From 28d04de56d15b1f4c04ba4724f4419dc372ace91 Mon Sep 17 00:00:00 2001 From: whenpoem <826450156@qq.com> Date: Wed, 22 Apr 2026 08:23:58 +0800 Subject: [PATCH 1/2] Bundle cookbook example data and remove yfinance --- cookbook/1-RiskReturnModels.ipynb | 133 +- cookbook/2-Mean-Variance-Optimisation.ipynb | 6216 +----------- ...-Advanced-Mean-Variance-Optimisation.ipynb | 781 +- cookbook/4-Black-Litterman-Allocation.ipynb | 798 +- cookbook/5-Hierarchical-Risk-Parity.ipynb | 561 +- pypfopt/data/__init__.py | 31 + pypfopt/data/example_market_caps.json | 12 + pypfopt/data/spy_prices.csv | 8018 +++++++++++++++ pypfopt/data/stock_prices.csv | 8797 +++++++++++++++++ pyproject.toml | 4 +- tests/test_data.py | 39 + tests/test_imports.py | 6 + 12 files changed, 17250 insertions(+), 8146 deletions(-) create mode 100644 pypfopt/data/__init__.py create mode 100644 pypfopt/data/example_market_caps.json create mode 100644 pypfopt/data/spy_prices.csv create mode 100644 pypfopt/data/stock_prices.csv create mode 100644 tests/test_data.py diff --git a/cookbook/1-RiskReturnModels.ipynb b/cookbook/1-RiskReturnModels.ipynb index 3da6e9e0..9c40b7bf 100644 --- a/cookbook/1-RiskReturnModels.ipynb +++ b/cookbook/1-RiskReturnModels.ipynb @@ -24,7 +24,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -44,7 +44,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -53,18 +53,7 @@ "id": "3aAcuLOKzwIT", "outputId": "456251e3-a9fd-4e83-8847-44cb43dbb422" }, - "outputs": [ - { - "data": { - "text/plain": [ - "'1.5.6'" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", @@ -72,13 +61,14 @@ "\n", "import pypfopt\n", "from pypfopt import expected_returns, plotting, risk_models\n", + "from pypfopt.data import load_example_prices\n", "\n", - "pypfopt.__version__" + "pypfopt.__version__\n" ] }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -87,7 +77,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -96,37 +86,16 @@ "id": "7qZAgKeXzwIV", "outputId": "ab5103ba-600c-4a48-9133-651831294447" }, - "outputs": [ - { - "data": { - "image/png": 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", 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ - "df = pd.read_csv(\"data/stock_prices.csv\", parse_dates=True, index_col=\"date\")\n", + "df = load_example_prices()\n", "past_df, future_df = df.iloc[:-250], df.iloc[-250:]\n", "future_cov = risk_models.sample_cov(future_df)\n", "\n", "sample_cov = risk_models.sample_cov(past_df)\n", "plotting.plot_covariance(sample_cov, plot_correlation=True)\n", "plotting.plot_covariance(future_cov, plot_correlation=True)\n", - "plt.show()" + "plt.show()\n" ] }, { @@ -140,7 +109,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -149,18 +118,7 @@ "id": "Ig1n6qISzwIW", "outputId": "69e03da8-4df2-44a2-ad9e-ede97215ca9b" }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "future_variance = np.diag(future_cov)\n", "mean_abs_errors = []\n", @@ -198,7 +156,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -207,28 +165,7 @@ "id": "y4PjMrS0zwIX", "outputId": "ef412b6e-8bc5-4a62-a26f-6e9932bc8453" }, - "outputs": [ - { - "data": { - "image/png": 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", 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "exp_cov = risk_models.exp_cov(past_df)\n", "plotting.plot_covariance(exp_cov, plot_correlation=True)\n", @@ -249,7 +186,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -258,18 +195,7 @@ "id": "bgQNHK4bzwIY", "outputId": "b1230c6a-aeb7-4011-b7f9-636a888eca20" }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "future_rets = expected_returns.mean_historical_return(future_df)\n", "mean_abs_errors = []\n", @@ -291,7 +217,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -299,15 +225,7 @@ "id": "yNwdw7oszwIZ", "outputId": "c91a5204-20fe-4e0c-fd26-31d67ab46818" }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[np.float64(0.2882364468648248), np.float64(0.29381479725985077), np.float64(0.2559298526725975)]\n" - ] - } - ], + "outputs": [], "source": [ "print(mean_abs_errors)" ] @@ -323,7 +241,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -332,18 +250,7 @@ "id": "zJsV7D2vzwIa", "outputId": "8ec9fe02-0ee3-4069-a42b-4e81c7ffb8ed" }, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "fig, axs = plt.subplots(1, len(return_methods), sharey=True, figsize=(15, 10))\n", "\n", diff --git a/cookbook/2-Mean-Variance-Optimisation.ipynb b/cookbook/2-Mean-Variance-Optimisation.ipynb index 7aba6f28..9a51f297 100644 --- a/cookbook/2-Mean-Variance-Optimisation.ipynb +++ b/cookbook/2-Mean-Variance-Optimisation.ipynb @@ -14,7 +14,7 @@ "\n", "Some of the things we cover:\n", "\n", - "- Downloading data and getting it into PyPortfolioOpt\n", + "- Loading bundled example data and getting it into PyPortfolioOpt\n", "- Calculating and visualising the covariance matrix\n", "- Optimising a long/short portfolio to minimise total variance\n", "- Optimising a portfolio to maximise the Sharpe ratio, subject to sector constraints\n", @@ -29,9 +29,9 @@ "\n", "Please consult the [docs](https://pyportfolioopt.readthedocs.io/) for more info.\n", "\n", - "## Downloading data\n", + "## Loading bundled example data\n", "\n", - "To download data, we will use `yfinance`, an excellent library that provides free price data from Yahoo Finance, no API key needed.\n", + "For this example, we will use price history that ships with the package so the notebook runs without downloading data from the internet.\n", "\n", "[![Open In Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/pyportfolio/pyportfolioopt/blob/master/cookbook/2-Mean-Variance-Optimisation.ipynb)\n", " \n", @@ -39,7 +39,7 @@ " \n", "[![Gradient](https://assets.paperspace.io/img/gradient-badge.svg)](https://console.paperspace.com/github/pyportfolio/pyportfolioopt/blob/master/cookbook/2-Mean-Variance-Optimisation.ipynb)\n", " \n", - "[![Open In SageMaker Studio Lab](https://studiolab.sagemaker.aws/studiolab.svg)](https://studiolab.sagemaker.aws/import/github/pyportfolio/pyportfolioopt/blob/master/cookbook/2-Mean-Variance-Optimisation.ipynb)" + "[![Open In SageMaker Studio Lab](https://studiolab.sagemaker.aws/studiolab.svg)](https://studiolab.sagemaker.aws/import/github/pyportfolio/pyportfolioopt/blob/master/cookbook/2-Mean-Variance-Optimisation.ipynb)\n" ] }, { @@ -56,68 +56,14 @@ } }, "source": [ - "!pip install pandas numpy matplotlib yfinance PyPortfolioOpt\n", + "!pip install pandas numpy matplotlib PyPortfolioOpt\n", "import os\n", "if not os.path.isdir('data'):\n", " os.system('git clone https://github.com/pyportfolio/pyportfolioopt.git')\n", - " os.chdir('PyPortfolioOpt/cookbook')" + " os.chdir('PyPortfolioOpt/cookbook')\n" ], - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Requirement already satisfied: pandas in /Users/thomasschmelzer/projects/PyPortfolioOpt/.venv/lib/python3.12/site-packages (2.3.3)\r\n", - "Requirement already satisfied: numpy in /Users/thomasschmelzer/projects/PyPortfolioOpt/.venv/lib/python3.12/site-packages (2.3.4)\r\n", - "Requirement already satisfied: matplotlib in /Users/thomasschmelzer/projects/PyPortfolioOpt/.venv/lib/python3.12/site-packages (3.10.7)\r\n", - "Requirement already satisfied: yfinance in /Users/thomasschmelzer/projects/PyPortfolioOpt/.venv/lib/python3.12/site-packages (0.2.66)\r\n", - "Requirement already satisfied: PyPortfolioOpt in /Users/thomasschmelzer/projects/PyPortfolioOpt/.venv/lib/python3.12/site-packages (1.5.6)\r\n", - 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"import numpy as np" + "import numpy as np\n", + "\n", + "from pypfopt.data import load_example_prices\n" ], "outputs": [], - "execution_count": 8 + "execution_count": null }, { "cell_type": "code", @@ -147,12 +94,11 @@ } }, "source": [ - "tickers = [\"MSFT\", \"AMZN\", \"KO\", \"MA\", \"COST\", \n", - " \"LUV\", \"XOM\", \"PFE\", \"JPM\", \"UNH\", \n", - " \"ACN\", \"DIS\", \"GILD\", \"F\", \"TSLA\"] " + "tickers = [\"AAPL\", \"AMD\", \"AMZN\", \"BAC\", \"GOOG\", \"JPM\",\n", + " \"MA\", \"META\", \"PFE\", \"SBUX\", \"WMT\", \"XOM\"]\n" ], "outputs": [], - "execution_count": 9 + "execution_count": null }, { "cell_type": "code", @@ -167,19 +113,11 @@ "start_time": "2025-11-12T08:10:54.345590Z" } }, - "source": "ohlc = yf.download(tickers, period=\"max\").loc[\"1990\":]", - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/_3/k_9k5d5n5zz57w7qfll9rzs40000gn/T/ipykernel_59786/3860718606.py:1: FutureWarning: YF.download() has changed argument auto_adjust default to True\n", - " ohlc = yf.download(tickers, period=\"max\").loc[\"1990\":]\n", - "[*********************100%***********************] 15 of 15 completed\n" - ] - } + "source": [ + "prices = load_example_prices()[tickers].dropna()\n" ], - "execution_count": 10 + "outputs": [], + "execution_count": null }, { "cell_type": "code", @@ -196,193 +134,10 @@ } }, "source": [ - "prices = ohlc[\"Close\"].dropna(how=\"all\")\n", - "prices.tail()" - ], - "outputs": [ - { - "data": { - "text/plain": [ - "Ticker ACN AMZN COST DIS F \\\n", - "Date \n", - "2025-11-05 247.820007 250.199997 935.030029 111.360001 12.960114 \n", - "2025-11-06 241.339996 243.039993 923.580017 110.489998 12.969999 \n", - "2025-11-07 245.759995 244.410004 922.739990 110.739998 13.210000 \n", - "2025-11-10 244.550003 248.399994 915.559998 112.239998 13.160000 \n", - "2025-11-11 242.559998 249.100006 913.859985 114.849998 13.300000 \n", - "\n", - "Ticker GILD JPM KO LUV MA \\\n", - "Date \n", - "2025-11-05 122.580002 311.679993 68.510002 31.620001 553.309998 \n", - 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" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - } + "prices.tail()\n" ], - "execution_count": 11 + "outputs": [], + "execution_count": null }, { "cell_type": "code", @@ -401,22 +156,8 @@ "source": [ "prices[prices.index >= \"2008-01-01\"].plot(figsize=(15,10));" ], - "outputs": [ - { - "data": { - "text/plain": [ - "
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" - }, - "metadata": {}, - "output_type": "display_data", - "jetTransient": { - "display_id": null - } - } - ], - "execution_count": 12 + "outputs": [], + "execution_count": null }, { "cell_type": "markdown", @@ -445,19 +186,8 @@ "import pypfopt\n", "pypfopt.__version__" ], - "outputs": [ - { - "data": { - "text/plain": [ - "'1.5.6'" - ] - }, - "execution_count": 13, - "metadata": {}, - "output_type": "execute_result" - } - ], - "execution_count": 13 + "outputs": [], + "execution_count": null }, { "cell_type": "code", @@ -480,400 +210,8 @@ "sample_cov = risk_models.sample_cov(prices, frequency=252)\n", "sample_cov" ], - "outputs": [ - { - "data": { - "text/plain": [ - "Ticker ACN AMZN COST DIS F GILD JPM \\\n", - "Ticker \n", - "ACN 0.087879 0.045211 0.027071 0.039502 0.042549 0.027293 0.044863 \n", - "AMZN 0.045211 0.307429 0.045653 0.054003 0.051213 0.052769 0.061962 \n", - "COST 0.027071 0.045653 0.092634 0.027938 0.029847 0.025282 0.035684 \n", - "DIS 0.039502 0.054003 0.027938 0.089013 0.042917 0.030226 0.049604 \n", - "F 0.042549 0.051213 0.029847 0.042917 0.150588 0.028601 0.059010 \n", - "GILD 0.027293 0.052769 0.025282 0.030226 0.028601 0.217525 0.039475 \n", - "JPM 0.044863 0.061962 0.035684 0.049604 0.059010 0.039475 0.133386 \n", - "KO 0.019031 0.018045 0.017898 0.021648 0.022414 0.016203 0.024977 \n", - "LUV 0.036189 0.046514 0.028906 0.041307 0.050190 0.029633 0.052660 \n", - "MA 0.043097 0.052424 0.030250 0.046985 0.056848 0.029258 0.062078 \n", - "MSFT 0.039949 0.070593 0.033754 0.037004 0.038372 0.032517 0.045667 \n", - "PFE 0.024414 0.028826 0.022277 0.024385 0.024299 0.031389 0.031981 \n", - "TSLA 0.042784 0.068915 0.030881 0.044845 0.059557 0.028156 0.042675 \n", - "UNH 0.028149 0.031414 0.023572 0.028374 0.028534 0.032010 0.037662 \n", - "XOM 0.027694 0.024803 0.017215 0.027860 0.030204 0.019950 0.034202 \n", - "\n", - "Ticker KO LUV MA MSFT PFE TSLA UNH \\\n", - "Ticker \n", - "ACN 0.019031 0.036189 0.043097 0.039949 0.024414 0.042784 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TickerACNAMZNCOSTDISFGILDJPMKOLUVMAMSFTPFETSLAUNHXOM
Ticker
ACN0.0878790.0452110.0270710.0395020.0425490.0272930.0448630.0190310.0361890.0430970.0399490.0244140.0427840.0281490.027694
AMZN0.0452110.3074290.0456530.0540030.0512130.0527690.0619620.0180450.0465140.0524240.0705930.0288260.0689150.0314140.024803
COST0.0270710.0456530.0926340.0279380.0298470.0252820.0356840.0178980.0289060.0302500.0337540.0222770.0308810.0235720.017215
DIS0.0395020.0540030.0279380.0890130.0429170.0302260.0496040.0216480.0413070.0469850.0370040.0243850.0448450.0283740.027860
F0.0425490.0512130.0298470.0429170.1505880.0286010.0590100.0224140.0501900.0568480.0383720.0242990.0595570.0285340.030204
GILD0.0272930.0527690.0252820.0302260.0286010.2175250.0394750.0162030.0296330.0292580.0325170.0313890.0281560.0320100.019950
JPM0.0448630.0619620.0356840.0496040.0590100.0394750.1333860.0249770.0526600.0620780.0456670.0319810.0426750.0376620.034202
KO0.0190310.0180450.0178980.0216480.0224140.0162030.0249770.0473420.0191650.0237700.0207170.0213490.0145690.0217700.019547
LUV0.0361890.0465140.0289060.0413070.0501900.0296330.0526600.0191650.1371590.0451740.0333640.0241310.0476660.0302390.022862
MA0.0430970.0524240.0302500.0469850.0568480.0292580.0620780.0237700.0451740.1058720.0453150.0289300.0469050.0373900.037327
MSFT0.0399490.0705930.0337540.0370040.0383720.0325170.0456670.0207170.0333640.0453150.0981250.0259400.0527740.0297050.023631
PFE0.0244140.0288260.0222770.0243850.0242990.0313890.0319810.0213490.0241310.0289300.0259400.0704250.0170490.0279430.021544
TSLA0.0427840.0689150.0308810.0448450.0595570.0281560.0426750.0145690.0476660.0469050.0527740.0170490.3353040.0269240.026332
UNH0.0281490.0314140.0235720.0283740.0285340.0320100.0376620.0217700.0302390.0373900.0297050.0279430.0269240.1307070.022519
XOM0.0276940.0248030.0172150.0278600.0302040.0199500.0342020.0195470.0228620.0373270.0236310.0215440.0263320.0225190.061641
\n", - "
" - ] - }, - "execution_count": 14, - "metadata": {}, - "output_type": "execute_result" - } - ], - "execution_count": 14 + "outputs": [], + "execution_count": null }, { "cell_type": "code", @@ -892,22 +230,8 @@ "source": [ "plotting.plot_covariance(sample_cov, plot_correlation=True);" ], - "outputs": [ - { - "data": { - "text/plain": [ - "
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" - }, - "metadata": {}, - "output_type": "display_data", - "jetTransient": { - "display_id": null - } - } - ], - "execution_count": 15 + "outputs": [], + "execution_count": null }, { "cell_type": "markdown", @@ -936,22 +260,8 @@ "S = risk_models.CovarianceShrinkage(prices).ledoit_wolf()\n", "plotting.plot_covariance(S, plot_correlation=True);" ], - "outputs": [ - { - "data": { - "text/plain": [ - "
" - ], - "image/png": 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" - }, - "metadata": {}, - "output_type": "display_data", - "jetTransient": { - "display_id": null - } - } - ], - "execution_count": 16 + "outputs": [], + "execution_count": null }, { "cell_type": "markdown", @@ -985,35 +295,8 @@ "mu = expected_returns.capm_return(prices)\n", "mu" ], - "outputs": [ - { - "data": { - "text/plain": [ - "Ticker\n", - "ACN 0.202011\n", - "AMZN 0.352581\n", - "COST 0.175672\n", - "DIS 0.206533\n", - "F 0.241105\n", - "GILD 0.240912\n", - "JPM 0.263090\n", - "KO 0.118175\n", - "LUV 0.224131\n", - "MA 0.244448\n", - "MSFT 0.215577\n", - "PFE 0.152560\n", - "TSLA 0.309169\n", - "UNH 0.193748\n", - "XOM 0.139997\n", - "Name: mkt, dtype: float64" - ] - }, - "execution_count": 17, - "metadata": {}, - "output_type": "execute_result" - } - ], - "execution_count": 17 + "outputs": [], + "execution_count": null }, { "cell_type": "code", @@ -1032,22 +315,8 @@ "source": [ "mu.plot.barh(figsize=(10,6));" ], - "outputs": [ - { - "data": { - "text/plain": [ - "
" - ], - "image/png": 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" - }, - "metadata": {}, - "output_type": "display_data", - "jetTransient": { - "display_id": null - } - } - ], - "execution_count": 18 + "outputs": [], + "execution_count": null }, { "cell_type": "markdown", @@ -1073,7 +342,7 @@ "from pypfopt import EfficientFrontier" ], "outputs": [], - "execution_count": 19 + "execution_count": null }, { "cell_type": "code", @@ -1097,33 +366,8 @@ "weights = ef.clean_weights()\n", "weights" ], - "outputs": [ - { - "data": { - "text/plain": [ - "OrderedDict([('ACN', 0.15633),\n", - " ('AMZN', 0.00186),\n", - " ('COST', 0.0855),\n", - " ('DIS', 0.00281),\n", - " ('F', -0.01711),\n", - " ('GILD', 0.03164),\n", - " ('JPM', -0.06418),\n", - " ('KO', 0.2675),\n", - " ('LUV', 0.02184),\n", - " ('MA', 0.17125),\n", - " ('MSFT', -0.00282),\n", - " ('PFE', 0.10258),\n", - " ('TSLA', 0.08633),\n", - " ('UNH', 0.02722),\n", - " ('XOM', 0.12927)])" - ] - }, - "execution_count": 20, - "metadata": {}, - "output_type": "execute_result" - } - ], - "execution_count": 20 + "outputs": [], + "execution_count": null }, { "cell_type": "code", @@ -1142,22 +386,8 @@ "source": [ "pd.Series(weights).plot.barh();" ], - "outputs": [ - { - "data": { - "text/plain": [ - "
" - ], - "image/png": 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syxIvolZLqYnFav4NQ1TujWtLAQDu5fObC2fCbXGhTADAveDCmQAAwCiEGwAAYBTCDQAAMArhBgAAGIVwAwAAjEK4AQAARiHcAAAAoxBuAACAUQg3AADAKIQbAABgFMINAAAwCteWgsdeSBOAe+F6cHAX9NwAAACjuDTcxMTEiM1mk8GDB2fZN2zYML1P1clox44d4uPjI23bti3ElgIAAE/h8p6bsLAwSUpKkqtXrzq2Xbt2TT744AOpWrVqlvoLFiyQ4cOHy5YtW+TUqVOF3FoAAODuXB5uGjVqpAPOihUrHNvU7yrYNGzY0KnupUuXZMmSJTJkyBDdc5OYmOiCFgMAAHfm8nCj9OvXTxISEhy34+Pj5cUXX8xSb+nSpRIVFSWRkZHSq1cvXc+yrFyPnZ6eLmlpaU4FAACYyy3CjQoq27Ztk19++UWXL7/8Um/LbkjKvj06OlpSU1Nl8+bNuR47Li5OgoKCHEX1EgEAAHO5RbgpV66cY5hJ9eCo30NCQpzqHDp0SHbu3Cndu3fXt319faVr16468OQmNjZWhyB7SU5OLtDnAgAAXMttvudGDU395S9/0b/Pmzcvy34VYm7evCmVKlVybFNDUn5+fjJ37lzdK5MdtV8VAADgHdyi58Y+zHT9+nW5ceOGtGnTxmmfCjWLFi2SGTNmyJ49exxl7969OuwsXrzYZe0GAADuxW16btR31xw4cMDxe0Zr166V8+fPS//+/bP00HTu3Fn36mT3XTkAAMD7uE3PjRIYGKhLZiq8tGrVKtuhJxVudu/eLfv27SukVgIAAHdms+60ltowaim4CklqcnF2QQoAAHj257db9dwAAADcL8INAAAwCuEGAAAYhXADAACMQrgBAABGIdwAAACjEG4AAIBRCDcAAMAohBsAAGAUwg0AADAK4QYAABiFcAMAAIzi6+oGAHkVPmadS07WscltXfK4AIB7Q88NAAAwSqGFm5iYGOnYsWOW7U899ZSMGDEiy/bExEQJDg7Wvw8fPlxq166d7XGPHz8uPj4+snr16gJoNQAA8DQe0XPTv39/OXjwoGzfvj3bEFS+fHl57rnnXNI2AADgXjwi3DRo0EAaNWok8fHxTtsty9Lhpm/fvuLry/QhAADgIeHG3nuzdOlSuXz5smPbpk2b5Oeff5Z+/frleL/09HRJS0tzKgAAwFweE2569OghN27ckGXLljm2JSQkyBNPPCERERE53i8uLk6CgoIcJSwsrJBaDAAAXMFjwo2aXPynP/3JMTSlemCWL1+ue3RyExsbK6mpqY6SnJxcSC0GAACu4PKJKoGBgTp0ZHbhwgXd05KRCjItW7aUI0eOyBdffKFXSXXp0iXX4/v5+ekCAAC8g8vDTWRkpKxfvz7L9m+//TbLcFOLFi2kevXqejhKhZtu3bpJyZIlC7G1AADA3RVquFE9NHv27HHa9sc//lHmzp0rL730kgwYMED3sqxbt04WL14sa9ascaprs9n05OG3335bzp8/LzNnzizM5gMAAA9QqOFGrW5q2LBhlqGmLVu2yKuvviqtWrWS69evS1RUlJ44HB0dne2XAY4bN07q1q0rTZo0KcTWAwAAT2Cz1JfFeBE1EVnN5VG9SGq+DwAAMOvz22NWSwEAAOQF4QYAABiFcAMAAIxCuAEAAEYh3AAAAKMQbgAAgFEINwAAwCiEGwAAYBTCDQAAMArhBgAAGIVwAwAAjFKoF84E7kf4mHWcQADwAMcmt3Xp49NzAwAAjOI24SYmJkY6duzotO3DDz8Uf39/mTFjhly9elXGjRsnERER4ufnJyEhIdKlSxfZv3+/y9oMAADcj9uEm8zef/996dmzp8yfP1/+8pe/SKtWrSQ+Pl7efPNN+emnn+Tjjz+WmzdvSpMmTeSrr75ydXMBAICbcMs5N1OnTtW9NElJSdKpUyeZMmWK7NixQ7777jupX7++rlOtWjVZvny5Djf9+/eXH374QWw2m6ubDgAAXMztem5Gjx4tEydOlLVr1+pgo3zwwQfSunVrR7CxK1KkiPzf//2f/Pjjj7J3795sj5eeni5paWlOBQAAmMutws0nn3yie20++ugjadmypWO7GoaqXbt2tvexb1d1shMXFydBQUGOEhYWVkCtBwAA7sCtws1DDz0k4eHhekjq0qVLTvssy7qnY8bGxkpqaqqjJCcn51NrAQCAO3KrcFO5cmXZtGmTnDx5UqKjo+XixYt6u1ohdeDAgWzvY9+u6mRHrawKDAx0KgAAwFxuFW7sE4U3b94sKSkpjoDTrVs32bBhQ5Z5Nbdv35aZM2dKnTp1sszHAQAA3sntwo2i5sWoHpyzZ89KmzZtZNiwYdK4cWNp166dLFu2TI4fPy67du2Szp07656bBQsWsFIKAAC4b7hRqlSpogPOb7/9pgPO+vXrpU+fPjJ27FipVauW7tXx8fHR33HTtGlTVzcXAAC4CZt1rzN1PZRaCq5WTanJxcy/8SxcWwoAvPfaUml38fntll/iB7jjhdgAAJ7BbYelAAAA7gXhBgAAGIVwAwAAjEK4AQAARiHcAAAAoxBuAACAUQg3AADAKIQbAABgFMINAAAwCuEGAAAYhXADAACMwrWl8hkXdyw4XFsKAJAX9NwAAACjFHq4iYmJkY4dOzp+t9lsuhQrVkxq1aolEyZMkJs3b+r9mzZt0vtKly4t165dczrOrl27HPcFAABwm56b6OhoOX36tBw+fFhGjhwp48ePl2nTpjnVKVWqlKxcudJp24IFC6Rq1aqF3FoAAODuXB5u/Pz8JDQ0VKpVqyZDhgyRVq1ayerVq53q9O3bV+Lj4x23r169KklJSXo7AACAW4WbzIoXLy7Xr1932ta7d2/ZunWrHD9+XN9evny5hIeHS6NGje54vPT0dElLS3MqAADAXG4TbizLkg0bNshnn30mTz/9tNO+8uXLy7PPPiuJiYn6turF6devX56OGxcXJ0FBQY4SFhZWIO0HAADuweXhZu3atRIQECD+/v46wHTt2lXPu8lMhRkVbv73v//Jjh07pGfPnnk6fmxsrKSmpjpKcnJyATwLAADgLlz+PTctWrSQ+fPn69VSlSpVEl/f7Jukgs+gQYOkf//+0q5dOylbtmye5/SoAgAAvIPLw03JkiX1EvA7UaGnT58+MnXqVPnkk08KpW0AAMDzuHxY6m5MnDhRfv31V2nTpo2rmwIAANxUoffc3L59O8ehpztRQ1chISH53iYAAGAOm6WWKRXyl/apYai5c+eKK6il4GrVlJpcHBgY6JI2AACAgvv8LrRhqfPnz+uVUeqSCuqL+gAAADx6WEot5VbXg1KXWOjQoUNhPSwAAPAyhRZuMl8bCgAAQLx9tRQAAMCdEG4AAIBRCDcAAMAohBsAAGAUwg0AADAK4QYAABiFcAMAAIxCuAEAAEYh3AAAAKMU+lXBgXsVPmadx5y8Y5PburoJAOC16LkBAABGKZBwk5KSIi+//LLUqlVL/P39pUKFCtKsWTOZP3++XLlyRdcJDw+XWbNmOe6T+XZGx44dE5vN5iilSpWSunXryrBhw+Tw4cMF8RQAAICHyvdhqf/97386yAQHB8ukSZOkXr164ufnJ99//73885//lMqVK0v79u3v6dgbNmzQoUYFJHW8d955R+rXry9r1qyRli1b5vdTAQAAHijfw83QoUPF19dXdu/eLSVLlnRsr1GjhnTo0EEsy7rnY5ctW1ZCQ0Mdx2vXrp0ONf3795ejR4+Kj49PvjwHAADgufJ1WOrcuXOyfv16PVyUMdhkpIaV8kuRIkX08Ncvv/wi33zzTbZ10tPTJS0tzakAAABz5Wu4OXLkiO6ZiYyMdNoeEhIiAQEBuowePTo/H1KioqIc83KyExcXJ0FBQY4SFhaWr48PAAC8cLXUzp07Zc+ePXq+jOpJyU/2Ya6ceoRiY2MlNTXVUZKTk/P18QEAgMFzbtTqKBUyDh065LRdzY9RihcvLvntwIED+mf16tWz3a8mM6sCAAC8Q7723KgJv61bt5a5c+fK5cuXpaDdvn1bZs+erYNNw4YNC/zxAACAF66Wevfdd/VS8EceeUTGjx8vDz30kJ74u2vXLjl48KA8/PDDOd735MmTevgqo2rVqjlNWFbfoaOWgv/www/6e3HUkNe6detYKQUAAAom3NSsWVO+++47/R03ar7LiRMn9LBQnTp1ZNSoUXqpeE6mT5+uS0b//ve/5YknntC/t2rVSv8sUaKEDj0tWrTQ352jhsMAAAAUm3U/XzzjgdRScLVqSk0uDgwMdHVzAABAPn9+c20pAABgFMINAAAwCuEGAAAYhXADAACMQrgBAABGIdwAAACjEG4AAIBRCDcAAMAohBsAAGAUwg0AADAK4QYAABgl3y+cCe8WPmZdgR372OS2BXZsAIA56LkBAABG8chwExMTIzabLUs5cuSIq5sGAABczGOHpaKjoyUhIcFpW7ly5VzWHgAA4B48Ntz4+flJaGioq5sBAADcjMeGm7xKT0/XxS4tLc2l7QEAAAXLI+fcKGvXrpWAgABH6dKlS7b14uLiJCgoyFHCwsIKva0AAKDweGzPTYsWLWT+/PmO2yVLlsy2XmxsrLzyyitOPTcEHAAAzOWx4UaFmVq1auVpbo4qAADAO3jssBQAAEB2CDcAAMAohBsAAGAUj5xzk5iY6OomAAAAN+WR4Qbui4tbAgBcjWEpAABgFMINAAAwCuEGAAAYhXADAACMQrgBAABGIdwAAACjEG4AAIBRCDcAAMAohBsAAGAUwg0AADAK4QYAABiFa0vBY4SPWed0m+tYAQCyQ88NAAAwikvCTUxMjNhsNl2KFi0qFSpUkNatW0t8fLzcvn3bUS88PFxmzZrluL13715p3769lC9fXvz9/fX+rl27ytmzZ13xNAAAgBtyWc9NdHS0nD59Wo4dOyaffPKJtGjRQl5++WX54x//KDdv3sxS/9dff5WWLVtKmTJl5LPPPpMDBw5IQkKCVKpUSS5fvuyS5wAAANyPy+bc+Pn5SWhoqP69cuXK0qhRI2natKkOMImJiTJgwACn+l9++aWkpqbK+++/L76+/7/Z1atX16EIAADALefcPP3001K/fn1ZsWJFln0qCKkenZUrV4plWXk+Znp6uqSlpTkVAABgLrcKN0pUVJQeqspM9eqMHTtWevToISEhIfLss8/KtGnT5MyZM7keLy4uToKCghwlLCysAFsPAABcze3CjeqVURONs/PWW29JSkqKvPfee1K3bl39U4Wh77//PsfjxcbG6uEse0lOTi7A1gMAAFdzu3CjJgqruTQ5KVu2rHTp0kWmT5+u66oJxer33Ob2BAYGOhUAAGAutwo3n3/+ue6F6dy5c57qFytWTGrWrMlqKQAA4PrVUmqirxpiunXrlp438+mnn+r5MWopeJ8+fbLUX7t2rSQlJUm3bt0kIiJCD1+tWbNGPv74Y70kHAAAwKXhRoWZihUr6mXdpUuX1qukZs+eLX379pUiRbJ2KNWpU0dKlCghI0eO1PNm1HDTAw88oJeG9+7d2yXPAQAAuB+bdTfrqg2gloKrVVNqcjHzbwAAMO/z263m3AAAANwvwg0AADAK4QYAABiFcAMAAIxCuAEAAEYh3AAAAKMQbgAAgFEINwAAwCiEGwAAYBTCDQAAMArhBgAAGIVwAwAAjOKyq4IDdyt8zDpOmkGOTW7r6iYAMBQ9NwAAwCj3HW5SUlJk+PDhUqNGDfHz85OwsDBp166dbNy40VFn+/bt8txzz0np0qXF399f6tWrJ2+//bbcunXL6VibN2+Wp59+WsqUKSMlSpSQBx54QPr27SvXr1+XmJgYsdlsOZbw8PD7fSoAAMDbw82xY8fk4Ycfls8//1ymTZsm33//vXz66afSokULGTZsmK6zcuVKad68uVSpUkW++OILOXjwoLz88svy5ptvSrdu3cSyLF3vxx9/lOjoaHnkkUdky5Yt+lhz5syRYsWK6RD0zjvvyOnTpx1FSUhIcNzetWtXfpwPAADgzXNuhg4dqntNdu7cKSVLlnRsr1u3rvTr108uX74sAwcOlPbt28s///lPx/4BAwZIhQoV9PalS5dK165dZf369RIaGipTp0511KtZs6YOPErx4sUlKCjI6fGDg4P1fQAAAO675+b333/XvTSqhyZjsMkYPFRgOXfunIwaNSrLfjV0FRERIYsXL9a3VUhRPTCq1yY/paenS1pamlMBAADmuudwc+TIET2kFBUVlWOdn376Sf+sXbt2tvvVfe11unTpIt27d9dDWBUrVpROnTrJ3Llz7zuMxMXF6R4fe1FzggAAgLnuOdzY58rkV10fHx89h+bEiRN6aKpy5coyadIkPcRln2NzL2JjYyU1NdVRkpOT7/lYAADA4HCjVjKp+TZqgnBO1LCTcuDAgWz3q+32OnYq1PTu3Vv32uzfv1+uXbsm77333r02U6/gCgwMdCoAAMBc9xxu1HLtNm3ayLx58/TE4cwuXLggzzzzjK43Y8aMLPtXr14thw8f1kNROVFLx9UQVXbHBwAAyPel4CrYqGXajRs3luXLl+uwonpjZs+eLY899pieaPyPf/xDPvroIxk0aJDs27dPLx9fsGCB/t6a559/Xl544QV9LFVvyJAhehLy0aNHda/N6NGj9U81+RgAAKDAl4KrL+779ttv5a233pKRI0fquTHlypXT330zf/58XUcFGPX9NqrOH/7wBz3MpIa0Xn31VRkxYoQe2lJUQNq2bZsMHjxYTp06JQEBAXq+zapVq/QkYwAAgLywWXczM9gAavWVWjWlJhcz/wYAAPM+v7m2FAAAMArhBgAAGIVwAwAAjEK4AQAARiHcAAAAoxBuAACAUQg3AADAKIQbAABgFMINAAAwCuEGAAAYhXADAACMQriBxwgfs04XAAByQ7gBAABGuadws2PHDvHx8ZG2bds6bT927JjYbDa97+TJk077Tp8+Lb6+vnq/qqc89dRT+nZOZfPmzbpeTEyMvj158mSnY65atUpvBwAAuK9ws2DBAhk+fLhs2bJFTp06lWV/5cqVZdGiRU7bFi5cqLdntGLFCh16MpZffvlFHnzwQXnkkUekSZMmjrr+/v4yZcoUOX/+/L00GQAAeIm7DjeXLl2SJUuWyJAhQ3TPTWJiYpY6ffv2lYSEBKdt6rbanlGZMmUkNDTUqUycOFF+++03WblypQ40dq1atdL74+Li7rbJAADAi9x1uFm6dKlERUVJZGSk9OrVS+Lj48WyLKc67du31z0s27Zt07fVT3W7Xbt2uR773Xff1T0+y5cvlypVqjjtU0NdkyZNkjlz5siJEyfy3N709HRJS0tzKgAAwFxF7mVISoUaJTo6WlJTUx1zY+yKFi3qCD6K+qluq+05UUNcI0aMkHnz5snjjz+ebZ1OnTpJgwYNZNy4cXlur+rpCQoKcpSwsLA83xcAABgebg4dOiQ7d+6U7t2769tqgnDXrl114MmsX79+smzZMklJSdE/1e2cHD9+XJ5//nkZNGiQDBgwINc2qHk3av7OgQMH8tTm2NhYHcDsJTk5OU/3AwAAXhBuVIi5efOmVKpUSQcbVebPn6+HkVRwyKhevXp6+EoFodq1a+tJwtm5evWq7pGpW7euzJo1645tePLJJ6VNmzY6tOSFn5+fBAYGOhUAAGAu37xWVKFGzYeZMWOGPPPMM077OnbsKIsXL9bDVBmp3pqhQ4fqAJQT1VPz+++/y2effabDUl6oJeFqeErN+wEAALincLN27Vo9Kbh///567kpGnTt31r06mcPNwIEDpUuXLhIcHJztMadNm6aHrNasWaPDkxrCykg9TvHixbPcT/UK9ezZU2bPnp3X5gMAAC+R52EpFV7UcuzMwcYebnbv3p1lJZLqiQkJCcmxR0atjrpx44YORRUrVsxS1JLznEyYMEFu376d1+YDAAAvYbMyr+M2nApgKqCpOULMvwEAwLzPb64tBQAAjEK4AQAARiHcAAAAoxBuAACAUQg3AADAKIQbAABgFMINAAAwCuEGAAAYhXADAACMQrgBAABGIdwAAACjEG4AAIBRsr9cN+CGwsesc3UTAGMcm9zW1U0ACgw9NwAAwCiFEm527NghPj4+0rZt1n8pXL9+XaZOnSr169eXEiVKSEhIiDRr1kwSEhLkxo0buk5MTIzYbDaZPHmy031XrVqltwMAABRquFmwYIEMHz5ctmzZIqdOnXIKNm3atNGhZdCgQbJ9+3bZuXOnDBs2TObMmSP79+931PX395cpU6bI+fPnC6PJAADAQxX4nJtLly7JkiVLZPfu3ZKSkiKJiYkyduxYvW/WrFk68Kh9DRs2dNynRo0a0qVLFx1+7Fq1aiVHjhyRuLg43dMDAADgkp6bpUuXSlRUlERGRkqvXr0kPj5eLMvS+/7zn//o0JIx2NgVLVpUSpYs6bithrUmTZqke3ROnDiR58dPT0+XtLQ0pwIAAMxVpDCGpFSoUaKjoyU1NVU2b96sbx8+fFgHn7zq1KmTNGjQQMaNG5fn+6ienqCgIEcJCwu7h2cBAAA8RYGGm0OHDuk5NN27d9e3fX19pWvXrjrwKPYenLuh5t0sXLhQDhw4kKf6sbGxOlDZS3Jy8l0/JgAA8BwFOudGhZibN29KpUqVHNtUoPHz85O5c+dKRESEHDx48K6O+eSTT+pJyCq0qFVUd6IeSxUAAOAdCizcqFCzaNEimTFjhjzzzDNO+zp27CiLFy+WHj166MnF3333XZZ5N2oZuJpQnHHejZ1aXaWGp9Q8HgAAgEIJN2vXrtXLtvv376/numTUuXNn3auzbds2WbdunbRs2VImTpwoTzzxhJQqVUqvnlLDT6qOCjGZ1atXT3r27CmzZ88uqOYDAAAPVWBzblQwUSuhMgcbe7hRAUbNyfnvf/8rf/vb3+Qf//iHNG3aVB599FEdWl566SV58MEHczz+hAkT5Pbt2wXVfAAA4KFs1r3M6vVgaim4ClxqcnFgYKCrmwMAAPL585trSwEAAKMQbgAAgFEINwAAwCiEGwAAYJQCv3Cmu7HPn+YaUwAAeA7753Ze1kF5Xbi5ePGi/sk1pgAA8MzP8ey+Zsarl4Kr78Y5deqU/rJAm80m7pxQVQBT18JiyTrng9cHfy+8f/B+6u2fL5Zl6WCjLulUpEjus2q8rudGnZAqVaqIp1AvPE968RU0zgfng9cHfy+8f3jv+2nQHXps7JhQDAAAjEK4AQAARiHcuCk/Pz8ZN26c/gnOB68P/l54/+D9lM+XvPO6CcUAAMBs9NwAAACjEG4AAIBRCDcAAMAohBsAAGAUwo2L/P7779KzZ0/9BUrBwcHSv39/uXTpUq73uXbtmgwbNkzKli0rAQEB0rlzZzlz5oxTHfWty5lLUlKSuJt58+ZJeHi4+Pv7S5MmTWTnzp251l+2bJlERUXp+vXq1ZOPP/7Yab+aF//GG29IxYoVpXjx4tKqVSs5fPiweIr8Ph8xMTFZXgfR0dFi4vnYv3+//ltQ9dXznDVr1n0f0/TzMX78+CyvD/V6MvF8/Otf/5I//OEPUrp0aV3Ue0Pm+t70/vGvPJwPT3//0NRqKRS+6Ohoq379+tZXX31lbd261apVq5bVvXv3XO8zePBgKywszNq4caO1e/duq2nTptbjjz/uVEf9L01ISLBOnz7tKFevXrXcSVJSklWsWDErPj7e2r9/vzVw4EArODjYOnPmTLb1v/zyS8vHx8eaOnWq9eOPP1qvvfaaVbRoUev777931Jk8ebIVFBRkrVq1ytq7d6/Vvn17q3r16m733AvrfPTt21e/xjK+Dn7//XfLE9zt+di5c6c1atQoa/HixVZoaKg1c+bM+z6m6edj3LhxVt26dZ1eH7/++qvlCe72fPTo0cOaN2+e9d1331kHDhywYmJi9HvFiRMnvPL9o0cezocnv3/YEW5cQH0gqRCya9cux7ZPPvnEstls1smTJ7O9z4ULF/QH2LJlyxzb1AtTHWfHjh2Ober2ypUrLXfWuHFja9iwYY7bt27dsipVqmTFxcVlW/+FF16w2rZt67StSZMm1p///Gf9++3bt/Wb+LRp05zOl5+fn36Dd3f5fT7sb04dOnSwPNHdno+MqlWrlu2H+f0c08TzocKN+seVJ7rf/5c3b960SpUqZS1cuNAr3z/udD48/f3DjmEpF9ixY4ceinrkkUcc21TXoLru1ddff53tfb755hu5ceOGrmenupGrVq2qj5eRGroKCQmRxo0bS3x8fJ4uD19Yrl+/rp9Lxuehnre6nfl52KntGesrbdq0cdT/+eefJSUlxamOuv6I6p7N6Zgmnw+7TZs2Sfny5SUyMlKGDBki586dE3d3L+fDFccsLAXZdjXsoi5AWKNGDT1Efvz4cXF3+XE+rly5ot9Ly5Qp45XvH3c6H578/pER4cYF1B+SetFk5Ovrq19cal9O9ylWrJgORRlVqFDB6T4TJkyQpUuXyn//+1897j506FCZM2eOuIvffvtNbt26pdud2/PISG3Prb79590c0+Tzoajx8UWLFsnGjRtlypQpsnnzZnn22Wf1Y5l2PlxxzMJSUG1XH9yJiYny6aefyvz58/UHvJqHoa64bPr5GD16tA519kDgbe8fdzofnvz+4dVXBS9IY8aM0S+E3Bw4cKBA2/D66687fm/YsKFcvnxZpk2bJi+99FKBPi7cS7du3Ry/qwnHDz30kNSsWVP/a6xly5YubRtcT31Q2anXhgo71apV0/8wUosbTDV58mS9wEL9HajJt95ucg7nw4T3D3pu8tHIkSN1eMmtqC7g0NBQOXv2rNN9b968qVdQqX3ZUdtVF+SFCxectqvVUjndR1FvWidOnJD09HRxB2q4zMfHJ8sqr9yeh9qeW337z7s5prsoiPORHfW6U4915MgRMe18uOKYhaWw2q56hCMiIox+fUyfPl1/mK9fv15/WNt52/vHnc6HJ79/ZES4yUflypXT82ByK2po6bHHHtMhRY2V2n3++edy+/ZtHUay8/DDD0vRokV1N6HdoUOH9Di5Ol5O9uzZo5f7ucsFONXzV88l4/NQz1vdzul5qO0Z6ytq2M1ev3r16voPOWOdtLQ0PX8pt3Nj6vnIjgq4asxcLXU17Xy44piFpbDarr6G4ujRo8a+PqZOnSoTJ07Uw3AZ5zp64/vHnc6HJ79/OHH1jGZvpZbZNWzY0Pr666+tbdu2WQ888IDTUnC1LC8yMlLvz7gUvGrVqtbnn3+ul4I/9thjutitXr3a+te//qWXBB8+fNh69913rRIlSlhvvPGG5W5LF9VKhMTERL1ybNCgQXrpYkpKit7fu3dva8yYMU5Ln319fa3p06frFWJqpUd2S8HVMT766CNr3759eqa/Jy3lzM/zcfHiRb0UWK2i+/nnn60NGzZYjRo10q+xa9euWaadj/T0dL2sVZWKFSvq565+V38DeT2mt52PkSNHWps2bdKvD/V6atWqlRUSEmKdPXvWMu18qPcGtVT6ww8/dFrarP5OvPH9Y/Idzoenv3/YEW5c5Ny5czrMBAQEWIGBgdaLL77o9MemXlQqe37xxReObeoPbejQoVbp0qV1aOnUqZN+UWZcTt6gQQN9zJIlS+qlnu+9955eGuhu5syZo4Oa+iNTSxnV9/3YNW/eXC9FzGjp0qVWRESErq++n2PdunVO+9Vyztdff92qUKGC/kNv2bKldejQIctT5Of5uHLlivXMM89Y5cqV06FHLQdW333hCR/k93I+7H8rmYuql9djetv56Nq1qw4+6niVK1fWt48cOWKZeD7U6z+786H+UeCN7x/V7nA+THj/UGzqP67uPQIAAMgvzLkBAABGIdwAAACjEG4AAIBRCDcAAMAohBsAAGAUwg0AADAK4QYAABiFcAMAAIxCuAEAAEYh3AAAAKMQbgAAgFEINwAAQEzy/wB8+wO+c7w0aAAAAABJRU5ErkJggg==" - }, - "metadata": {}, - "output_type": "display_data", - "jetTransient": { - "display_id": null - } - } - ], - "execution_count": 21 + "outputs": [], + "execution_count": null }, { "cell_type": "markdown", @@ -1184,16 +414,8 @@ "source": [ "ef.portfolio_performance(verbose=True);" ], - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Annual volatility: 15.2%\n" - ] - } - ], - "execution_count": 22 + "outputs": [], + "execution_count": null }, { "cell_type": "markdown", @@ -1228,46 +450,8 @@ "print(f\"Discrete allocation performed with ${leftover:.2f} leftover\")\n", "alloc" ], - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Discrete allocation performed with $61.86 leftover\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/thomasschmelzer/projects/PyPortfolioOpt/.venv/lib/python3.12/site-packages/cvxpy/problems/problem.py:1539: UserWarning: Solution may be inaccurate. Try another solver, adjusting the solver settings, or solve with verbose=True for more information.\n", - " warnings.warn(\n" - ] - }, - { - "data": { - "text/plain": [ - "{'ACN': 12,\n", - " 'COST': 2,\n", - " 'DIS': 1,\n", - " 'GILD': 4,\n", - " 'KO': 69,\n", - " 'LUV': 13,\n", - " 'MA': 6,\n", - " 'PFE': 74,\n", - " 'TSLA': 3,\n", - " 'UNH': 1,\n", - " 'XOM': 20,\n", - " 'F': -92,\n", - " 'JPM': -15}" - ] - }, - "execution_count": 23, - "metadata": {}, - "output_type": "execute_result" - } - ], - "execution_count": 23 + "outputs": [], + "execution_count": null }, { "cell_type": "markdown", @@ -1293,21 +477,18 @@ }, "source": [ "sector_mapper = {\n", - " \"MSFT\": \"Tech\",\n", + " \"AAPL\": \"Tech\",\n", + " \"AMD\": \"Tech\",\n", " \"AMZN\": \"Consumer Discretionary\",\n", - " \"KO\": \"Consumer Staples\",\n", + " \"BAC\": \"Financial Services\",\n", + " \"GOOG\": \"Tech\",\n", + " \"JPM\": \"Financial Services\",\n", " \"MA\": \"Financial Services\",\n", - " \"COST\": \"Consumer Staples\",\n", - " \"LUV\": \"Aerospace\",\n", - " \"XOM\": \"Energy\",\n", + " \"META\": \"Media\",\n", " \"PFE\": \"Healthcare\",\n", - " \"JPM\": \"Financial Services\",\n", - " \"UNH\": \"Healthcare\",\n", - " \"ACN\": \"Misc\",\n", - " \"DIS\": \"Media\",\n", - " \"GILD\": \"Healthcare\",\n", - " \"F\": \"Auto\",\n", - " \"TSLA\": \"Auto\"\n", + " \"SBUX\": \"Consumer Discretionary\",\n", + " \"WMT\": \"Consumer Staples\",\n", + " \"XOM\": \"Energy\"\n", "}\n", "\n", "sector_lower = {\n", @@ -1317,14 +498,13 @@ "}\n", "\n", "sector_upper = {\n", - " \"Tech\": 0.2,\n", - " \"Aerospace\":0.1,\n", + " \"Tech\": 0.3,\n", " \"Energy\": 0.1,\n", - " \"Auto\":0.15\n", - "}" + " \"Media\": 0.2\n", + "}\n" ], "outputs": [], - "execution_count": 24 + "execution_count": null }, { "cell_type": "markdown", @@ -1335,7 +515,8 @@ "We then set up the optimizer and add our constraints. We can use `ef.add_objective()` to add other constraints. For example, let's say that in addition to the above sector constraints, I specifically want:\n", "\n", "- 10% of the portfolio in AMZN\n", - "- Less than 5% of my portfolio in TSLA" + "- Less than 5% of my portfolio in META\n", + "- At least 5% of my portfolio in WMT\n" ] }, { @@ -1357,16 +538,17 @@ "amzn_index = ef.tickers.index(\"AMZN\")\n", "ef.add_constraint(lambda w: w[amzn_index] == 0.10)\n", "\n", - "tsla_index = ef.tickers.index(\"TSLA\")\n", - "ef.add_constraint(lambda w: w[tsla_index] <= 0.05)\n", + "meta_index = ef.tickers.index(\"META\")\n", + "ef.add_constraint(lambda w: w[meta_index] <= 0.05)\n", "\n", - "ef.add_constraint(lambda w: w[10] >= 0.05)\n", + "wmt_index = ef.tickers.index(\"WMT\")\n", + "ef.add_constraint(lambda w: w[wmt_index] >= 0.05)\n", "\n", "ef.max_sharpe()\n", - "weights = ef.clean_weights()" + "weights = ef.clean_weights()\n" ], "outputs": [], - "execution_count": 25 + "execution_count": null }, { "cell_type": "code", @@ -1384,33 +566,8 @@ "source": [ "weights" ], - "outputs": [ - { - "data": { - "text/plain": [ - "OrderedDict([('ACN', 0.15093),\n", - " ('AMZN', 0.1),\n", - " ('COST', 0.04217),\n", - " ('DIS', 0.0),\n", - " ('F', 0.01733),\n", - " ('GILD', 0.06261),\n", - " ('JPM', 0.01013),\n", - " ('KO', 0.05783),\n", - " ('LUV', 0.03754),\n", - " ('MA', 0.34004),\n", - " ('MSFT', 0.05),\n", - " ('PFE', 0.03928),\n", - " ('TSLA', 0.05),\n", - " ('UNH', 0.04214),\n", - " ('XOM', 0.0)])" - ] - }, - "execution_count": 26, - "metadata": {}, - "output_type": "execute_result" - } - ], - "execution_count": 26 + "outputs": [], + "execution_count": null }, { "cell_type": "code", @@ -1429,22 +586,8 @@ "source": [ "pd.Series(weights).plot.pie(figsize=(10,10));" ], - "outputs": [ - { - "data": { - "text/plain": [ - "
" - ], - "image/png": 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" - }, - "metadata": {}, - "output_type": "display_data", - "jetTransient": { - "display_id": null - } - } - ], - "execution_count": 27 + "outputs": [], + "execution_count": null }, { "cell_type": "markdown", @@ -1477,25 +620,8 @@ " total_weight += w\n", " print(f\"{sector}: {total_weight:.3f}\")" ], - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Consumer Discretionary: 0.100\n", - "Consumer Staples: 0.100\n", - "Healthcare: 0.144\n", - "Tech: 0.050\n", - "Energy: 0.000\n", - "Aerospace: 0.038\n", - "Misc: 0.151\n", - "Auto: 0.067\n", - "Media: 0.000\n", - "Financial Services: 0.350\n" - ] - } - ], - "execution_count": 28 + "outputs": [], + "execution_count": null }, { "cell_type": "markdown", @@ -1528,33 +654,8 @@ "weights = ef.clean_weights()\n", "weights" ], - "outputs": [ - { - "data": { - "text/plain": [ - "OrderedDict([('ACN', 0.02674),\n", - " ('AMZN', 0.15123),\n", - " ('COST', 0.1),\n", - " ('DIS', 0.0),\n", - " ('F', 0.0),\n", - " ('GILD', 0.06766),\n", - " ('JPM', 0.06285),\n", - " ('KO', 0.0),\n", - " ('LUV', 0.01736),\n", - " ('MA', 0.37416),\n", - " ('MSFT', 0.05),\n", - " ('PFE', 0.0),\n", - " ('TSLA', 0.15),\n", - " ('UNH', 0.0),\n", - " ('XOM', 0.0)])" - ] - }, - "execution_count": 29, - "metadata": {}, - "output_type": "execute_result" - } - ], - "execution_count": 29 + "outputs": [], + "execution_count": null }, { "cell_type": "code", @@ -1573,16 +674,8 @@ "num_small = len([k for k in weights if weights[k] <= 1e-4])\n", "print(f\"{num_small}/{len(ef.tickers)} tickers have zero weight\")" ], - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "6/15 tickers have zero weight\n" - ] - } - ], - "execution_count": 30 + "outputs": [], + "execution_count": null }, { "cell_type": "code", @@ -1600,18 +693,8 @@ "source": [ "ef.portfolio_performance(verbose=True);" ], - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Expected annual return: 26.2%\n", - "Annual volatility: 20.0%\n", - "Sharpe Ratio: 1.31\n" - ] - } - ], - "execution_count": 31 + "outputs": [], + "execution_count": null }, { "cell_type": "markdown", @@ -1646,33 +729,8 @@ "weights = ef.clean_weights()\n", "weights" ], - "outputs": [ - { - "data": { - "text/plain": [ - "OrderedDict([('ACN', 0.06969),\n", - " ('AMZN', 0.16698),\n", - " ('COST', 0.08443),\n", - " ('DIS', 0.00642),\n", - " ('F', 0.0),\n", - " ('GILD', 0.07658),\n", - " ('JPM', 0.09307),\n", - " ('KO', 0.01557),\n", - " ('LUV', 0.04691),\n", - " ('MA', 0.21322),\n", - " ('MSFT', 0.05),\n", - " ('PFE', 0.0),\n", - " ('TSLA', 0.15),\n", - " ('UNH', 0.02714),\n", - " ('XOM', 0.0)])" - ] - }, - "execution_count": 32, - "metadata": {}, - "output_type": "execute_result" - } - ], - "execution_count": 32 + "outputs": [], + "execution_count": null }, { "cell_type": "code", @@ -1691,16 +749,8 @@ "num_small = len([k for k in weights if weights[k] <= 1e-4])\n", "print(f\"{num_small}/{len(ef.tickers)} tickers have zero weight\")" ], - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "3/15 tickers have zero weight\n" - ] - } - ], - "execution_count": 33 + "outputs": [], + "execution_count": null }, { "cell_type": "markdown", @@ -1732,33 +782,8 @@ "weights = ef.clean_weights()\n", "weights" ], - "outputs": [ - { - "data": { - "text/plain": [ - "OrderedDict([('ACN', 0.05848),\n", - " ('AMZN', 0.13376),\n", - " ('COST', 0.06437),\n", - " ('DIS', 0.06074),\n", - " ('F', 0.05798),\n", - " ('GILD', 0.07793),\n", - " ('JPM', 0.08902),\n", - " ('KO', 0.03563),\n", - " ('LUV', 0.06954),\n", - " ('MA', 0.0797),\n", - " ('MSFT', 0.06526),\n", - " ('PFE', 0.03375),\n", - " ('TSLA', 0.09202),\n", - " ('UNH', 0.05435),\n", - " ('XOM', 0.02747)])" - ] - }, - "execution_count": 34, - "metadata": {}, - "output_type": "execute_result" - } - ], - "execution_count": 34 + "outputs": [], + "execution_count": null }, { "cell_type": "code", @@ -1777,22 +802,8 @@ "source": [ "pd.Series(weights).plot.pie(figsize=(10, 10));" ], - "outputs": [ - { - "data": { - "text/plain": [ - "
" - ], - "image/png": 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" - }, - "metadata": {}, - "output_type": "display_data", - "jetTransient": { - "display_id": null - } - } - ], - "execution_count": 35 + "outputs": [], + "execution_count": null }, { "cell_type": "code", @@ -1810,18 +821,8 @@ "source": [ "ef.portfolio_performance(verbose=True);" ], - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Expected annual return: 24.0%\n", - "Annual volatility: 19.5%\n", - "Sharpe Ratio: 1.23\n" - ] - } - ], - "execution_count": 36 + "outputs": [], + "execution_count": null }, { "cell_type": "markdown", @@ -1864,33 +865,8 @@ "weights = ef.clean_weights()\n", "weights" ], - "outputs": [ - { - "data": { - "text/plain": [ - "OrderedDict([('ACN', -0.02187),\n", - " ('AMZN', 0.16537),\n", - " ('COST', -0.05722),\n", - " ('DIS', -0.01548),\n", - " ('F', 0.03129),\n", - " ('GILD', 0.0305),\n", - " ('JPM', 0.06344),\n", - " ('KO', -0.13748),\n", - " ('LUV', 0.00881),\n", - " ('MA', 0.03921),\n", - " ('MSFT', -0.00471),\n", - " ('PFE', -0.08735),\n", - " ('TSLA', 0.12025),\n", - " ('UNH', -0.02798),\n", - " ('XOM', -0.10678)])" - ] - }, - "execution_count": 37, - "metadata": {}, - "output_type": "execute_result" - } - ], - "execution_count": 37 + "outputs": [], + "execution_count": null }, { "cell_type": "code", @@ -1908,18 +884,8 @@ "source": [ "ef.portfolio_performance(verbose=True);" ], - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Expected annual return: 7.0%\n", - "Annual volatility: 11.1%\n", - "Sharpe Ratio: 0.63\n" - ] - } - ], - "execution_count": 38 + "outputs": [], + "execution_count": null }, { "cell_type": "code", @@ -1938,22 +904,8 @@ "source": [ "pd.Series(weights).plot.barh(figsize=(10,6));" ], - "outputs": [ - { - "data": { - "text/plain": [ - "
" - ], - "image/png": 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" - }, - "metadata": {}, - "output_type": "display_data", - "jetTransient": { - "display_id": null - } - } - ], - "execution_count": 39 + "outputs": [], + "execution_count": null }, { "cell_type": "code", @@ -1971,16 +923,8 @@ "source": [ "print(f\"Net weight: {sum(weights.values()):.2f}\")" ], - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Net weight: -0.00\n" - ] - } - ], - "execution_count": 40 + "outputs": [], + "execution_count": null }, { "cell_type": "markdown", @@ -2013,22 +957,8 @@ "semicov = risk_models.semicovariance(prices, benchmark=0)\n", "plotting.plot_covariance(semicov);" ], - "outputs": [ - { - "data": { - "text/plain": [ - "
" - ], - "image/png": 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" - }, - "metadata": {}, - "output_type": "display_data", - "jetTransient": { - "display_id": null - } - } - ], - "execution_count": 41 + "outputs": [], + "execution_count": null }, { "cell_type": "code", @@ -2049,33 +979,8 @@ "weights = ef.clean_weights()\n", "weights\n" ], - "outputs": [ - { - "data": { - "text/plain": [ - "OrderedDict([('ACN', 0.16819),\n", - " ('AMZN', 0.0),\n", - " ('COST', 0.0607),\n", - " ('DIS', 0.0),\n", - " ('F', 0.0),\n", - " ('GILD', 0.00822),\n", - " ('JPM', 0.0),\n", - " ('KO', 0.25592),\n", - " ('LUV', 0.0),\n", - " ('MA', 0.31923),\n", - " ('MSFT', 0.0),\n", - " ('PFE', 0.07272),\n", - " ('TSLA', 0.10584),\n", - " ('UNH', 0.0),\n", - " ('XOM', 0.00918)])" - ] - }, - "execution_count": 42, - "metadata": {}, - "output_type": "execute_result" - } - ], - "execution_count": 42 + "outputs": [], + "execution_count": null }, { "cell_type": "code", @@ -2093,18 +998,8 @@ "source": [ "ef.portfolio_performance(verbose=True);" ], - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Expected annual return: 20.0%\n", - "Annual volatility: 11.9%\n", - "Sharpe Ratio: 1.68\n" - ] - } - ], - "execution_count": 43 + "outputs": [], + "execution_count": null }, { "cell_type": "markdown", @@ -2129,7 +1024,7 @@ "returns = returns.dropna()" ], "outputs": [], - "execution_count": 44 + "execution_count": null }, { "cell_type": "code", @@ -2151,18 +1046,8 @@ "es.efficient_return(0.2)\n", "es.portfolio_performance(verbose=True);\n" ], - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Expected annual return: 20.0%\n", - "Annual semi-deviation: 10.6%\n", - "Sortino Ratio: 1.89\n" - ] - } - ], - "execution_count": 45 + "outputs": [], + "execution_count": null }, { "cell_type": "markdown", @@ -2190,18 +1075,8 @@ "es.weights = ef.weights\n", "es.portfolio_performance(verbose=True);" ], - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Expected annual return: 20.0%\n", - "Annual semi-deviation: 12.9%\n", - "Sortino Ratio: 1.55\n" - ] - } - ], - "execution_count": 46 + "outputs": [], + "execution_count": null }, { "cell_type": "markdown", @@ -2243,190 +1118,8 @@ "returns = expected_returns.returns_from_prices(prices).dropna()\n", "returns.head()" ], - "outputs": [ - { - "data": { - "text/plain": [ - "Ticker ACN AMZN COST DIS F GILD \\\n", - "Date \n", - "2010-06-30 0.000000 0.005985 -0.014380 -0.024767 0.020243 -0.019731 \n", - "2010-07-01 -0.009573 0.015559 0.001276 -0.000318 0.048611 -0.004084 \n", - "2010-07-02 -0.008882 -0.016402 -0.012204 -0.003493 -0.027436 0.021383 \n", - "2010-07-06 0.012388 0.008430 -0.004241 0.010835 -0.011673 -0.002868 \n", - "2010-07-07 0.022130 0.030620 0.005370 0.044767 0.042322 0.004889 \n", - "\n", - "Ticker JPM KO LUV MA MSFT PFE \\\n", - "Date \n", - "2010-06-30 -0.012143 -0.004173 0.000000 -0.017045 -0.012870 -0.001400 \n", - "2010-07-01 -0.013129 -0.001796 -0.010801 0.016651 0.006519 -0.002104 \n", - "2010-07-02 -0.006929 0.000400 -0.021838 0.000346 0.004749 -0.006325 \n", - "2010-07-06 0.013955 0.007593 -0.011163 -0.013513 0.023636 0.010608 \n", - "2010-07-07 0.050097 0.020622 0.062089 0.037694 0.020151 0.023093 \n", - "\n", - "Ticker TSLA UNH XOM \n", - "Date \n", - "2010-06-30 -0.002511 -0.008034 -0.003840 \n", - "2010-07-01 -0.078473 -0.019366 -0.008060 \n", - "2010-07-02 -0.125683 0.016158 -0.000707 \n", - "2010-07-06 -0.160937 0.020848 0.015733 \n", - "2010-07-07 -0.019243 0.010730 0.016882 " - ], - "text/html": [ - "
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Date
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2010-07-01-0.0095730.0155590.001276-0.0003180.048611-0.004084-0.013129-0.001796-0.0108010.0166510.006519-0.002104-0.078473-0.019366-0.008060
2010-07-02-0.008882-0.016402-0.012204-0.003493-0.0274360.021383-0.0069290.000400-0.0218380.0003460.004749-0.006325-0.1256830.016158-0.000707
2010-07-060.0123880.008430-0.0042410.010835-0.011673-0.0028680.0139550.007593-0.011163-0.0135130.0236360.010608-0.1609370.0208480.015733
2010-07-070.0221300.0306200.0053700.0447670.0423220.0048890.0500970.0206220.0620890.0376940.0201510.023093-0.0192430.0107300.016882
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" - ] - }, - "execution_count": 47, - "metadata": {}, - "output_type": "execute_result" - } - ], - "execution_count": 47 + "outputs": [], + "execution_count": null }, { "cell_type": "code", @@ -2447,18 +1140,8 @@ "weight_arr = ef.weights\n", "ef.portfolio_performance(verbose=True);" ], - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Expected annual return: 24.2%\n", - "Annual volatility: 17.7%\n", - "Sharpe Ratio: 1.36\n" - ] - } - ], - "execution_count": 48 + "outputs": [], + "execution_count": null }, { "cell_type": "code", @@ -2479,22 +1162,8 @@ "portfolio_rets = (returns * weight_arr).sum(axis=1)\n", "portfolio_rets.hist(bins=50);" ], - "outputs": [ - { - "data": { - "text/plain": [ - "
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" - }, - "metadata": {}, - "output_type": "display_data", - "jetTransient": { - "display_id": null - } - } - ], - "execution_count": 49 + "outputs": [], + "execution_count": null }, { "cell_type": "code", @@ -2516,17 +1185,8 @@ "print(\"VaR: {:.2f}%\".format(100*var))\n", "print(\"CVaR: {:.2f}%\".format(100*cvar))" ], - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "VaR: -2.10%\n", - "CVaR: -3.12%\n" - ] - } - ], - "execution_count": 50 + "outputs": [], + "execution_count": null }, { "cell_type": "markdown", @@ -2559,17 +1219,8 @@ "ec.min_cvar()\n", "ec.portfolio_performance(verbose=True);" ], - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Expected annual return: 15.1%\n", - "Conditional Value at Risk: 2.07%\n" - ] - } - ], - "execution_count": 51 + "outputs": [], + "execution_count": null }, { "cell_type": "markdown", @@ -2600,17 +1251,8 @@ "ec.efficient_risk(target_cvar=0.025)\n", "ec.portfolio_performance(verbose=True);" ], - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Expected annual return: 23.4%\n", - "Conditional Value at Risk: 2.50%\n" - ] - } - ], - "execution_count": 52 + "outputs": [], + "execution_count": null }, { "cell_type": "markdown", @@ -2652,18 +1294,8 @@ "cla.max_sharpe()\n", "cla.portfolio_performance(verbose=True);" ], - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Expected annual return: 24.2%\n", - "Annual volatility: 17.7%\n", - "Sharpe Ratio: 1.36\n" - ] - } - ], - "execution_count": 53 + "outputs": [], + "execution_count": null }, { "cell_type": "code", @@ -2682,22 +1314,8 @@ "source": [ "ax = plotting.plot_efficient_frontier(cla, showfig=False)" ], - "outputs": [ - { - "data": { - "text/plain": [ - "
" - ], - "image/png": 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" - ] - }, - "metadata": {}, - "output_type": "display_data", - "jetTransient": { - "display_id": null - } - } - ], - "execution_count": 55 + "outputs": [], + "execution_count": null }, { "cell_type": "markdown", @@ -7219,7 +1354,7 @@ "id": "2xPJH-s69nzT" }, "source": [ - "In this example, we will plot the efficient frontier corresponding to portfolios with a constraint on exposure to MSFT, AMZN, and TSLA (e.g maybe we want to avoid big tech)." + "In this example, we will plot the efficient frontier corresponding to portfolios with a constraint on exposure to AAPL, AMZN, and META (e.g maybe we want to avoid big tech).\n" ] }, { @@ -7238,11 +1373,11 @@ "S = risk_models.CovarianceShrinkage(prices).ledoit_wolf()\n", "\n", "ef = EfficientFrontier(mu, S,)\n", - "big_tech_indices = [t in {\"MSFT\", \"AMZN\", \"TSLA\"} for t in tickers]\n", - "ef.add_constraint(lambda w: cp.sum(w[big_tech_indices]) <= 0.3)" + "big_tech_indices = [t in {\"AAPL\", \"AMZN\", \"META\"} for t in tickers]\n", + "ef.add_constraint(lambda w: cp.sum(w[big_tech_indices]) <= 0.3)\n" ], "outputs": [], - "execution_count": 56 + "execution_count": null }, { "cell_type": "code", @@ -7255,35 +1390,8 @@ "source": [ "mu" ], - "outputs": [ - { - "data": { - "text/plain": [ - "Ticker\n", - "ACN 0.202011\n", - "AMZN 0.352581\n", - "COST 0.175672\n", - "DIS 0.206533\n", - "F 0.241105\n", - "GILD 0.240912\n", - "JPM 0.263090\n", - "KO 0.118175\n", - "LUV 0.224131\n", - "MA 0.244448\n", - "MSFT 0.215577\n", - "PFE 0.152560\n", - "TSLA 0.309169\n", - "UNH 0.193748\n", - "XOM 0.139997\n", - "Name: mkt, dtype: float64" - ] - }, - "execution_count": 57, - "metadata": {}, - "output_type": "execute_result" - } - ], - "execution_count": 57 + "outputs": [], + "execution_count": null }, { "cell_type": "markdown", @@ -7313,22 +1421,8 @@ " ef_param_range=np.linspace(0.2, 0.5, 50), \n", " showfig=False);" ], - "outputs": [ - { - "data": { - "text/plain": [ - "
" - ], - "image/png": 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" - }, - "metadata": {}, - "output_type": "display_data", - "jetTransient": { - "display_id": null - } - } - ], - "execution_count": 58 + "outputs": [], + "execution_count": null }, { "cell_type": "markdown", @@ -7368,28 +1462,8 @@ "print(\"Sample portfolio returns:\", rets)\n", "print(\"Sample portfolio volatilities:\", stds)" ], - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Sample portfolio returns: [0.20296863 0.22650091 0.21093727 ... 0.24826296 0.22017591 0.19811965]\n", - "Sample portfolio volatilities: 0 0.176258\n", - "1 0.212849\n", - "2 0.186047\n", - "3 0.182062\n", - "4 0.202531\n", - " ... \n", - "9995 0.199046\n", - "9996 0.204033\n", - "9997 0.220805\n", - "9998 0.190212\n", - "9999 0.187209\n", - "Length: 10000, dtype: float64\n" - ] - } - ], - "execution_count": 59 + "outputs": [], + "execution_count": null }, { "cell_type": "markdown", @@ -7424,7 +1498,7 @@ "# sharpes.append(ret / std)" ], "outputs": [], - "execution_count": 60 + "execution_count": null }, { "cell_type": "code", @@ -7461,22 +1535,8 @@ "plt.tight_layout()\n", "plt.show()\n" ], - "outputs": [ - { - "data": { - "text/plain": [ - "
" - ], - "image/png": 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" - }, - "metadata": {}, - "output_type": "display_data", - "jetTransient": { - "display_id": null - } - } - ], - "execution_count": 61 + "outputs": [], + "execution_count": null }, { "cell_type": "code", diff --git a/cookbook/3-Advanced-Mean-Variance-Optimisation.ipynb b/cookbook/3-Advanced-Mean-Variance-Optimisation.ipynb index d15ccf97..2f285f96 100644 --- a/cookbook/3-Advanced-Mean-Variance-Optimisation.ipynb +++ b/cookbook/3-Advanced-Mean-Variance-Optimisation.ipynb @@ -8,7 +8,7 @@ "source": [ "# Advanced MVO - custom objectives\n", "\n", - "PyPortfolioOpt has implemented some of the most common objective functions (e.g `min_volatility`, `max_sharpe`, `max_quadratic_utility`, `efficient_risk`, `efficient_return`). However, sometimes yoy may have an idea for a different objective function.\n", + "PyPortfolioOpt has implemented some of the most common objective functions (e.g `min_volatility`, `max_sharpe`, `max_quadratic_utility`, `efficient_risk`, `efficient_return`). However, sometimes you may have an idea for a different objective function.\n", "\n", "In this cookbook recipe, we cover:\n", "\n", @@ -16,9 +16,9 @@ "- Custom convex objectives\n", "- Custom nonconvex objectives\n", "\n", - "## Acquiring data\n", + "## Loading bundled example data\n", "\n", - "As discussed in the previous notebook, assets are an exogenous input (i.e you must come up with a list of tickers). We will use `yfinance` to download data for thesee tickers\n", + "As discussed in the previous notebook, assets are an exogenous input (i.e you must come up with a list of tickers). We will use bundled example price history for these tickers so the notebook runs offline.\n", "\n", "[![Open In Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/pyportfolio/pyportfolioopt/blob/master/cookbook/3-Advanced-Mean-Variance-Optimisation.ipynb)\n", " \n", @@ -26,7 +26,7 @@ " \n", "[![Gradient](https://assets.paperspace.io/img/gradient-badge.svg)](https://console.paperspace.com/github/pyportfolio/pyportfolioopt/blob/master/cookbook/3-Advanced-Mean-Variance-Optimisation.ipynb)\n", " \n", - "[![Open In SageMaker Studio Lab](https://studiolab.sagemaker.aws/studiolab.svg)](https://studiolab.sagemaker.aws/import/github/pyportfolio/pyportfolioopt/blob/master/cookbook/3-Advanced-Mean-Variance-Optimisation.ipynb)" + "[![Open In SageMaker Studio Lab](https://studiolab.sagemaker.aws/studiolab.svg)](https://studiolab.sagemaker.aws/import/github/pyportfolio/pyportfolioopt/blob/master/cookbook/3-Advanced-Mean-Variance-Optimisation.ipynb)\n" ] }, { @@ -43,68 +43,14 @@ } }, "source": [ - "!pip install pandas numpy matplotlib yfinance PyPortfolioOpt\n", + "!pip install pandas numpy matplotlib PyPortfolioOpt\n", "import os\n", "if not os.path.isdir('data'):\n", " os.system('git clone https://github.com/pyportfolio/pyportfolioopt.git')\n", - " os.chdir('PyPortfolioOpt/cookbook')" + " os.chdir('PyPortfolioOpt/cookbook')\n" ], - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Requirement already satisfied: pandas in /Users/thomasschmelzer/projects/PyPortfolioOpt/.venv/lib/python3.12/site-packages (2.3.3)\r\n", - "Requirement already satisfied: numpy in /Users/thomasschmelzer/projects/PyPortfolioOpt/.venv/lib/python3.12/site-packages (2.3.4)\r\n", - "Requirement already satisfied: matplotlib in /Users/thomasschmelzer/projects/PyPortfolioOpt/.venv/lib/python3.12/site-packages (3.10.7)\r\n", - "Requirement already satisfied: yfinance in /Users/thomasschmelzer/projects/PyPortfolioOpt/.venv/lib/python3.12/site-packages (0.2.66)\r\n", - "Requirement already satisfied: PyPortfolioOpt in /Users/thomasschmelzer/projects/PyPortfolioOpt/.venv/lib/python3.12/site-packages (1.5.6)\r\n", - 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"Requirement already satisfied: setuptools in /Users/thomasschmelzer/projects/PyPortfolioOpt/.venv/lib/python3.12/site-packages (from osqp>=1.0.0->cvxpy>=1.1.19->PyPortfolioOpt) (80.9.0)\r\n", - "Requirement already satisfied: MarkupSafe>=2.0 in /Users/thomasschmelzer/projects/PyPortfolioOpt/.venv/lib/python3.12/site-packages (from jinja2->osqp>=1.0.0->cvxpy>=1.1.19->PyPortfolioOpt) (3.0.3)\r\n", - "\r\n", - "\u001B[1m[\u001B[0m\u001B[34;49mnotice\u001B[0m\u001B[1;39;49m]\u001B[0m\u001B[39;49m A new release of pip is available: \u001B[0m\u001B[31;49m24.3.1\u001B[0m\u001B[39;49m -> \u001B[0m\u001B[32;49m25.3\u001B[0m\r\n", - "\u001B[1m[\u001B[0m\u001B[34;49mnotice\u001B[0m\u001B[1;39;49m]\u001B[0m\u001B[39;49m To update, run: \u001B[0m\u001B[32;49mpip install --upgrade pip\u001B[0m\r\n" - ] - } - ], - "execution_count": 1 + "outputs": [], + "execution_count": null }, { "cell_type": "code", @@ -116,12 +62,13 @@ } }, "source": [ - "import yfinance as yf\n", "import pandas as pd\n", - "import numpy as np" + "import numpy as np\n", + "\n", + "from pypfopt.data import load_example_prices\n" ], "outputs": [], - "execution_count": 2 + "execution_count": null }, { "cell_type": "code", @@ -133,12 +80,12 @@ } }, "source": [ - "tickers = [\"BLK\", \"BAC\", \"AAPL\", \"TM\", \"WMT\",\n", - " \"JD\", \"INTU\", \"MA\", \"UL\", \"CVS\",\n", - " \"DIS\", \"AMD\", \"NVDA\", \"PBI\", \"TGT\"]" + "tickers = [\"AAPL\", \"AMD\", \"AMZN\", \"BAC\", \"BABA\",\n", + " \"GE\", \"GM\", \"GOOG\", \"JPM\", \"MA\",\n", + " \"META\", \"PFE\", \"SBUX\", \"WMT\", \"XOM\"]\n" ], "outputs": [], - "execution_count": 3 + "execution_count": null }, { "cell_type": "code", @@ -154,20 +101,10 @@ } }, "source": [ - "ohlc = yf.download(tickers, period=\"max\")" + "prices = load_example_prices()[tickers].dropna()\n" ], - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/_3/k_9k5d5n5zz57w7qfll9rzs40000gn/T/ipykernel_60284/3917095853.py:1: FutureWarning: YF.download() has changed argument auto_adjust default to True\n", - " ohlc = yf.download(tickers, period=\"max\")\n", - "[*********************100%***********************] 15 of 15 completed\n" - 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "plotting.plot_covariance(S, plot_correlation=True);" ] @@ -487,7 +219,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": null, "metadata": { "id": "70ib0FwA_YO5" }, @@ -499,7 +231,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -507,32 +239,7 @@ "id": "h4DCRaLe_YO6", "outputId": "bab1cd04-1fb4-4d87-d784-ec3006753ba3" }, - "outputs": [ - { - "data": { - "text/plain": [ - "OrderedDict([('AAPL', 0.04712),\n", - " ('AMD', 0.0),\n", - " ('BAC', 0.03863),\n", - " ('BLK', 0.06667),\n", - " ('CVS', 0.06667),\n", - " ('DIS', 0.06667),\n", - " ('INTU', 0.06667),\n", - " ('JD', 0.19043),\n", - " ('MA', 0.06667),\n", - " ('NVDA', 0.05715),\n", - " ('PBI', 0.06667),\n", - " ('TGT', 0.06667),\n", - " ('TM', 0.06667),\n", - " ('UL', 0.06667),\n", - " ('WMT', 0.06667)])" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "from pypfopt import EfficientFrontier, objective_functions\n", "\n", @@ -551,12 +258,12 @@ "id": "iTTvy6xH_YO6" }, "source": [ - "Notice that many of the weights are 0.06667, i.e your original equal weight. In fact, the only change has been an allocation of AMD's weight to JD. If we lower the cost `k`, the allocation will change more:" + "Notice that many of the weights are 0.06667, i.e your original equal weight. In fact, the only change has been an allocation of AMD's weight to BABA. If we lower the cost `k`, the allocation will change more:\n" ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -564,32 +271,7 @@ "id": "pTepg1-Q_YO6", "outputId": "335af198-0d41-482c-a923-617240ee5ffd" }, - "outputs": [ - { - "data": { - "text/plain": [ - "OrderedDict([('AAPL', 0.0),\n", - " ('AMD', 0.0),\n", - " ('BAC', 0.0),\n", - " ('BLK', 0.06667),\n", - " ('CVS', 0.0538),\n", - " ('DIS', 0.0),\n", - " ('INTU', 0.00851),\n", - " ('JD', 0.298),\n", - " ('MA', 0.27222),\n", - " ('NVDA', 0.0),\n", - " ('PBI', 0.0),\n", - " ('TGT', 0.0),\n", - " ('TM', 0.06667),\n", - " ('UL', 0.14875),\n", - " ('WMT', 0.08539)])" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "ef = EfficientFrontier(mu, S)\n", "ef.add_objective(objective_functions.transaction_cost, w_prev=initial_weights, k=0.001)\n", @@ -604,14 +286,14 @@ "id": "YM-gPp1S_YO7" }, "source": [ - "The optimizer seems to really like JD. The reason for this is that it is highly anticorrelated to other assets (notice the dark column in the covariance plot). Hence, historically, it adds a lot of diversification. But it is dangerous to place too much emphasis on what happened in the past, so we may want to limit the asset weights. \n", + "The optimizer seems to really like BABA. The reason for this is that it is highly anticorrelated to other assets (notice the dark column in the covariance plot). Hence, historically, it adds a lot of diversification. But it is dangerous to place too much emphasis on what happened in the past, so we may want to limit the asset weights. \n", "\n", "In addition, we notice that 4 stocks have now been allocated zero weight, which may be undesirable. Both of these problems can be fixed by adding an [L2 regularisation objective](https://pyportfolioopt.readthedocs.io/en/latest/EfficientFrontier.html#more-on-l2-regularisation). " ] }, { "cell_type": "code", - "execution_count": 13, + "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -619,32 +301,7 @@ "id": "Mh22zJrI_YO7", "outputId": "f6b4707d-c5cb-4c81-d676-7f1cc9c412e5" }, - "outputs": [ - { - "data": { - "text/plain": [ - "OrderedDict([('AAPL', 0.0623),\n", - " ('AMD', 0.05356),\n", - " ('BAC', 0.06263),\n", - " ('BLK', 0.07041),\n", - " ('CVS', 0.06715),\n", - " ('DIS', 0.06528),\n", - " ('INTU', 0.06667),\n", - " ('JD', 0.07589),\n", - " ('MA', 0.07336),\n", - " ('NVDA', 0.06317),\n", - " ('PBI', 0.0644),\n", - " ('TGT', 0.06588),\n", - " ('TM', 0.06934),\n", - " ('UL', 0.07131),\n", - " ('WMT', 0.06866)])" - ] - }, - "execution_count": 13, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "ef = EfficientFrontier(mu, S)\n", "ef.add_objective(objective_functions.transaction_cost, w_prev=initial_weights, k=0.001)\n", @@ -665,7 +322,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -673,32 +330,7 @@ "id": "VdeeHz8J_YO7", "outputId": "735a86d3-078e-4a28-cb2e-19da01de4542" }, - "outputs": [ - { - "data": { - "text/plain": [ - "OrderedDict([('AAPL', 0.02309),\n", - " ('AMD', 0.0),\n", - " ('BAC', 0.01226),\n", - " ('BLK', 0.099),\n", - " ('CVS', 0.06667),\n", - " ('DIS', 0.04427),\n", - " ('INTU', 0.05892),\n", - " ('JD', 0.16678),\n", - " ('MA', 0.14089),\n", - " ('NVDA', 0.02294),\n", - " ('PBI', 0.03273),\n", - " ('TGT', 0.04921),\n", - " ('TM', 0.08801),\n", - " ('UL', 0.11292),\n", - " ('WMT', 0.08232)])" - ] - }, - "execution_count": 14, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "ef = EfficientFrontier(mu, S)\n", "ef.add_objective(objective_functions.transaction_cost, w_prev=initial_weights, k=0.001)\n", @@ -710,7 +342,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -718,17 +350,7 @@ "id": "EFN7ul8-_YO8", "outputId": "575da3e2-c1ed-4821-dbec-8475d1f0c3b7" }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Expected annual return: 17.0%\n", - "Annual volatility: 10.1%\n", - "Sharpe Ratio: 1.69\n" - ] - } - ], + "outputs": [], "source": [ "ef.portfolio_performance(verbose=True);" ] @@ -739,12 +361,12 @@ "id": "ra5fBWi8_YO8" }, "source": [ - "This portfolio is now reasonably balanced, but also puts significantly more weight on JD. " + "This portfolio is now reasonably balanced, but also puts significantly more weight on BABA. " ] }, { "cell_type": "code", - "execution_count": 16, + "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -753,18 +375,7 @@ "id": "3Klc-L_8_YO8", "outputId": "9bc2e6e6-9411-4be4-a851-918a648b5306" }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "pd.Series(weights).plot.pie(figsize=(10,10));" ] @@ -797,7 +408,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": null, "metadata": { "id": "5WjglE6d_YO9" }, @@ -823,7 +434,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -831,32 +442,7 @@ "id": "SMsaFWHB_YO9", "outputId": "5a25c217-5d8b-4185-89de-a7379a5ef5fe" }, - "outputs": [ - { - "data": { - "text/plain": [ - "OrderedDict([('AAPL', 0.03946),\n", - " ('AMD', 0.02568),\n", - " ('BAC', 0.0386),\n", - " ('BLK', 0.07889),\n", - " ('CVS', 0.05889),\n", - " ('DIS', 0.04687),\n", - " ('INTU', 0.05174),\n", - " ('JD', 0.17291),\n", - " ('MA', 0.12155),\n", - " ('NVDA', 0.03982),\n", - " ('PBI', 0.04325),\n", - " ('TGT', 0.04885),\n", - " ('TM', 0.07227),\n", - " ('UL', 0.09158),\n", - " ('WMT', 0.06963)])" - ] - }, - "execution_count": 18, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "ef = EfficientFrontier(mu, S, weight_bounds=(0.01, 0.2))\n", "ef.convex_objective(logarithmic_barrier_objective, cov_matrix=S, k=0.001)\n", @@ -866,7 +452,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -874,17 +460,7 @@ "id": "TGkjjU3z_YO-", "outputId": "d8e09c26-503d-4ac6-e57b-f81af6456544" }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Expected annual return: 18.0%\n", - "Annual volatility: 10.7%\n", - "Sharpe Ratio: 1.68\n" - ] - } - ], + "outputs": [], "source": [ "ef.portfolio_performance(verbose=True);" ] @@ -895,12 +471,12 @@ "id": "mOAd1ncH_YO-" }, "source": [ - "This is compatible with all the constraints discussed in the previous recipe. Let's say that we want to limit JD's weight to 15%." + "This is compatible with all the constraints discussed in the previous recipe. Let's say that we want to limit BABA's weight to 15%." ] }, { "cell_type": "code", - "execution_count": 20, + "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -908,39 +484,14 @@ "id": "J3rM2vkz_YO-", "outputId": "b00c2c60-47c5-419d-97d1-52957b32a56c" }, - "outputs": [ - { - "data": { - "text/plain": [ - "OrderedDict([('AAPL', 0.03989),\n", - " ('AMD', 0.02581),\n", - " ('BAC', 0.03888),\n", - " ('BLK', 0.08151),\n", - " ('CVS', 0.06007),\n", - " ('DIS', 0.04754),\n", - " ('INTU', 0.05276),\n", - " ('JD', 0.15),\n", - " ('MA', 0.12901),\n", - " ('NVDA', 0.04043),\n", - " ('PBI', 0.04397),\n", - " ('TGT', 0.04958),\n", - " ('TM', 0.07429),\n", - " ('UL', 0.09494),\n", - " ('WMT', 0.0713)])" - ] - }, - "execution_count": 20, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "ef = EfficientFrontier(mu, S, weight_bounds=(0.01, 0.2))\n", - "jd_index = ef.tickers.index(\"JD\") # get the index of JD\n", - "ef.add_constraint(lambda w: w[jd_index] <= 0.15)\n", + "baba_index = ef.tickers.index(\"BABA\") # get the index of BABA\n", + "ef.add_constraint(lambda w: w[baba_index] <= 0.15)\n", "ef.convex_objective(logarithmic_barrier_objective, cov_matrix=S, k=0.001)\n", "weights = ef.clean_weights()\n", - "weights" + "weights\n" ] }, { @@ -960,7 +511,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": null, "metadata": { "id": "WYIshUU__YO-" }, @@ -973,7 +524,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -981,32 +532,7 @@ "id": "_fgoI8gj_YO-", "outputId": "a3f3c341-503e-4b7a-ef96-8bdf462c6d8a" }, - "outputs": [ - { - "data": { - "text/plain": [ - "OrderedDict([('AAPL', 0.04227),\n", - " ('AMD', 0.03306),\n", - " ('BAC', 0.04204),\n", - " ('BLK', 0.08771),\n", - " ('CVS', 0.0706),\n", - " ('DIS', 0.0552),\n", - " ('INTU', 0.06376),\n", - " ('JD', 0.10104),\n", - " ('MA', 0.09691),\n", - " ('NVDA', 0.04684),\n", - " ('PBI', 0.05062),\n", - " ('TGT', 0.0585),\n", - " ('TM', 0.08268),\n", - " ('UL', 0.09063),\n", - " ('WMT', 0.07813)])" - ] - }, - "execution_count": 22, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "ef = EfficientFrontier(mu, S, weight_bounds=(0.01, 0.12))\n", "ef.nonconvex_objective(deviation_risk_parity, ef.cov_matrix)\n", @@ -1020,7 +546,7 @@ "id": "1JJVTSOb_YO_" }, "source": [ - "However, let's say we now want to enforce that JD has a weight of 10%. In the convex case, this would be as simple as:\n", + "However, let's say we now want to enforce that BABA has a weight of 10%. In the convex case, this would be as simple as:\n", "\n", "```python\n", "ef.add_objective(lambda w: w[jd_index] == 0.10)\n", @@ -1045,7 +571,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -1053,32 +579,7 @@ "id": "84sElIfw_YO_", "outputId": "f4e9713d-2215-4093-9900-17a2035c5906" }, - "outputs": [ - { - "data": { - "text/plain": [ - "OrderedDict([('AAPL', 0.05695),\n", - " ('AMD', 0.0304),\n", - " ('BAC', 0.05892),\n", - " ('BLK', 0.07322),\n", - " ('CVS', 0.06945),\n", - " ('DIS', 0.0644),\n", - " ('INTU', 0.06689),\n", - " ('JD', 0.1),\n", - " ('MA', 0.07491),\n", - " ('NVDA', 0.05933),\n", - " ('PBI', 0.06263),\n", - " ('TGT', 0.06564),\n", - " ('TM', 0.07206),\n", - " ('UL', 0.07388),\n", - " ('WMT', 0.07132)])" - ] - }, - "execution_count": 23, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "ef = EfficientFrontier(mu, S, weight_bounds=(0.01, 0.12))\n", "\n", @@ -1087,12 +588,12 @@ " objective_args=S,\n", " weights_sum_to_one=True,\n", " constraints=[\n", - " {\"type\": \"eq\", \"fun\": lambda w: w[jd_index] - 0.10}, \n", + " {\"type\": \"eq\", \"fun\": lambda w: w[baba_index] - 0.10}, \n", " ],\n", ")\n", "\n", "weights = ef.clean_weights()\n", - "weights" + "weights\n" ] }, { @@ -1108,7 +609,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -1116,32 +617,7 @@ "id": "vfzCiKQT_YO_", "outputId": "a6413d3f-22d7-4406-9904-c480be20bd53" }, - "outputs": [ - { - "data": { - "text/plain": [ - "OrderedDict([('AAPL', 0.04699),\n", - " ('AMD', 0.03341),\n", - " ('BAC', 0.04672),\n", - " ('BLK', 0.07872),\n", - " ('CVS', 0.06334),\n", - " ('DIS', 0.05386),\n", - " ('INTU', 0.05806),\n", - " ('JD', 0.13128),\n", - " ('MA', 0.10312),\n", - " ('NVDA', 0.04802),\n", - " ('PBI', 0.05095),\n", - " ('TGT', 0.05554),\n", - " ('TM', 0.07354),\n", - " ('UL', 0.08566),\n", - " ('WMT', 0.07079)])" - ] - }, - "execution_count": 24, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "# Another example of deviation risk parity\n", "def deviation_risk_parity(w, cov_matrix):\n", @@ -1157,7 +633,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -1165,32 +641,7 @@ "id": "P2jqcyK7_YO_", "outputId": "59979140-7fd0-41cc-fb52-8b12586b2066" }, - "outputs": [ - { - "data": { - "text/plain": [ - "OrderedDict([('AAPL', 0.1),\n", - " ('AMD', 0.0339),\n", - " ('BAC', 0.04866),\n", - " ('BLK', 0.07516),\n", - " ('CVS', 0.06205),\n", - " ('DIS', 0.05424),\n", - " ('INTU', 0.05646),\n", - " ('JD', 0.11054),\n", - " ('MA', 0.09092),\n", - " ('NVDA', 0.049),\n", - " ('PBI', 0.05258),\n", - " ('TGT', 0.05526),\n", - " ('TM', 0.06836),\n", - " ('UL', 0.0771),\n", - " ('WMT', 0.06577)])" - ] - }, - "execution_count": 25, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "# Deviation risk parity with weight bound on the first asset\n", "ef = EfficientFrontier(mu, S)\n", @@ -1203,7 +654,7 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -1211,32 +662,7 @@ "id": "voar0fB2_YPA", "outputId": "2721f2ad-7b9f-4a8a-967a-48921b88e853" }, - "outputs": [ - { - "data": { - "text/plain": [ - "OrderedDict([('AAPL', 0.09422),\n", - " ('AMD', 0.1627),\n", - " ('BAC', 0.04346),\n", - " ('BLK', -0.04221),\n", - " ('CVS', -0.1778),\n", - " ('DIS', 0.20785),\n", - " ('INTU', 0.1059),\n", - " ('JD', 0.31068),\n", - " ('MA', 0.37613),\n", - " ('NVDA', 0.41065),\n", - " ('PBI', -0.02656),\n", - " ('TGT', 0.01202),\n", - " ('TM', -0.47356),\n", - " ('UL', -0.83251),\n", - " ('WMT', -0.17096)])" - ] - }, - "execution_count": 26, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "# Market-neutral efficient risk.\n", "# Please use ef.efficient_risk() for anything serious.\n", @@ -1265,7 +691,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -1273,32 +699,7 @@ "id": "2kgcF-V9_YPH", "outputId": "862dc21d-2005-438b-eb0d-3ebe2d7e0222" }, - "outputs": [ - { - "data": { - "text/plain": [ - "OrderedDict([('AAPL', 0.0),\n", - " ('AMD', 0.05561),\n", - " ('BAC', 0.0),\n", - " ('BLK', 0.0),\n", - " ('CVS', 0.0),\n", - " ('DIS', 0.0),\n", - " ('INTU', 0.0),\n", - " ('JD', 0.0),\n", - " ('MA', 0.0),\n", - " ('NVDA', 0.94439),\n", - " ('PBI', 0.0),\n", - " ('TGT', 0.0),\n", - " ('TM', 0.0),\n", - " ('UL', 0.0),\n", - " ('WMT', 0.0)])" - ] - }, - "execution_count": 27, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "# Utility objective - you could actually use ef.max_quadratic_utility\n", "ef = EfficientFrontier(mu, S)\n", @@ -1318,7 +719,7 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -1326,25 +727,14 @@ "id": "LnNkM5DJ_YPH", "outputId": "874299e2-37a8-4783-9f8e-7608ff293837" }, - "outputs": [ - { - "data": { - "text/plain": [ - "np.float64(1.0)" - ] - }, - "execution_count": 28, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "ef.weights.sum()" ] }, { "cell_type": "code", - "execution_count": 29, + "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -1352,32 +742,7 @@ "id": "FSFhcUz7_YPH", "outputId": "0a086117-7335-4558-aaee-c7c70c295f90" }, - "outputs": [ - { - "data": { - "text/plain": [ - "OrderedDict([('AAPL', 0.06667),\n", - " ('AMD', 0.06667),\n", - " ('BAC', 0.06667),\n", - " ('BLK', 0.06667),\n", - " ('CVS', 0.06667),\n", - " ('DIS', 0.06667),\n", - " ('INTU', 0.06667),\n", - " ('JD', 0.06667),\n", - " ('MA', 0.06667),\n", - " ('NVDA', 0.06667),\n", - " ('PBI', 0.06667),\n", - " ('TGT', 0.06667),\n", - " ('TM', 0.06667),\n", - " ('UL', 0.06667),\n", - " ('WMT', 0.06667)])" - ] - }, - "execution_count": 29, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "# Kelly objective with weight bounds on zeroth asset\n", "def kelly_objective(w, e_returns, cov_matrix, k=3):\n", diff --git a/cookbook/4-Black-Litterman-Allocation.ipynb b/cookbook/4-Black-Litterman-Allocation.ipynb index 46c1a0b8..8d04f18a 100644 --- a/cookbook/4-Black-Litterman-Allocation.ipynb +++ b/cookbook/4-Black-Litterman-Allocation.ipynb @@ -14,15 +14,14 @@ "\n", "In this recipe, we will cover:\n", "\n", - "- Downloading data for the Black-Litterman method\n", + "- Loading bundled example data for the Black-Litterman method\n", "- Constructing the prior return vector based on market equilibrium\n", "- Two ways of constructing the uncertainty matrix\n", "- Combining Black-Litterman with mean-variance optimization\n", "\n", - "## Downloading data\n", - "\n", - "In addition to price data, constructing a market prior requires market-caps.\n", + "## Loading bundled example data\n", "\n", + "In addition to price data, constructing a market prior requires market-caps. We will use static example inputs that ship with the package so this notebook runs without internet access.\n", "\n", "[![Open In Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/pyportfolio/pyportfolioopt/blob/master/cookbook/4-Black-Litterman-Allocation.ipynb)\n", " \n", @@ -30,7 +29,7 @@ " \n", "[![Gradient](https://assets.paperspace.io/img/gradient-badge.svg)](https://console.paperspace.com/github/pyportfolio/pyportfolioopt/blob/master/cookbook/4-Black-Litterman-Allocation.ipynb)\n", " \n", - "[![Open In SageMaker Studio Lab](https://studiolab.sagemaker.aws/studiolab.svg)](https://studiolab.sagemaker.aws/import/github/pyportfolio/pyportfolioopt/blob/master/cookbook/4-Black-Litterman-Allocation.ipynb)" + "[![Open In SageMaker Studio Lab](https://studiolab.sagemaker.aws/studiolab.svg)](https://studiolab.sagemaker.aws/import/github/pyportfolio/pyportfolioopt/blob/master/cookbook/4-Black-Litterman-Allocation.ipynb)\n" ] }, { @@ -47,68 +46,14 @@ } }, "source": [ - "!pip install pandas numpy matplotlib yfinance PyPortfolioOpt\n", + "!pip install pandas numpy matplotlib PyPortfolioOpt\n", "import os\n", "if not os.path.isdir('data'):\n", " os.system('git clone https://github.com/pyportfolio/pyportfolioopt.git')\n", - " os.chdir('PyPortfolioOpt/cookbook')" - ], - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Requirement already satisfied: pandas in /Users/thomasschmelzer/projects/PyPortfolioOpt/.venv/lib/python3.12/site-packages (2.3.3)\r\n", - "Requirement already satisfied: numpy in /Users/thomasschmelzer/projects/PyPortfolioOpt/.venv/lib/python3.12/site-packages (2.3.4)\r\n", - "Requirement already satisfied: matplotlib in /Users/thomasschmelzer/projects/PyPortfolioOpt/.venv/lib/python3.12/site-packages (3.10.7)\r\n", - "Requirement already satisfied: yfinance in /Users/thomasschmelzer/projects/PyPortfolioOpt/.venv/lib/python3.12/site-packages (0.2.66)\r\n", - "Requirement already satisfied: PyPortfolioOpt in /Users/thomasschmelzer/projects/PyPortfolioOpt/.venv/lib/python3.12/site-packages (1.5.6)\r\n", - 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"Requirement already satisfied: setuptools in /Users/thomasschmelzer/projects/PyPortfolioOpt/.venv/lib/python3.12/site-packages (from osqp>=1.0.0->cvxpy>=1.1.19->PyPortfolioOpt) (80.9.0)\r\n", - "Requirement already satisfied: MarkupSafe>=2.0 in /Users/thomasschmelzer/projects/PyPortfolioOpt/.venv/lib/python3.12/site-packages (from jinja2->osqp>=1.0.0->cvxpy>=1.1.19->PyPortfolioOpt) (3.0.3)\r\n", - "\r\n", - "\u001B[1m[\u001B[0m\u001B[34;49mnotice\u001B[0m\u001B[1;39;49m]\u001B[0m\u001B[39;49m A new release of pip is available: \u001B[0m\u001B[31;49m24.3.1\u001B[0m\u001B[39;49m -> \u001B[0m\u001B[32;49m25.3\u001B[0m\r\n", - "\u001B[1m[\u001B[0m\u001B[34;49mnotice\u001B[0m\u001B[1;39;49m]\u001B[0m\u001B[39;49m To update, run: \u001B[0m\u001B[32;49mpip install --upgrade pip\u001B[0m\r\n" - ] - } + " os.chdir('PyPortfolioOpt/cookbook')\n" ], - "execution_count": 6 + "outputs": [], + "execution_count": null }, { "cell_type": "code", @@ -123,10 +68,15 @@ "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", - "import yfinance as yf" + "\n", + "from pypfopt.data import (\n", + " load_example_market_caps,\n", + " load_example_prices,\n", + " load_spy_prices,\n", + ")\n" ], "outputs": [], - "execution_count": 7 + "execution_count": null }, { "cell_type": "code", @@ -138,10 +88,11 @@ } }, "source": [ - "tickers = [\"MSFT\", \"AMZN\", \"NAT\", \"BAC\", \"DPZ\", \"DIS\", \"KO\", \"MCD\", \"COST\", \"SBUX\"]" + "tickers = [\"AAPL\", \"AMZN\", \"BAC\", \"GOOG\", \"JPM\",\n", + " \"MA\", \"META\", \"PFE\", \"SBUX\", \"WMT\"]\n" ], "outputs": [], - "execution_count": 8 + "execution_count": null }, { "metadata": { @@ -152,160 +103,11 @@ }, "cell_type": "code", "source": [ - "ohlc = yf.download(tickers, period=\"max\")\n", - "prices = ohlc[\"Close\"]\n", - "prices.tail()" + "prices = load_example_prices()[tickers].dropna()\n", + "prices.tail()\n" ], - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/_3/k_9k5d5n5zz57w7qfll9rzs40000gn/T/ipykernel_60334/2708075403.py:1: FutureWarning: YF.download() has changed argument auto_adjust default to True\n", - 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TickerAMZNBACCOSTDISDPZKOMCDMSFTNATSBUX
Date
2025-11-05250.19999752.450001935.030029111.360001400.41000468.510002305.670013507.1600043.5782.879997
2025-11-06243.03999353.290001923.580017110.489998401.45999169.059998298.410004497.1000063.5982.220001
2025-11-07244.41000453.200001922.739990110.739998410.17999370.550003299.660004496.8200073.5685.570000
2025-11-10248.39999453.419998915.559998112.239998407.58999670.519997299.100006506.0000003.6584.599998
2025-11-11249.10000653.630001913.859985114.849998409.23001171.610001306.829987508.6799933.6386.419998
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" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - } - ], - "execution_count": 9 + "outputs": [], + "execution_count": null }, { "metadata": { @@ -316,88 +118,11 @@ }, "cell_type": "code", "source": [ - "market_prices = yf.download(\"SPY\", period=\"max\")[\"Close\"]\n", - "market_prices.head()" + "market_prices = load_spy_prices()[\"SPY\"].dropna()\n", + "market_prices.head()\n" ], - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/_3/k_9k5d5n5zz57w7qfll9rzs40000gn/T/ipykernel_60334/3562423400.py:1: FutureWarning: YF.download() has changed argument auto_adjust default to True\n", - " market_prices = yf.download(\"SPY\", period=\"max\")[\"Close\"]\n", - "[*********************100%***********************] 1 of 1 completed\n" - ] - }, - { - "data": { - "text/plain": [ - "Ticker SPY\n", - "Date \n", - "1993-01-29 24.313040\n", - "1993-02-01 24.485947\n", - "1993-02-02 24.537836\n", - "1993-02-03 24.797226\n", - "1993-02-04 24.900978" - ], - "text/html": [ - "
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TickerSPY
Date
1993-01-2924.313040
1993-02-0124.485947
1993-02-0224.537836
1993-02-0324.797226
1993-02-0424.900978
\n", - "
" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - } - ], - "execution_count": 10 + "outputs": [], + "execution_count": null }, { "metadata": { @@ -408,34 +133,11 @@ }, "cell_type": "code", "source": [ - "mcaps = {}\n", - "for t in tickers:\n", - " stock = yf.Ticker(t)\n", - " mcaps[t] = stock.info[\"marketCap\"]\n", - "mcaps" + "mcaps = load_example_market_caps()\n", + "mcaps\n" ], - "outputs": [ - { - "data": { - "text/plain": [ - "{'MSFT': 3780701847552,\n", - " 'AMZN': 2662932938752,\n", - " 'NAT': 768654912,\n", - " 'BAC': 391632846848,\n", - " 'DPZ': 13826333696,\n", - " 'DIS': 206492696576,\n", - " 'KO': 308038205440,\n", - " 'MCD': 218510311424,\n", - " 'COST': 405003698176,\n", - " 'SBUX': 98250891264}" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - } - ], - "execution_count": 11 + "outputs": [], + "execution_count": null }, { "cell_type": "markdown", @@ -464,19 +166,8 @@ "import pypfopt\n", "pypfopt.__version__" ], - "outputs": [ - { - "data": { - "text/plain": [ - "'1.5.6'" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - } - ], - "execution_count": 12 + "outputs": [], + "execution_count": null }, { "cell_type": "code", @@ -499,19 +190,8 @@ "delta = black_litterman.market_implied_risk_aversion(market_prices)\n", "delta" ], - "outputs": [ - { - "data": { - "text/plain": [ - "np.float64(3.426860188963759)" - ] - }, - "execution_count": 13, - "metadata": {}, - "output_type": "execute_result" - } - ], - "execution_count": 13 + "outputs": [], + "execution_count": null }, { "cell_type": "code", @@ -530,22 +210,8 @@ "source": [ "plotting.plot_covariance(S, plot_correlation=True);" ], - "outputs": [ - { - "data": { - "text/plain": [ - "
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" - }, - "metadata": {}, - "output_type": "display_data", - "jetTransient": { - "display_id": null - } - } - ], - "execution_count": 14 + "outputs": [], + "execution_count": null }, { "cell_type": "code", @@ -564,30 +230,8 @@ "market_prior = black_litterman.market_implied_prior_returns(mcaps, delta, S)\n", "market_prior" ], - "outputs": [ - { - "data": { - "text/plain": [ - "Ticker\n", - "AMZN 0.217688\n", - "BAC 0.104540\n", - "COST 0.077448\n", - "DIS 0.092606\n", - "DPZ 0.039139\n", - "KO 0.051818\n", - "MCD 0.056672\n", - "MSFT 0.160434\n", - "NAT 0.041953\n", - "SBUX 0.078963\n", - "dtype: float64" - ] - }, - "execution_count": 15, - "metadata": {}, - "output_type": "execute_result" - } - ], - "execution_count": 15 + "outputs": [], + "execution_count": null }, { "cell_type": "code", @@ -606,22 +250,8 @@ "source": [ "market_prior.plot.barh(figsize=(10,5));" ], - "outputs": [ - { - "data": { - "text/plain": [ - "
" - ], - "image/png": 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" - }, - "metadata": {}, - "output_type": "display_data", - "jetTransient": { - "display_id": null - } - } - ], - "execution_count": 16 + "outputs": [], + "execution_count": null }, { "cell_type": "markdown", @@ -648,22 +278,22 @@ "source": [ "# You don't have to provide views on all the assets\n", "viewdict = {\n", + " \"AAPL\": 0.10,\n", " \"AMZN\": 0.10,\n", " \"BAC\": 0.30,\n", - " \"COST\": 0.05,\n", - " \"DIS\": 0.05,\n", - " \"DPZ\": 0.20,\n", - " \"KO\": -0.05, # I think Coca-Cola will go down 5%\n", - " \"MCD\": 0.15,\n", - " \"MSFT\": 0.10,\n", - " \"NAT\": 0.50, # but low confidence, which will be reflected later\n", - " \"SBUX\": 0.10\n", + " \"GOOG\": 0.05,\n", + " \"JPM\": 0.05,\n", + " \"MA\": 0.20,\n", + " \"META\": 0.15,\n", + " \"PFE\": -0.05, # I think Pfizer will go down 5%\n", + " \"SBUX\": 0.10,\n", + " \"WMT\": 0.08 # but low confidence, which will be reflected later\n", "}\n", "\n", - "bl = BlackLittermanModel(S, pi=market_prior, absolute_views=viewdict)" + "bl = BlackLittermanModel(S, pi=market_prior, absolute_views=viewdict)\n" ], "outputs": [], - "execution_count": 17 + "execution_count": null }, { "cell_type": "markdown", @@ -700,16 +330,16 @@ " 0.4,\n", " 0.2,\n", " 0.5,\n", - " 0.7, # confident in dominos\n", - " 0.7, # confident KO will do poorly\n", - " 0.7, \n", + " 0.7,\n", + " 0.7,\n", + " 0.7,\n", " 0.5,\n", - " 0.1,\n", - " 0.4\n", - "]" + " 0.4,\n", + " 0.1\n", + "]\n" ], "outputs": [], - "execution_count": 18 + "execution_count": null }, { "cell_type": "code", @@ -724,7 +354,7 @@ "bl = BlackLittermanModel(S, pi=market_prior, absolute_views=viewdict, omega=\"idzorek\", view_confidences=confidences)" ], "outputs": [], - "execution_count": 19 + "execution_count": null }, { "cell_type": "code", @@ -752,22 +382,8 @@ "ax.set_yticklabels(bl.tickers)\n", "plt.show()" ], - "outputs": [ - { - "data": { - "text/plain": [ - "
" - ], - "image/png": 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" - }, - "metadata": {}, - "output_type": "display_data", - "jetTransient": { - "display_id": null - } - } - ], - "execution_count": 20 + "outputs": [], + "execution_count": null }, { "cell_type": "code", @@ -785,20 +401,8 @@ "source": [ "np.diag(bl.omega)" ], - "outputs": [ - { - "data": { - "text/plain": [ - "array([0.0045619 , 0.00873095, 0.01198575, 0.00493244, 0.00088379,\n", - " 0.00112096, 0.0016701 , 0.0034398 , 0.04152296, 0.00552791])" - ] - }, - "execution_count": 21, - "metadata": {}, - "output_type": "execute_result" - } - ], - "execution_count": 21 + "outputs": [], + "execution_count": null }, { "cell_type": "markdown", @@ -806,9 +410,9 @@ "id": "lUGduOmsAbNn" }, "source": [ - "Note how NAT, which we gave the lowest confidence, also has the highest uncertainty.\n", + "Note how WMT, which we gave the lowest confidence, also has the highest uncertainty.\n", "\n", - "Instead of inputting confidences, we can calculate the uncertainty matrix directly by specifying 1 standard deviation confidence intervals, i.e bounds which we think will contain the true return 68% of the time. This may be easier than coming up with somewhat arbitrary percentage confidences" + "Instead of inputting confidences, we can calculate the uncertainty matrix directly by specifying 1 standard deviation confidence intervals, i.e bounds which we think will contain the true return 68% of the time. This may be easier than coming up with somewhat arbitrary percentage confidences\n" ] }, { @@ -835,7 +439,7 @@ "]" ], "outputs": [], - "execution_count": 22 + "execution_count": null }, { "cell_type": "code", @@ -859,16 +463,8 @@ "print(variances)\n", "omega = np.diag(variances)" ], - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[0.015625, 0.022500000000000006, 0.015625, 0.0056250000000000015, 0.0025000000000000005, 0.0025000000000000005, 0.0025000000000000005, 0.00039999999999999986, 0.16000000000000003, 0.0225]\n" - ] - } - ], - "execution_count": 23 + "outputs": [], + "execution_count": null }, { "cell_type": "markdown", @@ -896,7 +492,7 @@ " absolute_views=viewdict, omega=omega)" ], "outputs": [], - "execution_count": 24 + "execution_count": null }, { "cell_type": "code", @@ -916,30 +512,8 @@ "ret_bl = bl.bl_returns()\n", "ret_bl" ], - "outputs": [ - { - "data": { - "text/plain": [ - "Ticker\n", - "AMZN 0.183882\n", - "BAC 0.135815\n", - "COST 0.067281\n", - "DIS 0.074143\n", - "DPZ 0.107602\n", - "KO 0.007914\n", - "MCD 0.102838\n", - "MSFT 0.107538\n", - "NAT 0.063471\n", - "SBUX 0.086751\n", - "dtype: float64" - ] - }, - "execution_count": 25, - "metadata": {}, - "output_type": "execute_result" - } - ], - "execution_count": 25 + "outputs": [], + "execution_count": null }, { "cell_type": "markdown", @@ -969,118 +543,8 @@ " index=[\"Prior\", \"Posterior\", \"Views\"]).T\n", "rets_df" ], - "outputs": [ - { - "data": { - "text/plain": [ - " Prior Posterior Views\n", - "AMZN 0.217688 0.183882 0.10\n", - "BAC 0.104540 0.135815 0.30\n", - "COST 0.077448 0.067281 0.05\n", - "DIS 0.092606 0.074143 0.05\n", - "DPZ 0.039139 0.107602 0.20\n", - "KO 0.051818 0.007914 -0.05\n", - "MCD 0.056672 0.102838 0.15\n", - "MSFT 0.160434 0.107538 0.10\n", - "NAT 0.041953 0.063471 0.50\n", - "SBUX 0.078963 0.086751 0.10" - ], - "text/html": [ - "
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PriorPosteriorViews
AMZN0.2176880.1838820.10
BAC0.1045400.1358150.30
COST0.0774480.0672810.05
DIS0.0926060.0741430.05
DPZ0.0391390.1076020.20
KO0.0518180.007914-0.05
MCD0.0566720.1028380.15
MSFT0.1604340.1075380.10
NAT0.0419530.0634710.50
SBUX0.0789630.0867510.10
\n", - "
" - ] - }, - "execution_count": 26, - "metadata": {}, - "output_type": "execute_result" - } - ], - "execution_count": 26 + "outputs": [], + "execution_count": null }, { "cell_type": "code", @@ -1099,22 +563,8 @@ "source": [ "rets_df.plot.bar(figsize=(12,8));" ], - "outputs": [ - { - "data": { - "text/plain": [ - "
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" - }, - "metadata": {}, - "output_type": "display_data", - "jetTransient": { - "display_id": null - } - } - ], - "execution_count": 27 + "outputs": [], + "execution_count": null }, { "cell_type": "markdown", @@ -1145,22 +595,8 @@ "S_bl = bl.bl_cov()\n", "plotting.plot_covariance(S_bl);" ], - "outputs": [ - { - "data": { - "text/plain": [ - "
" - ], - "image/png": 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" - }, - "metadata": {}, - "output_type": "display_data", - "jetTransient": { - "display_id": null - } - } - ], - "execution_count": 28 + "outputs": [], + "execution_count": null }, { "cell_type": "markdown", @@ -1186,7 +622,7 @@ "from pypfopt import EfficientFrontier, objective_functions" ], "outputs": [], - "execution_count": 29 + "execution_count": null }, { "cell_type": "code", @@ -1208,36 +644,8 @@ "weights = ef.clean_weights()\n", "weights" ], - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/thomasschmelzer/projects/PyPortfolioOpt/pypfopt/efficient_frontier/efficient_frontier.py:259: UserWarning: max_sharpe transforms the optimization problem so additional objectives may not work as expected.\n", - " warnings.warn(\n" - ] - }, - { - "data": { - "text/plain": [ - "OrderedDict([('AMZN', 0.20061),\n", - " ('BAC', 0.14324),\n", - " ('COST', 0.0697),\n", - " ('DIS', 0.07017),\n", - " ('DPZ', 0.12808),\n", - " ('KO', 0.0),\n", - " ('MCD', 0.11522),\n", - " ('MSFT', 0.1165),\n", - " ('NAT', 0.06627),\n", - " ('SBUX', 0.09021)])" - ] - }, - "execution_count": 30, - "metadata": {}, - "output_type": "execute_result" - } - ], - "execution_count": 30 + "outputs": [], + "execution_count": null }, { "cell_type": "code", @@ -1256,22 +664,8 @@ "source": [ "pd.Series(weights).plot.pie(figsize=(10,10));" ], - "outputs": [ - { - "data": { - "text/plain": [ - "
" - ], - "image/png": 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" - }, - "metadata": {}, - "output_type": "display_data", - "jetTransient": { - "display_id": null - } - } - ], - "execution_count": 31 + "outputs": [], + "execution_count": null }, { "cell_type": "code", @@ -1294,34 +688,8 @@ "print(f\"Leftover: ${leftover:.2f}\")\n", "alloc" ], - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Leftover: $16.30\n" - ] - }, - { - "data": { - "text/plain": [ - "{'AMZN': 16,\n", - " 'BAC': 54,\n", - " 'COST': 2,\n", - " 'DIS': 13,\n", - " 'DPZ': 6,\n", - " 'MCD': 7,\n", - " 'MSFT': 4,\n", - " 'NAT': 366,\n", - " 'SBUX': 21}" - ] - }, - "execution_count": 32, - "metadata": {}, - "output_type": "execute_result" - } - ], - "execution_count": 32 + "outputs": [], + "execution_count": null } ], "metadata": { diff --git a/cookbook/5-Hierarchical-Risk-Parity.ipynb b/cookbook/5-Hierarchical-Risk-Parity.ipynb index 694701bd..7bd7d97c 100644 --- a/cookbook/5-Hierarchical-Risk-Parity.ipynb +++ b/cookbook/5-Hierarchical-Risk-Parity.ipynb @@ -35,9 +35,9 @@ "id": "saving-safety" }, "source": [ - "## Downloading data\n", + "## Loading bundled example data\n", "\n", - "HRP only requires historical returns" + "HRP only requires historical returns, so we can use the bundled price dataset directly.\n" ] }, { @@ -55,68 +55,14 @@ } }, "source": [ - "!pip install pandas numpy matplotlib yfinance PyPortfolioOpt\n", + "!pip install pandas numpy matplotlib PyPortfolioOpt\n", "import os\n", "if not os.path.isdir('data'):\n", " os.system('git clone https://github.com/pyportfolio/pyportfolioopt.git')\n", - " os.chdir('PyPortfolioOpt/cookbook')" + " os.chdir('PyPortfolioOpt/cookbook')\n" ], - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Requirement already satisfied: pandas in /Users/thomasschmelzer/projects/PyPortfolioOpt/.venv/lib/python3.12/site-packages (2.3.3)\r\n", - "Requirement already satisfied: numpy in /Users/thomasschmelzer/projects/PyPortfolioOpt/.venv/lib/python3.12/site-packages (2.3.4)\r\n", - "Requirement already satisfied: matplotlib in /Users/thomasschmelzer/projects/PyPortfolioOpt/.venv/lib/python3.12/site-packages (3.10.7)\r\n", - "Requirement already satisfied: yfinance in /Users/thomasschmelzer/projects/PyPortfolioOpt/.venv/lib/python3.12/site-packages (0.2.66)\r\n", - "Requirement already satisfied: PyPortfolioOpt in /Users/thomasschmelzer/projects/PyPortfolioOpt/.venv/lib/python3.12/site-packages (1.5.6)\r\n", - "Requirement already satisfied: python-dateutil>=2.8.2 in /Users/thomasschmelzer/projects/PyPortfolioOpt/.venv/lib/python3.12/site-packages (from pandas) (2.9.0.post0)\r\n", - "Requirement already satisfied: pytz>=2020.1 in /Users/thomasschmelzer/projects/PyPortfolioOpt/.venv/lib/python3.12/site-packages (from pandas) (2025.2)\r\n", - "Requirement already satisfied: tzdata>=2022.7 in /Users/thomasschmelzer/projects/PyPortfolioOpt/.venv/lib/python3.12/site-packages (from pandas) (2025.2)\r\n", - "Requirement already satisfied: contourpy>=1.0.1 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"execution_count": null }, { "metadata": { @@ -128,25 +74,15 @@ "cell_type": "code", "source": [ "import pandas as pd\n", - "import yfinance as yf\n", "import pypfopt\n", "\n", - "pypfopt.__version__" + "from pypfopt.data import load_example_prices\n", + "\n", + "pypfopt.__version__\n" ], "id": "c442e17aa1dc9965", - "outputs": [ - { - "data": { - "text/plain": [ - "'1.5.6'" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - } - ], - "execution_count": 2 + "outputs": [], + "execution_count": null }, { "metadata": { @@ -157,208 +93,16 @@ }, "cell_type": "code", "source": [ - "tickers = [\"BLK\", \"BAC\", \"AAPL\", \"TM\", \"WMT\",\n", - " \"JD\", \"INTU\", \"MA\", \"UL\", \"CVS\",\n", - " \"DIS\", \"AMD\", \"NVDA\", \"PBI\", \"TGT\"]\n", + "tickers = [\"AAPL\", \"AMD\", \"AMZN\", \"BAC\", \"BABA\",\n", + " \"GE\", \"GM\", \"GOOG\", \"JPM\", \"MA\",\n", + " \"META\", \"PFE\", \"SBUX\", \"WMT\", \"XOM\"]\n", "\n", - "ohlc = yf.download(tickers, period=\"max\")\n", - "prices = ohlc[\"Close\"]\n", - "prices.tail()" + "prices = load_example_prices()[tickers].dropna()\n", + "prices.tail()\n" ], "id": "575bf519e8a54e4a", - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/_3/k_9k5d5n5zz57w7qfll9rzs40000gn/T/ipykernel_60451/1837682728.py:5: FutureWarning: YF.download() has changed argument auto_adjust default to True\n", - " ohlc = yf.download(tickers, period=\"max\")\n", - "[*********************100%***********************] 15 of 15 completed\n" - ] - }, - { - "data": { - "text/plain": [ - "Ticker AAPL AMD BAC BLK CVS \\\n", - "Date \n", - "2025-11-05 269.878387 256.329987 52.450001 1073.569946 78.550003 \n", - "2025-11-06 269.508728 237.699997 53.290001 1069.439941 78.660004 \n", - "2025-11-07 268.209991 233.539993 53.200001 1082.199951 78.989998 \n", - "2025-11-10 269.429993 243.979996 53.419998 1082.630005 77.540001 \n", - "2025-11-11 275.250000 237.520004 53.630001 1085.760010 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" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - } - ], - "execution_count": 4 + "outputs": [], + "execution_count": null }, { "cell_type": "markdown", @@ -586,7 +148,7 @@ "from pypfopt import HRPOpt" ], "outputs": [], - "execution_count": 5 + "execution_count": null }, { "cell_type": "code", @@ -608,33 +170,8 @@ "weights = hrp.clean_weights()\n", "weights" ], - "outputs": [ - { - "data": { - "text/plain": [ - "OrderedDict([('AAPL', 0.03963),\n", - " ('AMD', 0.02907),\n", - " ('BAC', 0.0417),\n", - " ('BLK', 0.04516),\n", - " ('CVS', 0.11381),\n", - " ('DIS', 0.05955),\n", - " ('INTU', 0.03699),\n", - " ('JD', 0.0467),\n", - " ('MA', 0.04823),\n", - " ('NVDA', 0.02293),\n", - " ('PBI', 0.07645),\n", - " ('TGT', 0.07642),\n", - " ('TM', 0.09703),\n", - " ('UL', 0.17211),\n", - " ('WMT', 0.09423)])" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - } - ], - "execution_count": 6 + "outputs": [], + "execution_count": null }, { "cell_type": "code", @@ -654,22 +191,8 @@ "source": [ "pd.Series(weights).plot.pie(figsize=(10, 10));" ], - "outputs": [ - { - "data": { - "text/plain": [ - "
" - ], - "image/png": 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" - }, - "metadata": {}, - "output_type": "display_data", - "jetTransient": { - "display_id": null - } - } - ], - "execution_count": 7 + "outputs": [], + "execution_count": null }, { "cell_type": "code", @@ -688,18 +211,8 @@ "source": [ "hrp.portfolio_performance(verbose=True);" ], - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Expected annual return: 18.9%\n", - "Annual volatility: 18.9%\n", - "Sharpe Ratio: 1.00\n" - ] - } - ], - "execution_count": 8 + "outputs": [], + "execution_count": null }, { "cell_type": "markdown", @@ -733,22 +246,8 @@ "\n", "plotting.plot_dendrogram(hrp); " ], - "outputs": [ - { - "data": { - "text/plain": [ - "
" - ], - "image/png": 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" - }, - "metadata": {}, - "output_type": "display_data", - "jetTransient": { - "display_id": null - } - } - ], - "execution_count": 9 + "outputs": [], + "execution_count": null }, { "cell_type": "markdown", @@ -757,7 +256,7 @@ "id": "brave-shock" }, "source": [ - "If you look at this dendogram closely, you can see that most of the clusters make a lot of sense. For example, AMD and NVDA (both semiconductor manufacturers) are grouped." + "If you look at this dendogram closely, you can see that most of the clusters make a lot of sense. For example, AMD and META are grouped together, as are BAC and JPM.\n" ] }, { diff --git a/pypfopt/data/__init__.py b/pypfopt/data/__init__.py new file mode 100644 index 00000000..1e3b61ac --- /dev/null +++ b/pypfopt/data/__init__.py @@ -0,0 +1,31 @@ +import json +from importlib.resources import files + +import pandas as pd + +__all__ = [ + "load_example_market_caps", + "load_example_prices", + "load_spy_prices", +] + + +def _load_csv(filename: str) -> pd.DataFrame: + resource = files(__package__).joinpath(filename) + with resource.open("rb") as handle: + return pd.read_csv(handle, parse_dates=["date"], index_col="date") + + +def load_example_prices() -> pd.DataFrame: + return _load_csv("stock_prices.csv") + + +def load_spy_prices() -> pd.DataFrame: + return _load_csv("spy_prices.csv") + + +def load_example_market_caps() -> dict[str, int]: + resource = files(__package__).joinpath("example_market_caps.json") + with resource.open("r", encoding="utf-8") as handle: + market_caps = json.load(handle) + return {ticker: int(value) for ticker, value in market_caps.items()} diff --git a/pypfopt/data/example_market_caps.json b/pypfopt/data/example_market_caps.json new file mode 100644 index 00000000..f0008ae2 --- /dev/null +++ b/pypfopt/data/example_market_caps.json @@ -0,0 +1,12 @@ +{ + "AAPL": 3000000000000, + "AMZN": 2000000000000, + "BAC": 300000000000, + "GOOG": 2200000000000, + "JPM": 700000000000, + "MA": 500000000000, + "META": 1500000000000, + "PFE": 150000000000, + "SBUX": 110000000000, + "WMT": 750000000000 +} diff --git a/pypfopt/data/spy_prices.csv b/pypfopt/data/spy_prices.csv new file mode 100644 index 00000000..084b7dae --- /dev/null +++ b/pypfopt/data/spy_prices.csv @@ -0,0 +1,8018 @@ +date,SPY +1993-01-29,24.608617782592773 +1993-02-01,24.783647537231445 +1993-02-02,24.83613967895508 +1993-02-03,25.098690032958984 +1993-02-04,25.20372009277344 +1993-02-05,25.18621063232422 +1993-02-08,25.18621063232422 +1993-02-09,25.01117706298828 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+2024-11-29,237.3300018310547,137.17999267578125,207.88999938964844,87.37000274658203,47.5099983215332,90.0,182.16000366210935,55.59000015258789,170.49000549316406,249.72000122070312,532.9400024414062,574.3200073242188,26.209999084472656,35.7400016784668,102.45999908447266,23.15999984741211,9.710000038146973,92.5,117.95999908447266 diff --git a/pyproject.toml b/pyproject.toml index b2c99ee1..dea70e88 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -62,7 +62,6 @@ all_extras = [ # dev - the developer dependency set, for contributors and CI dev = [ "pytest>=9.0.2", - "yfinance>=1.2.0", ] # notebook tests @@ -93,6 +92,9 @@ requires = [ [tool.setuptools.packages.find] exclude = ["example", "example.*", "tests", "tests.*"] +[tool.setuptools.package-data] +"pypfopt.data" = ["*.csv", "*.json"] + [tool.ruff] line-length = 88 # Keep Ruff aligned with project target version diff --git a/tests/test_data.py b/tests/test_data.py new file mode 100644 index 00000000..ce6a2e90 --- /dev/null +++ b/tests/test_data.py @@ -0,0 +1,39 @@ +from pypfopt.data import ( + load_example_market_caps, + load_example_prices, + load_spy_prices, +) + + +def test_load_example_prices(): + prices = load_example_prices() + + assert prices.index.name == "date" + assert str(prices.index.dtype).startswith("datetime64") + assert {"AAPL", "AMD", "AMZN", "META", "WMT", "XOM"}.issubset(prices.columns) + + +def test_load_spy_prices(): + prices = load_spy_prices() + + assert prices.index.name == "date" + assert str(prices.index.dtype).startswith("datetime64") + assert list(prices.columns) == ["SPY"] + + +def test_load_example_market_caps(): + market_caps = load_example_market_caps() + + assert set(market_caps) == { + "AAPL", + "AMZN", + "BAC", + "GOOG", + "JPM", + "MA", + "META", + "PFE", + "SBUX", + "WMT", + } + assert all(value > 0 for value in market_caps.values()) diff --git a/tests/test_imports.py b/tests/test_imports.py index 39ce7079..bf5e1bba 100644 --- a/tests/test_imports.py +++ b/tests/test_imports.py @@ -5,6 +5,7 @@ def test_import_modules(): from pypfopt import ( black_litterman, cla, + data, discrete_allocation, exceptions, expected_returns, @@ -22,6 +23,11 @@ def test_explicit_import(): market_implied_risk_aversion, ) from pypfopt.cla import CLA + from pypfopt.data import ( + load_example_market_caps, + load_example_prices, + load_spy_prices, + ) from pypfopt.discrete_allocation import DiscreteAllocation, get_latest_prices from pypfopt.efficient_frontier import ( EfficientCVaR, From 77f5515e1b993544904ee288b8dcece7b7a8c4ff Mon Sep 17 00:00:00 2001 From: whenpoem <826450156@qq.com> Date: Mon, 27 Apr 2026 17:20:39 +0800 Subject: [PATCH 2/2] Align bundled cookbook data with yfinance outputs --- cookbook/2-Mean-Variance-Optimisation.ipynb | 52 +- ...-Advanced-Mean-Variance-Optimisation.ipynb | 24 +- cookbook/4-Black-Litterman-Allocation.ipynb | 41 +- cookbook/5-Hierarchical-Risk-Parity.ipynb | 12 +- pypfopt/data/__init__.py | 7 +- pypfopt/data/example_market_caps.json | 20 +- pypfopt/data/spy_prices.csv | 16271 ++++++++-------- pypfopt/data/yfinance_stock_prices.csv | 16075 +++++++++++++++ tests/test_data.py | 79 +- tests/test_imports.py | 1 + 10 files changed, 24479 insertions(+), 8103 deletions(-) create mode 100644 pypfopt/data/yfinance_stock_prices.csv diff --git a/cookbook/2-Mean-Variance-Optimisation.ipynb b/cookbook/2-Mean-Variance-Optimisation.ipynb index 9a51f297..fda72759 100644 --- a/cookbook/2-Mean-Variance-Optimisation.ipynb +++ b/cookbook/2-Mean-Variance-Optimisation.ipynb @@ -79,7 +79,7 @@ "import pandas as pd\n", "import numpy as np\n", "\n", - "from pypfopt.data import load_example_prices\n" + "from pypfopt.data import load_cookbook_prices\n" ], "outputs": [], "execution_count": null @@ -94,8 +94,9 @@ } }, "source": [ - "tickers = [\"AAPL\", \"AMD\", \"AMZN\", \"BAC\", \"GOOG\", \"JPM\",\n", - " \"MA\", \"META\", \"PFE\", \"SBUX\", \"WMT\", \"XOM\"]\n" + "tickers = [\"MSFT\", \"AMZN\", \"KO\", \"MA\", \"COST\", \n", + " \"LUV\", \"XOM\", \"PFE\", \"JPM\", \"UNH\", \n", + " \"ACN\", \"DIS\", \"GILD\", \"F\", \"TSLA\"] " ], "outputs": [], "execution_count": null @@ -114,7 +115,7 @@ } }, "source": [ - "prices = load_example_prices()[tickers].dropna()\n" + "prices = load_cookbook_prices()[sorted(tickers)].loc[\"1990\":].dropna(how=\"all\")\n" ], "outputs": [], "execution_count": null @@ -477,18 +478,21 @@ }, "source": [ "sector_mapper = {\n", - " \"AAPL\": \"Tech\",\n", - " \"AMD\": \"Tech\",\n", + " \"MSFT\": \"Tech\",\n", " \"AMZN\": \"Consumer Discretionary\",\n", - " \"BAC\": \"Financial Services\",\n", - " \"GOOG\": \"Tech\",\n", - " \"JPM\": \"Financial Services\",\n", + " \"KO\": \"Consumer Staples\",\n", " \"MA\": \"Financial Services\",\n", - " \"META\": \"Media\",\n", + " \"COST\": \"Consumer Staples\",\n", + " \"LUV\": \"Aerospace\",\n", + " \"XOM\": \"Energy\",\n", " \"PFE\": \"Healthcare\",\n", - " \"SBUX\": \"Consumer Discretionary\",\n", - " \"WMT\": \"Consumer Staples\",\n", - " \"XOM\": \"Energy\"\n", + " \"JPM\": \"Financial Services\",\n", + " \"UNH\": \"Healthcare\",\n", + " \"ACN\": \"Misc\",\n", + " \"DIS\": \"Media\",\n", + " \"GILD\": \"Healthcare\",\n", + " \"F\": \"Auto\",\n", + " \"TSLA\": \"Auto\"\n", "}\n", "\n", "sector_lower = {\n", @@ -498,10 +502,11 @@ "}\n", "\n", "sector_upper = {\n", - " \"Tech\": 0.3,\n", + " \"Tech\": 0.2,\n", + " \"Aerospace\":0.1,\n", " \"Energy\": 0.1,\n", - " \"Media\": 0.2\n", - "}\n" + " \"Auto\":0.15\n", + "}" ], "outputs": [], "execution_count": null @@ -538,14 +543,13 @@ "amzn_index = ef.tickers.index(\"AMZN\")\n", "ef.add_constraint(lambda w: w[amzn_index] == 0.10)\n", "\n", - "meta_index = ef.tickers.index(\"META\")\n", - "ef.add_constraint(lambda w: w[meta_index] <= 0.05)\n", + "tsla_index = ef.tickers.index(\"TSLA\")\n", + "ef.add_constraint(lambda w: w[tsla_index] <= 0.05)\n", "\n", - "wmt_index = ef.tickers.index(\"WMT\")\n", - "ef.add_constraint(lambda w: w[wmt_index] >= 0.05)\n", + "ef.add_constraint(lambda w: w[10] >= 0.05)\n", "\n", "ef.max_sharpe()\n", - "weights = ef.clean_weights()\n" + "weights = ef.clean_weights()" ], "outputs": [], "execution_count": null @@ -1373,8 +1377,8 @@ "S = risk_models.CovarianceShrinkage(prices).ledoit_wolf()\n", "\n", "ef = EfficientFrontier(mu, S,)\n", - "big_tech_indices = [t in {\"AAPL\", \"AMZN\", \"META\"} for t in tickers]\n", - "ef.add_constraint(lambda w: cp.sum(w[big_tech_indices]) <= 0.3)\n" + "big_tech_indices = [t in {\"MSFT\", \"AMZN\", \"TSLA\"} for t in tickers]\n", + "ef.add_constraint(lambda w: cp.sum(w[big_tech_indices]) <= 0.3)" ], "outputs": [], "execution_count": null @@ -1580,4 +1584,4 @@ }, "nbformat": 4, "nbformat_minor": 0 -} +} \ No newline at end of file diff --git a/cookbook/3-Advanced-Mean-Variance-Optimisation.ipynb b/cookbook/3-Advanced-Mean-Variance-Optimisation.ipynb index 2f285f96..94463407 100644 --- a/cookbook/3-Advanced-Mean-Variance-Optimisation.ipynb +++ b/cookbook/3-Advanced-Mean-Variance-Optimisation.ipynb @@ -65,7 +65,7 @@ "import pandas as pd\n", "import numpy as np\n", "\n", - "from pypfopt.data import load_example_prices\n" + "from pypfopt.data import load_cookbook_prices\n" ], "outputs": [], "execution_count": null @@ -80,9 +80,9 @@ } }, "source": [ - "tickers = [\"AAPL\", \"AMD\", \"AMZN\", \"BAC\", \"BABA\",\n", - " \"GE\", \"GM\", \"GOOG\", \"JPM\", \"MA\",\n", - " \"META\", \"PFE\", \"SBUX\", \"WMT\", \"XOM\"]\n" + "tickers = [\"BLK\", \"BAC\", \"AAPL\", \"TM\", \"WMT\",\n", + " \"JD\", \"INTU\", \"MA\", \"UL\", \"CVS\",\n", + " \"DIS\", \"AMD\", \"NVDA\", \"PBI\", \"TGT\"]" ], "outputs": [], "execution_count": null @@ -101,7 +101,7 @@ } }, "source": [ - "prices = load_example_prices()[tickers].dropna()\n" + "prices = load_cookbook_prices()[sorted(tickers)].dropna(how=\"all\")\n" ], "outputs": [], "execution_count": null @@ -121,7 +121,7 @@ } }, "source": [ - "prices.tail()" + "prices.tail()\n" ], "outputs": [], "execution_count": null @@ -487,11 +487,11 @@ "outputs": [], "source": [ "ef = EfficientFrontier(mu, S, weight_bounds=(0.01, 0.2))\n", - "baba_index = ef.tickers.index(\"BABA\") # get the index of BABA\n", - "ef.add_constraint(lambda w: w[baba_index] <= 0.15)\n", + "jd_index = ef.tickers.index(\"JD\") # get the index of JD\n", + "ef.add_constraint(lambda w: w[jd_index] <= 0.15)\n", "ef.convex_objective(logarithmic_barrier_objective, cov_matrix=S, k=0.001)\n", "weights = ef.clean_weights()\n", - "weights\n" + "weights" ] }, { @@ -588,12 +588,12 @@ " objective_args=S,\n", " weights_sum_to_one=True,\n", " constraints=[\n", - " {\"type\": \"eq\", \"fun\": lambda w: w[baba_index] - 0.10}, \n", + " {\"type\": \"eq\", \"fun\": lambda w: w[jd_index] - 0.10}, \n", " ],\n", ")\n", "\n", "weights = ef.clean_weights()\n", - "weights\n" + "weights" ] }, { @@ -793,4 +793,4 @@ }, "nbformat": 4, "nbformat_minor": 0 -} +} \ No newline at end of file diff --git a/cookbook/4-Black-Litterman-Allocation.ipynb b/cookbook/4-Black-Litterman-Allocation.ipynb index 8d04f18a..e6d87838 100644 --- a/cookbook/4-Black-Litterman-Allocation.ipynb +++ b/cookbook/4-Black-Litterman-Allocation.ipynb @@ -70,8 +70,8 @@ "import matplotlib.pyplot as plt\n", "\n", "from pypfopt.data import (\n", + " load_cookbook_prices,\n", " load_example_market_caps,\n", - " load_example_prices,\n", " load_spy_prices,\n", ")\n" ], @@ -88,8 +88,7 @@ } }, "source": [ - "tickers = [\"AAPL\", \"AMZN\", \"BAC\", \"GOOG\", \"JPM\",\n", - " \"MA\", \"META\", \"PFE\", \"SBUX\", \"WMT\"]\n" + "tickers = [\"MSFT\", \"AMZN\", \"NAT\", \"BAC\", \"DPZ\", \"DIS\", \"KO\", \"MCD\", \"COST\", \"SBUX\"]" ], "outputs": [], "execution_count": null @@ -103,7 +102,7 @@ }, "cell_type": "code", "source": [ - "prices = load_example_prices()[tickers].dropna()\n", + "prices = load_cookbook_prices()[sorted(tickers)].dropna(how=\"all\")\n", "prices.tail()\n" ], "outputs": [], @@ -118,7 +117,7 @@ }, "cell_type": "code", "source": [ - "market_prices = load_spy_prices()[\"SPY\"].dropna()\n", + "market_prices = load_spy_prices()\n", "market_prices.head()\n" ], "outputs": [], @@ -278,19 +277,19 @@ "source": [ "# You don't have to provide views on all the assets\n", "viewdict = {\n", - " \"AAPL\": 0.10,\n", " \"AMZN\": 0.10,\n", " \"BAC\": 0.30,\n", - " \"GOOG\": 0.05,\n", - " \"JPM\": 0.05,\n", - " \"MA\": 0.20,\n", - " \"META\": 0.15,\n", - " \"PFE\": -0.05, # I think Pfizer will go down 5%\n", - " \"SBUX\": 0.10,\n", - " \"WMT\": 0.08 # but low confidence, which will be reflected later\n", + " \"COST\": 0.05,\n", + " \"DIS\": 0.05,\n", + " \"DPZ\": 0.20,\n", + " \"KO\": -0.05, # I think Coca-Cola will go down 5%\n", + " \"MCD\": 0.15,\n", + " \"MSFT\": 0.10,\n", + " \"NAT\": 0.50, # but low confidence, which will be reflected later\n", + " \"SBUX\": 0.10\n", "}\n", "\n", - "bl = BlackLittermanModel(S, pi=market_prior, absolute_views=viewdict)\n" + "bl = BlackLittermanModel(S, pi=market_prior, absolute_views=viewdict)" ], "outputs": [], "execution_count": null @@ -330,13 +329,13 @@ " 0.4,\n", " 0.2,\n", " 0.5,\n", - " 0.7,\n", - " 0.7,\n", - " 0.7,\n", + " 0.7, # confident in dominos\n", + " 0.7, # confident KO will do poorly\n", + " 0.7, \n", " 0.5,\n", - " 0.4,\n", - " 0.1\n", - "]\n" + " 0.1,\n", + " 0.4\n", + "]" ], "outputs": [], "execution_count": null @@ -718,4 +717,4 @@ }, "nbformat": 4, "nbformat_minor": 0 -} +} \ No newline at end of file diff --git a/cookbook/5-Hierarchical-Risk-Parity.ipynb b/cookbook/5-Hierarchical-Risk-Parity.ipynb index 7bd7d97c..bcda6e43 100644 --- a/cookbook/5-Hierarchical-Risk-Parity.ipynb +++ b/cookbook/5-Hierarchical-Risk-Parity.ipynb @@ -76,7 +76,7 @@ "import pandas as pd\n", "import pypfopt\n", "\n", - "from pypfopt.data import load_example_prices\n", + "from pypfopt.data import load_cookbook_prices\n", "\n", "pypfopt.__version__\n" ], @@ -93,11 +93,11 @@ }, "cell_type": "code", "source": [ - "tickers = [\"AAPL\", \"AMD\", \"AMZN\", \"BAC\", \"BABA\",\n", - " \"GE\", \"GM\", \"GOOG\", \"JPM\", \"MA\",\n", - " \"META\", \"PFE\", \"SBUX\", \"WMT\", \"XOM\"]\n", + "tickers = [\"BLK\", \"BAC\", \"AAPL\", \"TM\", \"WMT\",\n", + " \"JD\", \"INTU\", \"MA\", \"UL\", \"CVS\",\n", + " \"DIS\", \"AMD\", \"NVDA\", \"PBI\", \"TGT\"]\n", "\n", - "prices = load_example_prices()[tickers].dropna()\n", + "prices = load_cookbook_prices()[sorted(tickers)].dropna(how=\"all\")\n", "prices.tail()\n" ], "id": "575bf519e8a54e4a", @@ -300,4 +300,4 @@ }, "nbformat": 4, "nbformat_minor": 5 -} +} \ No newline at end of file diff --git a/pypfopt/data/__init__.py b/pypfopt/data/__init__.py index 1e3b61ac..cf245d29 100644 --- a/pypfopt/data/__init__.py +++ b/pypfopt/data/__init__.py @@ -1,9 +1,10 @@ -import json from importlib.resources import files +import json import pandas as pd __all__ = [ + "load_cookbook_prices", "load_example_market_caps", "load_example_prices", "load_spy_prices", @@ -20,6 +21,10 @@ def load_example_prices() -> pd.DataFrame: return _load_csv("stock_prices.csv") +def load_cookbook_prices() -> pd.DataFrame: + return _load_csv("yfinance_stock_prices.csv") + + def load_spy_prices() -> pd.DataFrame: return _load_csv("spy_prices.csv") diff --git a/pypfopt/data/example_market_caps.json b/pypfopt/data/example_market_caps.json index f0008ae2..1e1a5455 100644 --- a/pypfopt/data/example_market_caps.json +++ b/pypfopt/data/example_market_caps.json @@ -1,12 +1,12 @@ { - "AAPL": 3000000000000, - "AMZN": 2000000000000, - "BAC": 300000000000, - "GOOG": 2200000000000, - "JPM": 700000000000, - "MA": 500000000000, - "META": 1500000000000, - "PFE": 150000000000, - "SBUX": 110000000000, - "WMT": 750000000000 + "AMZN": 2662932938752, + "BAC": 391632846848, + "COST": 405003698176, + "DIS": 206492696576, + "DPZ": 13826333696, + "KO": 308038205440, + "MCD": 218510311424, + "MSFT": 3780701847552, + "NAT": 768654912, + "SBUX": 98250891264 } diff --git a/pypfopt/data/spy_prices.csv 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-2004-07-12,76.07012939453125 -2004-07-13,76.12460327148438 -2004-07-14,75.89317321777344 -2004-07-15,75.40321350097656 -2004-07-16,75.34197235107422 -2004-07-19,75.0220947265625 -2004-07-20,75.974853515625 -2004-07-21,74.57292175292969 -2004-07-22,74.7771224975586 -2004-07-23,74.1510238647461 -2004-07-26,74.0080795288086 -2004-07-27,74.70223999023438 -2004-07-28,74.92682647705078 -2004-07-29,75.24665069580078 -2004-07-30,75.43043518066406 -2004-08-02,75.58697509765625 -2004-08-03,75.00170135498047 -2004-08-04,74.99488067626953 -2004-08-05,73.76994323730469 -2004-08-06,72.71510314941406 -2004-08-09,72.81717681884766 -2004-08-10,73.75630950927734 -2004-08-11,73.6065902709961 -2004-08-12,72.80357360839844 -2004-08-13,72.94649505615234 -2004-08-16,73.70189666748047 -2004-08-17,74.11700439453125 -2004-08-18,74.87918853759766 -2004-08-19,74.66140747070312 -2004-08-20,75.18545532226562 -2004-08-23,74.99488067626953 -2004-08-24,75.09696197509766 -2004-08-25,75.60738372802734 -2004-08-26,75.60738372802734 -2004-08-27,75.84552001953125 -2004-08-30,75.21945190429688 -2004-08-31,75.6141586303711 -2004-09-01,75.7571029663086 -2004-09-02,76.61453247070312 -2004-09-03,76.30152130126953 -2004-09-07,76.80508422851562 -2004-09-08,76.61453247070312 -2004-09-09,76.54650115966797 -2004-09-10,76.94120025634766 -2004-09-13,77.1929931640625 -2004-09-14,77.34953308105469 -2004-09-15,76.76425170898438 -2004-09-16,76.99568939208984 -2004-09-17,77.3229751586914 -2004-09-20,76.8582992553711 -2004-09-21,77.19315338134766 -2004-09-22,76.22960662841797 -2004-09-23,75.8196029663086 -2004-09-24,76.16808319091797 -2004-09-27,75.68289184570312 -2004-09-28,76.04507446289062 -2004-09-29,76.42774963378906 -2004-09-30,76.37312316894531 -2004-10-01,77.66466522216797 -2004-10-04,77.79450988769531 -2004-10-05,77.8354721069336 -2004-10-06,78.36853790283203 -2004-10-07,77.52801513671875 -2004-10-08,76.88562774658203 -2004-10-11,77.19996643066406 -2004-10-12,76.8993148803711 -2004-10-13,76.2228012084961 -2004-10-14,75.60773468017578 -2004-10-15,76.03144836425781 -2004-10-18,76.31846618652344 -2004-10-19,75.6760482788086 -2004-10-20,75.5257339477539 -2004-10-21,76.01774597167969 -2004-10-22,75.16356658935547 -2004-10-25,75.07471466064453 -2004-10-26,76.2228012084961 -2004-10-27,77.13846588134766 -2004-10-28,77.3708267211914 -2004-10-29,77.35714721679688 -2004-11-01,77.56898498535156 -2004-11-02,77.59635925292969 -2004-11-03,78.57356262207031 -2004-11-04,79.64640045166016 -2004-11-05,80.14531707763672 -2004-11-08,80.02914428710938 -2004-11-09,79.8719482421875 -2004-11-10,79.9334716796875 -2004-11-11,80.5416488647461 -2004-11-12,81.17716979980469 -2004-11-15,81.37665557861328 -2004-11-16,80.79401397705078 -2004-11-17,81.27381896972656 -2004-11-18,81.38346862792969 -2004-11-19,80.47876739501953 -2004-11-22,80.86260223388672 -2004-11-23,80.98600769042969 -2004-11-24,81.17786407470703 -2004-11-26,81.1161880493164 -2004-11-29,80.74606323242188 -2004-11-30,80.80093383789062 -2004-12-01,81.71931457519531 -2004-12-02,81.787841796875 -2004-12-03,81.73304748535156 -2004-12-06,81.70560455322266 -2004-12-07,80.94480895996094 -2004-12-08,81.41777038574219 -2004-12-09,81.70560455322266 -2004-12-10,81.787841796875 -2004-12-13,82.50066375732422 -2004-12-14,82.78853607177734 -2004-12-15,82.85021209716797 -2004-12-16,82.80224609375 -2004-12-17,82.24996948242188 -2004-12-20,82.2706298828125 -2004-12-21,82.9041519165039 -2004-12-22,83.10386657714844 -2004-12-23,83.16586303710938 -2004-12-27,82.99369812011719 -2004-12-28,83.44815063476562 -2004-12-29,83.5721206665039 -2004-12-30,83.41373443603516 -2004-12-31,83.2347183227539 -2005-01-03,82.84219360351562 -2005-01-04,81.82989501953125 -2005-01-05,81.26524353027344 -2005-01-06,81.67841339111328 -2005-01-07,81.56133270263672 -2005-01-10,81.94695281982422 -2005-01-11,81.38228607177734 -2005-01-12,81.65088653564453 -2005-01-13,80.99664306640625 -2005-01-14,81.42362213134766 -2005-01-18,82.2706298828125 -2005-01-19,81.4098129272461 -2005-01-20,80.91401672363281 -2005-01-21,80.418212890625 -2005-01-24,80.25981140136719 -2005-01-25,80.48706817626953 -2005-01-26,80.72807312011719 -2005-01-27,80.86579132080078 -2005-01-28,80.86579132080078 -2005-01-31,81.36856842041016 -2005-02-01,81.8849868774414 -2005-02-02,82.13289642333984 -2005-02-03,81.9194564819336 -2005-02-04,82.79399871826172 -2005-02-07,82.68380737304688 -2005-02-08,82.78026580810547 -2005-02-09,82.16043090820312 -2005-02-10,82.45653533935547 -2005-02-11,83.16586303710938 -2005-02-14,83.10386657714844 -2005-02-15,83.41373443603516 -2005-02-16,83.46880340576172 -2005-02-17,82.79399871826172 -2005-02-18,82.9041519165039 -2005-02-22,81.6715316772461 -2005-02-23,82.2568359375 -2005-02-24,82.80086517333984 -2005-02-25,83.62030029296875 -2005-02-28,83.06941223144531 -2005-03-01,83.48262786865234 -2005-03-02,83.4412841796875 -2005-03-03,83.4757308959961 -2005-03-04,84.51555633544922 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"TSLA", + "UNH", + "XOM", +} + +ADVANCED_AND_HRP_TICKERS = { + "AAPL", + "AMD", + "BAC", + "BLK", + "CVS", + "DIS", + "INTU", + "JD", + "MA", + "NVDA", + "PBI", + "TGT", + "TM", + "UL", + "WMT", +} + +BLACK_LITTERMAN_TICKERS = { + "AMZN", + "BAC", + "COST", + "DIS", + "DPZ", + "KO", + "MCD", + "MSFT", + "NAT", + "SBUX", +} + def test_load_example_prices(): prices = load_example_prices() @@ -13,6 +63,22 @@ def test_load_example_prices(): assert {"AAPL", "AMD", "AMZN", "META", "WMT", "XOM"}.issubset(prices.columns) +def test_load_cookbook_prices(): + prices = load_cookbook_prices() + expected_tickers = ( + MEAN_VARIANCE_TICKERS | ADVANCED_AND_HRP_TICKERS | BLACK_LITTERMAN_TICKERS + ) + mean_variance_prices = ( + prices[sorted(MEAN_VARIANCE_TICKERS)].loc["1990":].dropna(how="all") + ) + + assert prices.index.name == "date" + assert str(prices.index.dtype).startswith("datetime64") + assert expected_tickers.issubset(prices.columns) + assert mean_variance_prices.shape[1] == len(MEAN_VARIANCE_TICKERS) + assert not mean_variance_prices.empty + + def test_load_spy_prices(): prices = load_spy_prices() @@ -24,16 +90,5 @@ def test_load_spy_prices(): def test_load_example_market_caps(): market_caps = load_example_market_caps() - assert set(market_caps) == { - "AAPL", - "AMZN", - "BAC", - "GOOG", - "JPM", - "MA", - "META", - "PFE", - "SBUX", - "WMT", - } + assert set(market_caps) == BLACK_LITTERMAN_TICKERS assert all(value > 0 for value in market_caps.values()) diff --git a/tests/test_imports.py b/tests/test_imports.py index bf5e1bba..436ad234 100644 --- a/tests/test_imports.py +++ b/tests/test_imports.py @@ -24,6 +24,7 @@ def test_explicit_import(): ) from pypfopt.cla import CLA from pypfopt.data import ( + load_cookbook_prices, load_example_market_caps, load_example_prices, load_spy_prices,