{ "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": [ "# Download data and print some stats\n", "\n", "df = web.get_data_yahoo([symbol], start=start_date)\n", "df['ret'] = df['Adj Close'].pct_change()\n", "df['Adj Close'].plot()" ] }, { "cell_type": "code", "execution_count": 4, "id": "97ea52ea-2f30-479e-b9ae-e434c5b69a7e", "metadata": {}, "outputs": [ { "data": { "text/html": [ "

Performance Metrics

" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ " Strategy\n", "------------------ ----------\n", "Start Period 2016-01-04\n", "End Period 2023-01-26\n", "Risk-Free Rate 0.0%\n", "Time in Market 100.0%\n", "\n", "Cumulative Return 491.09%\n", "CAGR﹪ 28.59%\n", "\n", "Sharpe 0.98\n", "Prob. Sharpe Ratio 99.53%\n", "Sortino 1.44\n", "Sortino/√2 1.02\n", "Omega 1.2\n", "\n", "Max Drawdown -38.52%\n", "Longest DD Days 387\n", "\n", "Gain/Pain Ratio 0.2\n", "Gain/Pain (1M) 1.02\n", "\n", "Payoff Ratio 1.04\n", "Profit Factor 1.2\n", "Common Sense Ratio 1.18\n", "CPC Index 0.67\n", "Tail Ratio 0.98\n", "Outlier Win Ratio 3.85\n", "Outlier Loss Ratio 4.01\n", "\n", "MTD 9.69%\n", "3M -6.29%\n", "6M -6.54%\n", "YTD 9.69%\n", "1Y -10.28%\n", "3Y (ann.) 27.14%\n", "5Y (ann.) 28.27%\n", "10Y (ann.) 28.59%\n", "All-time (ann.) 28.59%\n", "\n", "Avg. Drawdown -4.17%\n", "Avg. Drawdown Days 26\n", "Recovery Factor 12.75\n", "Ulcer Index 0.12\n", "Serenity Index 3.77\n" ] }, { "data": { "text/html": [ "

Strategy Visualization

" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "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": [ "pd.DataFrame({\n", " 'sharpe': sharpe,\n", " 'returns': returns\n", "}).plot(subplots=True)" ] }, { "cell_type": "markdown", "id": "07b3726c-8673-466e-9e6a-7deafc572e07", "metadata": {}, "source": [ "Now we could plot the drawdowns distribution" ] }, { "cell_type": "code", "execution_count": 9, "id": "9a739fcc-e547-4a08-8934-9018b35d009d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Maximum expected drawdown is -66.83% and Minimum expected drawdown=-23.59%\n" ] }, { "data": { "text/plain": [ "Text(0.5, 1.0, 'Drawdowns distribution')" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "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": { "image/png": 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\n", 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" ] }, "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 = sampled_prices(start_value, daily_returns, index)\n", " s.plot()\n" ] }, { "cell_type": "code", "execution_count": 13, "id": "c2cfb809-5215-4f23-adb8-94096d6b3daf", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 3.77 s, sys: 11.3 ms, total: 3.78 s\n", "Wall time: 3.81 s\n" ] } ], "source": [ "%%time\n", "sharpe = []\n", "returns = []\n", "drawdowns = []\n", "\n", "for i in range(num_simulations):\n", " s = sampled_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": "code", "execution_count": 14, "id": "fb2733b2-4178-4a93-9b71-5e9def928cd6", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[Text(0.5, 1.0, 'Drawdown Distribution')]" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "fig, axes = plt.subplots(1, 2, figsize=(10,6))\n", "sns.histplot(returns, ax=axes[0]).set(title='Returns Distribution')\n", "sns.histplot(drawdowns, ax=axes[1]).set(title='Drawdown Distribution')" ] }, { "cell_type": "code", "execution_count": 15, "id": "184da9fd-08e2-4da5-90c8-780e85101eda", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Maximum expected drawdown is -81.87% and Minimum expected drawdown= -19.37%\n", "Maximum expected returns is 7118.02% and Minimum expected returns = -70.14%\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.histplot(sharpe).set(title='Sharpe Ratio distribution')\n", "print(f\"Maximum expected drawdown is {min(drawdowns)*100 :.2f}% and Minimum expected drawdown= {max(drawdowns)*100 :.2f}%\")\n", "print(f\"Maximum expected returns is {max(returns)*100 :.2f}% and Minimum expected returns = {min(returns)*100 :.2f}%\")" ] }, { "cell_type": "code", "execution_count": 16, "id": "c103c2aa-d490-4c2c-b349-d02aa579a1dc", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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returnsdrawdownsharpe
count1000.0000001000.0000001000.000000
mean7.065627-0.4129850.972503
std7.4267930.1048110.388797
min-0.701385-0.818685-0.393827
25%2.245840-0.4792730.707935
50%4.879541-0.4031310.979291
75%9.276520-0.3340501.246753
max71.180200-0.1936792.147071
\n", "
" ], "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, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pd.DataFrame({\n", " 'returns': returns,\n", " 'drawdown': drawdowns,\n", " 'sharpe': sharpe\n", "}).describe()" ] }, { "cell_type": "markdown", "id": "5c470285-a957-47cb-b22b-be427e25b99f", "metadata": {}, "source": [ "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", "metadata": {}, "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" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.2" }, "nikola": { "date": "2022-12-15 19:52:05 UTC", "slug": "stock-returns-and-risk-metrics", "tags": "risk, drawdown", "title": "Stock returns and Risk metrics" } }, "nbformat": 4, "nbformat_minor": 5 }