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May 8, 2025 23:05
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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"id": "e91c0bc2-18c0-4bc8-b734-deb76b43bbb1", | |
"metadata": {}, | |
"source": [ | |
"# Introduction\n", | |
"\n", | |
"This notebook explores the application of Monte Carlo simulation in derivatives pricing, focusing on **European call options** and **European binary call options**. We implement two numerical approximation schemes—**Euler-Maruyama (E-M)** and **Milstein**—to simulate stock price paths under Geometric Brownian Motion (GBM) and compare their performance against the exact **Black-Scholes-Merton (BSM)** formulas for both option types.\n", | |
"\n", | |
"The objective is to:\n", | |
"- Assess the accuracy and convergence of E-M and Milstein schemes relative to BSM prices.\n", | |
"- Analyze error levels and convergence rates under various scenarios.\n", | |
"- Perform a sensitivity analysis on BSM input parameters.\n", | |
"- Provide insights into practical implications for derivatives pricing.\n", | |
"\n", | |
"We begin with initial parameters: stock price $S_0 = 100$, strike price $K = 100$, time to expiry $\\tau = 1$ year, volatility $\\sigma = 20\\%$, and risk-free rate $r = 5\\%$. The analysis includes scenario and sensitivity studies, visualized with tables, 2D plots, and interactive 3D graphs inspired by Peter Jaeckel's work in *Monte Carlo Methods in Finance*." | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "bb9d1c7f-5044-455a-9298-0e7669808df5", | |
"metadata": {}, | |
"source": [ | |
"## Mathematical Background\n", | |
"\n", | |
"### Stock Price Dynamics\n", | |
"Under the risk-neutral measure, the stock price $S_t$ follows a Geometric Brownian Motion (GBM). GBM assumes the logarithm of the asset price follows a brownian motion with drift and volatility. Then, in derivatives pricing, GBM is a stochastic process $ S = {S(t), t>= 0} $ if it satisfies the following stochastic differential equation (SDE):\n", | |
"\n", | |
"$$ dS_t = \\mu S_t dt + \\sigma S_t dW_t $$\n", | |
"\n", | |
"where:\n", | |
"- $mu$ is the drift over time\n", | |
"- $\\sigma$ is the volatility,\n", | |
"- $W_t$ is a Wiener process.\n", | |
"\n", | |
"The exact solution is:\n", | |
"\n", | |
"$$ S_t = S_0 \\exp\\left( \\left( r - \\frac{\\sigma^2}{2} \\right) t + \\sigma W_t \\right) $$" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "c4a340af-49fb-4d88-9993-4d8f1eb9e938", | |
"metadata": {}, | |
"source": [ | |
"#### Sample paths under Geometric Brownian Motion (GBM) and Euler-Maruyama Discretization\n", | |
"import matplotlib.pyplot as plt\n", | |
"import numpy as np\n", | |
"\n", | |
"def geometric_brownian_motion(t, n):\n", | |
" dt = t / n\n", | |
" dW = np.random.normal(0, np.sqrt(dt), n)\n", | |
" W = np.cumsum(dW)\n", | |
" return np.append([0], W)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"id": "8aa1bb47-9c10-4804-a464-804cb460f6e6", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import matplotlib.pyplot as plt\n", | |
"import numpy as np\n", | |
"\n", | |
"def geometric_brownian_motion(t, n):\n", | |
" dt = t / n\n", | |
" dW = np.random.normal(0, np.sqrt(dt), n)\n", | |
" W = np.cumsum(dW)\n", | |
" return np.append([0], W)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"id": "36fcbb3b-d645-49ac-b3c4-33201498a188", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
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", | |
"text/plain": [ | |
"<Figure size 640x480 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# generate time points\n", | |
"t = 1\n", | |
"n = 10000\n", | |
"time = np.linspace(0, t, n+1)\n", | |
"\n", | |
"# generate sample paths of Brownian Motion\n", | |
"paths = [geometric_brownian_motion(t, n) for _ in range(3)]\n", | |
"\n", | |
"# plot sample paths\n", | |
"plt.plot(time, paths[0], label=\"Path 1\")\n", | |
"plt.plot(time, paths[1], label=\"Path 2\")\n", | |
"plt.plot(time, paths[2], label=\"Path 3\")\n", | |
"plt.xlabel('Time')\n", | |
"plt.ylabel(\"Value Brownian Motion\")\n", | |
"plt.title(\"Sample Paths of a Geometric Brownian Motion\")\n", | |
"plt.legend()\n", | |
"plt.show()\n", | |
" " | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"id": "51aeefbd-55f6-4a77-a270-6ea21f51a787", | |
"metadata": { | |
"scrolled": true | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 1000x600 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# Import libraries\n", | |
"import numpy as np\n", | |
"import matplotlib.pyplot as plt\n", | |
"\n", | |
"# Parameters\n", | |
"S0 = 100 # initial stock price\n", | |
"mu = 0.05 # expected return\n", | |
"sigma = 0.2 # volatility\n", | |
"T = 1.0 # time horizon (1 year)\n", | |
"N = 252 # number of time steps (daily)\n", | |
"dt = T / N # time increment\n", | |
"n_paths = 5 # number of paths to simulate\n", | |
"\n", | |
"# Simulate GBM paths\n", | |
"np.random.seed(42)\n", | |
"t = np.linspace(0, T, N)\n", | |
"paths = np.zeros((n_paths, N))\n", | |
"paths[:, 0] = S0\n", | |
"\n", | |
"for i in range(n_paths):\n", | |
" for j in range(1, N):\n", | |
" z = np.random.normal()\n", | |
" paths[i, j] = paths[i, j - 1] * np.exp((mu - 0.5 * sigma**2) * dt + sigma * np.sqrt(dt) * z)\n", | |
"\n", | |
"# Plot the paths\n", | |
"plt.figure(figsize=(10, 6))\n", | |
"for i in range(n_paths):\n", | |
" plt.plot(t, paths[i], lw=1.5, label=f'Path {i+1}')\n", | |
"plt.title('Simulated Geometric Brownian Motion (GBM) Paths')\n", | |
"plt.xlabel('Time (Years)')\n", | |
"plt.ylabel('Asset Price')\n", | |
"plt.grid(True)\n", | |
"plt.legend()\n", | |
"plt.show()\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "536dab8a-1e71-48b0-b71f-8e47f10d47ef", | |
"metadata": {}, | |
"source": [ | |
"### Black-Scholes-Merton Formulas" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "6f3229be-565f-4f49-ac80-7e7ba93ceb3c", | |
"metadata": {}, | |
"source": [ | |
"#### European Call Option" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "902644f5-078a-4a3c-86cd-66c276f74d7d", | |
"metadata": {}, | |
"source": [ | |
"For a European call option with strike $K$ and maturity $T$, the payoff is $\\max(S_T - K, 0)$. The BSM price is:\n", | |
"\n", | |
"$$ C = S_0 \\Phi(d_1) - K e^{-rT} \\Phi(d_2) $$\n", | |
"\n", | |
"where:\n", | |
"$$ d_1 = \\frac{\\ln(S_0 / K) + (r + \\sigma^2 / 2)T}{\\sigma \\sqrt{T}} $$\n", | |
"$$ d_2 = d_1 - \\sigma \\sqrt{T} $$\n", | |
"\n", | |
"and $\\Phi$ is the standard normal cumulative distribution function." | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "6644efb4-5b28-4eb7-b765-cd56d9d1957a", | |
"metadata": {}, | |
"source": [ | |
"#### European Binary Call Option\n", | |
"For a European binary call option, the payoff is $1$ if $S_T > K$, and $0$ otherwise. The BSM price is:\n", | |
"\n", | |
"$$ C_{\\text{binary}} = e^{-rT} \\Phi(d_2) $$" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "1af197fb-577b-477e-b635-6b85efc5ef4c", | |
"metadata": {}, | |
"source": [ | |
"#### Baseline Parameters" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"id": "d5822ced-d098-49af-ba67-ef60852b85cf", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"# Parameters\n", | |
"S0 = 100 # initial stock price\n", | |
"K = 100 # strike price\n", | |
"T = 1.0 # time to maturity\n", | |
"r = 0.05 # risk-free rate\n", | |
"sigma = 0.2 # volatility\n", | |
"N = 252 # number of time steps\n", | |
"M = 10000 # number of simulations\n", | |
"dt = T / N # time step size (dt) = time-to-expiry / number of time steps\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "4478981e-9160-413c-a6e7-e5882bd9befe", | |
"metadata": {}, | |
"source": [ | |
"### Time Discretization" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "fdab4d01-ae32-41ed-b642-cee53df0cd52", | |
"metadata": {}, | |
"source": [ | |
"#### Euler-Maruyama Scheme\n", | |
"A first-order approximation discretizes the SDE over time step $\\Delta t$:\n", | |
"\n", | |
"$$ S_{t + \\Delta t} = S_t + r S_t \\Delta t + \\sigma S_t \\sqrt{\\Delta t} Z $$\n", | |
"\n", | |
"where $Z \\sim N(0,1)$.\n", | |
"\n", | |
"#### Milstein Scheme\n", | |
"A higher-order method adds a correction term:\n", | |
"\n", | |
"$$ S_{t + \\Delta t} = S_t + r S_t \\Delta t + \\sigma S_t \\sqrt{\\Delta t} Z + \\frac{1}{2} \\sigma^2 S_t (Z^2 \\Delta t - \\Delta t) $$" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "275218d1-88b6-443c-8bc6-9c938a41a310", | |
"metadata": {}, | |
"source": [ | |
"### Error Measurement\n", | |
"This report will evaluate the error associated with Monte Carlo methods as the absolute value of the difference between the price approximations from each of the numerical schemes and the analytical Black-Scholes prices. We will then evaluate convergence behavior and error rates under each price discretization scheme." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"id": "7c0a11d0-33de-469b-ba90-9f1c5b298fd8", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"# Import required libraries\n", | |
"import numpy as np\n", | |
"from scipy.stats import norm\n", | |
"import pandas as pd\n", | |
"import matplotlib.pyplot as plt\n", | |
"import seaborn as sns\n", | |
"import plotly.graph_objects as go\n", | |
"\n", | |
"# Set random seed for reproducibility\n", | |
"np.random.seed(42)\n", | |
"\n", | |
"# Set Seaborn style for aesthetics\n", | |
"sns.set_style(\"whitegrid\")" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "7e067901-8043-4b90-b860-56b0d7364d2e", | |
"metadata": {}, | |
"source": [ | |
"## Function Definitions" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"id": "d6914405-2c0d-4c10-89b2-8f3aca7dd873", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"# Black-Scholes-Merton call price\n", | |
"def bsm_call_price(S0, K, T, sigma, r):\n", | |
" d1 = (np.log(S0 / K) + (r + 0.5 * sigma**2) * T) / (sigma * np.sqrt(T))\n", | |
" d2 = d1 - sigma * np.sqrt(T)\n", | |
" call_price = S0 * norm.cdf(d1) - K * np.exp(-r * T) * norm.cdf(d2)\n", | |
" return call_price\n", | |
"\n", | |
"# Black-Scholes-Merton binary call price\n", | |
"def bsm_binary_call_price(S0, K, T, sigma, r):\n", | |
" d2 = (np.log(S0 / K) + (r - 0.5 * sigma**2) * T) / (sigma * np.sqrt(T))\n", | |
" binary_price = np.exp(-r * T) * norm.cdf(d2)\n", | |
" return binary_price\n", | |
"\n", | |
"# Euler-Maruyama simulation\n", | |
"def euler_maruyama(S0, r, sigma, T, num_steps, num_paths):\n", | |
" dt = T / num_steps\n", | |
" S = np.zeros((num_paths, num_steps + 1))\n", | |
" S[:, 0] = S0\n", | |
" for i in range(num_steps):\n", | |
" Z = np.random.normal(0, 1, num_paths)\n", | |
" S[:, i+1] = S[:, i] + r * S[:, i] * dt + sigma * S[:, i] * np.sqrt(dt) * Z\n", | |
" return S[:, -1]\n", | |
"\n", | |
"# Milstein simulation\n", | |
"def milstein(S0, r, sigma, T, num_steps, num_paths):\n", | |
" dt = T / num_steps\n", | |
" S = np.zeros((num_paths, num_steps + 1))\n", | |
" S[:, 0] = S0\n", | |
" for i in range(num_steps):\n", | |
" Z = np.random.normal(0, 1, num_paths)\n", | |
" S[:, i+1] = S[:, i] + r * S[:, i] * dt + sigma * S[:, i] * np.sqrt(dt) * Z + \\\n", | |
" 0.5 * sigma**2 * S[:, i] * (Z**2 * dt - dt)\n", | |
" return S[:, -1]\n", | |
"\n", | |
"# Monte Carlo pricing functions\n", | |
"def mc_price_em(S0, K, T, sigma, r, num_steps, num_paths, option_type='call'):\n", | |
" S_T = euler_maruyama(S0, r, sigma, T, num_steps, num_paths)\n", | |
" if option_type == 'call':\n", | |
" payoffs = np.maximum(S_T - K, 0)\n", | |
" else: # binary call\n", | |
" payoffs = (S_T > K).astype(float)\n", | |
" return np.exp(-r * T) * np.mean(payoffs)\n", | |
"\n", | |
"def mc_price_milstein(S0, K, T, sigma, r, num_steps, num_paths, option_type='call'):\n", | |
" S_T = milstein(S0, r, sigma, T, num_steps, num_paths)\n", | |
" if option_type == 'call':\n", | |
" payoffs = np.maximum(S_T - K, 0)\n", | |
" else: # binary call\n", | |
" payoffs = (S_T > K).astype(float)\n", | |
" return np.exp(-r * T) * np.mean(payoffs)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "32d68096-d6c1-4f28-a92e-a14dc73ea30c", | |
"metadata": {}, | |
"source": [ | |
"## Numerical Error Analysis" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "3a979724-02d0-466d-ad6f-8c6379bfb06e", | |
"metadata": {}, | |
"source": [ | |
"Here, we will present the portion of Monte Carlo error that comes from discretization of time relative to the idealized \"continuous-time\" environment used in the Black-Scholes model.\n", | |
"\n", | |
"We will look at Euler-Maruyama (E-M) and Milstein schemes from two angles:\n", | |
"1. Varying the number of time steps to study convergence to the BSM price.\n", | |
"2. Varying time to maturity ($\\tau$) to observe error behavior.\n", | |
"\n", | |
"Initial parameters: $S_0 = 100$, $K = 100$, $T = 1$, $\\sigma = 0.2$, $r = 0.05$, with 100,000 paths.\n", | |
"\n", | |
"#### Scenario Analysis Part One: Varying the Number of Time Steps" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"id": "c0bbf7a9-d7da-4bfc-924b-9843a4c1119c", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"# Initial parameters\n", | |
"S0, K, T, sigma, r = 100, 100, 1, 0.2, 0.05\n", | |
"num_paths = 100000\n", | |
"\n", | |
"# Vary number of time steps\n", | |
"num_steps_list = [1, 2, 5, 10, 20, 50, 100, 200, 500, 1000]\n", | |
"bsm_price = bsm_call_price(S0, K, T, sigma, r)\n", | |
"bsm_binary_price = bsm_binary_call_price(S0, K, T, sigma, r)\n", | |
"results_steps = []\n", | |
"\n", | |
"for num_steps in num_steps_list:\n", | |
" em_price = mc_price_em(S0, K, T, sigma, r, num_steps, num_paths, 'call')\n", | |
" mil_price = mc_price_milstein(S0, K, T, sigma, r, num_steps, num_paths, 'call')\n", | |
" em_binary_price = mc_price_em(S0, K, T, sigma, r, num_steps, num_paths, 'binary')\n", | |
" mil_binary_price = mc_price_milstein(S0, K, T, sigma, r, num_steps, num_paths, 'binary')\n", | |
" results_steps.append({\n", | |
" 'num_steps': num_steps,\n", | |
" 'em_price': em_price,\n", | |
" 'mil_price': mil_price,\n", | |
" 'em_error': abs(em_price - bsm_price),\n", | |
" 'mil_error': abs(mil_price - bsm_price),\n", | |
" 'em_binary_price': em_binary_price,\n", | |
" 'mil_binary_price': mil_binary_price,\n", | |
" 'em_binary_error': abs(em_binary_price - bsm_binary_price),\n", | |
" 'mil_binary_error': abs(mil_binary_price - bsm_binary_price)\n", | |
" })\n", | |
"\n", | |
"df_steps = pd.DataFrame(results_steps)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"id": "e5310af7-e680-4bc1-baeb-b26cc2135a54", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
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"rows": [ | |
[ | |
"0", | |
"1", | |
"10.2238", | |
"10.0551", | |
"0.2268", | |
"0.3955", | |
"0.5667", | |
"0.533", | |
"0.0343", | |
"0.0007" | |
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"1", | |
"2", | |
"10.3198", | |
"10.2805", | |
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"0.5476", | |
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"0.0018" | |
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[ | |
"2", | |
"5", | |
"10.3674", | |
"10.408", | |
"0.0832", | |
"0.0426", | |
"0.5397", | |
"0.5305", | |
"0.0074", | |
"0.0018" | |
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[ | |
"3", | |
"10", | |
"10.4785", | |
"10.4006", | |
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"0.05", | |
"0.5357", | |
"0.5319", | |
"0.0033", | |
"0.0004" | |
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[ | |
"4", | |
"20", | |
"10.4371", | |
"10.3465", | |
"0.0135", | |
"0.1041", | |
"0.536", | |
"0.5326", | |
"0.0037", | |
"0.0003" | |
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[ | |
"5", | |
"50", | |
"10.4663", | |
"10.3512", | |
"0.0157", | |
"0.0994", | |
"0.5328", | |
"0.5315", | |
"0.0004", | |
"0.0009" | |
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[ | |
"6", | |
"100", | |
"10.4423", | |
"10.3191", | |
"0.0083", | |
"0.1315", | |
"0.5292", | |
"0.53", | |
"0.0031", | |
"0.0023" | |
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[ | |
"7", | |
"200", | |
"10.4571", | |
"10.4759", | |
"0.0065", | |
"0.0254", | |
"0.5315", | |
"0.5329", | |
"0.0008", | |
"0.0006" | |
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[ | |
"8", | |
"500", | |
"10.3999", | |
"10.4849", | |
"0.0506", | |
"0.0343", | |
"0.533", | |
"0.5309", | |
"0.0006", | |
"0.0014" | |
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[ | |
"9", | |
"1000", | |
"10.3957", | |
"10.5392", | |
"0.0549", | |
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"0.5305", | |
"0.5336", | |
"0.0018", | |
"0.0012" | |
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"text/html": [ | |
"<div>\n", | |
"<style scoped>\n", | |
" .dataframe tbody tr th:only-of-type {\n", | |
" vertical-align: middle;\n", | |
" }\n", | |
"\n", | |
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" .dataframe thead th {\n", | |
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" }\n", | |
"</style>\n", | |
"<table border=\"1\" class=\"dataframe\">\n", | |
" <thead>\n", | |
" <tr style=\"text-align: right;\">\n", | |
" <th></th>\n", | |
" <th>num_steps</th>\n", | |
" <th>em_price</th>\n", | |
" <th>mil_price</th>\n", | |
" <th>em_error</th>\n", | |
" <th>mil_error</th>\n", | |
" <th>em_binary_price</th>\n", | |
" <th>mil_binary_price</th>\n", | |
" <th>em_binary_error</th>\n", | |
" <th>mil_binary_error</th>\n", | |
" </tr>\n", | |
" </thead>\n", | |
" <tbody>\n", | |
" <tr>\n", | |
" <th>0</th>\n", | |
" <td>1</td>\n", | |
" <td>10.2238</td>\n", | |
" <td>10.0551</td>\n", | |
" <td>0.2268</td>\n", | |
" <td>0.3955</td>\n", | |
" <td>0.5667</td>\n", | |
" <td>0.5330</td>\n", | |
" <td>0.0343</td>\n", | |
" <td>0.0007</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>1</th>\n", | |
" <td>2</td>\n", | |
" <td>10.3198</td>\n", | |
" <td>10.2805</td>\n", | |
" <td>0.1308</td>\n", | |
" <td>0.1701</td>\n", | |
" <td>0.5476</td>\n", | |
" <td>0.5341</td>\n", | |
" <td>0.0152</td>\n", | |
" <td>0.0018</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>2</th>\n", | |
" <td>5</td>\n", | |
" <td>10.3674</td>\n", | |
" <td>10.4080</td>\n", | |
" <td>0.0832</td>\n", | |
" <td>0.0426</td>\n", | |
" <td>0.5397</td>\n", | |
" <td>0.5305</td>\n", | |
" <td>0.0074</td>\n", | |
" <td>0.0018</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>3</th>\n", | |
" <td>10</td>\n", | |
" <td>10.4785</td>\n", | |
" <td>10.4006</td>\n", | |
" <td>0.0279</td>\n", | |
" <td>0.0500</td>\n", | |
" <td>0.5357</td>\n", | |
" <td>0.5319</td>\n", | |
" <td>0.0033</td>\n", | |
" <td>0.0004</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>4</th>\n", | |
" <td>20</td>\n", | |
" <td>10.4371</td>\n", | |
" <td>10.3465</td>\n", | |
" <td>0.0135</td>\n", | |
" <td>0.1041</td>\n", | |
" <td>0.5360</td>\n", | |
" <td>0.5326</td>\n", | |
" <td>0.0037</td>\n", | |
" <td>0.0003</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>5</th>\n", | |
" <td>50</td>\n", | |
" <td>10.4663</td>\n", | |
" <td>10.3512</td>\n", | |
" <td>0.0157</td>\n", | |
" <td>0.0994</td>\n", | |
" <td>0.5328</td>\n", | |
" <td>0.5315</td>\n", | |
" <td>0.0004</td>\n", | |
" <td>0.0009</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>6</th>\n", | |
" <td>100</td>\n", | |
" <td>10.4423</td>\n", | |
" <td>10.3191</td>\n", | |
" <td>0.0083</td>\n", | |
" <td>0.1315</td>\n", | |
" <td>0.5292</td>\n", | |
" <td>0.5300</td>\n", | |
" <td>0.0031</td>\n", | |
" <td>0.0023</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>7</th>\n", | |
" <td>200</td>\n", | |
" <td>10.4571</td>\n", | |
" <td>10.4759</td>\n", | |
" <td>0.0065</td>\n", | |
" <td>0.0254</td>\n", | |
" <td>0.5315</td>\n", | |
" <td>0.5329</td>\n", | |
" <td>0.0008</td>\n", | |
" <td>0.0006</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>8</th>\n", | |
" <td>500</td>\n", | |
" <td>10.3999</td>\n", | |
" <td>10.4849</td>\n", | |
" <td>0.0506</td>\n", | |
" <td>0.0343</td>\n", | |
" <td>0.5330</td>\n", | |
" <td>0.5309</td>\n", | |
" <td>0.0006</td>\n", | |
" <td>0.0014</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>9</th>\n", | |
" <td>1000</td>\n", | |
" <td>10.3957</td>\n", | |
" <td>10.5392</td>\n", | |
" <td>0.0549</td>\n", | |
" <td>0.0887</td>\n", | |
" <td>0.5305</td>\n", | |
" <td>0.5336</td>\n", | |
" <td>0.0018</td>\n", | |
" <td>0.0012</td>\n", | |
" </tr>\n", | |
" </tbody>\n", | |
"</table>\n", | |
"</div>" | |
], | |
"text/plain": [ | |
" num_steps em_price mil_price em_error mil_error em_binary_price \\\n", | |
"0 1 10.2238 10.0551 0.2268 0.3955 0.5667 \n", | |
"1 2 10.3198 10.2805 0.1308 0.1701 0.5476 \n", | |
"2 5 10.3674 10.4080 0.0832 0.0426 0.5397 \n", | |
"3 10 10.4785 10.4006 0.0279 0.0500 0.5357 \n", | |
"4 20 10.4371 10.3465 0.0135 0.1041 0.5360 \n", | |
"5 50 10.4663 10.3512 0.0157 0.0994 0.5328 \n", | |
"6 100 10.4423 10.3191 0.0083 0.1315 0.5292 \n", | |
"7 200 10.4571 10.4759 0.0065 0.0254 0.5315 \n", | |
"8 500 10.3999 10.4849 0.0506 0.0343 0.5330 \n", | |
"9 1000 10.3957 10.5392 0.0549 0.0887 0.5305 \n", | |
"\n", | |
" mil_binary_price em_binary_error mil_binary_error \n", | |
"0 0.5330 0.0343 0.0007 \n", | |
"1 0.5341 0.0152 0.0018 \n", | |
"2 0.5305 0.0074 0.0018 \n", | |
"3 0.5319 0.0033 0.0004 \n", | |
"4 0.5326 0.0037 0.0003 \n", | |
"5 0.5315 0.0004 0.0009 \n", | |
"6 0.5300 0.0031 0.0023 \n", | |
"7 0.5329 0.0008 0.0006 \n", | |
"8 0.5309 0.0006 0.0014 \n", | |
"9 0.5336 0.0018 0.0012 " | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"\n", | |
"# Display table\n", | |
"display(df_steps.round(4))" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "e266e5ea-bde0-4e5e-802d-c4f7a7d229eb", | |
"metadata": {}, | |
"source": [ | |
"## OPEN TO EVALUATE THE APPLICABILITY OF LOGLOG PLOTS HERE, MAYBE ADD BOX AND WHISKER PLOTS for PRICE RESULTS ANALYSIS of E-M vs MIL vs BSM" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"id": "b9556643-ab9b-4cb0-9f1d-d49b2663caaa", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 1400x600 with 2 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# Plot convergence\n", | |
"fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(14, 6))\n", | |
"ax1.loglog(df_steps['num_steps'], df_steps['em_error'], label='Euler-Maruyama Call Error', color='blue')\n", | |
"ax1.loglog(df_steps['num_steps'], df_steps['mil_error'], label='Milstein Call Error', color='orange')\n", | |
"ax1.set_xlabel('Number of Time Steps (log scale)')\n", | |
"ax1.set_ylabel('Absolute Error (log scale)')\n", | |
"ax1.set_title('Call Option Convergence to BSM Price')\n", | |
"ax1.legend()\n", | |
"\n", | |
"ax2.loglog(df_steps['num_steps'], df_steps['em_binary_error'], label='Euler-Maruyama Binary Call Error', color='blue')\n", | |
"ax2.loglog(df_steps['num_steps'], df_steps['mil_binary_error'], label='Milstein Binary Call Error', color='orange')\n", | |
"ax2.set_xlabel('Number of Time Steps (log scale)')\n", | |
"ax2.set_ylabel('Absolute Error (log scale)')\n", | |
"ax2.set_title('Binary Call Option Convergence to BSM Price')\n", | |
"ax2.legend()\n", | |
"plt.tight_layout()\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 10, | |
"id": "ce822704-e476-431f-965f-615efa59098f", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"df_steps[\"step_size\"] = pd.Series(1.0/df_steps['num_steps'])" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "432022c8-4864-4e5a-9f68-0d756ac476f6", | |
"metadata": {}, | |
"source": [ | |
"##### Reformat Convergence Diagram: Errors versus Size of the Time Step" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 11, | |
"id": "17f9edbc-fcfe-4733-81f3-9b8cc7048ed9", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 1400x600 with 2 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# Plot convergence\n", | |
"fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(14, 6))\n", | |
"ax1.plot(df_steps['step_size'], df_steps['em_error'], label='Euler-Maruyama Call Error', color='magenta')\n", | |
"ax1.plot(df_steps['step_size'], df_steps['mil_error'], label='Milstein Call Error', color='cyan')\n", | |
"ax1.set_xlabel('Size of the Time Step')\n", | |
"ax1.set_ylabel('Absolute Error')\n", | |
"ax1.set_title('Call Option Convergence to BSM Price')\n", | |
"ax1.legend()\n", | |
"\n", | |
"ax2.plot(df_steps['step_size'], df_steps['em_binary_error'], label='Euler-Maruyama Binary Call Error', color='magenta')\n", | |
"ax2.plot(df_steps['step_size'], df_steps['mil_binary_error'], label='Milstein Binary Call Error', color='cyan')\n", | |
"ax2.set_xlabel('Size of the Time Step')\n", | |
"ax2.set_ylabel('Absolute Error')\n", | |
"ax2.set_title('Binary Call Option Convergence to BSM Price')\n", | |
"ax2.legend()\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 12, | |
"id": "f60af68c-de94-49c9-bb42-c53f32330991", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"BSM Call Price: 10.4506\n", | |
"BSM Binary Call Price: 0.5323\n" | |
] | |
} | |
], | |
"source": [ | |
"# Print Black-Scholes baseline prices for European call and binary call\n", | |
"print(f\"BSM Call Price: {bsm_price:.4f}\")\n", | |
"print(f\"BSM Binary Call Price: {bsm_binary_price:.4f}\")\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 13, | |
"id": "c75c1c55-7eae-4c7f-862d-f16b0d9552bd", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
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{ | |
"name": "index", | |
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"name": "num_steps", | |
"rawType": "int64", | |
"type": "integer" | |
}, | |
{ | |
"name": "em_price", | |
"rawType": "float64", | |
"type": "float" | |
}, | |
{ | |
"name": "mil_price", | |
"rawType": "float64", | |
"type": "float" | |
}, | |
{ | |
"name": "em_error", | |
"rawType": "float64", | |
"type": "float" | |
}, | |
{ | |
"name": "mil_error", | |
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"type": "float" | |
}, | |
{ | |
"name": "em_binary_price", | |
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"type": "float" | |
}, | |
{ | |
"name": "mil_binary_price", | |
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"type": "float" | |
}, | |
{ | |
"name": "em_binary_error", | |
"rawType": "float64", | |
"type": "float" | |
}, | |
{ | |
"name": "mil_binary_error", | |
"rawType": "float64", | |
"type": "float" | |
}, | |
{ | |
"name": "step_size", | |
"rawType": "float64", | |
"type": "float" | |
} | |
], | |
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"rows": [ | |
[ | |
"0", | |
"1", | |
"10.2238", | |
"10.0551", | |
"0.2268", | |
"0.3955", | |
"0.5667", | |
"0.533", | |
"0.0343", | |
"0.0007", | |
"1.0" | |
], | |
[ | |
"1", | |
"2", | |
"10.3198", | |
"10.2805", | |
"0.1308", | |
"0.1701", | |
"0.5476", | |
"0.5341", | |
"0.0152", | |
"0.0018", | |
"0.5" | |
], | |
[ | |
"2", | |
"5", | |
"10.3674", | |
"10.408", | |
"0.0832", | |
"0.0426", | |
"0.5397", | |
"0.5305", | |
"0.0074", | |
"0.0018", | |
"0.2" | |
], | |
[ | |
"3", | |
"10", | |
"10.4785", | |
"10.4006", | |
"0.0279", | |
"0.05", | |
"0.5357", | |
"0.5319", | |
"0.0033", | |
"0.0004", | |
"0.1" | |
], | |
[ | |
"4", | |
"20", | |
"10.4371", | |
"10.3465", | |
"0.0135", | |
"0.1041", | |
"0.536", | |
"0.5326", | |
"0.0037", | |
"0.0003", | |
"0.05" | |
], | |
[ | |
"5", | |
"50", | |
"10.4663", | |
"10.3512", | |
"0.0157", | |
"0.0994", | |
"0.5328", | |
"0.5315", | |
"0.0004", | |
"0.0009", | |
"0.02" | |
], | |
[ | |
"6", | |
"100", | |
"10.4423", | |
"10.3191", | |
"0.0083", | |
"0.1315", | |
"0.5292", | |
"0.53", | |
"0.0031", | |
"0.0023", | |
"0.01" | |
], | |
[ | |
"7", | |
"200", | |
"10.4571", | |
"10.4759", | |
"0.0065", | |
"0.0254", | |
"0.5315", | |
"0.5329", | |
"0.0008", | |
"0.0006", | |
"0.005" | |
], | |
[ | |
"8", | |
"500", | |
"10.3999", | |
"10.4849", | |
"0.0506", | |
"0.0343", | |
"0.533", | |
"0.5309", | |
"0.0006", | |
"0.0014", | |
"0.002" | |
], | |
[ | |
"9", | |
"1000", | |
"10.3957", | |
"10.5392", | |
"0.0549", | |
"0.0887", | |
"0.5305", | |
"0.5336", | |
"0.0018", | |
"0.0012", | |
"0.001" | |
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" }\n", | |
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" .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>num_steps</th>\n", | |
" <th>em_price</th>\n", | |
" <th>mil_price</th>\n", | |
" <th>em_error</th>\n", | |
" <th>mil_error</th>\n", | |
" <th>em_binary_price</th>\n", | |
" <th>mil_binary_price</th>\n", | |
" <th>em_binary_error</th>\n", | |
" <th>mil_binary_error</th>\n", | |
" <th>step_size</th>\n", | |
" </tr>\n", | |
" </thead>\n", | |
" <tbody>\n", | |
" <tr>\n", | |
" <th>0</th>\n", | |
" <td>1</td>\n", | |
" <td>10.2238</td>\n", | |
" <td>10.0551</td>\n", | |
" <td>0.2268</td>\n", | |
" <td>0.3955</td>\n", | |
" <td>0.5667</td>\n", | |
" <td>0.5330</td>\n", | |
" <td>0.0343</td>\n", | |
" <td>0.0007</td>\n", | |
" <td>1.000</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>1</th>\n", | |
" <td>2</td>\n", | |
" <td>10.3198</td>\n", | |
" <td>10.2805</td>\n", | |
" <td>0.1308</td>\n", | |
" <td>0.1701</td>\n", | |
" <td>0.5476</td>\n", | |
" <td>0.5341</td>\n", | |
" <td>0.0152</td>\n", | |
" <td>0.0018</td>\n", | |
" <td>0.500</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>2</th>\n", | |
" <td>5</td>\n", | |
" <td>10.3674</td>\n", | |
" <td>10.4080</td>\n", | |
" <td>0.0832</td>\n", | |
" <td>0.0426</td>\n", | |
" <td>0.5397</td>\n", | |
" <td>0.5305</td>\n", | |
" <td>0.0074</td>\n", | |
" <td>0.0018</td>\n", | |
" <td>0.200</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>3</th>\n", | |
" <td>10</td>\n", | |
" <td>10.4785</td>\n", | |
" <td>10.4006</td>\n", | |
" <td>0.0279</td>\n", | |
" <td>0.0500</td>\n", | |
" <td>0.5357</td>\n", | |
" <td>0.5319</td>\n", | |
" <td>0.0033</td>\n", | |
" <td>0.0004</td>\n", | |
" <td>0.100</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>4</th>\n", | |
" <td>20</td>\n", | |
" <td>10.4371</td>\n", | |
" <td>10.3465</td>\n", | |
" <td>0.0135</td>\n", | |
" <td>0.1041</td>\n", | |
" <td>0.5360</td>\n", | |
" <td>0.5326</td>\n", | |
" <td>0.0037</td>\n", | |
" <td>0.0003</td>\n", | |
" <td>0.050</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>5</th>\n", | |
" <td>50</td>\n", | |
" <td>10.4663</td>\n", | |
" <td>10.3512</td>\n", | |
" <td>0.0157</td>\n", | |
" <td>0.0994</td>\n", | |
" <td>0.5328</td>\n", | |
" <td>0.5315</td>\n", | |
" <td>0.0004</td>\n", | |
" <td>0.0009</td>\n", | |
" <td>0.020</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>6</th>\n", | |
" <td>100</td>\n", | |
" <td>10.4423</td>\n", | |
" <td>10.3191</td>\n", | |
" <td>0.0083</td>\n", | |
" <td>0.1315</td>\n", | |
" <td>0.5292</td>\n", | |
" <td>0.5300</td>\n", | |
" <td>0.0031</td>\n", | |
" <td>0.0023</td>\n", | |
" <td>0.010</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>7</th>\n", | |
" <td>200</td>\n", | |
" <td>10.4571</td>\n", | |
" <td>10.4759</td>\n", | |
" <td>0.0065</td>\n", | |
" <td>0.0254</td>\n", | |
" <td>0.5315</td>\n", | |
" <td>0.5329</td>\n", | |
" <td>0.0008</td>\n", | |
" <td>0.0006</td>\n", | |
" <td>0.005</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>8</th>\n", | |
" <td>500</td>\n", | |
" <td>10.3999</td>\n", | |
" <td>10.4849</td>\n", | |
" <td>0.0506</td>\n", | |
" <td>0.0343</td>\n", | |
" <td>0.5330</td>\n", | |
" <td>0.5309</td>\n", | |
" <td>0.0006</td>\n", | |
" <td>0.0014</td>\n", | |
" <td>0.002</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>9</th>\n", | |
" <td>1000</td>\n", | |
" <td>10.3957</td>\n", | |
" <td>10.5392</td>\n", | |
" <td>0.0549</td>\n", | |
" <td>0.0887</td>\n", | |
" <td>0.5305</td>\n", | |
" <td>0.5336</td>\n", | |
" <td>0.0018</td>\n", | |
" <td>0.0012</td>\n", | |
" <td>0.001</td>\n", | |
" </tr>\n", | |
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], | |
"text/plain": [ | |
" num_steps em_price mil_price em_error mil_error em_binary_price \\\n", | |
"0 1 10.2238 10.0551 0.2268 0.3955 0.5667 \n", | |
"1 2 10.3198 10.2805 0.1308 0.1701 0.5476 \n", | |
"2 5 10.3674 10.4080 0.0832 0.0426 0.5397 \n", | |
"3 10 10.4785 10.4006 0.0279 0.0500 0.5357 \n", | |
"4 20 10.4371 10.3465 0.0135 0.1041 0.5360 \n", | |
"5 50 10.4663 10.3512 0.0157 0.0994 0.5328 \n", | |
"6 100 10.4423 10.3191 0.0083 0.1315 0.5292 \n", | |
"7 200 10.4571 10.4759 0.0065 0.0254 0.5315 \n", | |
"8 500 10.3999 10.4849 0.0506 0.0343 0.5330 \n", | |
"9 1000 10.3957 10.5392 0.0549 0.0887 0.5305 \n", | |
"\n", | |
" mil_binary_price em_binary_error mil_binary_error step_size \n", | |
"0 0.5330 0.0343 0.0007 1.000 \n", | |
"1 0.5341 0.0152 0.0018 0.500 \n", | |
"2 0.5305 0.0074 0.0018 0.200 \n", | |
"3 0.5319 0.0033 0.0004 0.100 \n", | |
"4 0.5326 0.0037 0.0003 0.050 \n", | |
"5 0.5315 0.0004 0.0009 0.020 \n", | |
"6 0.5300 0.0031 0.0023 0.010 \n", | |
"7 0.5329 0.0008 0.0006 0.005 \n", | |
"8 0.5309 0.0006 0.0014 0.002 \n", | |
"9 0.5336 0.0018 0.0012 0.001 " | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"display(df_steps.round(4))" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "a5d4a4ae-259c-468b-a806-e07b647d56e8", | |
"metadata": {}, | |
"source": [ | |
"#### Observations\n", | |
"Discuss convergence of errors to Black-Scholes price here as time discretization gets smaller" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "f4a1e96a-8283-4db1-bfed-efa74aeb1318", | |
"metadata": {}, | |
"source": [ | |
"### Scenario Analysis Part Two: Varying Time to Maturity\n", | |
"We fix the number of time steps at 100 and vary $T$ from as little as half of a trading day (given the recent outgrowth in \"0DTE\" contract volumes in equity derivatives markets) to 2 years." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 14, | |
"id": "56b90fcf-70c4-4446-a632-e76bc2048523", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"# Vary time to maturity\n", | |
"T_list = [0.5/252, 1/12, 3/12, 6/12, 9/12, 1, 1.5, 2] # Half-a-day (0.50/252) to 2 years \n", | |
"num_steps = 100\n", | |
"results_T = []\n", | |
"\n", | |
"for T in T_list:\n", | |
" bsm_call_price_val = bsm_call_price(S0, K, T, sigma, r)\n", | |
" bsm_binary_price = bsm_binary_call_price(S0, K, T, sigma, r)\n", | |
" em_call_price = mc_price_em(S0, K, T, sigma, r, num_steps, num_paths, 'call')\n", | |
" mil_call_price = mc_price_milstein(S0, K, T, sigma, r, num_steps, num_paths, 'call')\n", | |
" em_binary_price = mc_price_em(S0, K, T, sigma, r, num_steps, num_paths, 'binary')\n", | |
" mil_binary_price = mc_price_milstein(S0, K, T, sigma, r, num_steps, num_paths, 'binary')\n", | |
" results_T.append({\n", | |
" 'T': T,\n", | |
" 'bsm_call_price': bsm_call_price_val,\n", | |
" 'em_call_price': em_call_price,\n", | |
" 'mil_call_price': mil_call_price,\n", | |
" 'em_call_error': abs(em_call_price - bsm_call_price_val),\n", | |
" 'mil_call_error': abs(mil_call_price - bsm_call_price_val),\n", | |
" 'bsm_binary_price': bsm_binary_price,\n", | |
" 'em_binary_price': em_binary_price,\n", | |
" 'mil_binary_price': mil_binary_price,\n", | |
" 'em_binary_error': abs(em_binary_price - bsm_binary_price),\n", | |
" 'mil_binary_error': abs(mil_binary_price - bsm_binary_price)\n", | |
" })\n", | |
"\n", | |
"df_T = pd.DataFrame(results_T)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 15, | |
"id": "b659cb18-6546-49b9-acde-1eb696ff2e71", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
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"1", | |
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"2", | |
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"3", | |
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"4", | |
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[ | |
"5", | |
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[ | |
"6", | |
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"0.1599", | |
"0.0271", | |
"0.5315", | |
"0.5295", | |
"0.5294", | |
"0.002", | |
"0.0021" | |
], | |
[ | |
"7", | |
"2.0", | |
"16.1268", | |
"16.0369", | |
"16.1053", | |
"0.0898", | |
"0.0215", | |
"0.5284", | |
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"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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" <thead>\n", | |
" <tr style=\"text-align: right;\">\n", | |
" <th></th>\n", | |
" <th>T</th>\n", | |
" <th>bsm_call_price</th>\n", | |
" <th>em_call_price</th>\n", | |
" <th>mil_call_price</th>\n", | |
" <th>em_call_error</th>\n", | |
" <th>mil_call_error</th>\n", | |
" <th>bsm_binary_price</th>\n", | |
" <th>em_binary_price</th>\n", | |
" <th>mil_binary_price</th>\n", | |
" <th>em_binary_error</th>\n", | |
" <th>mil_binary_error</th>\n", | |
" </tr>\n", | |
" </thead>\n", | |
" <tbody>\n", | |
" <tr>\n", | |
" <th>0</th>\n", | |
" <td>0.0020</td>\n", | |
" <td>0.3604</td>\n", | |
" <td>0.3623</td>\n", | |
" <td>0.3628</td>\n", | |
" <td>0.0019</td>\n", | |
" <td>0.0024</td>\n", | |
" <td>0.5026</td>\n", | |
" <td>0.5027</td>\n", | |
" <td>0.4991</td>\n", | |
" <td>0.0001</td>\n", | |
" <td>0.0035</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>1</th>\n", | |
" <td>0.0833</td>\n", | |
" <td>2.5121</td>\n", | |
" <td>2.5147</td>\n", | |
" <td>2.5102</td>\n", | |
" <td>0.0026</td>\n", | |
" <td>0.0019</td>\n", | |
" <td>0.5151</td>\n", | |
" <td>0.5142</td>\n", | |
" <td>0.5135</td>\n", | |
" <td>0.0009</td>\n", | |
" <td>0.0016</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>2</th>\n", | |
" <td>0.2500</td>\n", | |
" <td>4.6150</td>\n", | |
" <td>4.6383</td>\n", | |
" <td>4.6451</td>\n", | |
" <td>0.0233</td>\n", | |
" <td>0.0301</td>\n", | |
" <td>0.5233</td>\n", | |
" <td>0.5233</td>\n", | |
" <td>0.5222</td>\n", | |
" <td>0.0000</td>\n", | |
" <td>0.0011</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>3</th>\n", | |
" <td>0.5000</td>\n", | |
" <td>6.8887</td>\n", | |
" <td>6.8881</td>\n", | |
" <td>6.8552</td>\n", | |
" <td>0.0006</td>\n", | |
" <td>0.0335</td>\n", | |
" <td>0.5288</td>\n", | |
" <td>0.5309</td>\n", | |
" <td>0.5286</td>\n", | |
" <td>0.0021</td>\n", | |
" <td>0.0002</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>4</th>\n", | |
" <td>0.7500</td>\n", | |
" <td>8.7723</td>\n", | |
" <td>8.7630</td>\n", | |
" <td>8.7758</td>\n", | |
" <td>0.0093</td>\n", | |
" <td>0.0036</td>\n", | |
" <td>0.5314</td>\n", | |
" <td>0.5309</td>\n", | |
" <td>0.5305</td>\n", | |
" <td>0.0005</td>\n", | |
" <td>0.0009</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>5</th>\n", | |
" <td>1.0000</td>\n", | |
" <td>10.4506</td>\n", | |
" <td>10.4711</td>\n", | |
" <td>10.4770</td>\n", | |
" <td>0.0205</td>\n", | |
" <td>0.0264</td>\n", | |
" <td>0.5323</td>\n", | |
" <td>0.5318</td>\n", | |
" <td>0.5324</td>\n", | |
" <td>0.0005</td>\n", | |
" <td>0.0001</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>6</th>\n", | |
" <td>1.5000</td>\n", | |
" <td>13.4429</td>\n", | |
" <td>13.6028</td>\n", | |
" <td>13.4700</td>\n", | |
" <td>0.1599</td>\n", | |
" <td>0.0271</td>\n", | |
" <td>0.5315</td>\n", | |
" <td>0.5295</td>\n", | |
" <td>0.5294</td>\n", | |
" <td>0.0020</td>\n", | |
" <td>0.0021</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>7</th>\n", | |
" <td>2.0000</td>\n", | |
" <td>16.1268</td>\n", | |
" <td>16.0369</td>\n", | |
" <td>16.1053</td>\n", | |
" <td>0.0898</td>\n", | |
" <td>0.0215</td>\n", | |
" <td>0.5284</td>\n", | |
" <td>0.5290</td>\n", | |
" <td>0.5271</td>\n", | |
" <td>0.0006</td>\n", | |
" <td>0.0013</td>\n", | |
" </tr>\n", | |
" </tbody>\n", | |
"</table>\n", | |
"</div>" | |
], | |
"text/plain": [ | |
" T bsm_call_price em_call_price mil_call_price em_call_error \\\n", | |
"0 0.0020 0.3604 0.3623 0.3628 0.0019 \n", | |
"1 0.0833 2.5121 2.5147 2.5102 0.0026 \n", | |
"2 0.2500 4.6150 4.6383 4.6451 0.0233 \n", | |
"3 0.5000 6.8887 6.8881 6.8552 0.0006 \n", | |
"4 0.7500 8.7723 8.7630 8.7758 0.0093 \n", | |
"5 1.0000 10.4506 10.4711 10.4770 0.0205 \n", | |
"6 1.5000 13.4429 13.6028 13.4700 0.1599 \n", | |
"7 2.0000 16.1268 16.0369 16.1053 0.0898 \n", | |
"\n", | |
" mil_call_error bsm_binary_price em_binary_price mil_binary_price \\\n", | |
"0 0.0024 0.5026 0.5027 0.4991 \n", | |
"1 0.0019 0.5151 0.5142 0.5135 \n", | |
"2 0.0301 0.5233 0.5233 0.5222 \n", | |
"3 0.0335 0.5288 0.5309 0.5286 \n", | |
"4 0.0036 0.5314 0.5309 0.5305 \n", | |
"5 0.0264 0.5323 0.5318 0.5324 \n", | |
"6 0.0271 0.5315 0.5295 0.5294 \n", | |
"7 0.0215 0.5284 0.5290 0.5271 \n", | |
"\n", | |
" em_binary_error mil_binary_error \n", | |
"0 0.0001 0.0035 \n", | |
"1 0.0009 0.0016 \n", | |
"2 0.0000 0.0011 \n", | |
"3 0.0021 0.0002 \n", | |
"4 0.0005 0.0009 \n", | |
"5 0.0005 0.0001 \n", | |
"6 0.0020 0.0021 \n", | |
"7 0.0006 0.0013 " | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# Display table\n", | |
"display(df_T.round(4))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 16, | |
"id": "eb6f6be9-9ffe-4dfe-a307-deec872dde3c", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
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", | |
"text/plain": [ | |
"<Figure size 1600x1000 with 2 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"import matplotlib.pyplot as plt\n", | |
"# Plot errors\n", | |
"fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(16, 10))\n", | |
"ax1.plot(df_T['T'], df_T['em_call_error'], label='Euler Error', color='magenta')\n", | |
"ax1.plot(df_T['T'], df_T['mil_call_error'], label='Milstein Error', color='cyan')\n", | |
"ax1.set_xlabel('Time to Maturity (years)')\n", | |
"ax1.set_ylabel('Absolute Error')\n", | |
"ax1.set_title('Call Option Error vs. Time to Maturity')\n", | |
"ax1.legend()\n", | |
"\n", | |
"ax2.plot(df_T['T'], df_T['em_binary_error'], label='Euler Binary Error', color='magenta')\n", | |
"ax2.plot(df_T['T'], df_T['mil_binary_error'], label='Milstein Binary Error', color='cyan')\n", | |
"ax2.set_xlabel('Time to Maturity (half-day to two years')\n", | |
"ax2.set_ylabel('Absolute Error')\n", | |
"ax2.set_title('Binary Call Option Error vs. Time to Maturity')\n", | |
"ax2.legend()\n", | |
"plt.tight_layout()\n", | |
"plt.show()\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "4f87af81-e993-4b90-a693-89ed787fd539", | |
"metadata": {}, | |
"source": [ | |
"#### Observations\n", | |
"Since we have viewed errors under each numerical approximation scheme relative to the size of the time discretization and across varying time-to-expiries (from as small as half a trading day remaining to contract expiry to as long as two years), we now turn to statistical error inherent to Monte Carlo methods.\n", | |
"\n", | |
"Note that when we use simulation-based methods to approximate derivatives pricing, we simulate the underlying stock and compute an average across all simulated paths of the underlying, which represents the expected value of the payoff at time t = T (contract expiry). We then discount this back to a present value at the constant risk-free interest rate. In other words, we assume the underlyig asset evolves according to the \"risk-neutral\" random walk. The assumption of risk-neutrality is questionable: an investor is **\"risk neutral\"** if he/she is indifferent between a sure amount of money and a risky investment with an expected (discounted) payoff of an equal amount. Arguably, rational thinking humans would prefer a certain cash payment today to an uncertain one of equal value in the future. " | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "efe3d19b-1999-4f94-be66-9df2817c849c", | |
"metadata": {}, | |
"source": [ | |
"## Monte Carlo simulation error" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "889cda38-ef93-48a2-ac43-341e1bb1969d", | |
"metadata": {}, | |
"source": [ | |
"We often use Monte Carlo to simulate fluctuations in the underlying which can then be used to directly model the expected value of future cash flows **because no analytical solution exists.** With access to to get downright creative in developing new contract specifications, ranging from contracts tied to several different underlying assets (increasing dimensionality of the pricing problem) to derivatives whose payoffs vary as a function of time and whose values acrrue during the contract term. Foreign-exchange derivatives dominate relative to equity, rates, and commodity derivatives markets based on notional volumes, and these tend to have no value at open (designed to hedge against unwanted FX fluctuations, these contracts would typically be based on the prevailing spot exchange rates at open). Even still, equity derivatives, at least those traded on the major U.S. exchanges tied to U.S. equities, are American-style options, which confer the option-holder the right to exercise at the strike **at any time prior to contract expiry**, thus valuing these contracts requires consideration not just of the underlying's value at some arbitrary future date but also the arbitrary path which got it there. Monte Carlo methods simulate the price of the underlying asset directly in order to value contracts who derive their value accordingly and are therefore particularly well-suited to the task. Monte Carlo methods are robust to time-dependence and can be modeled fairly precisely to fit a wide range of contract specifications. \n", | |
"\n", | |
"Still, decades of evidence attest to humans' inability to accurately predict the future prices of financial instruments---whether based on geometric brownian motion (\"GBM\") or a \"risk-neutral random walk,\" as a species we have proven categorically terrible at predicting the evolution of prices in the financial markets. Unlike physical phenomena, such as electrical signals or wavelengths and such, financial markets are characterized by chaos and complexity unlike most of the sciences." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 17, | |
"id": "e8f8e438-5789-429b-8e28-69d938c8f44f", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"# Compute prices\n", | |
"euler_price = mc_price_em(S0, K, T, r, sigma, N, M)\n", | |
"milstein_price = mc_price_milstein(S0, K, T, r, sigma, N, M)\n", | |
"bs_price = bsm_call_price(S0, K, T, r, sigma)\n", | |
"\n", | |
"e_euler = abs(euler_price - bs_price)\n", | |
"e_milstein = abs(milstein_price - bs_price)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 18, | |
"id": "17dd646a-cc8e-4ad9-b4f3-be55746d0b3a", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"# Sensitivity analysis for Greeks visualization\n", | |
"S_range = np.linspace(30, 170, 100)\n", | |
"delta_vals = []\n", | |
"gamma_vals = []\n", | |
"vega_vals = []\n", | |
"\n", | |
"epsilon = 0.1\n", | |
"for S in S_range:\n", | |
" price_plus = bsm_call_price(S + epsilon, K, T, r, sigma)\n", | |
" price_minus = bsm_call_price(S - epsilon, K, T, r, sigma)\n", | |
" price = bsm_call_price(S, K, T, r, sigma)\n", | |
" \n", | |
" delta = (price_plus - price_minus) / (2 * epsilon)\n", | |
" gamma = (price_plus - 2 * price + price_minus) / (epsilon ** 2)\n", | |
" vega = (bsm_call_price(S, K, T, r, sigma + epsilon) -\n", | |
" bsm_call_price(S, K, T, r, sigma - epsilon)) / (2 * epsilon)\n", | |
" \n", | |
" delta_vals.append(delta)\n", | |
" gamma_vals.append(gamma)\n", | |
" vega_vals.append(vega)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 19, | |
"id": "87e20c3e-e2dd-48bc-8432-2542d352ab0b", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
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", | |
"text/plain": [ | |
"<Figure size 1000x1200 with 3 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# Visualization\n", | |
"fig, axs = plt.subplots(3, 1, figsize=(10, 12))\n", | |
"\n", | |
"axs[0].plot(S_range, delta_vals, label='Delta')\n", | |
"axs[0].set_title('Delta of European Call Option')\n", | |
"axs[0].set_xlabel('Stock Price')\n", | |
"axs[0].set_ylabel('Delta')\n", | |
"axs[0].grid(True)\n", | |
"\n", | |
"axs[1].plot(S_range, gamma_vals, label='Gamma', color='magenta')\n", | |
"axs[1].set_title('Gamma of European Call Option')\n", | |
"axs[1].set_xlabel('Stock Price')\n", | |
"axs[1].set_ylabel('Gamma')\n", | |
"axs[1].grid(True)\n", | |
"\n", | |
"axs[2].plot(S_range, vega_vals, label='Vega', color='green')\n", | |
"axs[2].set_title('Vega of European Call Option')\n", | |
"axs[2].set_xlabel('Stock Price')\n", | |
"axs[2].set_ylabel('Vega')\n", | |
"axs[2].grid(True)\n", | |
"\n", | |
"plt.tight_layout()\n", | |
"plt.show()\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"id": "9eab2ebb-7b22-4426-8e0c-fbb716ebe815", | |
"metadata": {}, | |
"outputs": [], | |
"source": [] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"id": "a1b3a6d1-6e5a-4cf8-bd04-17d258f36dc9", | |
"metadata": {}, | |
"outputs": [], | |
"source": [] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"id": "77a19e1d-640e-42b5-b38e-0398d69d1ae0", | |
"metadata": {}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "base", | |
"language": "python", | |
"name": "python3" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.12.2" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 5 | |
} |
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