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"source": [
"# Realized Volatility Models in the OpenBB SDK\n",
"\n",
"Within the Technical Analysis module, there are six models for calculating realized volatility. Let's have a look at each one."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"# Import statements\n",
"\n",
"import pandas as pd\n",
"from openbb_terminal.sdk import openbb"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## End Points\n",
"\n",
"The cones function is for the rolling quantiles, while the other functions return historical calculations over a specific window. The `cones` function applies a `for` loop over many windows, grouping the results into selectable quantiles.\n",
"\n",
"`windows = [3, 10, 30, 60, 90, 120, 150, 180, 210, 240, 300, 360]`\n",
"\n",
"`openbb.ta.cones()`\n",
"\n",
"`openbb.ta.rvol_garman_klass()`\n",
"\n",
"`openbb.ta.rvol_hodges_tompkins()`\n",
"\n",
"`openbb.ta.rvol_parkinson()`\n",
"\n",
"`openbb.ta_rvol_rogers_satchell()`\n",
"\n",
"`openbb.ta.rvol_std()`\n",
"\n",
"`openbb.ta.rvol_yang_zhang()`"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Collect Some Data\n",
"\n",
"One of the primary steps for most workflows is to capture historical price data. The most robust method is to use the `load` function from the `stocks` module. "
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
Loading Daily data for SPY with starting period 1993-01-29.\n",
"\n"
],
"text/plain": [
"Loading Daily data for SPY with starting period 1993-01-29.\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# This will obtain daily price data for the complete history of SPY. The start date only needs to be before the first trading day of SPY, no end date is required to obtain the full history.\n",
"\n",
"df = openbb.stocks.load(\"SPY\", start_date = '1990-01-01')"
]
},
{
"attachments": {},
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"metadata": {},
"source": [
"## Function Inputs and Parameters\n",
"\n",
"The primary input for each function is a Pandas DataFrame containing OHLC data. All other parameters have default settings which do not require additional user input. The `is_crypto` boolean provides an easy switch for the number of trading-days-per-year. 252 is the standard for equities and trad-fi, while `is_crypto = True` enforces 365.\n"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\u001b[0;31mSignature:\u001b[0m \n",
"\u001b[0mopenbb\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mta\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstandard_deviation\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m \u001b[0mdata\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mpandas\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcore\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mframe\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mDataFrame\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m \u001b[0mwindow\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mint\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m30\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m \u001b[0mtrading_periods\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mOptional\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mint\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m \u001b[0mis_crypto\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mbool\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;32mFalse\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m \u001b[0mclean\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mbool\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;32mTrue\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n",
"\u001b[0;34m\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m->\u001b[0m \u001b[0mpandas\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcore\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mframe\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mDataFrame\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mCall signature:\u001b[0m \u001b[0mopenbb\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mta\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstandard_deviation\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mAny\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mAny\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m->\u001b[0m \u001b[0mAny\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mType:\u001b[0m standard_deviation\n",
"\u001b[0;31mString form:\u001b[0m \n",
"\u001b[0;31mFile:\u001b[0m ~/GitHub/OpenBBTerminal/openbb_terminal/common/technical_analysis/volatility_model.py\n",
"\u001b[0;31mDocstring:\u001b[0m \n",
"Standard deviation measures how widely returns are dispersed from the average return.\n",
"It is the most common (and biased) estimator of volatility.\n",
"\n",
"Parameters\n",
"----------\n",
"data : pd.DataFrame\n",
" Dataframe of OHLC prices.\n",
"window : int [default: 30]\n",
" Length of window to calculate over.\n",
"trading_periods : Optional[int] [default: 252]\n",
" Number of trading periods in a year.\n",
"is_crypto : bool [default: False]\n",
" If true, trading_periods is defined as 365.\n",
"clean : bool [default: True]\n",
" Whether to clean the data or not by dropping NaN values.\n",
"\n",
"Returns\n",
"-------\n",
"pd.DataFrame : results\n",
" Dataframe with results.\n",
"\n",
"Example\n",
"-------\n",
">>> data = openbb.stocks.load('SPY')\n",
">>> df = openbb.ta.standard_deviation(data)"
]
}
],
"source": [
"openbb.ta.standard_deviation?"
]
},
{
"attachments": {},
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"source": [
"## Sample Outputs\n",
"\n",
"Let's take a look at what the expected outputs are. The data we have loaded already is the complete daily OHLC history of SPY. "
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Open | \n",
" High | \n",
" Low | \n",
" Close | \n",
" Adj Close | \n",
" Volume | \n",
" Dividends | \n",
" Stock Splits | \n",
"
\n",
" \n",
" | date | \n",
" | \n",
" | \n",
" | \n",
" | \n",
" | \n",
" | \n",
" | \n",
" | \n",
"
\n",
" \n",
" \n",
" \n",
" | 1993-01-29 | \n",
" 25.140198 | \n",
" 25.140198 | \n",
" 25.015122 | \n",
" 25.12233 | \n",
" 25.12233 | \n",
" 1003200 | \n",
" 0.0 | \n",
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\n",
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\n",
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"text/plain": [
" Open High Low Close Adj Close Volume \\\n",
"date \n",
"1993-01-29 25.140198 25.140198 25.015122 25.12233 25.12233 1003200 \n",
"\n",
" Dividends Stock Splits \n",
"date \n",
"1993-01-29 0.0 0.0 "
]
},
"execution_count": 5,
"metadata": {},
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],
"source": [
"df.head(1)"
]
},
{
"attachments": {},
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"source": [
"### Standard Deviation Model\n",
"\n",
"This model requires a minimum window of two trading periods, the default is thirty. The calculations, by default, are annualized over 252 trading-days-per-year. To change this behaviour:\n",
"\n",
"- `is_crypto = True` to annualize over 365 days.\n",
"- Enter an integer value for the `trading_periods` argument. "
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Error: Window must be at least 2, defaulting to 30.\n"
]
},
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"Error: Window must be at least 2, defaulting to 30.\n",
"is_crypto is overridden by trading_periods.\n"
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}
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"rvol = pd.concat([rvol, openbb.ta.rvol_std(df, window = 1, is_crypto = True, trading_periods = 365).rename(\"Trading Perdiod 365\")], axis = 1)\n",
"\n",
"openbb.forecast.plot(data = rvol, columns = rvol.columns)"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Comparing the Models Against Each Other\n",
"\n",
"The other models work in exactly the same way, let's compare them against each other. The default state for each model is a 30-day rolling window, annualized over 252 trading days."
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
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"rvol = pd.DataFrame()\n",
"rvol[\"STD Model\"] = openbb.ta.standard_deviation(df)\n",
"rvol[\"Parkinson\"] = openbb.ta.rvol_parkinson(df)\n",
"rvol[\"Hodges-Tompkins\"] = openbb.ta.rvol_hodges_tompkins(df)\n",
"rvol[\"Garman-Klass\"] = openbb.ta.rvol_garman_klass(df)\n",
"rvol[\"Rogers-Satchell\"] = openbb.ta.rvol_rogers_satchell(df)\n",
"rvol[\"Yang-Zhang\"] = openbb.ta.rvol_yang_zhang(df)\n",
"\n",
"openbb.forecast.plot(data = rvol[\"2021-06-01\":], columns = rvol.columns)"
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"source": [
"### Cones\n",
"\n",
"This function generates the realized volatility quantiles. There are two functions, one is for returning the DataFrame only, the other is for returning a chart.\n",
"\n",
"`openbb.ta.cones()`\n",
"\n",
"`openbb.ta.cones_chart()`\n",
"\n",
"For these functions, the lower and upper quantiles have been parameterized. Use the `lower_q` and `upper_q` arguments as a float between 0 and 1, representing the % value. The default model is standard deviation."
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\n",
" \n",
" \n",
" | \n",
" Realized | \n",
" Min | \n",
" Lower 25% | \n",
" Median | \n",
" Upper 75% | \n",
" Max | \n",
"
\n",
" \n",
" \n",
" \n",
" | 3 | \n",
" 0.067040 | \n",
" 0.000014 | \n",
" 0.064353 | \n",
" 0.112163 | \n",
" 0.186059 | \n",
" 1.919684 | \n",
"
\n",
" \n",
" | 10 | \n",
" 0.090820 | \n",
" 0.020060 | \n",
" 0.088717 | \n",
" 0.133404 | \n",
" 0.193792 | \n",
" 1.130634 | \n",
"
\n",
" \n",
" | 30 | \n",
" 0.133722 | \n",
" 0.035120 | \n",
" 0.101011 | \n",
" 0.137059 | \n",
" 0.199334 | \n",
" 0.864874 | \n",
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\n",
" \n",
" | 60 | \n",
" 0.120575 | \n",
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\n",
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\n",
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\n",
" \n",
" | 150 | \n",
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\n",
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\n",
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\n",
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" | 240 | \n",
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\n",
" \n",
" | 300 | \n",
" 0.096604 | \n",
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" 0.424524 | \n",
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\n",
" \n",
" | 360 | \n",
" 0.097728 | \n",
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\n",
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\n",
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" Realized Min Lower 25% Median Upper 75% Max\n",
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"title": {
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"source": [
"openbb.ta.cones_chart(\n",
" data = openbb.stocks.load('SPY'),\n",
" symbol = 'SPY',\n",
" model = 'Garman-Klass',\n",
" upper_q = 0.90,\n",
" lower_q = 0.10\n",
")"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Overlaying Against Implied Volatility.\n",
"\n",
"SPY is a good symbol to work with because there is an index that tracks the 30-day ('ish) IV of the OTM options, VIX. Using it as a proxy, we can compare historical implied versus realized volatility. Similarly to how the DataFrame was constructed to compare all the models together, we can make a little function with a symbol input."
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [],
"source": [
"from typing import Optional\n",
"\n",
"def rvol(data, window, trading_periods, is_crypto) -> pd.DataFrame:\n",
" \n",
" results = pd.DataFrame()\n",
"\n",
" results['Standard Deviation'] = openbb.ta.rvol_std(data, window, trading_periods, is_crypto)\n",
" results['Parkinson'] = openbb.ta.rvol_parkinson(data, window, trading_periods, is_crypto)\n",
" results['Hodges-Tompkins'] = openbb.ta.rvol_hodges_tompkins(data, window, trading_periods, is_crypto)\n",
" results['Garman-Klass'] = openbb.ta.rvol_garman_klass(data, window, trading_periods, is_crypto)\n",
" results['Rogers-Satchell'] = openbb.ta.rvol_rogers_satchell(data, window, trading_periods, is_crypto)\n",
" results['Yang-Zhang'] = openbb.ta.rvol_yang_zhang(data, window, trading_periods, is_crypto)\n",
" \n",
" return results\n",
"\n",
"\n",
"def realized_vol(symbol, window:Optional[int] = 30, trading_periods:Optional[int] = None, is_crypto:Optional[bool] = False) -> pd.DataFrame:\n",
" \n",
" rvol_df = rvol(openbb.stocks.load(f\"{symbol}\"), window, trading_periods, is_crypto)\n",
" \n",
" return rvol_df\n"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"Now all models can be returned in a single DataFrame, with a variable input for the symbol."
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"Loading Daily data for SPY with starting period 2020-05-19.\n",
"\n"
],
"text/plain": [
"Loading Daily data for SPY with starting period 2020-05-19.\n"
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},
"metadata": {},
"output_type": "display_data"
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"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Standard Deviation | \n",
" Parkinson | \n",
" Hodges-Tompkins | \n",
" Garman-Klass | \n",
" Rogers-Satchell | \n",
" Yang-Zhang | \n",
"
\n",
" \n",
" | date | \n",
" | \n",
" | \n",
" | \n",
" | \n",
" | \n",
" | \n",
"
\n",
" \n",
" \n",
" \n",
" | 2020-07-01 | \n",
" 0.259206 | \n",
" 0.187116 | \n",
" 0.270157 | \n",
" 0.182824 | \n",
" 0.186237 | \n",
" 0.274621 | \n",
"
\n",
" \n",
" | 2020-07-02 | \n",
" 0.255697 | \n",
" 0.188072 | \n",
" 0.266499 | \n",
" 0.183940 | \n",
" 0.187264 | \n",
" 0.274203 | \n",
"
\n",
" \n",
" | 2020-07-06 | \n",
" 0.257207 | \n",
" 0.186971 | \n",
" 0.268073 | \n",
" 0.182706 | \n",
" 0.186137 | \n",
" 0.276674 | \n",
"
\n",
" \n",
" | 2020-07-07 | \n",
" 0.259925 | \n",
" 0.187828 | \n",
" 0.270906 | \n",
" 0.183770 | \n",
" 0.187297 | \n",
" 0.278017 | \n",
"
\n",
" \n",
" | 2020-07-08 | \n",
" 0.258707 | \n",
" 0.184769 | \n",
" 0.269637 | \n",
" 0.180008 | \n",
" 0.182682 | \n",
" 0.267621 | \n",
"
\n",
" \n",
" | ... | \n",
" ... | \n",
" ... | \n",
" ... | \n",
" ... | \n",
" ... | \n",
" ... | \n",
"
\n",
" \n",
" | 2023-05-18 | \n",
" 0.127470 | \n",
" 0.097234 | \n",
" 0.132855 | \n",
" 0.095223 | \n",
" 0.096210 | \n",
" 0.120858 | \n",
"
\n",
" \n",
" | 2023-05-19 | \n",
" 0.127335 | \n",
" 0.096887 | \n",
" 0.132715 | \n",
" 0.095100 | \n",
" 0.096174 | \n",
" 0.120798 | \n",
"
\n",
" \n",
" | 2023-05-22 | \n",
" 0.127337 | \n",
" 0.096409 | \n",
" 0.132716 | \n",
" 0.095345 | \n",
" 0.096654 | \n",
" 0.119689 | \n",
"
\n",
" \n",
" | 2023-05-23 | \n",
" 0.132025 | \n",
" 0.098218 | \n",
" 0.137602 | \n",
" 0.097039 | \n",
" 0.098265 | \n",
" 0.122001 | \n",
"
\n",
" \n",
" | 2023-05-24 | \n",
" 0.133874 | \n",
" 0.096775 | \n",
" 0.139529 | \n",
" 0.096156 | \n",
" 0.097769 | \n",
" 0.121525 | \n",
"
\n",
" \n",
"
\n",
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730 rows × 6 columns
\n",
"
"
],
"text/plain": [
" Standard Deviation Parkinson Hodges-Tompkins Garman-Klass \\\n",
"date \n",
"2020-07-01 0.259206 0.187116 0.270157 0.182824 \n",
"2020-07-02 0.255697 0.188072 0.266499 0.183940 \n",
"2020-07-06 0.257207 0.186971 0.268073 0.182706 \n",
"2020-07-07 0.259925 0.187828 0.270906 0.183770 \n",
"2020-07-08 0.258707 0.184769 0.269637 0.180008 \n",
"... ... ... ... ... \n",
"2023-05-18 0.127470 0.097234 0.132855 0.095223 \n",
"2023-05-19 0.127335 0.096887 0.132715 0.095100 \n",
"2023-05-22 0.127337 0.096409 0.132716 0.095345 \n",
"2023-05-23 0.132025 0.098218 0.137602 0.097039 \n",
"2023-05-24 0.133874 0.096775 0.139529 0.096156 \n",
"\n",
" Rogers-Satchell Yang-Zhang \n",
"date \n",
"2020-07-01 0.186237 0.274621 \n",
"2020-07-02 0.187264 0.274203 \n",
"2020-07-06 0.186137 0.276674 \n",
"2020-07-07 0.187297 0.278017 \n",
"2020-07-08 0.182682 0.267621 \n",
"... ... ... \n",
"2023-05-18 0.096210 0.120858 \n",
"2023-05-19 0.096174 0.120798 \n",
"2023-05-22 0.096654 0.119689 \n",
"2023-05-23 0.098265 0.122001 \n",
"2023-05-24 0.097769 0.121525 \n",
"\n",
"[730 rows x 6 columns]"
]
},
"execution_count": 46,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data = realized_vol(\"SPY\")\n",
"\n",
"data"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"Now let's add a column to the DataFrame for VIX and then plot them!"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"Loading Daily data for ^VIX with starting period 2020-05-19.\n",
"\n"
],
"text/plain": [
"Loading Daily data for ^VIX with starting period 2020-05-19.\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data[\"VIX\"] = openbb.stocks.load(\"^VIX\")[\"Adj Close\"].rename(\"VIX\")/100"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {},
"outputs": [],
"source": [
"fig = openbb.forecast.plot(data, columns = data.columns, external_axes = True)"
]
},
{
"cell_type": "code",
"execution_count": 61,
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" {\n",
" 'title': 'SPY - 30-Day Realized vs. Implied Volatility',\n",
" 'title_y':0.95,\n",
" 'title_x':0.5,\n",
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"source": [
"Experiment in combination with other functions, like the forecast models. "
]
},
{
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"execution_count": 87,
"metadata": {},
"outputs": [],
"source": [
"%%capture\n",
"fig = openbb.forecast.nbeats_chart(\n",
" data = data, \n",
" target_column = \"VIX\",\n",
" past_covariates = \"Standard Deviation,Parkinson,Hodges-Tompkins,Rogers-Satchell,Yang-Zhang\",\n",
" forecast_only = True,\n",
" external_axes = True\n",
")"
]
},
{
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"execution_count": 88,
"metadata": {},
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