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financial-data-analysis.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "financial-data-analysis.ipynb",
"provenance": [],
"collapsed_sections": [],
"authorship_tag": "ABX9TyM4pVG/FqjI4EbmVdP1dfFW",
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"language_info": {
"name": "python"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/Curt-Park/301e3c9f0d622c24153e720fcad95e10/financial-data-analysis.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "iNuzgc-DJ5Eq",
"outputId": "db99e1b4-4311-4d13-b747-534b184ffebd"
},
"source": [
"!pip install --upgrade pandas\n",
"!pip install --upgrade pandas-datareader\n",
"!pip install --upgrade mplfinance\n",
"# need to restart the kernel after install packages"
],
"execution_count": 1,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Requirement already satisfied: pandas in /usr/local/lib/python3.7/dist-packages (1.3.2)\n",
"Requirement already satisfied: python-dateutil>=2.7.3 in /usr/local/lib/python3.7/dist-packages (from pandas) (2.8.2)\n",
"Requirement already satisfied: numpy>=1.17.3 in /usr/local/lib/python3.7/dist-packages (from pandas) (1.19.5)\n",
"Requirement already satisfied: pytz>=2017.3 in /usr/local/lib/python3.7/dist-packages (from pandas) (2018.9)\n",
"Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.7/dist-packages (from python-dateutil>=2.7.3->pandas) (1.15.0)\n",
"Requirement already satisfied: pandas-datareader in /usr/local/lib/python3.7/dist-packages (0.10.0)\n",
"Requirement already satisfied: lxml in /usr/local/lib/python3.7/dist-packages (from pandas-datareader) (4.2.6)\n",
"Requirement already satisfied: requests>=2.19.0 in /usr/local/lib/python3.7/dist-packages (from pandas-datareader) (2.23.0)\n",
"Requirement already satisfied: pandas>=0.23 in /usr/local/lib/python3.7/dist-packages (from pandas-datareader) (1.3.2)\n",
"Requirement already satisfied: pytz>=2017.3 in /usr/local/lib/python3.7/dist-packages (from pandas>=0.23->pandas-datareader) (2018.9)\n",
"Requirement already satisfied: numpy>=1.17.3 in /usr/local/lib/python3.7/dist-packages (from pandas>=0.23->pandas-datareader) (1.19.5)\n",
"Requirement already satisfied: python-dateutil>=2.7.3 in /usr/local/lib/python3.7/dist-packages (from pandas>=0.23->pandas-datareader) (2.8.2)\n",
"Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.7/dist-packages (from python-dateutil>=2.7.3->pandas>=0.23->pandas-datareader) (1.15.0)\n",
"Requirement already satisfied: idna<3,>=2.5 in /usr/local/lib/python3.7/dist-packages (from requests>=2.19.0->pandas-datareader) (2.10)\n",
"Requirement already satisfied: chardet<4,>=3.0.2 in /usr/local/lib/python3.7/dist-packages (from requests>=2.19.0->pandas-datareader) (3.0.4)\n",
"Requirement already satisfied: certifi>=2017.4.17 in /usr/local/lib/python3.7/dist-packages (from requests>=2.19.0->pandas-datareader) (2021.5.30)\n",
"Requirement already satisfied: urllib3!=1.25.0,!=1.25.1,<1.26,>=1.21.1 in /usr/local/lib/python3.7/dist-packages (from requests>=2.19.0->pandas-datareader) (1.24.3)\n",
"Requirement already satisfied: mplfinance in /usr/local/lib/python3.7/dist-packages (0.12.7a17)\n",
"Requirement already satisfied: pandas in /usr/local/lib/python3.7/dist-packages (from mplfinance) (1.3.2)\n",
"Requirement already satisfied: matplotlib in /usr/local/lib/python3.7/dist-packages (from mplfinance) (3.2.2)\n",
"Requirement already satisfied: kiwisolver>=1.0.1 in /usr/local/lib/python3.7/dist-packages (from matplotlib->mplfinance) (1.3.1)\n",
"Requirement already satisfied: python-dateutil>=2.1 in /usr/local/lib/python3.7/dist-packages (from matplotlib->mplfinance) (2.8.2)\n",
"Requirement already satisfied: numpy>=1.11 in /usr/local/lib/python3.7/dist-packages (from matplotlib->mplfinance) (1.19.5)\n",
"Requirement already satisfied: cycler>=0.10 in /usr/local/lib/python3.7/dist-packages (from matplotlib->mplfinance) (0.10.0)\n",
"Requirement already satisfied: pyparsing!=2.0.4,!=2.1.2,!=2.1.6,>=2.0.1 in /usr/local/lib/python3.7/dist-packages (from matplotlib->mplfinance) (2.4.7)\n",
"Requirement already satisfied: six in /usr/local/lib/python3.7/dist-packages (from cycler>=0.10->matplotlib->mplfinance) (1.15.0)\n",
"Requirement already satisfied: pytz>=2017.3 in /usr/local/lib/python3.7/dist-packages (from pandas->mplfinance) (2018.9)\n"
]
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "-89zaH97H41h"
},
"source": [
"import datetime\n",
"import matplotlib.pyplot as plt\n",
"import mplfinance as mpf\n",
"import pandas as pd\n",
"import seaborn as sns\n",
"from pandas_datareader import data as pdr\n",
"from typing import List, Tuple"
],
"execution_count": 2,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "GVF-cQNSIZwH"
},
"source": [
"## Daily Percent Change.\n",
"\n",
"Calculate Daily Percent Change and show the histogram.\n",
"\n",
"If the histogram looks,\n",
"- zero-centered (leptokurtic distribution): the stock is stable.\n",
"- fat-tail: the stock is variable."
]
},
{
"cell_type": "code",
"metadata": {
"id": "zSSrWE6eH970"
},
"source": [
"def get_dpc(ticker: str, start: str) -> pd.DataFrame:\n",
" \"\"\"Calculate daily percent change.\"\"\"\n",
" prices = pdr.get_data_yahoo(ticker, start=start)\n",
" # Adj Close:\n",
" # the closing price after making adjustments for stock splits and dividends\n",
" dpc = prices[\"Adj Close\"].pct_change() * 100\n",
" dpc.values[0] = 0.0\n",
" return dpc\n",
"\n",
"\n",
"def plot_dpc_hist(ticker: str, start: str) -> None:\n",
" \"\"\"Get daily percent change and show it as a histogram.\"\"\"\n",
" dpc = get_dpc(ticker=ticker, start=start)\n",
"\n",
" plt.figure(figsize=(9, 7))\n",
" plt.xlabel(\"DPC\")\n",
" plt.ylabel(\"Frequency\")\n",
" plt.title(\"Histogram of Daily Percent Change\")\n",
" plt.hist(dpc, bins=18, label=ticker)\n",
" plt.legend(loc=\"best\")\n",
" plt.grid(True)\n",
" plt.show()\n",
" plt.close()"
],
"execution_count": 3,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 458
},
"id": "Ab2FectxICSB",
"outputId": "5111733d-729d-4569-b1df-8f3af2395819"
},
"source": [
"# show Samsung Electronics' dpc histogram\n",
"plot_dpc_hist(ticker=\"005930.KS\", start=\"2018-05-04\")"
],
"execution_count": 4,
"outputs": [
{
"output_type": "display_data",
"data": {
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\n",
"text/plain": [
"<Figure size 648x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "xfiEmUkdKRZU"
},
"source": [
"## Maximum Drawdown.\n",
"\n",
"A maximum drawdown (MDD) is the maximum observed loss over a specified time period.\n",
"Maximum drawdown is an indicator of downside risk.\n",
"\n",
"Formula:\n",
"$$\\begin{aligned}\n",
"&MDD(T) = \\frac{(L - P)}{P},\\\\\n",
"&\\text{where } P = \\text{Equity Peak High}, L = \\text{Equity Trough Low}.\n",
"\\end{aligned}$$"
]
},
{
"cell_type": "code",
"metadata": {
"id": "nalTFY8mIEjt"
},
"source": [
"# 250 is the number of approximate annual stock market trading days\n",
"def get_dd_mdd(\n",
" prices: pd.DataFrame, window: int = 250\n",
") -> Tuple[pd.DataFrame, pd.DataFrame]:\n",
" \"\"\"Calulate drawdown and maximum drawdown.\"\"\"\n",
" peak = prices[\"Adj Close\"].rolling(window, min_periods=1).max()\n",
" drawdown = prices[\"Adj Close\"] / peak - 1.0\n",
" max_dd = drawdown.rolling(window, min_periods=1).min()\n",
" return drawdown, max_dd\n",
"\n",
"\n",
"def plot_mdd(ticker: str, start: str) -> None:\n",
" \"\"\"Plot close prices & drawdown & maximum drawdown (annual basis).\"\"\"\n",
" prices = pdr.get_data_yahoo(ticker, start=start)\n",
" drawdown, max_dd = get_dd_mdd(prices)\n",
"\n",
" plt.figure(figsize=(9, 7))\n",
" plt.subplot(211)\n",
" prices[\"Adj Close\"].plot(label=ticker, grid=True, legend=True)\n",
" plt.subplot(212)\n",
" drawdown.plot(c=\"b\", label=f\"{ticker} DD\", grid=True, legend=True)\n",
" max_dd.plot(c=\"r\", label=f\"{ticker} MDD\", grid=True, legend=True)\n",
" plt.show()\n",
" plt.close()"
],
"execution_count": 5,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 416
},
"id": "AUpb6gtyKz6H",
"outputId": "c8253353-f2c2-4826-cd82-0675bd06b425"
},
"source": [
"# KOSPI's MDD\n",
"plot_mdd(\"^KS11\", \"1999\")"
],
"execution_count": 6,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 648x504 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "FJwfngiUK-pb"
},
"source": [
"## Rate of return.\n",
"\n",
"A rate of return (RoR) is the gain or loss of an investment over a specified time period,\n",
"expressed as a percentage of the investment's initial cost.\n",
"\n",
"Formula:\n",
"$$\\begin{aligned}\n",
"&R = \\frac{V_f - V_i}{V_i},\\\\\n",
"&\\text{where } R = \\text{return}, V_f = \\text{final value}, V_i = \\text{initial value}.\n",
"\\end{aligned}$$"
]
},
{
"cell_type": "code",
"metadata": {
"id": "AUimxKPZK1fQ"
},
"source": [
"def get_ror(ticker: str, start: str) -> pd.DataFrame:\n",
" \"\"\"Calculate rate of return.\"\"\"\n",
" prices = pdr.get_data_yahoo(ticker, start=start)\n",
" ror = (prices[\"Adj Close\"] / prices[\"Adj Close\"][0] - 1) * 100\n",
" return ror\n",
"\n",
"\n",
"def plot_ror(tickers: List[str], start: str) -> None:\n",
" \"\"\"Calculate and visualize rate of return.\"\"\"\n",
" plt.figure(figsize=(9, 7))\n",
" \n",
" for ticker in tickers:\n",
" ror = get_ror(ticker=ticker, start=start)\n",
" ror.plot(label=ticker, grid=True, legend=True)\n",
"\n",
" plt.ylabel(\"RoR %\")\n",
" plt.show()\n",
" plt.close()"
],
"execution_count": 7,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 424
},
"id": "E3U9kzOZLRQI",
"outputId": "8ae4390e-dc47-4995-859f-3cba865e4169"
},
"source": [
"# Samsung Eletronics vs Microsoft vs COSTCO\n",
"plot_ror(tickers=[\"005930.KS\", \"MSFT\", \"COST\"], start=\"2018\")"
],
"execution_count": 8,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 648x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "CC5mAoV4LoMO"
},
"source": [
"## Asset Correlations"
]
},
{
"cell_type": "code",
"metadata": {
"id": "KXK3c4fmLV6T"
},
"source": [
"def get_corr(tickers: List[str], start: str, dropna: bool = True) -> pd.DataFrame:\n",
" \"\"\"Get prices given tickers and start date.\"\"\"\n",
" prices = dict()\n",
" for ticker in tickers:\n",
" prices[ticker] = pdr.get_data_yahoo(ticker, start=start)[\"Adj Close\"]\n",
"\n",
" prices_df = pd.DataFrame(prices)\n",
" if dropna:\n",
" prices_df = prices_df.dropna() # drop NaN\n",
" else:\n",
" prices_df = prices_df.fillna(method=\"bfill\") # remove NaN with previous values\n",
" prices_df = prices_df.fillna(method=\"ffill\") # remove NaN with next values\n",
"\n",
" # calculate correlations\n",
" corr = prices_df.pct_change().corr()\n",
"\n",
" return corr\n",
"\n",
"\n",
"def plot_corr(corr: pd.DataFrame, size: int = 10) -> None:\n",
" \"\"\"Plot a graphical correlation matrix for each pair of columns in the dataframe.\"\"\"\n",
" plt.figure(figsize=(12, 10))\n",
" plt.figure(figsize=(size, size))\n",
" sns.heatmap(corr, annot=True, cmap=\"RdYlGn\", vmax=1.0, vmin=-1.0, linewidths=2.5)\n",
" plt.yticks(rotation=0)\n",
" plt.xticks(rotation=90)\n",
" plt.show()\n",
" plt.close()"
],
"execution_count": 9,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 636
},
"id": "4jXD0wO4LqVc",
"outputId": "fd96bf54-1cb2-4dfd-a6b1-45b359f7a401"
},
"source": [
"etfs = [\n",
" \"^KS11\", # KOSPI\n",
" \"SPY\", # S&P500\n",
" \"DIA\", # Dow Jones\n",
" \"QQQ\", # NASDAQ\n",
" \"VWO\", # Emerging Markets\n",
" \"GLD\", # Gold\n",
" \"BND\", # Vanguard Total Bond Market ETF\n",
" \"TLT\", # iShares 20+ Year Treasury Bond ETF\n",
" \"TIP\", # iShares TIPS Bond ETF\n",
" \"IEI\", # iShares 3-7 Year Treasury Bond ETF\n",
" \"SHY\", # iShares 1-3 Year Treasury Bond ETF\n",
"]\n",
"corr = get_corr(etfs, start=\"2007\")\n",
"plot_corr(corr)"
],
"execution_count": 10,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 864x720 with 0 Axes>"
]
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x720 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "C2ZaB4159vlk"
},
"source": [
"## Candle Chart"
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 493
},
"id": "1nnebvMu9wpv",
"outputId": "27d0446f-8234-4273-e653-62e760941eb2"
},
"source": [
"# get prices for recent 30 days\n",
"start = datetime.date.today() - datetime.timedelta(30)\n",
"prices = pdr.get_data_yahoo(\"^KS11\", start=start.strftime(\"%Y-%m-%d\"))\n",
"prices = prices[[\"Open\", \"High\", \"Low\", \"Close\", \"Volume\"]]\n",
"\n",
"# plot candle chart\n",
"style = mpf.make_mpf_style(\n",
" marketcolors=mpf.make_marketcolors(up=\"r\", down=\"b\", inherit=True)\n",
")\n",
"mpf.plot(prices.tail(100), type=\"candle\", volume=True, style=style)"
],
"execution_count": 11,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 800x575 with 4 Axes>"
]
},
"metadata": {}
}
]
}
]
}
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