{
"cells": [
{
"cell_type": "markdown",
"id": "2b3027a4-4a12-475f-860c-93fa86df57e1",
"metadata": {},
"source": [
"## Stock returns and risk estimation\n",
"\n",
"One of the common methods to estimate risk is **drawdown**. Drawdown[1](#fn1) is the difference between the high and a subsequent low before it goes above the high. Underwater period is the period between the high and the time taken to reach the next high. \n",
"\n",
"Though it is one of the common methods to measure risk, it takes the exact historical path taken by the stock returns. Even optimistically assuming that the stock returns would reflect historical returns[2](#fn2), it may not take the same path as it took previously.\n",
"\n",
"Let us look at some data and do some simulations."
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "b5fc4a71-114e-4698-be85-ec65d95e1272",
"metadata": {},
"outputs": [],
"source": [
"# Necessary imports\n",
"\n",
"import pandas_datareader.data as web\n",
"import pandas as pd\n",
"import numpy as np\n",
"import random\n",
"import yfinance as yf\n",
"import quantstats as qs\n",
"import empyrical as ep # For faster processing of portfolio stats and metrics\n",
"yf.pdr_override() # Fix to make pandas_datareader work properly in latest version\n",
"import seaborn as sns\n",
"sns.set()\n"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "459dda12-c307-4256-ac4b-888e2a59a5b4",
"metadata": {
"tags": [
"parameters"
]
},
"outputs": [],
"source": [
"# parameters - change the parameters here and run the notebook again\n",
"\n",
"symbol:str = 'AAPL'\n",
"start_date:str = '2016-01-04'\n",
"num_simulations:int = 1000 # number of simulations to run"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "7f2b766c-a9ff-4e92-a70f-8a75aa0bae1d",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[*********************100%***********************] 1 of 1 completed\n"
]
},
{
"data": {
"text/plain": [
""
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"qs.reports.basic(df['Adj Close'])"
]
},
{
"cell_type": "markdown",
"id": "80d8f2a3-6873-4b4d-a51f-49cc63adc9b1",
"metadata": {},
"source": [
"### Shuffled drawdown\n",
"\n",
"\n",
"When we look at stock returns, we look at the specific path taken by the stock to reach the current level. But the stock would have taken any path to reach the current level. We can think of this as a route to reach some destination. There could be multiple routes to reach the destination and each route can be different. \n",
"\n",
"We would create a `shuffled_prices` function that shuffles the daily returns and gives a new price series. Note that the starting and ending value would be the same since the source and destination are the same, only the routes differ."
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "37612320-e616-4116-b4b1-37b78b64c6da",
"metadata": {},
"outputs": [],
"source": [
"def shuffled_prices(start_price, returns, index):\n",
" np.random.shuffle(returns)\n",
" s = start_price*(1+returns).cumprod()\n",
" prices = np.hstack([start_price, s]) # To always match the first value\n",
" return pd.Series(prices, index=index)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "4edeed77-83f0-48de-824b-b5c493bb80ed",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"daily_returns = df.dropna()['ret'].values\n",
"start_value = df.iloc[0]['Adj Close']\n",
"index = df.index\n",
"df['Adj Close'].plot(figsize=(10,6))\n",
"for i in range(5):\n",
" s = shuffled_prices(start_value, daily_returns, index)\n",
" s.plot()\n"
]
},
{
"cell_type": "markdown",
"id": "9be7dab5-d3a3-4bfa-9466-914ed015471b",
"metadata": {},
"source": [
"Let us simulate 1000 different paths and look at the drawdown distribution.\n"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "33c8db2a-fce6-46fb-993b-52693546b35d",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 4.33 s, sys: 4.77 ms, total: 4.34 s\n",
"Wall time: 4.34 s\n"
]
}
],
"source": [
"%%time\n",
"sharpe = []\n",
"returns = []\n",
"drawdowns = []\n",
"\n",
"for i in range(num_simulations):\n",
" s = shuffled_prices(start_value, daily_returns, index)\n",
" rets = s.pct_change()\n",
" sharpe.append(ep.sharpe_ratio(rets))\n",
" returns.append(ep.cum_returns_final(rets))\n",
" drawdowns.append(ep.max_drawdown(rets))\n"
]
},
{
"cell_type": "markdown",
"id": "827bd506-9a19-472c-94ff-fb2df119ea21",
"metadata": {},
"source": [
"The returns and sharpe ratio must be the same since we are only shuffling the returns\n",
"\n",
"Let us check and confirm its fine"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "a0702bdb-0af3-4af6-ad9c-a3fb7847c876",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"array([, ], dtype=object)"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dds = pd.Series(drawdowns)\n",
"print(f\"Maximum expected drawdown is {dds.min()*100 :.2f}% and Minimum expected drawdown={dds.max()*100 :.2f}%\")\n",
"sns.histplot(dds).set_title('Drawdowns distribution')"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "401414a6-dee8-4769-86cd-20c6935c5c65",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"count 1000.000000\n",
"mean -0.401853\n",
"std 0.075064\n",
"min -0.668313\n",
"25% -0.451122\n",
"50% -0.392851\n",
"75% -0.346064\n",
"max -0.235889\n",
"dtype: float64"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dds.describe()"
]
},
{
"cell_type": "markdown",
"id": "5e240b4f-3bed-41ea-a5af-86beca97b9ac",
"metadata": {},
"source": [
"Despite the same returns and the same sharpe ratio, we could see a wide variation in the drawdown percentages. I have purposefully not set `random.seed` so that it throws different results each time. I ran this experiment with a `seed of 1000`\n",
"\n",
"You could see drawdowns in excess of 50% a lot of time. Half of the times, the drawdown exceeded the historical drawdown. This is expected since the historical returns is just one route in which we arrived at the present returns. The worst possible case is around 60% which is way off the 38% but it still produced the same returns with the same volatility.\n",
"\n",
"This could be tried with different stocks and different periods and also different number of simulations. The more the volatility and the more the number of simulations, you could expect the drawdown distribution to be more volatile. \n",
"\n",
"
\n",
"Always look at drawdown distributions when estimating risk with drawdown\n",
"
"
]
},
{
"cell_type": "markdown",
"id": "3ec456d3-e8b3-462f-9aac-b8beafa85bc1",
"metadata": {},
"source": [
"### Sampled drawdown\n",
"\n",
"The second way to estimate drawdowns is to assume the distribution of returns would persist in the future and then try to simulate how the returns would behave if randomly sampled from this distribution.\n",
"\n",
"To do this, we could randomly sample returns with replacement and then try to estimate the stock returns. This could give us an estimate of how given the same distribution of returns, how the stock price would have changed. We create a function `sampled_prices` that draws randomly with replacement from the given stock returns. \n",
"\n",
"We would be repeating the same process for what we did with shuffled drawdown\n",
"\n",
"Note since we are sampling with replacement, all metrics would change."
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "3ff0d0fa-7080-488a-ad25-863ef0e657c1",
"metadata": {},
"outputs": [],
"source": [
"def sampled_prices(start_price, returns, index):\n",
" rets = np.random.choice(returns, size=len(returns))\n",
" s = start_price*(1+rets).cumprod()\n",
" prices = np.hstack([start_price, s]) # To always match the first value\n",
" return pd.Series(prices, index=index)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "0dd27d80-c698-4160-9675-114538de5cc4",
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"
"
],
"text/plain": [
" returns drawdown sharpe\n",
"count 1000.000000 1000.000000 1000.000000\n",
"mean 7.065627 -0.412985 0.972503\n",
"std 7.426793 0.104811 0.388797\n",
"min -0.701385 -0.818685 -0.393827\n",
"25% 2.245840 -0.479273 0.707935\n",
"50% 4.879541 -0.403131 0.979291\n",
"75% 9.276520 -0.334050 1.246753\n",
"max 71.180200 -0.193679 2.147071"
]
},
"execution_count": 16,
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"source": [
"pd.DataFrame({\n",
" 'returns': returns,\n",
" 'drawdown': drawdowns,\n",
" 'sharpe': sharpe\n",
"}).describe()"
]
},
{
"cell_type": "markdown",
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"We can see the returns all over the place though the drawdown behaves more or less the same compared to the previous simulation based on shuffling returns. Even with a stock like Apple you could see how the returns could be very minimal even though everything is based on the same underlying distribution of returns. If you are lucky enough, you could end up on the other side where you could have easily got more than 1000% returns and looked like a rockstar.\n",
"\n",
"We could appreciate this quote from Keynes\n",
"\n",
"> Markets can stay irrational longer than you can stay solvent\n",
"\n",
"Bottom line\n",
"-----------\n",
"\n",
"
\n",
" Using drawdown as a sole criteria for estimating risk is not so advisable\n",
"
\n",
"\n",
"
\n",
" Volatility does play an important role in estimating future returns\n",
"
"
]
},
{
"cell_type": "markdown",
"id": "c0024816-d529-4d07-ab26-0732fb3a369e",
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"source": [
"Footnotes\n",
"----------\n",
"\n",
"1. A better and detailed explanation on [drawdown](https://www.investopedia.com/terms/d/drawdown.asp) could be found at investopedia \n",
"2. Future returns may or may not reflect historical returns. Most of the times for individual stocks, it may not and might depend upon a lot of factors \n"
]
}
],
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"nikola": {
"date": "2022-12-15 19:52:05 UTC",
"slug": "stock-returns-and-risk-metrics",
"tags": "risk, drawdown",
"title": "Stock returns and Risk metrics"
}
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