{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2020-09-21T14:52:25.485647Z", "start_time": "2020-09-21T14:52:23.743293Z" } }, "outputs": [], "source": [ "import warnings\n", "warnings.filterwarnings(\"ignore\")\n", "\n", "import numpy as np\n", "import pandas as pd\n", "import pandas_datareader.data as web\n", "import scipy.stats as scs\n", "\n", "import matplotlib as mpl\n", "from matplotlib import cm\n", "import matplotlib.pyplot as plt\n", "from matplotlib.dates import YearLocator, MonthLocator\n", "import seaborn as sns\n", "import os, gc, sys\n", "%matplotlib inline\n", "\n", "import sklearn.mixture as mix\n", "from markovchain_plot import MarkovChain\n", "from hmmlearn.hmm import GaussianHMM\n", "\n", "from tqdm import tqdm\n", "import datetime\n", "\n", "SEED = 515\n", "\n", "np.set_printoptions(precision=8, suppress=True, threshold=np.inf)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Markov sample visualization" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2020-09-21T14:52:25.600313Z", "start_time": "2020-09-21T14:52:25.490645Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "P = np.array([[0.5, 0.5], \n", " [0.1, 0.9]]) \n", "mc = MarkovChain(P, ['A', 'B'])\n", "mc.draw()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2020-09-21T14:52:25.780242Z", "start_time": "2020-09-21T14:52:25.600313Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "P = np.array([[0.3, 0.3, 0.2, 0.2], \n", " [0.1, 0.05, 0.05, 0.8],\n", " [0.5, 0.1, 0.2, 0.2],\n", " [0.4, 0.1, 0.45, 0.05]\n", " ]) \n", "mc = MarkovChain(P, ['A', 'B', 'C', 'D'])\n", "mc.draw()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Markov chain application\n", "\n", "The example is based on Fraud detection. Assuming that we have 1-year performance of portfolio, we can compute the path (i.e. P(Good Loans -> Bad Loans) = 3%) and construct the transition matrix, in this example, based on the portfolio, we can have Good Loans, Risky Loans, Bad Loans, and Paid-Up.\n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2020-09-21T14:52:25.970345Z", "start_time": "2020-09-21T14:52:25.780242Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "P = np.array([[0.75, 0.06, 0.15, 0.04], \n", " [0.05, 0.58, 0.02, 0.35],\n", " [0.0, 0.0, 1.0, 0.0],\n", " [0.0, 0.0, 0.0, 1.0]\n", " ]) \n", "mc = MarkovChain(P, ['GL', 'RL', 'PU', 'BL'])\n", "mc.draw()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's simulate three different portfolios" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2020-09-21T14:52:25.980458Z", "start_time": "2020-09-21T14:52:25.970345Z" } }, "outputs": [], "source": [ "portA = np.array([0.9, 0.1, 0, 0])\n", "portB = np.array([0.5, 0.5, 0, 0])\n", "portC = np.array([0.2, 0.8, 0, 0])" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2020-09-21T14:52:26.000680Z", "start_time": "2020-09-21T14:52:25.982564Z" } }, "outputs": [], "source": [ "def simulate_loan_result(port: np.ndarray, n_year: int):\n", " print(f'Starting port consists of Good loans: {port[0]}, risky loan: {port[1]}')\n", " for i in range(1, n_year+1):\n", " if i == 1:\n", " _out = np.dot(port, P)\n", " \n", " else:\n", " _out = np.dot(_out, P)\n", " \n", " _out = np.round(_out, 6)\n", " print(f'Year {i}: probs are {_out}; Paid up: {_out[2]}, Bad Loan: {_out[3]}')\n", " \n", " return None\n", "\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2020-09-21T14:52:26.060613Z", "start_time": "2020-09-21T14:52:26.000680Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Starting port consists of Good loans: 0.9, risky loan: 0.1\n", "Year 1: probs are [0.68 0.112 0.137 0.071]; Paid up: 0.137, Bad Loan: 0.071\n", "Year 2: probs are [0.5156 0.10576 0.24124 0.1374 ]; Paid up: 0.24124, Bad Loan: 0.1374\n", "Year 3: probs are [0.391988 0.092277 0.320695 0.19504 ]; Paid up: 0.320695, Bad Loan: 0.19504\n", "Year 4: probs are [0.298605 0.07704 0.381339 0.243016]; Paid up: 0.381339, Bad Loan: 0.243016\n", "Year 5: probs are [0.227806 0.062599 0.427671 0.281924]; Paid up: 0.427671, Bad Loan: 0.281924\n", "Year 6: probs are [0.173984 0.049976 0.463094 0.312946]; Paid up: 0.463094, Bad Loan: 0.312946\n", "Year 7: probs are [0.132987 0.039425 0.490191 0.337397]; Paid up: 0.490191, Bad Loan: 0.337397\n", "Year 8: probs are [0.101712 0.030846 0.510928 0.356515]; Paid up: 0.510928, Bad Loan: 0.356515\n", "Year 9: probs are [0.077826 0.023993 0.526802 0.37138 ]; Paid up: 0.526802, Bad Loan: 0.37138\n", "Year 10: probs are [0.059569 0.018586 0.538956 0.382891]; Paid up: 0.538956, Bad Loan: 0.382891\n", "Starting port consists of Good loans: 0.5, risky loan: 0.5\n", "Year 1: probs are [0.4 0.32 0.085 0.195]; Paid up: 0.085, Bad Loan: 0.195\n", "Year 2: probs are [0.316 0.2096 0.1514 0.323 ]; Paid up: 0.1514, Bad Loan: 0.323\n", "Year 3: probs are [0.24748 0.140528 0.202992 0.409 ]; Paid up: 0.202992, Bad Loan: 0.409\n", "Year 4: probs are [0.192636 0.096355 0.242925 0.468084]; Paid up: 0.242925, Bad Loan: 0.468084\n", "Year 5: probs are [0.149295 0.067444 0.273748 0.509514]; Paid up: 0.273748, Bad Loan: 0.509514\n", "Year 6: probs are [0.115343 0.048075 0.297491 0.539091]; Paid up: 0.297491, Bad Loan: 0.539091\n", "Year 7: probs are [0.088911 0.034804 0.315754 0.560531]; Paid up: 0.315754, Bad Loan: 0.560531\n", "Year 8: probs are [0.068423 0.025521 0.329787 0.576269]; Paid up: 0.329787, Bad Loan: 0.576269\n", "Year 9: probs are [0.052593 0.018908 0.340561 0.587938]; Paid up: 0.340561, Bad Loan: 0.587938\n", "Year 10: probs are [0.04039 0.014122 0.348828 0.59666 ]; Paid up: 0.348828, Bad Loan: 0.59666\n", "Starting port consists of Good loans: 0.2, risky loan: 0.8\n", "Year 1: probs are [0.19 0.476 0.046 0.288]; Paid up: 0.046, Bad Loan: 0.288\n", "Year 2: probs are [0.1663 0.28748 0.08402 0.4622 ]; Paid up: 0.08402, Bad Loan: 0.4622\n", "Year 3: probs are [0.139099 0.176716 0.114715 0.56947 ]; Paid up: 0.114715, Bad Loan: 0.56947\n", "Year 4: probs are [0.11316 0.110841 0.139114 0.636885]; Paid up: 0.139114, Bad Loan: 0.636885\n", "Year 5: probs are [0.090412 0.071077 0.158305 0.680206]; Paid up: 0.158305, Bad Loan: 0.680206\n", "Year 6: probs are [0.071363 0.046649 0.173288 0.708699]; Paid up: 0.173288, Bad Loan: 0.708699\n", "Year 7: probs are [0.055855 0.031338 0.184925 0.727881]; Paid up: 0.184925, Bad Loan: 0.727881\n", "Year 8: probs are [0.043458 0.021527 0.19393 0.741084]; Paid up: 0.19393, Bad Loan: 0.741084\n", "Year 9: probs are [0.03367 0.015093 0.200879 0.750357]; Paid up: 0.200879, Bad Loan: 0.750357\n", "Year 10: probs are [0.026007 0.010774 0.206231 0.756986]; Paid up: 0.206231, Bad Loan: 0.756986\n" ] } ], "source": [ "portA = np.array([0.9, 0.1, 0, 0])\n", "portB = np.array([0.5, 0.5, 0, 0])\n", "portC = np.array([0.2, 0.8, 0, 0])\n", "\n", "simulate_loan_result(portA, 10)\n", "simulate_loan_result(portB, 10)\n", "simulate_loan_result(portC, 10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Hidden Markov model for Regime Detection\n", "\n", "Let's see how HMM can be used in quantitative finance. Considering that the largest issue we face when trying to apply predictive techniques to asset returns is __nonstationary time series__. In brief, this means that the expected mean and volatility of asset returns changes over time.\n", "\n", "Most of the time series models and techniques assume that the data is stationary, which is a major weakness of these models.\n", "\n", "
\n", "\n", "Instead, let's frame the problem differently, we know that the time series exhibit temporary periods where the expected means and variances are stable through time. __These periods or regimes can be linked to hidden states of HMM__.\n", "\n", "If that is the case, then all we need are observable variables whose behavior allows us to _infer_ the true hidden states. If we can better estimate an asset's most likely regime, including the associated means and variances, then our predictive models become more adaptable and will likely improve. We can also use the estimated regime parameters for better scenario analysis.\n", "\n", "
\n", "\n", "In this example, the observable variables I use are: the underlying asset returns, the ICE BofA US High Yield Index Total Return Index, the Ted Spread, the 10 year - 2 year constant maturity spread, and the 10 year - 3 month constant maturity spread." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Getting the stock data starting from 2010 onwards" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2020-09-21T14:52:31.189797Z", "start_time": "2020-09-21T14:52:26.060613Z" } }, "outputs": [ { "data": { "text/html": [ "
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TEDRATET10Y2YT10Y3MBAMLHYH0A0HYM2TRIVGEsret
2010-01-040.172.763.77687.5610.7330570.020930
2010-01-050.182.763.70690.8910.7886320.005165
2010-01-060.192.843.79694.0310.733057-0.005165
2010-01-070.202.823.80697.4411.2888100.050484
2010-01-080.202.873.78698.7911.5319550.021310
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" ], "text/plain": [ " TEDRATE T10Y2Y T10Y3M BAMLHYH0A0HYM2TRIV GE sret\n", "2010-01-04 0.17 2.76 3.77 687.56 10.733057 0.020930\n", "2010-01-05 0.18 2.76 3.70 690.89 10.788632 0.005165\n", "2010-01-06 0.19 2.84 3.79 694.03 10.733057 -0.005165\n", "2010-01-07 0.20 2.82 3.80 697.44 11.288810 0.050484\n", "2010-01-08 0.20 2.87 3.78 698.79 11.531955 0.021310" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "mkt = 'GE' # stock to watch\n", "f1 = 'TEDRATE' # ted spread (ref: https://fred.stlouisfed.org/series/TEDRATE)\n", "f2 = 'T10Y2Y' # constant maturity ten yer - 2 year\n", "f3 = 'T10Y3M' # constant maturity 10yr - 3m\n", "f4 = 'BAMLHYH0A0HYM2TRIV' # ICE BofA US High Yield Index Total Return Index Value\n", "\n", "start = datetime.date(2010, 1, 1)\n", "end = datetime.date.today()\n", "\n", "mkt_df = web.DataReader([mkt], 'yahoo', start, end)['Adj Close']\\\n", " .rename(columns={mkt: mkt})\\\n", " .assign(sret=lambda x: np.log(x[mkt] / x[mkt].shift(1)))\\\n", " .dropna()\n", "\n", "data_df = web.DataReader([f1, f2, f3, f4], 'fred', start, end)\\\n", " .join(mkt_df, how='inner')\\\n", " .dropna()\n", "\n", "display(data_df.head(5))\n", "plt.figure(figsize=(10, 6))\n", "plt.plot(data_df[mkt])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this notebook, I will try using 2 methods: `sklearn's GaussianMixture` and `HMMLearn's GaussianHMM`.\n", "\n", "
\n", "\n", "Both models require us to specify the number of components to fit to the time series, these components can be thought of as regimes. For this specific example, we will assign 3 components and assume to be high, neural and low volatility." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2020-09-21T14:52:31.204790Z", "start_time": "2020-09-21T14:52:31.189797Z" } }, "outputs": [], "source": [ "N_COMPONENTS = 3\n", "COL_ = 'sret'\n", "FT_COLS = [f1, f2, f3, f4, COL_]\n", "\n", "def plot_in_sample_hidden_states(hmm_model, df, \n", " stock_col: str=mkt, return_col: str='sret'):\n", " \"\"\"\n", " Plot the adjusted closing prices masked by \n", " the in-sample hidden states as a mechanism\n", " to understand the market regimes.\n", " \"\"\"\n", " sret = np.column_stack([df[FT_COLS].values])\n", " hidden_states = hmm_model.predict(sret)\n", " \n", " fig, axs = plt.subplots(hmm_model.n_components, sharex=True, sharey=True,\n", " figsize=(18, 14))\n", " colours = cm.rainbow(np.linspace(0, 1, hmm_model.n_components))\n", " \n", " for i, (ax, colour) in enumerate(zip(axs, colours)):\n", " mask = hidden_states == i\n", " ax.plot_date(\n", " df.index[mask], \n", " df.loc[:, stock_col][mask], \n", " \".\", linestyle='none', \n", " c=colour\n", " )\n", " ax.set_title(\"Hidden State #%s\" % i)\n", " ax.xaxis.set_major_locator(YearLocator())\n", " ax.xaxis.set_minor_locator(MonthLocator())\n", " ax.grid(True)\n", " \n", " plt.show()\n", " return\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Gaussian Mixture\n", "\n", "We can `sklearn's GausianMixture` to fit the model that estimates these regimes. The mixture models implement a closely related unsupervised form of density estimation by utilizing the expectation-maximization algorithm to estimate the means and covariances of the hidden states." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2020-09-21T14:52:34.297568Z", "start_time": "2020-09-21T14:52:31.204790Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Means and vars of each hidden state\n", "0th hidden state\n", "mean: [ 0.24491265 1.71393026 2.13706315 1023.64314591 0.00044678]\n", "var: [ 0.00366962 0.20377661 0.17732556 2478.32230409 0.00012494]\n", "\n", "1th hidden state\n", "mean: [ 0.28091984 2.22513776 2.63867434 796.9280131 0.00059286]\n", "var: [ 0.01520551 0.23967626 0.47549917 3318.88528221 0.00029243]\n", "\n", "2th hidden state\n", "mean: [ 0.37893448 0.72545989 1.22761507 1226.50018711 -0.0019462 ]\n", "var: [ 0.01344434 0.10990187 0.12526898 2566.23861886 0.00033528]\n", "\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "train_df = data_df.loc[: '2019-01-01'].dropna()\n", "test_df = data_df.loc['2019-01-01': ].dropna()\n", "X_train = train_df[FT_COLS].values\n", "X_test = test_df[FT_COLS].values\n", "\n", "model = mix.GaussianMixture(n_components=N_COMPONENTS, \n", " covariance_type=\"full\", \n", " n_init=100, \n", " random_state=SEED).fit(X_train)\n", "\n", "# Predict the optimal sequence of internal hidden state\n", "hidden_states = model.predict(X_train)\n", "\n", "print(\"Means and vars of each hidden state\")\n", "for i in range(model.n_components):\n", " print(f'{i}th hidden state')\n", " print('mean: ', (model.means_[i]))\n", " print('var: ', np.diag(model.covariances_[i]))\n", " print()\n", "\n", "sns.set(font_scale=1.25)\n", "style_kwds = {'xtick.major.size': 3, 'ytick.major.size': 3, 'legend.frameon': True}\n", "sns.set_style('white', style_kwds)\n", "\n", "fig, axs = plt.subplots(model.n_components, sharex=True, sharey=True, figsize=(12,9))\n", "colors = cm.rainbow(np.linspace(0, 1, model.n_components))\n", "\n", "for i, (ax, color) in enumerate(zip(axs, colors)):\n", " # Use fancy indexing to plot data in each state.\n", " mask = hidden_states == i\n", " ax.plot_date(train_df.index.values[mask],\n", " train_df[COL_].values[mask],\n", " \".-\", c=color)\n", " ax.set_title(\"{0}th hidden state\".format(i), fontsize=16, fontweight='demi')\n", "\n", " # Format the ticks.\n", " ax.xaxis.set_major_locator(YearLocator())\n", " ax.xaxis.set_minor_locator(MonthLocator())\n", " sns.despine(offset=10)\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can refer to the last position in `mean` and `var` values, which referred to log return of the stock. This is the daily expected mean and variance of GE stock returns.\n", "\n", "
\n", "\n", "It appears the 1st hidden state represent the neutral volatility, the largest expected return and medium variance. The last hidden state represents the high volatility regime, with the highest variance with negative returns." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2020-09-21T14:52:35.326736Z", "start_time": "2020-09-21T14:52:34.297568Z" } }, "outputs": [ { "data": { "image/png": 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DatestatesTEDRATET10Y2YT10Y3MBAMLHYH0A0HYM2TRIVGEsretmkt_cret
02010-01-0410.172.763.77687.5610.7330570.0209300.020930
12010-01-0510.182.763.70690.8910.7886320.0051650.026094
22010-01-0610.192.843.79694.0310.733057-0.0051650.020930
32010-01-0710.202.823.80697.4411.2888100.0504840.071413
42010-01-0810.202.873.78698.7911.5319550.0213100.092723
\n", "
" ], "text/plain": [ " Date states TEDRATE T10Y2Y T10Y3M BAMLHYH0A0HYM2TRIV GE \\\n", "0 2010-01-04 1 0.17 2.76 3.77 687.56 10.733057 \n", "1 2010-01-05 1 0.18 2.76 3.70 690.89 10.788632 \n", "2 2010-01-06 1 0.19 2.84 3.79 694.03 10.733057 \n", "3 2010-01-07 1 0.20 2.82 3.80 697.44 11.288810 \n", "4 2010-01-08 1 0.20 2.87 3.78 698.79 11.531955 \n", "\n", " sret mkt_cret \n", "0 0.020930 0.020930 \n", "1 0.005165 0.026094 \n", "2 -0.005165 0.020930 \n", "3 0.050484 0.071413 \n", "4 0.021310 0.092723 " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.set(font_scale=1.5)\n", "states = (pd.DataFrame(hidden_states, columns=['states'], index=train_df.index)\n", " .join(train_df, how='inner')\n", " .assign(mkt_cret=train_df.sret.cumsum())\n", " .reset_index(drop=False)\n", " .rename(columns={'index':'Date'}))\n", "display(states.head())\n", "\n", "sns.set_style('white', style_kwds)\n", "order = np.arange(model.n_components)\n", "fg = sns.FacetGrid(data=states, hue='states', hue_order=order,\n", " palette=colors, aspect=1.31, height=12)\n", "fg.map(plt.scatter, 'Date', mkt, alpha=0.8).add_legend()\n", "sns.despine(offset=10)\n", "fg.fig.suptitle(f'Historical {mkt} Regimes', fontsize=24, fontweight='demi')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2020-09-21T14:52:36.180395Z", "start_time": "2020-09-21T14:52:35.789170Z" } }, "outputs": [ { "data": { "text/html": [ "
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DatestatesTEDRATET10Y2YT10Y3MBAMLHYH0A0HYM2TRIVGEsretmkt_cret
02019-01-0220.420.160.241234.577.6902490.0614790.061479
12019-01-0320.440.170.151236.017.6998020.0012410.062720
22019-01-0420.430.170.251249.587.8622050.0208730.083593
32019-01-0720.390.170.251259.248.3494130.0601240.143717
42019-01-0820.370.150.271265.778.177457-0.0208100.122907
\n", "
" ], "text/plain": [ " Date states TEDRATE T10Y2Y T10Y3M BAMLHYH0A0HYM2TRIV GE \\\n", "0 2019-01-02 2 0.42 0.16 0.24 1234.57 7.690249 \n", "1 2019-01-03 2 0.44 0.17 0.15 1236.01 7.699802 \n", "2 2019-01-04 2 0.43 0.17 0.25 1249.58 7.862205 \n", "3 2019-01-07 2 0.39 0.17 0.25 1259.24 8.349413 \n", "4 2019-01-08 2 0.37 0.15 0.27 1265.77 8.177457 \n", "\n", " sret mkt_cret \n", "0 0.061479 0.061479 \n", "1 0.001241 0.062720 \n", "2 0.020873 0.083593 \n", "3 0.060124 0.143717 \n", "4 -0.020810 0.122907 " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "hidden_states_test = model.predict(X_test)\n", "sns.set(font_scale=1.5)\n", "states = (pd.DataFrame(hidden_states_test, columns=['states'], index=test_df.index)\n", " .join(test_df, how='inner')\n", " .assign(mkt_cret=test_df.sret.cumsum())\n", " .reset_index(drop=False)\n", " .rename(columns={'index':'Date'}))\n", "display(states.head())\n", "\n", "sns.set_style('white', style_kwds)\n", "order = np.arange(model.n_components)\n", "fg = sns.FacetGrid(data=states, hue='states', hue_order=order,\n", " palette=colors, aspect=1.31, height=12)\n", "fg.map(plt.scatter, 'Date', mkt, alpha=0.8).add_legend()\n", "sns.despine(offset=10)\n", "fg.fig.suptitle(f'Historical {mkt} Regimes', fontsize=24, fontweight='demi')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### HMMLearn Gaussian HMM\n", "\n", "For more information on the library, please refer to this [link](https://hmmlearn.readthedocs.io/en/latest/)." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2020-09-21T14:52:37.428000Z", "start_time": "2020-09-21T14:52:36.180395Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Means and vars of each hidden state\n", "0th hidden state\n", "mean: [ 0.23302032 1.7726992 2.19477445 1023.32417097 0.00049585]\n", "var: [ 0.00223758 0.17899452 0.15339612 2221.03529757 0.00014059]\n", "\n", "1th hidden state\n", "mean: [ 0.2824665 2.20007519 2.60616172 799.94536338 0.00058258]\n", "var: [ 0.01485633 0.25386443 0.49726499 3527.98924267 0.00029987]\n", "\n", "2th hidden state\n", "mean: [ 0.37959073 0.7488505 1.25275492 1212.23437408 -0.0017892 ]\n", "var: [ 0.01234217 0.1060428 0.12149091 4445.24969468 0.00032578]\n", "\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_df = np.column_stack([train_df[FT_COLS].values])\n", "hmm_model = GaussianHMM(n_components=3, covariance_type=\"full\", \n", " n_iter=1000, random_state=SEED).fit(_df)\n", "hidden_states = hmm_model.predict(_df)\n", "print(\"Means and vars of each hidden state\")\n", "for i in range(hmm_model.n_components):\n", " print(f'{i}th hidden state')\n", " print('mean: ', (hmm_model.means_[i]))\n", " print('var: ', np.diag(hmm_model.covars_[i]))\n", " print()\n", "\n", "sns.set(font_scale=1.25)\n", "style_kwds = {'xtick.major.size': 3, 'ytick.major.size': 3, 'legend.frameon': True}\n", "sns.set_style('white', style_kwds)\n", "\n", "fig, axs = plt.subplots(hmm_model.n_components, sharex=True, sharey=True, figsize=(12,9))\n", "colors = cm.rainbow(np.linspace(0, 1, model.n_components))\n", "\n", "for i, (ax, color) in enumerate(zip(axs, colors)):\n", " # Use fancy indexing to plot data in each state.\n", " mask = hidden_states == i\n", " ax.plot_date(train_df.index.values[mask],\n", " train_df[COL_].values[mask],\n", " \".-\", c=color)\n", " ax.set_title(\"{0}th hidden state\".format(i), fontsize=16, fontweight='demi')\n", "\n", " # Format the ticks.\n", " ax.xaxis.set_major_locator(YearLocator())\n", " ax.xaxis.set_minor_locator(MonthLocator())\n", " sns.despine(offset=10)\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "ExecuteTime": { "end_time": "2020-09-21T14:52:37.840243Z", "start_time": "2020-09-21T14:52:37.429017Z" } }, "outputs": [ { "data": { "text/html": [ "
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DatestatesTEDRATET10Y2YT10Y3MBAMLHYH0A0HYM2TRIVGEsretmkt_cret
02010-01-0410.172.763.77687.5610.7330570.0209300.020930
12010-01-0510.182.763.70690.8910.7886320.0051650.026094
22010-01-0610.192.843.79694.0310.733057-0.0051650.020930
32010-01-0710.202.823.80697.4411.2888100.0504840.071413
42010-01-0810.202.873.78698.7911.5319550.0213100.092723
\n", "
" ], "text/plain": [ " Date states TEDRATE T10Y2Y T10Y3M BAMLHYH0A0HYM2TRIV GE \\\n", "0 2010-01-04 1 0.17 2.76 3.77 687.56 10.733057 \n", "1 2010-01-05 1 0.18 2.76 3.70 690.89 10.788632 \n", "2 2010-01-06 1 0.19 2.84 3.79 694.03 10.733057 \n", "3 2010-01-07 1 0.20 2.82 3.80 697.44 11.288810 \n", "4 2010-01-08 1 0.20 2.87 3.78 698.79 11.531955 \n", "\n", " sret mkt_cret \n", "0 0.020930 0.020930 \n", "1 0.005165 0.026094 \n", "2 -0.005165 0.020930 \n", "3 0.050484 0.071413 \n", "4 0.021310 0.092723 " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.set(font_scale=1.5)\n", "states = (pd.DataFrame(hidden_states, columns=['states'], index=train_df.index)\n", " .join(train_df, how='inner')\n", " .assign(mkt_cret=train_df.sret.cumsum())\n", " .reset_index(drop=False)\n", " .rename(columns={'index':'Date'}))\n", "display(states.head())\n", "\n", "sns.set_style('white', style_kwds)\n", "order = np.arange(hmm_model.n_components)\n", "fg = sns.FacetGrid(data=states, hue='states', hue_order=order,\n", " palette=colors, aspect=1.31, height=12)\n", "fg.map(plt.scatter, 'Date', mkt, alpha=0.8).add_legend()\n", "sns.despine(offset=10)\n", "fg.fig.suptitle(f'Historical {mkt} Regimes', fontsize=24, fontweight='demi')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "ExecuteTime": { "end_time": "2020-09-21T14:52:39.630130Z", "start_time": "2020-09-21T14:52:37.840243Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_in_sample_hidden_states(hmm_model, train_df)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "ExecuteTime": { "end_time": "2020-09-21T14:52:40.045741Z", "start_time": "2020-09-21T14:52:39.630130Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_df = np.column_stack([test_df[FT_COLS].values])\n", "hidden_states_test = hmm_model.predict(_df)\n", "sns.set(font_scale=1.5)\n", "states = (pd.DataFrame(hidden_states_test, columns=['states'], index=test_df.index)\n", " .join(test_df, how='inner')\n", " .assign(mkt_cret=test_df.sret.cumsum())\n", " .reset_index(drop=False)\n", " .rename(columns={'index':'Date'}))\n", "\n", "sns.set_style('white', style_kwds)\n", "order = np.arange(model.n_components)\n", "fg = sns.FacetGrid(data=states, hue='states', hue_order=order,\n", " palette=colors, aspect=1.31, height=12)\n", "fg.map(plt.scatter, 'Date', mkt, alpha=0.8).add_legend()\n", "sns.despine(offset=10)\n", "fg.fig.suptitle(f'Historical {mkt} Regimes', fontsize=24, fontweight='demi')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.6.7" }, "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": { "height": "calc(100% - 180px)", "left": "10px", "top": "150px", "width": "384px" }, "toc_section_display": true, "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 2 }