ml-finance-python
python scripts for finance machine learning
git clone https://9o.is/git/ml-finance-python.git
lab_203.ipynb
(106160B)
1 {
2 "cells": [
3 {
4 "cell_type": "markdown",
5 "metadata": {},
6 "source": [
7 "# Comparing EW and CapWeighted Portfolios\n",
8 "\n",
9 "Load the EW and VW versions of the returns of the industry portfolios."
10 ]
11 },
12 {
13 "cell_type": "code",
14 "execution_count": 2,
15 "metadata": {},
16 "outputs": [],
17 "source": [
18 "import numpy as np\n",
19 "import pandas as pd\n",
20 "\n",
21 "import edhec_risk_kit_203 as erk\n",
22 "\n",
23 "%load_ext autoreload\n",
24 "%autoreload 2\n",
25 "\n",
26 "ind_cw = erk.get_ind_returns(ew=False)\n",
27 "ind_ew = erk.get_ind_returns(ew=True)"
28 ]
29 },
30 {
31 "cell_type": "code",
32 "execution_count": 3,
33 "metadata": {},
34 "outputs": [],
35 "source": [
36 "sr = pd.DataFrame({\"CW\": erk.sharpe_ratio(ind_cw[\"1945\":], 0.03, 12), \"EW\": erk.sharpe_ratio(ind_ew[\"1945\":], 0.03, 12)})"
37 ]
38 },
39 {
40 "cell_type": "code",
41 "execution_count": 4,
42 "metadata": {},
43 "outputs": [
44 {
45 "data": {
46 "text/plain": [
47 "<matplotlib.axes._subplots.AxesSubplot at 0x22f7f134d88>"
48 ]
49 },
50 "execution_count": 4,
51 "metadata": {},
52 "output_type": "execute_result"
53 },
54 {
55 "data": {
56 "image/png": 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\n",
57 "text/plain": [
58 "<Figure size 864x432 with 1 Axes>"
59 ]
60 },
61 "metadata": {
62 "needs_background": "light"
63 },
64 "output_type": "display_data"
65 }
66 ],
67 "source": [
68 "sr.plot.bar(figsize=(12, 6))"
69 ]
70 },
71 {
72 "cell_type": "code",
73 "execution_count": 5,
74 "metadata": {},
75 "outputs": [
76 {
77 "data": {
78 "text/plain": [
79 "63.333333333333336"
80 ]
81 },
82 "execution_count": 5,
83 "metadata": {},
84 "output_type": "execute_result"
85 }
86 ],
87 "source": [
88 "(sr[\"EW\"] > sr[\"CW\"]).sum()*100/sr.shape[0]"
89 ]
90 },
91 {
92 "cell_type": "code",
93 "execution_count": 6,
94 "metadata": {},
95 "outputs": [
96 {
97 "data": {
98 "text/plain": [
99 "Text(0.5, 1.0, 'Average Trailing 5 year Sharpe Ratio across 30 Industry Portfolios 1945-2018')"
100 ]
101 },
102 "execution_count": 6,
103 "metadata": {},
104 "output_type": "execute_result"
105 },
106 {
107 "data": {
108 "image/png": 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\n",
109 "text/plain": [
110 "<Figure size 864x360 with 1 Axes>"
111 ]
112 },
113 "metadata": {
114 "needs_background": "light"
115 },
116 "output_type": "display_data"
117 }
118 ],
119 "source": [
120 "ax = ind_cw.rolling(60).apply(erk.sharpe_ratio, raw=True, kwargs={\"riskfree_rate\":0.03, \"periods_per_year\":12}).mean(axis=1)[\"1945\":].plot(figsize=(12,5), label=\"CW\", legend=True)\n",
121 "ind_ew.rolling(60).apply(erk.sharpe_ratio, raw=True, kwargs={\"riskfree_rate\":0.03, \"periods_per_year\":12}).mean(axis=1)[\"1945\":].plot(ax=ax, label=\"EW\", legend=True)\n",
122 "ax.set_title(\"Average Trailing 5 year Sharpe Ratio across 30 Industry Portfolios 1945-2018\")"
123 ]
124 },
125 {
126 "cell_type": "code",
127 "execution_count": null,
128 "metadata": {},
129 "outputs": [],
130 "source": []
131 }
132 ],
133 "metadata": {
134 "kernelspec": {
135 "display_name": "Python 3",
136 "language": "python",
137 "name": "python3"
138 },
139 "language_info": {
140 "codemirror_mode": {
141 "name": "ipython",
142 "version": 3
143 },
144 "file_extension": ".py",
145 "mimetype": "text/x-python",
146 "name": "python",
147 "nbconvert_exporter": "python",
148 "pygments_lexer": "ipython3",
149 "version": "3.8.8"
150 }
151 },
152 "nbformat": 4,
153 "nbformat_minor": 4
154 }