190 lines
76 KiB
Plaintext
190 lines
76 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"id": "3f755836",
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"metadata": {},
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"source": [
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"<div style=\"background-color:#000;\"><img src=\"pqn.png\"></img></div>"
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]
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},
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{
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"cell_type": "markdown",
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"id": "cdfa54ce",
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"metadata": {},
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"source": [
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"This notebook simulates an asset price path with jumps using a Jump-Diffusion model. The model incorporates both continuous Brownian motion and discrete jumps to capture sudden price changes. The asset price path is generated through a loop, updating the price at each time step based on random components. Parameters such as initial stock price, drift, volatility, jump intensity, and jump size are used to define the simulation. This is useful in practice for modeling asset prices that may experience sudden changes, such as stocks or commodities."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"id": "7978242b",
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"metadata": {},
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"outputs": [],
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"source": [
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"import numpy as np\n",
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"import matplotlib.pyplot as plt"
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]
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},
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{
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"cell_type": "markdown",
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"id": "2bc38516",
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"metadata": {},
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"source": [
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"Define initial stock price, drift, volatility, and jump parameters for the simulation"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"id": "dc2ffcff",
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"metadata": {},
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"outputs": [],
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"source": [
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"S0 = 100 # Initial stock price\n",
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"mu = 0.05 # Drift\n",
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"sigma = 0.2 # Volatility\n",
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"lambda_ = 0.1 # Jump intensity (average number of jumps per year)\n",
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"mu_j = -0.2 # Mean of the jump size\n",
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"sigma_j = 0.1 # Standard deviation of the jump size\n",
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"T = 1 # Time horizon (1 year)\n",
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"dt = 1/252 # Time step (1 trading day)\n",
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"N = int(T / dt) # Number of steps"
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]
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},
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{
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"cell_type": "markdown",
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"id": "29e4d6d2",
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"metadata": {},
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"source": [
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"Seed the random number generator for reproducibility"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"id": "220b24ee",
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"metadata": {},
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"outputs": [],
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"source": [
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"np.random.seed(42)"
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]
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},
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{
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"cell_type": "markdown",
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"id": "8577dd29",
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"metadata": {},
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"source": [
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"Initialize an array to store simulated prices"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"id": "12b8ba86",
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"metadata": {},
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"outputs": [],
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"source": [
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"prices = np.zeros(N)\n",
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"prices[0] = S0"
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]
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},
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{
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"cell_type": "markdown",
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"id": "8efd0278",
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"metadata": {},
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"source": [
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"Simulate the asset price path using a loop to update the price at each time step. Each update incorporates both Brownian motion and potential jumps."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 5,
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"id": "079bf838",
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"metadata": {},
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"outputs": [],
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"source": [
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"for t in range(1, N):\n",
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" # Generate normally distributed random variable for Brownian motion\n",
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" Z = np.random.normal(0, 1)\n",
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" \n",
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" # Determine if a jump occurs and generate the jump size\n",
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" J = np.random.normal(mu_j, sigma_j) if np.random.poisson(lambda_ * dt) > 0 else 0\n",
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" \n",
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" # Update the price using the Jump-Diffusion model formula\n",
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" prices[t] = prices[t-1] * np.exp((mu - 0.5 * sigma**2) * dt + sigma * np.sqrt(dt) * Z + J)"
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]
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},
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{
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"cell_type": "markdown",
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"id": "64df25f3",
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"metadata": {},
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"source": [
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"Plot the simulated asset price path to visualize the outcome"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 6,
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"id": "6fcd9cb6",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1000x600 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plt.figure(figsize=(10, 6))\n",
|
|
"plt.plot(prices, label='Simulated Asset Price with Jumps')\n",
|
|
"plt.xlabel('Time (days)')\n",
|
|
"plt.ylabel('Price')\n",
|
|
"plt.title('Simulated Asset Price Path with Poisson Jumps')\n",
|
|
"plt.legend()\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "30458478",
|
|
"metadata": {},
|
|
"source": [
|
|
"<a href=\"https://pyquantnews.com/\">PyQuant News</a> is where finance practitioners level up with Python for quant finance, algorithmic trading, and market data analysis. Looking to get started? Check out the fastest growing, top-selling course to <a href=\"https://gettingstartedwithpythonforquantfinance.com/\">get started with Python for quant finance</a>. For educational purposes. Not investment advise. Use at your own risk."
|
|
]
|
|
}
|
|
],
|
|
"metadata": {
|
|
"jupytext": {
|
|
"cell_metadata_filter": "-all",
|
|
"main_language": "python",
|
|
"notebook_metadata_filter": "-all"
|
|
},
|
|
"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": "3.10.13"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 5
|
|
}
|