B2LXDQ8EQjd2DbFz3HOecfSPVLX1sPtRJ92BwbP+clTBhnQOXQJrXTV37gRmNFVcFDFwIVBtjagBE5DeM/dt9RgpYRBgKhgiOjlJQPg+3S3AJuF2C2yVUvf4i6TkBPCaMlzBiwogxdByupzg3C09oEPfoEN7RftzhIBvf3U37GUt49aifo1c0KBXf0rxu5uVnUN2xgx994s/X3w+OhGjuGeKOL36Ns97/aYZGQwwHwwwFQwwFQxxunNkVOySeFsITkY8C1xtjPhN5/ingImPM5yfsswZYE3m6GNgTg2j5QFsMfk680s+vn18//+lpM8Zcf/TGeDsCPiljzFogptPki8hmY8yKWP7MeKKfXz+/fv7ofP54m2SzAZg14Xl5ZJtSSjlOvBXw28BCEZkrIinAbcDTljMppVRUxNUQhDFmVEQ+DzzP2GVoDxtj4uHOBWevDHhy+vmTm37+KImrk3BKKZVM4m0IQimlkoYWsFJKWaIFPAkRyRWRF0VkX+TXnEn2WS4ib4pIlYhUisitk71XIprK54/s90cR6RKRZ2OdMRpE5HoR2SMi1SJy7ySvp4rIbyOvbxKRORZiRs0UPv8VIrJFREYj1+w7yhQ+/1dEZFfk7/t6EZl9uj9TC3hy9wLrjTELgfWR50cbAO4wxiwDrge+LyKB2EWMqql8foB/BT4Vs1RRNOE2+BuApcDHRWTpUbvdDXQaYxYA3wP+T2xTRs8UP38t8GngV7FNF31T/PxbgRXGmLOBx4Fvn+7P1QKe3M3AI5HHjwAfOnoHY8xeY8y+yONGoAUoiFXAKDvp5wcwxqwHemOUKdqO3AZvjBkBxm+Dn2jif5fHgaslXieanb6Tfn5jzEFjTCUQthEwyqby+V82xgxEnm5k7D6F06IFPLkiY0xT5PFhoOhEO4vIhUAKsD/awWJkWp/fIcqAugnP6yPbJt3HGDMKdAN5MUkXfVP5/E423c9/N/Dfp/tD4+o64FgSkXVA8SQvfX3iE2OMEZHjXqsnIiXA/wPuNMYkzJHBTH1+pZKNiHwSWAFcebrvlbQFbIy55niviUiziJQYY5oiBdtynP2ygD8AXzfGbIxS1KiYic/vMFO5DX58n3oR8QDZQHts4kVdsk8DMKXPLyLXMHaQcqUx5rRX0tUhiMk9DdwZeXwn8NTRO0RulX4SeNQY83gMs8XCST+/A03lNviJ/10+CrxknHMnU7JPA3DSzy8i5wL/AdxkjJmZgxJjjH4d9cXYuN56YB+wDsiNbF/B2CodAJ8EgsC2CV/LbWeP1eePPH8NaAUGGRszu8529tP83DcCexkby/96ZNs/Rf7CAaQBvwOqgbeAebYzx/jzXxD5fe5n7Mi/ynbmGH/+dUDzhL/vT5/uz9RbkZVSyhIdglBKKUu0gJVSyhItYKWUskQLWCmlLNECVkopS7SAlZpARNwistUpM7yp+KYFrNR7fQnYbTuESg5awEpFiEg58H7g57azqOSgBazUn30f+DucOd2iikNawEoBIvIBoMUY847tLCp5aAErNWYlcJOIHGRsMu6rROQ/7UZSTqdzQSh1FBF5H/C3xpgPWI6iHE6PgJVSyhI9AlZKKUv0CFgppSzRAlZKKUu0gJVSyhItYKWUskQLWCmlLNECVkopS7SAlVLKkv8f+Vg3hWmDcFMAAAAASUVORK5CYII=", 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", "text/plain": [ "
" ] }, "execution_count": 21, "metadata": { "needs_background": "light" }, "output_type": "execute_result" }, { "name": "stdout", "output_type": "stream", "text": [ "On a scale of 1-5, how much do you dislike risk? 1=not bothered by risk, 5=extremely worried about risk.\n", "5\n" ] }, { "data": { "text/plain": [ "5" ] }, "execution_count": 21, "metadata": { }, "output_type": "execute_result" } ], "source": [ "get_risk_preference()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (system-wide)", "language": "python", "metadata": { "cocalc": { "description": "Python 3 programming language", "priority": 100, "url": "https://www.python.org/" } }, "name": "python3", "resource_dir": "/ext/jupyter/kernels/python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.1" } }, "nbformat": 4, "nbformat_minor": 4 }