{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Hull-White Pricing using a Neural Network\n", "Author: Joerg Kienitz (finciraptor.de, https://github.com/Lapsilago), Machine Learning for Option Pricing, Calibration and Hedging\n", "Workshop with Nikolai Nowaczyk (https://github.com/niknow; https://github.com/niknow/machine-learning-examples)]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Hull-White 1 Factor Model \n", "\n", "Hull-White model was one of the first practical exogenous models that attempted to fit to the market interest rate term structures. The model is described as:\n", "\n", "\\begin{equation}\n", "dr_t = (\\theta(t) - a r_t) dt + \\sigma dW_t\n", "\\end{equation}\n", "\n", "where $a$ is the mean reversion constant, $\\sigma$ is the volatility parameter. The parameter $\\theta(t)$ is chosen in order to fit the input term structure of interest rates. \n", "\n", "What is the \"right\" value for parameters $a$ and $\\sigma$? This is the question that we address by calibrating to market instruments." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import QuantLib as ql\n", "from collections import namedtuple\n", "import math" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "today = ql.Date(15, ql.November, 2019);\n", "settlement= ql.Date(19, ql.November, 2019);\n", "ql.Settings.instance().evaluationDate = today;\n", "sr = 0.003\n", "term_structure = ql.YieldTermStructureHandle(\n", " ql.FlatForward(settlement,sr,ql.Actual365Fixed())\n", " )\n", "index = ql.Euribor1Y(term_structure)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this example we are going to calibrate to the swaption volatilities as shown below. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "CalibrationData = namedtuple(\"CalibrationData\", \n", " \"start, length, volatility\")\n", "data = [CalibrationData(1, 5, 0.1148),\n", " CalibrationData(2, 4, 0.1108),\n", " CalibrationData(3, 3, 0.1070),\n", " CalibrationData(4, 2, 0.1021),\n", " CalibrationData(5, 1, 0.1000 ),\n", " CalibrationData(1, 9, 0.1108),\n", " CalibrationData(2, 8, 0.1070),\n", " CalibrationData(3, 7, 0.1021),\n", " CalibrationData(4, 6, 0.1000 ),\n", " CalibrationData(5, 5, 0.1108),\n", " CalibrationData(6, 4, 0.1070),\n", " CalibrationData(7, 3, 0.1021),\n", " CalibrationData(8, 2, 0.09 ),\n", " CalibrationData(9, 1, 0.08)]" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# \n", "def create_swaption_helpers(data, index, term_structure, engine):\n", " swaptions = []\n", " fixed_leg_tenor = ql.Period(1, ql.Years)\n", " fixed_leg_daycounter = ql.Actual360()\n", " floating_leg_daycounter = ql.Actual360()\n", " for d in data:\n", " vol_handle = ql.QuoteHandle(ql.SimpleQuote(d.volatility))\n", " helper = ql.SwaptionHelper(ql.Period(d.start, ql.Years),\n", " ql.Period(d.length, ql.Years),\n", " vol_handle,\n", " index,\n", " fixed_leg_tenor,\n", " fixed_leg_daycounter,\n", " floating_leg_daycounter,\n", " term_structure\n", " )\n", " helper.setPricingEngine(engine)\n", " swaptions.append(helper)\n", " return swaptions \n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "a = 0.07000, sigma = 0.02000\n" ] }, { "data": { "text/plain": [ "[0.03227408357309807,\n", " 0.036413414605577024,\n", " 0.03346070890936483,\n", " 0.025808499585154993,\n", " 0.014393684840156164,\n", " 0.05078155362927418,\n", " 0.06351608406917204,\n", " 0.06793437584192456,\n", " 0.06710618247636566,\n", " 0.062489223930518964,\n", " 0.05483102886775399,\n", " 0.044517323869753496,\n", " 0.03185709910128186,\n", " 0.016963251738110644]" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "a = 0.07\n", "sigma = 0.02\n", "model = ql.HullWhite(term_structure,a, sigma);\n", "engine = ql.JamshidianSwaptionEngine(model)\n", "swaptions = create_swaption_helpers(data, index, term_structure, engine)\n", "\n", "a, sigma = model.params()\n", "print(\"a = %6.5f, sigma = %6.5f\" % (a, sigma))\n", "\n", "ff = [s.modelValue() for (i,s) in enumerate(swaptions)]\n", "ff\n", "#for i, s in enumerate(swaptions):\n", "# st = type(s)\n", "# model_price = s.modelValue()\n", "# print(model_price, st)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(100000, 3)\n", "(100000, 14)\n" ] } ], "source": [ "import numpy as np\n", "import numpy.matlib as npm\n", "import matplotlib.pyplot as plt\n", "import matplotlib.ticker as mtick\n", "\n", "# create model parameters and prices\n", "NTrain = 100000\n", "Nparams = 3\n", "u01 = np.random.rand(NTrain,Nparams)\n", "\n", "Smin = 0.0; Smax = 0.1; Sdelta = Smax-Smin;\n", "kappamin = 0.00001; kappamax = 0.05; kappadelta = kappamax - kappamin;\n", "Vmin = 0.0001; Vmax = 0.2; Vdelta = Vmax - Vmin; \n", "\n", "lb=[Smin,kappamin, Vmin]\n", "ub=[Smax,kappamax, Vmax]\n", "\n", "Vecdelta = [Sdelta, kappadelta, Vdelta]\n", "\n", "xx = lb + Vecdelta * u01\n", "\n", "yy = np.zeros((NTrain, 14))\n", "\n", "# this is for generating the prices\n", "for i in range(0,NTrain):\n", " term_structure = ql.YieldTermStructureHandle(ql.FlatForward(settlement,xx[i][0],ql.Actual365Fixed()))\n", " model = ql.HullWhite(term_structure,xx[i][1], xx[i][2]);\n", " engine = ql.JamshidianSwaptionEngine(model)\n", " swaptions = create_swaption_helpers(data, index, term_structure, engine)\n", " mval = [s.modelValue() for (i,s) in enumerate(swaptions)]\n", " yy[i][:] = mval\n", " \n", "print(xx.shape)\n", "print(yy.shape)\n" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "# save the generated prices for using them in the future without calculation\n", "#np.savetxt(\"xx.txt\", xx)\n", "#np.savetxt(\"yy.txt\", yy)\n", "#np.savetxt(\"Vecmin.txt\", Vecmin)\n", "#np.savetxt(\"Vecdelta.txt\", Vecdelta)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "# import already calculated prices\n", "#import os\n", "#xx = np.loadtxt('xx.txt') # train on implied volatilities\n", "#yy = np.loadtxt('yy.txt')\n" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot some results for a fixed maturity\n", "offset = 0\n", "j = 1\n", "for i in range(100):\n", " plt.plot(xx[offset + i,(j-1)*14:(j)*14])" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot some parameter sets\n", "offset = 0\n", "j = 1\n", "for i in range(100):\n", " plt.plot(yy[offset + i,:])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Training a Neural Net to Learn Hull-White Pricing\n" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "from sklearn.model_selection import train_test_split\n", "x_train, x_test, y_train, y_test = train_test_split(\n", " xx, yy, test_size=0.15, random_state=42) # test_size is the percentage used for validation/test" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "_________________________________________________________________\n", "Layer (type) Output Shape Param # \n", "=================================================================\n", "input_2 (InputLayer) (None, 3) 0 \n", "_________________________________________________________________\n", "dense_5 (Dense) (None, 10) 40 \n", "_________________________________________________________________\n", "dense_6 (Dense) (None, 10) 110 \n", "_________________________________________________________________\n", "dense_7 (Dense) (None, 10) 110 \n", "_________________________________________________________________\n", "dense_8 (Dense) (None, 14) 154 \n", "=================================================================\n", "Total params: 414\n", "Trainable params: 414\n", "Non-trainable params: 0\n", "_________________________________________________________________\n" ] } ], "source": [ "# define the neural network\n", "import keras\n", "from keras.layers import Activation\n", "from keras import backend as K\n", "from keras.utils.generic_utils import get_custom_objects\n", "\n", "\n", "keras.backend.set_floatx('float64')\n", "input1 = keras.layers.Input(shape=(Nparams,)) # input layer\n", "\n", "x1 = keras.layers.Dense(10,activation = 'elu')(input1) # hidden layer 1\n", "x2 = keras.layers.Dense(10,activation = 'elu')(x1) # hidden layer 2\n", "x3 = keras.layers.Dense(10,activation = 'elu')(x2) # hidden layer 3\n", "\n", "x4=keras.layers.Dense(14,activation = 'linear')(x3) # output layer; size depends on option surface\n", "#x4=keras.layers.Dense(121,activation = 'linear')(x3)\n", "\n", "# set up the model\n", "modelGEN = keras.models.Model(inputs=input1, outputs=x4)\n", "modelGEN.summary()\n", "\n", "\n", "# this is just for testing, the best results are currently obtained with 30 for the dense layers!" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Train on 85000 samples, validate on 15000 samples\n", "Epoch 1/5\n", "85000/85000 [==============================] - 10s 122us/step - loss: 0.0075 - val_loss: 0.0072\n", "Epoch 2/5\n", "85000/85000 [==============================] - 10s 121us/step - loss: 0.0073 - val_loss: 0.0070\n", "Epoch 3/5\n", "85000/85000 [==============================] - 10s 118us/step - loss: 0.0069 - val_loss: 0.0066\n", "Epoch 4/5\n", "85000/85000 [==============================] - 10s 119us/step - loss: 0.0065 - val_loss: 0.0062\n", "Epoch 5/5\n", "85000/85000 [==============================] - 10s 118us/step - loss: 0.0058 - val_loss: 0.0061\n" ] } ], "source": [ "# define the objective function and do the compilation and fitting\n", "\n", "def root_mean_squared_error(y_true, y_pred):\n", " return K.sqrt(K.mean(K.square(y_pred - y_true)))\n", "modelGEN.compile(loss = root_mean_squared_error, optimizer = \"adam\")\n", "\n", "Nepoch = 5 #better 50 or larger \n", "# fit/calibrate the model using defined loss function\n", "\n", "# the model takes y_train_transform as input (the model smile)\n", "# and it learns the model parameters, the output or predictions\n", "#history = modelGEN.fit(y_train_transform, x_train_transform, batch_size=32,validation_data = (y_test_transform,x_test_transform),epochs = 200, verbose = True,shuffle=1)#,callbacks=[earlystop])\n", "history = modelGEN.fit(x_train, y_train, batch_size=32,validation_data = (x_test,y_test),epochs = Nepoch, verbose = True,shuffle=1)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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"Index %i 29\n", "Index %i 30\n", "Index %i 31\n", "Index %i 32\n", "Index %i 33\n", "Index %i 34\n", "Index %i 35\n", "Index %i 36\n", "Index %i 37\n", "Index %i 38\n", "Index %i 39\n", "Index %i 40\n", "Index %i 41\n", "Index %i 42\n", "Index %i 43\n", "Index %i 44\n", "Index %i 45\n", "Index %i 46\n", "Index %i 47\n", "Index %i 48\n", "Index %i 49\n", "Index %i 50\n", "Index %i 51\n", "Index %i 52\n", "Index %i 53\n", "Index %i 54\n", "Index %i 55\n", "Index %i 56\n", "Index %i 57\n", "Index %i 58\n", "Index %i 59\n", "Index %i 60\n", "Index %i 61\n", "Index %i 62\n", "Index %i 63\n", "Index %i 64\n", "Index %i 65\n", "Index %i 66\n", "Index %i 67\n", "Index %i 68\n", "Index %i 69\n", "Index %i 70\n", "Index %i 71\n", "Index %i 72\n", "Index %i 73\n", "Index %i 74\n", "Index %i 75\n", "Index %i 76\n", "Index %i 77\n", "Index %i 78\n", "Index %i 79\n", "Index %i 80\n", "Index %i 81\n", "Index %i 82\n", "Index %i 83\n", "Index %i 84\n", "Index %i 85\n", "Index %i 86\n", "Index %i 87\n", "Index %i 88\n", "Index %i 89\n", "Index %i 90\n", "Index %i 91\n", "Index %i 92\n", "Index %i 93\n", "Index %i 94\n", "Index %i 95\n", "Index %i 96\n", "Index %i 97\n", "Index %i 98\n", "Index %i 99\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Nt = 100\n", "u = np.random.rand(Nt,3)\n", "x_t = lb + Vecdelta * u\n", "\n", "error = []\n", "err_m = 0; index_err_m = -100\n", "n = 0\n", "for j in range(0,Nt):\n", " term_structure = ql.YieldTermStructureHandle(\n", " ql.FlatForward(settlement,x_t[j][0],ql.Actual365Fixed()))\n", " model = ql.HullWhite(term_structure, x_t[j][1], x_t[j][2]);\n", " engine = ql.JamshidianSwaptionEngine(model)\n", " swaptions = create_swaption_helpers(data, index, term_structure, engine)\n", " y_nn = modelGEN.predict(x_t[j].reshape(1,Nparams))[0]\n", " y_ql = [s.modelValue() for (i,s) in enumerate(swaptions)]\n", " error_loc = np.mean(np.abs(y_nn-y_ql))\n", " if np.abs(error_loc) > err_m:\n", " index_err_m = j\n", " err_m = error_loc\n", " error.append(error_loc)\n", " if error_loc > 0.0001:\n", " print('Index %i', j)\n", " n = n+1\n", " plt.plot(y_nn,y_ql,'x')" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "max pricing error: 154.74570075027617\n", "average pricing error: 38.60927619847306\n", "error bigger than 0.0001: 100\n", "max error occurs at index 59\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(error)\n", "print('max pricing error:',np.max(np.abs(error))*10000)\n", "print('average pricing error:', np.mean(np.abs(error))*10000)\n", "print('error bigger than 0.0001:', n)\n", "print('max error occurs at index', index_err_m)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "-0.0023871709042390167" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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tAJC0QVIJuAt4RNJwsu1l4FOU3zhOAweTNjMzawB/4JqZ2SLgD1wzM7MpHPpmZjni0DczyxGHvplZjjj0zcxyxKFvZpYjDn0zsxxx6OeMb11olm8O/ZzxrQvN8s23S8wZ37rQLN98pJ9DvnWhWX459HPIty40yy+Hfs741oVm+ebQzxnfutAs3/zRymZmi4A/WtnMzKZIFfqStks6J2lE0oFp1t8s6YvJ+lOSViftN0n6vKQXJZ2V9Kf1Ld98sZWZ1aJq6EtaAjwM3AG0A3dLap/U7aPAKxGxDvhr4C+T9ruAmyPil4D3A3848YZg9eGLrcysFmkuztoIjETEeQBJR4GdwJmKPjuB/5U8fwLolSQggLdKWgr8DPAa8MP6lG7gi63MrDZphndWAhcrlktJ27R9khupXwHeSfkN4EfA94BR4DO+MXr9+WIrM0srTehrmrbJU35u1Gcj8DpwC7AG+CNJa6d8AWmfpAFJA2NjYylKskq+2MrM0koT+iVgVcVyC3DpRn2SoZzlwGWgG/haRPwkIl4G/hmYMqUoIg5HRCEiCs3NzbV/Fznmi63MrBZpQv80sF7SGknLgN3AsUl9jgH3JM93ASeifAHAKLBVZW8FPgB8uz6lG/hiKzOrTdUTuRFxVVIPcBxYAvy/iBiWdBAYiIhjwN8AX5A0QvkIf3ey+cPA3wL/SnkI6G8jYmgOvo/cundL25S2rrYmj+ub2bR8Ra6Z2SLgK3LNzGwKh76ZWY449M3McsShb2aWIw59M7McceibmeWIQ9/MLEcc+mZmOeLQNzPLEYe+mVmOOPTNzHLEoW9mliMOfTOzHHHom5nliEPfzCxHHPpmZjni0Dczy5FUoS9pu6RzkkYkHZhm/c2SvpisPyVpdcW6DknPSBqW9KKkN9evfDMzq0XV0Je0hPK9bu8A2oG7JbVP6vZR4JWIWAf8NfCXybZLgSPAvRHxHuB24Cd1q97MzGqS5kh/IzASEecj4jXgKLBzUp+dwOeT508AH5IkYBswFBEvAETE9yPi9fqUbmZmtUoT+iuBixXLpaRt2j4RcRW4ArwTuBUIScclPS/pT6b7ApL2SRqQNDA2Nlbr92BmZimlCX1N0xYp+ywFfhX4SPLvnZI+NKVjxOGIKEREobm5OUVJZmY2E2lCvwSsqlhuAS7dqE8yjr8cuJy0n4yI8Yj4MfAV4H2zLdrMzGYmTeifBtZLWiNpGbAbODapzzHgnuT5LuBERARwHOiQ9JbkzWALcKY+pZuZWa2qhn4yRt9DOcDPAo9FxLCkg5J2JN3+BninpBFgP3Ag2fYV4EHKbxzfAp6PiCfr/21Ud+hkkf7i+HVt/cVxDp0sNqIcM7OGUPmAPDsKhUIMDAzUfb/9xXF6+gbp7e6kq61pyrKZ2UIm6bmIKFTrt3Q+ismCrrYmers76ekbZM+mVo6cGnXgm1nu5OpjGLramtizqZWHToywZ1OrA9/McidXod9fHOfIqVHu37qOI6dGp4zxm5ktdrkJ/cox/P3bbrs21OPgN7M8WRShn2ZmzlDpynVj+BNj/EOlK/Naq5lZIy2K0O9oWX7dUfvEUX1Hy/Jrfe7d0jZlDL+rrYl7t7TNa61mZo20KGbveGaOmVk6i+JIHzwzx8wsjUUT+p6ZY2ZW3aIIfc/MMTNLZ1GEvmfmmJmlk5vP3jEzW8zSfvbOojjSNzOzdBz6ZmY54tA3M8sRh76ZWY449M3MciRzs3ckjQH/1ug6ptEEZHnif5bry3JtkO36XNvMZbm+uajtXRHRXK1T5kI/qyQNpJkO1ShZri/LtUG263NtM5fl+hpZm4d3zMxyxKFvZpYjDv30Dje6gCqyXF+Wa4Ns1+faZi7L9TWsNo/pm5nliI/0zcxyxKEPSNou6ZykEUkHpll/s6QvJutPSVpdsa5D0jOShiW9KOnNWahN0k2SPp/UdFbSn9azrhrq2yzpeUlXJe2atO4eSd9JHvdkpTZJ7634nQ5J+p161zab+irWv13SdyX1Zqk2Sa2Snkr+352pfL1koLZPJ7/Xs5IekqR61payvv3Jz2VI0tclvati3Zy+JgCIiFw/gCVAEVgLLANeANon9fkYcCh5vhv4YvJ8KTAE/HKy/E5gSUZq6waOJs/fAlwAVjfgZ7ca6AAeBXZVtL8DOJ/8uyJ5viIjtd0KrE+e3wJ8D/jZrPzsKtb/X6AP6M1SbcA3gV9Pnr8NeEsWagO6gH9O9rEEeAa4vQE/u/858TMB7qt4zc7pa2Li4SN92AiMRMT5iHgNOArsnNRnJ/D55PkTwIeSI4RtwFBEvAAQEd+PiNczUlsAb5W0FPgZ4DXgh3WsLVV9EXEhIoaANyZt+2Hg6Yi4HBGvAE8D27NQW0S8FBHfSZ5fAl4Gql70Ml/1AUh6P/BzwFN1rmtWtUlqB5ZGxNNJv1cj4sdZqI3ya+LNlMP4ZuAm4N/rWFva+r5R8TN5FmhJns/1awLw8A7ASuBixXIpaZu2T0RcBa5QPqq/FQhJx5M/J/8kQ7U9AfyI8lHqKPCZiLjcgPrmYtt527+kjZRDolinuibMuD5JbwL+Cvh4nWuaMJuf3a3ADyT9vaRBSQ9IWpKF2iLiGeAblF8T3wOOR8TZOtY2k/o+Cnx1htvOiEMfphvTmzyl6UZ9lgK/Cnwk+fdOSR/KSG0bgdcpD0+sAf5I0to61vbTvvZcbzsv+5f088AXgN+LiClH27M0m/o+BnwlIi5W7Tkzs6ltKfBB4I+BDZSHOfbWpyxgFrVJWge8m/KR9Upgq6TNdawNaqhP0h6gADxQ67az4dAvv5uuqlhuAS7dqE8yXLIcuJy0n4yI8eTPta8A78tIbd3A1yLiJxHxMuWxzHpf9p2mvrnYds73L+ntwJPAn0fEs3Wsa8Js6vsVoEfSBeAzwO9K+t8Zqa0EDCbDG1eBLzP/r4kbuRN4NhlyepXyEfYH6lhb6vok/RrwCWBHRPxHLdvOlkMfTgPrJa2RtIzyydBjk/ocAybOpO8CTkT5zMtxoEPSW5LA3QKcyUhto5SPZCTprZT/c3+7jrWlre9GjgPbJK2QtILy+ZHjWagt6f8l4NGIeLyONdWlvoj4SES0RsRqykfUj0bElFkijagt2XaFpIlzIFuZ/9fEjYwCWyQtlXQT5ddrvYd3qtYnqRN4hHLgv1yxaq5fE2X1PjO8EB/AbwAvUR63/UTSdjD5pUD55M/jwAjwL8Daim33AMPAvwKfzkptlGdNPJ7Udgb4eIN+dhsoH8H8CPg+MFyx7e8ndY9QHkLJRG3J7/QnwLcqHu/NSn2T9rGXOs/eqcPv9dcpz2p7Efg7YFkWaqM8s+YRykF/BniwQa+Jf6R8Anni/9ax+XpNRISvyDUzyxMP75iZ5YhD38wsRxz6ZmY54tA3M8sRh76ZWY449M3McsShb2aWIw59M7Mc+U+npr8PzdBR0wAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "j = 94\n", "term_structure = ql.YieldTermStructureHandle(\n", "ql.FlatForward(settlement,x_train[j][0],ql.Actual365Fixed()))\n", "model = ql.HullWhite(term_structure, x_train[j][1], x_train[j][2]);\n", "engine = ql.JamshidianSwaptionEngine(model)\n", "swaptions = create_swaption_helpers(data, index, term_structure, engine)\n", "y_nn = modelGEN.predict(x_train[j].reshape(1,Nparams))[0]\n", "y_ql = [s.modelValue() for (i,s) in enumerate(swaptions)]\n", "plt.plot(y_nn,y_ql,'x')\n", "np.mean(y_nn-y_ql)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.999863280909044" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.corrcoef(y_nn, y_ql)[0,1]" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0.08322631, 0.001452 , 0.09662033])" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x_t[j]" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "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": "3.6.9" } }, "nbformat": 4, "nbformat_minor": 1 }