{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Basic principles of pricing and hedging" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We shall first go through basic principles of modeling in mathematical Finance before we introduce concepts of interest rate theory." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We shall denote by $ S^i $ the price of asset $i$ and by $ H^i $ the holdings in asset $i$ (can be any real number here, no market frictions assumed). $ H^i_t $ is determined at time $ t- 1 $ with all the information available there.\n", "\n", "First we learn to write portfolio values, i.e. $ V_t = \\sum_{i=0}^d H^i_tS^i_t $ as P & L processes in case the portfolio is self-financing. Self-financing means that\n", "$$\n", "\\sum_{i=0}^d H^i_{t+1}S^i_t = \\sum_{i=0}^d H^i_tS^i_t \\, ,\n", "$$\n", "which in turn leads to\n", "$$\n", "V_{t+1} - V_t = \\sum_{i=0}^d H^i_{t+1} (S^i_{t+1} - S^i_{t}) \\, .\n", "$$\n", "This means that the change in value of the portfolio comes from the change in value of the prices and nothing else.\n", "\n", "This formula allows for a simplification. If we divide everything by the value of $S^0$, the price of the $0$-th asset, then in the above sum one term vanishes. We denote $ X^i_t = S^i_t/S^0_t $\n", "When discounted, e.g. by $S^0$, this means\n", "$$\n", "\\frac{V_t}{S^0_t} - \\frac{V_0}{S^0_0} = (H \\bullet X)_t = \\sum_{s \\leq t} \\sum_{i=1}^d H^i_{t+1} (X^i_{s+1} - X^i_{s})\\, .\n", "$$\n", "Notice that the inner sum only starts at $1$ because $ X^0_t = 1 $.\n", "\n", "The right hand side is a P & L process. The argument can be turned around: given a portfolio value which is given by a constant plus a P & L process, then we can of course construct a self-financing portfolio." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Consider now a one period case: we can ask whether arbitrages are possible and under which conditions (for which price) payoffs can be dominated (super-hedged) by self-financing portfolios." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### A model is free of arbitrage if there is no self-financing portfolio which starts at zero and has a positive outcome" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### We assume from now on that any positive outcome of a self-financing portfolio cannot come for free, i.e. the initial capital $x$ has to be positive, too." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This leads us the valuation problem: what is the value of a payoff $f$ at time $T$? We can answer that by constructing appropriate (super-)hedging portfolios. Superhedging just means hear \"dominating\".\n", "\n", "Let us consider this question in a one period case, i.e. $T=1$. The states of the world are denoted by $\\omega$, hence we are interested in the question to find the smallest $ x $ such that for all $ \\omega $\n", "$$\n", "f(\\omega) \\leq x + \\sum_{i=1}^d H_0^i (X^i_1(\\omega)-X^i_0(\\omega)) \\, .\n", "$$\n", "This is equivalent to characterize the cone $ C:= \\{ (H \\bullet X)_1 - g \\text{ for all possible strategies } H \\text{ and } g \\geq 0\\} $." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is a geometric question: the solution is $ C = \\{ e \\text{ such that } E_Q[e] \\leq 0 \\text{ for all equivalent martingale measures } $Q$\\} $. This yields the beautiful formula\n", "$$\n", "\\sup_{Q \\in \\mathcal{M}} E_Q[f] = \\inf \\{x \\text{ such that there is a strategy } H \\text{ with } f \\leq x + (H \\bullet X)_1 \\} \\, .\n", "$$\n", "The set $\\mathcal{M} $ is the set of equivalent martingale measures. A super-hedging portfolio is a self-financing portfolio (i.e. the value process is the initial value of the portfolio plus the P&L process -- all in discounted terms) dominating a certain payoff." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have seen in one step bi- and tri-nomial models that pricing and hedging are in a fundamental duality relationship given a certain payoff: the largest arbitrage free price equals the smallest price of a super-hedging portfolio. Superhedging prices can be calculated by backwards induction." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### This yields the following pricing formula: if a payoff's contract is liquidly traded at price $ \\pi_t(f) $ at intermediate times $ t $, then there exists an equivalent martingale measure for the given market constituted by $X^1,\\dots,X^d$ such that\n", "$$\n", "E_Q\\big[ \\frac{f}{S^0_T} | \\mathcal{F}_t \\big] = \\frac{\\pi_t(f)}{S^0_t} .\n", "$$\n", "Let us consider these principles in the following modeling situations. Furthermore models are free of arbitrage if and only if there exists an equivalent pricing measure, which associates in particular to P & L processes the value $0$. Whence prices of payoffs can be calculated by taking expectations (i.e. a Monte Carlo evaluation is possible) with respect to this equivalent pricing measure.\n", "\n", "\n", "First we draw the tree in undiscounted terms in the format time / numeraire / stock price. For simplicity we take the numeraire equal to $1$ but one can easily adapt that. Next the draw the tree in discounted terms in the format time / price. " ] }, { "cell_type": "code", "execution_count": 117, "metadata": {}, "outputs": [ { "data": { "image/png": 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ylEJeXh6WLVtmmBunMucfOnQo9uzZg8zMTOzbtw/BwcFISUnBI488AgDodHlF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\natUSADJr1qwKff7NN9+UQYMGlXtcXFy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"text/plain": [ "" ] }, "execution_count": 117, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "from itertools import product\n", "\n", "\n", "# EUROPEAN\n", "S0 = 100.\n", "u = 1.2\n", "d = 0.9\n", "payoffE = lambda S: np.maximum(S-S0,0.)\n", "\n", "timesteps = 2\n", "bin = set((0,1))\n", "trajectories = set(product(bin, repeat = timesteps))\n", "\n", "\n", "import pygraphviz as PG\n", "from IPython.display import Image\n", "binomialtreeforward = PG.AGraph(directed=True, strict=True)\n", "binomialtreeforward.edge_attr.update(len='2.0',color='blue')\n", "binomialtreeforward.node_attr.update(color='red')\n", "binomialtreeforwarddiscounted = PG.AGraph(directed=True, strict=True)\n", "binomialtreeforwarddiscounted.edge_attr.update(len='2.0',color='blue')\n", "binomialtreeforwarddiscounted.node_attr.update(color='red')\n", "binomialtreebackward = PG.AGraph(directed=True, strict=True)\n", "binomialtreebackward.edge_attr.update(len='2.0',color='blue')\n", "binomialtreebackward.node_attr.update(color='red')\n", "process = {(omega,0):S0 for omega in trajectories}\n", "numeraire = {(omega,0):1. for omega in trajectories}\n", "discountedprocess = {(omega,0):S0 for omega in trajectories}\n", "\n", "#construct process by forward steps\n", "for time in range(1,timesteps+1):\n", " for omega in trajectories:\n", " shelper = process[(omega,time-1)]*u**(omega[time-1])*d**(1.-omega[time-1])\n", " process.update({(omega,time):shelper})\n", " \n", "for time in range(1,timesteps+1):\n", " for omega in trajectories:\n", " #shelper = process[(omega,time-1)]*u**(omega[time-1])*d**(1.-omega[time-1])\n", " numeraire.update({(omega,time):1.0})\n", " \n", "for time in range(1,timesteps+1):\n", " for omega in trajectories:\n", " binomialtreeforward.add_edge('%d / %d / %d'% (time-1,numeraire[(omega,time-1)],process[(omega,time-1)]),\n", " '%d / %d / %d'% (time,numeraire[(omega,time)],process[(omega,time)]))\n", "\n", "#for time in range(1,timesteps+1):\n", "# for omega in trajectories:\n", "# binomialtreeforward.add_edge('%d, %d'% (time-1,numeraire[(omega,time-1)]),'%d, %d'% (time,numeraire[(omega,time)]))\n", "\n", "Image(binomialtreeforward.draw(format='png',prog='dot')) " ] }, { "cell_type": "code", "execution_count": 118, "metadata": {}, "outputs": [ { "data": { "image/png": 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7/pYtWzB16lRkZWVh7ty5mDt3Lr755hu89957WLdunfXH1IQII0rattXm+PaK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\n8tkaIvR7rV0L/PUXX8vK4nb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"text/plain": [ "" ] }, "execution_count": 118, "metadata": {}, "output_type": "execute_result" } ], "source": [ "for time in range(0,timesteps+1):\n", " for omega in trajectories:\n", " shelper = process[(omega,time)]/numeraire[(omega,time)]\n", " discountedprocess.update({(omega,time):shelper})\n", " \n", "for time in range(1,timesteps+1):\n", " for omega in trajectories:\n", " binomialtreeforwarddiscounted.add_edge('%d / %d'% (time-1,discountedprocess[(omega,time-1)]),'%d / %d'% (time,discountedprocess[(omega,time)]))\n", "\n", "#for time in range(1,timesteps+1):\n", "# for omega in trajectories:\n", "# binomialtreeforward.add_edge('%d, %d'% (time-1,numeraire[(omega,time-1)]),'%d, %d'% (time,numeraire[(omega,time)]))\n", "\n", "\n", "Image(binomialtreeforwarddiscounted.draw(format='png',prog='dot')) " ] }, { "cell_type": "code", "execution_count": 101, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def condprob(omega,time): \n", " omegahelperu = list(omega)\n", " omegahelperd = list(omega)\n", " omegahelperu[time]=1\n", " omegahelperd[time]=0\n", " omegahelperu = tuple(omegahelperu)\n", " omegahelperd = tuple(omegahelperd)\n", " return (discountedprocess[(omega,time)]-discountedprocess[(omegahelperd,time+1)])/(discountedprocess[(omegahelperu,time+1)]-discountedprocess[(omegahelperd,time+1)])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The previous function calculates the conditional probabilities which make the process at each node a martingale. Finally the price of a Eurpean Call payoff is calculated in a backwards manner. The tree is drawn in the format time / stock price / derivative price." ] }, { "cell_type": "code", "execution_count": 102, "metadata": {}, "outputs": [ { "data": { "image/png": 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dYTLJV9pkKtsI8+WXwPjxNfxBubmSgQJAerpcFhWV7ZKsquwC9PKvMlWVP+XL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\nwoDU7t3cdt111KS0NBpOEogSBO9TVUW7Yc8eatbBg2zVSku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"text/plain": [ "" ] }, "execution_count": 102, "metadata": {}, "output_type": "execute_result" } ], "source": [ "processbackward = {(omega,timesteps):(payoffE(process[(omega,timesteps)])/numeraire[(omega,timesteps)]) for omega in trajectories}\n", "#backwardssteps: European\n", "for time in reversed(range(0,timesteps)):\n", " for omega in trajectories:\n", " shelper=0 \n", " omegahelperu = list(omega)\n", " omegahelperd = list(omega)\n", " omegahelperu[time]=1\n", " omegahelperd[time]=0\n", " omegahelperu = tuple(omegahelperu)\n", " omegahelperd = tuple(omegahelperd)\n", " shelper = processbackward[(omegahelperu,time+1)]*condprob(omega,time)+processbackward[(omegahelperd,time+1)]*(1-condprob(omega,time))\n", " processbackward.update({(omega,time):shelper})\n", "\n", "for time in range(1,timesteps+1):\n", " for omega in trajectories:\n", " binomialtreebackward.add_edge('%d / %f / %f'% (time-1,discountedprocess[(omega,time-1)],processbackward[(omega,time-1)]),'%d / %f / %f'% (time,discountedprocess[(omega,time)],processbackward[(omega,time)]))\n", "\n", "Image(binomialtreebackward.draw(format='png',prog='dot')) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we shall see the concepts of pricing and hedging realized in a geometric Brownian motion market environment. We shall use code from https://github.com/yhilpisch/dx for this purpose." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import dx\n", "import datetime as dt\n", "import pandas as pd\n", "import seaborn as sns; sns.set()\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First we shall define some market environment:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "r = dx.constant_short_rate('r', 0.)\n", " # a constant short rate\n", "\n", "cas_1 = dx.market_environment('cas', dt.datetime(2016, 1, 1))\n", " \n", "cas_1.add_constant('initial_value', 100.)\n", " # starting value of simulated processes\n", "cas_1.add_constant('volatility', 0.2)\n", " # volatiltiy factor\n", "cas_1.add_constant('final_date', dt.datetime(2017, 1, 1))\n", " # horizon for simulation\n", "cas_1.add_constant('currency', 'EUR')\n", " # currency of instrument\n", "cas_1.add_constant('frequency', 'D')\n", " # frequency for discretization\n", "cas_1.add_constant('paths', 10000)\n", " # number of paths\n", "cas_1.add_curve('discount_curve', r)\n", " # number of paths" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us introduce a geometric Brownian motion in the above market environment." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "gbm_cas_1 = dx.geometric_brownian_motion('gbm_1', cas_1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can obtain one trajectory generated on the predefined weekly time grid of GBM." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "paths_gbm_cas_1 = pd.DataFrame(gbm_cas_1.get_instrument_values(), index=gbm_cas_1.time_grid)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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/bIizvUFiySy7vVUo+dqV43lVcV9/iFgyi9M2W9izdzTKF398qvh7S62L99/n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\nwmFIJvGufxf3DTcNk7CNlRMwllfiXfsWgxs3DPuRngq+je/je08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6GTOxrX8ffcGMcJT2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aefjsmJyqTF1UadvYFc85lHm6cYG1ViInKDEXdFBUH3QHjxNx5Ev5/uf7xCSBQxLlyMXHt2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\nm8AYrfVhT8dzLhfD/u40Et+fnc4Xu1JqPcZ7c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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "paths_gbm_cas_1.loc[:, :10].plot(legend=False, figsize=(10, 6))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we define a new market enviroment which inherits from the previous one but has an additional Europen call option." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "strike = 95.\n", "cas_1_opt = dx.market_environment('cas_1_opt', cas_1.pricing_date)\n", "cas_1_opt.add_environment(cas_1)\n", "cas_1_opt.add_constant('maturity', dt.datetime(2017, 1, 1))\n", "cas_1_opt.add_constant('strike', strike)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "eur_call = dx.valuation_mcs_european_single(\n", " name='eur_call',\n", " underlying=gbm_cas_1,\n", " mar_env=cas_1_opt,\n", " payoff_func='np.maximum(maturity_value - strike, 0)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The present value of the European call is uniquely given by no arbitrage arguments." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "10.479573" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eur_call.present_value()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The delta is the sensitivity with respect to the initial value." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.6415" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eur_call.delta()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The gamma is the sensitivity of the delta with respect to the initial value." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.0176" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eur_call.gamma()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The vega is the sensitivity with respect to volatility." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "37.1156" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eur_call.vega()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The theta is sensitivity with respect to maturity." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "-4.2138" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eur_call.theta()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The rho is sensitivity with respect to interest rate." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "53.6878" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eur_call.rho()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The previous quantities allow to understand the risks of the given derivative from the point of view of the chosen model in terms of sensitivities." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the sequel we demonstrate the precise meaning of the option's delta by means of a running hedging portfolio." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": true }, "outputs": [], "source": [ "path = gbm_cas_1.get_instrument_values()[:,0]\n", "timegrid = gbm_cas_1.time_grid\n", "presentvalue = eur_call.present_value()\n", "n = len(path)\n", "pnl = [presentvalue]\n", "optionvalue = [np.maximum(0,path[0]-eur_call.strike)]" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true }, "outputs": [], "source": [ "for i in range(n-1):\n", " r = dx.constant_short_rate('r', 0.)\n", " # a constant short rate\n", "\n", " running = dx.market_environment('running', timegrid[i])\n", " \n", " running.add_constant('initial_value', path[i])\n", " # starting value of simulated processes\n", " running.add_constant('volatility', 0.2)\n", " # volatiltiy factor\n", " running.add_constant('final_date', dt.datetime(2017, 1, 1))\n", " # horizon for simulation\n", " running.add_constant('currency', 'EUR')\n", " # currency of instrument\n", " running.add_constant('frequency', 'W')\n", " # frequency for discretization\n", " running.add_constant('paths', 10000)\n", " # number of paths\n", " running.add_curve('discount_curve', r)\n", " # number of paths\n", " gbm_running = dx.geometric_brownian_motion('gbm_running', running)\n", " opt_running = dx.market_environment('opt_running', running.pricing_date)\n", " opt_running.add_environment(running)\n", " opt_running.add_constant('maturity', dt.datetime(2017, 1, 1))\n", " opt_running.add_constant('strike', strike)\n", " eur_call = dx.valuation_mcs_european_single(\n", " name='eur_call',\n", " underlying=gbm_running,\n", " mar_env=opt_running,\n", " payoff_func='np.maximum(maturity_value - strike, 0)')\n", " #print(path[i])\n", " #print(timegrid[i])\n", " #print(eur_call.delta())\n", " pnl = pnl + [pnl[-1]+eur_call.delta()*(path[i+1]-path[i])]\n", " optionvalue = optionvalue + [np.maximum(0,path[i+1]-eur_call.strike)]" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "data = []\n", "for j in range(n):\n", " data = data + [[optionvalue[j],pnl[j]]]" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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GEJaOrTVqsS4sjLU8z6LW1VheOtKoajUEV9FUgkuh2Ajr6VJ8GFiuzUbZQCg2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i2cAMAp+Dg+rw7Xuaq7wDWfXCKRytK/yvY55WcorqVrRYfLDU+hxgCt8UbGZ1Kn3X7YW25ib38z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\n53Als4t1f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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "paths_hedge = pd.DataFrame(data, index=gbm_cas_1.time_grid)\n", "%matplotlib inline\n", "paths_hedge.loc[:,:].plot(legend=True, figsize=(10, 6))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "# Interest rate terminology" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Prices of zero-coupon bonds (ZCB) with maturity $ T $ are denoted by $P(t,T)$. Interest rates are governed by a market of (default free) zero-coupon bonds modeled by stochastic processes \n", "$ {(P(t,T))}_{0 \\leq t \\leq T} $ for $ T \\geq 0 $. We assume the normalization $ P(T,T)=1 $." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$T$ denotes the maturity of the bond, $P(t,T)$ its price at a time $t$ before maturity $T$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The yield\n", "$$\n", "Y(t,T) = - \\frac{1}{T-t} \\log P(t,T)\n", "$$\n", "describes the compound interest rate p.a. for maturity $T$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The curve $f$ is called the forward rate curve of the bond market\n", "\\begin{align*}\n", "P(t,T) & =\\exp(-\\int_{t}^{T}f(t,s)ds)\n", "\\end{align*}\n", "for $0\\leq t\\leq T$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us understand a bit the dynamics of yield curves and forward rate curves at this point:" ] }, { "cell_type": "code", "execution_count": 147, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using matplotlib backend: TkAgg\n", "Populating the interactive namespace from numpy and matplotlib\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/scratch/users/jteichma/.local/lib/python3.6/site-packages/IPython/core/magics/pylab.py:160: UserWarning: pylab import has clobbered these variables: ['product']\n", "`%matplotlib` prevents importing * from pylab and numpy\n", " \"\\n`%matplotlib` prevents importing * from pylab and numpy\"\n" ] } ], "source": [ "from mpl_toolkits.mplot3d import Axes3D\n", "import copy as copylib\n", "from progressbar import *\n", "%pylab\n", "%matplotlib inline\n", "import pandas as pandas\n", "pylab.rcParams['figure.figsize'] = (16, 4.5)\n", "numpy.random.seed(0);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First we load some historical data:" ] }, { "cell_type": "code", "execution_count": 148, "metadata": { "collapsed": true }, "outputs": [], "source": [ "dataframe = pandas.read_csv('hjm_data.csv')" ] }, { "cell_type": "code", "execution_count": 152, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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1264 rows × 51 columns

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0.000612 0.000598 0.000584 ... 0.000327 0.000333 0.000339 \n", "3 0.000606 0.000593 0.000579 ... 0.000313 0.000319 0.000325 \n", "4 0.000598 0.000585 0.000572 ... 0.000301 0.000307 0.000312 \n", "... ... ... ... ... ... ... ... \n", "1259 0.000439 0.000442 0.000443 ... 0.000403 0.000401 0.000399 \n", "1260 0.000440 0.000442 0.000444 ... 0.000403 0.000401 0.000400 \n", "1261 0.000453 0.000456 0.000457 ... 0.000413 0.000411 0.000410 \n", "1262 0.000453 0.000455 0.000457 ... 0.000411 0.000410 0.000408 \n", "1263 0.000447 0.000449 0.000451 ... 0.000407 0.000405 0.000404 \n", "\n", " 22 22.5 23 23.5 24 24.5 25 \n", "0 0.000360 0.000366 0.000373 0.000379 0.000386 0.000392 0.000399 \n", "1 0.000358 0.000365 0.000372 0.000380 0.000387 0.000395 0.000402 \n", "2 0.000345 0.000352 0.000359 0.000365 0.000372 0.000379 0.000386 \n", "3 0.000331 0.000337 0.000344 0.000351 0.000358 0.000365 0.000372 \n", "4 0.000319 0.000325 0.000332 0.000338 0.000345 0.000353 0.000360 \n", "... ... ... ... ... ... ... ... \n", "1259 0.000398 0.000397 0.000396 0.000395 0.000394 0.000393 0.000392 \n", "1260 0.000399 0.000397 0.000396 0.000395 0.000394 0.000393 0.000392 \n", "1261 0.000408 0.000407 0.000406 0.000405 0.000404 0.000403 0.000402 \n", "1262 0.000407 0.000406 0.000405 0.000404 0.000403 0.000402 0.000402 \n", "1263 0.000402 0.000401 0.000400 0.000399 0.000398 0.000397 0.000396 \n", "\n", "[1264 rows x 51 columns]" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dataframe = dataframe/ 100 # Convert interest rates\n", "pandas.options.display.max_rows = 10\n", "display(dataframe)" ] }, { "cell_type": "code", "execution_count": 153, "metadata": { "collapsed": true }, "outputs": [], "source": [ "hist_timeline = list(dataframe.index)\n", "tenors = [float(x) for x in dataframe.columns]\n", "hist_rates=matrix(dataframe)" ] }, { "cell_type": "code", "execution_count": 158, "metadata": {}, "outputs": [ { "data": { "image/png": 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0nZE1z9N92y3o0ShJ/zDDT/ydpN8/qcypjO3cQXLk6Hn1RILgw4+gJBL88d7v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\n02X+JLWIWhEdcfq7Azx49z4UUSWmyagbKelHTkbQm6sRRAlJO8XJ3Ka+V3f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Dq3nk5Q6W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RJjlsALgoChxEiwx0/PSICxyQiCCKU2PXc01XDEM8GLvd3MErKTDZJWvaekVJlwIuJB1JgR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\nkrj7AVCWuH0x8JhpmkHTNGuBGlScILHCQSLB7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Jzgp/DBgneurzpdiyPUqpRmAI+LLWuuUW+r/qmKbJ4Tc6aDs7SASTyrmDVI71M5GRROYT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xA0GW8GWSxmXBeyWPzrRQjBgZ1ke395NiaIBYoErZLJW+aQFf8jwsnnkBbd0czFWcZXMxewJx6P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\nJEnqHMOuJEmSJKlz/gN4mBrpkCDYYAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(hist_rates[:,0:10]), xlabel(r'Time $t$'), title(r'Historical $f(t,\\tau)$ by $t$'), show()\n", "plot(tenors, hist_rates.transpose()[:,0:10]), xlabel(r'Tenor $\\tau$'), title(r'Historical $f(t,\\tau)$ by $\\tau$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In a next step we look at returns for a certain maturity:" ] }, { "cell_type": "code", "execution_count": 159, "metadata": {}, "outputs": [ { "data": { "image/png": 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kboWyqbrDzyxd3gCvbz2F2w1/+tcfHnd6cSuO5dhUlJSPP3MiKWoZniWaety8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MAAAg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\nM+wLRMA9BizgfHh6CkNmkjyNkeu6VKxeQM/pbmpKRv/OuOrA/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "diff_rates = diff(hist_rates, axis=0)\n", "assert(hist_rates.shape[1]==diff_rates.shape[1])\n", "plot(diff_rates[:,0:10]), xlabel(r'Time $t$'), title(r'$df(t,\\tau)$ by $t$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This demonstrates impressively the complexity and beauty of interest rate behaviour." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### We are now applying our principles from the first general part to this large market. We use extensively that we can choose the asset $S^0$ for our convenience. In different market situations we can have different ways of discounting. We shall see two: discounting by the bank account process and discounting by a (forward) bond $ P(t,T^*) $. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The short rate process is given through $R_{t}=f(t,t)$ for $t\\geq0$ defining the \"bank acco\n", "unt process\"\n", "$$\n", "(B(t))_{t \\geq 0}:=(\\exp(\\int_{0}^{t}R_{s}ds))_{t \\geq 0}.\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Consider now $ P(t,T) $ as price of a contract which promises $ 1 $ at time $ T $ and do the discounting with $ S^0 $ equal the bank account process." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "No arbitrage is then guaranteed if on the filtered probability space $ (\\Omega,\\mathcal{F},Q) $ with filtration\n", "$ {(\\mathcal{F}_t)}_{t \\geq 0} $,\n", "$$\n", "E(\\exp(-\\int_t^T R_s ds)|\\mathcal{F}_t) = P(t,T)\n", "$$\n", "holds true for $ 0 \\leq t \\leq T $ for some equivalent (martingale) measure $ Q $." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is a useful and important approach but not feasible for many market situations. There it is better to take another discounting unit." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Consider a bond market $(P(t,T))_{t \\leq T}$ with $P(T,T) = 1$ and $P(t,T) > 0$. Let $t \\leq T \\leq T^{\\ast}$. We define the simple forward rate through\n", "\\begin{align*}\n", "F(t;T,T^{\\ast}) := \\frac{1}{T^{\\ast} - T} \\bigg( \\frac{P(t,T)}{P(t,T^{\\ast})} - 1 \\bigg).\n", "\\end{align*}\n", "and the simple spot rate through\n", "\\begin{align*}\n", "F(t,T) := F(t;t,T).\n", "\\end{align*}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Apparently $P(t,T^{\\ast}) F(t;T,T^{\\ast})$ is first a traded portfolio (long in the $T$ bond and short in the $T^*$ bond) and the fair value at time $t$ of a contract paying $F(T,T^{\\ast})$ at time $T^{\\ast}$, since $ P(T^*,T^*) = 1 $.\n", "\n", "Indeed, note that\n", "\\begin{align*}\n", "P(t,T^{\\ast}) F(t;T,T^{\\ast}) &= \\frac{P(t,T) - P(t,T^{\\ast})}{T^{\\ast} - T},\n", "\\\\ F(T,T^{\\ast}) &= \\frac{1}{T^{\\ast} - T} \\bigg( \\frac{1}{P(T,T^{\\ast})} - 1 \\bigg).\n", "\\end{align*}\n", "Fair value means that we can build a portfolio at time $ t $ and at price $ \\frac{P(t,T) - P(t,T^{\\ast})}{T^{\\ast} - T} $ yielding $ F(T,T^{\\ast}) $ at time $ T^{\\ast} $:\n", "\n", "-> Holding a ZCB with maturity $ T $ at time $ t $ has value $ P(t,T) $, being additionally short in a ZCB with maturity $ T^{\\ast} $ amounts all together to $P(t,T) - P(t,T^{\\ast})$.\n", "\n", "-> at time $T$ we have to rebalance the portfolio by buying with the maturing ZCB another bond with maturity $ T^{\\ast} $, precisely an amount $ 1/P(T,T^{\\ast}) $. \n", "\n", "-> at time $ T^{\\ast} $ we receive $ 1/P(T,T^{\\ast}) - 1 $." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this setup it is of course much better to take $ S^0 $ the $ T^*$ bond and to have $ X_t = F(t,T,T^*) $ as discounted price with respect to $ S^0 $. We can use all models for discounted prices like the binomial model or the Black-Scholes model for this situation.\n", "\n", "In the sequel we apply the binomial tree model with one timestep with a simple forward rate process and the foward bond starting at $0.9$ and terminating at $1$. Here discounting matters what you can see in the difference between the first (format time / numeraire / foward rate time $T^*$ bond) and second tree (format time / simple forward rate)." ] }, { "cell_type": "code", "execution_count": 129, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "execution_count": 129, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "from itertools import product\n", "\n", "\n", "# EUROPEAN\n", "F0 = 0.04\n", "u = 2\n", "d = 0.5\n", "payoffE = lambda F: np.maximum(F-F0,0.)\n", "\n", "timesteps = 1\n", "bin = set((0,1))\n", "trajectories = set(product(bin, repeat = timesteps))\n", "\n", "\n", "import pygraphviz as PG\n", "from IPython.display import Image\n", "binomialtreeforward = PG.AGraph(directed=True, strict=True)\n", "binomialtreeforward.edge_attr.update(len='2.0',color='blue')\n", "binomialtreeforward.node_attr.update(color='red')\n", "binomialtreeforwarddiscounted = PG.AGraph(directed=True, strict=True)\n", "binomialtreeforwarddiscounted.edge_attr.update(len='2.0',color='blue')\n", "binomialtreeforwarddiscounted.node_attr.update(color='red')\n", "binomialtreebackward = PG.AGraph(directed=True, strict=True)\n", "binomialtreebackward.edge_attr.update(len='2.0',color='blue')\n", "binomialtreebackward.node_attr.update(color='red')\n", "process = {(omega,0):F0 for omega in trajectories}\n", "numeraire = {(omega,0):0.9 for omega in trajectories}\n", "discountedprocess = {(omega,0):F0 for omega in trajectories}\n", "\n", "#construct process by forward steps\n", "for time in range(1,timesteps+1):\n", " for omega in trajectories:\n", " shelper = process[(omega,time-1)]*u**(omega[time-1])*d**(1.-omega[time-1])\n", " process.update({(omega,time):shelper})\n", " \n", "for time in range(1,timesteps+1):\n", " for omega in trajectories:\n", " #shelper = process[(omega,time-1)]*u**(omega[time-1])*d**(1.-omega[time-1])\n", " numeraire.update({(omega,time):1.0})\n", " \n", "for time in range(1,timesteps+1):\n", " for omega in trajectories:\n", " binomialtreeforward.add_edge('%d / %f / %f'% (time-1,numeraire[(omega,time-1)],process[(omega,time-1)]),\n", " '%d / %f / %f'% (time,numeraire[(omega,time)],process[(omega,time)]))\n", "\n", "#for time in range(1,timesteps+1):\n", "# for omega in trajectories:\n", "# binomialtreeforward.add_edge('%d, %d'% (time-1,numeraire[(omega,time-1)]),'%d, %d'% (time,numeraire[(omega,time)]))\n", "\n", "Image(binomialtreeforward.draw(format='png',prog='dot')) " ] }, { "cell_type": "code", "execution_count": 130, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "execution_count": 130, "metadata": {}, "output_type": "execute_result" } ], "source": [ "for time in range(0,timesteps+1):\n", " for omega in trajectories:\n", " shelper = process[(omega,time)]/numeraire[(omega,time)]\n", " discountedprocess.update({(omega,time):shelper})\n", " \n", "for time in range(1,timesteps+1):\n", " for omega in trajectories:\n", " binomialtreeforwarddiscounted.add_edge('%d / %f'% (time-1,discountedprocess[(omega,time-1)]),'%d / %f'% (time,discountedprocess[(omega,time)]))\n", "\n", "#for time in range(1,timesteps+1):\n", "# for omega in trajectories:\n", "# binomialtreeforward.add_edge('%d, %d'% (time-1,numeraire[(omega,time-1)]),'%d, %d'% (time,numeraire[(omega,time)]))\n", "\n", "\n", "Image(binomialtreeforwarddiscounted.draw(format='png',prog='dot')) " ] }, { "cell_type": "code", "execution_count": 127, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def condprob(omega,time): \n", " omegahelperu = list(omega)\n", " omegahelperd = list(omega)\n", " omegahelperu[time]=1\n", " omegahelperd[time]=0\n", " omegahelperu = tuple(omegahelperu)\n", " omegahelperd = tuple(omegahelperd)\n", " return (discountedprocess[(omega,time)]-discountedprocess[(omegahelperd,time+1)])/(discountedprocess[(omegahelperu,time+1)]-discountedprocess[(omegahelperd,time+1)])" ] }, { "cell_type": "code", "execution_count": 131, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "execution_count": 131, "metadata": {}, "output_type": "execute_result" } ], "source": [ "processbackward = {(omega,timesteps):(payoffE(process[(omega,timesteps)])/numeraire[(omega,timesteps)]) for omega in trajectories}\n", "#backwardssteps: European\n", "for time in reversed(range(0,timesteps)):\n", " for omega in trajectories:\n", " shelper=0 \n", " omegahelperu = list(omega)\n", " omegahelperd = list(omega)\n", " omegahelperu[time]=1\n", " omegahelperd[time]=0\n", " omegahelperu = tuple(omegahelperu)\n", " omegahelperd = tuple(omegahelperd)\n", " shelper = processbackward[(omegahelperu,time+1)]*condprob(omega,time)+processbackward[(omegahelperd,time+1)]*(1-condprob(omega,time))\n", " processbackward.update({(omega,time):shelper})\n", "\n", "for time in range(1,timesteps+1):\n", " for omega in trajectories:\n", " binomialtreebackward.add_edge('%d / %f / %f'% (time-1,discountedprocess[(omega,time-1)],processbackward[(omega,time-1)]),'%d / %f / %f'% (time,discountedprocess[(omega,time)],processbackward[(omega,time)]))\n", "\n", "Image(binomialtreebackward.draw(format='png',prog='dot')) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In order to get prices back one has to multiply this tree with the corresponding numeraire prices, hence the actual caplet price will be $ 0.016296 * 0.9 $.\n", "\n", "As an example we introduce a particular short rate model, the so called Cox Ingersoll Ross model or squared diffusion model. We define a second market environment and calculate zero coupon bond prices with respect to this model:" ] }, { "cell_type": "code", "execution_count": 132, "metadata": { "collapsed": true }, "outputs": [], "source": [ "cas_2 = dx.market_environment(name='cas_2', pricing_date=dt.datetime(2015, 1, 1))\n", "cas_2.add_constant('initial_value', 0.04)\n", "cas_2.add_constant('volatility', 0.2)\n", "cas_2.add_constant('kappa', 1.0)\n", "cas_2.add_constant('theta', 0.05)\n", "cas_2.add_constant('paths', 10000)\n", "cas_2.add_constant('frequency', 'W')\n", "cas_2.add_constant('starting_date', cas_2.pricing_date)\n", "cas_2.add_constant('final_date', dt.datetime(2015, 12, 31))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We next define our model:" ] }, { "cell_type": "code", "execution_count": 133, "metadata": { "collapsed": true }, "outputs": [], "source": [ "ssr = dx.stochastic_short_rate('sr', cas_2)" ] }, { "cell_type": "code", "execution_count": 134, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import seaborn as sns; sns.set()\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 135, "metadata": {}, "outputs": [ { "data": { "image/png": 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inn1SEgmTlW0YU+MYQQGKE+PHX8u3mrl3SQYv1XfydHUb3yzLv2y0MVQOj49B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mVJeL243noDAO+JY2hq6zDeuQ/t2sZ5s4GBeIKxQISxQITRQJjJYJTENW3aGpkUayjKf+8a57Hy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\npsuu6JRx1RyuvFwq3nkTX2UlSlM0glyOt6Ic7VAzcYv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dgTPXQs1nn+AuyD/uO9nhmq2a\nwaloUoegGTwYua5jqSV8VivWFcuxrV2N5PUiNxoJP+tsGjN34i7Ix3Tl1YTPPqtTv2Wgjv2gkdUM\nA/Vi9xeC+u89ukP3ATHAz8W/8kPBSnyin1GRw7jcfBERmo5tKxzB5XdR7aqlxlVHjauWamctmdVZ\nuPxuwtShnDvoTE6Jm4Rc1r0FzbuSk3XsB8QAL+56nbz6fC5IPYezB3VfmgwAp8/F9spdbCrfSpG9\nFIAQlZFFk69mkKrri4x3J5Ik0bh9Gw0b16M0mdAMHoImdQjK6OguN1b99gbqV62k/pdVTQFNgHHq\ntKbi6J3sa6CO/aCR1QwD9WL3F4L67z26U/fVzlqWWr7AYj2ASq7igtRzOD1xWrMrTJIk4fK7qffY\njr6OGFNH3h1+53Hn6RU65gw6gxkJ01D1AYf79nIyj327t5HHtj2PzdPA7WNvZGQXryZJksSB+nw2\nlm8js2oPPtGHTJAxMnIY0+MnMyLCTGxM2Emr//YQcDqxrfkFX00Npiuualet2JYYqGM/aGQ1w0C9\n2P2FoP57j+7WvSRJbK3YyRd53+LwO0kxJpERO54Gr/2wMdVAvaeeek8D3kDzJTYUgpxIbQRR2kii\njrxrmt5NuiiUsp4ra9TVnOxjv7ChmGd2voJSpuTucTcTpg5DIZMjF+RH31taMRElEW/Ah088/Ar4\n8Ip+fKKPA/X5bCrbRpWrKYrPpI1kWtxkpsRNPCb/1cmu/95koOq+NSOr/85UQYIE6ZMIgsCUuImM\niDTzRd63bKvMpNBefMwxBqWeaG0UYepQwtQhh99DidRGYNJGEqoO6Rf+VUHaT0pIEleYF/BBzqc8\nsf3FZo+RC3LkMjkKQY5MkOEXA/hEHwGp9XJiSpmCybETmBaXQVpYap8OgAhychA0soIECdItGFUG\nrh95JTMSp1Hnth41pELVIf16JSpI55kaNwlJEsmrzycgBvBLAfyi//Bn/9G/BcQAASmAQqZAKVOi\nlClQyVWHPytRyRVHP0dpI5gQPbbPJccNcnITnOmCBAnSraSGppAamtLbYgTpY0yLn8y0+Mm9LUaQ\nIN1KcD0+SJAgQYIECRKkGwgaWUGCBAkSJEiQIN1A0MgKEiRIkCBBggTpBoJGVpAgQYIECRIkSDcQ\nNLKCBAkSJEiQIEG6gTZFF5rN5nOA5wE58IbFYnnsd9+rgfeAiUAtcLnFYjl0+LtHgJuAAHCPxWL5\nqcukDxIkSJAgQYIE6aOccCXLbDbLgZeBucAI4Eqz2Tzid4fdBFgtFksa8Czw+OFzRwBXACOBc4DF\nh9sLEiRIkCBBggQZ0LRlu3AycMBiseRbLBYv8DEw/3fHzAfePfz5c2C22WwWDv/9Y4vF4rFYLAXA\ngcPtBQkSJEiQIEGCDGjasl2YAPy2JkYJMKWlYywWi99sNtuAyMN/3/y7cxNa6yw8XIdC0TOLXSaT\nsUf6CdI8Qf33HkHd9y5B/fcuQf33Hieb7ttiZDVX/On3RZxbOqYt5x6D1epsg0idZ6AWquwvBPXf\newR137sE9d+7BPXfewxU3bdmOLZlu7AESPrNvxOBspaOMZvNCiAUqGvjuUGCBAkSJEiQIAOOthhZ\n24B0s9k82Gw2q2hyZF/2u2OWAdcd/nwJ8IvF8v/bu58Qrao4jOPfYTKLCkT7i2NoIA9KlIWEYIRJ\nhJVoiwqjwkXQxqCoCGsjCEJtShdtQiWDahosy1V/sMJW/dECM3nAQsoUZ6NkG2Omt8U9g4NIRcy9\nV977fGB47zlzX/jNOTO/93fvPXOve6V/jaTpkuYB84Gvpyb0iIiIiAvXvxZZtseAJ4GPgUPAiO2D\nkjZKWlV22wbMknQYeAZYX957EBgBfgQ+AtbZHp/6HyMiIiLiwjLQ6/3jEqmIiIiI+B9yx/eIiIiI\nGqTIioiIiKhBiqyIiIiIGqTIioiIiKhBiqyIiIiIGqTIioiIiKjBf3msTl+RtALYAgwCW22/1HJI\nfU3SdmAlMGr7xtI3E3gXmAscAR6yfbKtGPuZpDnAm8C1wF/A67a3ZA7qJ+kSYC8wnSrX7rS9odyY\neRiYCewHHrP9Z3uR9jdJg8C3wG+2V2b8myPpCHAaGAfGbC/uWu7p1Jms8sf2GnAPsBB4WNLCdqPq\ne28AK87pWw/ssT0f2FPaUY8x4FnbC4AlwLryO585qN8ZYLntm4FFwApJS4CXgVfL2J8EHm8xxi54\niupG2hMy/s260/Yi24tLu1O5p1NFFnAbcNj2z+XIZRhY3XJMfc32XqrnWE62GthRtncA9zcaVIfY\nPm57f9k+TfVhM5vMQe1s92z/UZrTylcPWA7sLP0Z+xpJGgLuA7aW9gAZ/7Z1Kvd0rciaDfw6qX20\n9EWzrrF9HKoiALi65Xg6QdJc4BbgKzIHjZA0KOl7YBT4FPgJOFUeVwbJQXXbDDxPdakcYBYZ/yb1\ngE8k7ZP0ROnrVO7pWpE1cJ6+PFco+p6ky4H3gKdt/952PF1he9z2ImCI6kz6gvPslhxUA0kTa0H3\nTerOZ0Czltq+lWqJzjpJd7QdUNO6VmQdBeZMag8Bx1qKpctOSLoOoLyOthxPX5M0jarAesv2+6U7\nc9Ag26eAL6jWxc2QNPFPR8lB9VkKrCqLr4epLhNuJuPfGNvHyusosIvqQKNTuadrRdY3wHxJ8yRd\nDKwBdrccUxftBtaW7bXAhy3G0tfKGpRtwCHbr0z6VuagZpKukjSjbF8K3EW1Ju5z4IGyW8a+JrZf\nsD1key5Vrv/M9iNk/Bsh6TJJV0xsA3cDP9Cx3DPQ63XrTKmke6mOZgaB7bY3tRxSX5P0DrAMuBI4\nAWwAPgBGgOuBX4AHbZ+7OD6mgKTbgS+BA5xdl/Ii1bqszEGNJN1EtbB3kOqAdsT2Rkk3cPYWAt8B\nj9o+016k/U/SMuC5cguHjH8DyjjvKs2LgLdtb5I0iw7lns4VWRERERFN6NrlwoiIiIhGpMiKiIiI\nqEGKrIiIiIgapMiKiIiIqEGKrIiIiIgapMiKiIiIqEGKrIiIiIgapMiKiIiIqMHfg3VatNo3ZFgA\nAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# short rate paths\n", "plt.figure(figsize=(10, 6))\n", "plt.plot(ssr.process.get_instrument_values()[:, :10]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This shows some typical short rate paths in this model. We can also calculate the behaviour of ten typical paths for bond prices in a year. The price far right is of course the bond with one year maturity whose value in a year is $1$. The price far left is the price of one year ahead bond in one year." ] }, { "cell_type": "code", "execution_count": 136, "metadata": {}, "outputs": [ { "data": { "image/png": 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axS8/O87zRwdQ74LpymuJUCYIgiAA3c73i6Vl5otLzJUWWSguUZYqa7drVRqG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\nAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "time_list = ssr.process.time_grid\n", "forward_rates=ssr.get_forward_rates(time_list, 10)\n", "ZCB = ssr.get_discount_factors(time_list, 10)\n", "ZCB = pd.DataFrame(ZCB[1], index=time_list)\n", "%matplotlib inline\n", "ZCB.loc[:,:].plot(legend=True, figsize=(10, 6));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Caps" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the sequel, we fix a number of future dates \n", "\\begin{align*}\n", "T_0 < T_1 < \\ldots < T_n \n", "\\end{align*}\n", "with $T_i - T_{i-1} \\equiv \\delta$.\n", "\n", "Fix a rate $\\kappa > 0$. At time $T_i$ the holder of the cap receives\n", "\\begin{align*}\n", "\\delta (F(T_{i-1},T_i) - \\kappa)^+.\n", "\\end{align*}\n", "Let $t \\leq T_0$. We write\n", "\\begin{align*}\n", "{\\rm Cpl}(t;T_{i-1},T_i), \\quad i=1,\\ldots,n\n", "\\end{align*}\n", "for the time $t$ price of the $i$th caplet, and\n", "\\begin{align*}\n", "{\\rm Cp}(t) = \\sum_{i=1}^n {\\rm Cpl}(t;T_{i-1},T_i)\n", "\\end{align*}\n", "for the time $t$ price of the cap." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Floors " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "At time $T_i$ the holder of the floor receives\n", "\\begin{align*}\n", "\\delta (\\kappa - F(T_{i-1},T_i))^+.\n", "\\end{align*}\n", "Let $t \\leq T_0$. We write\n", "\\begin{align*}\n", "{\\rm Fll}(t;T_{i-1},T_i), \\quad i=1,\\ldots,n\n", "\\end{align*}\n", "for the time $t$ price of the $i$th floorlet, and\n", "\\begin{align*}\n", "{\\rm Fl}(t) = \\sum_{i=1}^n {\\rm Fll}(t;T_{i-1},T_i)\n", "\\end{align*}\n", "for the time $t$ price of the floor." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Swaps" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Fix a rate $K$ and a nominal $N$. The cash flow of a payer swap at $T_i$ is\n", "\\begin{align*}\n", "(F(T_{i-1},T_i) - K) \\delta N.\n", "\\end{align*}\n", "The total value $\\Pi_p(t)$ of the payer swap at time $t \\leq T_0$ is\n", "\\begin{align*}\n", "\\Pi_p(t) = N \\bigg( P(t,T_0) - P(t,T_n) - K \\delta \\sum_{i=1}^n P(t,T_i) \\bigg).\n", "\\end{align*}\n", "The value of a receiver swap at $t \\leq T_0$ is\n", "\\begin{align*}\n", "\\Pi_r(t) = -\\Pi_p(t).\n", "\\end{align*}\n", "The swap rate $R_{\\rm swap}(t)$ is the fixed rate $K$ which gives $\\Pi_p(t) = \\Pi_r(t) = 0$. Hence\n", "\\begin{align*}\n", "R_{\\rm swap}(t) = \\frac{P(t,T_0) - P(t,T_n)}{\\delta \\sum_{i=1}^n P(t,T_i)}, \\quad t \\in [0,T_0].\n", "\\end{align*}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Swaptions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A payer (receiver) swaption is an option to enter a payer (receiver) swap at $T_0$.\n", "The payoff of a payer swaption at $T_0$ is\n", "\\begin{align*}\n", "N \\delta (R_{\\rm swap}(T_0) - K)^+ \\sum_{i=1}^n P(T_0,T_i),\n", "\\end{align*}\n", "and of a receiver swaption\n", "\\begin{align*}\n", "N \\delta (K - R_{\\rm swap}(T_0))^+ \\sum_{i=1}^n P(T_0,T_i).\n", "\\end{align*}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Spot measure" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From now on, let $P$ be a martingale measure in the bond market $(P(t,T))_{t \\leq T}$, i.e. for each $T > 0$ the discounted bond price process\n", "\\begin{align*}\n", "\\frac{P(t,T)}{B(t)}\n", "\\end{align*}\n", "is a martingale. This leads to the following fundamental formula of interest rate theory\n", "$$\n", "P(t,T) = E(\\exp(-\\int_t^T R_s ds)) | \\mathcal{F}_t )\n", "$$\n", "for $ 0 \\leq t \\leq T $." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Forward measures" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For $T^{\\ast} > 0$ define the \\emph{$T^{\\ast}$-forward measure} ${P}^{T^{\\ast}} $ such that for any $T > 0$ the discounted bond price process\n", "\\begin{align*}\n", "\\frac{P(t,T)}{P(t,T^{\\ast})}, \\quad t \\in [0,T]\n", "\\end{align*}\n", "is a ${P}^{T^{\\ast}}$-martingale.\n", "\n", "\n", "For any $T < T^{\\ast}$ the simple forward rate\n", "\\begin{align*}\n", "F(t;T,T^{\\ast}) = \\frac{1}{T^{\\ast} - T} \\bigg( \\frac{P(t,T)}{P(t,T^{\\ast})} - 1 \\bigg)\n", "\\end{align*}\n", "is a $\\mathbb{P}^{T^{\\ast}}$-martingale.\n", "\n", "For any time derivative $X \\in \\mathcal{F}_{T^*}$ paid at $ T^* $ we have that the fair value via ``martingale pricing'' is given through\n", "\\begin{align*}\n", "P(t,T^*) \\mathbb{E}^{T^*}[X | \\mathcal{F}_t].\n", "\\end{align*}\n", "The fair price of the $i$th caplet is therefore given by\n", "\\begin{align*}\n", "{\\rm Cpl}(t;T_{i-1},T_i) = \\delta P(t,T_i) \\mathbb{E}^{T_i} [ (F(T_{i-1},T_i) - \\kappa)^+ | \\mathcal{F}_t].\n", "\\end{align*}\n", "By the martingale property we obtain therefore\n", "\\begin{align*}\n", "\\mathbb{E}^{T_i}[F(T_{i-1},T_i) | \\mathcal{F}_t] = F(t;T_{i-1},T_i),\n", "\\end{align*}\n", "what was proved by trading arguments before." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Black's formula" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let $X \\sim N(\\mu,\\sigma^2)$ and $K \\in \\mathbb{R}_{> 0}$. Then we have\n", "\\begin{align*}\n", "\\mathbb{E}[ (e^X - K)^+ ] &= e^{\\mu + \\frac{\\sigma^2}{2}} \\Phi \\bigg( -\\frac{\\log K - (\\mu + \\sigma^2)}{\\sigma} \\bigg)\n", "- K \\Phi \\bigg( -\\frac{\\log K - \\mu}{\\sigma} \\bigg),\n", "\\\\ \\mathbb{E}[ (K - e^X)^+ ] &= K \\Phi \\bigg( \\frac{\\log K - \\mu}{\\sigma} \\bigg) - e^{\\mu + \\frac{\\sigma^2}{2}} \\Phi \\bigg( \\frac{\\log K - (\\mu + \\sigma^2)}{\\sigma} \\bigg).\n", "\\end{align*}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Black's formula for caps and floors" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Let $t \\leq T_0$. From our previous results we know that \n", "\\begin{align*}\n", "{\\rm Cpl}(t;T_{i-1},T_i) &= \\delta P(t,T_i) \\mathbb{E}_t^{{T_i}} [ (F(T_{i-1},T_i) - \\kappa)^+ ],\n", "\\\\ {\\rm Fll}(t;T_{i-1},T_i) &= \\delta P(t,T_i) \\mathbb{E}_t^{{T_i}} [ (\\kappa - F(T_{i-1},T_i))^+ ],\n", "\\end{align*}\n", "and that $F(t;T_{i-1},T_i)$ is an $P^{T_i}$-martingale.\n", "\n", "We assume that under ${P}^{T_i}$ the forward rate $F(t;T_{i-1},T_i)$ is an exponential Brownian motion\n", "\\begin{align*}\n", "F(t;T_{i-1},T_i) & = F(s;T_{i-1},T_i) \\\\\n", "& \\exp \\bigg( -\\frac{1}{2} \\int_s^t \\lambda(u,T_{i-1})^2 du + \\int_s^t \\lambda(u,T_{i-1}) dW_u^{T_i} \\bigg)\n", "\\end{align*}\n", "for $s \\leq t \\leq T_{i-1}$,\n", "with a function $\\lambda(u,T_{i-1})$. \n", "\n", "We define the variance $\\sigma^2(t)$ as\n", "\\begin{align*}\n", "\\sigma^2(t) := \\frac{1}{T_{i-1} - t} \\int_t^{T_{i-1}} \\lambda(s,T_{i-1})^2 ds.\n", "\\end{align*}\n", "The $P^{T_i}$-distribution of $\\log F(T_{i-1},T_i)$ conditional on $\\mathcal{F}_t$ is\n", "$N(\\mu,\\sigma^2)$ with\n", "\\begin{align*}\n", "\\mu &= \\log F(t;T_{i-1},T_i) - \\frac{\\sigma^2(t)}{2} (T_{i-1} - t),\n", "\\\\ \\sigma^2 &= \\sigma^2(t) (T_{i-1} - t).\n", "\\end{align*}\n", "In particular\n", "\\begin{align*}\n", "\\mu + \\frac{\\sigma^2}{2} &= \\log F(t;T_{i-1},T_i),\n", "\\\\ \\mu + \\sigma^2 &= \\log F(t;T_{i-1},T_i) + \\frac{\\sigma^2(t)}{2} (T_{i-1} - t).\n", "\\end{align*}\n", "\n", "We have\n", "\\begin{align*}\n", "{\\rm Cpl}(t;T_{i-1},T_i) &= \\delta P(t,T_i) (F(t;T_{i-1},T_i) \\Phi(d_1(i;t)) - \\kappa \\Phi(d_2(i;t))),\n", "\\\\ {\\rm Fll}(t;T_{i-1},T_i) &= \\delta P(t,T_i) ( \\kappa \\Phi(-d_2(i;t)) - F(t;T_{i-1},T_i) \\Phi(-d_1(i;t)) ),\n", "\\end{align*}\n", "where\n", "\\begin{align*}\n", "d_{1,2}(i;t) = \\frac{\\log \\big( \\frac{F(t;T_{i-1},T_i)}{\\kappa} \\big) \\pm \\frac{1}{2} \\sigma(t)^2 (T_{i-1} - t)}{\\sigma(t) \\sqrt{T_{i-1} - t}}.\n", "\\end{align*}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We shall now use Quantlib library to valuate a cap in a constant and non-constant volatility market environment. We use here code kindly provided at http://gouthamanbalaraman.com/blog/interest-rate-cap-floor-valuation-quantlib-python.html. First we have to specify the market environment, then we specify the cap as a sum of caplets." ] }, { "cell_type": "code", "execution_count": 138, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import QuantLib as ql\n", "\n", "calc_date = ql.Date(14, 6, 2016)\n", "ql.Settings.instance().evaluationDate = calc_date\n", "\n", "dates = [ql.Date(14,6,2016), ql.Date(14,9,2016), \n", " ql.Date(14,12,2016), ql.Date(14,6,2017),\n", " ql.Date(14,6,2019), ql.Date(14,6,2021),\n", " ql.Date(15,6,2026), ql.Date(16,6,2031),\n", " ql.Date(16,6,2036), ql.Date(14,6,2046)\n", " ]\n", "yields = [0.000000, 0.006616, 0.007049, 0.007795,\n", " 0.009599, 0.011203, 0.015068, 0.017583,\n", " 0.018998, 0.020080]\n", "day_count = ql.ActualActual()\n", "calendar = ql.UnitedStates()\n", "interpolation = ql.Linear()\n", "compounding = ql.Compounded\n", "compounding_frequency = ql.Annual\n", "\n", "term_structure = ql.ZeroCurve(dates, yields, day_count, calendar, \n", " interpolation, compounding, compounding_frequency)\n", "ts_handle = ql.YieldTermStructureHandle(term_structure)" ] }, { "cell_type": "code", "execution_count": 139, "metadata": { "collapsed": true }, "outputs": [], "source": [ "start_date = ql.Date(14, 6, 2016)\n", "end_date = ql.Date(14, 6 , 2026)\n", "period = ql.Period(3, ql.Months)\n", "calendar = ql.UnitedStates()\n", "buss_convention = ql.ModifiedFollowing\n", "rule = ql.DateGeneration.Forward\n", "end_of_month = False\n", "\n", "schedule = ql.Schedule(start_date, end_date, period,\n", " calendar, buss_convention, buss_convention, \n", " rule, end_of_month)" ] }, { "cell_type": "code", "execution_count": 140, "metadata": { "collapsed": true }, "outputs": [], "source": [ "ibor_index = ql.USDLibor(ql.Period(3, ql.Months), ts_handle)\n", "ibor_index.addFixing(ql.Date(10,6,2016), 0.0065560)\n", "\n", "ibor_leg = ql.IborLeg([1000000], schedule, ibor_index)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now all required pieces are set and we can evaluate the cap:" ] }, { "cell_type": "code", "execution_count": 141, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "54369.85806286924\n" ] } ], "source": [ "strike = 0.02\n", "cap = ql.Cap(ibor_leg, [strike])\n", "\n", "vols = ql.QuoteHandle(ql.SimpleQuote(0.547295))\n", "engine = ql.BlackCapFloorEngine(ts_handle, vols)\n", "\n", "cap.setPricingEngine(engine)\n", "print(cap.NPV())\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Reality, however, is more complicated, and whence volatility not constant." ] }, { "cell_type": "code", "execution_count": 142, "metadata": { "collapsed": true }, "outputs": [], "source": [ "strikes = [0.01,0.015, 0.02]\n", "expiries = [ql.Period(i, ql.Years) for i in range(1,11)] + [ql.Period(12, ql.Years)]\n", "vols = ql.Matrix(len(expiries), len(strikes))\n", "data = [[47.27, 55.47, 64.07, 70.14, 72.13, 69.41, 72.15, 67.28, 66.08, 68.64, 65.83],\n", " [46.65,54.15,61.47,65.53,66.28,62.83,64.42,60.05,58.71,60.35,55.91],\n", " [46.6,52.65,59.32,62.05,62.0,58.09,59.03,55.0,53.59,54.74,49.54]\n", " ]\n", "\n", "for i in range(vols.rows()):\n", " for j in range(vols.columns()):\n", " vols[i][j] = data[j][i]/100.0" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Cap-Floor volatilities are provided by the market, Quantlib strips volatilities out of it." ] }, { "cell_type": "code", "execution_count": 143, "metadata": { "collapsed": true }, "outputs": [], "source": [ "calendar = ql.UnitedStates()\n", "bdc = ql.ModifiedFollowing\n", "daycount = ql.Actual365Fixed()\n", "settlement_days = 2\n", "capfloor_vol = ql.CapFloorTermVolSurface(settlement_days, calendar, bdc, expiries, strikes, vols, daycount)\n" ] }, { "cell_type": "code", "execution_count": 144, "metadata": { "collapsed": true }, "outputs": [], "source": [ "optionlet_surf = ql.OptionletStripper1(capfloor_vol, ibor_index)\n", "ovs_handle = ql.OptionletVolatilityStructureHandle(\n", " ql.StrippedOptionletAdapter(optionlet_surf)\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The procedure is visualized below:" ] }, { "cell_type": "code", "execution_count": 145, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 145, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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sqtDPARRFYeeZPWjQxGXysiPV3Ty66zT97iEOn01jednsFxIjSUXmIv7asp8G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\nxoYNH9e3ZWTsY+fOHZSVldGlSxcsFgvff/8d+fn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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "%matplotlib inline\n", "\n", "tenors = np.arange(0,10,0.25)\n", "strike = 0.015\n", "capfloor_vols = [capfloor_vol.volatility(t, strike) for t in tenors]\n", "opionlet_vols = [ovs_handle.volatility(t, strike) for t in tenors]\n", "\n", "plt.plot(tenors, capfloor_vols, \"--\", label=\"CapFloor Vols\")\n", "plt.plot(tenors, opionlet_vols,\"-\", label=\"Optionlet Vols\")\n", "plt.legend(bbox_to_anchor=(0.5, 0.25))\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The resulting cap price is slightly different from before" ] }, { "cell_type": "code", "execution_count": 146, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "54384.92831495013\n" ] } ], "source": [ "engine2 = ql.BlackCapFloorEngine(ts_handle, ovs_handle)\n", "cap.setPricingEngine(engine2)\n", "print(cap.NPV())" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.5" } }, "nbformat": 4, "nbformat_minor": 2 }