{ "metadata": { "name": "", "signature": "sha256:71f7ca75a56fc9f5581dec973f6780669c121890a809f9bd5c590fdbb376dad2" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Stochasic Processes in Python" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "by Stuart Reid (www.stuartreid.co.za)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For more information about these stochastic and their applications in Quantitative Finance please check out my blog post, Random Walks Down Wall Street, Stochastic Processes in Python. This notebook contains the code presented in the article for four stochastic processes often used to model the evolution of asset prices and two mean-reverting stochastic processes often used to model the evolution of interest rates. Thes models include Brownian Motion (a Wiener Process), Geometric Brownian Motion, the Merton Jump Diffusion Model, the Heston Stochastic Volatility Model, the Cox Ingersoll Ross (CIR) process, and the Ornstein Uhlenbeck Model.\n", "\n", "A random event is any event which has a chance of happening. Probability is the measure of that chance. Random variables are functions which receive a random event and return a real number. Random variables may be discrete or continuous; discrete random variables are ones with a countable number of possible outcomes; continuous random variables are ones which have an infinite number of possible outcomes. In the context of finance, a stochastic process is a collection of random variables which describe the evolution of a system over some period of time.\n", "\n", "The beauty of random variables and stochastic processes is that they can be used to describe what is happening in the world around us. Often this is done by simulating multiple outcomes from a stochastic process in a Monte Carlo simulation. Example applications include the simulation of gambling games (Poker and Blackjack for sure), fluid and particle dynamics (which is often used in computer graphics for animations), in genetics to determine the likelihood of phylogenetic trees (how species relate), and even the evolution of stock prices and interest rates over time." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Initial Setup" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The initial setup involves importing some very helpful Python packages which we can use to generate and analyze random numbers, creating a model parameters class for encapsulating the parameter values for the stochastic processes, and some useful helper methods for working with log returns or normal returns" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import math\n", "import numpy\n", "import random\n", "import decimal\n", "import scipy.linalg\n", "import numpy.random as nrand\n", "import matplotlib.pyplot as plt" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "heading", "level": 5, "metadata": {}, "source": [ "The model parameters class" ] }, { "cell_type": "code", "collapsed": false, "input": [ "class ModelParameters:\n", " \"\"\"\n", " Encapsulates model parameters\n", " \"\"\"\n", "\n", " def __init__(self,\n", " all_s0, all_time, all_delta, all_sigma, gbm_mu,\n", " jumps_lamda=0.0, jumps_sigma=0.0, jumps_mu=0.0,\n", " cir_a=0.0, cir_mu=0.0, all_r0=0.0, cir_rho=0.0,\n", " ou_a=0.0, ou_mu=0.0,\n", " heston_a=0.0, heston_mu=0.0, heston_vol0=0.0):\n", " # This is the starting asset value\n", " self.all_s0 = all_s0\n", " # This is the amount of time to simulate for\n", " self.all_time = all_time\n", " # This is the delta, the rate of time e.g. 1/252 = daily, 1/12 = monthly\n", " self.all_delta = all_delta\n", " # This is the volatility of the stochastic processes\n", " self.all_sigma = all_sigma\n", " # This is the annual drift factor for geometric brownian motion\n", " self.gbm_mu = gbm_mu\n", " # This is the probability of a jump happening at each point in time\n", " self.lamda = jumps_lamda\n", " # This is the volatility of the jump size\n", " self.jumps_sigma = jumps_sigma\n", " # This is the average jump size\n", " self.jumps_mu = jumps_mu\n", " # This is the rate of mean reversion for Cox Ingersoll Ross\n", " self.cir_a = cir_a\n", " # This is the long run average interest rate for Cox Ingersoll Ross\n", " self.cir_mu = cir_mu\n", " # This is the starting interest rate value\n", " self.all_r0 = all_r0\n", " # This is the correlation between the wiener processes of the Heston model\n", " self.cir_rho = cir_rho\n", " # This is the rate of mean reversion for Ornstein Uhlenbeck\n", " self.ou_a = ou_a\n", " # This is the long run average interest rate for Ornstein Uhlenbeck\n", " self.ou_mu = ou_mu\n", " # This is the rate of mean reversion for volatility in the Heston model\n", " self.heston_a = heston_a\n", " # This is the long run average volatility for the Heston model\n", " self.heston_mu = heston_mu\n", " # This is the starting volatility value for the Heston model\n", " self.heston_vol0 = heston_vol0\n" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "heading", "level": 5, "metadata": {}, "source": [ "Example Usage" ] }, { "cell_type": "code", "collapsed": false, "input": [ "mp = ModelParameters(all_s0=1000,\n", " all_r0=0.5,\n", " all_time=800,\n", " all_delta=0.00396825396,\n", " all_sigma=0.125,\n", " gbm_mu=0.058,\n", " jumps_lamda=0.00125,\n", " jumps_sigma=0.001,\n", " jumps_mu=-0.2,\n", " cir_a=3.0,\n", " cir_mu=0.5,\n", " cir_rho=0.5,\n", " ou_a=3.0,\n", " ou_mu=0.5,\n", " heston_a=0.25,\n", " heston_mu=0.35,\n", " heston_vol0=0.06125)\n", "\n", "paths = 15" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "heading", "level": 5, "metadata": {}, "source": [ "A plotting helper class" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def plot_stochastic_processes(processes, title):\n", " \"\"\"\n", " This method plots a list of stochastic processes with a specified title\n", " :return: plots the graph of the two\n", " \"\"\"\n", " plt.style.use(['bmh'])\n", " fig, ax = plt.subplots(1)\n", " fig.suptitle(title, fontsize=16)\n", " ax.set_xlabel('Time, t')\n", " ax.set_ylabel('Simulated Asset Price')\n", " x_axis = numpy.arange(0, len(processes[0]), 1)\n", " for i in range(len(processes)):\n", " plt.plot(x_axis, processes[i])\n", " plt.show()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "heading", "level": 5, "metadata": {}, "source": [ "Two helper classes for working with returns" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def convert_to_returns(log_returns):\n", " \"\"\"\n", " This method exponentiates a sequence of log returns to get daily returns.\n", " :param log_returns: the log returns to exponentiated\n", " :return: the exponentiated returns\n", " \"\"\"\n", " return numpy.exp(log_returns)\n", "\n", "\n", "def convert_to_prices(param, log_returns):\n", " \"\"\"\n", " This method converts a sequence of log returns into normal returns (exponentiation) and then computes a price\n", " sequence given a starting price, param.all_s0.\n", " :param param: the model parameters object\n", " :param log_returns: the log returns to exponentiated\n", " :return:\n", " \"\"\"\n", " returns = convert_to_returns(log_returns)\n", " # A sequence of prices starting with param.all_s0\n", " price_sequence = [param.all_s0]\n", " for i in range(1, len(returns)):\n", " # Add the price at t-1 * return at t\n", " price_sequence.append(price_sequence[i - 1] * returns[i - 1])\n", " return numpy.array(price_sequence)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Brownian Motion" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Brownian motion is the random motion exhibited by particles which have been suspended in a gas or liquid. This random motion is caused by the collision of the particles with the atoms or molecules in the liquid or gas. Brownian Motion is named after the Botanist Robert Brown who observed the random movements in 1827. The relationship between Brownian Motion and financial markets dates back to a paper written many years later, in 1900, by Louis Bachelier entitled The Theory of Speculation. His paper was the first to propose the use of Brownian Motion to evaluate stock options. The paper did not surface until later works in deriving the famous Black Scholes options pricing formula developed by Fisher Black and Myron Scholes in 1973. In the context of stochastic processes used in finance, Brownian Motion is often described as a Wiener process, denoted by $W_t$. A Wiener process is described by the following properties,\n", "\n", "
\n", "
• $W_0 = 0$\n", "
• The function $t - W_t$ is almost surely everywhere continuous\n", "
• $W_t$ has independent normally distributed increments i.e. $W_t - W_s = N(0, t-s)$\n", "
" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def brownian_motion_log_returns(param):\n", " \"\"\"\n", " This method returns a Wiener process. The Wiener process is also called Brownian motion. For more information\n", " about the Wiener process check out the Wikipedia page: http://en.wikipedia.org/wiki/Wiener_process\n", " :param param: the model parameters object\n", " :return: brownian motion log returns\n", " \"\"\"\n", " sqrt_delta_sigma = math.sqrt(param.all_delta) * param.all_sigma\n", " return nrand.normal(loc=0, scale=sqrt_delta_sigma, size=param.all_time)\n", "\n", "def brownian_motion_levels(param):\n", " \"\"\"\n", " Returns a price sequence whose returns evolve according to a brownian motion\n", " :param param: model parameters object\n", " :return: returns a price sequence which follows a brownian motion\n", " \"\"\"\n", " return convert_to_prices(param, brownian_motion_log_returns(param))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "heading", "level": 5, "metadata": {}, "source": [ "Example usage" ] }, { "cell_type": "code", "collapsed": false, "input": [ "brownian_motion_examples = []\n", "for i in range(paths):\n", " brownian_motion_examples.append(brownian_motion_levels(mp))\n", "plot_stochastic_processes(brownian_motion_examples, \"Brownian Motion\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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S+d4dsDfcak+Cgw0uJW0MQXrMJguJyQ7lEx4eTFRsKNUVDWTtyg9oCZzqynqP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\n/gUPo8XNzpC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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Geometric Brownian Motion" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Geometric Brownian Motion (GBM) was popularized by Fisher Black and Myron Scholes when they used it in their 1973 paper, The Pricing of Options and Corporate Liabilities, to derive the Black Scholes equation. Geometric Brownian Motion is essentially Brownian Motion with a drift component and volatility component. The stochastic differential equation which describes the evolution of a Geometric Brownian Motion stochastic process is,\n", "\n", "$$dS_t = \\mu S_t dt + \\sigma d S_t W_t$$\n", "\n", "where $dS_t$ is the change in the asset price, $S$, at time $t$; $\\mu$ is the percentage drift expected per annum, $dt$, represents time (1/252 is used for daily changes), $\\sigma$ is the daily volatility expected in the asset prices, and $W_t$ is a Wiener process a.k.a Brownian Motion." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def geometric_brownian_motion_log_returns(param):\n", " \"\"\"\n", " This method constructs a sequence of log returns which, when exponentiated, produce a random Geometric Brownian\n", " Motion (GBM). GBM is the stochastic process underlying the Black Scholes options pricing formula.\n", " :param param: model parameters object\n", " :return: returns the log returns of a geometric brownian motion process\n", " \"\"\"\n", " assert isinstance(param, ModelParameters)\n", " wiener_process = numpy.array(brownian_motion_log_returns(param))\n", " sigma_pow_mu_delta = (param.gbm_mu - 0.5 * math.pow(param.all_sigma, 2.0)) * param.all_delta\n", " return wiener_process + sigma_pow_mu_delta\n", "\n", "def geometric_brownian_motion_levels(param):\n", " \"\"\"\n", " Returns a sequence of price levels for an asset which evolves according to a geometric brownian motion\n", " :param param: model parameters object\n", " :return: the price levels for the asset\n", " \"\"\"\n", " return convert_to_prices(param, geometric_brownian_motion_log_returns(param))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 10 }, { "cell_type": "heading", "level": 5, "metadata": {}, "source": [ "Example usage" ] }, { "cell_type": "code", "collapsed": false, "input": [ "geometric_brownian_motion_examples = []\n", "for i in range(paths):\n", " geometric_brownian_motion_examples.append(geometric_brownian_motion_levels(mp))\n", "plot_stochastic_processes(geometric_brownian_motion_examples, \"Geometric Brownian Motion\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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4/cdHuPrVfjw1fXy5/Gf3HlvhM1WVqnznOzPzndeJhwurVM+G1Fzn9ar9ORWm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\nOPl6EXnfjejc3ZpkbPf2kUTeM5GMTxsuFHcmqEteKiotCCklR39ehtVoI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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "The Merton Jump Diffusion Model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Robert C. Merton was one of the first academics to address some of the limitations in the Geometric Brownian Stochastic Process presented by Fisher Black and Myron Scholes. In 1997 Merton and Scholes won a Nobel Price in Economics for their work; Black had unfortunately passed away at that point in time. One of the stochastic processes proposed by Merton addressed the impossibility of a discontinuity occurring in the continuous Geometric Brownian Motion model.\n", "\n", "Merton extended the original Geometric Brownian Motion process with a Jump Diffusion process in his 1976 paper, Option pricing when underlying stock returns are discontinuous. For an in-depth discussion on the mathematics underlying Jump Diffusion processes please see, an Introduction to Diffusion and Jump Diffusion Processes but in summary the stochastic process adds a jump process such as a compound Poisson process to an underlying diffusion process such as Geometric Brownian Motion. In the code below the jump component is called jump_sizes,\n", "\n", "$$dS_t = \\mu S_t dt + \\sigma S_t d W_t + dJ_t$$\n", "$$dJ_t = S_t d(\\sum^{N_t}_{i=0}(Y_i-1))$$\n", "\n", "where $N_t$ is the Poisson process with rate $\\lambda$ and $Y_i$ is a random variable which follows a log-normal distribution." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def jump_diffusion_process(param):\n", " \"\"\"\n", " This method produces a sequence of Jump Sizes which represent a jump diffusion process. These jumps are combined\n", " with a geometric brownian motion (log returns) to produce the Merton model.\n", " :param param: the model parameters object\n", " :return: jump sizes for each point in time (mostly zeroes if jumps are infrequent)\n", " \"\"\"\n", " assert isinstance(param, ModelParameters)\n", " s_n = time = 0\n", " small_lamda = -(1.0 / param.lamda)\n", " jump_sizes = []\n", " for k in range(0, param.all_time):\n", " jump_sizes.append(0.0)\n", " while s_n < param.all_time:\n", " s_n += small_lamda * math.log(random.uniform(0, 1))\n", " for j in range(0, param.all_time):\n", " if time * param.all_delta <= s_n * param.all_delta <= (j + 1) * param.all_delta:\n", " # print(\"was true\")\n", " jump_sizes[j] += random.normalvariate(param.jumps_mu, param.jumps_sigma)\n", " break\n", " time += 1\n", " return jump_sizes\n", "\n", "def geometric_brownian_motion_jump_diffusion_log_returns(param):\n", " \"\"\"\n", " This method constructs combines a geometric brownian motion process (log returns) with a jump diffusion process\n", " (log returns) to produce a sequence of gbm jump returns.\n", " :param param: model parameters object\n", " :return: returns a GBM process with jumps in it\n", " \"\"\"\n", " assert isinstance(param, ModelParameters)\n", " jump_diffusion = jump_diffusion_process(param)\n", " geometric_brownian_motion = geometric_brownian_motion_log_returns(param)\n", " return numpy.add(jump_diffusion, geometric_brownian_motion)\n", "\n", "\n", "def geometric_brownian_motion_jump_diffusion_levels(param):\n", " \"\"\"\n", " This method converts a sequence of gbm jmp returns into a price sequence which evolves according to a geometric\n", " brownian motion but can contain jumps at any point in time.\n", " :param param: model parameters object\n", " :return: the price levels\n", " \"\"\"\n", " return convert_to_prices(param, geometric_brownian_motion_jump_diffusion_log_returns(param))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 12 }, { "cell_type": "heading", "level": 5, "metadata": {}, "source": [ "Example usage" ] }, { "cell_type": "code", "collapsed": false, "input": [ "jump_diffusion_examples = []\n", "for i in range(paths):\n", " jump_diffusion_examples.append(geometric_brownian_motion_jump_diffusion_levels(mp))\n", "plot_stochastic_processes(jump_diffusion_examples, \"Jump Diffusion Geometric Brownian Motion (Merton)\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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uI/SHYHrnwUCwyBlMHNdKzOTEZHNBlsvEYqjfUlKBZGhCMlekDLGHyy3VXLr8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iQ19rgKd0uSlCUIwh8AJEl6rue4b4E/Itcv2y1J0sCe7dcA0yRJuvO719q5c6f0/I7b6G+5GaNb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\nPML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"text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "The Heston Stochastic Volatility Model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The original Geometric Brownian Motion stochastic process assumes that volatility over time is constant. In the early 1990's Steven Heston relaxed this assumption and extended the Geometric Brownian Motion model to include stochastic volatility. The resulting model is called the Heston model. In the Heston model volatility over time evolves over time according to the Cox Ingersoll Ross stochastic process. As such the model makes use to two Wiener processes, one for the Cox Ingersoll Ross process and another for the Geometric Brownian Motion process which uses the Cox Ingersoll Ross process as volatility. These two Wiener processes are correlated and can be constructed using a Cholesky Decomposition. The stochastic differential equation for the Heston model is given as,\n", "\n", "$$dS_t = \\mu S_t dt + \\sqrt{v_t}S_t d W^S_t$$\n", "$$dv_t = a(b-v_t)dt + \\sigma\\sqrt{v_t} d W^v_t$$\n", "\n", "where $\\mu$ is the drift of the asset, $S^S$ and $W^v$ are two correlated Wiener processes where the correlation is given by $\\rho$, $a$ is the rate of mean-reversion of the Cox Ingersoll Ross process, $b$ is the mean value over time (in this case the mean volatility over time), and $\\sigma$ is the volatility of the Cox Ingersoll Ross process. \n", "\n", "The term, $a(b\u2212vt)$ is also called the drift factor." ] }, { "cell_type": "heading", "level": 5, "metadata": {}, "source": [ "Correlated Wiener Processes" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def heston_construct_correlated_path(param, brownian_motion_one):\n", " \"\"\"\n", " This method is a simplified version of the Cholesky decomposition method for just two assets. It does not make use\n", " of matrix algebra and is therefore quite easy to implement.\n", " :param param: model parameters object\n", " :return: a correlated brownian motion path\n", " \"\"\"\n", " # We do not multiply by sigma here, we do that in the Heston model\n", " sqrt_delta = math.sqrt(param.all_delta)\n", " # Construct a path correlated to the first path\n", " brownian_motion_two = []\n", " for i in range(param.all_time - 1):\n", " term_one = param.cir_rho * brownian_motion_one[i]\n", " term_two = math.sqrt(1 - math.pow(param.cir_rho, 2.0)) * random.normalvariate(0, sqrt_delta)\n", " brownian_motion_two.append(term_one + term_two)\n", " return numpy.array(brownian_motion_one), numpy.array(brownian_motion_two)\n", "\n", "def get_correlated_geometric_brownian_motions(param, correlation_matrix, n):\n", " \"\"\"\n", " This method can construct a basket of correlated asset paths using the Cholesky decomposition method\n", " :param param: model parameters object\n", " :param correlation_matrix: nxn correlation matrix\n", " :param n: the number of assets i.e. the number of paths to return\n", " :return: n correlated log return geometric brownian motion processes\n", " \"\"\"\n", " assert isinstance(param, ModelParameters)\n", " decomposition = scipy.linalg.cholesky(correlation_matrix, lower=False)\n", " uncorrelated_paths = []\n", " sqrt_delta_sigma = math.sqrt(param.all_delta) * param.all_sigma\n", " # Construct uncorrelated paths to convert into correlated paths\n", " for i in range(param.all_time):\n", " uncorrelated_random_numbers = []\n", " for j in range(n):\n", " uncorrelated_random_numbers.append(random.normalvariate(0, sqrt_delta_sigma))\n", " uncorrelated_paths.append(numpy.array(uncorrelated_random_numbers))\n", " uncorrelated_matrix = numpy.matrix(uncorrelated_paths)\n", " correlated_matrix = uncorrelated_matrix * decomposition\n", " assert isinstance(correlated_matrix, numpy.matrix)\n", " # The rest of this method just extracts paths from the matrix\n", " extracted_paths = []\n", " for i in range(1, n + 1):\n", " extracted_paths.append([])\n", " for j in range(0, len(correlated_matrix)*n - n, n):\n", " for i in range(n):\n", " extracted_paths[i].append(correlated_matrix.item(j + i))\n", " return extracted_paths" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following code is used to construct the volatility path" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def cox_ingersoll_ross_heston(param):\n", " \"\"\"\n", " This method returns the rate levels of a mean-reverting cox ingersoll ross process. It is used to model interest\n", " rates as well as stochastic volatility in the Heston model. Because the returns between the underlying and the\n", " stochastic volatility should be correlated we pass a correlated Brownian motion process into the method from which\n", " the interest rate levels are constructed. The other correlated process is used in the Heston model\n", " :param param: the model parameters objects\n", " :return: the interest rate levels for the CIR process\n", " \"\"\"\n", " # We don't multiply by sigma here because we do that in heston\n", " sqrt_delta_sigma = math.sqrt(param.all_delta) * param.all_sigma\n", " brownian_motion_volatility = nrand.normal(loc=0, scale=sqrt_delta_sigma, size=param.all_time)\n", " a, mu, zero = param.heston_a, param.heston_mu, param.heston_vol0\n", " volatilities = [zero]\n", " for i in range(1, param.all_time):\n", " drift = a * (mu - volatilities[i-1]) * param.all_delta\n", " randomness = math.sqrt(max(volatilities[i - 1], 0.05)) * brownian_motion_volatility[i - 1]\n", " volatilities.append(max(volatilities[i - 1], 0.05) + drift + randomness)\n", " return numpy.array(brownian_motion_volatility), numpy.array(volatilities)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following code is used to construct the asset price levels" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def heston_model_levels(param):\n", " \"\"\"\n", " NOTE - this method is dodgy! Need to debug!\n", " The Heston model is the geometric brownian motion model with stochastic volatility. This stochastic volatility is\n", " given by the cox ingersoll ross process. Step one on this method is to construct two correlated GBM processes. One\n", " is used for the underlying asset prices and the other is used for the stochastic volatility levels\n", " :param param: model parameters object\n", " :return: the prices for an underlying following a Heston process\n", " \"\"\"\n", " assert isinstance(param, ModelParameters)\n", " # Get two correlated brownian motion sequences for the volatility parameter and the underlying asset\n", " # brownian_motion_market, brownian_motion_vol = get_correlated_paths_simple(param)\n", " brownian, cir_process = cox_ingersoll_ross_heston(param)\n", " brownian, brownian_motion_market = heston_construct_correlated_path(param, brownian)\n", "\n", " heston_market_price_levels = [param.all_s0]\n", " for i in range(1, param.all_time):\n", " drift = param.gbm_mu * heston_market_price_levels[i - 1] * param.all_delta\n", " vol = cir_process[i - 1] * heston_market_price_levels[i - 1] * brownian_motion_market[i - 1]\n", " heston_market_price_levels.append(heston_market_price_levels[i - 1] + drift + vol)\n", " return numpy.array(heston_market_price_levels), numpy.array(cir_process)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 16 }, { "cell_type": "heading", "level": 5, "metadata": {}, "source": [ "Example usage - price levels" ] }, { "cell_type": "code", "collapsed": false, "input": [ "stochastic_volatility_examples = []\n", "for i in range(paths):\n", " stochastic_volatility_examples.append(heston_model_levels(mp)[0])\n", "plot_stochastic_processes(stochastic_volatility_examples, \"Stochastic Volatility Geometric Brownian Motion (Heston)\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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ml2TPyYaGVEP4svPxhXZLqmmsGFtC3DlZO1zsy+0ZlVdTBCp2sP2uE6j85IlI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"text": [ "" ] } ], "prompt_number": 17 }, { "cell_type": "heading", "level": 5, "metadata": {}, "source": [ "Example usage - volatility levels" ] }, { "cell_type": "code", "collapsed": false, "input": [ "stochastic_volatility_examples = []\n", "for i in range(paths):\n", " stochastic_volatility_examples.append(heston_model_levels(mp)[1])\n", "plot_stochastic_processes(stochastic_volatility_examples, \"Stochastic Volatility Geometric Brownian Motion (Heston)\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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EpQDw0Nt3MWfdO4DuyXqV88T0tvZHi4rbWcsqNktkSQ1xPhnlPD0waFAydYOG\nAJDlbEHkqLV38tGblOwgIM92nG+FBSAi3xaRbcCn6N5s2GnNnGzkMHJGFiNnZOmJcla4oMmmUJ9+\n8ynu/s+lLNi5yhfmiBsAQElVgS8sNSGD4katZKf0cXDtiMBmv301qOMpGQji75K+tKuV53a0opSi\nNfrOgBSVZ53C8vv+CkBK61G+M4BFb1onG5a5nFLqI+AjEZkOPARc0EkSHwsWLGD16tUMHaon/VNT\nU5k4caJvaMn7Ynbn8aZNm3qUPEf6sSlPU5495fiL+YsoyfHQb5I2Jdm2t5GYZhdvrV1A/MgTKdm4\nBI+riDg0FbmNAIwbdCLvbFKUbFxCXp2Db543nbezPZRsXALA5FOOQxofZNGKwRB1uv/6S7aAp5Iz\nzvmtT54mt2J5tHa3+PXCxeyrV9x+tr7eoqWV7GvcQUnBEko2LWXT1tWsOyaLqVOnct5553G00mvW\nyYrIqcAMpdTF1vFvAY9S6q8dpNkDnASMDSetWSdrMBi6i3n73byd7eHYNCGnTlHfCg27HyFu6A9w\nxGQAoNxNVC8725fmpDFn850L/86fN7SSEg0PT43CKcK2Kg/z9nvYWKm4pN8srhj4JgCehPd8aaXp\n14hnD57Yh8GpNxLIrvXw1026O/2riU72N8D28oV8o//HDIrPY1/DMB7a+QgAUx97kNvf+SPr1q83\n62R7CauBMSIyXERigGuBWfYIIjJKrEkCEZkMxCilKsJJazAYDN3F3EKtYAFOyHBwVj+9eXrswOtw\nxGTgadqPcjcgzji+Pe3nvnT2+dgxKYLTmiM9Js3Bj46JItYBLk+M/0Kq2vbb8hZlm48t9O92x6Ob\n3Ly6x82qqjN4MvuXAKQ6KrkhvZbTHryXQYvnUvLFooiVwZFKr1GySqlW4G5gNrAVeFsptU1E7hQR\n78TBVcAmEVmHtia+tqO0wdcwc7KRw8gZWYyckaW75axvVfwvz01di6K6WfGuZQEc7YDjM4So1nJK\nNi7BmTAcgObSObgbcgFITB3ryyc5Po0Saz62X3zbzmRyNCRF1foDPNaOPaoVVCUKB0iG7/TOmtBG\nUqfk5qLcipTYGs4cn8xJJwxBgLxXPzrQIug19BolC6CU+lwpNU4pNVop9bAV9qxS6lnr96NKqeOU\nUicqpU5XSi3tKK3BYDB0B+9ku/kkz8NT29xsrvRP6f1mYhQpMUJrU35A/JbKpWTEaAUYk+B3FOGK\nG+1bvtNyyGSgAAAgAElEQVQ/LpSSFVKi7L3XEut/BYICSQfxm+7khlgKdFKmMGrPVpqK3XqVjypn\n+A9vAKBs3oqu3XgvpFcp2UONWScbOYyckcXIGVm6W85d1VqZZdcpn5K8eriDQYlaUTbX7qHvBN0e\nTUmt4vlb/80pI44DwOXMIDl1DGnTlrPcfT5bqrw92bbXSYmBlGi7ki1Fml9HXA/qY+kTEL+mpW0e\nN/WpI++xF2jI03O14nqU+EH72kY8SjFK1mAwGHoITW7Fs9tbqWj2h1W4tJLsa+uJVlTnULPmGi6P\nm8Udx/YlIS6RwYm6Oc+vF8ae8nybvPuF7MlCRnSp71jca5DWDxFVZAX4e8WtHkVD0MY6M06MIu91\nbb5SvVFrYFH7cDb/nVE/GdOFO++9GCXbBcycbOQwckYWI2dk6S4538/xsK4icEi2wDJcyoj1K8mS\n6gLKdxcwMG2AL2x4kj6/p1aR0xhHMEnMgZZPAsIyYqBvbInvWDw7A84rr69ioNbqxSZHwzcGO7hj\nrJOseMFdr62hir8MXBc75qepDL396o5v+CjAKFmDwWDoIYTyvlRl9WozbC4Ki6v0nGy/NL/PnL5x\nEO+E+lYIdkc8IN6Do+V5HC0vg9LrZ1H1nJX+EPHOxnblUY4RVLj0rj1eJZsSDZcPdTI5XVG1ZjNN\n+/VmAAOuuhvlGOdLK84GJjz0f+Heeq/FKNkuYOZkI4eRM7IYOSNLd8mZYNkYndFPfD1TgMl9hMQo\nfbx7/2ZKqwvJGH8WDy1oYEmO9lHsEGFYUtsh4ax4uH2MzaOsqgFAXP8k2bEZgPXVU9lZ17Z9m1s0\nhN+taeX1vW5qrV17kqP1NQre/ozll/6Awnc+AyC2f19U7AN44l9BkYZQBarwYIqjV9CbPD4ZDAbD\nEYvLrec8nQLfHeXkia1+H4rXj3SyOLuKwhoX+3O0435X8s3sLm/ij19l8/r1x9I3MYZhScJ2y2jq\n/IEOrh7u1Bl4qsA7mqsqkaYXEI9/+uv1vNtIiFJcNfBddtUNYHLqSjIThrGtOhpQLC5WjE7WcVOs\njXhqtuwKkD82qy9IDBADjpHgWYuj6R7gdxEuqSML05PtAmZONnIYOSOLkTOydIec5dZ2dBmxulc6\nOkX3GE/OFGJE8eDcbGauKmRe6elUpT7M/h3bfWn3lushX3vv97S+DlDNSOMvkabf+y/k2YN41voO\nW+PepqY1nf1NGby3/05ml1zOw7se4hcb7vBZJgNsr9ZD2d6erKu43HfOmZhAyiT/+lz7pu5HO6Yn\nazAYDOgt47pz1xjv3GdOdh7vRCVxzcR+nN7PQYLTwzdf2uCL18AgcAL4NwHYV9XEKUNTOS5dmNZf\nGJ9qLfdpXY2o7IDriCfQz47D4SQ52kNNCxS1Pz3L8lKtcBMtreEq0lbJQ2+/mqG3Xokjyq9OlPTr\nYOOBowvTk+0CZk42chg5I4uR88DxKMXN726jz5+X8NkO3Ts73HKuzq/h3wv2UFlaQnFlDTNXFpJd\n0URGrLBpf33INCmj/O3RR5t3Ulf7ItEO4cZRUUzN1E27eHa1SSfu5b7fntj7AEiPDV8lOqyoTYXa\nKnn4D64laczwoIv0Czu/3o5RsgaD4ahm1rZyPrWU66++2NMtMvxnWT7ZZXVUlfnXrN714XYemZfD\nfbO1TKP7xDO6T6BHiQ9vnsS4TA+lDUnM37u/bcaquN1reqJvAOeJAMQ5w5d1epaD1vpGmgpLkOgo\n4gaFGBp2GCXrxSjZLmDmZCOHkTOyGDkPnMW5Vb7f/ZK0s/zDKadSirxqV8hzX++p9P2+79wRpMf7\nm+yr0ktIjHEyfbgexl2SNw6UOzADT1H7Fxb/Gtssm19jr2FTKM7OcpAYJTRk6+23E4YPChgm9t0T\nfWlt7YLm7sX0uDlZERkCDFJKLe80ssFgMBwk20r8W8u4WkM7wD+UVDS2dh4JGJQaS6LTP3Q8NlP3\nagentAJO1hSN5J5Z23nssmOIan0GqAfl93GsZBCoIgRLETuyfOcuH+IgSuCcAQ42VXp4O9vDJYMd\nzC7w4LGtuXXu3Mne/60mNisTgMTRwwJkVEox58MtbFqdT2zsDdx6x4ddKIneSY9RsiIyFHgT8E40\nJIrINcBFSqnvd59kfsycbOQwckYWI+eBs7Pcr2QLanSP8nDKWVrX3CbssmMy+XRbWUBYdX0F69f/\nAmfyz4lu2cA5Z+n51NEZdYD2VLGttJn5O/7LBcO/9qVTjmNR0TfpIVxVAU2/AsfoAJeJidHCNSN0\nz/OsLAfjUh0MiIeLBjnYXKmYuVMr5oqX32XnvC+IG6wVdMpEv/MJgIb6Zjat1ord5Ypl+cof0Wco\nRzU9abj4OeAzIBnw1ro5wIXdJpHBYOjVlDe0UN7QSlKMk/goBzUuNzWu8HqWkaKsoa3XfadoRevl\nxIFJfLT8vzhUNak1D5Ds+th3rl9iLS9c+ixRDq0IcyqDhp4do8E5GiQFHMNR8c+jYv8EEno41yHC\nwARBRIhzCgNsQ8lxVXr4uilfD0OnHDc2IG1NZaB5ckNdB2PPRwk9ScmeDDyslPKN1yilqoHU9pMc\nXsycbOQwckYWI+eBUWj1XIemxTIoRfcGC2pch0XOxhY3t727lYfm6iU2ickpvnP1zW5uP2kgj1wy\nivvPH8HvzxvBxhw9gzaozwgeufVNn4yiGhiWWsaPp8wBoK4l0G+xcgwKOEZS21WwobC7c4ytrgw4\nFzfA/yFQV9PE6sU5Aedzdgf2xo9GesxwMVAEjAF2eANEZAKQ220SGQyGXk25ta1MZkI0AuyuaKSg\nppm27vUjz7rCWvJtBk9xCQlk9c0gqraE7544gMQYJ5MH+RVvWY3uPf7pxpdIiE0iF681sZ6nTYrW\nLp1qm4Okd4w8KDnjo/w92Zja6oBzMZn+Dd1f/89yaqsDNwloaQ4yxDoK6Uk92b8Dn4rIbUCUiFwP\nvA082r1i+TFzspHDyBlZjJwHRnmjHqrNSIhmoLcnW+06LHI25xYEHCelpjEgPYl/f2scg1JjA865\nWhpxtTQS7YwhPiYRsJWl5Ys4KUYruJ3lA1lXpA2SlGM8SKBxUjC12/ey98nX8LS0HSYv/GAOhR/M\n4aRH/8DEF54gobSYrG+e6zsfk6EHGl99ammAgh19jFnC46XHKFml1H+Be4FrgDzgFuAPSqnXulUw\ng8HQaym35kP7xEcHDBd7+cNX2WQ8tJgb3t5KvdUre35VIS+tCbEmtYtseuiZgGNnVBTJMaGdQtQ0\n6GVGKQnpbb1SBSnZovo0fvn1jczf/w9U7H3QiRerJWffyM6Hnib/jcBt8DyuZtb95E/MWF7C5gFD\nGPaFngdOnqjnYVviE1k4dy+rF2dTXFATkHbgsLQOr3k00WOULIBS6mOl1CVKqQlKqYuVUh91t0x2\nzJxs5DByRhYj54HhVbIZCVEMTg2cky2rb+Gp5bq3+cWuCubtraSkrplfz97Lzz/fQ4v74Jb7uKJi\n2oSNCLGLDkBOifZTnJKQ7gvzlaWlZJNjAodqH5pXgacLA9+1W3YHHDcVlVHWbyA5Y49ly5TT2TLl\nNEb/8vv0u+AMAKonncbqxTnM/2xHm7wyMhPDvm5vp8coWRH5t4icERR2uog83l0yGQyG3k1ZvVay\nfRPb9mRzqgKV1prCOm54Z6vvuDLM9a3t4YrzK8DYaG0eE2qrurqmGv7x4b0ApCb2aXNerLWwafFt\nm/PqTmR0lVbYMgo6V1RKU0KC73j3MZMY9bNbSD5mFKd9PpPUKy5tN9+4eGNV7KXHKFngemB1UNha\n4LvdIEtIzJxs5DByRhYj54HhVagDkwOti6dNm0ZukJL919J81hbW+Y5DLb0JF4/Hw4JvXO07PmHc\nCACSQ+im0ir/3O2QzFG+39OmTYNW3WQqhISUpzi2f2APsjMZ9/33fd/vvJc/JP/NT2mpqqG5soam\nojKa4v35lQ4bCQ6tMlJPnIAn2t8TdzqFe/9yMakZ2kFGn/5JXHTlcUy/KHCJz9FIT7Iu9tBW6Tto\n831lMBgMkcGnZFNiGZQSY4U1o5Rin6Vkf3DSAN7YUEJdkKVsxUEo2YoCv4/iiTs3wuTjoAmSots2\nd43NfmcZl04N7HOIZ6f1oy+IkyuP68eWYv+uO2X1LYzJpF2qN2wPON78f39h8//9BXE6iUpNonjq\n2b5zDTFx5Fe7GJKme+BVNice8Ym67G756Rk0N7USnxDDxKmDAVi71r+t3tFIT+rJLgYeEhEHgIg4\ngT8Ci7pVKhtmTjZyGDkji5Gz6/zhq2y2WC4VB6XEkBwbRUqsk6ZWD5/PXUBOpVayY/ok+FwY2nl0\nUR5KqTbhnZH32sfMueQu3/HYJQuoa9IKPClEt6fBVQvAlFFnkpZkaUzlYfHCT0HpdagqWveKpw1P\n5VdnDWNSVhIARbWhfSJ7qd22O2S4crtxVdaw+sxAX0C3v7cNpRSlRbWUFtX6wuMSdBc8JiaKpJTD\nsQDqyKEnKdl7gPOBIhFZBRQCFwA/DTcDEblYRLaLyC4R+XWI898VkQ0islFElojIJNu5HCt8nYis\njMD9GAyGHozXqAmgj6UkvMZPRXXNvLpe72AzLD2O0Rl+Jev9vTi3mv/t8G9cHi5b7v0rdZbjiaTq\nSgbn7KIRJwIkhFSyeog6PjbJH+ieizT/E3Ev1Meila+IcP6YDC4cq9evfry1lGabgdasxTu5+4Vl\n1Da14G5owrW/FIkOPaBZn9zWD1B8Syu/f/Br5n4auCftJKvXamhLjxkuVkrlichktOenIehlPCuV\nCt5WIjRWz/dJtKIuAFaJyCyllL027AXOVEpVi8jFaFeOp3pFAM5WSlXQDmZONnIYOSOLkbNreGw9\n0L9cOAKHtcxlTJ8EtpY08ExhH0C7CByZHsco2xZz04ensrtCn9vXzu45oSia9TUlXy0FoMFSssPr\nK2hJ0cosKQqfHHbqrZ5sYlyyL0ya32D66X5LYyRwu7nTh6USG+WgsKaZlftqmDYiDVerhye31wNx\nfDFrBcdtXgNA/OAs0k85nuLPFpA6eQLO2BhKZi+mJs3vaOKqF5/g/Vt/wvQ8/VGRv1c3k9MvGktm\nvyRGjOsbdjkcbfSknixKKbdSaplS6h3rf1fchZwM7FZK5SilWoC3gG8F5b/MctUIsAII/vwy878G\nw1GA16o4PT6Ku072ux2c0E9b03qV6PWT+jEyI56Rtp7saUP9Xph+/2U2L63tYDs5Gyt+9Ec2/08P\nl9cn6TwyEmJo7KMdN6THhk6XW6I3Xk+w92TF/1sRD45AJZsUG8Xllu/jPda97Njv99ZUtHwjuc+9\nDWglO/Hx+zh29SyGzXyUyS8/Ssrx4/niqpsBOLGpnG/9+iau6td2yHzw8HRGHdMPh8M0ne3RrUpW\nRLbbfue187cvzOwGoXu/XvKtsPa4Hb0hgRcFfCUiq0XkjlAJzJxs5DByRhYjZ9cosna+yUoKXKvq\nU6Z5mwD48am6CRlgi3flsX1JjPY3nT//LPS8ZgDuLbz5u5u5+3u/Z1+fLJr6611sUqOgoa9WkOmx\nbRWVR3mYv8lyAhFvOXhQblDlLFpq+RF2nh7ykqMz9QfD6+uK2F/jYsMO/8dASbF/D93UyRNwtXq4\n++Od3P7uVgqqXYx78wmq++je6UlnTSLr8nPx1LXttadlJLQJMwTS3cPFdmV200HmFbYFgoicA9wG\n2NflnqGU2i8ifYEvRWS7UirA6GrBggWsXr2aoUP13k2pqalMnDjRNwTmbUC683jTpk09Sp4j/diU\nZ+8sz70VTZC3iSSVDEz2nS8pqgOsXmLeJvZsaGHCBecwZVAyQ2p2MjwtDodM47NbJnHWA6/qeEMm\nUlDjInvjqnav9/yKpczZ0Aps4jfX/5wfpjZQs2c95e5y3EOGA1C2aSmLyxwB6Svr/Q72nVXpLF68\nmGmnj0FoZtMWPYx8xtlTQt5v8fY11OzJI2XUCdw/Zy/Z65dR5xZSRp3A3vET2aoamZgiXPiL29lc\n2kDBVj18vDA7i1F94qnZs56+CdFccayeJivftZ7iggqGDZoAwL6ibaxdn8j06dMDru/9vW+f7h9N\nnTqV8847j6MVORDruIgLIRIFvADcqZRq6ix+O3mcCsxQSl1sHf8W8Cil/hoUbxLwAXCxUirkJ6iI\nPADUKaX+YQ+fO3eumjx58oGIZzAYehCPLMjl0UV53HP6YB44d7gvfEdZA6c9419yUvK7M4iyhkKV\nUgEuDW9+bxufbvcbPlX8vu18c2VjC7d/sIP52VUB4Tccm8nO8kbuiSllTubxuNIyuG2Yh5MHBY4Z\nr92ziEff/xnHDp3KH657Vge61+Jw/QUlw1Axt4BzEqGob3ZzxSsbOyyH5Fgn7980ifvn7GH5Pu05\natrwNE4dmsLfF+7j/NHp/OpsXT7vzFzJvr1+kxVxCr/400Ud5g96Cc9555131I4n94g5WaVUK3rf\n2IPZsmE1MEZEhotIDHAtMMsewdoY/gPgRruCFZEEEUm2fidasmw6CFkMBkMPxaMUsyzlOKGvf7hT\nKYWr2YPTpg6ibHONwT6Dn/924Ibl2RWBe6kCvLa+uI2CBdhvDVe3Dh+BKy2DpIJ9lE85h4ac/IB4\nW3J173h4//G2GyjR/x1j2lWwAIkxbbez61NcGHBc63Kzs6zBp2AB8qqaqLI8RaXZPDfVBDnnaHSr\nA1rCdLTRI5SsxT+BBy0F2WUsRX03MBvYCrytlNomIneKyJ1WtPuBdOA/QUt1soBFIrIebRD1qVJq\nTvA1zJxs5DByRhYjZ/hsLKpne2kD/ZOi+cY4v5vCj7eWce9nuxiTHkdayVYmD+jY/25sVGDzubW0\noU0cZzsGQTVNWok1D9I75GStXooAOc+8FRBv8z6tZKeMOtMXJkor7cVLS+mMf1w2JuB41Pa2fYdn\nlmnFfs4oba1c3dRKlSVfWpyeUVQeRW21/ojIT9S97fVxsdz3ZXZwdoYgepKS/Sl6F55aEck/AMMn\nlFKfK6XGKaVGK6UetsKeVUo9a/3+vlKqj1LqROvvZCt8r1LqBOvvOG9ag8HQ+1icq5XUBaMzfL29\nkrpmnraUTVKMk36J0TgUnfbUhti2pJu1re0G5S2tHvonRBFn7cl6/vAc+ie2ICLERzvYXKXzz9i+\nGQBnYqAFb2VdKRWeUdzxmYctxXrfWJQ2eFI2C+P2mJiVxPQR/h1xMkqLiPYEDhhutvK9eqK2cq5u\naiXXcsSRFh+F26OoqW7E7VbEJ8awIDGe1Vlp7E5J4JmVgT1jQ1t6kpK9Ee184iLr903W383dKZQd\ns042chg5I4uRM3y8ymryQP+602eWBw7TpozS7/qaglo64pObJjJ5oFZ2724u5fFlBXywtZSCGhc1\nTa3sKK1jSEosx1mWvv/9xueMy9BWukV1zby3chfvfr2Cf488iaboGHKff52mvb+Dls9xe1qpbahi\nY+stbCtz8c1XrV6o1ZOdNu2MtgKF4IQBfmUcVVfH2nIX5Y2tFFpD1l68a4EVsCpfDx/vKGtg+N+W\nsXCdtkzOyEqmrhUqEmLplxRDVqLZCKAzutu6GAARuQg4FlinlJrX3fIYDIbeRVOrh4+3lnHuqDTm\n7tFKarxtPnZHiKFegF1lDUwdnBLyHEBUTCyvXzeRCY8tQwGPLcxlTHoczziE2mY3STEg+OdGXa5h\nNLToJTslDa1Uu7QsuX2y+OKKizjmGx4mJu5iUMsLVLqmolA4xAEK3xAuyjK2knTC4bRhqby8upD+\na9ewN70/Lrci23KiMdBampQU42zjCOP4AUk88HUuAB+uyGcCEJ+ZQGOpf73t4OQYGppbSYjpEaqk\nR9LtPVnL/eEHwHXApyJydzeL1C5mTjZyGDkji5GzY/65JI8fztrJuH+upKyhhdQ4p8/xxM6yBkot\n5xReQ6eaPfpd/2RrWbtDxnUtigfXt/LAeg/TjtHL+gYnx/jmYZNjnAEK9o5ln/LmrrN8x7VBGw68\n0286f1x9Fn9ddgoA/8tfR0V8JolRfoMjd/NcROUAsHhpePOhmYkxzJwczzffmsnmUccGnNtV2YRH\nKWZcMKJNum9O8O8sENOiZV1U1EBDqydgvWRuZfher45Gul3JAncB51nzoxcCP+pmeQwGQy9j9q5A\nb6n/vmwMKbG69zV/T6Uv/JFLRnHT5CyunaR7m2UNLb7deDxK8ck+Nw+tb+Hvm1q5d5V/r9asrCwu\nPmVSh4v1111xLZ/u9ntmum7CFkJ1AF/ZPJF1Rf14Mm8Rq4ecSZP4e9wnPdvIysIB+kDadwThUYqm\nVr/P4sLXP8EtDtZmDg2IV+1yU+HyMGmAHjrfVu63kF6e57c4djbre11QpIfaB6TF4bY+PnaWhx4F\nMGh6gpLNVEott34vRVv69kjMnGzkMHJGlvbkdLs9vPPCKub9b1vI84eb7irP1NgoHALpsU7G903g\nsvH+Xpp9kHRkn3gGZvUjd+QFZCTrOcp8a2h1Y6Xif/ke8htgd22gOhURUhLjSY1vxzeihcej0z14\n5js8fdGXvHR1Hmtve6lNvC/2juTnI4qIFg/1rf48c6rTuPrDb6Mcx7Ypy/l7q5jw+Eru/GgH4/65\ngqGPLmNBdhXVG7az87VPeG3aZSFlqnFpBVrZ2EJ9i4fCumZKG1p4ZKHfgV6SpVBrvT6eM+JJjNa9\n9O2l9SHzVUpR5zq4je17Az1BySIiDmuLO4c+1Me2cIPBcACUl9Sxb085a5bkUlVxdPU4SuubWVeo\nDZeincKxmfGMSo9jxjnDAuJ5XSz+9IwhbKl28G6OhyY3tEbrnqJ3z9m9NR1bGns8Hjxuv1IZmd5I\nWlxxyLh9E3Qv8eKBCxmWUt3mfElDAtcNrOTmAZXgCezu1rhiUTGBm5PVNLVy5RubKapr5t3NpZQ3\ntNLqUTy3qpCq1Zt58sIbmH186A+cGpcbpRTbrXnpwroWcmsCjaKSle4V14mDV64ez6ioz0lRekh9\nZ2nb9cEAX+2u4MpXjbuBnqDAEoFW668FSLUde8N6BGZONnIYOSNLe3I22CxI87Pb3WDqsHE4y/O7\nb27h15/tZmdZA2UNLcQ6dXO3uzxQKRTX6jIakRHHXquHWrJxCenxWrkWWD3Z3Lq2SnZggu6x1dfW\ncM0A/9xkWkILM6b9l/eunMn5w9sqmvQ43ftzUIrT4c83NtZSdLXaIjjdsk1NjwtSZI4+AWX59IoC\nQvH5zgrOKchg7YgJIc8DtHoU9S0e39Z/wSt7o5UiDt0Y//TMoYxK3Mes5TNpLX0C0M4rvB8zAGX1\nzczaWspTS/Mx9AwlO7KTv1HdJ5rBcGRTb3PqXlpc142SHF4aW/xGRYU1LvZVNoU8B1Ds3SwgOZZm\nt1fhKa4b/h4Au8t2kFtbyR5LAV83QjebDXW1NNdWUV9TTXHePv42bw8ACcnJ3D1tLQOTteXwj6fO\noV+1f953Qr9E0tICt7v+x6U7IaUE1wC9487s7JGkPfYz/j7ncgAm9i1lQh//OlxPkDFWeUP7w7JV\njkD/Put+PJUfnjIwIGz0P5bz2U79Efbg+YFGUBcM0fO1tSL8fNoQ9le2dV0wZ6ffveSML7N5cmk+\nDS2eNvGORrpdyVpb03X4190yejFzspHDyBlZ2pPz8/f8vajyku5XsoerPHNsSrWkrhmX26+UZu+s\noLJRD5A1tripbmol2imkx0dRYXX8r79wFMf12W3llcaq/UtpVTAgHk7v52BEEhTty2XljnzKi/YH\nXLtf3zTOzvzKd7x01RSSTptO1tBh3Hn2OB6/fCwOh39DdOU8m2XudBi6jdikBpC2yml4ajVf3fAW\n0U59rqi2meGTJ1HdrO+zsLZzC98pg5LZcPdUhqXHcf85w1n1oyl4HVI128rnqmP7EuNoZZTzMyam\nFXLbsXr+OjE5lming9rGtm4i622W0jvL/NMSzqPWY7GfbleyBoMhPPbtLWf3tpKw4yuPCtibqiGM\nhri34PW9C7Ayr4YgD4i8sU7Ple635h77J8UgyoW7dReguKjvO/RLqKFvQjUtnijySrVSVlXF/Pbz\n3dw8wq8I3W6/grng03eY2t+3gyfPZP+M9xP1qsSEpGRGpsfpE+J3hKEcY1lUqtej/njsVIgPdIDR\nJ76Bc8c3MW7hBNKS9QPdXFbNpDn/5uS5zwD+IfCL+zqJUh7+OG0gv5g2xJfHQ5tn8+lNExmSpq8f\nG+VgVEY8UwYlB1xr5hXjyEqO4a5xqxnlnM3wlifpb2nKicO056jiSr9BVGFNva8cZ20t5bZ3twbk\nl9mxZ8qjAqNku4CZk40cRs6ukbOrjHdmruKjV9eGNGAKJacryLKzPsjDz8GwpNjD71a38OKu1i45\niT9c5elz3AD8b0dFgKN/gI+3lvLM8nxyq7RyGpoWR2HVs/xqzB947oQb2LTic5wOxfRhegi40eWh\npCCPpXtK2VRUx8db2voN/vay2Ry3fAGZe/yjB1UtgQ4jxqR45UhCOUaiZBhFLSdQ7KonIyae64ce\nD3H+EYcvrn2bbT+YSUb6sdS6nTRH6XO/nZ0NW/MpddVTVltOTmUTiRRx5V9+zcxnfs9FS+fw2zMG\nccaOtYwrzOaKH1zaxtcywMxvj+NKaz1sjFM4eXACX2/4kNoqveDD1VLPx+/rZ5aemUijq57Vuxf4\n0lc0anlyq5p4cmm+zxIbANVK07572lzzaMMoWYPhCOC9F1f7fs/8+0I87vbnu/L2VrB9436arCHR\nxGS9BKS+zqV7txHgiwI3Fc2wolRR02NME/1UNfqFSoxx+JTs2Ez/2tIPNpeycK8e+hyWFseQuEUE\nkxyn3QZuL8mgrtpvBfz17so2cWXnbiY+lMrV588FwOMR9jaM1ec8bq4Y5iAp2lKyIqjYv6LiHqXY\nGmodGJfMqKQMbhw71pfn8NRqHFzNpIyzSI6KpTpB9yKzy1sgdyL9K0q4+z8XMtXxMGfEPMzWU5uI\ncS79R4wAACAASURBVLey94lXaMjO58dfvsWfF73NgHNPDVlOQ9LimHnleHb+3yksuONENu2exXOz\nH6Kg3O/oosGp/RMnpcSybPscahr8954eF2IuWClQCrdrJ05CL+85mugxSlZEnmgn/PHDLUt7mDnZ\nyGHkDJ/mEGsN7ft6gl/Oupom3p65kk/f2kBpkR52TEyKITYuChQ8/fA8aqsPaMtmHw2tilJbFuWu\n8BX34SpPe082Iy6KDGs3mYlZgeOXS3K14hyVGeiYf/rpugd6TJbebLyoLjXgvDf/b4z37+KTGi0M\nvcGf/6qP/Y4nvrl3KRcNCtp6TgTESYlLK6LMWJ32l1OPIUWqmZL8JfN/sofCTxJIiY5lYmp/SLTN\nhw6ZxPhSPbqW7NDzwlun+Ieul33j+wDE9s3whSmlQtanzMRo4jz5vDz3723O7U18m+yE99je8AWf\nrno14NxxfQPvKa5xNhmVd9Cn7k/U1fb8kb/DQY9RssD32gnvMRsEGAzdgVdZ2lm3LDfActhLzm6/\nlWdBru5xxMVHM+ZY3eA31jezfaNukGuqGikqqKa1xd1hzziYnUHrRct72FTvrrIGPtwcOJybbO22\nc/KQ1FBJGJ6RSH1roAL2xD3D0LS+HV7rhhOyuCx7PcetXsK0O4KcPdiez7GXnt5uHsvLde+0n6Vk\n+yfCqdH308f1KY273VSu0huvD45PAWegZXQUgYXvaAVlTcS76/S0Qkxf/5D1/M938O8/zQ1pBPfB\nspkh5fNIC+Ux6/ho1bMUVuQGnBvg3EB05T+JbVoAqpWExncBUC37GOH8ut17PprodiUrIreLyO1A\nlIjcZh3fZv39Geh808TDhJmTjRxGzvApLrB6W+P70s9yf7dneymvP73MNx/qlbPS5n1n9aIcAGLj\no7n4qomcNF0vzdi8poD1K/bx3KMLeO2pZTz+wJf8752NvnRV5Q1Ulrc/zLeuPFAhlzb1rDnZ59pZ\nMzo2M4FJA9puD5cWF0UTDuKdWil5Yn7EwlXTwJFJRkLbXWamDU/lsvGZPHfVePolxXDC/Nlc+NEb\nZEzxuyx0lUexY4mwq2Et8yrfZMqixzh17rNUNFvX8Lipbm5kbvEe/rlzKQCxTt3bnrdpli+fmCYo\nePNTFpx8Nal55diJyVuEUwLH6j1R0BB0i/FDBtDgquOr9e+zbMkGlEfx5cdbqKlqpLykzueFal+J\ntqZOaRntSzuu9vsktQ5vUwYj+x8DQFHBuySrLSQ2vEpV7a428Qw9Yxeem9A2kNHWby8KKAZu6Q6h\nDIbDRdmClSiPh77ntJ03Ky6sYelcbXwzfGxflFJ8/Yl2kVhT1USzy62Hgi0qytoqx4REvU5y9IR+\nrFqUTXlJHV99HGgFumNTEYOG55KRmch7L64mNi6Ku35zDtExgcOBHqXYWqkb5QsGOviy0ENhfWTm\neSOFfaP0dcX1xDodPHrRSK6Z1A+nQ/i/aUMoqW9h/p5KCmpcTB2SQq0rG0e0oq61DwkJ54JTl9mT\nu5cDcb78LhiTys+mDSfacmzR4nHzypRUjonqw3mZ1gbnMgTngL/x6PXPkF/nX8qzs7aMx3Ys5U/H\nncffPvg5r7cI+fH+nvLFWXqD9fomv8/g+Hp9L437CnG+9Dl87wQYvgHq0hm736+M7cz/bhQ31F/K\nzq21JO7PJmXiOJ769A+s2bMQUmF03c2QPY7nHtUGTOMmZnHh1eMoqtyH4GRY47fYFP0Poj1JJLtH\nML7uDqpHf8SuMr2B/K3n/ZJjh07lly9eG3DdKNcKCBoRb5LA9bhHI92uZJVSZwOIyJ+VUvd1szgd\nYuZkI4eRU1Ofnc/qa38GwAXZ83DafN96PIq3n19Bs0sPEfYfmEJNZaDnn4Y6F7FxUUybNo2C3Ep2\nbdFLU5JSYqmz3AGm9dHGPlmDQg+VevEqbwBXUyt52RWMHBc4XLqrRlHbChkxMDVTK9n8hs7cDbpx\nOHTrG7HyVG5QeSADQQKdLSTH+lt6t4LU+ChuONHvEv0Sy2/xJeP6sDinirNHplPeoIc5S1snM8yS\ns7K5kRlbvubKAYPYt/94bjt+HtdNuQYc/gHAN7PX88G5Q5lxp5PYuD/qQEmmxtNCvkuPQJyQOpT1\n1dqBw9N7VpDubmTt3sXkj73Sl8/E1P5cMkAbPFU36Pn2KaPOJK5phS/OyH2W4VVSFQkxeQwcFtpa\nvDSxgQ/FResprZTFFtNnWCNrVi70nS+OXYRHmnGoGNJax7FjUxFjznCgUCTSj1hPBsfV/Byn8pdr\nttM/jzsi6xgG9Wm7a88AxxoAtrVexTFR7wNQmNAvpIxHE90+XOxFKXWfiPQRkZtF5FcAIjJIRAZ3\nt2wGw6GidI5/+LQxP9CpQWFupU/BAvTNSmbsxCxOO3eUz/ddTVUT+/OqKC2q5c1n/Q3ylDOG+36n\n/T975x0eV3Hv/c9s0+6q92YVS5Z7r7g3IKZjEnoNECAQCCS5CZCEEm4IuZcOgUDondBCM9244N6r\nLFm2Jat3rbS9nHn/mNUerVcG517n4rzW93n8eHfOzDlzzh7Nd349TZGs0WRg/mnDY+ZwqLTai+Z6\nXaIKapJHdgV5aJeaz+hUA1lhAe/bKp29vvwxfvL4iTT1ia08FJqUSCnR5D+RISj4EQbvrxC++6Ka\nl+/vZHXYmakqnJAiox+VL0BWgoXTsow4nn+THLMKWekKTYkcr3ErJ6OvZA0fnvtfXDhyNWhNbO9q\nYvGqV3nuwCaW1JUzLtHNzYP7xC+LDOo96tkNTcxg6fxLWZyvpzX8Y/V2qlN1D2KACSm5kc/t3apA\n+uxRp0b1yWtyYpNqyU7x6KrjmpRS0utsxPXZfwWFkwbbl/gNXTy1/gEAclNVzuYe8wH2x79BVcJL\n+IW6xzdXPAFAnF+RolVLxywTmXfqMPad6KU8pBN6UWYZBoORRFv0ps0sPDhFBg3a1EibN26gqPsx\nQ7JCiLlABXAR8Ptwcxnw5Pc2qUMwYJM9ehiYJ2j+AHvu1J3qPQejSXbrOp2YTl48CrPFiMEgmHli\nGckpyhv2rec28OqTa/nDb/4W6ZtflEpCoi4Rp2XqDj2TZhbzyz/+gJHjdTXez+86iaIhupesKVxd\npW887kGXpNyhS6ynDDJgNYLZAD5NeRx/XBtiV6dOlNsOrOb9dS/g8nZz89/OZnX553y9YiV7HRoh\nKXEGJG8eCPHzdQFuePsJHnjvV0f44NowBJSXq9CULdkTlKw86OSPS6sJhLMXBcO2xvJDCrKHPD5W\n/+BK1p5+DV+PPYOOb54l2dxApz8VH6MB9bsfdCmydgRNbPcMQwhANnD37q9Z3lrN73d+SZuvmeXT\nK6LOL43jIySbb1MF339RNj2qz4G0aJL9WZkyFbQ6GiNxqAWZQyi7/Tq8KRnUzTmLkC2Ror3KRSXB\n30NHjYd4+3gqssbh8Qxh0H59OXeaYjc1uUml2ELZUW0OcxUSjapmFdub5h8TdTy/KJWlvmrqkovp\ntKaTkD8Jq0Vt2n7zo9iAkM7EREJYqQ9NI4iF1uT0mD7HG753dXEfPAJcIKX8UgjRG4i1Fpj2Pc5p\nAAP4l6HxH19GfXfXNEQ+tzU7I17Ap50/lhHjom1b+cWpODr7r35y6nlj6WjVvUf7kiyosmzzTh1O\nc0M346aqrEDxCTopF5amsX9PK44+JNvRR1pNNkNqnIh8bvPBJ3UaXzQogv3rDAPvrXmON1f+Jeq6\nn25+g87Q5QRMIS4uNbKtXWNnlwQEMucyNq09iTaXi4z42DRB3zRrrG3VuH64kXjt/ahjoVCAe7fD\njsqm6PbwnuD8sdlIKRHhMm0tn62ke5uelanwQnW9L1tPZWiGviQecOlhUrt7UpiWBCL4DU0elU7d\nEwpSkBjtl/l152TGZUxgn1Op3gtsSQRDAR595VLGizhsAReVmWNoj9fJbv6BzzA6zyFkT+bGp5SH\ncl5aMfnpg2k4O5WqxkwQAs1oprh2N3uGpmMP13ctzCtjaGcCMq2I6Utb2DvTiqGrhm5zrBOSUbMT\nF0rDY9QrAwWFC7exgUDIS4otk5SuEVFjbPEWBBAwxrGhcC7bDLrWIy0hVhXcEZ8JyRvZTSnllhw0\nY/9akuMJx4wkCxRJKb88pC1AjCn9+8OATfboYWCe0P7Npqjvzj37I593bVYesmkZ8ZSNjJY+AGaf\nHC0JFYXVkZNmFZOcaqN4SAYnzC/l3CsnR8ilL+wJFn588ywmzlAqRHuibn8rKlXSR1eHm4NOyeZ2\njU/qdLX16QX6n2SSRZ27l2BBSZWHEiyA2WTHXzIFd+U9PLfyjTDBKmi+JuLHPMlvt5pxBmJtvK/s\nC1HVLfm8XgMZLZnu73HQ4pG4nXqoky+ksfSil3j5rOU4E3N5eV+ILm8XSI22r9dGjU8aoYh1e/dE\n4sMcO2vWLLY5dNK+q8KBxIaQB1iYti/S/oeh+saoxWfisi0mSj55lN/u/AKACal57GvchcPdQZar\nkUR/N2MaN0TGxPu6MQdc3PbSJTz+0e8j7adOvpiGg1289te1Kp4WcOUUKpVxwMjQTitpRTaos/Oj\nvUMYZZyO9Z6b2G7/ljXKb8VAtPq2ybqceqtadgvTRgEg+jiO2eMtUcUI/FoIT0h5NKcmZDKlbF7U\n+Vrjc8DmQtq8aEYjd41acPj5HCc4lki2XAix6JC2hcBAQcIB/H+HkNdHw9+XAFD44x8C4NimOx61\nhyXRWSeXRdS3fZGYbFW22UMw+yTloSoMglknlVE0JCOmT39Iz9LjPgYPzcBgEDi7ffz3Vh9PV4So\nD/PaBYMNzM7Rl40s66Fngpru/iXslu5m/M0f4G/5GM/+B6KOab5WXDtvxFv9Fw70SJrckkA/2aka\nPRJkW1Rbs7sTd48iWIPRyMYmF7vbXJSltXNG6RauLX2GLs9W0rSrCXkfxFO7LTLWaBfY8k0ENSOt\nvmzsJp1gdnTpEp8jaOLzhrG89uJpnNyQzp+G1vHiuAMU2ZSt0heycdamIfQEow3U3sZt3PnaVVFt\nFs3P1IY1WIJeStv133zNns8ByEsrYuG4xRyojJaSQ7YEctqDTGvKJmhQ9uZQm/5u1GmpLKwbhkmL\nDVMCwG/FFsqJagoJH93mvRgwMyn1PCC61J3RbKAzEP17/ql8RUQz8MvFD7Bo0gUYzDa25k5jdnYZ\nX879MaflDuW24XO4cUj/maaOJxxLJPsL4BUhxEuAVQjxNPAi8Ovvd1o6BmyyRw/H+zxrX3wv8rnk\n55dhjLfTvW0Pji270YJBmiuUJNvrGdwf+noL19SrkJz+CPlIkDtIP1dqejxJqeEMSK7oBTbDGi0V\nX1CiX0/KEIH2FXxVqZPYf176IhNKZgLQ5qinecvnkWNaQM9e5Kt/BTQPvvpX+KRe466tQf5RE+sI\nta1DEgwpkpVCqSv9wXqa65T3rhZO1j8oqQdTuE7rjLSVXFv8CABmuZapz2l4zp6G5Y3nsZcq0bXF\nl4PESHJY0Fu2YgXV4fSBZQnpCAmbXxhFXW0ua1eN53SDgbOy9flv895DuTM6axTA0pWPxbQBFEs/\nvxROcpyxMb1XnXQbQgiC/ZSKM06+lBmNuYSEh44aDyapX7Ptm04GdyeTFtDtqsmBYZHPnrY4sn0z\nmFFyNqdMuijqvGm+cez4Rt1vb9ysJc6II+gldEhu6ser1vL0Pl0av3zBr0iZ/WtaEvP50aBRTEzN\n4+Vp5/LLspm89Pjqfu//eMIxQ7JSyrXAOGAX8DywH5gipVx/pOcQQiwSQuwRQuwVQvymn+MXCyG2\nCSG2CyFWCSHGHunYAQzgaODgC+9S++oHOKv0zDnWnEzyz1eepLUvv8+rp9yKKxw+YQ/2LxUClAzL\njAqxGTzs27MTfRsyshOZe8owTjt/LMIgSA6TrMXlUbloe/sdQrJWo+DEXLWMBDvX4Cr/NStXqKoz\nwwtnMCR3NNef9QgGeylS8xF06Cpy957b8TW8DcFuNL8utfUWTv+qUeO61QGe3BOdBlDKsNezQSVN\nWJD+eMz9FCU50OJ+S7lTORzZjPpzNFgEn15h4zVzARmvKBVtoy+fAksQW1iSbfE5CUlJvi2JlQt+\nwlTyMGr6cllVWRSeC5y3dhjD+ngH9+LCgrFRUuGwQeNJjVeahZkjFnHNot9zzaLf8/vz/8qg9JJI\nvxEFEwEI+KOzOwGETMp2HhJKkjXKWGLP8+oq2nkTL8UorVhDGcT1FGHAzHkn3MT4kugMVKmBUVHf\np84pZtTEfO77QGVtKktIJzNOt5XftvMLlrylnM6EEHSHJfhks27b72x309oYm63seMOx5PiElLIe\n+DOAEMIOxL5lh4EQwgg8DpwI1AMbhBAfSCnL+3TbD8yRUjrCqumngROOcOyATfYo4nicZ+f67ey+\nNTo37NjH7wAg+5Q5HHzubepe+5DmK++IHPfV1JJQEGuTBaUSPufySfi8QRprJ5OZk9hvvyNFb0Yo\nAFs47CV343Y8qcl0F+aRVNuAVjQSDom3PafYwJAkweeb69jcp92QqDx1HX4wJU/C795HWoG+5AQd\nmwk6NiuClTqRSs2P6FNofFuHTvJ51losBkWYrlApj6/OYHx2deT4jPxNbGwaTnGyg3/Ud7K3axoj\nhqyJudd8aw/bu5rZ72piRCI0evPJ2VsDk1WIU+rYobBmCyXxqVgMRi5IG00rethMV2cS+/YW8M6b\nP2Ay8EXofVrOvJV9rk4+3vY+q9c8xeg4yVZ7Gg53B49f9xEZSbn0eLpYtuMDFo47B3tcAgvGng3A\nrec+xm0vXsSc0WdEYoq9ngBBvIQMHixmC/jsCAQaIYLCRVqRDWOXItk9qZ0M71TpE5viNXZmTwJg\nbkkaF7gfYPemJkTYveXA3lamzZvGuTOv5a1VTwEQH9SzVQGsX6Ge6frBdZAJZ+YN55ahMxn00X9F\n+uzaUs/Q0TkUDUnHEVCkn2y2EgiEMJkM/aYDPR5xzEiyQogHhBDTwp9PA9qBTiHEmUd4iqlAVbjQ\newB4Azirbwcp5RopZW8pjXXAoCMdO4AB/G8gpWTXr/4c025OUzU602ZNwlaUx6FWSFfVwe88d5zV\nRHFZRqTaztGA2aaTnK3TQfa2cmwdDl77yxqCgei9r0EIxqcbMAWjbaXBRBUv2R2QmFMmH/Zagc71\naH59bJLWiL99OVrAEdUvwQR3DdetR69sy+fL6jHcv+4MAEZm1CFRtuzMRBPXblnFn/YvZ5tjYmTM\nc7XKqevHBe3cPfxhTsv5B6DUxYN7ugl0KSm5skcRalmi6l9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RA8wBdkkpe1DuC8dM1d8B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NX817li0A5O091NH03Ql6gW4MJB6aj8HyoN7Skop/eNo3e8kbunZDFm7c3dfh+1Zz9q5xo0uKnT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\n605K2cJiwQ5uSVtPRWYzNqBYHgGYsJaJeD+STNYP2cgQ8e9Q67q7tD9JY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"text": [ "" ] } ], "prompt_number": 18 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Cox Ingersoll Ross" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Cox Ingersoll Ross (CIR) stochastic process is used to describe the evolution of interest rates over time. The CIR stochastic process was first introduced in 1985 by John Cox, Johnathan Ingersoll, and Stephen Ross. The CIR process is an extension of the Ornstein Uhlenbeck stochastic process. The stochastic process is often used in the valuation of interest rate derivatives and has been used in the Heston model to describe the evolution of volatility over time. One interesting characteristic of the CIR stochastic process is that it is mean-reverting. Mean reversion is the phenomena whereby a level tends to move towards the average level over time. In other words, if the average interest rate is 0.5%, and we simulate 500 independent CIR processes, we would expect the average interest rate at the end of the projection period to be approximately 0.5%. The stochastic differential equation for the CIR process is given by,\n", "\n", "$$d r_t = a(b - r_t)dt + \\sigma \\sqrt{r_t} d W_t$$\n", "\n", "where $W_t$ is a Wiener process, $a$ is the rate at which the process mean reverts (a larger number results in a faster mean reverting process), $b$ is the long run average interest rate, and $\\sigma$ is the volatility of the process. The code for the CIR stochastic process is given below." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def cox_ingersoll_ross_levels(param):\n", " \"\"\"\n", " This method returns the rate levels of a mean-reverting cox ingersoll ross process. It is used to model interest\n", " rates as well as stochastic volatility in the Heston model. Because the returns between the underlying and the\n", " stochastic volatility should be correlated we pass a correlated Brownian motion process into the method from which\n", " the interest rate levels are constructed. The other correlated process is used in the Heston model\n", " :param param: the model parameters object\n", " :return: the interest rate levels for the CIR process\n", " \"\"\"\n", " brownian_motion = brownian_motion_log_returns(param)\n", " # Setup the parameters for interest rates\n", " a, mu, zero = param.cir_a, param.cir_mu, param.all_r0\n", " # Assumes output is in levels\n", " levels = [zero]\n", " for i in range(1, param.all_time):\n", " drift = a * (mu - levels[i-1]) * param.all_delta\n", " # The main difference between this and the Ornstein Uhlenbeck model is that we multiply the 'random'\n", " # component by the square-root of the previous level i.e. the process has level dependent interest rates.\n", " randomness = math.sqrt(levels[i - 1]) * brownian_motion[i - 1]\n", " levels.append(levels[i - 1] + drift + randomness)\n", " return numpy.array(levels)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 19 }, { "cell_type": "heading", "level": 5, "metadata": {}, "source": [ "Example usage" ] }, { "cell_type": "code", "collapsed": false, "input": [ "cir_examples = []\n", "for i in range(paths):\n", " cir_examples.append(cox_ingersoll_ross_levels(mp))\n", "plot_stochastic_processes(cir_examples, \"Cox Ingersoll Ross\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Kb1YB6LjtfMKLHyK5dy09c7+Yv1MBTUSP+Gm/9WwCr94GqFwrrWtP2gcFRjLu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wXvPQ9hGJgRi/3hIFPAvtQUSu2fpdThudDtO/pgcIi+56bR+8zk0dFopIhpV5VbhcVtW+hqP8Jp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\nqGFXopNfx7v51eS3sfUkA6eq+zCeXc3OddfVjwuXtGN9O1izeT+d23ZS9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xymNxUouVev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FeMJdyffXdV9L0x3dKZF/Ah4QQhwCzkZd4HU+C7yR9VWZzAM2Sym3SSk7gcfJbKECcAvweyCz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\nLcDBVlVYa46dmNFdarc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"text": [ "" ] } ], "prompt_number": 20 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Ornstein Uhlenbeck" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Ornstein Uhlebneck stochastic process is another mean-reverting process which is sometimes used for modelling interest rates. The Ornstein Uhlenbeck process is named after Leonard Ornstein and George Eugene Uhlenbeck. The difference between the Ornstein Uhlenbeck stochastic process and the CIR process is that the CIR processes multiplies the stochastic component by the square root of the previous value for the interest rate. The stochastic differential equation for the Ornstein Uhlenbeck process is,\n", "\n", "$$d r_t = a(b - r_t)dt + \\sigma r_t d W_t$$\n", "\n", "where $W_t$ is a Wiener process, $a$ is the rate at which the process mean reverts (a larger number results in a faster mean reverting process), $b$ is the long run average interest rate, and $\\sigma$ is the volatility of the process. The code for the Ornstein Uhlenbeck stochastic process is given below." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def ornstein_uhlenbeck_levels(param):\n", " \"\"\"\n", " This method returns the rate levels of a mean-reverting ornstein uhlenbeck process.\n", " :param param: the model parameters object\n", " :return: the interest rate levels for the Ornstein Uhlenbeck process\n", " \"\"\"\n", " ou_levels = [param.all_r0]\n", " brownian_motion_returns = brownian_motion_log_returns(param)\n", " for i in range(1, param.all_time):\n", " drift = param.ou_a * (param.ou_mu - ou_levels[i-1]) * param.all_delta\n", " randomness = brownian_motion_returns[i - 1]\n", " ou_levels.append(ou_levels[i - 1] + drift + randomness)\n", " return ou_levels" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 21 }, { "cell_type": "heading", "level": 5, "metadata": {}, "source": [ "Example Usage" ] }, { "cell_type": "code", "collapsed": false, "input": [ "ou_examples = []\n", "for i in range(paths):\n", " ou_examples.append(ornstein_uhlenbeck_levels(mp))\n", "plot_stochastic_processes(ou_examples, \"Ornstein Uhlenbeck\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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55ELbfksSIVRC8Xs+rMjpTc2bQK77s2cTyYKUUpNSrpRS/tv435ul7mnAO1LK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\nPR0/8VIlTaWq8xsHQa30kj731XuwTDE5XSTZc9H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Pu0qJlFMSs5SvJ9ZrI16W9Pp7dndu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JGKCu/qlLIgV1uB5SGRWI1dtmpj7kqcGqqmpkRC4SzVGU1QsZWHkOnzN5Bjk/JzBiWRJN+ATjFT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\nloCcLgALAdzLGFsIIALuXdAFGH4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"text": [ "" ] } ], "prompt_number": 22 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Conclusion and further work" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For more information about these stochastic and their applications in Quantitative Finance please check out my blog post, Random Walks Down Wall Street, Stochastic Processes in Python. Stochastic processes are useful for describing the random processes we find in the world around us. They are used in engineering, genetics, physics, and in quantitative finance. Quants use stochastic processes to project possible returns in markets and changes in interest rates over time. Stochastic processes are often used in conjunction with Monte Carlo methods to derive fair values for over the counter derivatives." ] } ], "metadata": {} } ] }