{ "cells": [ { "cell_type": "markdown", "id": "f2631573", "metadata": {}, "source": [ "# Unit root test and Hurst exponent\n", "\n", "" ] }, { "cell_type": "markdown", "id": "b1359e9e", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Overview\n", "\n", "- We will first recap and provide more details about some concepts we saw in the previous lectures.\n", "- Then, we will introduce new analytics tools and some of their application in financial applications." ] }, { "cell_type": "markdown", "id": "29644aac", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- The content of the lecture is organized as follows:\n", " 1. Small recap.\n", " 2. Unit root test.\n", " 3. Mean reversion.\n", " 4. Hurst Exponent.\n", " 5. Geometric Brownian motion." ] }, { "cell_type": "code", "execution_count": 1, "id": "876fd91c", "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "# Imports\n", "import warnings\n", "warnings.simplefilter(action=\"ignore\", category=(FutureWarning, DeprecationWarning))\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "from statsmodels.tsa.stattools import adfuller\n", "import yfinance as yf\n", "np.random.seed(0) # For reproducible results" ] }, { "cell_type": "markdown", "id": "0dc2b59e", "metadata": {}, "source": [ "---" ] }, { "cell_type": "markdown", "id": "1bab131c", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Small recap\n", "\n", "- We've covered lots of material in the previous lessons. \n", "- Now is a good time to step back and rehash what we've covered." ] }, { "cell_type": "markdown", "id": "64b73418", "metadata": { "cell_style": "split", "slideshow": { "slide_type": "subslide" } }, "source": [ "### Decomposition\n", "\n", "- Time series data can be decomposed into trend, seasonal, and random fluctuation components.\n", "\n", "**Trends**\n", "- Increasing.\n", "- Decreasing.\n", "- Flat.\n", "- Larger trends can be made up of smaller trends.\n", "- There is no defined timeframe for what constitutes a trend: it depends on your data and task at hand." ] }, { "cell_type": "markdown", "id": "6da354bd", "metadata": { "cell_style": "split", "slideshow": { "slide_type": "fragment" } }, "source": [ "**Seasonal effects**\n", "- Weekend retail sales spikes.\n", "- Holiday shopping.\n", "- Energy requirement changes with annual weather patterns." ] }, { "cell_type": "markdown", "id": "dcfd6356", "metadata": { "cell_style": "split", "slideshow": { "slide_type": "fragment" } }, "source": [ "**Random Fluctuations**\n", "- The human element.\n", "- Aggregations of small influencers.\n", "- Observation errors.\n", "- The smaller this is in relation to trend and seasonal components, the better we can predict the future." ] }, { "cell_type": "markdown", "id": "7d0cd99b", "metadata": { "cell_style": "split", "slideshow": { "slide_type": "subslide" } }, "source": [ "### Additive vs Multiplicative\n", "\n", "- Time series models can fall into two categories:\n", "\n", "**Additive**\n", "- Data = Trend + Seasonal + Random.\n", "- If our seasonality and fluctuations are stable, we likely have an additive model." ] }, { "cell_type": "markdown", "id": "7105c7ce", "metadata": { "cell_style": "split", "run_control": { "marked": true }, "slideshow": { "slide_type": "fragment" } }, "source": [ "**Multiplicative**\n", "- Data = Trend $\\times$ Seasonal $\\times$ Random.\n", "- As easy to fit as Additive if we take the log: ``log(Data) = log(Trend + Seasonal + Random)``.\n", "- Use multiplicative models if:\n", " - the amplitude in seasonal and random fluctuations grows with the trend,\n", " - the percentage change of our data is more important than the absolute value change (e.g. stocks, commodities)." ] }, { "cell_type": "markdown", "id": "83d046de", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Stationarity\n", "\n", "A time series is stationary if:\n", "\n", "- The mean of the series is constant.\n", "- The variance does not change over time (homoscedasticity).\n", "- The covariance is not a function of time.\n", "\n", "" ] }, { "cell_type": "markdown", "id": "f84c01af", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Detect non-stationarity\n", "\n", "- Make a run-sequence plot." ] }, { "cell_type": "markdown", "id": "879a4919", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "- Rolling statistics:\n", " - Compute and plot rolling statistics such as moving average/variance on chunks of data.\n", " - Check if the statistics change over time. \n", " - This technique can be done on different windows (small windows are noisy, large windows too conservative)." ] }, { "cell_type": "markdown", "id": "819d2912", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "- Histogram of time series:\n", " - Does it look normal? $\\rightarrow$ stationary.\n", " - Does it look non-normal (e.g., uniform)? $\\rightarrow$ non-stationary." ] }, { "cell_type": "markdown", "id": "b4b7617b", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "- Augmented Dickey-Fuller (ADF) test:\n", " - Statistical tests for checking stationarity. \n", " - The null hypothesis $H_0$ is that the time series is non-stationary. \n", " - If the test statistic is small enough and the $p$-value below the target $\\alpha$, we _can_ reject $H_0$ and say that the series is stationary." ] }, { "cell_type": "markdown", "id": "94467bb8", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Achieve stationarity\n", "\n", "- Take the log of the data.\n", "- Difference (multiple times if needed) to remove trends and seasonality.\n", "- Subtract estimated trend and seasonal components." ] }, { "cell_type": "markdown", "id": "5169d9fb", "metadata": {}, "source": [ "### Brownian Motion \n", "\n", "- Recall the random walk \n", "\n", "$$X(t) = X(t-1) + \\epsilon_t$$ \n", "\n", "- where $\\epsilon_t \\sim \\mathcal{N}(0,\\sigma^2)$.\n", "- This can also be expressed as \n", "\n", "$$X(t) = X(0) + W(t)$$ \n", "\n", "- where $W(t)$ is the *Wiener Process*, or as\n", "\n", "$$X(t) = X(0) + B(t)$$ \n", "\n", "- where $B(t)$ is the *Brownian Motion*\n", "- $W_t$ and $B(t)$ represents the cumulative sum of normally distributed increments $\\epsilon_1 + \\epsilon_2 + \\dots \\epsilon_t$." ] }, { "cell_type": "markdown", "id": "3707fe55", "metadata": {}, "source": [ "**Variance of Brownian Motion at time lag $\\tau$**\n", "\n", "- For a time series $X(t)$, the variance at a time lag $\\tau$ can be defined as: \n", "\n", "$$\\text{Var}(X(t + \\tau) - X(t))$$" ] }, { "cell_type": "markdown", "id": "6d895800", "metadata": {}, "source": [ "- Given $B(t)$ as Brownian motion, the increment $B(t + \\tau) - B(t)$ is normally distributed with mean 0 and variance $\\tau$.\n", "- This is because the variance of the increments of Brownian motion over a period $\\tau$ is $\\tau$. \n", "\n", "$$\\text{Var}(B(t + \\tau) - B(t)) = \\tau$$\n", "\n", "---" ] }, { "cell_type": "markdown", "id": "608a476b", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Unit root test" ] }, { "cell_type": "markdown", "id": "4b624fcd", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- The ADF is one of the most popular unit root tests.\n", "- The presence of a unit root suggests that the time series is generated by a stochastic process with some level of persistence.\n", "- This means that shocks to the system will have permanent effects. \n", "- This is opposed to stationary processes where shocks have only temporary effects.\n", "\n", "> Where does the term *unit root* comes from?" ] }, { "cell_type": "markdown", "id": "59914424", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- Consider a simple autoregressive process of order 1, denoted as AR(1). \n", "- This can be represented as: \n", "\n", "$$Y(t) = \\phi Y(t-1) + \\epsilon_t,$$\n", "\n", "- where \n", " - $Y(t)$ is the value of the series at time $t$, \n", " - $\\phi$ is a coefficient, \n", " - $\\epsilon_t$ is a white noise error term." ] }, { "cell_type": "markdown", "id": "13e7d08f", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "- To analyze the properties of this process, we can rewrite the equation in terms of **lag operator** $L$ where $LY(t) = Y(t-1)$. \n", "- The equation becomes: \n", "\n", "$$(1 - \\phi L)Y(t) = \\epsilon_t$$\n", "\n", "- The term $(1 - \\phi L)$ is known as the **characteristic equation** of the AR(1) process." ] }, { "cell_type": "markdown", "id": "f06d1804", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "- The roots of this equation are found by setting $1 - \\phi L = 0$ and solving for $L$. \n", "- The solution gives $L = 1/\\phi$, which is the **root of the characteristic equation**." ] }, { "cell_type": "markdown", "id": "264af46c", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- If $\\phi = 1$, then $L = 1/\\phi = 1$, meaning that the root of the characteristic equation has a \"unit\" value. \n", "- This is what is known as a \"unit root\". \n", "- When an AR(1) process has a unit root (i.e., $\\phi = 1$), it implies that the series is non-stationary as it becomes a random walk: $Y(t) = Y(t-1) + \\epsilon_t$ \n", "- The value of the series will be highly dependent on its previous values (the shocks to the series have a permanent effect).\n", "\n", "> In conclusion, the term \"unit root\" describes a specific condition in the autoregressive representation of a time series, indicating that the series is **non-stationary**. " ] }, { "cell_type": "markdown", "id": "0a069fdb", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### More on the ADF test \n", "\n", "**Formulation of the test**\n", "- The basic idea of the ADF test is to assess whether lagged values of the time series are useful in predicting current values. \n", "- The test starts with a model that includes the time series lagged by one period (lag-1).\n", "- Then, other lagged terms are added to control for higher-order correlation (this is the \"augmented\" part of the ADF test)." ] }, { "cell_type": "markdown", "id": "eca181a4", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "**ADF test equation**\n", "\n", "The ADF test model the time series with the following equation:\n", "\n", "$$\\Delta Y(t) = \\alpha + \\beta t + \\gamma Y(t-1) + \\sum_{i=1}^{p} \\delta_i \\Delta_{t-i} + \\epsilon_t$$\n", "\n", "- where\n", " - $\\Delta_t$ is the difference of the series at time $t$, i.e., $\\Delta_t = Y(t) - Y(t-1)$,\n", " - $\\alpha$ is a constant, \n", " - $\\beta$ represents the trend, \n", " - $\\gamma$ is the coefficient on the lagged value of the series,\n", " - $\\delta_i$ terms are coefficients for the lagged differences (account for higher-order correlations),\n", " - $\\epsilon_t$ error term." ] }, { "cell_type": "markdown", "id": "7ef7d257", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "**Connection to unit root**\n", "\n", "- Assume $\\alpha=\\beta=0$ (i.e., zero-mean and no trend) and do not consider the higher-order terms ($\\delta_i=0$).\n", "- Let $\\gamma = (\\phi -1)$. \n", " - We get $\\Delta_t = (\\phi -1) Y(t) + \\epsilon_t$.\n", "- If $\\gamma = 0$, then $\\phi = 1$ (unit root).\n", " - Then $\\Delta_t = \\epsilon_t \\rightarrow Y(t) = Y(t-1) + \\epsilon_t$, which is the non-stationary random walk." ] }, { "cell_type": "markdown", "id": "ae6a8441", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "**Null and alternative hypotheses (revised)**\n", "- $H_0$: $\\gamma = 0$ the time series has unit root, i.e., it is not stationary.\n", "- $H_1$: $\\gamma < 0$ the series does not have a unit root." ] }, { "cell_type": "markdown", "id": "b431d34b", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "**Test statistics**:\n", "- The ADF test statistic is calculated based on the estimated coefficient $\\hat{\\gamma}$. \n", "- This statistic is then compared to critical values for the ADF distribution.\n", "- If the test statistic is more negative than the critical value, $H_0$ is rejected.\n", "- If the test statistic is less negative than the critical value, $H_0$ cannot be rejected." ] }, { "cell_type": "markdown", "id": "b5931879", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "**Choosing lag length**:\n", "- The number of lags ($p$) included in the test equation is important. \n", "- Too few lags might leave out necessary corrections for autocorrelation.\n", "- Too many lags can reduce the power of the test.\n", "- The appropriate lag length is often chosen based on information criteria such as the Akaike Information Criterion (AIC) or the Schwarz Information Criterion (BIC)." ] }, { "cell_type": "code", "execution_count": 2, "id": "2d215098", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ADF Statistic: -1.13\n", "p-value: 0.70\n", "Used Lag: 0\n", "Number of Observations: 99\n", "Critical Values: ['1%: -3.50', '5%: -2.89', '10%: -2.58']\n", "\n" ] } ], "source": [ "# Generating a synthetic time series (replace this with your dataset)\n", "data = pd.Series(100 + np.random.normal(0, 1, 100).cumsum())\n", "\n", "# Perform Augmented Dickey-Fuller test\n", "# the lag can be set manually with 'maxlag' or inferred automatically with autolag\n", "result = adfuller(data, autolag='AIC') # You can change to 'BIC' for Schwarz Information Criterion\n", "\n", "adf_statistic, p_value, usedlag, nobs, critical_values, icbest = result\n", "print(f'ADF Statistic: {adf_statistic :.2f}')\n", "print(f'p-value: {p_value :.2f}')\n", "print(f'Used Lag: {usedlag}')\n", "print(f'Number of Observations: {nobs}')\n", "print(f\"Critical Values: {[f'{k}: {r:.2f}' for r,k in zip(critical_values.values(), critical_values.keys())]}\\n\")" ] }, { "cell_type": "markdown", "id": "6b319bc9", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "**Types of ADF tests**\n", "- There are three versions of the ADF test depending on whether the equation includes none, both, or one of the terms $\\alpha$ (constant) and $\\beta t$ (trend):\n", " - No constant or trend (`'n'`).\n", " - Constant, but no trend (`'c'`).\n", " - Both constant and trend (`'ct'`).\n", "- The choice among these depends on the nature of the underlying time series and on what we want to test." ] }, { "cell_type": "code", "execution_count": 31, "id": "2d78d669", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "# Function to perform ADF test\n", "def perform_adf_test(series, title, regression_type):\n", " out = adfuller(series, regression=regression_type)\n", " print(f\"Results for {title}:\")\n", " print(f'ADF Statistic: {out[0]:.2f}')\n", " print(f'p-value: {out[1]:.3f}')\n", " print(f\"Critical Values: {[f'{k}: {r:.2f}' for r,k in zip(out[4].values(), out[4].keys())]}\\n\")\n", "\n", "# 1. No Constant or Trend\n", "series_no_const_no_trend = pd.Series(np.random.normal(0, 1, 200))\n", "\n", "# 2. Constant, but No Trend\n", "series_const_no_trend = pd.Series(50 + np.random.normal(0, 1, 200))\n", "\n", "# 3. Both Constant and Trend\n", "series_const_trend = pd.Series(50 + np.linspace(0, 20, 200) + np.random.normal(0, 1, 200))" ] }, { "cell_type": "code", "execution_count": 32, "id": "3a7b66b0", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12, 4))\n", "plt.subplot(1, 3, 1)\n", "series_no_const_no_trend.plot(title='No Constant, No Trend')\n", "plt.subplot(1, 3, 2)\n", "series_const_no_trend.plot(title='Constant, but No Trend')\n", "plt.subplot(1, 3, 3)\n", "series_const_trend.plot(title='Both Constant and Trend')\n", "plt.tight_layout();" ] }, { "cell_type": "code", "execution_count": 33, "id": "5850dfd3", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Results for No Constant, No Trend:\n", "ADF Statistic: -6.80\n", "p-value: 0.000\n", "Critical Values: ['1%: -2.58', '5%: -1.94', '10%: -1.62']\n", "\n", "Results for Constant, No Trend:\n", "ADF Statistic: -12.97\n", "p-value: 0.000\n", "Critical Values: ['1%: -3.46', '5%: -2.88', '10%: -2.57']\n", "\n", "Results for Constant and Trend:\n", "ADF Statistic: -15.78\n", "p-value: 0.000\n", "Critical Values: ['1%: -4.00', '5%: -3.43', '10%: -3.14']\n", "\n" ] } ], "source": [ "# 1. No Constant or Trend\n", "perform_adf_test(series_no_const_no_trend, \"No Constant, No Trend\", 'n')\n", "\n", "# 2. Constant, but No Trend\n", "perform_adf_test(series_const_no_trend, \"Constant, No Trend\", 'c')\n", "\n", "# 3. Both Constant and Trend\n", "perform_adf_test(series_const_trend, \"Constant and Trend\", 'ct')" ] }, { "cell_type": "markdown", "id": "a805476e", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- In the last two cases, without accounting for the non-zero mean and the trend we would not reject $H_0$.\n", "- Try using ``'n'`` in the last two examples and see for yourself.\n", "\n", "---" ] }, { "cell_type": "markdown", "id": "1fe88de5", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Mean reversion test" ] }, { "cell_type": "markdown", "id": "6b9fbd8f", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- Mean reversion refers to the property of a time series to revert to its historical mean. \n", "- This concept is particularly popular in financial economics, where it is often assumed that asset prices and revert to their historical average over the long term.\n" ] }, { "cell_type": "markdown", "id": "9727338f", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Applications in finance\n", "\n", "1. **Portfolio Management** \n", " - Investors use mean reversion as a strategy to buy assets that have underperformed and sell assets that have overperformed, expecting that they will revert to their historical mean." ] }, { "cell_type": "markdown", "id": "d114cb72", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "2. **Risk Management** \n", " - Understanding mean reversion helps in assessing the long-term risk of assets. \n", " - If an asset is highly mean-reverting, it might be considered less risky over the long term, as it tends to move back to its average." ] }, { "cell_type": "markdown", "id": "36d4791c", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "3. **Pricing Models** \n", " - In option pricing, certain models assume mean reversion in the underlying asset's volatility. \n", " - This affects the pricing and strategy for options trading." ] }, { "cell_type": "markdown", "id": "10ba817f", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "4. **Economic Forecasting** \n", " - Economic variables (like GDP growth rates, interest rates) often exhibit mean-reverting behavior. \n", " - This assumption is used in macroeconomic models and forecasts." ] }, { "cell_type": "markdown", "id": "4e6d8ba3", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Testing for mean reversion\n", "- Determines whether, after a deviation from its mean, a time series will eventually revert back to that mean. \n", "- This can be done using unit root tests such as ADF.\n", "- If a time series has a unit root, it implies that it does not revert to a mean.\n", "- The absence of a unit root can be indicative of mean reversion." ] }, { "cell_type": "markdown", "id": "207fd5ea", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "**Example: Google stocks**\n", "\n", "We will download the Google Open-High-Low-Close-Volume (GOOG OHLCV) data from the 1st September 2004 to 31st August 2020 from [Yahoo finance](https://finance.yahoo.com/) using the ``yfinance`` Python package." ] }, { "cell_type": "code", "execution_count": 6, "id": "ae360b22", "metadata": {}, "outputs": [], "source": [ "def get_data(tickerSymbol, period, start, end):\n", "\n", " # Get data on the ticker\n", " tickerData = yf.Ticker(tickerSymbol)\n", "\n", " # Get the historical prices for this ticker\n", " tickerDf = tickerData.history(period=period, start=start, end=end)\n", " \n", " return tickerDf\n", " \n", "data = get_data('GOOG', period='1d', start='2004-09-01', end='2020-08-31')" ] }, { "cell_type": "code", "execution_count": 7, "id": "d6fa86d4", "metadata": { "scrolled": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plotting the Closing Prices\n", "plt.figure(figsize=(14, 5))\n", "plt.plot(data['Close'], label='GOOG Closing Price')\n", "plt.title('Google Stock Closing Prices (2004-2020)')\n", "plt.xlabel('Date')\n", "plt.ylabel('Price (USD)')\n", "plt.legend();" ] }, { "cell_type": "code", "execution_count": 8, "id": "3873cc5e", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Results for Google Stock Closing Prices:\n", "ADF Statistic: -0.78\n", "p-value: 0.968\n", "Critical Values: ['1%: -3.96', '5%: -3.41', '10%: -3.13']\n", "\n" ] } ], "source": [ "# Perform the ADF test\n", "perform_adf_test(data['Close'],\"Google Stock Closing Prices\", 'ct')" ] }, { "cell_type": "markdown", "id": "59e2043f", "metadata": {}, "source": [ "- We cannot reject $H_0$.\n", "- It does not look like a mean reverting time series." ] }, { "cell_type": "markdown", "id": "5040e5b1", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Mean reversion VS stationarity\n", "\n", "Testing for mean reversion and testing for stationarity are related but distinct concepts in time series analysis.\n", "\n", "**Key Differences**:\n", "- Mean reversion testing is focused on whether a time series will return to a specific level (the mean).\n", "- Stationarity testing checks if the overall statistical properties of the series remain consistent over time.\n", "- A stationary time series may or may not be mean reverting. \n", " - A stationary series with a constant mean and variance over time might still not revert to its mean after a shock.\n", "- Conversely, a mean-reverting series must have some stationarity, particularly in its mean, but it might still have changing variance or other properties over time." ] }, { "cell_type": "markdown", "id": "c799b0e0", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Hurst exponent" ] }, { "cell_type": "markdown", "id": "965f30b1", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- The Hurst exponent ($H$) is a measure used to characterize the long-term memory of time series. \n", "- It helps to determine the presence of autocorrelation or persistence in the data. \n", "- The goal of the Hurst Exponent is to provide us with a scalar value that will help us to identify whether a series is \n", " - random walking,\n", " - trending,\n", " - mean reverting." ] }, { "cell_type": "markdown", "id": "05b2a775", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- The key insight is that, if any *autocorrelation* exists, then\n", "\n", "$$\\text{Var}(X(t + \\tau) - X(t)) \\propto \\tau^{2H}$$\n", "\n", "- where $H$ is the Hurst exponent." ] }, { "cell_type": "markdown", "id": "f455a51e", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "A time series can then be characterised in the following manner:\n", "\n", "- If $H = 0.5$, the time series is similar to a random walk (Brownian motion). In this case, the variance increases linearly with $\\tau$.\n", "- If $H < 0.5$, the time series exhibits anti-persistence, i.e. mean reversal. The variance increases more slowly than linearly with $\\tau$.\n", "- If $H > 0.5$, the time series exhibits persistent long-range dependence, i.e. is trending. The variance increases more rapidly than linearly with $\\tau$." ] }, { "cell_type": "code", "execution_count": 9, "id": "3e801384", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "def hurst(ts):\n", " \n", " # Create the range of lag values\n", " lags = range(2, 100)\n", "\n", " # Calculate the array of the variances of the lagged differences\n", " tau = [np.sqrt(np.std(np.subtract(ts[lag:], ts[:-lag]))) for lag in lags]\n", "\n", " # Use a linear fit to estimate the Hurst Exponent\n", " poly = np.polyfit(np.log(lags), np.log(tau), 1)\n", "\n", " # Return the Hurst exponent from the polyfit output\n", " return poly[0]*2.0" ] }, { "cell_type": "markdown", "id": "1e486a46", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "**How do persistent and anti-persistent time series look like?**\n", "\n", "- Let's create a Python script (adapted from [here](https://github.com/Mottl/hurst/tree/master)) to generate random walk with persistence\n", "- We must incorporate a form of \"memory\" by considering past values within a specified lookback window to decide the direction of the next step. " ] }, { "cell_type": "markdown", "id": "aaa91e43", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Let's define\n", "\n", "```python\n", "def random_walk_memory(length, proba, min_lookback, max_lookback)\n", "```\n", "\n", "where:\n", "- ``proba`` is the probability that the next increment will follow the trend.\n", " - proba > 0.5 persistent random walk\n", " - proba < 0.5 antipersistent one\n", "\n", "- ``min_lookback`` and ``max_lookback`` are the minimum and maximum window sizes to calculate trend direction" ] }, { "cell_type": "code", "execution_count": 10, "id": "41212444", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "def random_walk_memory(length, proba=0.5, min_lookback=1, max_lookback=100):\n", " series = [0.] * length \n", " for i in range(1, length):\n", " \n", " # If the series has not yet reached the min_lookback threshold\n", " # the direction of the step is random (-1 or 1) \n", " if i < min_lookback + 1:\n", " direction = np.sign(np.random.randn())\n", " \n", " # consider the historical values to determine the direction\n", " else:\n", " # randomly choose between min_lookback and the minimum of \n", " # i-1 (to ensure not exceeding the current length) and max_lookback.\n", " lookback = np.random.randint(min_lookback, min(i-1, max_lookback)+1)\n", " \n", " # Decides whether to follow the recent trend or move against it, \n", " # based on a comparison between proba and a random number between 0 and 1.\n", " recent_trend = np.sign(series[i-1] - series[i-1-lookback])\n", " change = np.sign(proba - np.random.uniform())\n", " direction = recent_trend * change\n", " \n", " series[i] = series[i-1] + np.fabs(np.random.randn()) * direction\n", " return series" ] }, { "cell_type": "code", "execution_count": 11, "id": "139ac542", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bm = random_walk_memory(2000, proba=0.5)\n", "persistent = random_walk_memory(2000, proba=0.7)\n", "antipersistent = random_walk_memory(2000, proba=0.3)\n", "\n", "_, axes = plt.subplots(1,3, figsize=(24, 4))\n", "axes[0].plot(bm)\n", "axes[0].set_title(f\"Brownian Motion, H: {hurst(bm):.2f}\")\n", "axes[1].plot(persistent)\n", "axes[1].set_title(f\"Persistent, H: {hurst(persistent):.2f}\")\n", "axes[2].plot(antipersistent)\n", "axes[2].set_title(f\"Anti-Persistent, H: {hurst(antipersistent):.2f}\");" ] }, { "cell_type": "markdown", "id": "406a67b2", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- What is the Hurst exponent of the Google stocks closing price?" ] }, { "cell_type": "code", "execution_count": 12, "id": "5423c01a", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "GOOG closing price, H: 0.41\n" ] } ], "source": [ "print(f\"GOOG closing price, H: {hurst(data['Close'].values):.2f}\")" ] }, { "cell_type": "markdown", "id": "f0d761a4", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "- Google stocks' time series approaches $H=0.5$, indicating that it is close to a geometric random walk (at least for the sample period we're looking at).\n", "- What does this mean in practice?" ] }, { "cell_type": "markdown", "id": "d95bb3c9", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Interpretation of the Hurst exponent in finance:\n", "\n", "- The Hurst exponent, $H$, is a critical metric in the analysis of financial time series.\n", "- Offers insights into the behavior of assets such as stocks. \n", "- Here's how to interpret $H$ in the context of *closing stock prices* and its influence on *investment decisions*." ] }, { "cell_type": "markdown", "id": "ea1ea363", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "**Case 1: $H = 0.5$**\n", "\n", "- This value suggests that the stock price follows a geometric Brownian motion, i.e., a completely random walk. \n", "- It implies that future price movements are independent of past movements. \n", "- For investors, this means that there are no autocorrelations in price movements to exploit; past data cannot predict future prices. \n", "- Trading strategies based on historical price patterns or trends are, theoretically, no more likely to be successful than random guessing.\n", "- Investors should rely on broader market analysis or diversified portfolio strategies rather than trying to predict future prices based on past trends." ] }, { "cell_type": "markdown", "id": "ce368cb9", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "**Case 2: $H < 0.5$** \n", "\n", "- Indicates a mean-reverting series, i.e., the stock price tends to revert to its historical average. \n", "- This suggests that the asset is less risky over the long term. \n", "- Investors might interpret a low $H$ as an opportunity to buy stocks after a significant drop, expecting a reversion to the mean, or to sell after a substantial rise." ] }, { "cell_type": "markdown", "id": "badec803", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "**Case 3: $H > 0.5$**\n", "\n", "- Suggests a trending series, where increases or decreases in stock prices are likely to be followed by further increases or decreases, respectively. \n", "- This persistence indicates potential momentum in stock prices, which can be exploited by momentum strategies:\n", " - Buying stocks that have been going up in the hope that they will continue to do so, and selling those in a downtrend.\n" ] }, { "cell_type": "markdown", "id": "db248bba", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### Practical considerations:\n", "\n", "Before applying these interpretations, investors should also make the following considerations:\n", "- The observed value of $H$ can vary over different time frames: analyze $H$ over the period relevant to the investment horizon.\n", "- External factors such as market conditions, economic indicators, and geopolitical events can influence stock prices and should be considered alongside $H$.\n", "- Regardless of the value of $H$, implementing proper risk management strategies is essential to protect against unexpected market movements.\n", "- If the time series is too short, the value of $H$ might not be reliable.\n", "\n", "---" ] }, { "cell_type": "markdown", "id": "42d2e890", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Geometric Brownian Motion" ] }, { "cell_type": "markdown", "id": "0456a822", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- The *Geometric Brownian Motion* (GBM) is a stochastic process.\n", "- Is is often used to model stock prices and other financial variables that do not revert to a mean but rather exhibit trends with a drift $\\mu$ and volatility $\\sigma$. " ] }, { "cell_type": "markdown", "id": "78426912", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "The GBM is defined as: \n", "\n", "$$S(t) = S_0 \\exp\\left((\\mu - \\frac{1}{2} \\sigma^2)t + \\sigma W(t)\\right)$$ \n", "\n", "- where\n", " - $S(t)$ is the stock price at time $t$.\n", " - $S_0$ is the initial stock price at time $t = 0$.\n", " - $\\mu$ is the expected annual return (drift coefficient).\n", " - $\\sigma$ is the volatility (standard deviation of returns).\n", " - $W(t)$ is a Wiener process (standard Brownian motion)." ] }, { "cell_type": "code", "execution_count": 13, "id": "f5625e43", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "S0 = 100 # Initial stock price\n", "mu = 0.09 # Expected annual return (9%)\n", "sigma = 0.25 # Annual volatility (25%)\n", "T = 2 # Time horizon in years\n", "dt = 1/252 # Time step in years, assuming 252 trading days per year\n", "N = int(T/dt) # Number of time steps\n", "t = np.linspace(0, T, N) # Time vector\n", "\n", "# Brownian Motion\n", "dW = np.random.normal(0, np.sqrt(dt), N)\n", "W = np.cumsum(dW)\n", "\n", "# Geometric Brownian Motion\n", "S = S0 * np.exp((mu - 0.5 * sigma**2) * t + sigma * W)\n", "\n", "# Plotting the Geometric Brownian Motion\n", "plt.figure(figsize=(12, 4))\n", "plt.plot(S)\n", "plt.title('Geometric Brownian Motion');" ] }, { "cell_type": "markdown", "id": "d8b0d024", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Variance of GBM\n", "\n", "- First, note that $S(t)$ is *log-normally distributed* because it's an exponential function of a normally distributed process $B(t)$. \n", "- The variance of $S(t)$ can be found from the properties of the log-normal distribution:\n", "\n", "$$\\text{Var}(S(t)) = \\left(e^{\\sigma^2 t} - 1\\right) e^{2\\mu t + \\sigma^2 t} S_0^2.$$\n", "\n", "- This shows that the variance of GBM is not linear in $t$ like the BM.\n", "- Instead, it grows *exponentially* with time due to the exponential term $e^{\\sigma^2 t}$.\n", "- This, and the possibility of modelling drift (expected annual return) are the main additions of GBM over BM." ] }, { "cell_type": "markdown", "id": "fd0ea3a5", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Real world applications\n", "\n", "- GBM can be used to model real stock prices and simulate their future behavior.\n", "- First, we estimate $\\mu$ and $\\sigma$ from historical stock price data. \n", " - $\\mu$ could be the historical average of the stock's logarithmic returns.\n", " - $\\sigma$ could be the standard deviation of those returns.\n", "- Then, we use these estimates in the GBM formula to simulate future price paths." ] }, { "cell_type": "markdown", "id": "75fb52ca", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- This method is widely used for option pricing, risk management, and investment strategy simulations. \n", "- However, GBM has limitations, such as assuming a *constant drift and volatility*.\n", "- These assumptions may not hold true in real markets. \n", "- Therefore, it's often used as a component of a broader analysis or modeling strategy." ] }, { "cell_type": "code", "execution_count": 14, "id": "386caf9c", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "# Step 1: Get the \"training\" data (e.g., 2020-2022)\n", "data2 = get_data('GOOG', period='1d', start='2019-12-31', end='2022-12-31')" ] }, { "cell_type": "code", "execution_count": 15, "id": "3e43405e", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "# Get \"test\" data, for comparison (e.g., 2023)\n", "data3 = get_data('GOOG', period='1d', start='2022-12-31', end='2023-12-31')\n", "test_days = len(data3)" ] }, { "cell_type": "code", "execution_count": 16, "id": "43f37baa", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "# Step 2: Calculate Daily Returns\n", "returns = data2['Close'].pct_change() # We are interested in the returns, so we get the changes in %" ] }, { "cell_type": "code", "execution_count": 17, "id": "81ad850f", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "# Step 3: Estimate Parameters for GBM\n", "mu = returns.mean() * 252 # Annualize the mean\n", "sigma = returns.std() * np.sqrt(252) # Annualize the std deviation" ] }, { "cell_type": "code", "execution_count": 18, "id": "36a42ef8", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "# Step 4: Set GBM parameters\n", "T = 1 # Time horizon in years\n", "dt = 1/test_days # Time step in years, assuming 252 trading days per year\n", "N = int(T/dt) # Number of time steps\n", "time_step = np.linspace(0, T, N)\n", "S0 = data2['Close'].iloc[-1] # Starting stock price (latest close price) " ] }, { "cell_type": "code", "execution_count": 19, "id": "8a9259e0", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "# Step 5: Compute Simulation\n", "W = np.random.standard_normal(size=N)\n", "W = np.cumsum(W)*np.sqrt(dt) # Cumulative sum for the Wiener process\n", "X = (mu - 0.5 * sigma**2) * time_step + sigma * W\n", "S = S0 * np.exp(X) # GBM formula" ] }, { "cell_type": "code", "execution_count": 20, "id": "eca38bf4", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the results\n", "plt.figure(figsize=(12, 5))\n", "plt.plot(data2['Close'], label='GOOGL Historical Closing Prices')\n", "plt.plot(data3.index, S, label='Simulated GBM Prices')\n", "plt.plot(data3['Close'], label='Real Prices')\n", "plt.legend()\n", "plt.title('Google Stock Prices and Simulated GBM')\n", "plt.xlabel('Date')\n", "plt.ylabel('Price')\n", "plt.xticks(rotation=45);" ] }, { "cell_type": "markdown", "id": "bd3c435d", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- There is a stochastic component in each GBM realization..\n", "- Usually, more paths are simulated to get a more informative simulation." ] }, { "cell_type": "code", "execution_count": 21, "id": "1b5b3b6a", "metadata": { "slideshow": { "slide_type": "-" } }, "outputs": [], "source": [ "# Simulate multiple paths\n", "n_paths = 10\n", "paths = []\n", "for _ in range(n_paths):\n", " W = np.cumsum(np.random.standard_normal(size=N))*np.sqrt(dt)\n", " X = (mu - 0.5 * sigma**2) * time_step + sigma * W\n", " paths.append(S0 * np.exp(X))\n", " \n", "path_mean = np.array(paths).mean(axis=0)\n", "path_std = np.array(paths).std(axis=0)" ] }, { "cell_type": "code", "execution_count": 22, "id": "4c0fefc0", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [ "hide-input" ] }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12, 5))\n", "plt.plot(data2['Close'], label='GOOGL Historical Closing Prices')\n", "plt.plot(data3.index, path_mean, label='Simulated GBM Prices')\n", "plt.fill_between(data3.index, path_mean-1.96*path_std, path_mean+1.96*path_std, color='tab:orange', alpha=0.2, label='95% CI')\n", "plt.plot(data3['Close'], label='Real Prices')\n", "plt.legend(loc='upper left')\n", "plt.title('Google Stock Prices and Simulated GBM')\n", "plt.xlabel('Date')\n", "plt.ylabel('Price')\n", "plt.xticks(rotation=45);" ] }, { "cell_type": "markdown", "id": "699111fe", "metadata": {}, "source": [ "---" ] }, { "cell_type": "markdown", "id": "7003d1a6", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Summary\n", "\n", "In this lecture we covered:\n", "1. Unit root test and a deeper insight on ADF test.\n", "2. Mean Reversion and how to test it with ADF.\n", "3. Hurst Exponent: how to compute it and its application in finance.\n", "4. Geometric Brownian Motion: definition and application to simulate stocks.\n", "\n", "---" ] }, { "cell_type": "markdown", "id": "eb9d953c", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Exercise \n", "\n", "- Download and plot the historical closing prices of Tesla (``TSLA``) and Equinor (``EQNR``) for the years ``2019-12-31``- ``2022-12-31``.\n", "- For each time series:\n", " - Test if the time series look stationary.\n", " - Compute the Hurst coefficient for both time series.\n", " - Which stock would you like to invest into? Motivate your answer based on the tests and the value of $H$.\n", " - Simulate the stock prices using GBM.\n", "\n", "- Which simulation seems to be more reliable? The one for Tesla or Equinor? \n", "- To motivate your answer: \n", " 1. compute the simulation at least 100 times.\n", " 2. Compute the MSE between the true stock prices and the simulated ones.\n", " 3. Compare the expected value of the MAPE for the two stocks." ] } ], "metadata": { "celltoolbar": "Slideshow", "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": "3.10.14" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false } }, "nbformat": 4, "nbformat_minor": 5 }