{ "cells": [ { "cell_type": "markdown", "id": "1de13e7d", "metadata": {}, "source": [ "
" ] }, { "cell_type": "markdown", "id": "85b06070", "metadata": {}, "source": [ "## Load historical stock data for a given ticker symbol" ] }, { "cell_type": "markdown", "id": "d2188a44-6cc3-4440-a64b-a1464dbd285e", "metadata": {}, "source": [ "We start by loading historical stock data for NVIDIA (ticker symbol \"NVDA\") from Yahoo Finance. This helps us get the historical prices of the stock to perform further analysis." ] }, { "cell_type": "code", "execution_count": 12, "id": "286266d9", "metadata": {}, "outputs": [], "source": [ "import math\n", "import pandas as pd\n", "import yfinance as yf\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "id": "6858d527", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/jason/anaconda3/envs/newsletter/lib/python3.10/site-packages/yfinance/utils.py:775: FutureWarning: The 'unit' keyword in TimedeltaIndex construction is deprecated and will be removed in a future version. Use pd.to_timedelta instead.\n", " df.index += _pd.TimedeltaIndex(dst_error_hours, 'h')\n", "[*********************100%%**********************] 1 of 1 completed\n" ] } ], "source": [ "data = yf.download(\"NVDA\", start=\"2023-01-01\")" ] }, { "cell_type": "markdown", "id": "fa664dcd", "metadata": {}, "source": [ "This code uses the `yfinance` library to download stock data for NVIDIA starting from January 1, 2023. The data is stored in a pandas DataFrame named `data`. This DataFrame contains various columns such as 'Open', 'High', 'Low', 'Close', 'Volume', and 'Adj Close', which represent different aspects of the stock's daily performance." ] }, { "cell_type": "markdown", "id": "ea35ec2d", "metadata": {}, "source": [ "## Display the first few rows of the data" ] }, { "cell_type": "markdown", "id": "226e6fd1-72f2-4fc5-b56c-8280c3770a5b", "metadata": {}, "source": [ "Next, we display the first few rows of the data to understand its structure and the kind of information it holds." ] }, { "cell_type": "code", "execution_count": 3, "id": "d6b459fa", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Date
2023-01-0314.85114.99614.09614.31514.305580401277000
2023-01-0414.56714.85314.24114.74914.739294431324000
2023-01-0514.49114.56414.14814.26514.255615389168000
2023-01-0614.47415.01014.03414.85914.849223405044000
2023-01-0915.28416.05615.14115.62815.617717504231000
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" ], "text/plain": [ " Open High Low Close Adj Close Volume\n", "Date \n", "2023-01-03 14.851 14.996 14.096 14.315 14.305580 401277000\n", "2023-01-04 14.567 14.853 14.241 14.749 14.739294 431324000\n", "2023-01-05 14.491 14.564 14.148 14.265 14.255615 389168000\n", "2023-01-06 14.474 15.010 14.034 14.859 14.849223 405044000\n", "2023-01-09 15.284 16.056 15.141 15.628 15.617717 504231000" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data.head()" ] }, { "cell_type": "markdown", "id": "ebeb8b38", "metadata": {}, "source": [ "The `head()` function in pandas displays the first five rows of the DataFrame by default. This allows us to quickly inspect the data and verify that it has been loaded correctly. We can see the dates as the index and the columns representing different metrics such as opening price, closing price, highest price, lowest price, and volume for each trading day." ] }, { "cell_type": "markdown", "id": "4d8228e5", "metadata": {}, "source": [ "## Calculate moving averages and other indicators" ] }, { "cell_type": "markdown", "id": "12f70317-3fa2-4a51-a62b-1d7cbfe0adbb", "metadata": {}, "source": [ "Now, we calculate the 20-day and 50-day simple moving averages (SMA) of the stock's closing price. We also calculate the historical volatility and the percentile rank of the closing prices." ] }, { "cell_type": "code", "execution_count": 4, "id": "ed4d183a", "metadata": {}, "outputs": [], "source": [ "data['SMA20'] = data['Close'].rolling(window=20).mean()" ] }, { "cell_type": "code", "execution_count": 5, "id": "48c82c04", "metadata": {}, "outputs": [], "source": [ "data['SMA50'] = data['Close'].rolling(window=50).mean()" ] }, { "cell_type": "code", "execution_count": 16, "id": "d8537299", "metadata": {}, "outputs": [], "source": [ "data['vol'] = data['Close'].pct_change().rolling(window=21).std() * math.sqrt(252)" ] }, { "cell_type": "code", "execution_count": 7, "id": "73483402", "metadata": {}, "outputs": [], "source": [ "data['pct_rank'] = data['Close'].rolling(window=21).rank(pct=True)" ] }, { "cell_type": "markdown", "id": "6d4891ad", "metadata": {}, "source": [ "We calculate the 20-day and 50-day simple moving averages by using the `rolling` method with a specified window and then applying the `mean` function. These moving averages help identify trends in the stock price. We compute historical volatility by taking the standard deviation of the closing prices over a 21-day window and then annualizing it using the square root of 252 (number of trading days in a year). Finally, the percentile rank of the closing prices over a 21-day window is calculated using the `rank` method with the `pct` parameter set to True, giving us a value between 0 and 1." ] }, { "cell_type": "markdown", "id": "04f8dcba", "metadata": {}, "source": [ "## Plot the stock's closing price and moving averages" ] }, { "cell_type": "markdown", "id": "276b8ffe-1a30-4feb-88e3-fed30790dce8", "metadata": {}, "source": [ "Next, we plot the stock's closing price along with the 20-day and 50-day simple moving averages to visualize trends and patterns." ] }, { "cell_type": "code", "execution_count": 8, "id": "1b5a28a6", "metadata": {}, "outputs": [], "source": [ "to_plot = [\"Close\", \"SMA20\", \"SMA50\"]" ] }, { "cell_type": "code", "execution_count": 9, "id": "8e397701", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data[to_plot].plot()" ] }, { "cell_type": "markdown", "id": "5e175590", "metadata": {}, "source": [ "We store the columns to be plotted (closing price, 20-day SMA, and 50-day SMA) in a list named `to_plot`. Using pandas' `plot` method, we create a line plot for these columns. This visual representation helps us see how the stock's price moves relative to its short-term and long-term trends defined by the moving averages." ] }, { "cell_type": "markdown", "id": "534be659", "metadata": {}, "source": [ "## Plot historical volatility" ] }, { "cell_type": "markdown", "id": "af7dd432-f6e8-4dda-99a4-41d182e62011", "metadata": {}, "source": [ "We then plot the historical volatility of the stock to understand its risk and price fluctuations over time." ] }, { "cell_type": "code", "execution_count": 20, "id": "11f60504", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = data[\"Close\"].plot()\n", "data.vol.plot(secondary_y=True, ax=ax)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "80074b64-9fa2-4e71-af9e-38513cbe9e0b", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "9503e943-6fdf-4b0e-b179-4f87e2585543", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "ebaca4e2", "metadata": {}, "source": [ "This code creates a line plot showing both the closing price and the computed historical volatility. By plotting these together, we can see how the stock's volatility changes over time and how it correlates with the price movements. Higher volatility indicates higher risk and larger price swings, while lower volatility suggests more stable price behavior." ] }, { "cell_type": "markdown", "id": "70f3dd1c", "metadata": {}, "source": [ "## Plot the percentile rank over time" ] }, { "cell_type": "markdown", "id": "7a197fa5-bfa0-43c5-83ba-332318f25801", "metadata": {}, "source": [ "Finally, we plot the percentile rank of the closing prices to see how the current price compares to its historical range." ] }, { "cell_type": "code", "execution_count": 11, "id": "8d9891d7", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data['pct_rank'].plot()" ] }, { "cell_type": "markdown", "id": "3a935d44", "metadata": {}, "source": [ "We use the `plot` method to visualize the percentile rank of the closing prices. This plot shows how the current price ranks within a specified window of past prices. A high percentile rank indicates that the current price is relatively high compared to its historical range, while a low percentile rank suggests that it is relatively low. This can help identify overbought or oversold conditions in the stock." ] }, { "cell_type": "markdown", "id": "adf2b678", "metadata": {}, "source": [ "## Your next steps" ] }, { "cell_type": "markdown", "id": "c77c3a6a-baac-41ce-bd61-4973f91c6476", "metadata": {}, "source": [ "To deepen your understanding, try changing the stock ticker symbol to analyze a different company's data. You can also experiment with different time windows for the moving averages and volatility calculations to see how these changes affect the results." ] }, { "cell_type": "markdown", "id": "8ff41b94", "metadata": {}, "source": [ "PyQuant News is where finance practitioners level up with Python for quant finance, algorithmic trading, and market data analysis. Looking to get started? Check out the fastest growing, top-selling course to get started with Python for quant finance. For educational purposes. Not investment advise. Use at your own risk." ] } ], "metadata": { "jupytext": { "cell_metadata_filter": "-all", "main_language": "python", "notebook_metadata_filter": "-all" }, "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.10.13" } }, "nbformat": 4, "nbformat_minor": 5 }