Topic - Bayesian statistics to carry out Stock return analysis in python. Please use the data.csv instead of using Quandl. - files submitted in zipped format.

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Topic - Bayesian statistics to carry out Stock return analysis in python. Please use the data.csv instead of using Quandl. - files submitted in zipped format.
Answered Same DayNov 15, 2021

Answer To: Topic - Bayesian statistics to carry out Stock return analysis in python. Please use the data.csv...

Kshitij answered on Nov 19 2021
153 Votes
assignment5/.ipynb_checkpoints/Assignment-5(Stock)-checkpoint.ipynb
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Assignment 5"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"This assignment is based on Bayesian statistics to carry out Stock return analysis."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Learning outcomes"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- Bayesian analysis for stock return data\n",
"- Build models for different distributions of data\n",
"- Compare models"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In this assignment, you will use the Baysesian approach for analysis of stock return data.\n",
"In particular, you will model the data as a normal distribution and will estimate distribution parameters using Markov chain Monte Carlo technique (MCMC).\n",
"\n",
"The MCMC sampler draws parameter values from the prior distribution and computes the likelihood that the observed data came from a distribution with these parameter values.\n",
"It is recommended to use PyMC library for these computations; PyMC is a Python library for Bayesian analysis."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"__NOTE__: The 'data.csv' file included with the assignment contains the data.\n",
"The data were downloaded from Quandl, the code used to download data and calculate daily return is provided. \n",
"Use that file instead if you aren't able to read the data, or if you have reached the limit for calls to the API.\n",
"\n",
"__Getting data from Quandl__ \n",
"To download stock data from Quandl you should create an account for quandl (https://www.quandl.com/).\n",
"\n",
"Quandl is a platform for financial, economic, and alternative data that serves investment professionals. Quandl sources data from over 500 publishers. All Quandl's data are accessible via an API. API access is possible through packages for multiple programming languages including R, Python."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Required imports for this project are given below. Make sure you have all libraries required for this project installed. You may use _conda_ or _pip_ based on your set up.\n"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"#required imports\n",
"\n",
"import json\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import pandas as pd\n",
"import pymc3 as pm\n",
"import scipy\n",
"import scipy.stats as stats\n",
"import statsmodels.api as sm\n",
"import theano.tensor as tt\n",
"import seaborn as sns\n",
"from datetime import datetime\n",
"\n",
"## Get the data:\n",
"pd.core.common.is_list_like = pd.api.types.is_list_like # resolves datareader error\n",
"from pandas_datareader import data\n",
"# For all libraries please install the necessary libraries \n",
"#If the above fails, you might need to do something like this:\n",
"#This is to show how you install pandas-datareader, you might need to do this for all libraries\n",
"#conda install pandas-datareader\n",
"#or\n",
"#pip install pandas-datareader\n",
"#Depending on your setup\n",
"\n",
"from IPython.display import Image\n",
"from datetime import datetime\n",
"%matplotlib inline"
]
},
{
"attachments": {
"image.png": {
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}
},
"cell_type": "markdown",
"metadata": {},
"source": [
"After installing the necessary libraries, we will proceed to download the data.\n",
"You might have to set an environment variable for pymc3 package. \n",
"You can do this by \n",
"For linux:\n",
"export mkl_threading_layer=gnu or set this in your bashrc file.\n",
"\n",
"For windows:\n",
"Add it in your environment variables\n",
"\n",
"![image.png](attachment:image.png)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Returns\n",
"Extract historical data for Apple (AAPL) [2015 - 2016], calculate daily returns, and estimate the mean daily return. Remove NaN from dataset. Plot histogram of daily returns.\n",
"\n",
"Use code below to download data.\n",
"\n",
"For this you will need to install the library quandl: \n",
"conda install -c anaconda quandl\n",
"\n",
"You will also need an API Key that is generated when you create an account. "
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"data = pd.read_csv('/kaggle/input/data.csv')"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(504, 13)"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.shape"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
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"
DateOpenHighLowCloseVolumeEx-DividendSplit RatioAdj. OpenAdj. HighAdj. LowAdj. CloseAdj. Volume
02015-01-02111.39111.44107.350109.3353204626.00.01.0105.820966105.868466101.982949103.86395753204626.0
12015-01-05108.29108.65105.410106.2564285491.00.01.0102.875953103.217954100.139941100.93794464285491.0
22015-01-06106.54107.43104.630106.2665797116.00.01.0101.213446102.05894999.398938100.94744465797116.0
32015-01-07107.20108.20106.695107.7540105934.00.01.0101.840448102.790453101.360696102.36295140105934.0
42015-01-08109.23112.15108.700111.8959364547.00.01.0103.768957106.542969103.265455106.29596859364547.0
\n",
"
"
],
"text/plain": [
" Date Open High Low Close Volume Ex-Dividend \\\n",
"0 2015-01-02 111.39 111.44 107.350 109.33 53204626.0 0.0 \n",
"1 2015-01-05 108.29 108.65 105.410 106.25 64285491.0 0.0 \n",
"2 2015-01-06 106.54 107.43 104.630 106.26 65797116.0 0.0 \n",
"3 2015-01-07 107.20 108.20 106.695 107.75 40105934.0 0.0 \n",
"4 2015-01-08 109.23 112.15 108.700 111.89 59364547.0 0.0 \n",
"\n",
" Split Ratio Adj. Open Adj. High Adj. Low Adj. Close Adj. Volume \n",
"0 1.0 105.820966 105.868466 101.982949 103.863957 53204626.0 \n",
"1 1.0 102.875953 103.217954 100.139941 100.937944 64285491.0 \n",
"2 1.0 101.213446 102.058949 99.398938 100.947444 65797116.0 \n",
"3 1.0 101.840448 102.790453 101.360696 102.362951 40105934.0 \n",
"4 1.0 103.768957 106.542969 103.265455 106.295968 59364547.0 "
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.head()"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"returns = data['Adj. Close'].pct_change()\n",
"returns = returns.dropna()*100"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"# !pip install quandl\n",
"# import quandl\n",
"# quandl.ApiConfig.api_key = '4XWVLg3qR7xBfGT4PF3i'\n",
"\n",
"# data= quandl.get('WIKI/AAPL', start_date='2015-1-1', end_date='2016-12-31')\n",
"# print(type(data))\n",
"\n",
"# data.to_csv('data.csv')\n",
"\n",
"# returns=data['Adj. Close'].pct_change()\n",
"\n",
"# returns = returns.dropna()*100"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Question 1\n",
"\n",
"1. Plot the returns and draw a histogram to see the distribution\n"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'Daily returns in %')"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# YOUR CODE HERE\n",
"returns.plot(figsize=(10, 6))\n",
"plt.ylabel('Daily returns in %')"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# YOUR CODE HERE\n",
"plt.hist(returns)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In the cell below, the model for daily return simulations is shown. Since the daily returns histogram shows bell-shaped distribution, the normal distribution is used for likelihood computation.\n",
"\n",
"This model uses un-informative priors - Uniform distribution for both parameters of the notmal distribution (\"mu\" and 'sigma\")."
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"logp = -969.97, ||grad|| = 483.7: 100%|รขย–ยˆรขย–ยˆรขย–ยˆรขย–ยˆรขย–ยˆรขย–ยˆรขย–ยˆรขย–ยˆรขย–ยˆรขย–ยˆ| 37/37 [00:00<00:00, 1850.95it/s] \n",
"Sampling 3 chains, 0 divergences: 100%|รขย–ยˆรขย–ยˆรขย–ยˆรขย–ยˆรขย–ยˆรขย–ยˆรขย–ยˆรขย–ยˆรขย–ยˆรขย–ยˆ| 31500/31500 [00:08<00:00, 3705.55draws/s]\n"
]
}
],
"source": [
"with pm.Model() as model_n:\n",
" #Prior\n",
" mu = pm.Uniform(\"mu\", lower=-10, upper=10, testval=0)\n",
" sigma = pm.Uniform(\"sigma\", lower=0, upper=6, testval=0.0001)\n",
" \n",
" #Likelihood\n",
" likelihood = pm.Normal(\"likelihood\", mu=mu, sd=sigma, observed = returns.values)\n",
" \n",
" #Posterior\n",
" start = pm.find_MAP()\n",
" step = pm.Metropolis()\n",
" trace = pm.sample(10000, chains=3, step=step, start=start, progressbar=True)\n",
" burned_trace = trace[3000::2]"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[,\n",
"],\n",
" [,\n",
"]],\n",
" dtype=object)"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"pm.traceplot(burned_trace)"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([,\n",
"],\n",
" dtype=object)"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"pm.plot_posterior(burned_trace)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Question 2\n",
"\n",
"Improve the model for daily returns given above.\n",
"Choose different prior distributions for parameters of the likelihood distribution - Mean $\\mu$ and Standard Deviation $\\sigma$.\n",
"\n",
"To tune the model, try several different distributions with various spread/dispersion values (for example, Uniform, Normal, HalfNormal) for priors, and different numbers of samples.\n",
"By inspecting posterior distribution of parameters, pick the value that produces the smoothest, most convergent chains. \n",
"\n",
"Present posterior distribution graphically. "
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling 4 chains, 0 divergences: 100%|รขย–ยˆรขย–ยˆรขย–ยˆรขย–ยˆรขย–ยˆรขย–ยˆรขย–ยˆรขย–ยˆรขย–ยˆรขย–ยˆ| 42000/42000 [00:21<00:00, 1916.35draws/s]\n"
]
}
],
"source": [
"# YOUR CODE HERE\n",
"with pm.Model() as model_2:\n",
" #Prior\n",
" mu = pm.Uniform('mu', lower=-10, upper=10, testval=0)\n",
" sigma = pm.HalfNormal('sigma', 10, testval=5)\n",
"\n",
" #Likelihood\n",
" likelihood = pm.Normal('likelihood', mu, sigma, observed=returns)\n",
" \n",
" #Posterior\n",
" trace = pm.sample(10000, chains=4, step=pm.NUTS(), progressbar=True)"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[,\n",
"],\n",
" [,\n",
"]],\n",
" dtype=object)"
]
},
"execution_count": 41,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png":...
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