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Simulate long-term stock returns using MLP regression (to capture nonlinear dependencies) and assuming a conditional generalized t distribution on monthly returns
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"id": "355236fa-ae68-4bfa-8f8d-a372f31fd879", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [], | |
"source": [ | |
"import jax\n", | |
"import jax.numpy as jnp" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"id": "268d6350-3ed6-4048-9f87-a16e1923169b", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [], | |
"source": [ | |
"import flax\n", | |
"import flax.linen as nn\n", | |
"import optax" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"id": "c2aa8fa6-c49c-4627-b9f6-6381d1924291", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [], | |
"source": [ | |
"import pandas as pd\n", | |
"import numpy as np\n", | |
"import scipy.stats" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"id": "8983ceae-6619-49a3-a857-492e725146bd", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [], | |
"source": [ | |
"import seaborn" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"id": "f49bb0b3-f983-4f90-ab72-bff4ba8129bc", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [], | |
"source": [ | |
"import time" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"id": "1e95c676-e020-456f-9712-0744885d7ba6", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [], | |
"source": [ | |
"def read_dataset():\n", | |
" # The input should be a CSV file with just a single column (\"x\"), which\n", | |
" # contains historical monthly stock returns in order.\n", | |
" df = pd.read_csv(\"data/shiller/shiller_stock_returns_simplified.csv\")\n", | |
" # p = price\n", | |
" df = df.rename(columns={\"real_total_return_price\": \"p\"})\n", | |
" df = df[[\"date\", \"p\"]]\n", | |
" # r = monthly return factor\n", | |
" # lr = log monthly return factor\n", | |
" df = df.assign(\n", | |
" r=lambda x: x[\"p\"]/x[\"p\"].shift(),\n", | |
" lr=lambda x: np.log(x[\"r\"]),\n", | |
" )\n", | |
" return df.dropna()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 10, | |
"id": "390a75fe-16e0-49ed-8d05-bef4e754f64f", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [], | |
"source": [ | |
"df = read_dataset()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 11, | |
"id": "0b8be5c6-dd83-4c23-9fbe-8b2f0ea33b91", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/html": [ | |
"<div>\n", | |
"<style scoped>\n", | |
" .dataframe tbody tr th:only-of-type {\n", | |
" vertical-align: middle;\n", | |
" }\n", | |
"\n", | |
" .dataframe tbody tr th {\n", | |
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" }\n", | |
"\n", | |
" .dataframe thead th {\n", | |
" text-align: right;\n", | |
" }\n", | |
"</style>\n", | |
"<table border=\"1\" class=\"dataframe\">\n", | |
" <thead>\n", | |
" <tr style=\"text-align: right;\">\n", | |
" <th></th>\n", | |
" <th>date</th>\n", | |
" <th>p</th>\n", | |
" <th>r</th>\n", | |
" <th>lr</th>\n", | |
" </tr>\n", | |
" </thead>\n", | |
" <tbody>\n", | |
" <tr>\n", | |
" <th>1</th>\n", | |
" <td>1871-02-15</td>\n", | |
" <td>1.063449e+02</td>\n", | |
" <td>0.988219</td>\n", | |
" <td>-0.011851</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>2</th>\n", | |
" <td>1871-03-18</td>\n", | |
" <td>1.078582e+02</td>\n", | |
" <td>1.014230</td>\n", | |
" <td>0.014130</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>3</th>\n", | |
" <td>1871-04-17</td>\n", | |
" <td>1.156268e+02</td>\n", | |
" <td>1.072026</td>\n", | |
" <td>0.069550</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>4</th>\n", | |
" <td>1871-05-17</td>\n", | |
" <td>1.218517e+02</td>\n", | |
" <td>1.053836</td>\n", | |
" <td>0.052437</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>5</th>\n", | |
" <td>1871-06-17</td>\n", | |
" <td>1.233041e+02</td>\n", | |
" <td>1.011920</td>\n", | |
" <td>0.011849</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>...</th>\n", | |
" <td>...</td>\n", | |
" <td>...</td>\n", | |
" <td>...</td>\n", | |
" <td>...</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>1823</th>\n", | |
" <td>2022-12-16</td>\n", | |
" <td>2.589869e+06</td>\n", | |
" <td>1.003200</td>\n", | |
" <td>0.003195</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>1824</th>\n", | |
" <td>2023-01-16</td>\n", | |
" <td>2.604715e+06</td>\n", | |
" <td>1.005733</td>\n", | |
" <td>0.005716</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>1825</th>\n", | |
" <td>2023-02-15</td>\n", | |
" <td>2.671794e+06</td>\n", | |
" <td>1.025753</td>\n", | |
" <td>0.025427</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>1826</th>\n", | |
" <td>2023-03-18</td>\n", | |
" <td>2.595537e+06</td>\n", | |
" <td>0.971458</td>\n", | |
" <td>-0.028957</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>1827</th>\n", | |
" <td>2023-04-17</td>\n", | |
" <td>2.678188e+06</td>\n", | |
" <td>1.031844</td>\n", | |
" <td>0.031347</td>\n", | |
" </tr>\n", | |
" </tbody>\n", | |
"</table>\n", | |
"<p>1827 rows × 4 columns</p>\n", | |
"</div>" | |
], | |
"text/plain": [ | |
" date p r lr\n", | |
"1 1871-02-15 1.063449e+02 0.988219 -0.011851\n", | |
"2 1871-03-18 1.078582e+02 1.014230 0.014130\n", | |
"3 1871-04-17 1.156268e+02 1.072026 0.069550\n", | |
"4 1871-05-17 1.218517e+02 1.053836 0.052437\n", | |
"5 1871-06-17 1.233041e+02 1.011920 0.011849\n", | |
"... ... ... ... ...\n", | |
"1823 2022-12-16 2.589869e+06 1.003200 0.003195\n", | |
"1824 2023-01-16 2.604715e+06 1.005733 0.005716\n", | |
"1825 2023-02-15 2.671794e+06 1.025753 0.025427\n", | |
"1826 2023-03-18 2.595537e+06 0.971458 -0.028957\n", | |
"1827 2023-04-17 2.678188e+06 1.031844 0.031347\n", | |
"\n", | |
"[1827 rows x 4 columns]" | |
] | |
}, | |
"execution_count": 11, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"df" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 12, | |
"id": "74538d22-d737-4591-b30b-213bd867892d", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [], | |
"source": [ | |
"def create_input(df, window_size):\n", | |
" x = []\n", | |
" y = []\n", | |
" for start in range(len(df) - window_size):\n", | |
" x.append(df[\"lr\"].iloc[start:start+window_size])\n", | |
" y.append(df[\"lr\"].iloc[start+window_size])\n", | |
" return jnp.array(x), jnp.array(y)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 14, | |
"id": "1c207476-8dd1-412b-9fe1-145e406b495a", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [], | |
"source": [ | |
"df = read_dataset()\n", | |
"window_size = 120\n", | |
"x, y = create_input(df, window_size)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 15, | |
"id": "736a6a7c-31d7-4631-ad5e-d260d845bba9", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [], | |
"source": [ | |
"def compute_bandwidth(x):\n", | |
" # Compute bandwidth using the default R method when using kde: https://stats.stackexchange.com/a/290546.\n", | |
" iqr = x.quantile(0.75) - x.quantile(0.25)\n", | |
" std = x.std()\n", | |
" scale = min(iqr/(2*scipy.stats.norm.ppf(0.75)), std)\n", | |
" return 0.9*np.power(len(x), -1/5)*scale" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 16, | |
"id": "9f9bc79a-a181-4736-b325-8f3810e69280", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [], | |
"source": [ | |
"def sample_noised_inputs(key, N, bandwidth, x, y):\n", | |
" # TODO: Based on simulated returns, I think this may be losing too much raw\n", | |
" # data. We should at least guarantee that historical months that were\n", | |
" # negative stay negative, and positive stay positive. We might even want to\n", | |
" # impose similar restrictions on the cumulative return over the entire\n", | |
" # sampled window. To do so, we may need to apply some careful transforms\n", | |
" # that meet our criteria.\n", | |
" key, subkey = jax.random.split(key)\n", | |
" # Select random rows from the original dataset.\n", | |
" ix = jax.random.randint(subkey, (N,), 0, len(x))\n", | |
" x = x[ix, :]\n", | |
" y = y[ix]\n", | |
" # For each row, add noise based on the kernel bandwidth. This prevents\n", | |
" # overfitting and smooths the regression. Importantly, we add uncorrelated\n", | |
" # noise to the correlated input so that our regression model can learn\n", | |
" # about trends.\n", | |
" key, subkey = jax.random.split(key)\n", | |
" x = bandwidth * jax.random.normal(key, x.shape) + x\n", | |
" y = bandwidth * jax.random.normal(subkey, y.shape) + y\n", | |
" return x, y" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 17, | |
"id": "53589951-fc32-49d5-8877-6aaac65f2cec", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [], | |
"source": [ | |
"key = jax.random.PRNGKey(0)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 18, | |
"id": "e32d7466-28f3-4cf1-86ee-0add85f9c492", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [], | |
"source": [ | |
"bandwidth = compute_bandwidth(df[\"lr\"])" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 19, | |
"id": "a0d737eb-7a94-4c20-a216-ed51feebb342", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [], | |
"source": [ | |
"key, subkey = jax.random.split(key)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 20, | |
"id": "0333864c-c66e-4e90-a7d9-35b3cfc980a6", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [], | |
"source": [ | |
"class Regressor(nn.Module):\n", | |
" out_dims: int\n", | |
" \n", | |
" @nn.compact\n", | |
" def __call__(self, x):\n", | |
" x = x.reshape((x.shape[0], -1))\n", | |
" x = nn.Dense(128)(x)\n", | |
" # TODO: Consider batch normalization here. I chose ReLu activation to make this cheaper and avoid normalization for now.\n", | |
" # TODO: Consider dropout for regularization. Unclear how much that would help given how we noise our input data.\n", | |
" x = nn.relu(x)\n", | |
" x = nn.Dense(64)(x)\n", | |
" x = nn.relu(x)\n", | |
" x = nn.Dense(32)(x)\n", | |
" x = nn.relu(x)\n", | |
" x = nn.Dense(self.out_dims)(x)\n", | |
" return x" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 21, | |
"id": "8a3a4804-0dde-4fe1-819f-5de0308092aa", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [], | |
"source": [ | |
"# Outputs: t-distribution log(df), location, and log(scale).\n", | |
"model = Regressor(out_dims=3)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 22, | |
"id": "10de1bfd-7f66-4917-98c9-769b176f670d", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [], | |
"source": [ | |
"# Negative log likelihood. We assume a generalized t-distribution using the\n", | |
"# output parameters of the model and maximize the likelihood of the observed\n", | |
"# data given this.\n", | |
"@jax.jit\n", | |
"def nll(params, x_batched, y_batched):\n", | |
" def log_likelihood(x, y):\n", | |
" outputs = model.apply(params, x)\n", | |
" # NOTE: Degrees of freedom (df) and scale must be positive, so we\n", | |
" # transform via exp.\n", | |
" df = jnp.exp(outputs[:, 0])\n", | |
" loc = outputs[:, 1]\n", | |
" scale = jnp.exp(outputs[:, 2])\n", | |
" return jax.scipy.stats.t.logpdf(x=y_batched, df=df, loc=loc, scale=scale)\n", | |
" return -jnp.mean(log_likelihood(x_batched, y_batched))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 23, | |
"id": "34a216cb-1980-49a8-91d1-00ba87f43ce6", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [], | |
"source": [ | |
"def run(key, x, y, steps=10, batch_size=32, learning_rate=0.001):\n", | |
" # Model init.\n", | |
" x_shape = (batch_size, *x.shape[1:])\n", | |
" key, subkey = jax.random.split(key)\n", | |
" params = model.init(subkey, jnp.empty(x_shape))\n", | |
" # Optimizer init.\n", | |
" tx = optax.adam(learning_rate=learning_rate)\n", | |
" opt_state = tx.init(params)\n", | |
" loss_grad_fn = jax.value_and_grad(nll)\n", | |
" \n", | |
" for i in range(steps+1):\n", | |
" key, subkey = jax.random.split(key)\n", | |
" x_sample, y_sample = sample_noised_inputs(subkey, batch_size, bandwidth, x, y)\n", | |
" loss, grads = loss_grad_fn(params, x_sample, y_sample)\n", | |
" updates, opt_state = tx.update(grads, opt_state)\n", | |
" if i % 1000 == 0:\n", | |
" print(f\"{i}: {loss}\")\n", | |
" params = optax.apply_updates(params, updates)\n", | |
" return params" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 24, | |
"id": "e81d8b87-1684-42af-8f0f-8f2fcf146dc6", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"Array(1.161447, dtype=float32)" | |
] | |
}, | |
"execution_count": 24, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"params = model.init(subkey, x)\n", | |
"nll(params, x, y)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 25, | |
"id": "cfae7250-65e9-4a5c-947f-90e47bef44e1", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"0: 1.1457244157791138\n", | |
"1000: -1.872052550315857\n", | |
"2000: -1.8545706272125244\n", | |
"3000: -1.8642553091049194\n", | |
"4000: -1.815968632698059\n", | |
"5000: -1.8588156700134277\n", | |
"6000: -1.8995882272720337\n", | |
"7000: -1.854333758354187\n", | |
"8000: -1.8502241373062134\n", | |
"9000: -1.7891638278961182\n", | |
"10000: -1.8742039203643799\n" | |
] | |
} | |
], | |
"source": [ | |
"key, subkey = jax.random.split(key)\n", | |
"params = run(subkey, x, y, steps=10000, batch_size=x.shape[0], learning_rate=0.01)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 26, | |
"id": "5d6074c0-57e2-4bca-8c84-c8896265e29a", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [], | |
"source": [ | |
"key, subkey = jax.random.split(key)\n", | |
"x_test, y_test = sample_noised_inputs(subkey, 1000000, bandwidth, x, y)\n", | |
"outputs = model.apply(params, x_test)\n", | |
"nu = jnp.exp(outputs[:, 0])\n", | |
"loc = outputs[:, 1]\n", | |
"scale = jnp.exp(outputs[:, 2])" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 27, | |
"id": "75749ebb-3ef0-4c8e-8d05-1fa8e9be476c", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<seaborn.axisgrid.FacetGrid at 0x162610b50>" | |
] | |
}, | |
"execution_count": 27, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
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", | |
"text/plain": [ | |
"<Figure size 500x500 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"seaborn.displot(nu)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 28, | |
"id": "26655274-2eb5-4c2c-9cd9-8bbdb0581956", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<seaborn.axisgrid.FacetGrid at 0x16bb85d50>" | |
] | |
}, | |
"execution_count": 28, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 500x500 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"seaborn.displot(loc)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 29, | |
"id": "f8dea795-37a4-424f-98f2-2dc063a9d705", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<seaborn.axisgrid.FacetGrid at 0x16bbb6da0>" | |
] | |
}, | |
"execution_count": 29, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 500x500 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"seaborn.displot(scale)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 30, | |
"id": "d43d862a-543e-42d6-8498-56904bd94a29", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [], | |
"source": [ | |
"def generate(key, params, x_start, months):\n", | |
" \"\"\"Generate `months` worth of time series data.\n", | |
" \n", | |
" The number of time series will be equal to the batch (first) dimension of `x_start`.\"\"\"\n", | |
" # Preceding `window` month returns. The starting values should be sampled\n", | |
" # from noised historical data.\n", | |
" x = x_start\n", | |
" # Generated monthly returns sequence. Each array appended to this consists\n", | |
" # of the one-month returns across all the different simulations.\n", | |
" results = []\n", | |
" for i in range(months):\n", | |
" # Apply the model to get our predicted t-distribution parameters.\n", | |
" outputs = model.apply(params, x)\n", | |
" # Transform the parameters as required.\n", | |
" df = jnp.exp(outputs[: ,0])\n", | |
" location = outputs[:, 1]\n", | |
" scale = jnp.exp(outputs[:, 2])\n", | |
" key, subkey = jax.random.split(key)\n", | |
" # Sample from the predicted distribution.\n", | |
" log_returns = scale * jax.random.t(subkey, df=df, shape=df.shape) + location\n", | |
" # To prepare for concatenation operations, turn log_returns from a\n", | |
" # rank-1 tensor (flat vector) to a rank-2 column vector.\n", | |
" log_returns = jnp.expand_dims(log_returns, axis=1)\n", | |
"\n", | |
" # NOTE: We do not concatenate results as a jax array immediately, as\n", | |
" # doing so leads to quadratic runtime due to larger and larger copies.\n", | |
" # Instead, we gather the results in a python list of arrays, and then\n", | |
" # merge those arrays at the very end.\n", | |
" # results = jnp.concatenate((results, log_returns), axis=1)\n", | |
" results.append(log_returns)\n", | |
" # Shift out the oldest windowed historical returns and append the most\n", | |
" # recently generated returns to the new window.\n", | |
" x = jnp.concatenate((x[:, 1:], log_returns), axis=1)\n", | |
" # Shape: (generated series index, month index within series).\n", | |
" return jnp.concatenate(results, axis=1)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 31, | |
"id": "3e880ee0-7611-4d46-92a9-2d35be1d4349", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [], | |
"source": [ | |
"# Same as above, but with the inner loop jitted.\n", | |
"def generate_jit(key, params, x_start, months):\n", | |
" \"\"\"Generate `months` worth of time series data.\n", | |
" \n", | |
" The number of time series will be equal to the batch (first) dimension of `x_start`.\"\"\"\n", | |
" # Preceding `window` month returns. The starting values should be sampled\n", | |
" # from noised historical data.\n", | |
" x = x_start\n", | |
" # Generated monthly returns sequence. Each array appended to this consists\n", | |
" # of the one-month returns across all the different simulations.\n", | |
" results = []\n", | |
" \n", | |
" # We put the loop logic into a function so it can be jitted.\n", | |
" def loop_func(key, params, x):\n", | |
" # Apply the model to get our predicted t-distribution parameters.\n", | |
" outputs = model.apply(params, x)\n", | |
" # Transform the parameters as required.\n", | |
" df = jnp.exp(outputs[: ,0])\n", | |
" location = outputs[:, 1]\n", | |
" scale = jnp.exp(outputs[:, 2])\n", | |
" # Sample from the predicted distribution.\n", | |
" log_returns = scale * jax.random.t(key, df=df, shape=df.shape) + location\n", | |
" # To prepare for concatenation operations, turn log_returns from a\n", | |
" # rank-1 tensor (flat vector) to a rank-2 column vector.\n", | |
" log_returns = jnp.expand_dims(log_returns, axis=1)\n", | |
" # Append the results. Note that the first (batch) dimension of results\n", | |
" # is the index of the entire sequence itself. Note that the results do\n", | |
" # not include the simulated starting return history.\n", | |
" # results = jnp.concatenate((results, log_returns), axis=1)\n", | |
" # Similarly, shift out the oldest historical returns and append the\n", | |
" # latest simulated returns.\n", | |
" x = jnp.concatenate((x[:, 1:], log_returns), axis=1)\n", | |
" return x, log_returns\n", | |
" run_loop = jax.jit(loop_func)\n", | |
"\n", | |
" for i in range(months):\n", | |
" key, subkey = jax.random.split(key)\n", | |
" x, log_returns = run_loop(subkey, params, x)\n", | |
" results.append(log_returns)\n", | |
" # Shape: (generated series index, month index within series).\n", | |
" return jnp.concatenate(results, axis=1)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 32, | |
"id": "ef300ac3-01a3-4883-a1fe-80df9c33d173", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"generate ran in 100.808441542 seconds\n" | |
] | |
} | |
], | |
"source": [ | |
"start = time.perf_counter_ns()\n", | |
"results = generate(key, params, x_test[:100000], 1200)\n", | |
"elapsed_sec = (time.perf_counter_ns() - start) / 1e9\n", | |
"print(f\"generate ran in {elapsed_sec} seconds\")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 33, | |
"id": "686b9d72-5b91-424d-b98a-99d858500494", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"generate_jit ran in 72.980427542 seconds\n" | |
] | |
} | |
], | |
"source": [ | |
"start = time.perf_counter_ns()\n", | |
"results1 = generate_jit(key, params, x_test[:100000], 1200)\n", | |
"elapsed_sec = (time.perf_counter_ns() - start) / 1e9\n", | |
"print(f\"generate_jit ran in {elapsed_sec} seconds\")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 34, | |
"id": "47a701b2-4920-4e45-a442-36288ffea31e", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"Array(1.299556e-09, dtype=float32)" | |
] | |
}, | |
"execution_count": 34, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"# Compare jit and non-jit results. They should be similar (absolute difference should be small).\n", | |
"jnp.mean(jnp.abs(results - results1))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 35, | |
"id": "420221ec-a645-48bb-a094-bf80ec75bddc", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [], | |
"source": [ | |
"results = results1" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 36, | |
"id": "c8817431-6fc1-4308-bd04-5b4b48a1ce98", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<seaborn.axisgrid.FacetGrid at 0x29e584040>" | |
] | |
}, | |
"execution_count": 36, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 500x500 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# Inspect histogram of simulated 10-year returns\n", | |
"seaborn.displot(jnp.exp(jnp.sum(results[:, :120], axis=1)))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 37, | |
"id": "9ba5ed8e-2d39-4148-ac23-1a3f24f3648f", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 640x480 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# Inspect time series of 100 simulated 10-year periods\n", | |
"for i in range(100):\n", | |
" seaborn.lineplot(x=jnp.arange(120), y=jnp.exp(jnp.cumsum(results[i, :120])))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 38, | |
"id": "e352b721-a628-48e1-b44e-5e9cc0655455", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"0.11306385471587581" | |
] | |
}, | |
"execution_count": 38, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"# How often were 10-year returns negative in historical data?\n", | |
"# Note that results are heavily correlated because it counts overlapping 10-year windows.\n", | |
"np.mean(\n", | |
" df\n", | |
" .assign(\n", | |
" cslr=lambda x: np.cumsum(x[\"lr\"]),\n", | |
" window_ret=lambda x: x[\"cslr\"] - x[\"cslr\"].shift(periods=120)\n", | |
" )\n", | |
" .dropna()\n", | |
" [\"window_ret\"] < 0\n", | |
")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 39, | |
"id": "e975aa14-25fa-4d2a-b343-7f207c5ed109", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"1.9505348421209738" | |
] | |
}, | |
"execution_count": 39, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"# What was the median 10-year return in historical data?\n", | |
"# As above, windows are overlapping.\n", | |
"np.median(np.exp(df.assign(cslr=lambda x: np.cumsum(x[\"lr\"]), window_ret=lambda x: x[\"cslr\"] - x[\"cslr\"].shift(periods=120)).dropna()[\"window_ret\"]))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 40, | |
"id": "53b82667-9ca2-4c65-b2ff-098eaf881467", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"Array(0.05066, dtype=float32)" | |
] | |
}, | |
"execution_count": 40, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"# How often were 10-year returns negative in simulated data? This should agree\n", | |
"# with our historical data (within noise).\n", | |
"jnp.mean(jnp.sum(results[:, :120], axis=1) < 0)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 41, | |
"id": "d43dfe51-6a0c-4d10-8c3a-fe25e4e1eef7", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"Array(1.9083925, dtype=float32)" | |
] | |
}, | |
"execution_count": 41, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"# What was the median 10-year return in simulated data? As before, this should\n", | |
"# roughly agree with historical data.\n", | |
"jnp.median(jnp.exp(jnp.sum(results[:, :120], axis=1)))" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "d1010272-3e5e-4145-b5c4-1a96f91e4501", | |
"metadata": {}, | |
"source": [ | |
"Note that this model is _much_ better than the previous R-based models which assumed, respectively:\n", | |
"\n", | |
"1. Normal-distributed returns, independent of history\n", | |
"1. Generalized t-distributed returns, independent of history\n", | |
"1. Generalized t-distributed returns, dependent only on whether the prior month's returns were positive or negative.\n", | |
"\n", | |
"As a result, we can reasonably use this for medium- to long-horizon returns modeling while still accounting for extreme values (beyond what was observed in historical data).\n", | |
"\n", | |
"Note that, after fitting many distributions using Bayesian techniques (with Stan/NUTS), I found the best two-sample Kolmogorov-Smirnov distributional fit with generalized t distributions. Mean nu (degrees of freedom) was almost exactly 4.0. This is why I decided to do regression toward a _conditional_ t-distributed return based on historical data. In practice, various test statistics and return shapes seem to match historical data well while providing a way to draw extreme values.\n", | |
"\n", | |
"Note that the regression model in this notebook is _not_ a straight regression, but a probabilistic regression. The intent is not to predict the next month's return directly from historical data, but to predict the _distribution_ of the next month's return from historical data, with sufficiently fat tails. This is also why we use negative log likelihood loss based on a generalized t distribution rather than MSE (which assumes Gaussian noise)." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 42, | |
"id": "da30fe25-18a4-4d6f-a291-b9dbb3ebc0ef", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"0.4797891036906854" | |
] | |
}, | |
"execution_count": 42, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"# How often was the 10-year historical return greater than 2.0?\n", | |
"np.mean(\n", | |
" np.exp(\n", | |
" df\n", | |
" .assign(\n", | |
" cslr=lambda x: np.cumsum(x[\"lr\"]), \n", | |
" window_ret=lambda x: x[\"cslr\"] - x[\"cslr\"].shift(\n", | |
" periods=120)\n", | |
" )\n", | |
" .dropna()\n", | |
" [\"window_ret\"]\n", | |
" ) > 2.0\n", | |
")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 43, | |
"id": "b9ce8cad-a9c5-4b9e-b967-3e0cc220d815", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"Array(0.45246997, dtype=float32)" | |
] | |
}, | |
"execution_count": 43, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"# How often was the 10-year simulated return greater than 2.0?\n", | |
"jnp.mean(\n", | |
" jnp.exp(\n", | |
" jnp.sum(\n", | |
" results[:, :120],\n", | |
" axis=1\n", | |
" )\n", | |
" ) > 2.0\n", | |
")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 44, | |
"id": "97eab616-1e78-407e-882b-e11fa69231fd", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"537.371059576201" | |
] | |
}, | |
"execution_count": 44, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"# What was the median 100-year return in historical data?\n", | |
"# WARNING: This is heavily correlated. We only have a few observations of\n", | |
"# 100-year returns, and they're all heavily overlapping.\n", | |
"np.median(\n", | |
" np.exp(\n", | |
" df\n", | |
" .assign(cslr=lambda x: np.cumsum(x[\"lr\"]))\n", | |
" .assign(window_return=lambda x: x[\"cslr\"] - x[\"cslr\"].shift(periods=1200))\n", | |
" .dropna()\n", | |
" [\"window_return\"]\n", | |
" )\n", | |
")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 45, | |
"id": "41f86f5b-d4ce-4e83-8846-c10b162824b4", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"Array(651.6831, dtype=float32)" | |
] | |
}, | |
"execution_count": 45, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"# What was the median 100-year return in simulated data?\n", | |
"jnp.median(jnp.exp(jnp.sum(results[:, :1200], axis=1)))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 46, | |
"id": "1ae31d09-a8d3-4511-92b8-e2966c3d6135", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"2028.889137147105" | |
] | |
}, | |
"execution_count": 46, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"# What was the max 100-year return in historical data? As before, observations\n", | |
"# are strongly correlated.\n", | |
"np.max(\n", | |
" np.exp(\n", | |
" df\n", | |
" .assign(cslr=lambda x: np.cumsum(x[\"lr\"]))\n", | |
" .assign(window_return=lambda x: x[\"cslr\"] - x[\"cslr\"].shift(periods=1200))\n", | |
" .dropna()\n", | |
" [\"window_return\"]\n", | |
" )\n", | |
")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 47, | |
"id": "59265bb0-baad-4b60-a111-868bc1620977", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"Array(10584266., dtype=float32)" | |
] | |
}, | |
"execution_count": 47, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"# What was the max 100-year return in simulated data? We expect this to be more\n", | |
"# extreme than observed data, since there's much more of it.\n", | |
"jnp.max(jnp.exp(jnp.sum(results[:, :1200], axis=1)))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 48, | |
"id": "920329b7-d4f3-4273-8aeb-4743d79fac42", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"241.30291710048306" | |
] | |
}, | |
"execution_count": 48, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"# Similarly, inspect the minimum 100-year return in historical data.\n", | |
"np.min(\n", | |
" np.exp(\n", | |
" df\n", | |
" .assign(cslr=lambda x: np.cumsum(x[\"lr\"]))\n", | |
" .assign(window_return=lambda x: x[\"cslr\"] - x[\"cslr\"].shift(periods=1200))\n", | |
" .dropna()\n", | |
" [\"window_return\"]\n", | |
" )\n", | |
")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 49, | |
"id": "4923c9c3-f13b-41d3-8330-305be3e00a16", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"Array(3.6652303, dtype=float32)" | |
] | |
}, | |
"execution_count": 49, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"# And minimum 100-year return in simulated data.\n", | |
"jnp.min(jnp.exp(jnp.sum(results[:, :1200], axis=1)))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 50, | |
"id": "4edad445-2a97-4bbb-bc30-b2b704bfe1dc", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"Array(0., dtype=float32)" | |
] | |
}, | |
"execution_count": 50, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"# Note that the above result indicates a negative return. With the large number\n", | |
"# of simulations, we _did_ observe negative 100-year returns. (This does not\n", | |
"# occur in historical data).\n", | |
"\n", | |
"# EDIT: With the new data, this is no longer the case. We do not observe any\n", | |
"# negative simulated 100-year returns.\n", | |
"\n", | |
"# What's the probability of a negative 100-year return? Pretty small (as expected).\n", | |
"jnp.mean(jnp.sum(results[:, :1200], axis=1) < 0)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 51, | |
"id": "d14375c1-7e43-450d-8727-a0ab3a299610", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"0.1907187323146576" | |
] | |
}, | |
"execution_count": 51, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"# Probability of a negative 5-year historical return\n", | |
"np.mean(\n", | |
" df\n", | |
" .assign(\n", | |
" cslr=lambda x: np.cumsum(x[\"lr\"]), \n", | |
" window_ret=lambda x: x[\"cslr\"] - x[\"cslr\"].shift(\n", | |
" periods=60)\n", | |
" )\n", | |
" .dropna()\n", | |
" [\"window_ret\"] < 0\n", | |
")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 52, | |
"id": "6c8f4d57-6034-44cf-b1f2-f7dce3567378", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"Array(0.11719999, dtype=float32)" | |
] | |
}, | |
"execution_count": 52, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"# Probability of a negative 5-year simulated return\n", | |
"jnp.mean(jnp.sum(results[:, :60], axis=1) < 0)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 53, | |
"id": "9cf94a22-2d83-4729-b9a5-de56d2de8917", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [], | |
"source": [ | |
"# TODO: Consider dropping 1e6 simulated stock runs over 100 years into a duckdb\n", | |
"# table or BigQuery to make it easier to query. This is 4.5 GiB of float32\n", | |
"# data, so it's not realistic to save it into the git repo." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"id": "436748f7-5f5c-44ca-998d-4ff921baf171", | |
"metadata": {}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 3 (ipykernel)", | |
"language": "python", | |
"name": "python3" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.10.11" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 5 | |
} |
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