diff --git "a/natural_gas.ipynb" "b/natural_gas.ipynb" new file mode 100644--- /dev/null +++ "b/natural_gas.ipynb" @@ -0,0 +1,2696 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "ec434018", + "metadata": {}, + "source": [ + "# Uniivariate Time Series Forecasting using ARIMA" + ] + }, + { + "cell_type": "markdown", + "id": "90f93f2b", + "metadata": {}, + "source": [ + "## Training Statistical Time Series Model (**ARIMA**) on Natural Gas Prices Dataset, spanning **1996 to 2024**\n", + "\n", + "This notebook aims to forecast future prices and includes a separate implementation of **Garch** for modeling volaitlity \n", + "\n", + "---\n", + "\n", + "#### What is ARIMA: A brief overview: \n", + "The ARIMA model has three components: Autoregressive, Integrated (differencing), and Moving-Average. These are then linearly combined to form the model:\n", + "\n", + "$$\n", + "y_t' = c + \\sum_{n=1}^{p} \\phi_n y_{t-n}' + \\sum_{n=1}^{q} \\theta_n \\varepsilon_{t-n} + \\varepsilon_t\n", + "$$\n", + "\n", + "\n", + "\n", + "- \\( y_t' \\): The differenced time series, commonly used if the original series is non-stationary.\n", + "- \\( c \\): A constant term (intercept).\n", + "- \\( \\phi_n \\): Autoregressive coefficients (AR terms).\n", + "- \\( \\theta_n \\): Moving average coefficients (MA terms).\n", + "- \\( \\varepsilon_t \\): White noise (error term).\n", + "\n", + "\n", + "The model is often compactly written ARIMA(p, d, q) where p, d, and q refer to the order of autoregressors, differencing and moving-average components respectively.\n", + "\n", + "### The notebook covers the following key concepts:\n", + "\n", + "- **Trend and Seasonality Analysis** using **Seasonal decomposition** \n", + "- **Correlation Analysis** using **ACF** and **PACF** plots\n", + "- **Residual Analysis from ARIMA**\n", + "---\n", + "\n", + "#### Stationarity Tests:\n", + "\n", + "- ADF (Augmented Dickey-Fuller) Test \n", + "- KPSS (Kwiatkowski–Phillips–Schmidt–Shin) Test \n", + "- Individual tests for detecting **trend** and **seasonality** \n", + "- **Rolling mean** and **rolling standard deviation** inspection for stationarity\n", + "\n", + "---\n", + "\n", + "#### Time Series Transformation:\n", + "\n", + " - **Differencing** to achieve stationarity\n", + "\n", + "---\n", + "\n", + "#### Model Order Selection:\n", + "\n", + "- Manual estimation of **(p, d, q)** using ACF/PACF plots \n", + "- Automated selection using **auto ARIMA**\n", + "\n", + "---\n", + "\n", + "##### Volatility Modeling:\n", + "\n", + "- Identifying **conditional heteroscedasticity** using ARCH \n", + "- Modeling **volatility** using the **GARCH** \n" + ] + }, + { + "cell_type": "markdown", + "id": "126c3f47", + "metadata": {}, + "source": [ + "# Import the required libraries" + ] + }, + { + "cell_type": "code", + "execution_count": 120, + "id": "cfa9f64d", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "import pandas as pd \n", + "from statsmodels.tsa.seasonal import seasonal_decompose \n" + ] + }, + { + "cell_type": "markdown", + "id": "4d34ac97", + "metadata": {}, + "source": [ + "# Data Preparation and Visualization" + ] + }, + { + "cell_type": "code", + "execution_count": 121, + "id": "faeb1779", + "metadata": {}, + "outputs": [], + "source": [ + "ts = pd.read_csv(\"I:/CQAI/TSA/TSD/TSD/data/Henry_Hub_Natural_Gas_Spot_Price.csv\",parse_dates=[\"Month\"],index_col=[\"Month\"], date_format=\"%b-%Y\")" + ] + }, + { + "cell_type": "code", + "execution_count": 122, + "id": "56b4a36f", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Index: 341 entries, May 2025 to Jan 1997\n", + "Data columns (total 1 columns):\n", + " # Column Non-Null Count Dtype \n", + "--- ------ -------------- ----- \n", + " 0 Price 341 non-null float64\n", + "dtypes: float64(1)\n", + "memory usage: 5.3+ KB\n" + ] + } + ], + "source": [ + "ts.info()" + ] + }, + { + "cell_type": "code", + "execution_count": 123, + "id": "efc9ca91", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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To ensure parsing is consistent and as-expected, please specify a format.\n", + " ts.index = pd.to_datetime(ts.index)\n" + ] + } + ], + "source": [ + "ts.index = pd.to_datetime(ts.index)" + ] + }, + { + "cell_type": "code", + "execution_count": 126, + "id": "8ffaa2d7", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def plot_timeseries(df:pd.DataFrame):\n", + " plt.figure(figsize=(12, 8))\n", + " plt.plot(df.index, ts[\"Price\"], label=\"GAS PRICES\", color=\"blue\")\n", + " plt.title(\"NATURAL GAS PRICES\")\n", + " plt.xlabel(\"Date\")\n", + " plt.ylabel(\"GAS PRICES\")\n", + " \n", + " plt.legend()\n", + " plt.show()\n", + "plot_timeseries(ts)" + ] + }, + { + "cell_type": "markdown", + "id": "bd30ff0f", + "metadata": {}, + "source": [ + "#### Observation from the graph :\n", + "- the monotonic trend in the data is not pronounced \n", + "- seasonlaity patterns are not very evident\n", + "- an obvious change in variance is visible\n" + ] + }, + { + "cell_type": "markdown", + "id": "564deffb", + "metadata": {}, + "source": [ + "## Seasonal Decomposition using STL to decompose the time series into three main components:\n", + "\n", + "- **Trend**: Long-term movement in the data\n", + "- **Seasonality**: Repeating patterns after certain time interval\n", + "- **Residual (Noise)**: Remaining component after removing trend and seasonality\n", + "\n", + "\n", + "### Decomposing a time series helps us:\n", + "\n", + "- **Isolate trend and seasonal effects** from random noise\n", + "- **Visualize and understand** underlying patterns in the data\n", + "- **Diagnose stationarity issues** (e.g., presence of trend or seasonality)\n", + "- **Inform preprocessing steps**, such as differencing or deseasonalizing, to improve model performance\n", + "- Enhance **interpretability** before applying forecasting models like ARIMA or GARCH\n", + "\n", + "### STL Advantages\n", + "\n", + "- Works well with **non-linear trends**\n", + "- Robust to outliers\n", + "- Flexible seasonal component (can handle varying seasonality)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 143, + "id": "c5d05486", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "\n", + "from statsmodels.tsa.seasonal import STL\n", + "import matplotlib.pyplot as plt\n", + "\n", + "\n", + "stl = STL(ts[\"Price\"], period=3, robust=True)\n", + "result = stl.fit()\n", + "\n", + "# Extract components\n", + "trend = result.trend\n", + "seasonal = result.seasonal\n", + "resid = result.resid\n", + "\n", + "# Plot components\n", + "result.plot()\n", + "plt.suptitle(\"STL Decomposition\", fontsize=16)\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 144, + "id": "7c59e2a5", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(12, 5))\n", + "resid = resid.dropna()\n", + "plt.scatter(resid.index, resid.values, color='blue', s=10)\n", + "plt.title(\"Residuals from STL Decomposition (Scatter)\")\n", + "plt.xlabel(\"Date\")\n", + "plt.ylabel(\"Residual\")\n", + "plt.grid(True)\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "01572c99", + "metadata": {}, + "source": [ + "## ACF / PACF Plot to determine stationarity \n", + "\n", + "### Autocorrelation Function (ACF)\n", + "The ACF plot shows the **correlation between a time series and its own lagged values**. It helps identify how strongly past values influence future values.\n", + "\n", + "### Partial Autocorrelation Function (PACF)\n", + "The PACF plot shows the **direct correlation between a time series and a lagged value**, **excluding the influence of intermediate lags**. \n", + "\n", + "---\n", + "\n", + "- **Check for Stationarity**:\n", + " - If ACF values **decay slowly** (especially for many lags), it suggests the presence of **trend or non-stationarity**.\n", + " - For stationary series, ACF/PACF typically **drop off quickly**.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "5ff34a16", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from statsmodels.graphics.tsaplots import plot_acf, plot_pacf\n", + "def plot_acf_pacf(df: pd.DataFrame):\n", + " plot_acf( ts[\"Price\"].dropna(), lags=20)\n", + " plot_pacf( ts[\"Price\"].dropna(), lags=20)\n", + " plt.show()\n", + "\n", + "\n", + "\n", + "\n", + "plot_acf_pacf(ts)" + ] + }, + { + "cell_type": "markdown", + "id": "32d97767", + "metadata": {}, + "source": [ + "## Determining Rolling Mean and Rolling Standard Deviation\n", + "These plots help visualize how the **mean and variance change over time**.\n", + "\n", + "\n", + "- **Stationary in Mean**:\n", + " - If the **rolling mean remains constant**, the series is likely **stationary in mean**.\n", + " - If the mean **drifts upward or downward**, it suggests the presence of a **trend**, indicating **non-stationarity**.\n", + "\n", + "- **Stationary in Variance**:\n", + " - For a stationary series, the rolling standard deviation should be roughly constant over time.\n", + " - When a time series has a non-constant mean (trend), the rolling standard deviation calculated directly on the raw data may not accurately reflect accurate changes in volatility or variance. Detrending the data will help somewhat unveil any hidden changes in variance, allowing the rolling standard deviation to reflect the true variability in the time series. " + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "28f59553", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def plot_roll_mean_std(df,col):\n", + "\n", + " rolling_std =df[col].rolling(window=12).std()\n", + " rolling_mean =df[col].rolling(window=12).mean()\n", + " plt.plot(df[col], label='Original')\n", + " plt.plot(rolling_std, label='Rolling Std', color='red')\n", + " plt.plot(rolling_mean, label='Rolling mean', color='green')\n", + " plt.legend()\n", + " plt.title(\"Rolling Standard Deviation\")\n", + " plt.show() \n", + "plot_roll_mean_std(ts,\"Price\")\n", + "\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "id": "d3ad8240", + "metadata": {}, + "source": [ + "# ADF and KPSS test for stationarity" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "115f54ff", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "KPSS Statistic: 0.48722904224059665\n", + "p-value: 0.044543008504370124\n", + "Num Lags: 11\n", + "Critical Values:\n", + " 10% : 0.347\n", + " 5% : 0.463\n", + " 2.5% : 0.574\n", + " 1% : 0.739\n", + "Result: Likely non-stationary (reject null hypothesis of stationarity)\n" + ] + } + ], + "source": [ + "import pandas as pd\n", + "from statsmodels.tsa.stattools import kpss\n", + "\n", + "\n", + "\n", + "# KPSS Test\n", + "def kpss_test(ts, col):\n", + "\n", + " stat, p_value, lags, critical_values = kpss(ts[col], regression='c',nlags='auto') # 'c' = constant, 'ct' = trend\n", + "\n", + " # Print results\n", + " print(f'KPSS Statistic: {stat}')\n", + " print(f'p-value: {p_value}')\n", + " print(f'Num Lags: {lags}')\n", + " print('Critical Values:')\n", + " for key, value in critical_values.items():\n", + " print(f' {key} : {value}')\n", + "\n", + " # Interpretation\n", + " if stat > critical_values['5%']:\n", + " print(\"Result: Likely non-stationary (reject null hypothesis of stationarity)\")\n", + " else:\n", + " print(\"Result: Likely stationary (fail to reject null hypothesis)\")\n", + "kpss_test(ts, \"Price\")" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "32473f60", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ADF Statistic: -2.6820683081351726\n", + "p-value: 0.07719296686160128\n", + "Used Lags: 9\n", + "Number of Observations: 331\n", + "Critical Values:\n", + " 1% : -3.4502615951739393\n", + " 5% : -2.8703117734117742\n", + " 10% : -2.5714433728242714\n", + "Result: Likely non-stationary (fail to reject null hypothesis)\n" + ] + } + ], + "source": [ + "import pandas as pd\n", + "from statsmodels.tsa.stattools import adfuller\n", + "\n", + "def adf_test(ts, col):\n", + "\n", + " \n", + " # Perform ADF test \n", + " result = adfuller(ts[col], autolag='AIC')\n", + "\n", + " # Extract and print results\n", + " adf_stat = result[0]\n", + " p_value = result[1]\n", + " used_lag = result[2]\n", + " n_obs = result[3]\n", + " crit_values = result[4]\n", + "\n", + " print(f'ADF Statistic: {adf_stat}')\n", + " print(f'p-value: {p_value}')\n", + " print(f'Used Lags: {used_lag}')\n", + " print(f'Number of Observations: {n_obs}')\n", + " print('Critical Values:')\n", + " for key, value in crit_values.items():\n", + " print(f' {key} : {value}')\n", + "\n", + " # Interpretation\n", + " if p_value < 0.05:\n", + " print(\"Result: Likely stationary (reject null hypothesis of unit root)\")\n", + " else:\n", + " print(\"Result: Likely non-stationary (fail to reject null hypothesis)\")\n", + "adf_test(ts, \"Price\")\n" + ] + }, + { + "cell_type": "markdown", + "id": "237bc6c7", + "metadata": {}, + "source": [ + "# Individual test for Monotonic (LInear) trend" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "b95b5a8e", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Mann_Kendall_Test(trend='increasing', h=True, p=0.00016682061112605062, z=3.7645929439870467, Tau=0.1366223908918406, s=7920.0, var_s=4424912.0, slope=0.003653846153846153, intercept=2.8088461538461544)\n" + ] + } + ], + "source": [ + "import pymannkendall as mk\n", + "# Perform Mann-Kendall test\n", + "\n", + "result = mk.original_test(ts[\"Price\"].dropna())\n", + "print(result)" + ] + }, + { + "cell_type": "markdown", + "id": "022d2b23", + "metadata": {}, + "source": [ + "# Individual test for Seasonality" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "b9b37b8b", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Friedman p-value: 0.822946\n", + "No significant differences in the distributions of electric production across months, Seasonality does not exist.\n" + ] + } + ], + "source": [ + "from scipy.stats import friedmanchisquare\n", + "\n", + "# Drop NaNs (e.g., from differencing)\n", + "values = ts[\"Price\"].dropna().values\n", + "\n", + "# Ensure the length is divisible by 12 (e.g., complete years)\n", + "length = len(values) - (len(values) % 12)\n", + "values = values[:length]\n", + "\n", + "# Reshape to (n_years, 12 months)\n", + "data = values.reshape(-1, 12)\n", + "\n", + "# Apply Friedman test across columns (months)\n", + "stat, p = friedmanchisquare(*data.T)\n", + "print(f\"Friedman p-value: {p:.6f}\") \n", + "\n", + "# If p-value < 0.05, reject the null hypothesis of equal distributions across months\n", + "if p < 0.05:\n", + " print(\"There are significant differences in the distributions of electric production across months, Means Seasonality exists.\") \n", + "else:\n", + " print(\"No significant differences in the distributions of electric production across months, Seasonality does not exist.\")" + ] + }, + { + "cell_type": "markdown", + "id": "ff3435f3", + "metadata": {}, + "source": [ + "# Differencing the Data to Make it statioanry in Mean" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "9c475f3e", + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "ts[\"Price_diff\"]=ts[\"Price\"].diff()\n", + "ts=ts.dropna() \n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "00f1f10e", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "KPSS Statistic: 0.026724948396237545\n", + "p-value: 0.1\n", + "Num Lags: 1\n", + "Critical Values:\n", + " 10% : 0.347\n", + " 5% : 0.463\n", + " 2.5% : 0.574\n", + " 1% : 0.739\n", + "Result: Likely stationary (fail to reject null hypothesis)\n", + "-----------------------------------------------------------------------\n", + "ADF Statistic: -7.9452729210405435\n", + "p-value: 3.232532003351616e-12\n", + "Used Lags: 8\n", + "Number of Observations: 331\n", + "Critical Values:\n", + " 1% : -3.4502615951739393\n", + " 5% : -2.8703117734117742\n", + " 10% : -2.5714433728242714\n", + "Result: Likely stationary (reject null hypothesis of unit root)\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\injil\\AppData\\Local\\Temp\\ipykernel_11240\\1601207863.py:9: InterpolationWarning: The test statistic is outside of the range of p-values available in the\n", + "look-up table. The actual p-value is greater than the p-value returned.\n", + "\n", + " stat, p_value, lags, critical_values = kpss(ts[col], regression='c',nlags='auto') # 'c' = constant, 'ct' = trend\n" + ] + } + ], + "source": [ + "\n", + "#lets check the test results again\n", + "kpss_test(ts, \"Price_diff\")\n", + "print ( \"-----------------------------------------------------------------------\")\n", + "adf_test(ts, \"Price_diff\")" + ] + }, + { + "cell_type": "markdown", + "id": "c92e9722", + "metadata": {}, + "source": [ + "# Determining appropriate differencing\n", + "\n", + "- This evaluates the effect of differencing (from `d = 0` to `d = 5`) on the **standard deviation** of the time series.\n", + "- The plot shows how variance changes with each level of differencing.\n", + "- The **lowest standard deviation occurs at `d = 1`**, suggesting that **first-order differencing is the most appropriate** to stabilize the series and achieve stationarity.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "83374fae", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "\n", + "\n", + "# Try multiple differencing levels\n", + "\n", + "std_devs = []\n", + "\n", + "for d in range(0,6):\n", + " if d == 0:\n", + " diff_series = ts[\"Price\"]\n", + " else:\n", + " diff_series = ts[\"Price\"].diff(d).dropna()\n", + " std_devs.append(diff_series.std())\n", + "\n", + "# Plot the results\n", + "plt.figure(figsize=(8, 5))\n", + "plt.plot(range(0,6), std_devs, marker='o', linestyle='--', color='blue')\n", + "plt.xlabel('Order of Differencing (d)')\n", + "plt.ylabel('Standard Deviation')\n", + "plt.title('Standard Deviation vs. Differencing Order')\n", + "plt.grid(True)\n", + "plt.xticks(range(0,6))\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "7999aa54", + "metadata": {}, + "source": [ + "#### Check on rolling Mean and std: \n", + "- Now rolling std will reflcet its true nature since the data is comparatively stationary in mean now than before. \n", + "- can comment on potential volatitlity in the data and hence determine if Saperate Volatiltiy modelin is needed or not\n", + "---\n", + "- From the plot, we can observe that the **mean of the series appears stabilized** over time after differencing, indicating that the series is comparatively **stationary in mean**.\n", + "- Although the **spikes in the rolling standard deviation have reduced** from 2 to 1 at some points, they still fluctuate between **0 and 2 on the Y-axis**, particularly during the **early and recent years**\n", + "- This clearly suggests the presence of **changing (non-constant) variance**, i.e., **heteroskedasticity**, which needs to be modeled explicitly for accurate forecasting." + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "8922fda9", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_roll_mean_std(ts,\"Price_diff\")" + ] + }, + { + "cell_type": "markdown", + "id": "7ebbdedb", + "metadata": {}, + "source": [ + "### ACF/PACF Plot to Determine `p` (AR term) and `q` (MA term) for ARIMA\n", + "\n", + "- If the **PACF plot** has a significant spike at lag `p` but not beyond, and the **ACF plot** decays more gradually, this may suggest an **ARIMA(p, d, 0)** model — indicating an autoregressive (AR) process.\n", + "\n", + "- If the **ACF plot** has a significant spike at lag `q` but not beyond, and the **PACF plot** decays more gradually, this may suggest an **ARIMA(0, d, q)** model — indicating a moving average (MA) process.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "209b63c9", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from statsmodels.graphics.tsaplots import plot_acf, plot_pacf\n", + "\n", + "result = plot_acf(ts[\"Price_diff\"].dropna(), lags=20)\n", + "\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "eaa3ad3c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from statsmodels.graphics.tsaplots import plot_acf, plot_pacf\n", + "\n", + "result = plot_pacf(ts[\"Price_diff\"].dropna(), lags=20)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "8aa527cd", + "metadata": {}, + "source": [ + " ### ACF and PACF Plot Observations\n", + "\n", + "- In **PACF plot** most values lie within the confidence interval, indicating a lack of strong short-term autoregressive behavior.\n", + "- The **ACF plot** similarly shows no significant spikes , with gradual decay not clearly observed — suggesting weak moving average structure at lower lags.\n", + "- Notably, both plots show **significant spikes at lag 5 and lag 9**, which could imply the presence of longer-range dependencies in the data.\n", + "\n", + "### Inference\n", + "\n", + "Given the significant autocorrelations at **lag 5** and **lag 9**, a potential ARIMA model configuration could be:\n", + "\n", + "> **ARIMA(5, 1, 9)**\n", + "\n", + "Where:\n", + "- `p = 5` is based on the significant spike in the **PACF** plot,\n", + "- `d = 1` assumes the series is non-stationary and requires first-order differencing,\n", + "- `q = 9` is based on the significant spike in the **ACF** plot.\n", + "\n", + "This model structure captures the longer-lag dependencies that may be influencing the time series. Further validation through auto arima is required.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "b1197d7b", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def plot_timeseries(df:pd.DataFrame):\n", + " plt.figure(figsize=(12, 6))\n", + " plt.plot(df.index, ts[\"Price_diff\"], label=\"GAS PRICES\", color=\"blue\")\n", + " plt.title(\"NATURAL GAS PRICES\")\n", + " plt.xlabel(\"Date\")\n", + " plt.ylabel(\"GAS PRICES\")\n", + " plt.grid(True)\n", + " plt.legend()\n", + " plt.show()\n", + "plot_timeseries(ts)" + ] + }, + { + "cell_type": "markdown", + "id": "fc0a9ce0", + "metadata": {}, + "source": [ + "### Differenced Natural Gas Price Series – Key Observations\n", + "\n", + "- After differencing, the series shows **no clear trend or seasonality**, indicating possible stationarity in mean.\n", + "\n", + "\n", + "### Volatility Clustering\n", + "- **Volatility is high and clustered**, notably between:\n", + " - 2000-2010\n", + " - 2022–2024.\n", + "\n", + "- The series exhibits **volatility clustering**, where **large changes follow large changes** and **small changes follow small ones**.\n", + "- This behavior indicates **heteroskedasticity**, which standard ARIMA models cannot capture due to their assumption of constant variance.\n", + "\n", + "### Suggested Modeling Approach\n", + "\n", + "- To capture and model the volatility dynamics in the data we will use **GARCH (Generalized Autoregressive Conditional Heteroskedasticity)**\n", + "\n", + "\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "cc9c78b7", + "metadata": {}, + "outputs": [], + "source": [ + "'''\n", + "annual_volatility = ts.groupby(ts.index.month).std()\n", + "ts['annual_vol'] = ts.index.map(lambda d: annual_volatility.loc[d.month, \"Price\"])\n", + "ts[\"Price\"] = ts[\"Price\"] / ts['annual_vol']\n", + "\n", + "'''\n", + "'''\n", + "ts['pricevol'] = ts[col].rolling(window=30, min_periods=10).std()\n", + "ts[col] = ts[col] / ts['pricevol']\n", + "\n", + "'''\n" + ] + }, + { + "cell_type": "markdown", + "id": "5951f497", + "metadata": {}, + "source": [ + "# Train - Test split " + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "f28f18b7", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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PricePrice_diff
Month
1997-01-013.451.30
1997-02-012.150.26
1997-03-011.89-0.14
1997-04-012.03-0.22
1997-05-012.250.05
.........
2024-12-013.01-1.12
2025-01-014.13-0.06
2025-02-014.190.07
2025-03-014.120.70
2025-04-013.420.30
\n", + "

340 rows × 2 columns

\n", + "
" + ], + "text/plain": [ + " Price Price_diff\n", + "Month \n", + "1997-01-01 3.45 1.30\n", + "1997-02-01 2.15 0.26\n", + "1997-03-01 1.89 -0.14\n", + "1997-04-01 2.03 -0.22\n", + "1997-05-01 2.25 0.05\n", + "... ... ...\n", + "2024-12-01 3.01 -1.12\n", + "2025-01-01 4.13 -0.06\n", + "2025-02-01 4.19 0.07\n", + "2025-03-01 4.12 0.70\n", + "2025-04-01 3.42 0.30\n", + "\n", + "[340 rows x 2 columns]" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ts = ts.sort_index(ascending=True) # From 1997 to 2020\n", + "ts\n" + ] + }, + { + "cell_type": "code", + "execution_count": 100, + "id": "ae2092af", + "metadata": {}, + "outputs": [], + "source": [ + "col=\"Price\"\n", + "train = ts[[col]].iloc[:-25]\n", + "test = ts[[col]].iloc[-25:]" + ] + }, + { + "cell_type": "code", + "execution_count": 101, + "id": "fbb34ac8", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Price
Month
2023-04-012.16
2023-05-012.15
2023-06-012.18
2023-07-012.55
2023-08-012.58
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" + ], + "text/plain": [ + " Price\n", + "Month \n", + "2023-04-01 2.16\n", + "2023-05-01 2.15\n", + "2023-06-01 2.18\n", + "2023-07-01 2.55\n", + "2023-08-01 2.58" + ] + }, + "execution_count": 101, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "test.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 102, + "id": "9914eac3", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "\n", + "\n", + "fig, ax = plt.subplots(figsize=(15, 5)) \n", + "\n", + "train.plot(ax=ax, label=\"Train data\")\n", + "test.plot(ax=ax, label=\"Test data\")\n", + "\n", + "ax.axvline(\"2023-04-01\", color=\"black\", linestyle=\"--\", label=\"Split Date\") # ✅ pass an actual date value\n", + "\n", + "ax.legend()\n", + "plt.title(\"Train/Test Split\")\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "547fd4c4", + "metadata": {}, + "source": [ + "# Applying pmdarima to automatically detect the order of ARIMA " + ] + }, + { + "cell_type": "code", + "execution_count": 103, + "id": "fadf6b97", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
 ARIMA(2,1,3)(0,0,0)[0] intercept
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" + ], + "text/plain": [ + "ARIMA(order=(2, 1, 3), scoring_args={}, suppress_warnings=True)" + ] + }, + "execution_count": 103, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import pmdarima as pm\n", + "import warnings\n", + "warnings.filterwarnings(\"ignore\", category=FutureWarning, module=\"sklearn.utils\")\n", + "\n", + "auto_arima = pm.auto_arima(train , stepwise=False, seasonal=False)\n", + "auto_arima\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 104, + "id": "acb381ed", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "
SARIMAX Results
Dep. Variable: y No. Observations: 315
Model: SARIMAX(2, 1, 3) Log Likelihood -361.428
Date: Tue, 01 Jul 2025 AIC 736.856
Time: 22:10:51 BIC 763.102
Sample: 01-01-1997 HQIC 747.343
- 03-01-2023
Covariance Type: opg
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coef std err z P>|z| [0.025 0.975]
intercept -0.0089 0.099 -0.089 0.929 -0.204 0.186
ar.L1 -0.1858 0.025 -7.447 0.000 -0.235 -0.137
ar.L2 -0.9739 0.025 -38.301 0.000 -1.024 -0.924
ma.L1 0.1531 0.045 3.393 0.001 0.065 0.242
ma.L2 0.9707 0.034 28.857 0.000 0.905 1.037
ma.L3 0.0222 0.037 0.603 0.547 -0.050 0.094
sigma2 0.5828 0.027 21.265 0.000 0.529 0.636
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Ljung-Box (L1) (Q): 0.00 Jarque-Bera (JB): 508.45
Prob(Q): 0.99 Prob(JB): 0.00
Heteroskedasticity (H): 0.73 Skew: -0.51
Prob(H) (two-sided): 0.11 Kurtosis: 9.15


Warnings:
[1] Covariance matrix calculated using the outer product of gradients (complex-step)." + ], + "text/latex": [ + "\\begin{center}\n", + "\\begin{tabular}{lclc}\n", + "\\toprule\n", + "\\textbf{Dep. Variable:} & y & \\textbf{ No. Observations: } & 315 \\\\\n", + "\\textbf{Model:} & SARIMAX(2, 1, 3) & \\textbf{ Log Likelihood } & -361.428 \\\\\n", + "\\textbf{Date:} & Tue, 01 Jul 2025 & \\textbf{ AIC } & 736.856 \\\\\n", + "\\textbf{Time:} & 22:10:51 & \\textbf{ BIC } & 763.102 \\\\\n", + "\\textbf{Sample:} & 01-01-1997 & \\textbf{ HQIC } & 747.343 \\\\\n", + "\\textbf{} & - 03-01-2023 & \\textbf{ } & \\\\\n", + "\\textbf{Covariance Type:} & opg & \\textbf{ } & \\\\\n", + "\\bottomrule\n", + "\\end{tabular}\n", + "\\begin{tabular}{lcccccc}\n", + " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", + "\\midrule\n", + "\\textbf{intercept} & -0.0089 & 0.099 & -0.089 & 0.929 & -0.204 & 0.186 \\\\\n", + "\\textbf{ar.L1} & -0.1858 & 0.025 & -7.447 & 0.000 & -0.235 & -0.137 \\\\\n", + "\\textbf{ar.L2} & -0.9739 & 0.025 & -38.301 & 0.000 & -1.024 & -0.924 \\\\\n", + "\\textbf{ma.L1} & 0.1531 & 0.045 & 3.393 & 0.001 & 0.065 & 0.242 \\\\\n", + "\\textbf{ma.L2} & 0.9707 & 0.034 & 28.857 & 0.000 & 0.905 & 1.037 \\\\\n", + "\\textbf{ma.L3} & 0.0222 & 0.037 & 0.603 & 0.547 & -0.050 & 0.094 \\\\\n", + "\\textbf{sigma2} & 0.5828 & 0.027 & 21.265 & 0.000 & 0.529 & 0.636 \\\\\n", + "\\bottomrule\n", + "\\end{tabular}\n", + "\\begin{tabular}{lclc}\n", + "\\textbf{Ljung-Box (L1) (Q):} & 0.00 & \\textbf{ Jarque-Bera (JB): } & 508.45 \\\\\n", + "\\textbf{Prob(Q):} & 0.99 & \\textbf{ Prob(JB): } & 0.00 \\\\\n", + "\\textbf{Heteroskedasticity (H):} & 0.73 & \\textbf{ Skew: } & -0.51 \\\\\n", + "\\textbf{Prob(H) (two-sided):} & 0.11 & \\textbf{ Kurtosis: } & 9.15 \\\\\n", + "\\bottomrule\n", + "\\end{tabular}\n", + "%\\caption{SARIMAX Results}\n", + "\\end{center}\n", + "\n", + "Warnings: \\newline\n", + " [1] Covariance matrix calculated using the outer product of gradients (complex-step)." + ], + "text/plain": [ + "\n", + "\"\"\"\n", + " SARIMAX Results \n", + "==============================================================================\n", + "Dep. Variable: y No. Observations: 315\n", + "Model: SARIMAX(2, 1, 3) Log Likelihood -361.428\n", + "Date: Tue, 01 Jul 2025 AIC 736.856\n", + "Time: 22:10:51 BIC 763.102\n", + "Sample: 01-01-1997 HQIC 747.343\n", + " - 03-01-2023 \n", + "Covariance Type: opg \n", + "==============================================================================\n", + " coef std err z P>|z| [0.025 0.975]\n", + "------------------------------------------------------------------------------\n", + "intercept -0.0089 0.099 -0.089 0.929 -0.204 0.186\n", + "ar.L1 -0.1858 0.025 -7.447 0.000 -0.235 -0.137\n", + "ar.L2 -0.9739 0.025 -38.301 0.000 -1.024 -0.924\n", + "ma.L1 0.1531 0.045 3.393 0.001 0.065 0.242\n", + "ma.L2 0.9707 0.034 28.857 0.000 0.905 1.037\n", + "ma.L3 0.0222 0.037 0.603 0.547 -0.050 0.094\n", + "sigma2 0.5828 0.027 21.265 0.000 0.529 0.636\n", + "===================================================================================\n", + "Ljung-Box (L1) (Q): 0.00 Jarque-Bera (JB): 508.45\n", + "Prob(Q): 0.99 Prob(JB): 0.00\n", + "Heteroskedasticity (H): 0.73 Skew: -0.51\n", + "Prob(H) (two-sided): 0.11 Kurtosis: 9.15\n", + "===================================================================================\n", + "\n", + "Warnings:\n", + "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n", + "\"\"\"" + ] + }, + "execution_count": 104, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "auto_arima.summary()" + ] + }, + { + "cell_type": "markdown", + "id": "2185178a", + "metadata": {}, + "source": [ + "# Modeling with auto detected order (2,1,3)" + ] + }, + { + "cell_type": "code", + "execution_count": 105, + "id": "4aff6192", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "i:\\CQAI\\TSA\\.venv\\Lib\\site-packages\\statsmodels\\tsa\\base\\tsa_model.py:473: ValueWarning: No frequency information was provided, so inferred frequency MS will be used.\n", + " self._init_dates(dates, freq)\n", + "i:\\CQAI\\TSA\\.venv\\Lib\\site-packages\\statsmodels\\tsa\\base\\tsa_model.py:473: ValueWarning: No frequency information was provided, so inferred frequency MS will be used.\n", + " self._init_dates(dates, freq)\n", + "i:\\CQAI\\TSA\\.venv\\Lib\\site-packages\\statsmodels\\tsa\\base\\tsa_model.py:473: ValueWarning: No frequency information was provided, so inferred frequency MS will be used.\n", + " self._init_dates(dates, freq)\n" + ] + }, + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "
SARIMAX Results
Dep. Variable: Price No. Observations: 315
Model: ARIMA(2, 1, 3) Log Likelihood -361.432
Date: Tue, 01 Jul 2025 AIC 734.865
Time: 22:11:06 BIC 757.361
Sample: 01-01-1997 HQIC 743.854
- 03-01-2023
Covariance Type: opg
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coef std err z P>|z| [0.025 0.975]
ar.L1 -0.1857 0.025 -7.547 0.000 -0.234 -0.137
ar.L2 -0.9738 0.025 -38.471 0.000 -1.023 -0.924
ma.L1 0.1529 0.045 3.408 0.001 0.065 0.241
ma.L2 0.9710 0.033 29.374 0.000 0.906 1.036
ma.L3 0.0221 0.036 0.620 0.535 -0.048 0.092
sigma2 0.5828 0.027 21.474 0.000 0.530 0.636
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Ljung-Box (L1) (Q): 0.00 Jarque-Bera (JB): 508.01
Prob(Q): 0.99 Prob(JB): 0.00
Heteroskedasticity (H): 0.73 Skew: -0.51
Prob(H) (two-sided): 0.11 Kurtosis: 9.15


Warnings:
[1] Covariance matrix calculated using the outer product of gradients (complex-step)." + ], + "text/latex": [ + "\\begin{center}\n", + "\\begin{tabular}{lclc}\n", + "\\toprule\n", + "\\textbf{Dep. Variable:} & Price & \\textbf{ No. Observations: } & 315 \\\\\n", + "\\textbf{Model:} & ARIMA(2, 1, 3) & \\textbf{ Log Likelihood } & -361.432 \\\\\n", + "\\textbf{Date:} & Tue, 01 Jul 2025 & \\textbf{ AIC } & 734.865 \\\\\n", + "\\textbf{Time:} & 22:11:06 & \\textbf{ BIC } & 757.361 \\\\\n", + "\\textbf{Sample:} & 01-01-1997 & \\textbf{ HQIC } & 743.854 \\\\\n", + "\\textbf{} & - 03-01-2023 & \\textbf{ } & \\\\\n", + "\\textbf{Covariance Type:} & opg & \\textbf{ } & \\\\\n", + "\\bottomrule\n", + "\\end{tabular}\n", + "\\begin{tabular}{lcccccc}\n", + " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", + "\\midrule\n", + "\\textbf{ar.L1} & -0.1857 & 0.025 & -7.547 & 0.000 & -0.234 & -0.137 \\\\\n", + "\\textbf{ar.L2} & -0.9738 & 0.025 & -38.471 & 0.000 & -1.023 & -0.924 \\\\\n", + "\\textbf{ma.L1} & 0.1529 & 0.045 & 3.408 & 0.001 & 0.065 & 0.241 \\\\\n", + "\\textbf{ma.L2} & 0.9710 & 0.033 & 29.374 & 0.000 & 0.906 & 1.036 \\\\\n", + "\\textbf{ma.L3} & 0.0221 & 0.036 & 0.620 & 0.535 & -0.048 & 0.092 \\\\\n", + "\\textbf{sigma2} & 0.5828 & 0.027 & 21.474 & 0.000 & 0.530 & 0.636 \\\\\n", + "\\bottomrule\n", + "\\end{tabular}\n", + "\\begin{tabular}{lclc}\n", + "\\textbf{Ljung-Box (L1) (Q):} & 0.00 & \\textbf{ Jarque-Bera (JB): } & 508.01 \\\\\n", + "\\textbf{Prob(Q):} & 0.99 & \\textbf{ Prob(JB): } & 0.00 \\\\\n", + "\\textbf{Heteroskedasticity (H):} & 0.73 & \\textbf{ Skew: } & -0.51 \\\\\n", + "\\textbf{Prob(H) (two-sided):} & 0.11 & \\textbf{ Kurtosis: } & 9.15 \\\\\n", + "\\bottomrule\n", + "\\end{tabular}\n", + "%\\caption{SARIMAX Results}\n", + "\\end{center}\n", + "\n", + "Warnings: \\newline\n", + " [1] Covariance matrix calculated using the outer product of gradients (complex-step)." + ], + "text/plain": [ + "\n", + "\"\"\"\n", + " SARIMAX Results \n", + "==============================================================================\n", + "Dep. Variable: Price No. Observations: 315\n", + "Model: ARIMA(2, 1, 3) Log Likelihood -361.432\n", + "Date: Tue, 01 Jul 2025 AIC 734.865\n", + "Time: 22:11:06 BIC 757.361\n", + "Sample: 01-01-1997 HQIC 743.854\n", + " - 03-01-2023 \n", + "Covariance Type: opg \n", + "==============================================================================\n", + " coef std err z P>|z| [0.025 0.975]\n", + "------------------------------------------------------------------------------\n", + "ar.L1 -0.1857 0.025 -7.547 0.000 -0.234 -0.137\n", + "ar.L2 -0.9738 0.025 -38.471 0.000 -1.023 -0.924\n", + "ma.L1 0.1529 0.045 3.408 0.001 0.065 0.241\n", + "ma.L2 0.9710 0.033 29.374 0.000 0.906 1.036\n", + "ma.L3 0.0221 0.036 0.620 0.535 -0.048 0.092\n", + "sigma2 0.5828 0.027 21.474 0.000 0.530 0.636\n", + "===================================================================================\n", + "Ljung-Box (L1) (Q): 0.00 Jarque-Bera (JB): 508.01\n", + "Prob(Q): 0.99 Prob(JB): 0.00\n", + "Heteroskedasticity (H): 0.73 Skew: -0.51\n", + "Prob(H) (two-sided): 0.11 Kurtosis: 9.15\n", + "===================================================================================\n", + "\n", + "Warnings:\n", + "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n", + "\"\"\"" + ] + }, + "execution_count": 105, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from statsmodels.tsa.arima.model import ARIMA\n", + "model1=ARIMA(train[\"Price\"],order=(2,1,3))\n", + "model1=model1.fit()\n", + "model1.summary()" + ] + }, + { + "cell_type": "code", + "execution_count": 106, + "id": "a0fbd2a4", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "i:\\CQAI\\TSA\\.venv\\Lib\\site-packages\\statsmodels\\tsa\\base\\tsa_model.py:473: ValueWarning: No frequency information was provided, so inferred frequency MS will be used.\n", + " self._init_dates(dates, freq)\n", + "i:\\CQAI\\TSA\\.venv\\Lib\\site-packages\\statsmodels\\tsa\\base\\tsa_model.py:473: ValueWarning: No frequency information was provided, so inferred frequency MS will be used.\n", + " self._init_dates(dates, freq)\n", + "i:\\CQAI\\TSA\\.venv\\Lib\\site-packages\\statsmodels\\tsa\\base\\tsa_model.py:473: ValueWarning: No frequency information was provided, so inferred frequency MS will be used.\n", + " self._init_dates(dates, freq)\n", + "i:\\CQAI\\TSA\\.venv\\Lib\\site-packages\\statsmodels\\base\\model.py:607: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n", + " warnings.warn(\"Maximum Likelihood optimization failed to \"\n" + ] + }, + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "
SARIMAX Results
Dep. Variable: Price No. Observations: 315
Model: ARIMA(5, 1, 9) Log Likelihood -352.183
Date: Tue, 01 Jul 2025 AIC 734.366
Time: 22:11:21 BIC 790.607
Sample: 01-01-1997 HQIC 756.839
- 03-01-2023
Covariance Type: opg
\n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "
coef std err z P>|z| [0.025 0.975]
ar.L1 0.1345 1.593 0.084 0.933 -2.989 3.258
ar.L2 -0.1473 0.518 -0.284 0.776 -1.163 0.868
ar.L3 0.1049 0.403 0.261 0.794 -0.684 0.894
ar.L4 0.6902 0.129 5.347 0.000 0.437 0.943
ar.L5 -0.3420 1.194 -0.286 0.775 -2.683 1.999
ma.L1 -0.1747 1.593 -0.110 0.913 -3.297 2.947
ma.L2 0.1443 0.457 0.315 0.752 -0.752 1.041
ma.L3 -0.0987 0.374 -0.264 0.792 -0.832 0.634
ma.L4 -0.7008 0.137 -5.102 0.000 -0.970 -0.432
ma.L5 0.1996 1.199 0.166 0.868 -2.150 2.550
ma.L6 -0.0030 0.279 -0.011 0.991 -0.549 0.543
ma.L7 -0.1204 0.140 -0.859 0.390 -0.395 0.154
ma.L8 -0.0148 0.241 -0.062 0.951 -0.488 0.458
ma.L9 -0.0200 0.137 -0.146 0.884 -0.288 0.248
sigma2 0.5478 0.030 18.469 0.000 0.490 0.606
\n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "
Ljung-Box (L1) (Q): 0.01 Jarque-Bera (JB): 384.87
Prob(Q): 0.94 Prob(JB): 0.00
Heteroskedasticity (H): 0.72 Skew: 0.02
Prob(H) (two-sided): 0.09 Kurtosis: 8.42


Warnings:
[1] Covariance matrix calculated using the outer product of gradients (complex-step)." + ], + "text/latex": [ + "\\begin{center}\n", + "\\begin{tabular}{lclc}\n", + "\\toprule\n", + "\\textbf{Dep. Variable:} & Price & \\textbf{ No. Observations: } & 315 \\\\\n", + "\\textbf{Model:} & ARIMA(5, 1, 9) & \\textbf{ Log Likelihood } & -352.183 \\\\\n", + "\\textbf{Date:} & Tue, 01 Jul 2025 & \\textbf{ AIC } & 734.366 \\\\\n", + "\\textbf{Time:} & 22:11:21 & \\textbf{ BIC } & 790.607 \\\\\n", + "\\textbf{Sample:} & 01-01-1997 & \\textbf{ HQIC } & 756.839 \\\\\n", + "\\textbf{} & - 03-01-2023 & \\textbf{ } & \\\\\n", + "\\textbf{Covariance Type:} & opg & \\textbf{ } & \\\\\n", + "\\bottomrule\n", + "\\end{tabular}\n", + "\\begin{tabular}{lcccccc}\n", + " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", + "\\midrule\n", + "\\textbf{ar.L1} & 0.1345 & 1.593 & 0.084 & 0.933 & -2.989 & 3.258 \\\\\n", + "\\textbf{ar.L2} & -0.1473 & 0.518 & -0.284 & 0.776 & -1.163 & 0.868 \\\\\n", + "\\textbf{ar.L3} & 0.1049 & 0.403 & 0.261 & 0.794 & -0.684 & 0.894 \\\\\n", + "\\textbf{ar.L4} & 0.6902 & 0.129 & 5.347 & 0.000 & 0.437 & 0.943 \\\\\n", + "\\textbf{ar.L5} & -0.3420 & 1.194 & -0.286 & 0.775 & -2.683 & 1.999 \\\\\n", + "\\textbf{ma.L1} & -0.1747 & 1.593 & -0.110 & 0.913 & -3.297 & 2.947 \\\\\n", + "\\textbf{ma.L2} & 0.1443 & 0.457 & 0.315 & 0.752 & -0.752 & 1.041 \\\\\n", + "\\textbf{ma.L3} & -0.0987 & 0.374 & -0.264 & 0.792 & -0.832 & 0.634 \\\\\n", + "\\textbf{ma.L4} & -0.7008 & 0.137 & -5.102 & 0.000 & -0.970 & -0.432 \\\\\n", + "\\textbf{ma.L5} & 0.1996 & 1.199 & 0.166 & 0.868 & -2.150 & 2.550 \\\\\n", + "\\textbf{ma.L6} & -0.0030 & 0.279 & -0.011 & 0.991 & -0.549 & 0.543 \\\\\n", + "\\textbf{ma.L7} & -0.1204 & 0.140 & -0.859 & 0.390 & -0.395 & 0.154 \\\\\n", + "\\textbf{ma.L8} & -0.0148 & 0.241 & -0.062 & 0.951 & -0.488 & 0.458 \\\\\n", + "\\textbf{ma.L9} & -0.0200 & 0.137 & -0.146 & 0.884 & -0.288 & 0.248 \\\\\n", + "\\textbf{sigma2} & 0.5478 & 0.030 & 18.469 & 0.000 & 0.490 & 0.606 \\\\\n", + "\\bottomrule\n", + "\\end{tabular}\n", + "\\begin{tabular}{lclc}\n", + "\\textbf{Ljung-Box (L1) (Q):} & 0.01 & \\textbf{ Jarque-Bera (JB): } & 384.87 \\\\\n", + "\\textbf{Prob(Q):} & 0.94 & \\textbf{ Prob(JB): } & 0.00 \\\\\n", + "\\textbf{Heteroskedasticity (H):} & 0.72 & \\textbf{ Skew: } & 0.02 \\\\\n", + "\\textbf{Prob(H) (two-sided):} & 0.09 & \\textbf{ Kurtosis: } & 8.42 \\\\\n", + "\\bottomrule\n", + "\\end{tabular}\n", + "%\\caption{SARIMAX Results}\n", + "\\end{center}\n", + "\n", + "Warnings: \\newline\n", + " [1] Covariance matrix calculated using the outer product of gradients (complex-step)." + ], + "text/plain": [ + "\n", + "\"\"\"\n", + " SARIMAX Results \n", + "==============================================================================\n", + "Dep. Variable: Price No. Observations: 315\n", + "Model: ARIMA(5, 1, 9) Log Likelihood -352.183\n", + "Date: Tue, 01 Jul 2025 AIC 734.366\n", + "Time: 22:11:21 BIC 790.607\n", + "Sample: 01-01-1997 HQIC 756.839\n", + " - 03-01-2023 \n", + "Covariance Type: opg \n", + "==============================================================================\n", + " coef std err z P>|z| [0.025 0.975]\n", + "------------------------------------------------------------------------------\n", + "ar.L1 0.1345 1.593 0.084 0.933 -2.989 3.258\n", + "ar.L2 -0.1473 0.518 -0.284 0.776 -1.163 0.868\n", + "ar.L3 0.1049 0.403 0.261 0.794 -0.684 0.894\n", + "ar.L4 0.6902 0.129 5.347 0.000 0.437 0.943\n", + "ar.L5 -0.3420 1.194 -0.286 0.775 -2.683 1.999\n", + "ma.L1 -0.1747 1.593 -0.110 0.913 -3.297 2.947\n", + "ma.L2 0.1443 0.457 0.315 0.752 -0.752 1.041\n", + "ma.L3 -0.0987 0.374 -0.264 0.792 -0.832 0.634\n", + "ma.L4 -0.7008 0.137 -5.102 0.000 -0.970 -0.432\n", + "ma.L5 0.1996 1.199 0.166 0.868 -2.150 2.550\n", + "ma.L6 -0.0030 0.279 -0.011 0.991 -0.549 0.543\n", + "ma.L7 -0.1204 0.140 -0.859 0.390 -0.395 0.154\n", + "ma.L8 -0.0148 0.241 -0.062 0.951 -0.488 0.458\n", + "ma.L9 -0.0200 0.137 -0.146 0.884 -0.288 0.248\n", + "sigma2 0.5478 0.030 18.469 0.000 0.490 0.606\n", + "===================================================================================\n", + "Ljung-Box (L1) (Q): 0.01 Jarque-Bera (JB): 384.87\n", + "Prob(Q): 0.94 Prob(JB): 0.00\n", + "Heteroskedasticity (H): 0.72 Skew: 0.02\n", + "Prob(H) (two-sided): 0.09 Kurtosis: 8.42\n", + "===================================================================================\n", + "\n", + "Warnings:\n", + "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n", + "\"\"\"" + ] + }, + "execution_count": 106, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from statsmodels.tsa.arima.model import ARIMA\n", + "model2=ARIMA(train[\"Price\"],order=(5,1,9))\n", + "model2=model2.fit()\n", + "model2.summary()" + ] + }, + { + "cell_type": "markdown", + "id": "37000c31", + "metadata": {}, + "source": [ + "# Plot residuals and density plot to determine the model fit" + ] + }, + { + "cell_type": "code", + "execution_count": 107, + "id": "a59d1f63", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "residuals = model1.resid[1:]\n", + "fig, ax = plt.subplots(1,2)\n", + "residuals.plot(title='Residuals',ax=ax[0])\n", + "residuals.plot(title='Density',kind='kde',ax=ax[1])\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 108, + "id": "d9b90aeb", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "residuals = model2.resid[1:]\n", + "fig, ax = plt.subplots(1,2)\n", + "residuals.plot(title='Residuals',ax=ax[0])\n", + "residuals.plot(title='Density',kind='kde',ax=ax[1])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "c9d33ee5", + "metadata": {}, + "source": [ + "# Forecasting on test data" + ] + }, + { + "cell_type": "code", + "execution_count": 109, + "id": "8d62f7c9", + "metadata": {}, + "outputs": [], + "source": [ + "start=len(train)\n", + "end=len(train)+len(test)-1\n", + "pred1=model1.predict(start=start,end=end).rename('ARIMA Predictions')\n" + ] + }, + { + "cell_type": "code", + "execution_count": 110, + "id": "eba227cd", + "metadata": {}, + "outputs": [], + "source": [ + "start=len(train)\n", + "end=len(train)+len(test)-1\n", + "pred2=model2.predict(start=start,end=end).rename('ARIMA Predictions')\n" + ] + }, + { + "cell_type": "markdown", + "id": "8cc4e8e5", + "metadata": {}, + "source": [ + "\n", + "# Forecast vs Original" + ] + }, + { + "cell_type": "code", + "execution_count": 111, + "id": "c7337795", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(12,6))\n", + "plt.plot(test.index, test, label='Actual',color='green')\n", + "plt.plot(test.index,pred1, label='Model1_Forecast', color='blue')\n", + "plt.plot(test.index,pred2, label='Model2_Forecast', color='purple')\n", + "plt.title('ARIMA Forecast vs Actual')\n", + "plt.xlabel('Date')\n", + "plt.ylabel('price')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "18c178c8", + "metadata": {}, + "source": [ + "# Evaluate" + ] + }, + { + "cell_type": "code", + "execution_count": 112, + "id": "e35356a6", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Rmse Model 1: 0.8705761240583564\n", + "Rmse Model 2: 1.2196265620353175\n", + "Mean: 2.586\n" + ] + } + ], + "source": [ + "from sklearn.metrics import mean_squared_error\n", + "from math import sqrt\n", + "mean =test[col].mean()\n", + "rmse1=sqrt(mean_squared_error(pred1,test[col]))\n", + "rmse2=sqrt(mean_squared_error(pred2,test[col]))\n", + "print(\"Rmse Model 1:\",rmse1)\n", + "print(\"Rmse Model 2:\",rmse2)\n", + "print(\"Mean:\" ,mean)" + ] + }, + { + "cell_type": "markdown", + "id": "2e8706ab", + "metadata": {}, + "source": [ + "# Volatility Modeling : \n", + "\n", + "### Perform Arch test to determine conditioanl volatiltiy" + ] + }, + { + "cell_type": "code", + "execution_count": 113, + "id": "851caeff", + "metadata": {}, + "outputs": [], + "source": [ + "# Both arch and garch require the data to be stationary in mean so we use the earlier differnced prices\n", + "col=\"Price_diff\"" + ] + }, + { + "cell_type": "code", + "execution_count": 114, + "id": "fad8f395", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Arch effects present\n", + "P-value: 1.2061436044318845e-09\n" + ] + } + ], + "source": [ + "# ARCH test\n", + "from statsmodels.stats.diagnostic import het_arch\n", + "arch_test = het_arch(ts[col].dropna())\n", + "if arch_test[1]<0.05: \n", + " print(\"Arch effects present\")\n", + "else:\n", + " print(\"Arch effects not present\")\n", + "\n", + "print(\"P-value: \", arch_test[1])" + ] + }, + { + "cell_type": "markdown", + "id": "3ac707e1", + "metadata": {}, + "source": [ + "# GARCH Model Order Selection Using AIC\n", + "\n", + "- This code searches for the **optimal GARCH(p, q)** model by testing different combinations of `p` and `q` from 1 to 9.\n", + "- It fits each model to the **training portion of the returns series** (excluding the last 24 points as test data).\n", + "- For each model, it computes the **Akaike Information Criterion (AIC)** and keeps track of the model with the **lowest AIC**, which indicates the best balance between fit and complexity.\n", + "- Finally, it outputs the `(p, q)` order of the GARCH model with the **(lowest) AIC value**.\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 115, + "id": "028ffa31", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Best (p,q) order by AIC: (1, 4)\n" + ] + } + ], + "source": [ + "from arch import arch_model\n", + "\n", + "test_size = 24\n", + "returns = ts[col].dropna()\n", + "train_data = returns[:-test_size] # Use all data except the last 365 days for training\n", + "\n", + "p_values = range(1, 10)\n", + "q_values = range(1, 10)\n", + "\n", + "best_aic = np.inf\n", + "best_order = None\n", + "\n", + "for p in p_values:\n", + " for q in q_values:\n", + " try:\n", + " model = arch_model(train_data, vol='GARCH', p=p, q=q)\n", + " model_fit = model.fit(disp='off')\n", + " if model_fit.aic < best_aic:\n", + " best_aic = model_fit.aic\n", + " best_order = (p, q) \n", + " except:\n", + " continue\n", + "\n", + "print(f\"Best (p,q) order by AIC: {best_order}\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 116, + "id": "ec29810c", + "metadata": {}, + "outputs": [], + "source": [ + "rolling_predictions = []\n", + "\n", + "p_best, q_best = best_order\n", + "for i in range(test_size):\n", + " train = returns[:-(test_size - i)]\n", + " model = arch_model(train, vol='GARCH', p=p_best, q=q_best)\n", + " model_fit = model.fit(disp='off')\n", + " pred = model_fit.forecast(horizon=1)\n", + " rolling_predictions.append(np.sqrt(pred.variance.values[-1, :][0]))\n" + ] + }, + { + "cell_type": "code", + "execution_count": 117, + "id": "8637cad7", + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "rolling_predictions = pd.Series(rolling_predictions, index=returns.index[-test_size:])" + ] + }, + { + "cell_type": "code", + "execution_count": 119, + "id": "ec9c726c", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 119, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10,4))\n", + "true, = plt.plot(returns[-test_size:])\n", + "preds, = plt.plot(rolling_predictions)\n", + "plt.title('Volatility Prediction ', fontsize=20)\n", + "plt.legend(['True Price', 'Predicted Volatility'], fontsize=16)" + ] + }, + { + "cell_type": "markdown", + "id": "0ec7db25", + "metadata": {}, + "source": [ + "#### **Note (with respect to the volatility plot):** \n", + "- The graph compares the **predicted volatility from the GARCH model** with the **true return series**.\n", + "- we do **not expect the predicted volatility to match the returns exactly**. \n", + "- Instead, the predicted volatility should **align with the periods of high and low fluctuations** in the return series — effectively capturing the **volatility spikes** and **quiet periods** observed in the actual data.\n" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": ".venv", + "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": "3.12.2" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +}