{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Phat-GARCH #\n",
"\n",
"The GARCH models explored [here](#garch.ipynb) map the error terms of the financial time-series onto a Gaussian distribution. Here, we will incorporate the Phat distribution into GARCH forecast.\n",
"\n",
"We have seen evidence that equity price returns are fat-tailed and that the left tail is likely fatter than the right tail (attributed to various phenomena; see [Ding (2011)](references.ipynb).\n",
"\n",
"GARCH models have thus been adjusted in an attempt to capture this phenomenon by various derivative implementations: differencing of innovations against their absolute value, allowing for variability in the correlated moment, etc. These types of GARCH approaches do not address a key assumption that the innovations themselves are standard normally distributed. \n",
"\n",
"Other fat-tail distributions have been substituted in GARCH models: [Student's T, skewed Student's T, Extreme Value Distrubtion](references.ipynb), all of which are less ideal than the Pareto in capturing tail properties. The Pareto, of course, is single-tailed so its use has typically been restricted to VaR estimation. Some approaches have used a two-tailed Pareto with a non-parametric normal density estimation in the body.\n",
"\n",
"The Phat distribution improves upon this technique by introducing a fully continuous double Pareto with estimable statistical properties throughout."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Approach ##\n",
"\n",
"The generally understood requirement for the distribution of innovations is simply:\n",
"\n",
"$$E[e^2_{t+1}|F_t]=1$$\n",
"\n",
"So, to introduce Phat innovations into the GARCH forecast:\n",
"\n",
"1. Fit a standard ARMA(2,2)-GARCH(1,1) process to S&P 500 index daily returns.\n",
"\n",
"2. Fit the Phat distribution to the standardized residuals of this process using the Hill Double Bootstrap and `PhatNet`.\n",
"\n",
"3. Generate an ARMA-GARCH forecast using `Garchcast`, using standarized draws from the Phat distribution found in 2. for the innovations.\n",
"\n",
"This approach is similar to that used by [Danielsson and Devries (1997)](references.ipynb) and outlined in [this tutorial](https://www.mathworks.com/help/econ/using-extreme-value-theory-and-copulas-to-evaluate-market-risk.html) with the key difference again being the use of a fully-parameterized distribution through the body."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## A Note on Scaling ##\n",
"\n",
"As shown previously, GARCH models tend to fit daily equity returns best when scaled in percentage terms (i.e. factor of 100x). Meanwhile, the `PhatNet` custom loss function performs appropriately on smaller scales. We have found a 10x factor of the simple returns for the S&P500 index to be an appropriate scale for `PhatNet`.\n",
"\n",
"***GREAT CARE SHOULD BE USED IN TRANSLATING BETWEEN THE TWO MODELS AND THEIR SCALES***"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Forecasting Time Series with Pareto Hybrids ##\n",
"\n",
"### Generate ARMA-GARCH Residuals ###\n",
"\n",
"First, we will download the S&P500 time-series and fit it to an ARMA(2,2) process."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"tags": [
"hide_input"
]
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The autoreload extension is already loaded. To reload it, use:\n",
" %reload_ext autoreload\n"
]
}
],
"source": [
"%load_ext autoreload\n",
"%autoreload 2\n",
"\n",
"import seaborn as sns; sns.set(style = 'whitegrid')"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[*********************100%***********************] 1 of 1 completed\n"
]
}
],
"source": [
"import yfinance as yf\n",
"\n",
"sp = yf.download('^GSPC')\n",
"sp_ret = sp.Close.pct_change().dropna().loc['1950-01-01':]*100"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/spindicate/.pyenv/versions/3.9.0/envs/testphat9/lib/python3.9/site-packages/statsmodels/tsa/statespace/sarimax.py:966: UserWarning: Non-stationary starting autoregressive parameters found. Using zeros as starting parameters.\n",
" warn('Non-stationary starting autoregressive parameters'\n",
"/Users/spindicate/.pyenv/versions/3.9.0/envs/testphat9/lib/python3.9/site-packages/statsmodels/tsa/statespace/sarimax.py:978: UserWarning: Non-invertible starting MA parameters found. Using zeros as starting parameters.\n",
" warn('Non-invertible starting MA parameters found.'\n"
]
}
],
"source": [
"import pandas as pd\n",
"import pmdarima\n",
"\n",
"arma22 = pmdarima.ARIMA((2,0,2)).fit(sp_ret)\n",
"arma22_resids = pd.Series(arma22.resid(), index=sp_ret.index)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Then, we fit an ARCH(1,1) process to the ARMA process residuals across 7 windows of fixed length."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "99296d76c8c54be7a7cf065418f76ad4",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/7 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import arch\n",
"\n",
"from tqdm.auto import trange\n",
"\n",
"n_windows = 7\n",
"window = int(arma22_resids.size / n_windows)\n",
"windex = np.array([np.arange(i*window, (i+1)*window) for i in range(n_windows)])\n",
"\n",
"garch_resids = np.zeros((n_windows, window))\n",
"for i in trange(n_windows):\n",
" arch11 = arch.arch_model(arma22_resids[windex[i]], p=1, q=1).fit(disp='off')\n",
" garch_resids[i] = arch11.std_resid"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Fit Residuals to the Phat Distribution ###\n",
"\n",
"Now, we flatten the residuals and reduce the scale by 10x, then estimate both the left and right tails via the Hill Double Bootstrap."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"2022-01-15 18:49:24.903407: I tensorflow/core/platform/cpu_feature_guard.cc:142] This TensorFlow binary is optimized with oneAPI Deep Neural Network Library (oneDNN) to use the following CPU instructions in performance-critical operations: AVX2 FMA\n",
"To enable them in other operations, rebuild TensorFlow with the appropriate compiler flags.\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "e7e59a3f7c1d4fbf963de1af6e099575",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/10 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import phat as ph\n",
"\n",
"resids_for_phat = garch_resids.flatten() / 10\n",
"data = ph.DataSplit(resids_for_phat)\n",
"\n",
"xil, xir = ph.two_tailed_hill_double_bootstrap(resids_for_phat)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"WARNING:tensorflow:From /Users/spindicate/.pyenv/versions/3.9.0/envs/testphat9/lib/python3.9/site-packages/tensorflow_probability/python/distributions/distribution.py:298: calling Mixture.__init__ (from tensorflow_probability.python.distributions.mixture) with use_static_graph is deprecated and will be removed after 2021-01-14.\n",
"Instructions for updating:\n",
"The `use_static_graph` argument is deprecated. Mixture behaves equivalently to `use_static_graph=True`, and the flag is ignored.\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"2022-01-15 18:49:42.943130: I tensorflow/compiler/mlir/mlir_graph_optimization_pass.cc:176] None of the MLIR Optimization Passes are enabled (registered 2)\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Epoch 00016: early stopping\n"
]
}
],
"source": [
"import tensorflow as tf\n",
"\n",
"nnet = ph.PhatNet(neurons=1)\n",
"\n",
"metrics = [\n",
" ph.PhatMetric('shape_left'), ph.PhatMetric('shape_right'),\n",
" ph.PhatMetric('mean_left'), ph.PhatMetric('std_left'), \n",
"]\n",
"optimizer = tf.keras.optimizers.Adam(learning_rate=5e-4)\n",
"nnet.compile(\n",
" loss = ph.PhatLoss(xil.mean(),xir.mean()), \n",
" optimizer=optimizer, \n",
" metrics=metrics\n",
")\n",
"history = nnet.fit(\n",
" data.train, \n",
" epochs=100,\n",
" validation_data=data.test,\n",
" verbose=0\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This results in:"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
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" \n",
" \n",
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\n",
"
mean
\n",
"
-0.000504
\n",
"
\n",
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\n",
"
sig
\n",
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0.036480
\n",
"
\n",
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\n",
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shape_l
\n",
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0.224198
\n",
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\n",
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\n",
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shape_r
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0.164532
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" \n",
"mean -0.000504\n",
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},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"nnet.predicted_params()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can check the results against a straight-forward `MLE` using the `fit()` method in the `Phat` distribution:"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Optimization terminated successfully.\n",
" Current function value: -0.820386\n",
" Iterations: 31\n",
" Function evaluations: 62\n"
]
},
{
"data": {
"text/html": [
"
\n",
"
PhatFit Results
\n",
"
\n",
"
Dep. Variable:
y
Log-Likelihood:
14868.
\n",
"
\n",
"
\n",
"
Model:
PhatFit
AIC:
-2.973e+04
\n",
"
\n",
"
\n",
"
Method:
Maximum Likelihood
BIC:
-2.973e+04
\n",
"
\n",
"
\n",
"
Date:
Sat, 15 Jan 2022
\n",
"
\n",
"
\n",
"
Time:
18:49:59
\n",
"
\n",
"
\n",
"
No. Observations:
18123
\n",
"
\n",
"
\n",
"
Df Residuals:
18122
\n",
"
\n",
"
\n",
"
Df Model:
0
\n",
"
\n",
"
\n",
"
\n",
"
\n",
"
coef
std err
z
P>|z|
[0.025
0.975]
\n",
"
\n",
"
\n",
"
const
2.788e-05
0.001
0.045
0.964
-0.001
0.001
\n",
"
\n",
"
\n",
"
x1
0.0363
0.000
98.866
0.000
0.036
0.037
\n",
"
\n",
"
"
],
"text/plain": [
"\n",
"\"\"\"\n",
" PhatFit Results \n",
"==============================================================================\n",
"Dep. Variable: y Log-Likelihood: 14868.\n",
"Model: PhatFit AIC: -2.973e+04\n",
"Method: Maximum Likelihood BIC: -2.973e+04\n",
"Date: Sat, 15 Jan 2022 \n",
"Time: 18:49:59 \n",
"No. Observations: 18123 \n",
"Df Residuals: 18122 \n",
"Df Model: 0 \n",
"==============================================================================\n",
" coef std err z P>|z| [0.025 0.975]\n",
"------------------------------------------------------------------------------\n",
"const 2.788e-05 0.001 0.045 0.964 -0.001 0.001\n",
"x1 0.0363 0.000 98.866 0.000 0.036 0.037\n",
"==============================================================================\n",
"\"\"\""
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"mle = ph.Phat.fit(garch_resids.flatten()/10, xil, xir)\n",
"mle.summary()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"MLE is accurate with respect to the volatility, however, the mean value is not statistically significant. This results from a scaling issue."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Some More Notes on Scaling ###\n",
"\n",
"We \"descaled\" our garch residuals in order to fit the Phat distribution. To translate back to the garch residuals, we must rescale by a factor of 10. We found that scaling both `mu` and `std` parameters found in the Garch fit leads to the exact same distribution as scaling a sample of random draw by 10."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"mu, std, l, r = nnet.predicted_params().values[:, 0]\n",
"phat1 = ph.Phat(mu, std, l, r)\n",
"phat2 = ph.Phat(mu*10, std*10, l, r)\n",
"\n",
"n = 10000000\n",
"rv1 = phat1.rvs(n)*10\n",
"rv2 = phat2.rvs(n)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"tags": [
"hide_input"
]
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"fig, (ax1,ax2,ax3) = plt.subplots(1,3,figsize=(20,5))\n",
"\n",
"_, bins, _ = ax1.hist(rv1, bins=100, alpha=.5)\n",
"_, _, _ = ax1.hist(rv2, bins=bins, alpha=.5)\n",
"ax1.set_xlim(-5,5)\n",
"\n",
"_, bins, _ = ax2.hist(rv1, bins=100, alpha=.5)\n",
"_, _, _ = ax2.hist(rv2, bins=bins, alpha=.5)\n",
"\n",
"l_crit = 1/np.logspace(2,6,5)\n",
"r_crit = 1 - l_crit\n",
"\n",
"s1_qs, s2_qs = np.quantile(rv1, l_crit), np.quantile(rv2, l_crit)\n",
"\n",
"txt = 'Quantile Comparison'\n",
"i = 0\n",
"for crit, s1q, s2q in zip(l_crit, s1_qs, s2_qs):\n",
" i += 1\n",
" txt += '\\n'\n",
" txt += f'{crit:.6f}'.rstrip(\"0\") + ' '*(10-i*2) + f' {s1q:.1f} v {s2q:.1f}'\n",
"\n",
"ax2.text(.25, .5, txt, transform=ax2.transAxes, bbox=dict(facecolor='w'))\n",
"\n",
"ax2.set_xlim(s1_qs[3], s1_qs[1])\n",
"ax2.set_ylim(0,4000)\n",
"\n",
"_, bins, _ = ax3.hist(rv1, bins=100, alpha=.5)\n",
"_, _, _ = ax3.hist(rv2, bins=bins, alpha=.5)\n",
"\n",
"s1_qs, s2_qs = np.quantile(rv1, r_crit), np.quantile(rv2, r_crit)\n",
"txt = 'Quantile Comparison'\n",
"i = 0\n",
"for crit, s1q, s2q in zip(r_crit, s1_qs, s2_qs):\n",
" i += 1\n",
" txt += '\\n'\n",
" txt += f'{crit:.6f}'.rstrip(\"0\") + ' '*(10-i*2) + f' {s1q:.1f} v {s2q:.1f}'\n",
"\n",
"ax3.text(.5, .5, txt, transform=ax3.transAxes, bbox=dict(facecolor='w'))\n",
"\n",
"ax3.set_xlim(s1_qs[1], s1_qs[3])\n",
"ax3.set_ylim(0,4000)\n",
"\n",
"ax1.set_title('In the Body')\n",
"ax2.set_title('Left Tail')\n",
"ax3.set_title('Right Tail')\n",
"plt.suptitle('Scaled v Unscaled')\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can confirm this with the Anderson-Darliing test for k-samples from `scipy`. The null hypothesis is that the two samples come from the same distribution."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Anderson_ksampResult(statistic=2350120.560339984, critical_values=array([0.325, 1.226, 1.961, 2.718, 3.752, 4.592, 6.546]), significance_level=0.001)"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import scipy.stats as scist\n",
"\n",
"import warnings\n",
"\n",
"with warnings.catch_warnings():\n",
" warnings.simplefilter(\"ignore\", category=UserWarning)\n",
"\n",
" phats_ad = scist.anderson_ksamp((\n",
" rv1*10,\n",
" rv2\n",
" ))\n",
"phats_ad"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Per the result, we cannot reject that the two samples come from the same distribution. Thus, for convenience going forward, we will scale the PhatNet `mu` and `std` parameter outputs by 10."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Comparing Fit ###\n",
"\n",
"We will compare the fit of the residuals to the Phat distribution with that of the Normal by first assessing quantiles."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
# Obs
\n",
"
Actual
\n",
"
Phat
\n",
"
Gaussian
\n",
"
\n",
" \n",
" \n",
"
\n",
"
0.00001
\n",
"
1.0
\n",
"
-10.697492
\n",
"
-25.081239
\n",
"
-4.298209
\n",
"
\n",
"
\n",
"
0.00010
\n",
"
2.0
\n",
"
-8.708911
\n",
"
-14.297968
\n",
"
-3.752568
\n",
"
\n",
"
\n",
"
0.00100
\n",
"
19.0
\n",
"
-4.575658
\n",
"
-7.804973
\n",
"
-3.124053
\n",
"
\n",
"
\n",
"
0.01000
\n",
"
182.0
\n",
"
-2.635801
\n",
"
-3.854028
\n",
"
-2.360494
\n",
"
\n",
"
\n",
"
0.99000
\n",
"
182.0
\n",
"
2.283172
\n",
"
3.385124
\n",
"
2.290214
\n",
"
\n",
"
\n",
"
0.99900
\n",
"
19.0
\n",
"
3.339469
\n",
"
6.280176
\n",
"
3.053772
\n",
"
\n",
"
\n",
"
0.99990
\n",
"
2.0
\n",
"
5.070831
\n",
"
10.412671
\n",
"
3.682287
\n",
"
\n",
"
\n",
"
0.99999
\n",
"
1.0
\n",
"
7.186171
\n",
"
16.377104
\n",
"
4.227928
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" # Obs Actual Phat Gaussian\n",
"0.00001 1.0 -10.697492 -25.081239 -4.298209\n",
"0.00010 2.0 -8.708911 -14.297968 -3.752568\n",
"0.00100 19.0 -4.575658 -7.804973 -3.124053\n",
"0.01000 182.0 -2.635801 -3.854028 -2.360494\n",
"0.99000 182.0 2.283172 3.385124 2.290214\n",
"0.99900 19.0 3.339469 6.280176 3.053772\n",
"0.99990 2.0 5.070831 10.412671 3.682287\n",
"0.99999 1.0 7.186171 16.377104 4.227928"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"phat = ph.Phat(mu*10, std*10, l, r)\n",
"\n",
"norm_params = scist.norm.fit(garch_resids.flatten())\n",
"normfit = scist.norm(*norm_params)\n",
"\n",
"l_crit = 1/np.logspace(2,5,4)\n",
"r_crit = 1 - l_crit\n",
"\n",
"l_act = np.quantile(garch_resids.flatten(), l_crit)\n",
"nl_act = [(garch_resids.flatten() < q).sum() for q in l_act]\n",
"\n",
"df_lcrit = pd.DataFrame([\n",
" nl_act,\n",
" l_act,\n",
" phat.ppf(l_crit), \n",
" normfit.ppf(l_crit),\n",
"], index=['# Obs', 'Actual', 'Phat', 'Gaussian'], columns=l_crit).T\n",
"\n",
"r_act = np.quantile(garch_resids.flatten(), r_crit)\n",
"nr_act = [(garch_resids.flatten() > q).sum() for q in r_act]\n",
"df_rcrit = pd.DataFrame([\n",
" nr_act,\n",
" r_act,\n",
" phat.ppf(r_crit), \n",
" normfit.ppf(r_crit),\n",
"], index=['# Obs', 'Actual', 'Phat', 'Gaussian'], columns=r_crit).T\n",
"\n",
"df_crit = pd.concat((df_lcrit[::-1], df_rcrit))\n",
"\n",
"df_crit"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can see the quantile values of the actual observations lie somewhere between the Phat and the Normal. The left tail of the Phat also exhibits better fit, to be expected given it has a larger tail index. The difference between the Phat distribution and actual suggests improvements might be made to rein in the Phat distribution somewhat.\n",
"\n",
"We can also check the Anderson-Darling k-sample test for both distributions using draws of standardized random variables."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(Anderson_ksampResult(statistic=59.630039694239706, critical_values=array([0.325, 1.226, 1.961, 2.718, 3.752, 4.592, 6.546]), significance_level=0.001),\n",
" Anderson_ksampResult(statistic=119.89759627523853, critical_values=array([0.325, 1.226, 1.961, 2.718, 3.752, 4.592, 6.546]), significance_level=0.001))"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"with warnings.catch_warnings():\n",
" warnings.simplefilter(\"ignore\", category=UserWarning)\n",
" \n",
" norm_ad = scist.anderson_ksamp((\n",
" garch_resids.flatten(), \n",
" normfit.rvs(size=1000000)/normfit.std()\n",
" ))\n",
" phat_ad = scist.anderson_ksamp((\n",
" garch_resids.flatten(),\n",
" phat.std_rvs(size=1000000)\n",
" ))\n",
"\n",
"norm_ad, phat_ad"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We cannot reject the null for either distribution (that it is the true distribution), but the `Phat` does have a larger statistic."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"tags": [
"hide_input"
]
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(1,1, figsize=(12,8))\n",
"\n",
"plt.hist(sp_ret, bins=100, density=True)\n",
"\n",
"x = np.linspace(-5, 5, 1000)\n",
"ax.plot(\n",
" x, normfit.pdf(x), c='C1', lw=5,\n",
" label=r'$N$'+f'({normfit.args[0]:.2f},{normfit.args[1]:.2f})')\n",
"ax.plot(\n",
" x, phat.pdf(x), c='C2', lw=5,\n",
" label=r'$Phat$'\n",
")\n",
"\n",
"ax.set_xlim(-5,5)\n",
"\n",
"ax.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Consistent with the quantile comparison earlier, the Phat performs better than the Gaussian over the head and tail, but underperforms with respecect to the shoulder."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Phatcast ###\n",
"\n",
"Now we have enough to generate an ARMA-GARCH forecast with Phat residuals. We will compare the forecast to the standard Gaussian residuals visually."
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
"n = 10000\n",
"days = 252\n",
"\n",
"mod = ph.Garchcaster(\n",
" arma=arma22,\n",
" garch=arch11,\n",
" iters=n,\n",
" periods=days,\n",
")\n",
"res1 = mod.forecast(dist=phat)\n",
"res2 = mod.forecast()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Below, we compare on a 1-year time horizon (252 days)."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"scrolled": true,
"tags": [
"hide_input"
]
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10,6))\n",
"plt.plot((res1.vars).T.mean(axis=1), label='Phat Residuals')\n",
"plt.plot((res2.vars).T.mean(axis=1), label='N(0,1) Residuals')\n",
"\n",
"plt.legend()\n",
"plt.title('Average Conditional Variance of 1-Year PHAT-GARCH Forecast')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Obviously, for the long-term forecasts, the Phat distribution creates a much more \"natural\" volatility with short, dramatic spikes, whole periods of elevated levels of volatility, and prolonged periods of sustained, declining and low volatility.\n",
"\n",
"Now, we compare over a 10-year horizon. We show the full spectrum on the left-hand side, then zoom in on the right to show the difference in volatility day-to-day."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"res3 = mod.forecast(dist=phat, periods=days*10)\n",
"res4 = mod.forecast(periods=days*10)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"tags": [
"hide_input"
]
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, (ax1, ax2) = plt.subplots(1,2,figsize=(18,6))\n",
"\n",
"ax1.plot(res3.vars.mean(axis=0), label='Phat Residuals')\n",
"ax1.plot(res4.vars.mean(axis=0), label='N(0,1) Residuals')\n",
"\n",
"ax2.plot(res3.vars.mean(axis=0), label='Phat Residuals')\n",
"ax2.plot(res4.vars.mean(axis=0), label='N(0,1) Residuals')\n",
"ax2.set_ylim(.75,3)\n",
"\n",
"ax1.set_xlabel('Days')\n",
"ax2.set_xlabel('Days')\n",
"ax1.legend()\n",
"ax2.legend()\n",
"plt.suptitle('Average Conditional Variance of 10-Year PHAT-GARCH Forecast')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Bear in mind, these are averages across 10,000 simulations. We can show the individual volatilities from each simulations as follows:"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axs = plt.subplots(2,2,figsize=(18,12))\n",
"axs = axs.flatten()\n",
"\n",
"for i, ax in zip(np.random.randint(0, n, size=axs.size), axs):\n",
" ax.plot(res3.vols[i], label='Phat Residuals')\n",
" ax.set_title(f'Vol Forecast {i}')\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can see from these samples that a more \"natural\" volatility process continues for many periods, well after the standard Gaussian has found a stable range. We can compare these volatility outcomes to the actual conditional volatility found the S&P500 time-series below."
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, (ax1, ax2) = plt.subplots(1,2,figsize=(18,6))\n",
"\n",
"ax1.plot(arch11.conditional_volatility)\n",
"\n",
"ax2.plot(arch11.conditional_volatility)\n",
"ax2.set_ylim(0,4)\n",
"\n",
"plt.suptitle('10-Year Actual Historical GARCH-Fitted Conditional Volatility')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The volatility spikes generated by the Phat distribution may seem dramatic but relative to the spikes seen in 2020 and 2008, they may even be conservative. *Note that the Phat residuals are able to mimic the tendency for volatility to stabilize below 1x for significant stretches.*"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can replicate this outcome in `arch` as a test. NOTE this does not include the ARMA process."
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [],
"source": [
"def custom_rng(phat):\n",
" def _rng(size):\n",
" shocks = phat.std_rvs(size=size)\n",
" return shocks\n",
" return _rng"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [],
"source": [
"sim1 = arch11.forecast(\n",
" horizon=days,\n",
" simulations=n,\n",
" rng=custom_rng(phat),\n",
" method='simulation',\n",
" reindex=False\n",
")\n",
"\n",
"sim2 = arch11.forecast(\n",
" horizon=days,\n",
" simulations=n,\n",
" method='simulation',\n",
" reindex=False\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ax, S, bins = res1.plot('end_price', p=1)\n",
"plt.rcParams['patch.edgecolor'] = 'C0'\n",
"ax.axvline(S[:, -1].mean(), c='C1', ls='--', label=f'Mean: {S[:, -1].mean():.2f}')\n",
"\n",
"\n",
"logps = scist.lognorm.fit(S[:, -1])\n",
"x = np.linspace(0, 3.50, 1000)\n",
"lnormfit = scist.lognorm.pdf(x, *logps)\n",
"ax.plot(x, lnormfit, c='C2', label=r'$LogN$'+f'({logps[0]:.2f},{logps[1]:.2f},{logps[2]:.2f})')\n",
"\n",
"ax.set_xlim(0,4.00)\n",
"\n",
"ax.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Note three things from above:\n",
"\n",
"1. The right tail has much higher values than the [Gaussian residual forecast](garch.ipynb#Garchcaster); they simply aren't visible\n",
"2. Because of the much thicker tails, the lognormal fit is completely meaningless. The lognormal simply cannot replicate the distribution appropriately.\n",
"3. Despite having much higher values in the tails, the mean of this distribution is actually *lower* [than the Guassian residual forecast](garch.ipynb#Garchcaster)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now, again, comparing quantiles, we see the impact of Phat tail volatility on the extremes. The extreme quantiles are much more power-law *like*."
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
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"text/plain": [
" Lognorm PHAT-GARCH\n",
"0.00001 0.329353 0.014284\n",
"0.00010 0.400225 0.055723\n",
"0.00100 0.485067 0.218195\n",
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"0.90000 1.182379 1.142146\n",
"0.99000 1.380771 1.388429\n",
"0.99900 1.534670 2.106316\n",
"0.99990 1.667264 4.524516\n",
"0.99999 1.786892 5.912525"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"l_crit = 1/np.logspace(1,5,5)\n",
"r_crit = 1 - l_crit\n",
"qs = np.concatenate((l_crit[::-1], r_crit))\n",
"logqs = scist.lognorm(*logps).ppf(qs)\n",
"\n",
"actual = np.quantile(S[:,-1][S[:,-1]>=0], qs)\n",
"pd.DataFrame(list(zip(logqs, actual)), index=qs, columns=['Lognorm', 'PHAT-GARCH'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here we see the tail regions of a 1-year price forecast are *dramatically* larger and likely more realistic. \n",
"\n",
"+ a ~50% decline is expected about once every hundred years, which maps fairly well onto the S&P 500, which has seen just one annual period of >50% declines since 1950 (and two others fairly close). \n",
"\n",
"+ a decline of ~87% is expected once every 1,000 years, which has not happened in the history of the S&P, although of course the index did lose ~90% of its value over a three-year period during the Great Depression. Under Guassian innovations, this is essentially impossible."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Phat-ARGARCH ##\n",
"\n",
"In an effort to show the whole process in a more condensed fashion, we will fit and forecast using the `arch` packages internal `AR-GARCH` fitting model, which should provide more efficient and accurate fit for both `AR` and `GARCH` parameters, though it might ignore some mean correlation."
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" AR - GARCH Model Results \n",
"==============================================================================\n",
"Dep. Variable: Close R-squared: -0.007\n",
"Mean Model: AR Adj. R-squared: -0.007\n",
"Vol Model: GARCH Log-Likelihood: -21745.6\n",
"Distribution: Normal AIC: 43503.1\n",
"Method: Maximum Likelihood BIC: 43549.9\n",
" No. Observations: 18107\n",
"Date: Sun, Jan 09 2022 Df Residuals: 18104\n",
"Time: 11:44:48 Df Model: 3\n",
" Mean Model \n",
"==============================================================================\n",
" coef std err t P>|t| 95.0% Conf. Int.\n",
"------------------------------------------------------------------------------\n",
"Const 0.0506 6.068e-03 8.340 7.408e-17 [3.872e-02,6.251e-02]\n",
"Close[1] 0.0801 8.350e-03 9.598 8.160e-22 [6.378e-02,9.651e-02]\n",
"Close[2] -0.0210 8.255e-03 -2.549 1.081e-02 [-3.722e-02,-4.859e-03]\n",
" Volatility Model \n",
"============================================================================\n",
" coef std err t P>|t| 95.0% Conf. Int.\n",
"----------------------------------------------------------------------------\n",
"omega 0.0114 2.144e-03 5.316 1.058e-07 [7.197e-03,1.560e-02]\n",
"alpha[1] 0.0941 1.071e-02 8.783 1.597e-18 [7.307e-02, 0.115]\n",
"beta[1] 0.8956 1.114e-02 80.425 0.000 [ 0.874, 0.917]\n",
"============================================================================\n",
"\n",
"Covariance estimator: robust\n"
]
}
],
"source": [
"ar = arch.univariate.ARX(sp_ret, lags=[1,2])\n",
"ar.volatility = arch.univariate.GARCH(p=1, q=1)\n",
"argarch = ar.fit(update_freq=0, disp=\"off\")\n",
"print(argarch.summary())"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "2c48adbadddf45648a4f95262fb020eb",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/10 [00:00, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data = ph.DataSplit(argarch.std_resid.values[2:]/10)\n",
"xil, xir = ph.two_tailed_hill_double_bootstrap(data.raw.y)"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Epoch 00015: early stopping\n"
]
}
],
"source": [
"nnet = ph.PhatNet(neurons=1)\n",
"\n",
"optimizer = tf.keras.optimizers.Adam(learning_rate=5e-4)\n",
"nnet.compile(loss=ph.PhatLoss(xil, xir), optimizer=optimizer)\n",
"history = nnet.fit(\n",
" data.train, \n",
" epochs=100,\n",
" validation_data=data.test,\n",
" verbose=0\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We show a 1-year forecast."
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [],
"source": [
"mu, std, l, r = nnet.predicted_params().values[:, 0]\n",
"phat = ph.Phat(mu, std, l, r)\n",
"\n",
"n = 10000\n",
"days = 252\n",
"\n",
"mod = ph.Garchcaster(\n",
" garch=argarch,\n",
" iters=n,\n",
" periods=days,\n",
")\n",
"arres = mod.forecast(dist=phat)"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"tags": [
"hide_input"
]
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"
"
],
"text/plain": [
" Lognorm PHAT-ARGARCH\n",
"0.00001 -0.249066 1.064057e-08\n",
"0.00010 -0.106708 1.015339e-07\n",
"0.00100 0.074192 2.259743e-03\n",
"0.01000 0.321116 2.107520e-01\n",
"0.10000 0.714136 7.466369e-01\n",
"0.90000 2.025579 1.986490e+00\n",
"0.99000 2.743530 2.842280e+00\n",
"0.99900 3.353665 4.548018e+00\n",
"0.99990 3.917705 5.699216e+00\n",
"0.99999 4.457776 6.904041e+00"
]
},
"execution_count": 36,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"l_crit = 1/np.logspace(1,5,5)\n",
"r_crit = 1 - l_crit\n",
"qs = np.concatenate((l_crit[::-1], r_crit))\n",
"logqs = scist.lognorm(*logps).ppf(qs)\n",
"\n",
"S5_actual = np.quantile(S_5[:,-1][S_5[:,-1]>=0], qs)\n",
"pd.DataFrame(list(zip(logqs, S5_actual)), index=qs, columns=['Lognorm', 'PHAT-ARGARCH'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Pay close attention to the bulge in values around $0. The Phat-ARGARCH suggests that total loss is materially more likely than with Gaussian innvoations."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## T v Phat-ARGARCH ##\n",
"\n",
"We will compare the Phat-ARGARCH results to an AR-GARCH fit using the Student's T. "
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" AR - GARCH Model Results \n",
"====================================================================================\n",
"Dep. Variable: Close R-squared: -0.006\n",
"Mean Model: AR Adj. R-squared: -0.006\n",
"Vol Model: GARCH Log-Likelihood: -21229.6\n",
"Distribution: Standardized Student's t AIC: 42473.3\n",
"Method: Maximum Likelihood BIC: 42527.9\n",
" No. Observations: 18107\n",
"Date: Sun, Jan 09 2022 Df Residuals: 18104\n",
"Time: 11:45:35 Df Model: 3\n",
" Mean Model \n",
"==============================================================================\n",
" coef std err t P>|t| 95.0% Conf. Int.\n",
"------------------------------------------------------------------------------\n",
"Const 0.0589 5.014e-03 11.742 7.803e-32 [4.905e-02,6.871e-02]\n",
"Close[1] 0.0761 7.661e-03 9.930 3.072e-23 [6.106e-02,9.109e-02]\n",
"Close[2] -0.0327 7.594e-03 -4.301 1.703e-05 [-4.754e-02,-1.777e-02]\n",
" Volatility Model \n",
"============================================================================\n",
" coef std err t P>|t| 95.0% Conf. Int.\n",
"----------------------------------------------------------------------------\n",
"omega 8.1892e-03 1.223e-03 6.694 2.168e-11 [5.792e-03,1.059e-02]\n",
"alpha[1] 0.0894 6.379e-03 14.019 1.196e-44 [7.693e-02, 0.102]\n",
"beta[1] 0.9046 6.533e-03 138.475 0.000 [ 0.892, 0.917]\n",
" Distribution \n",
"========================================================================\n",
" coef std err t P>|t| 95.0% Conf. Int.\n",
"------------------------------------------------------------------------\n",
"nu 6.4736 0.331 19.538 5.176e-85 [ 5.824, 7.123]\n",
"========================================================================\n",
"\n",
"Covariance estimator: robust\n"
]
}
],
"source": [
"targarch = arch.univariate.ARX(sp_ret, lags=[1,2])\n",
"targarch.distribution = arch.univariate.StudentsT()\n",
"\n",
"targarch.volatility = arch.univariate.GARCH(p=1, q=1)\n",
"tres = targarch.fit(update_freq=0, disp=\"off\")\n",
"print(tres.summary())"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [],
"source": [
"n = 10000\n",
"days = 252\n",
"mod = ph.Garchcaster(\n",
" garch=tres,\n",
" iters=n,\n",
" periods=days,\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can incorporate the fitted T distribution into `Garchcast` simply by generating standardized random variables from it and passing them to `innovs`. We will do this for both 1-year and 5-year periods."
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [],
"source": [
"t_dist = scist.t(tres.params[-1])\n",
"tfore1 = mod.forecast(innovs=t_dist.rvs((n, days))/t_dist.std())\n",
"tfore2 = mod.forecast(innovs=t_dist.rvs((n, days*5))/t_dist.std(), periods=days*5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The variance is given below."
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, (ax1, ax2) = plt.subplots(1,2,figsize=(18,6))\n",
"ax1 = tfore1.plot('var', ax=ax1)\n",
"ax2 = tfore2.plot('var', ax=ax2)\n",
"\n",
"plt.suptitle('T-GARCH Forecast: Conditional Variance')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The variance takes more than a year to climb to a stable range, then does exhibit some more \"natural\" variation around that stable value, although we do not see a single peak, $\\sigma^2 > 1.6$ over the course of ten years.\n",
"\n",
"The S&P 500, of course, exhibited several such peaks [in the just the past 15 years](#Phatcast) and the Phat distribution is able to produce them while the T is not."
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
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