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Created September 26, 2019 21:39
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Optimal trading with order-flow and short-term alpha
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Optimal Execution Strategy incorporating Order Flow (Chap 7.3)\n",
"\n",
"This file implements the optimal acquisition strategy when incorporating the order flow from the remainder of the market into the midprice. The theory is covered in Chapter 7.3 of\n",
"\n",
"Algorithmic and High-Frequency Trading \n",
"(c) Cartea, Jaimungal, & Penalva, 2015\n",
"Cambridge University Press\n",
"\n",
"https://www.amazon.co.uk/Algorithmic-High-Frequency-Trading-Mathematics-Finance/dp/1107091144/ref=cm_cr_arp_d_product_top?ie=UTF8\n",
"\n",
"The trader aims to minimize the performance criterion\n",
"$$\n",
"\\mathbb{E}\\left[X_{T}^{\\nu}+Q_{T}^{\\nu}\\left(S_{T}^{\\nu}-\\alpha Q_{T}^{\\nu}\\right)-\\phi \\int_{0}^{T}\\left(Q_{u}^{\\nu}\\right)^{2} d u\\right].\n",
"$$\n",
"Here, $Q_t$ denotes the trader's inventory, $X_t$ is their cash process, and $S_t$ is the asset price, and they satisfy the SDEs:\n",
"$$\n",
"Q_{t}^{\\nu}=Q_{0}^{\\nu} + \\int_0^t - \\nu_{t} d t\n",
"$$\n",
"$$\n",
"X_{t}^{\\nu}=X_{0}^{\\nu} + \\int_0^t \\left(S_{t}^{\\nu}-k \\nu_{t}\\right) \\nu_{t} d t \n",
"$$\n",
"$$\n",
"S_t = S_0 + \\int_0^t b \\left(\\mu_t - \\nu_u\\right)\\,du + \\sigma\\,W_t\n",
"$$\n",
"where $W_t$ is a Brownian motion and $\\mu_t=$ is the net order-flow from all other traders assumed to be a shot-noise process. Specifically, $\\mu_t$ satisfies the SDE\n",
"$$\n",
"d \\mu_{t} =-\\kappa \\mu_{t} \\, dt+\\eta_{1+L_{t^-}^+}\\, d L_{t}^{+} - \\eta_{1+L_{t^-}^-}\\, d L_{t}^{-}\n",
"$$\n",
"where $L^\\pm_t$ are independent Poisson processes with intensity $\\lambda^\\pm$, and $\\eta_1^\\pm,\\eta_2^\\pm,\\dots$ are iid random variables representing the impact of order-flow changes."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"# load packages\n",
"import time\n",
"import math\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"with __import__('importnb').Notebook(): \n",
" import OrderFlow_helpers\n",
"from scipy import interpolate\n",
"np.random.seed(30)\n",
"np.seterr(divide='ignore', invalid='ignore')\n",
"font = {'family': 'serif',\n",
" 'style': 'italic',\n",
" # 'color': 'darkred',\n",
" 'weight': 1,\n",
" 'size': 16,\n",
" }"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Initialize a number of constants used in the analysis"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [],
"source": [
"Nsims = 5000 # Number of simulations\n",
"\n",
"# Time grid\n",
"T = 1 # Expiry\n",
"Ndt = int(6.5*360) # Number of time increments\n",
"dt = T/Ndt # Time change increment\n",
"t = np.arange(0, T+0.00000001, dt) # Time increments vector \n",
"\n",
"k = 0.001 # Temporary Market Impact\n",
"b = 0.0001 # Permanent Price Impact Factor\n",
"\n",
"lam = 1000 # Frequency of Arrival of Order-Flow Changes\n",
"kappa = 10 # Rate of Order-Flow Mean-reversion\n",
"eta_mean = 5 # Mean Order-Flow Jump Size\n",
"\n",
"initial_price = 50 # Starting Fundamental Price\n",
"initial_invt = 1 # Starting Inventory amount\n",
"phi = 0.01 # Running penalty coefficient\n",
"sigma = 0.1 # Volatilty (recall this is an artihmetic model)\n",
"\n",
"alpha = 100 # Terminal penalty \n",
"idxfig = [52, 291, 9] # Index of path to be plotted"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Formulation of the optimal strategy\n",
"Next, we look at how the strategy performs along simulated paths and compare it with the Almgren-Chris strategy.\n",
"\n",
"The Almgren-Chris strategy acquistion strategy is deterministic and given by the expression\n",
"$$\n",
"\\nu^{AC}_t = \\sqrt{k\\phi}\\,\\frac{\\xi\\,e^{2\\gamma(T-t)}+1}{\\xi\\,e^{2\\gamma(T-t)}-1}, \\qquad\\text{where}\\qquad \\xi = \\frac{\\alpha+\\sqrt{k\\phi}}{\\alpha-\\sqrt{k\\phi}}, \\qquad\\text{and}\\qquad \\gamma=\\sqrt{\\frac{\\phi}{k}}\n",
"$$\n",
"see Equation (7.6).\n",
"\n",
"As shown in the Chapter, the optimal trading rate subject to order-flow is given by\n",
"$$\n",
"\\nu_{t}^{*}=-\\frac{1}{k} \\chi(t) Q_{t}^{\\nu^{*}}-\\frac{b}{2 k} \\overline{\\ell}_{1}(t) \\mu_{t}\n",
"$$\n",
"where $\\ell_{1}^{t}$ can be expressed as \n",
"$$\n",
"\\ell_{1}(t)=b \\int_{t}^{T} e^{-\\kappa(s-t)} e^{\\frac{1}{k} \\int_{t}^{s}\\chi(u) d u} d s\n",
"$$\n",
"and simplifies to\n",
"$$\n",
"{\\qquad \\ell_{1}(t)=b \\;\\overline{\\ell}_{1}(T-t) \\geq 0} \n",
"$$\n",
"where\n",
"$$\n",
" {\\qquad \\overline{\\ell}_{1}(\\tau)=\\frac{1}{\\zeta e^{\\gamma \\tau}-e^{-\\gamma \\tau}}\\left\\{e^{\\gamma \\tau} \\frac{1-e^{-(\\kappa+\\gamma) \\tau}}{\\kappa+\\gamma} \\zeta-e^{-\\gamma \\tau} \\frac{1-e^{-(\\kappa-\\gamma) \\tau}}{\\kappa-\\gamma}\\right\\}}\n",
"$$\n"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [],
"source": [
"# Computing chi variable\n",
"zeta = ((alpha-0.5*b) + (k*phi)**0.5)/((alpha-0.5*b) - (k*phi)**0.5) \n",
"gamma = (phi/k)**0.5\n",
"tau = T-t # Time remaining to the end of the trading horizon\n",
"chi = np.divide((k*phi)**0.5*(1 + zeta*np.exp(2*gamma*tau)), (1 - zeta*np.exp(2*gamma*tau)))\n",
"\n",
"# Computing ell variable\n",
"def exp_p(a, tau):\n",
" return (1 - np.exp(-a*tau)) / a\n",
"v1 = np.exp(gamma * tau)\n",
"tot = kappa + gamma\n",
"dif = kappa - gamma\n",
"ell = (zeta * v1 * exp_p(tot, tau) \\\n",
" - v1**-1 * exp_p(dif, tau) )\\\n",
" /(zeta * v1 - v1**-1)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Simulate the optimal strategy\n",
"We next generating simulated sample paths, along those paths trade optimally, and compare with Almgren-Chriss. The simulation is conducted by\n",
"* compute the optimal trading rate given the current value of order-flow using \n",
"* execute a trade\n",
"* account for its cost\n",
"* account for the impact of the trade on price\n",
"* simulate the next price (accountinf for trading impact of your trades and others)\n",
"* simulate the next order-flow"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [],
"source": [
"# Allocate space for the processes we simulate and store\n",
"\n",
"mu = np.full([Nsims, Ndt+1], np.nan) # Order Flow matrix\n",
"\n",
"# Initializing variables for simulation base on computed strategy\n",
"X = np.full([Nsims, Ndt+1], np.nan) # Cost matrix of Strategy\n",
"Q = np.full([Nsims, Ndt+1], np.nan) # Inventory matrix\n",
"\n",
"S = np.full([Nsims, Ndt+1], np.nan) # Execution Price matrix\n",
"\n",
"nu = np.full([Nsims, Ndt+1], np.nan) # Rate of Trading matrix\n",
"\n",
"# Initializing variables for simulation of Almgren-Chriss strategy\n",
"X_AC = np.full([Nsims, Ndt+1], np.nan) # Cost matrix of Strategy\n",
"Q_AC = np.full([Ndt+1], np.nan) # Inventory matrix\n",
"\n",
"S_AC = np.full([Nsims, Ndt+1], np.nan) # Execution Price matrix\n",
"\n",
"nu_AC = np.full([Ndt+1], np.nan) # Execution Price matrix"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [],
"source": [
"# Initial conditions\n",
"Q[:, 0] = initial_invt\n",
"mu[:, 0] = 0\n",
"S[:, 0] = initial_price \n",
"X[:, 0] = 0 \n",
"\n",
"Q_AC[0] = initial_invt \n",
"S_AC[:, 0] = initial_price\n",
"X_AC[:, 0] = 0"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [],
"source": [
"# Simulating computed strategy\n",
"for i in range(Ndt):\n",
"\n",
" # Compute optimal trading rate\n",
" nu[:, i] = -1/k*chi[i]*Q[:, i] - 0.5 * b / k * ell[i] * mu[:, i]\n",
" nu_AC[i] = -1/k*chi[i] * Q_AC[i]\n",
"\n",
" # Account for the cost of the trades above and update inventory\n",
" X[:, i + 1] = X[:, i] + (S[:, i] - k * nu[:, i]) * nu[:, i] * dt\n",
" Q[:, i+1] = Q[:, i] - nu[:, i] * dt\n",
" \n",
" # If you were trading using Almgren-Chriss this is what you would do\n",
" X_AC[:, i + 1] = X_AC[:, i] + (S_AC[:, i] - k * nu_AC[i]) * nu_AC[i] * dt\n",
" Q_AC[i+1] = Q_AC[i] - nu_AC[i] * dt\n",
"\n",
" # simulate the SDE for price forward \n",
" dW = dt**0.5 * np.random.randn(Nsims, 1)\n",
" \n",
" S[:, i + 1] = S[:, i] + b * (mu[:, i] - nu[:, i]) * dt + (sigma * dW).reshape(Nsims)\n",
" S_AC[:, i + 1] = S_AC[:, i] + b * (mu[:, i] - nu_AC[i]) * dt + (sigma * dW).reshape(Nsims)\n",
" \n",
" # simulate order-flow forward\n",
" \n",
" # decide if an order-flow update arrives\n",
" dn = (np.random.rand(Nsims, 1) < 1 - np.exp(-2 * lam * dt)).astype(int)\n",
" # decide if it adds to the buy/sell pressure\n",
" buysell = (np.random.rand(Nsims, 1) < 0.5)\n",
" # generate the size of the order-flow impact\n",
" eta = -eta_mean * np.log(np.random.rand(Nsims, 1))\n",
" \n",
" # simulate the SDE for mu forward\n",
" mu[:, i + 1] = mu[:, i]*np.exp(-kappa * dt) + (eta * dn * (2 * buysell - 1)).reshape(Nsims)\n"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Visualizing variables as time procresses \n",
"OrderFlow_helpers.PlotPath(t, T, S, idxfig, sigma, [initial_price - 2*sigma, initial_price + 2 * sigma], 'MidPrice ' + r'$(S_t)$')\n",
"OrderFlow_helpers.PlotPath(t, T, Q, idxfig, sigma, [-2*sigma, initial_invt],'Inventory ' + r'$Q_t^{\\nu^\\dagger}$')\n",
"OrderFlow_helpers.PlotPath(t, T, nu, idxfig, sigma, [0, 3.5], 'Trading Speed ' + r'$\\nu_t^\\dagger$')\n",
"OrderFlow_helpers.PlotPath(t, T, mu, idxfig, sigma, [-300, 300], 'OrderFlow ' + r'$\\mu_t)$')\n"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Visualizing density plot of simulations\n",
"OrderFlow_helpers.PlotHeatMap(t, nu, nu_AC, 'Tradeing Speed ' + r'$\\nu^\\dagger$', n=40)\n",
"OrderFlow_helpers.PlotHeatMap(t, Q, Q_AC, 'Inventory ' + r'$Q^{\\nu^\\dagger}$', n=40, lower_threshold=0.05, upper_threshold=0.4)\n"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Visualizing price difference between strategies \n",
"fig_7 = plt.figure()\n",
"plt.tick_params(direction='in', bottom=True, top=True, left=True, right=True)\n",
"BasisPointSavings = ( X[:,-1]-X_AC[:, -1] ) / X_AC[:, -1] * 10**4\n",
"\n",
"rets = plt.hist(BasisPointSavings, bins=50)\n",
"\n",
"prob = [0.01, 0.1, 0.5, 0.9, 0.99]\n",
"q = np.quantile(BasisPointSavings, prob)\n",
"maxHeight = 1.1*np.max(rets[0])\n",
"for i in range(len(q)):\n",
" plt.plot(q[i]*np.array([1,1]), np.array([0,maxHeight]), '--', label= prob[i])\n",
"plt.ylim((0,maxHeight)) \n",
"plt.ylabel('Frequency', fontdict=font)\n",
"plt.xlabel('Price Diff ', fontdict=font)\n",
"plt.legend(('qtl=0.01','qtl=0.10','qtl=0.50','qtl=0.90','qtl=0.99'))\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.7.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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