{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Window Functions - Rolling and Expanding Metrics\n", "> A Summary of lecture \"Manipulating Time Series Data in Python\", via datacamp\n", "\n", "- toc: true \n", "- badges: true\n", "- comments: true\n", "- author: Chanseok Kang\n", "- categories: [Python, Datacamp, Time_Series_Analysis]\n", "- image: images/stock_heatmap.png" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", "plt.rcParams['figure.figsize'] = (10, 5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Rolling window function with pandas\n", "- window functions in pandas\n", " - Windows identify sub periods of your time series\n", " - Calculate metrics for sub periods inside the window\n", " - Create a new time series of metrics\n", " - Two types of windows\n", " - Rolling: same size, sliding\n", " - Expanding: Contain all prior values" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Rolling average air quality since 2010 for new york city\n", "The last video was about rolling window functions. To practice this new tool, you'll start with air quality trends for New York City since 2010. In particular, you'll be using the daily Ozone concentration levels provided by the Environmental Protection Agency to calculate & plot the 90 and 360 day rolling average.\n", "\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "DatetimeIndex: 6291 entries, 2000-01-01 to 2017-03-31\n", "Data columns (total 1 columns):\n", " # Column Non-Null Count Dtype \n", "--- ------ -------------- ----- \n", " 0 Ozone 6167 non-null float64\n", "dtypes: float64(1)\n", "memory usage: 98.3 KB\n", "None\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# import and inspect ozone data here\n", "data = pd.read_csv('./dataset/ozone_nyc.csv', parse_dates=['date'], index_col='date')\n", "print(data.info())\n", "\n", "# Calculate 90d and 360d rolling mean for the last price\n", "data['90D'] = data['Ozone'].rolling('90D').mean()\n", "data['360D'] = data['Ozone'].rolling('360D').mean()\n", "\n", "# Plot data\n", "data.loc['2010':].plot(title='New York City');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Rolling 360-day median & std. deviation for nyc ozone data since 2000\n", "The last video also showed you how to calculate several rolling statistics using the ```.agg()``` method, similar to ```.groupby()```.\n", "\n", "Let's take a closer look at the air quality history of NYC using the Ozone data you have seen before. The daily data are very volatile, so using a longer term rolling average can help reveal a longer term trend.\n", "\n", "You'll be using a 360 day rolling window, and ```.agg()``` to calculate the rolling mean and standard deviation for the daily average ozone values since 2000." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "data = pd.read_csv('./dataset/ozone_nyc.csv', parse_dates=['date'], index_col='date').dropna()\n", "\n", "# Calculate the rolling mean and std here\n", "rolling_stats = data['Ozone'].rolling(360).agg(['mean', 'std'])\n", "\n", "# Join rolling_stats with ozone data\n", "stats = data.join(rolling_stats)\n", "\n", "# Plot data\n", "stats.plot(subplots=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Rolling quantiles for daily air quality in nyc\n", "You learned in the last video how to calculate rolling quantiles to describe changes in the dispersion of a time series over time in a way that is less sensitive to outliers than using the mean and standard deviation.\n", "\n", "Let's calculate rolling quantiles - at 10%, 50% (median) and 90% - of the distribution of daily average ozone concentration in NYC using a 360-day rolling window." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "DatetimeIndex: 6300 entries, 2000-01-01 to 2017-03-31\n", "Freq: D\n", "Data columns (total 1 columns):\n", " # Column Non-Null Count Dtype \n", "--- ------ -------------- ----- \n", " 0 Ozone 6300 non-null float64\n", "dtypes: float64(1)\n", "memory usage: 98.4 KB\n", "None\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Resample, interpolate and inspect ozone data here\n", "data = data.resample('D').interpolate()\n", "print(data.info())\n", "\n", "# Create the rolling window\n", "rolling = data['Ozone'].rolling(360)\n", "\n", "# Insert the rolling quantiles to the monthly returns\n", "data['q10'] = rolling.quantile(0.1).to_frame('q10')\n", "data['q50'] = rolling.quantile(0.5).to_frame('q50')\n", "data['q90'] = rolling.quantile(0.9).to_frame('q90')\n", "\n", "# Plot the data\n", "data.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Expanding window functions with pandas\n", "- Expanding windows in pandas\n", " - From rolling to expanding windows\n", " - Calculate metrics for periods up to current date\n", " - New time series reflects all historical values\n", " - Useful for running rate of return, running min/max\n", " - Two options with pandas:\n", " - ```.expanding()```\n", " - ```.cumsum()```,```.cumprod()```,```.cummin()```, ```.cummax()```\n", "- How to calculate a running return\n", " - Single period return $r_t$: current prince over last price minus 1:\n", " $$ r_t = \\frac{P_t}{P_{t-1}} - 1 $$\n", " - Multi-period return: product of ($1 + r_t$) for all periods, minus 1:\n", " $$ R_T = (1 + r_1)(1 + r_2) \\dots (1 + r_T) - 1 $$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Cumulative sum vs .diff()\n", "In the video, you have learned about expanding windows that allow you to run cumulative calculations.\n", "\n", "The cumulative sum method has in fact the opposite effect of the ```.diff()``` method that you came across in chapter 1.\n", "\n", "To illustrate this, let's use the Google stock price time series, create the differences between prices, and reconstruct the series using the cumulative sum." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "data = pd.read_csv('./dataset/google.csv', parse_dates=['Date'], index_col='Date').dropna()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "True\n" ] } ], "source": [ "# Calculate differences\n", "differences = data.diff().dropna()\n", "\n", "# Select start price\n", "start_price = data.first('D')\n", "\n", "# Calculate cumulative sum\n", "cumulative_sum = start_price.append(differences).cumsum()\n", "\n", "# Validate cumulative sum equals data\n", "print(data.equals(cumulative_sum))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Cumulative return on $ 1,000 invested in google vs apple I\n", "To put your new ability to do cumulative return calculations to practical use, let's compare how much $1,000 would be worth if invested in Google ('GOOG') or Apple ('AAPL') in 2010.\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "data = pd.read_csv('./dataset/apple_google.csv', parse_dates=['Date'], index_col='Date')" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Define your investment\n", "investment = 1000\n", "\n", "# Calculate the daily returns here\n", "returns = data.pct_change()\n", "\n", "# Calculate the cumulative returns here\n", "returns_plus_one = returns + 1\n", "cumulative_return = returns_plus_one.cumprod()\n", "\n", "# Calculate and plot the investment return here\n", "cumulative_return.mul(investment).plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Cumulative return on $ 1,000 invested in google vs apple II\n", "Apple outperformed Google over the entire period, but this may have been different over various 1-year sub periods, so that switching between the two stocks might have yielded an even better result.\n", "\n", "To analyze this, calculate that cumulative return for rolling 1-year periods, and then plot the returns to see when each stock was superior.\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Define a multi_period_return function\n", "def multi_period_return(period_returns):\n", " return np.prod(period_returns + 1) - 1\n", "\n", "# Calculate daily returns\n", "daily_returns = data.pct_change()\n", "\n", "# Calculate rolling_annual_returns\n", "rolling_annual_returns = daily_returns.rolling('360D').apply(multi_period_return)\n", "\n", "# Plot rolling_annual_returns\n", "rolling_annual_returns.mul(100).plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Case study: S&P500 price simulation\n", "- Random walks & simulations\n", " - Daily stock returns are hard to predict\n", " - Models often assume they are random in nature\n", " - Numpy allows you to generate random numbers\n", " - From random returns to prices: use ```.cumprod()```\n", " - Two examples:\n", " - Generate random returns\n", " - Randomly selected actual SP500 returns" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Random walk I\n", "In the last video, you have seen how to generate a random walk of returns, and how to convert this random return series into a random stock price path.\n", "\n", "In this exercise, you'll build your own random walk by drawing random numbers from the normal distribution with the help of numpy." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Set seed here\n", "np.random.seed(42)\n", "\n", "# Create random_walk\n", "random_walk = np.random.normal(loc=0.001, scale=0.01, size=2500)\n", "\n", "# Convert random_walk to pd.series\n", "random_walk = pd.Series(random_walk)\n", "\n", "# Create random_prices\n", "random_prices = random_walk.add(1).cumprod()\n", "\n", "# Plot random_prices\n", "random_prices.mul(1000).plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Random walk II\n", "In the last video, you have also seen how to create a random walk of returns by sampling from actual returns, and how to use this random sample to create a random stock price path.\n", "\n", "In this exercise, you'll build a random walk using historical returns from Facebook's stock price since IPO through the end of May 31, 2017. Then you'll simulate an alternative random price path in the next exercise." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "fb = pd.read_csv('./dataset/fb.csv', header=None, index_col=0)\n", "fb.index = pd.to_datetime(fb.index)\n", "fb.index = fb.index.rename('date')\n", "fb.columns = ['price']" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Set seed here\n", "np.random.seed(42)\n", "\n", "# Calculate daily_returns here\n", "daily_returns = fb['price'].pct_change().dropna()\n", "\n", "# Get n_obs\n", "n_obs = daily_returns.count()\n", "\n", "# Create random_walk\n", "random_walk = np.random.choice(daily_returns, size=n_obs)\n", "\n", "# Convert random_walk to pd.Series\n", "random_walk = pd.Series(random_walk)\n", "\n", "# Plot random_walk distribution\n", "sns.distplot(random_walk);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Random walk III\n", "In this exercise, you'll complete your random walk simulation using Facebook stock returns over the last five years. You'll start off with a random sample of returns like the one you've generated during the last exercise and use it to create a random stock price path." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "random_walk = pd.read_csv('./dataset/random_walk.csv', header=None, index_col=0)\n", "date_range = pd.date_range(start=fb.index[1], periods= len(fb) - 1, freq='B')\n", "random_walk.index = date_range\n", "random_walk = pd.Series(random_walk[1])" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Select fb start price here\n", "start = fb['price'].first('D')\n", "\n", "# Add 1 to random walk and append to start\n", "random_walk = random_walk.add(1)\n", "random_price = start.append(random_walk)\n", "\n", "# Calculate cumulative product here\n", "random_price = random_price.cumprod()\n", "\n", "# Insert into fb and plot\n", "fb['random'] = random_price\n", "fb.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Relationships between time series: correlation\n", "- Correlation & relations between series\n", " - So far, focus on characteristics of individual variables\n", " - Now: characheristic of relations between variables\n", " - Correlation: measures linear relationships\n", " - Financial markets: important for prediction and risk management\n", "- Correlation & linear relationships\n", " - Correlation coefficient: how similar is the pairwise movement of two variables around their averages?\n", " - Varies between $-1$ and $+1$:\n", " $$ r = \\frac{\\sum_{i=1}^{N}(x_i - \\bar{x})(y_i - \\bar{y})}{s_x s_y} $$\n", "![corr](image/corr.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Annual return correlations among several stocks\n", "You have seen in the video how to calculate correlations, and visualize the result.\n", "\n", "In this exercise, we have provided you with the historical stock prices for Apple (```AAPL```), Amazon (```AMZN```), IBM (```IBM```), WalMart (```WMT```), and Exxon Mobile (```XOM```) for the last 4,000 trading days from July 2001 until the end of May 2017.\n", "\n", "You'll calculate the year-end returns, the pairwise correlations among all stocks, and visualize the result as an annotated heatmap." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "data = pd.read_csv('./dataset/5_stocks.csv', parse_dates=['Date'], index_col='Date')" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "DatetimeIndex: 4001 entries, 2001-07-05 to 2017-05-31\n", "Data columns (total 5 columns):\n", " # Column Non-Null Count Dtype \n", "--- ------ -------------- ----- \n", " 0 AAPL 4000 non-null float64\n", " 1 AMZN 4000 non-null float64\n", " 2 IBM 4000 non-null float64\n", " 3 WMT 4000 non-null float64\n", " 4 XOM 4000 non-null float64\n", "dtypes: float64(5)\n", "memory usage: 187.5 KB\n", "None\n", " AAPL AMZN IBM WMT XOM\n", "AAPL 1.000000 0.208731 0.460568 -0.183553 0.336413\n", "AMZN 0.208731 1.000000 0.346407 -0.367620 -0.133965\n", "IBM 0.460568 0.346407 1.000000 0.155445 0.367253\n", "WMT -0.183553 -0.367620 0.155445 1.000000 0.178833\n", "XOM 0.336413 -0.133965 0.367253 0.178833 1.000000\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Inspect data here\n", "print(data.info())\n", "\n", "# Calculate year-end prices here\n", "annual_prices = data.resample('A').last()\n", "\n", "# Calculate annual returns here\n", "annual_returns = annual_prices.pct_change()\n", "\n", "# Calculate and print the correlation matrix here\n", "correlations = annual_returns.corr()\n", "print(correlations)\n", "\n", "# Visualize the correlations as heatmap here\n", "sns.heatmap(correlations, annot=True);\n", "plt.savefig('../images/stock_heatmap.png')" ] } ], "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": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 4 }