Created
May 3, 2023 17:14
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Scatter plot of daily returns for two tickers and their distributions.
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "code", | |
| "execution_count": 12, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "# Data\n", | |
| "import yfinance as yf\n", | |
| "from datetime import datetime, timedelta\n", | |
| "from pypfopt import EfficientSemivariance, objective_functions, expected_returns, risk_models\n", | |
| "import matplotlib.pyplot as plt\n", | |
| "import matplotlib.gridspec as gridspec\n", | |
| "import seaborn as sns\n", | |
| "from scipy.stats import skew, kurtosis\n", | |
| "import numpy as np\n", | |
| "\n", | |
| "startdate = \"2016-03-23\"\n", | |
| "yesterday = (datetime.today() - timedelta(days=1)).strftime('%Y-%m-%d')\n", | |
| "enddate=yesterday\n", | |
| "\n", | |
| "# Get price data\n", | |
| "symbols = [\"BRK-B\", \"TSLA\", \"VOW.DE\", \"DDOG\", \"BABA\"]\n", | |
| "benchmarks = [\"YM=F\"]\n", | |
| "tickers = symbols + benchmarks\n", | |
| "ohlc = yf.download(tickers, start=startdate, end=yesterday, progress=False)\n", | |
| "prices = ohlc[\"Adj Close\"].dropna()\n", | |
| "returns = prices.pct_change().dropna()\n", | |
| "\n", | |
| "# Find the current Risk-free rate, and derive the daily rate.\n", | |
| "rf_asset = [\"^TNX\"]\n", | |
| "rfr_data = yf.download(tickers=rf_asset,\n", | |
| " start=(datetime.today() - timedelta(days=550)).strftime('%Y-%m-%d'),\n", | |
| " end=yesterday, \n", | |
| " progress=False)[\"Close\"].dropna() / 100\n", | |
| "\n", | |
| "# Calculate and use a three-day average as the annual rate.\n", | |
| "rfr = rfr_data.iloc[-3:].mean()\n", | |
| "\n", | |
| "# Derive the daily rfr from the annual risk-free rate. Uses compound growth: (1 + rfr)^(1/252)\n", | |
| "daily_rfr = (1 + rfr) ** (1/252) - 1\n", | |
| "\n", | |
| "mu = expected_returns.mean_historical_return(prices)\n", | |
| "#mu = expected_returns.returns_from_prices(prices)\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 13, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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", | |
| "text/plain": [ | |
| "<Figure size 1200x600 with 3 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "# Plot\n", | |
| "sns.set_style('darkgrid')\n", | |
| "\n", | |
| "# Set 2 assets to compare\n", | |
| "asset_i = 'TSLA'\n", | |
| "asset_j = 'BABA'\n", | |
| "\n", | |
| "tickers = [asset_i, asset_j]\n", | |
| "\n", | |
| "returns_filtered = returns.loc[:, tickers]\n", | |
| "\n", | |
| "fig = plt.figure(figsize=(12, 6), linewidth=1)\n", | |
| "gs = gridspec.GridSpec(1, 2, width_ratios=[61.8, 38.2])\n", | |
| "ax1 = plt.subplot(gs[0])\n", | |
| "ax1.scatter(returns[asset_i], returns[asset_j], c='lightblue', s=8, alpha=0.85)\n", | |
| "ax1.axhline(y=0, color='black', alpha=0.35, linewidth=0.5)\n", | |
| "ax1.axvline(x=0, color='black', alpha=0.35, linewidth=0.5)\n", | |
| "ax1.set_xlabel(f\"Returns {asset_i}\", fontsize=9)\n", | |
| "ax1.set_ylabel(f\"Returns {asset_j}\", fontsize=9)\n", | |
| "ax1.tick_params(axis='both', labelsize=8)\n", | |
| "ax1.set_title(f\"Daily returns for {asset_i}/{asset_j}\\n({startdate}—{enddate})\", fontsize=11)\n", | |
| "\n", | |
| "gs2 = gridspec.GridSpecFromSubplotSpec(2, 1, subplot_spec=gs[1], height_ratios=[0.5, 0.5])\n", | |
| "\n", | |
| "for i, (ticker, data) in enumerate(returns_filtered.items()):\n", | |
| " ax = plt.subplot(gs2[i])\n", | |
| " sns.histplot(data, kde=True, bins=75, ax=ax)\n", | |
| " ax.set_title(ticker, fontsize=9)\n", | |
| " ax.set_xlabel('')\n", | |
| " ax.set_ylabel('')\n", | |
| " ax.yaxis.set_major_formatter(plt.NullFormatter())\n", | |
| " ax.tick_params(axis='both', labelsize=8)\n", | |
| " std_dev = np.std(data)\n", | |
| " skewness = skew(data)\n", | |
| " kurt = kurtosis(data)\n", | |
| " text = f'Std. Dev: {std_dev:.5f}\\nSkewness: {skewness:.3f}\\nKurtosis: {kurt:.2f}'\n", | |
| " ax.text(0.02, 0.95, text, transform=ax.transAxes, verticalalignment='top', size=8)\n", | |
| "\n", | |
| "n_i = len(returns[asset_i].dropna())\n", | |
| "ax1.text(0.98, 1.03, s=f\"$n = {n_i}$\", transform=ax1.transAxes, ha='right', va='top', fontsize=8, c=\"gray\")\n", | |
| "\n", | |
| "ax = plt.subplot(gs2[0])\n", | |
| "\n", | |
| "plt.tight_layout()\n", | |
| "plt.show()" | |
| ] | |
| } | |
| ], | |
| "metadata": { | |
| "kernelspec": { | |
| "display_name": "Python 3", | |
| "language": "python", | |
| "name": "python3" | |
| }, | |
| "language_info": { | |
| "codemirror_mode": { | |
| "name": "ipython", | |
| "version": 3 | |
| }, | |
| "file_extension": ".py", | |
| "mimetype": "text/x-python", | |
| "name": "python", | |
| "nbconvert_exporter": "python", | |
| "pygments_lexer": "ipython3", | |
| "version": "3.11.2" | |
| }, | |
| "orig_nbformat": 4 | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 2 | |
| } |
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