{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\"The" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Model Classes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The model classes represent the fundamental building blocks to model a financial market. They are used to represent the fundamental risk factors driving uncertainty (e.g. a stock, an equity index an interest rate). The following models are available:\n", "\n", "* `geometric_brownian_motion`: Black-Scholes-Merton (1973) geometric Brownian motion\n", "* `jump_diffusion`: Merton (1976) jump diffusion\n", "* `stochastic_volatility`: Heston (1993) stochastic volatility model\n", "* `stoch_vol_jump_diffusion`: Bates (1996) stochastic volatility jump diffusion\n", "* `sabr_stochastic_volatility`: Hagan et al. (2002) stochastic volatility model\n", "* `mean_reverting_diffusion`: Vasicek (1977) short rate model\n", "* `square_root_diffusion`: Cox-Ingersoll-Ross (1985) square-root diffusion\n", "* `square_root_jump_diffusion`: square-root jump diffusion (experimental)\n", "* `square_root_jump_diffusion_plus`: square-root jump diffusion plus term structure (experimental)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from dx import *\n", "from pylab import plt\n", "plt.style.use('seaborn')" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "np.set_printoptions(precision=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Throughout this section we fix a `constant_short_rate` discounting object." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "r = constant_short_rate('r', 0.06)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## geometric_brownian_motion" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To instantiate any kind of model class, you need a `market_environment` object conataining a minimum set of data (depending on the specific model class)." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "me = market_environment(name='me', pricing_date=dt.datetime(2015, 1, 1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For the **geometric Browniam motion class**, the minimum set is as follows with regard to the constant parameter values. Here, we simply make assumptions, in practice the single values would, for example be retrieved from a data service provider like Thomson Reuters or Bloomberg. The frequency parameter is according to the pandas frequency conventions (cf. http://pandas.pydata.org/pandas-docs/stable/timeseries.html)." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "me.add_constant('initial_value', 36.)\n", "me.add_constant('volatility', 0.2)\n", "me.add_constant('final_date', dt.datetime(2015, 12, 31))\n", " # time horizon for the simulation\n", "me.add_constant('currency', 'EUR')\n", "me.add_constant('frequency', 'M')\n", " # monthly frequency; paramter accorind to pandas convention\n", "me.add_constant('paths', 1000)\n", " # number of paths for simulation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Every model class needs a discounting object since this defines the risk-neutral drift of the risk factor." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "me.add_curve('discount_curve', r)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The instantiation of a model class is then accomplished by providing a name as a `string` object and the respective `market_environment` object." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "gbm = geometric_brownian_motion('gbm', me)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `generate_time_grid` method generates a `ndarray` objet of `datetime` objects given the specifications in the market environment. This represents the discretization of the time interval between the `pricing_date` and the `final_date`. This method does not need to be called actively." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "gbm.generate_time_grid()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([datetime.datetime(2015, 1, 1, 0, 0),\n", " datetime.datetime(2015, 1, 31, 0, 0),\n", " datetime.datetime(2015, 2, 28, 0, 0),\n", " datetime.datetime(2015, 3, 31, 0, 0),\n", " datetime.datetime(2015, 4, 30, 0, 0),\n", " datetime.datetime(2015, 5, 31, 0, 0),\n", " datetime.datetime(2015, 6, 30, 0, 0),\n", " datetime.datetime(2015, 7, 31, 0, 0),\n", " datetime.datetime(2015, 8, 31, 0, 0),\n", " datetime.datetime(2015, 9, 30, 0, 0),\n", " datetime.datetime(2015, 10, 31, 0, 0),\n", " datetime.datetime(2015, 11, 30, 0, 0),\n", " datetime.datetime(2015, 12, 31, 0, 0)], dtype=object)" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gbm.time_grid" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The simulation itself is initiated by a call of the method `get_instrument_values`. It returns an `ndarray` object containing the simulated paths for the risk factor." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "paths = gbm.get_instrument_values()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[36. , 36. ],\n", " [35.819, 39.084],\n", " [35.857, 36.918],\n", " [35.808, 40.226],\n", " [36.941, 39.883],\n", " [35.171, 43.389],\n", " [38.559, 44.775],\n", " [37.54 , 43.593],\n", " [37.977, 39.925],\n", " [36.249, 38.091],\n", " [37.665, 40.338],\n", " [36.593, 39.91 ],\n", " [36.716, 41.727]])" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "paths[:, :2]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These can, for instance, be visualized easily. First some plotting parameter specifications we want to use throughout." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "colormap='RdYlBu_r'\n", "lw=1.25\n", "figsize=(10, 6)\n", "legend=False\n", "no_paths=10" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For easy plotting, we put the data with the `time_grid` information into a pandas `DataFrame` object." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "pdf = pd.DataFrame(paths, index=gbm.time_grid)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following visualizes the first 10 paths of the simulation." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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e20R+hoFpY4s4ZGguuiiVJWRMGs2YSaNxb62i+sl5rJt9O4aSAsquvoDCGSd2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Eo3Jn5M6W/0uPaTKv781zU4HBp33HpGo+yTlJKD9qTirjLkbQtWrt7Db3//Pr/99TRO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\nSs4NjPJ2+xCmI9nYUMrqmhLPjvGpnP9DCYudrRH6R93GvMurb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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pdf[pdf.columns[:no_paths]].plot(colormap=colormap, lw=lw,\n", " figsize=figsize, legend=legend);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## jump_diffusion" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The next model is the **jump diffusion model from Merton (1976)** adding a log-normally distributed jump component to the geometric Brownian motion. Three more parameter values are needed:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "me.add_constant('lambda', 0.7)\n", " # probability for a jump p.a.\n", "me.add_constant('mu', -0.8)\n", " # expected relative jump size\n", "me.add_constant('delta', 0.1)\n", " # standard deviation of relative jump" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The instantiation of the model class and usage then is the same as before." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "jd = jump_diffusion('jd', me)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "paths = jd.get_instrument_values()" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "pdf = pd.DataFrame(paths, index=jd.time_grid)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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J3rWd5Z/7JLUP7sHffv2L0y50HpfGhhVVbFhRBUDRtDnXnyLeneBkT5KfvdOP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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pdf[pdf.columns[:no_paths]].plot(colormap=colormap, lw=lw,\n", " figsize=figsize, legend=legend);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## stochastic_volatility" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Another important financial model is the **stochastic volatility model according to Heston (1993)**. Compared to the geometric Brownian motion, this model class need four more parameter values." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "me.add_constant('rho', -.5)\n", " # correlation between risk factor process (eg index)\n", " # and variance process \n", "me.add_constant('kappa', 2.5)\n", " # mean reversion factor\n", "me.add_constant('theta', 0.1)\n", " # long-term variance level\n", "me.add_constant('vol_vol', 0.1)\n", " # volatility factor for variance process" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again, the instantiation and usage of this model class are essentially the same." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "sv = stochastic_volatility('sv', me)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following visualizes 10 simulated paths for the **risk factor process**." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "paths = sv.get_instrument_values()" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "pdf = pd.DataFrame(paths, index=sv.time_grid)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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rL0Gbsn1x/+Zxlf0BNtz/DNUP/Ye8s0+g/I5rw9LuYG9pHVUYN32N1t2Izzw0\n1E7ANCiuN8sNx++/oX0hSc2f4sw9Nup7TsYjMeMkCHFA7W1F66zGOejIWIcSdfMX1LCp28PlM47G\na9eR3vI+XeZL92oz00hz1DSw/Jq7aXnvC7JPPpLRT83BWJQXs3gKM01cd/LI0BYuP9Rww/O/cfSE\nPI6bWIBeG/utW8zlgxg//1HaPv+BypseoPntTxj890spmHnydlvLODfUsfKym3DXNDD22XvIOu6w\nGEW9LbW7CUvda3iTR+PIP2W3d4L2J570KShqA6bG91EFPbgzDorrZLE/i/85eEGIEn1HBX5jAUFj\n7C6+sVCxro2vljVx6TFDSTXrcWUfgayxYm54BxQ51uFtJ2B3sO6OR/nvsGPw1Dcz6aPnGPPUXTFN\nmrY2qjiF22aM5fypg/l+5Sae/nQt0ZjZ7w1Jksg86mD2/+ENSi4/j3W3PcLCw8+l48dFQGjJs+qZ\nN1g4dQZaq4Up374eN0mTFPRgaXgDn2UYzrzpAypp2sybMg5H4RkYW78lqeULiJOfq4FGzDgJAkDQ\ni75rKa7cY2MdSVS1dLl59osqTppSxPDNhc0qDfbC00le/ySGtgV4Mg+ObZBb8bV2sPCImUhqFfu9\ncA/Gww6Mr1vhe6hUEgeMyKIw08Rtry3jl8o2pgzLjHVYW6j0OkquPJ/cM46j6q65LD7lUrKOn4ri\nD9D+zc8MufmvFF54RvzsM6comDZ+CIAz74QBPdPisw7HXnQOlvrXkWQPztzjI9r1XNherxKn8vLy\nLGAxcARgBP4LrOt5+InKysr5kQlPEKJD370CJBVe68hYhxI1voDM3I8qGZxj4YRJ295WLuvScOad\ngLnhHQKmktAO8TGmKAqrrr4dXVoykz56jpyizLiuGwMoyjQxfXIhL32zgWGFyaSY4qtwWZ+dwciH\nb6HgT6ex9uYHkf1+jl70Nv7s3FiHtg195yJ09t/pLr0YRR0/ndtjxW8ejK34PCy1LyMFPTjyTwGV\nmAeJlt2mqeXl5VrgKcDd808TgAcqKysP7fkQSZOQ2BQFQ2cF3pTxoIqfbtCR9tp31dhcfv589BBU\nO2g14EsejTdlHOaGt5ACrhhEuK2G59+m44cKRj05B7UxcS6ex07MJzNZz/NfVcXNkt3/Sh4/kkkf\nzmPypy+QMiq+bgpQu5swNX+KM+dogsb4SuhiKZBUiK30ArSuWiz1r4Psi3VIUSEFHDH/e9Sb+b37\ngCeBjT0VOs8HAAAgAElEQVSfTwCOKy8v/768vPzZ8vLy+Nr5UhD6SONuQONpxpM2KdahRM3CNa18\nt7KZS48dijVp57MgztxjUFR6zBvfj2k9hWNtNWtveZCht12DeWhiNQLUqFVcdOQQVtZ28dOa1liH\nk1D+qGsqx5s6cH4/eytoyKG7ZBZqbyvW2peQgp5YhxQRm/catNS8QGrlfRjbfohtPLt6B1ReXv4n\noKCysvLO8vLyb4G/APsByysrKxeXl5fPBlIrKyuv29VJAoGgotHE/q4SYecURcEbtKNTm1DFaFuC\nWJF/fwX8TlRjLol1KFHR0Org6sd/5oxDB3PGIbvv56M4m1EWP4g06HikgoOiEOG2gl4fn085A2NB\nDod88ERc1jT1xhvfbeCt7zfw+F8PJCOONgqOV4qioKx+Cez1SBOvRdKIMdsZxdOFsvxJUGmRxvwZ\nSRe/d8P2lhL0QftqlJbfoON3UOshcyxS9nhIHoQU+bquPescXl5e/j2g9HyMA9YCJ1ZWVjb3PD4C\neLSysvLwXZ1d9HGKf5LehUrvRgloSEvKp63NEeuQokIKOEldez/2wjMj2pU3Xn42vf4gd8xfTppZ\nz9XTh/d6mxB952JMTR/RXXpR1O86XHvrwzS9+TH7ffvaNvvMxcuY9lZQVpgzfzlmo5Zrpg+P2wQw\nXsZV31GBqfkTuksvTvglumiMqRRwYq19GUn2YSs5L646p/eaEkTrWI++ewU6+xoAfJZheJNHh3p1\nbVXHFcs+TrtM2SorKw+urKw8pLKy8lBgKXAe8H55efnm7luHEyoaFxKZxoukcyO7TaAO4g52xTqi\nqNF3/oasMeM3D4l1KFHx8rcbcHkDXHLUkD7treZN2QefZTiWhjch6I1ghNtq/+4Xap94mZGP3rLH\nm/PGC7VK4qKjhrC6vosFqzfFOpy4Juqa+k7RmLCVnI+sMWGtfhaVtz3WIfWOIqNx1mDa+CGplff1\n3C3ow5E3nY7y63EUnIrfMjSuit/3JJJLgUfLy8v9QDMwMNY3+itVAJXRgeI1ovgNKIqEJ6kb1FYI\n9vNCaUXG0LkIT+rEAXE774+rN/HT763847RRmI19/N5KEs68E0je8BTmpv+G7uKJ8IyJr6OLVVfe\nSuGFZ5Axdf+Inita8tKSOHX/Yl79rpoRRSmkW+Kns3i8CNU1vSnqmvaAojZgK56Jpf4NkqufxVZy\nHkFDTqzD2p6ioPY0hWaWuleiCtjxm0pxZU/DZx2BojbGOsJd6nXi1DPrtNkB4Q9FiD4ZldEOAS2K\nr+cHNaBHr5bwGO3IzhRQ+m9CoXVUoQrY8abuE+tQIq6x3cULX6/n9AOLKcvbfpuN3lDUBuwFp5Fc\n/Sx60yC8qePDHOVW51IUfr92DpoUC0NuujJi54mFo8bnsbiqnf98UcW1J4+I2yW7mNjSr0nBmXfi\ngO7XtMdUWuxFZ2FufBdr9X+wF58TF+1EAFTeNvTdK9B3r0Dta8dvLMCTsT9e6ygUbeLcZxY/c19C\nlCmojKE6JtltZus6uCR1Gh6fC5XRgeyysIsauYRm6Pg19O4mjrcVCQevP8jcj9YwsiiFo8bvXX1S\n0JiPK/sITE0fEUgqIKiPTFPHja99QOsXC5j82YsJ1XqgN1QqiYuOHMJNLy/lu5UtHDo6DmcEYkT0\nawoTSY0j/xRMTR9hrXkRe9FZ+M1lMQlF5e9G170SffcKNJ4mAvpMvClj8SaPRtYl5vK7SJwGKEnv\nBk0A2ZnM/5a6SZKE7LKgMncj6dwovthv7BluKl8HWkcVtpILYh1KRCmKwgtfr8cXkLnoyCFhmd3w\npE1B66zGXP8G3YMuCXvvK+eGOir/eR9DbroSy8j+WXuWk2rktAOKef37akYVp5BhFUmCqGsKM0mF\nM/d4FLUBS92rOApOw2cdEZ1TB1zobKtCyZKrDlmbjC95FI78kwjqsxN+JrH/rsMIO6fx9RSDm0He\nSesBRY3sNoUSLLU/uvFFgaFjEUF9VtxMYUfK96s28UtlG5cdW47JEKb3SZKEI+8kpKAHU/On4Tlm\nD9kfYOWlN5Ky71iKLj4rrMeON0eMz6Uoy8yzX1Qhx2ljzKgJekVdUyRIEq7sI3BlHoa5/k30nUsi\nd66gF13XMiy1L5NaeS9Jm74hYMjGVnohXUOuxpV9RKjeKsGTJhAzTgOPKhgqBvcZIbCb7R8CehS/\nH1V/q3eS/ei7luDKmtovfol3pr7VycvfbOCsg0sYlBPe+gFFk4Sj4DSsNc/jN5XiSx4VluNuuO9p\n3LWNjPvugfjZJy1CVJLEhUeUcdPLS/l2eTNTxw7QWRZFwdwk6poiyZN5EIragGnj+0iyB0/6fuE5\nsBxA66hC370cnX0tiqQK7aVXfC5+Uwn0056AInEaUGRURhsENCje3t21oHhMSKZAv6p30tlWgxLE\nmzwm1qFEjNsXYO7Haxg7KJVpEbogB0zFuLMOxbTxAwLGvL2uV+j8+TeqH36esf/5N/rsjDBFGd+y\nU4yccWAJ8xfUMKoklawB2BhT37kYnW013aUXibqmCPKmTUJRGzA3vIMUdOPOPGzPktSe9gH67uXo\nbL8jKQF8lqE4Ck7FZy4bENtWicRpwNh5MfiuSchuCypTF5LO88fddwnM0FGBL2VsqBNtP6QoCs9/\nuR5ZhlnTyiJ615Y74yC0zmos9W/SXXrhHvda8XfbWXn5zeSfM52sYw4Nb5BxburYHBZVtfHs5+u4\n4bRRfeqvlejUnmZMzZ/01DVFt7HqQORLHo1dpcdSPx8p6MGVc3TvWrEoChp3I7ru5ehtq5ACLvzm\nQThzj8VvKR9wCW//ngsXtpB0btD4kd0W+vxtl9UobjOS3pXw9U5qdxNadz2eflxH8c2KZhavb+ey\n48pJ0kf4vZGkwp5/Kip/N0mbvtzjw6y54W5Ueh3lt/8tjMElhtCS3RBqNjn4allTrMOJnqAXS73Y\nhy7a/Jah2Ipnou9aimnj+6AEd/pctWcTxpYvSVn3MMnVz6DxNOHKPITO8uuwF8/ElzJ2wCVNIGac\nBgaND0m/uRh8z77lSkAPfn9oyc6ZnLD1TobOCvxJJQQNWbEOJSJqNjl49btqZhxSSklWdNosKFoL\njoJTsNS+jN80KNTltw+a3vqElg++ZN9PnkdtSvwZzT2RmWzgzINKeP37GsaUpJKd0s/HQdQ1xVTA\nVIKt5HystS+jqn8De8HpW2aLVb5OdN0r0HevRONtIWDIwZM2EZ91FLIuJcaRx4fEvPoJvbdNMfje\nLU0pHhMoEiqDg9D2hYlFCrrRdy3Hk9Y/3926vAHmflTJhMHpHBbl3kB+cxmejAMwN76Lyt/d69e5\naxtZc8PdDP77pVjHDo9ghPHvsNE5DMmzMO/zdchy4v1+9cXmuiZ7wekDcsYiHgSN+dhKLkDt3oil\n7hUM7QuxbphH6rqHMHQtwWcdRlfZFXQPvhRPxoEiadqKSJz6NaWnM3jvi8F3LVTvhMaPpPOE4XjR\npe9ahqLW47MMi3UoYacoCs99UYVaBX+aNjgm3ahdWVMJ6tIxN7y9y+n/zeRAgJWX34xlzDBKLp8Z\nhQjjmyRJXDCtjPo2F18s3RjrcCJmS11T9lGirinGgoYsbKWzUPttGNsWEEgqoGvQJXSV/RV31tSI\nNbhNdCJx6rc2F4MrvSoGV4JBvJ9/gOyw7fqwshrFk4D1ToqCoaMCT+qEuNosMly+XNbEsupOLj92\nGEZdjL4+SY2j4DTUnhaMrd/t9uk1Dz+Po3IDox67DUndP29b7qsMq4GzDy7hrR/raOpwxTqc8NtS\n1zQUb9q+u3++EHGyLpWusivoHPo3XDlHEzTmi6XT3RCJUz8VKgb39aoYXAkGcT10J+5H7sL9+L27\nPbbi16P49T2JmRyegCNM46xG5WvHmzoh1qGE3YZmO69/X8O5hw2iMNMU01hkXQqO/JMwtn6Pxlm9\n0+d1LVrBhvueYfh9/8SQL7Yc2drBI7MpL7Ay7/Oq/rVkt7muSZFx5k0XF+d4IkkDYqPzcBEj1R/1\noRg8lDTdQaDiR4xX/gP/gq+xf/XZbk+xpd7JmBj1TobOCvyWcmRtcqxDCSunJ1TXNLk8g4NHxkfB\nu986HE/aJCwNbyMFHNs9HnA4WXnpjeScdgw504+IQYTxTZIkZk0rY2OHi09/a4x1OGGzpa6p8AxR\n1yQkNJE49TfS5mJww26LwZVgANcDtxGo+AnTnY+gP2o6+jPOp/XeO5G7O3d3olBilgD1TpLfhs62\nBk8/WxpQFIV5n69Dr1Vx/tTY1DXtjCv7SGSNCXPju6BsOytZOfs+AIbddV0sQksIaRY9Mw4p5Z2f\n62hsT/wlO1HXJPQnInHqVxRUSXYIalC8u96YN5Q03U7gt4WY5jyKpixUMG048wLU6Rm4n7hv96eT\nNaHO4nFe72ToXIysS8VvKo11KGH12ZKNrKrr4vLjhqHXxlmNkEqLveB0tK46DO0/bfnnlg++pOmN\njxn1+B1oLNFpl5CoDhyRxciiFOZ9vo5gIi/ZibomoZ8RiVO/0VMMLinIrl0XgyvBAK77b+tJmh5D\nM7h8y2OSVkvOLXfh//lbfD/svqGh4jfEd72TEsTQuRhP6sR+tYZftdHGmwtqOX/qYPLTd50kx4qs\nz8CRezxJLV+hcdXjaWxm9bVzKL32IlIm9d/tbsJFkiT+dPhgWrrcfLIoQZfsRF2T0A/1nyvJACfp\nPKFicNeui8GVYADXfbcSWPor5jlz0QzavlmhfuhwDGdegPuJe5E723d77niud9LZK5GCHryp42Md\nStg43H4e/6SS/YdncsCI+Khr2hlfyli8KWMw1b7BystvwjS0lNKrL4h1WAkj1azn3EMH8e7COurb\nnLEOp8/0Xb+Juiah3xGJU3+g9iHpXSi7KQZXAgFc995CYNkizHMeQz1oyE6fqz/jT6gysnE//m8U\nZXfJUPzWOxk6fsWbPApF3T86McuKwtOfrSNJr+HcQwfFOpxeceYeR+X8tdiXrWLUY7eh0vS/dhCR\ntN+wTMaUpDLv83UEgnE4q7sTak8zpqaPcYm6JqGfEYlTopOCqJJCxeDKLorBQ0nTzQSWL8Z812Oo\nS3eeNAFIGg1JV9+Ev+JH/N9/sfs4tq53UgX6+lVEhNrbitZZ3a+Kwj9e1Mjaxm4uP7Y8/uqadsK2\nYj0rn1nGhKtGkZo8gPZiCxNJkjj/8MG02bx8lChLdlvVNfWn3z9BAJE4JbjeFYMrgQCuf99EYOUS\nzHfNRV1S1qujqwcNwXDWLNxP3te7JTu/HsWvC8UUB/VO+o4K/Mb8fvNut7Kxm3d+quVPh5eRmxaf\ndU3/K+jysOLSG8k6fioZMy/C1PwZak9zrMNKOCkmHTMPG8QHv9RTu2n7Fg9xRdQ1Cf2cSJwSloK0\nuRh8F53BQ0nTjQRWLQ0tz5UM7tNZ9KedhyorF9fce3q1ZKd4zKCAyugkpvVOsg9919J+cxePzeXj\niY/XcsioHKYMS5xtENbe8iCyx8vwf/8DX9okfJahWOrfhKA31qElnMlDMxg/KI15n1fF9ZKdqGsS\n+juROCUoSedB2lwMruz426j4/bjumU1g9bKemaa+JU3Qs2R3zc0EFv2E/9tPe/OKnv3sfEja2F0c\n9V3LQVLhtY6MWQzhIssKT326juQkLWcfkjgtFTZ9+h0NL73LqLm3o022gCThzDsRlACmpo9iHV7C\nkSSJ86YOosvp5cNfG2Idzg6JuiZhIBCJUyLqRTG44vfjvGc2gd9XYL7rcdTFe15IrC4ZjGHGxbif\nehC5vXX3L9hc72RwxqbeSVEwdFbgTRkPKm30zx9mH1Y0sL7ZzmXHlaPTJMavrLeljdXX3EHJleeT\nut8+W/5dURtxFJyOvnsFuq6lMYwwMVmTdMw8bDAf/lpPTbwt2QW9WOrfFHVNQr+XGH+FhT9s1Rl8\nZ8Xgit+P8+5/ElyzEvO/5qIu2vtZCv2p56DKLcD12N29WLLrqXcK6FAZo1/vpHE3oPE0h3o3Jbjf\n67t4b2EdFx5RRnZKYtwZqMgyq668FWNhHoOvv2S7xwNJBbiyp2Fu+giVty0GESa2fYdmMHFIBvM+\nW4c/ECdLdoqCuem/oARFXZPQ74nEKaH0FIPL6p0Wgyt+H85//YPg2tWY//U46sLwLO1Iag1J19xE\nYMmv+L/+uDevQHGHNpyVolzvZOiowGcuQ9anR+2ckdDl9PHEJ2s5fGwuk4ZkxDqcXqufN5/OX5cy\n6ok7UOl2POPnSd8Pf1Ixlvo3QI7frvPxauZhg7C5/bz/S32sQwE21zWtEnVNwoAgEqeEoSAZNheD\nW9hRMbji9+G86x8Eq9b0JE0lYY1AXVSK4dyLcT39IHLbpl68QoXstiBFsd5JCjjR2VbiSZ0UlfNF\niiwrPPXJWtItes48sCTW4fSafXUV6+54lPI7r8M0uHjnT5RUOPJPRhV0YWre/abSwrYsRi3nTx3M\nx4sa2NBsj2ksak+LqGsSBhSROCUISedB0u68GFzxeXHO+TvB9WtDSVPBLi5ae0F/8gzUBcW4Hv1X\nr5bsol3vpO9agqwx47ds3xE9kbz3Sx21rQ4uO7YcbYLUNQU9XlZeOpuMww8g/5zpu32+ojFhLzgV\nfecidLbVUYiwf5lQls7k8kzmfb4OX6yW7Db3azIPEXVNwoCRGH+RBzq1P1QM7tlxMfiWpGnDulBN\nU35RxEKR1KHGmIHli/F98d9evUbx62FLvVMEl+wUGUPHIrwJvi/dytpOPvy1gYuOHEJmcuIse1Td\n+Rj+ThvDH5iN1Msal4CpFHfmIZga30fl64xwhP3POYeW4vQEeO/nuuiffOu6pnxR1yQMHIl7dRko\npCAqoz1UDO7fvhg8lDTdQLCmKuJJ02bqwhIMM/+Me95DyK0tvXiFhOw2gURouTFCyZPWUYUqYMOT\nus/unxynOh1envp0LUeOz2OfwYlTo9X29U/UPfM6Ix+5BV1aSp9e6848hKAhB3PDW6AEIxRh/2Q2\naPnTtDI++a2Rqo22qJ77j7qm0/vNlkaC0BsicYpruy4GV3xenHfeQLB2Q2h5rjdJk+xH5etE46xF\n170SQ9tPJDV/irn+Taw1z5PU9AlKx5rdFuzqp5+FumgQrkfu6t2SHSpklwVJG7l6J0NHBT7rCBSN\nOSLHj7SgrPDEJ2vJSjZy+gGRWWqNBF9bJ6uuvI2iP88g/dApfT+ApMJecCpqXwdJLV+FP8B+bvyg\nNPYflsW8L9bhC0Qn8fyjrulIgsb8qJxTEOKF2G0zbimhuiBJQXZZ+d9icMXrCSVNDTWhpCknHyng\nRBWwo/LbQh+b/3/r/wZdW44hq5OQtVZkjQVZayWgS0HjbkRZ8SxpSPhNJfhNg/GbywjqM7eZipfU\napKuuQn7lTPxffY++qNP2v2XJIe2hpEMTpSgZpcbEveVyteJ1rEOW8kFYTtmtL3zUy2N7S5unzEO\njTox3tMoisKqa25Hl5nGkNmX7/lxtFYc+adgqXsFv6kUv2XXeykK25pxSCmzX1rC2z/VcfbBEW6S\nuk1d0+TInksQ4pBInOKUpPUgab3IzmQIBlEFulD57agCNiRnO10PPY3S3Erulceis7+JqtOO1LPM\noUianmTIgqyxEtRn4DcN2iZJkjUWUO3425+RqsNWtwKdowpDZwWmls8IapNDSZRlCH5TKYraiDq/\nCMN5f8H97CNo95mMKit3t1+X4jMgqQOojI7Q17aTrWL6ytC5iKA+i0BS5JcqI2FZdQcfL27k6hOH\nk27d+WbN8abhhbfp+O5XJn/+Iiq9bq+O5bcMwZO+H+bGd+ka/BcUrTVMUfZ/JoOGWdPKePCD1UwY\nnM7Q/AiNnahrEmJsc+PXzExLzGIQiVMsKQpS0PU/s0I2VIFu1HInkteFyu/cZpYoENTR8vwiAq0O\nMq6fiZJTiFtrRdZYtyRKitq4V3/QJI0ev6Ucv6UcAJWvA62jCp2jCnPjuyAHCBjz8ZvLUE/bH/9P\n3+J65C5MdzzSi6LgUL2TytwdmnnyhGFZTQ6g7/wNV9ZhCfmHvN3m5enP1nHMhHzGlqbFOpxec66r\nYe0tDzL0lqswD+v7dj474so6HI2rFkvjO9iKz0voIv9oG1OaykEjsnj2i3Xcfs449Fp12M+h71qC\nzraK7tILRV2TEFW+QJB3fqrjsyUbOW3/YiaN3P0b9UgRiVM0KUFMzZ+i9jRvSZZ2NEukGA0EdFnI\nhrRtZomCQS3OO/5OsEvBfO8LeHOi0zNF1qXhTds3tGGuHEDjrkfnqEJn/52k1m8wnphF4/3fIL/z\nKJoTL0DR7u6dgArZbUaVZIOgBsW/d3eO6WyrkZQA3uSxe3WcWAgEZZ74pJL8tCRO3T9x6ppkn58V\nf5lN2gETKZh1evgOrNLgKDid5PVPYmz9HnfWoeE79gBw1sGl3PjyEt76sZZzDt3zbZZ2JFTX9JGo\naxKibt1GG89+sQ6PT+aqE4YzblBs32CKxCmKjK3fo+teiSdt356E6H9niUBl6gZF2q6uSfG4cd5x\nHXLLxlBNU3aMGs2pNARMpQRMpZB9BJLfjta5HuvJQWyvzKcwqx4ptxS/uQyfuSy0dLajJcGgNmz1\nToaOX0NJkzpxlrg2e+vHWlq63Nx+zjjUqsSZLVt/9xN4mjYx/rXezDL2jaxLxZl3IuaGN/GbSgiY\nSsJ6/P4sSa9h1rQh3P/uKiaUpTOsIDk8Bw56MYu6JiHKvP4gb/1Yy5dLmzhwRBZnHVyKyRD7tCX2\nEQwQavdGjK3f4yg4DV/yyB08Y+fF4IrHjfO2a5E3NWH+1+O9qiWKFkVrwZcyDs4dg2rVZWz8bycZ\nfzsWnWsDhvafQVKHin17EilZl7ZlOS1U7+Tfq3ontbsJrbseZ94JYf7KIu+39e18tmQj1540glRz\n4iR9HT9UUDP3Jca9/CD6rMi0TPAlj8Tr3IC54W26B/8FRWOKyHn6o1HFKRwyOptnP1/HHeeOx6Db\nyyW7nromSQmIuiYhan6v7+a5L6sIyjLXnDSCMSWpsQ5pC1FAEA2yH3PjO/isI3aSNIGk9YaKwd3m\nbTqDKx43jlv/hrypGfO/noirpGlrkkoV2suuqoruRe3YSi+kc9gNOApOQdZaMLT/SGrVI6SsexjT\nxv+ita2BoC/09Uo9SeMeMHRW4E8qJmjIDvNXFFmt3R7mfb6O4ycVMKo4fv4g7I6/s5uVV9xC4QWn\nkXnEgRE9lzPnaBS1EXPje9CrlhfCZmceVIKswBsLavb6WJvrmkL70Im6JiGy3L4AL369nn+/vZKR\nhcnMOXd8XCVNIGacoiJp0zeogm5sucft+Alqf0+htAmCf2yKqrhdOG67FqVtE+a7n0CVGd/JgTon\nH+MFV+B+7jE0E/ZDnZMfShatI0BRUPna0Dmq0DqqsDS8CYpMIKkIn7WUYGY2AU0pSqD39U5S0IO+\nazmO/F60QogjgaDM4x9XUpxp5uQpiXMXoKIorL52DhqLiSG3XBX5E6q02AtPJ2X9Uxjaf8aTsX/k\nz9lPGHUaLjyyjHvfXsXEsnRGFPWtKelmol+TEE2r6rp47osqJAmuP2XkHv/cRppInCJM46rD0P4T\n9qKzUTTbN7Hc0hncr9+mSFpxu3Dc+jeUjrbQ8lycJ02b6Y49Bf9P3+B66E7Md81FUvXMnkkSsj4T\njz4TT/p+IPvRumrROqrQd65C0/wNstaI3zQEn2kIfvPgnS7P+AJBnvpkLSP1qzkmR80H6yzkpXeS\nn5FEmlkX9pqbcJv/Qw3tdi+3nzMOVQLVNW18/UNaP/+ByZ88j9oYna1gZH0mztzjMDV9iN9ULC7e\nfTCiMIWpY3N49osq7jx3HEZ9H//cb6lrKhN1TUJEubwB5v9Qw/crW5g6NofTDyjZ+yXmCBKJUyTJ\nPsyN7+JNGbfl1v5tKaiMjlBncM8fSYLicoaSps72UNKUkRW9mPeSpFJh/Ots7Fecg++jt9CfcMaO\nn6jS4jeX4TeXhT71d6HzrkJrr8bU9BGS7CVoyMVnHozfPIRAUgFIamRZ4alP1lLdYufqyXUstZfx\n44ZOmjobCQQVjDo1+elJ5KcnUdDz3/z0JKxJ2rhIqCrWtfHlsiauP2UkKaa963sUTa4N9VT+8z6G\nzL4cy+gd/SxHjjdlHFrnBiz1b4bqndSJs39frJ1+QAnLa7qY/0MNf5pW1vsXKgrmpo9EXZMQcctr\nOnn+yyo0ahU3nDYqfDc0RJBInCIoqeULUIK4co7ewaM9dT2qILIzhc2F0aGk6RqUrs6ES5o2U+fk\nYZx1Je5nHw4t2eUV7vY1sjYFj24/fDkjUPxq1J3daB3r0DrWY2xbgKLS4TeV8kNjCm2tem4+No/k\nzm5GTprFHfsnE5QVNnW5aWh30djz8c2KZpo73cgKWIyaLUlUKKkykZ+eFNU7NDZ1uXnuiypOmlzI\niML4nILeEdkfYOXlN5E8YRRFf54R/QAkCUfu8aRseArTxg9wFJwuLuS9ZNCpueiIMu5+ayUTh6T3\nup5O37UUnW2l6NckRIzTE+C176v5cfUmjhify6n7F0ek91gkiMQpQjSODRg6KrAXz9zhO+QtxeAu\n65ZicMXlxHHL1SjdXZjvmpuQSdNmumNOxv/j16Elu7uf+GPJbleUP/o7Ba1ZBJIKcWdNRQq40Do3\n0FyzjH30S5g22YvSpcVvKUfWht6dqFUSuWlJ5KYlMWmr3Tr8AZnmzm0TquU1XbR2ewBIMelCM1MZ\nf8xQ5aUlhX2a2OcPMvejSgblWDhh390nkvFkw/3zcG2oZ8q3r/Xu+xgJaj32gtNJrn4GfedivGkT\nYxNHH/kVBTWgimGiV16QzLRxuTz3RRV3zhxP0m6W7BRHk+jXJETUkg0dvPBVFQadmn+eMZoheYm1\nS4BInCJACnowb3wPb9ok/OYddFTeQTG44nTguPlqFIctNNOUnhnlqMNLkiSSrpqN7fJz8H74Bobp\nZwhjRugAACAASURBVPXuhZv7OxkdKE5NaBlTk8Q3jVnM+7aEy445kilFMlrnBnzm3e9nptWoKMw0\nUZi5bb2U1x9kY4eLhrZQMtXQ7qJibRsdDh8AmVY9+RlJ5KdtTqpM5KYa0Wr2LHF45uM1dLv8XHvy\niISqa+pcuJTqh55j7LP3YMiNbSIfNObiyj4KU/MnqH1tKHIZqkAasjY17magXLJCa0DGJivoJSjR\nqdHFMMbTDihmeU0nr31fzYVH7OL3JuhFWf2CqGsSIsLh9vPKd9UsrGzl6H3yOXm/QnSaxJhl2ppI\nnCIgqfkzkNQ4s4/Y/kFJ3q4YPJQ0XYXidISSprSMKEccGaqsXIwX/hX30w+inbg/6vze3UGm+AxI\nGj8qox3ZmcyKmi6e+7KKcw4ZxKShmQRhr9sP6LVqSrMtlGZv2+Xc6QlsSaga2l1saHbw/aoW7O4A\nKgmyU4x/LPdlhP6bnWLcZfPKhWta+XRRAzecMhJrUuLUNfltDlZefhP5M04k67jDYh0OAJ60fUEJ\nonVUoaxbSmrAjaxOImDM3+YjFn2fFEXBqUBrQMYhK5hVEiVaFa1BhfXeICU6NcYYJc16rZqLjhzC\nXW+uYGJZ+o639umpa0IO4CwSdU1CeC2qaufFr9djNmi48YwxDM6N3V5ze0tSotAfpbXVHpUmLJmZ\nFlpb7dE41U5p7Wux1L2KreQCAqb/3UJDCW0zAluaXMoOO86br0JxOUNJU2pkGgrujs0b4KvqDibk\nWplQlhm2cVQUBefNV6N4XJjvfhJJ3ct3F5KMytSFzSZx7RNrOHxsLmccWBKWmPaEzeX7Y7mvJ6lq\nbHfh9gXRqCVyU41b1U4Zyc8wkWHV09Lp5rbXlnHmYWUcNiKxZhFXXHoTtiWrmPzly2jMO7gjNMYy\nMkx0NNaicTf+8eFpQlKCBLWp/5NM5YIqMkmroijYe2aYXAokqyQyNaotSZKsKDT4ZeyyQpFWhUUd\nu/Z5r39fzcLKNubMHI9Jr0YK2NF4W1F7W9G4G9HZVqEafwVt3sTZMzERxMO1KVZsrv9n77zDoyrT\nNv47Z3p6m/QOJKEIioAIFhAbRaVYsay6dizYP113XXtbe8NeV1fXBoqiIGIBFTvSEgjpvU4yfc45\n7/fHDCFAElImENjc1zXXTE6bM0/O+577POV+fLz5VSE/b21gxrhUTjksrdee+/bob5tareGdPjkM\nEqcgQlKcRBU+jSdyNM7EE3ZZ608Gl/Rev0q20PlJ09+v8ZOKe5/eZ6TJ5lH4KL8OBLhVjQsOy8Do\nU4J2fK2uhpYF8zGfeSHmuWd3e79mt4PoOBfLf7BzzMiMfZon0hGEEDTavW25U/6wn4PKRhdeRcOo\nlzHoZIYkhXPPXyfQ0GDf16fcbVS9v4wNV93O+KUvE3lIx6Kt+xodjndNQeep2YlM6Tz1gIRqjt+J\nTKkmK0i9DxMIIbAFCJNbQLROwqqTMXXgVRJCUK1o1KuCVINM9N4kT0Ig+2zoPHXgquGPjflkRThJ\nttiRNTcCGdUUi2qMwxs1hsghE/5nb/L9hX19b9oXEEKwtqCeN1dtIzLUyEXHDSMzIQhN3QPYl8Rp\nMFQXRIRWf4qms+CMP2a3dZLR7U8Gd0QESFOLnzR53PuWNLkVPiqoI9qsZ/qQWL4pbebfP5cxJzeO\nKLNhzwfoBmRrApaLFuJ69iEM4yejS8vc4z6tLh/3vbOZk4+I5fjDw9HsGoiBFQuXJInYcBOx4aad\nlG01TVDf4qa8wUljq5fD86z7VV6Tq7SSzTfdx5CbLh2wpKlTyHpUSwqqJQVPYJGkutG5KtuIlKV2\nFTqlBSEZUCzJO5EpzRC1xxCVJgTNqqBO1fAJiNFJZOjlLnOYJEkiyaDDIGmU+/z7WXVScCUyhIbs\na0bnqUPnrvV7kTx16Lz1SJoXIelQjXGMSIli2SYDB+WNJz0rG9UY03E/yUEMopdodnh5Y2Uhvxc1\nMWt8KidNSEW/Dz2twcbgaAkSjLYNGG0bsGVfBPIuhEPvRTI5Ea4w0Ax+0nTb1Qivl7B7ntpnpKnZ\n7eOj/HpiLXqmD41DL0tMzYxmRamNJQX1zMuLJzRI1WXG42YFquzuIuzB57sM2Xl8Ko8u3ojZoGNs\negqoLuSQ1l73s9vbkGWJ+CgL8VH7Xxm3UFXWL/gHYSNzyLzqL/v6dIICoTOjhGWjhGW3LZN8Lehd\nlehd5ehdFZiafkHWPGi60A7ypfxhSk0IGlW/h0kDYnUScXoZfQ/IT5xexiBBmU/DJySS9XLPyZNQ\nkb2N6D316Dx+guR/1SMJBSEZUE1xqCYr3ojhKCYrqsmKZoxu87C11BTz4Kpa7jk3mrBB0jSIIEEI\nwfeb6/j310XEhZu4/awxpFsPvD6T3Roxubm58cAvwHGAArwKCGA9sCA/P1/rrxPcHyApdkKrPsFl\nPXL38l1ZQbbYEV4LQjGhtdr8pElRCLv3KeSofZNL0OT2sTi/jrgQIycOiUUf8IjIksRph6Tw0uoi\nPt5Sz5xcK6YgxKMlSSLkqltoWTAfz4dvYT713A63UzXBM5/m0+L0cdsZo7EYDWguHXJos598eg68\nQTiQUPTEq9g3bWXiV293Px9tP4QwROAzROCLyAss0PxkxFWB3lWOwV6Apf4bJKGiGKJxmFOoNybj\nMicTF5JMjMGIrpfeokidn2yVeFV8QiPdIHcchtYUdN6GdsQo8PI2IAkVIRvbSJEn8iBUU7yfIBki\nQep6zM6emM7v2xp5c9U2Lpu+dwVNB3Fgosnu4dUvC9lQ2szJh6Ux49CUA8rL1B57JE65ubkG4DnA\nFVj0CHBbfn7+qtzc3EXAKcCH/XeKAxxCEFb5MZohAlfcUTuvkzTkkFZQ9AiPBeGw+0mTGiBNkfum\ncWGTy8dHBXXEB0jTrhVhRp3MrGGxfLC5js8KGzhpWFyXVWPdhRwXj+XihbieegDDhCPQpWfttF4I\nwesrC9la1cptpx+0Q1lbyGiucOSQFoSqB8XU53MZxO6w/bqebQ8+z6hn7sSSNjCbSfcbJBnNFIfX\n5M/zAfCpPhzOKjRnBZHuSlJbf8XU8IU/J8ic0EG+VPdvEqGyRLZRR7FPpdjtJls0YfRu9yDVo/fU\nIXsbkdDQZDOq2U+KPFGHtH3W9BG9rnwz6mUuOn4Yd7+zjnHD4hg3dN94vQ90aELgUw5sv4IQgu82\n1vLW10UkRlu4Y/7BpMQOvGKSYKI7Hqd/AYuAWwJ/Hwp8Hfj8GXA8/8PEyWhbh8G+BVv2pbvkCQhk\nSysICc0VjvB6sd91oz+n6YFF+4w0Nbp8fJRfR0KYkROzdydN22HW6zhpWBzvb65leVEjx2fHBCU5\n2zhtJr7VX+F89C7C/vU8km6HzZb8WMb3m+u4ae5IkmJ2GXiqAeG1IFscaHb9gMt32p/hs7VSuugt\nSp9/i8S5J5A4Z9fChv8teDV//lKTKmE0JmO1pCLpJOyShEN1oXNV+b1SrgpCalciK61+749513yp\nyJ2JjepB5/WTIp27lnBPHQmeOnS+JiRA1YWgBbxG7tCsNm+S0If1izRAdmI4M8al8tqXheQkRxAR\nEpycxkH40WT38MTHmymptTM0OZLshFByUyPJSY7Yqx0L+hMNrR5eXbGVTeU25h6ezgljU4LykD3Q\n0WVVXW5u7vlAan5+/t25ubmrgMuAlfn5+cmB9ccAF+bn55/T1Zcoiir0+6HI1Z4g3M2Inx5ESp+G\nlDFtp3UOXwNezUGEMQlZlai65Vo8mzeS+uKbGBL2zdN8bauH19aWkBZt4dSDU9vCc12hptXNyz+U\nMCYlkunDE4KSzKrU1VJy1ilEn3MhMedfDMDnP5Xx1JKN/G3+IUwc3rHQohCCVl8NAo0IQ9KA6D23\nP8NrayX/sdfY/OirGCLDGfW3y8i+YC6y4X/zBurwqZS0uKlxegk16MiMMGO17LnHofA0Q0sporUU\nWsqgtRRUDxjCISINNBWcNeBp9u9gjIDQRAhJQApJQLXEs8kTRrNmZkxcGBE9bcbbB/gUjWueWUN6\nfBj/d+bBe+17D3RsKbdx15u/Yo22cNaUIeSXN7O+uInNpc34VI3MhHBGZUUzKjOGkZnRRIftX150\nIQTLfirnpWWbyUgIZ+HcUaRZg1cxN0DQOzmC3Nzcb/DnMgngYKAAGJufn68PrD8FOC4/P//Krr79\ngJQjEILw0jeRVDctWRfuVNYsGdxIZgeaMwKh6HE9cS++H78h7IFF6NKyujho/6HB6WNxQR1JYSaO\nz47p8qlgVztWtnpYUlDHuOQIxiUFRxrfu/IznE/cQ/hjr/GnFs0TH2/i3KlDmDo6sesdA/pOwmfa\nr/KdBlI5sq/FTunzb1P63Fvow0LIWnghyWedjGzcvwhTsGzaXuU7RIJ4vUyY3IeKN6Gh8za0VfEJ\nSYdqsgZykOI67P0mhKBC0WhW/VpPEXsxN6S41s6db//BZccPZfzQaOKTYwfMtbo/Ym1BPS98voXx\nObGcP20oRr3cdq36FI3iWjv55S3kV9jYUtWK26uSGG0hLyWCnNQIclMiiQ0fuESqzubmlRVb2VrV\nyrxJ6Rx3cPI+qRoesHIE+fn5bUk77TxOD+Xm5k7Jz89fBUwHvgrOae5fMDX9gsFRTPOQy3fWgtml\nnYr7tafxfruCsHue2mekqd7pZXFBPSnhJo7L6po0dYTkcBPHZ8eyrLCBEIOOEXF9JyyGqSeiX72S\npof+yaLcS5k1IW3PpAna9bNrRagGUPYfJe59DaXVTukL/6Fk0VvoQiwMvXUBKfNPRjb979lwV5Xv\n8EDOUWgwbgCSHCBKVjxR3fPiSJJEil7GgEaJTyNFQEwQijK6g8z4ME4faiD8riuwWQRRTz4PIQdG\n94K9CU0IFv9QxpK1ZZw6KYMZ41J2I98Gvcyw5AiGJUcwi1RUTVBW52BzhY388hb+vaoIh1shLsJE\nbkokuakR5KZEEB9p3ucedk0IVq6r5r/fFZMRH8Zd5xxMwn5YORwM9MYnfD3wQm5urhHYBLwX3FMa\n+JC9TYTWfI4z4Vg0U7sJRlL97VS8ZoTPjPuDf+P56G1C//Ew+tx9o4dT5/SyOL+etAgTx/UhTyk7\n2sJRGVGsKm4iRC+T2ccBI0kS9nMWol13Lucmf8+kiZO7v7NqRHjNyGY7miOqrUnyIDqGYnf4CdOz\n/0ZnMTP05stIOWf2/yxh2lXle+g+bIXSHpIkkRDQeqpQNLxCkNAbuYIewvv910x87U6Kw9Mp1uuR\n/jqfkFvuwzD60H793gMJHp/Ki19sYV1xE1fPyuOQId1LttfJEpkJYWQmhHHi2BQ0IahocJJf0UJB\nuY33VpfQ4vQRFWokN8VPonJTI0mOsexVIlXb7OKl5VsprrVz2uRMjhmTOOAEifcmBpXDewqhEVH8\nGgAtmX9pV0mjIYe2+D0iznC8X36G8/G7CbnhDoxH+XvWeXwqn/xUzqQ86+7Jz/2AOoeXxQV1pEea\nOTar+6SpKzuurbDxW42dU3LiSOxDXN7m8HL3O+uY3LiOKd+9TPijr6DL2nPT3h0QyKE20PwVdwNd\n32lfhOoUu4Oyl96l5Jk3kU1GMq85n5SzZ6MzD9wwQE/QE5v2ROV7IKBF1Sj1aUTKEqmG/iFPQlFw\nv/4sno/exnTGBdhnzOeZpflMXPsuE0q+I/TqWzFOmxH07z3Q0Njq4fGPN2F3KSw8efhuDcWh9+Nf\nCEFNs5v8Chv5FS3kl7fQ0Ooh3KInJzmCnJRI8lIjSIsL7ZdwmaYJlv9exftrShiSFM6Fxw7FGmkO\n+vf0BoMtV4KEvXFzMjd8T0jtSpqHXOEXlAPaKuhkFc0RiW/tGhx334zl4oWYTjoNAKdH4dHFGymq\nsaPXyVx6wrBuP5X0BrUOL0sK6siItDAtK7pHTwdd2VEIwaqSZgqbXMzNsxJj6XlejMurcP9765El\niZvnjUR96G9oNVWEPfIykr4HTlBZQQ61IdyhbQ2TByr2JnFS7E7KXn6XkmfeQDIYyLr6fFLOnXPA\nEKbt6I5NO1L5jtuDyvdAgVMTFHtVLLJEukHutW5UR9Aa6nA8+He0siJCrr8Dw6ETAfAqGot/qsD+\n3r+ZXbAE0+l/wXLOJfs8TDRQsa26lSc+3oQ10sxVs/I6beIdzPFf3+IOkCg/mappdmMx6hiWHEFe\nqp9MZcaH9llDqarRyUvLt1Le4OSMIzKZclBwioOChUHiFCT0tyFlTz1Rhc/iSJyOJ2Zc23LJ5EAy\netAckSh//on979dgmncOlrP9FWOtLh//+nADXp/GDXNG8vWGaj5eW84ph6Vx8mFpQXd51ti9LNlS\nR1aUhWMye0aaYM921IRgWWEDdU4f8/KshBm7T3YUVeOxJZuobXZz2xkHERFiRGtqoHXBfEyzTsM8\n/6IenatkcCGZnf6QnTZwKzf3BnFSHS7KXn6X4mfeQNLpdhAmy8Amlb1FVzYNhsr3QIBHExT7VGQg\n06jDEITz9637BeeDf0dOSCL05nuQ43fOLbRaw/n4u2388NZizv7jDYwTjyLiutuQjAcW8e4rfthc\nx0vLt3JYbhx/OWZIl41r+3P8Nzu8FFS0sLncRkFFC+UNTox6maFJ4eSmRpKbEkF2YjjGbubMaZpg\n2a8VfPh9GbkpEVxw7FBiIwbe/36QOAUJ/WpIoRJR9DJCZ6Y1/Zw2XZUdFXThqIWl2G++HMPRx2G5\n/EYkSaLJ7uGhDzag18ncMGdE2xPJL1sbeOHzAoanRXHxCcMICVIJcrXdw8db6smOsjC1F6QJumdH\nRRMsKajDo2jMyYvH3I1BKYTgxS+2sq64ib+fcdBOLUm83yzH+fA/CXv0FfTZOT04W+EXGZW0Ad2S\npT+vTdXhouyV//oJkySTedV5pP5l3gFLmLajI5uqQtCgCuoDooNxeplYnRRUb83ehiL8nidF+MmT\nuZchGaFpeN5/E/cbz2GcORfLhVcjdSA9sd2uVY1O/vvmCmZ/8zSW1DRi7/gXcmRUX3/Ofg9NCD78\nvpRPfirn9CMyOXFs8h49MXvT42x3+SiobGmr3Cupc6CTJbITw9vypIYmRWDuoJ1WRYOTl77YQlWT\ni7OOzuLIEfEDysvUHoPEKUjoT0Oa677BUr8a29AFaIZASb7O51ezdoeglDVhv+kS9CPHEHLDnUg6\nHXU2Nw9+sIHIEAPXnjJiN9GzykYnT3y8CZC4+qQ8kvuY91Rt97CkoJ6hMRamZkT3+oLvrh3disaH\n+bWYdDIn51j3qAv13uoSlv9eyf+dOoqshPCd1gkhcN7/N9SKUsIffaXDCb1TtEkUmBGegalY2x/X\npup0U/bqe5Q89TpAgDCdii7kwCZM29Hepj7hJ0uNqkCHnzDF6KQDJoFVE4JSn4ZTE2T0ovpPs7fg\nfPgOlD9/JeSqWzEefVyn27a3q8en8t6Snzn4vQeINQji7n0MfWpGn37L/gyPT+WFz7ewvqSJy6bn\ncnB291pm7Us5EpdHYUtla1ueVFGNHSEEmfFhbfIHQxLD+Xp9NYt/LGNkehTnTxsy4LWlBolTkNBf\nhtS5a4jc9hz25FPa2jEgqf78GsWIWuXBftOlftf37Q8jGYxUNjp58P0NJMdYuPqk4R2ye/DnPj23\nrID8ihYuOWEYY3uZ91TV6vc0DYsJYUpGVJ+eEnpiR7tX4f3NdVhDDJw4JLbTG9WXf1Tx71XbWHjy\nCEZndayarjU30nrFfIwz5mI555KenbTeg2yxozkjQB14ekTBvDZVl5vy196n+MnXEUIjc8F5pJ1/\nKrrQ/43S4OLiJhITw0hLi6GipiWg8i0wSmDVyUQeQISpPYQQVCr+35pmkInsZg6LsnUzzvtuAZOZ\n0Fvu3aMsSkfX6upfi5CfvJPsllJC//YAYWPHdbL3gYuGVg9PLNmEw+NPAk/tgSzLQNJx8/hUCqtb\nyS9voaCiha1VrfhUjVCTnvlTspiUZx2wXqb2GCROQUK/GFJTiCx6Ac0QRWvamYEQXaCiS0io9Trs\nt1wBsp6we55ECgmlpNbOvz7cwNCkCC6fkbvH2HJ7/Y+TJ6RxysSe5T1VBkhTXmwIR6X3jTRBz+3Y\n6PLxweY6hkRbOiRtv2xt4Kmlm7nw2KEcOTKhy2N5v/sS54P/IOyRl9APzevReUtmO5Leh2aPYqCF\n7IJxbaouN+Wvf0Dxk68hVJXMK84l7cLTD1jCpNlb0SrL2l5qZRmtWwpxVVSyIeogom+8loicFMyy\nRLxeJqIvopX7CYQQ1KmCGkUjSS8T18XcIoTA+/liXIsexjB5KiFX/h+SZc8e2c6u1bKaFgruvZuD\nt63G89cbSJ49p0+/ZX9CYVUrj3+8icRoC1fOzOtxe5qBRJx2hU/RKKlzEB9p6jS5fSBikDgFCf1h\nSEvtSsyNP9E8dIG/ZxQC2WIHnYLaZMZx+w1ojfVt/ee2VLbwyEcbGZMVzUXHD+tRZcOvhQ08//kW\nclMiuPTEnG7lPVW0evhkSz3DY0M4MgikCXpnx2q7h8UF9RycEMZhKZFty7dUtvDg+xs46bBUTp6Q\n1q1jOR64DbW0iPDHXkEy9GQga8hhNoRiQLgHlvx/X65N1e2h4o0PKXriVYTPR0aAMOnDBmZYsicQ\nbhdaZTlqZekOglRRilZZjrA1+TeKjEZKSsUTl8xmZwgx2YkkfLsE7K0si5lK7bAjmDNnFNmdeDIP\nRDSpGuU+jTidRGIHWk/C7cb59AP4vl2B5ZKFGKfP7fbc0NW16vT4+P6RRRyy+i1qjjmd3IXXIMt7\nWUdNVpB0KkKTQZMDOm79R5jXbK7l5eVbmZRn5bxjhvSqWm0gE6f9FYPEKUgItiF1rgoit72IPfVU\nvJF+AUvJ5EQyulBbwnDedztK/gbCH3oeOT6JDaXNPL5kU9sA642uhj/vaTMguPqk4V3mPZW3uFm6\ntYERcaEckRYZtKft3tqxuNnFp1sbOCo9ilHxYVQ2OrnnnT+ZkBPHecdkd/v8NFszrQvOwnj8yVjO\nu7xnJxHIO9Nc4QNKVbw3NlXdHire/JDiJ15D83jJuOIc0v56Ovqw/afVDIDwetCqKwOEaBdy1Fjn\n3yg0DCk5DS0pDTUpFW9SGp6kVFyJqaih/nw4e7OLlkYXI4bEEI1KxMrF1L3wDPVyJIvch2M+ZBzz\nZo/g0LH/G30M7apfZTw8oPW03UutVpTiuPcWhNNB6C33os8Z0aPj7ulaFULwyztLSH/7YSqHjiP3\nznuw7C2vp6QihzWDkJBkETgf/ORJkxGaLkCmdH0mVpoQfLCmlKU/l3PmkZkcf8iek8A7wyBxCj4G\niVOQEFRDaj4itz2Hak7Ennqqf1kgj0Z1huF67BF8q7/y95/LyObXwgae+TSfY8ckccaRmX2auJ0e\nhRc+38KmsmYuPiGHQ4funvdU1uLm060NjIwLZXIQSRP0zY6b6h18VdzEESkRvPZpAenWUK6albcL\niRSAitTuBdpOf3u+X4Ptvn8R+/CdGHKydtlWRULDI5LxsXvoTzI5kQzuAaUq3hObah4vFW9+RNET\nr6K63GRecQ5pF50xoAmTUBS0msoOvUeirsZ/dzOZITkNkZyGmpiKLykVd1Ia7sRUlIgokCT0gEmW\nMEpgkna8v/DcWtZ8X8bTj88kJtp/k7Zaw6nJL/KLOH75KdtiD+KxhoOxpKUyb/YIpk7NwmgYuBIV\nwYAroPVkkiDDqENd/RXOx+9GP2IMIdf/Ezkics8H2QXdvVZLf/wF6aFbaA6LJ+aOh0jJ6O/m5QI5\npAXAn8sIIGsgqUiy5v8sq0hS4H03YtWeTHVNrNxelec/L2BjmY3Lp+cwJqt7SeCdYZA4BR+DxClI\nCKYhQ6o/x2T7k+YhVyD0ITvEFj0hOF98Fc/idwi7+0n0ww/i+811vPB5AadMTOfkCalBITGaECz5\nsYzFP5Zx0oRUZk9Mb3uiLLW5+XRrPQfFhzEpNZikSUFCITbGTFNjy+6ERtpOWjomPAS2sbk9OH0+\nZMVHUpQBWdLa7af5J7ZO4L8cdQh01DzwPt6iGpKeuArJaMZfL6VDCB1IGkaqcYkcnCKXnSe+gacq\n3i2xRo+XireWUPT4K6gOJxmXn036xWeiDx8YYUehqmj1NX5SVOHPOfJ/LkWrrQJVBYMRKTEFLdnv\nOfIlpeFNTMGZlI4SHbuDHElglKU2cmSUJEwSHeb2ff7FVh5/+gcevPd4Ro2Mb1ve3qZKwUZczz2C\nsq2ATUOm8XhJNpLJzMmzcpk1I5eIAahDEyx4haDY4SbszWcJ+fQ9zGdfjOm0vyD1MoTWo+KQ8gpq\nb70G1e2h+cq7GH9U93rz9QZt0i/2KBDdIcSiV8TK6RIsXVtFTZOXeROzSIwKoa9zyCBxCj4GiVOQ\nECxD6h0lRBS/Qmv6fHzhOYFydxtC0eN65xPcLz9F6D/+heHQw1n1ZzWvrSzkzCOzOGFschB+xc74\nLZD3lJMSwSUn5NDgUfh0az2jE8I4PKWvpEmgpxmDVItRqkVPEx0dTggZgbyDuARe/s/+5UL4/1aF\nzNotTfh0evRmMyOtEYQYjWwnPCKwT/vjtD8W7Hj601pstF5xFsZjZ2I5f8Fu52WkijD5NxRiaNXG\nImgXmhsgquLC5wVFIc4aTn29w//T5MBvlCSQQPMqVP7nY7+Hye4k47KzSbv4TAwRe58wCSEQDXU7\nSFFlO4JUWQ6KD3Q6SEiGpFSU5HSUxFQ8Ae+RN8YKOh168HuLZKmNFBkDJKknmkpbtjZw7Y3LuOiC\nscw+efhO63Yd70LT8H39Ba5XnkYAG0bP4bkNkTS3eDj2mCHMnT2c1JSIIFlq4ECrr8V+/60oleU0\nLfwnyeMO61PvvZ7Oo5rDTsnfbsRYks/Ps69j+tnTMeqD7OkLhOiCO553J1Z2j5t6uwtrlIHwEP9v\nEILdvVSaDiG6HwocJE7BxyBxChKCYkjNS1Ths/hCMnGknEKbe1gC9ydrcD56FyHX3Y5xygl8wrV1\nmgAAIABJREFU9ksF735XzPnThnD0qMQ9Hlpqrcfwyyf4DpmBiIzf4/bbURXIezKGGkjMiubghHAm\npkT0ijRJuDFKtRipwyDVIks+FBGBV8TjE1Y0zETHRNLQ6GojNN192tKE4PllBWwqs3Hr6QfxW4OT\naruHuXnxRPRS4NP3wzc47v0/wh56Hn3uqN3W67ATLq9FQqNFm4DKjhvj3lYV12zNqNvyUQsLULf5\nX1pF6XY32u7ba4L6ekFVpYaqQkKiTEKChN4gB6o3/cRqx2cJ5Haft///A58lSd59e4l2n9utb3d8\nafs6QGtqAI/bv96aCMmpqElp+JLS8CSm4k5KxWtNAr0eHbQRol3Da8EQnGxp8XDltUsZkWfl5huO\n2O1672y8C5cT93uv4/ngLeQhuWyecCZv/uChYEsDh01I5dQ5Ixg1cuAK+/UEvt/X4nzwH8gpaVhu\nvpvKiDhaNUGGQSasly03ejOPClWh+pH7MXy7jM8nnMe0BeeSGB2svKddQ3T9839bvamWV1ZsZfLw\neM6dmo1eJ+1CrFSQtY49Vp0SKx0ICas1YpA4BRmDxClICIYhQ6uWYmjNxzbkCoTOFChxV/Cs2oDj\nrpux/PVqjCedzkc/lPHJT+VccsIwDsu1dn1QIdCvX4np2zdAaGiRibjOuAsM3Q8f5NfZWV7cRF1l\nCyeNSGDcsLhu7qlhoHGHV0lqQRNGvMKKj3i8wopg5ye43trxP98WserPGm45dRQZ8WGomuDjLfU4\nfCpzc61Yeplv4nj4n6hbNhH+xOsdtn2QUAiTf8NILa3iYLwiJbCmf1TFhRBotVU7CFJhPuq2AkRD\nHeh0yOnZ6LKHoc/ORc4aimS2EB1loanJAQI0n4/qz76l5I2l+OxO0uZNI3Xesei3J9gKAUILvLM9\nltDub63dMv/57LxN+xcdL0cE9vMfXxMadkXDFRGFOzEVT0IyGE3oYAchknd4jkxBIkedQVU1/n7H\nVzQ0OHn84RMxmztXuO70GNWVuF9+Et/3qzBMm0HJxNP574oqvv+xjGFDY5k7ezhHTs5A381WFAMJ\nQtPwvPMq7rdfxHTyGZjPX4Ck1yOEoCogBJpqkInaixVgQgha/vtv1DeeZsXQE8m87Aom7Glu7AZ6\nHqLrGTRN8N6aEpb9UsFZR2Vx7MHdLS7Y1WPVCbHSJEz6EFx2CRQDfq/6IPqKQeIUJPTVkAZ7IeEl\nb9CScR5KWDaS0YVkcuL9uQz7rddgmj0f8zmX8PY3RaxcV82VM/P2qBwr2Woxffk8uorNeCedgZJ3\nJJb//A01JQ/PCVfSYWxsFxQ1u1hW2MAhieFUl9lY/GMZs8anMmdieoeVezIOjFKtnyxRD6goRAe8\nSvEodK1z1Bs7fv5rJe9+V8x1s0cwMn1HWwaPovFhfh16WeKUnDgMvZjItVYbrQvOxjjlBCwXXtXJ\nVgKLtJUQaRNukY1DjADkPquKC1VBKyvZiSCp27YgHK1gtqDLHoYuKwfdkBx02TnoMrI7lFCwWsOp\nqWyi6t1P2Pboy/gabaRfchYZl83HELXvwkdCCJpUQbWioZMgSpbaco/6mxx1hdf//QcfLt7EU4/O\nIKWT8Fp3r1PfHz/jeuFRtJoqzGdeSMO4E/nw0218sWIrEREmZp80nOknDCU0dOBUYXYFrcWG8+Hb\nUTauI2ThbRgnH7PbNvWKRpWikaiXidP1TN+qr/OoZ80q7A/+g1+to6k982rOmDK09w1n20J0IQhf\n8Cv3XN6AAHF5C1fMyOWgzGBKWgg/gdIpmEIFXtXpX6zqEYoRoRgHdH/NgY5B4hQk9MWQkuomsvAZ\nvOG5OJNmgt6LbGlF2VRH6w1XYzjiGEyX38RrKwv5saCehScPZ3haF32bhIZ+3XJM372FZs3Efdyl\niGh/DpRcuw3LO//AO/ksfGNndnle25pcfL6tgUOTIpiQ7L+B/L6tkeeWFTAs2a/3FGoGAw3+EJxU\ni05yoAozPhHvJ0vE7Zz/swf01I5rC+p59rN8Lj5hGJPydg9BOrwq72+uJcZiYPqQWHS9yL/wrf0O\nx903EfbAIvTDR3e6nYE6wuVfUAinVRuHwNRtVXHhdqEWF+4cbisuBJ8XKSoaXXaunyhl56Abkouc\nlNqtBFzNp2Bf9iXr7ngGb0MT6ZecScZlZ2OI7nnFUzDh0ASVPhWvAGvgBjsQFLd/WFvOHXev4u+3\nHs2kiZ1rf/XkOhWqgvfzxbjffB4pNBzLRdfgHD6ez5ZtYfEn+bhdCiceP5TZp+SRED8wkvE7gpK/\nAcf9f0MKDSX0lvvQpaR3uq1N1SjzaUTrJJI70HrqDMG4ISlbNmG7/TpKDbF8MfUK/jp3LHERPc1N\n6t8QXZ3NzeMfb8Lr01h4StfSL32F36YtoPMh6X1IBi+SrCFUeQeJUvUMhEKW/QWDxClI6IshQys+\nwuAsoXnI5aCXkUNtKGU2Wq++Bn3eKIw33MkLK7axvqSJ62aPZGhSeKfHkpqrMa14Dl11Id4jzsI3\n5oS2HJLt0G/8GtPyRbjn3oaaNrLD4xQ2OfliWyPjkyIYl9z+qVvQaKvjj62bGJniJi/Zi4SEj1h8\nwopXxKPS+2qynthxU5mNhz/awNzD05kxLrXT7ZrdPt7fXEdmpJljMnvXR8/x6J2om9f7Q3amzidh\nGScR8k9IeGjVxqMQvZuqeFs+0rYtbd4krbIMNA05McVPjrKHoRuSiy47Bykmrvs6VF4fnqpaXBXV\nODYVUvLcW/jqG0m76AzSLzsbY8y+bZTqE4Jqn0azJoiSJRINMoYBQJgAKqtauWrhp8yamcMF5x3S\n5ba9Ge9aqw33Wy/hXfo++jHjsFy8EDUpna+/Keb9DzdSUmrjyMnpzJszgtyc7obD+x9CCLxL38f1\n4mMYjjqekCtuQjLvmYg4AnIFYbJEWjutp64QrBuSVltNy+3X0mxz8tLYS5g39/Bu93aD/g3RFVS0\n8OQnm0mNDWHBzFzCLP3bpml3m/rDfJLei6T3gk4BJIRiAMXofx8gUioDFYPEKUjorSENrfmEl75N\nS9aFKKGpyKE2tAY7LVdfjxwbj+HvD/HMF0UU1di5Yc5I0q2d6OkIDcPvyzCu/g9q4lA8x12KiOy8\nxYhx1Svo89fgmn8fInznSXpro580HZYSwaFJEUh4MVDfFoLTSW58Wii/FOn5cr1gfN5wxg7tup1J\nd9FdO5bVO7j33T85YkQ884/O2iOxqHF4+Si/jtHxYRye2nNvi2Zv9feyO+pYLBdds4etVcKkdRgp\np6UmEedWO1rFn6gFRShbChH1tf58pLQsdENy0LfzJkmhnXschBD4Gm24K6pxl1fveK+safvbU1Pf\nlhBuSrSSdPpMxv79UlrFvu2hpwlBvSqoUzSMEiQbet4stj/hdissvGEZUVEm7rljGro9hHf6pMZe\nWoTrhUdR/vgF46xTMc//K1JoOL/9Uc37H27k518qGTUynnlzRnDY+JQ9nkt/QricOJ+6H9+aVVgu\nvQ7jCaf06MHDHSBPhoDWk34P+wbzhiScDuz33Ypr80YWjfwLedOOYN7kjD17nfsxRPfthhpe/bKQ\no0YmcPaUrN6HEXuAPdtUQ9L7QO/1v0siENIztAvpDZyxOhAwSJyChN4YUlKcRBU+jSdyDM7E45BD\nWhAuBy3X3ApCoLvjCZ5cUUZNs4sb544kqRN3rtRUiXn5IuS6EjxHnoNy0LTdvEy7QVWwfHAXKF5c\np90Ben84bUujkxXbGjg+S2JUnKNNKkCgw4e1zaukEYomBJ+sLefDH0qZOS6VuYd3nPfUE3THjg2t\nHu5+Zx1DksK5Ynput7+z1OZm6dZ6JqVGMiahc69dZ/D9vAbHHdcTdv+z6EfurBmzUz5S22szwu5A\nMpuQs4ehz81EzhiBLnMEuvSs3ZLNVbdnJxK0GzmqqEZzeQDQhVgwpyVhTknEnJKAOTURc3LgPSUR\nc1I8ssn/P92X5chCCFo1f9KwKiBRLxPdw7yX/oYQgoceWc2f62t56rEZREbu2ZvSV5sKIVDWfovr\nxScQjlbM51zqJyU6HcUlzXzw0UZWflWE1RrK3NnDOW7aEMzm3lWH9hZqWRGOe28Br5eQW+7tcf/G\n7fAJP3nSgCyDDmMX4zXY16pQFFyLHsaz4hPeOWg+jaOP4PLpOUSHdVYcEyjqQAQ1RKdpgndXF/PF\nr5XMPzqbaWMS99oY6JlNBeiUgDfK19Zepo1EKQYGSdQgcQoaemPIsLL/ovPUYMu+BCnEC5qD1hvv\nRKurRbrraR79qgq7S+GmeSM7jtFrGobflmJc8w5qynA8x16CiOh+JYnkaMby1v+hZozBe9z5NDor\n8HiryIlpxSgr7aQC4vERQ2cVGb8XNfLcZ+3znno/we/Jjg63wj3vriPcYuD6OSP32MR4V+Q3OPmy\nqJHjsmMY1ou8Aufj96Cs/42QhbehlhT6w22FBaglheD1IEVGB/KQ/AnbxuwEolIq0CQLjU2pOKtr\ncW114C6vwV3hJ0muimo8FTV46xsBkHQ6TIlxfgK0nQht/xwgR/rI8L2aN9IbuAOEya4JYnUSCXp5\nnyV8d4WPl+bz3As/8/CDJ3Q7RBYsmwqfF8/id3C/8wpyQjKWS67FMPpQABqbXHy8NJ9PPi1ACMGs\nGTmcPCuvTb28P+H9+gucT96Hfsw4Qq79O3JY34oIVCEo9Wm4NUGGUUdIJ+SpP65VIQSeD9/C9crT\n/DD6JD5NO4bLZuTuVEiyHf0RonN5FBYtK6CgooUFM/MYlbF3w+V9sqmktuVFofP5lwVIlD+k97+Z\nYD5InIKEnhrSaFtPWPn72LIvRouIBkMr9n88grJxPeKOp3l4dSNCwA1zRxLVQcWN1FCO+YtnkZsq\n8Bx1HsrIqd2qktuBgFRA9a/I/30F/ZRD8Y4cTosvllBzMl4Rv5tUQFeobnLxxMebUFTB1SflkRrX\nuxYdXdnRq2j868MNONwKt552UK8J2m/VrfxQYWPWsDjSepg0Khx2Wq46B1FbjZyQ3EaQRHImPmME\nXqfXT4h28hhV4a6sQfhUAPTR4ZiTtxOhHR4jS4AcGRPikPXB8y7sbeKkCkGNotGgCsJkiSS9jHkA\nheXaY+OmOm685QsWXDaBGScO6/Z+wbap1liP+/VFeL9cimHSVMwXXokuwV/Q4XYrrFi5jQ8Xb6Km\nxs6UKVnMmz2crKBWYfkhfF5cLz6B97MPMZ93Kaa55/RaBXxXaEJQ5lVp0QRUtVJXaqO+3kldvYO6\negdpqZFce/VkWlpcQfm+XeFdswrnv26nPOcwHkuYyazDszh5QtoOj/X2EJ0nBOENDjmttbl5fMkm\nFFVj4cnDO40a9CeCd60K0PvacqMkWSBU3Q4S9T+UYD5InIKEnhhSUuxEbX0ad8wEXEmTkSwtOB58\nDt/Xq1D+8QQP/ezEYtRz/ewRuycOaiqGn5dg/PE91LSD8Ey7GBG+ez+5jiDjxCjVYJDqMFCHFJAK\naPq5iLBvP2P9tBvJHjW2pz+9DS6vwoufb2F9aTMXHT+M8d3We9qBzuyoaYJnPsunsKqV284YTWx4\n39pYrC5rZkOdgzl5Vqwh3a/6c24ro375NzgKinDXNgQ8R9Uozf4KHMmg3zlk1uYxiic6tZXoFDtK\nbA4uZRhC2TvNSfcWcWovLyBLkKyXCZcHVliuPZqaXCy4Zinjx6Vw7dWH92jf/rLp9vYt6rYCTHPP\nxnzaeUhm/3WiaYK1P5Xz/oebWLe+hkMPSWLenBGMPSQ4jYW12ioc9/8NrbaakJvuavN8dfvcFY2G\nRqefDNU5qKt3tiNG/s9NzS5OOHM0U2cP57M3fqdicx1xcSHExYaw5vsyYmJCuOn6yaSn9U/Vp1Kw\nEcedN+CwpvJQ5pkkp8Vz6Yk5RIQYgh6iyy+38eQnm0m3hrJgZl6fPPE9hSIEFT4NnxCMsIbjDToZ\nDcgd6L3+Kj2ditCkHSTqANeMGiROQUK3DSkE4WVvI/tasA29EDnMjvP5t3C/9188Nz3Eg+tl4iJM\nLDx5OJZdFK/luhJMy59FttXiOfovKMOP6oaXSWCgDou8DaNUu5tUwMZ6H18VN3Fe9RLiK//wJ4uH\n9b6ppCYES38q54Pve5f31JEdhRD8++siVm+s5W+nH9Rrb9aux1xR1ERZi5t5w+OJ7ERdXHW5afr+\nV+q/XEP9itW4isowpyYSMXp4gBQl7BROM1pjunxCN0llhMl/4NXF0KocClr/9zHbG8TJoQmqfCpu\nAfEDSF6gM6iqxv/dtgKXy8cjD56I0dizkEN/2lQIgW/V57heeRoksJy/AMOUE3YiRwVbGvjgo418\n/W0J6WmRzJ09nKlTet9Y2PfL9zj/dTtyxhBCb7oLOWbnhx5V1WhodFFX7wgQI+eOzwFi1NTkahOq\nj4w0YY0LJS4uBGtcCNa4UKxxIcTFhWK1hqCLtlAjIF4nER+QK7DZ3Dz57FrW/lTOFZeO54TjhvYL\n6dZqq7D/83pUReGVQy+mVI7ilvlDSUrUgqb0//X6Gl5fWcjRoxKYf/TeSQLfDofm9+zJEpglCZsm\niA6EyvutglXS2vKi0Hv9y1SDPzfKZzzgQnqDxClI6K4hjc2/E1a5BFv2JYhYE+73P8b57HM4r7qT\n+7eFk2EN5cpZeZjaT4CqguGnjzCu/QA18xA80y5ChO7JTa9glsowS0XocOAVybhEFgrRbH+a2ljn\nYFVJE0elRzEqxoTlvTtAknCdejvo+vZ09EdRI4s+K2BoUjiXTc/t9tNWR3b89Gc/EbthzkjyelER\n1xlUTbB0az0tHpW5eVZCAjZ3FpVTv3I1DV+uoXH1zwhFJXriWGKnTSLu2MmEDsvs04Suo5kI3VqE\nJNOiTESjf7V7+nOQt5cXiJQlkgaQvEBXePHlX1i2fCtPPTaTxISe239vkNH27Vt0Q3KxXHod+mE7\n98yrrXOw+OPNfLpsC2aTnpNm5TJrek63GwsLVcX11kt43n0Vx9Fz2DZhHvWN7l2IkZPGJhea5p9K\nIyJMfhIUG4LV2o4QxYUEiFJot4hoi6pR6tOI0kmkBMhTXFwYL7z0Ey+98iuTDk/jmisn9os4qHDY\ncdx/K8q2An46ZSFHnzuWwhKV3ITEPhF+TRO8810xy3+r5Owp2UwbkxTEs+4aIlC5Wq3s0M+SJQl9\nuJlN9Xa8AhL0MrH9XpwhDkjNKCEEzZpAD2QnRg4Sp2CgOxOp7LMRufUZXHFH4M0Yg2fllzjufQj7\nBTdwX00Kw1MjuWx6zk5PJ3JtEaYvnkW2N+KZcgFK7qQuvUwyDixSESapFJBxiwzcIhONncNCG+rs\nfF3SzNEZUYy0+m8ckr3Rnyw+ZAKeaRf13hgBbM978gXyntK64Sna1Y5rNtXywhdbuHx6LhP6QdvG\nq2osXleBbt168vI30PTVGpyFpZhTEoidNpm4aZOIOXI8+rC+e7naQ5LcROjXotPstKqH4iM4cg4d\noT9u8gNdXqArfLu6hHsf+Ja7bj+GcYf2rjn23swba9++xThtJua/XI4cvXN43uH08vnyQj5avIlm\nm5vjpg1h7inDSUwMo7nZTd0uIbO6egeOqjpOKnmXdF8VzzCNn8kmPNxIXKzfK7Szx2jH36Ze9n7s\nCM6AXIFFlkg3yCTG+/uqbS1s5L4Hv8WnqNxy45EMz+t7+5RdIRQF17MP4V35KfL113HTH4nkpkZy\n8QnDCOugzc4ef4tHYdFnBRRWtbJgZi4jOkg+7y8oQlDm03BqgmSDTHS7e4jVGk5tbQsNqj/30BAI\no/e2n2DPsD2k59tvNaOEELRoftt5BaQYZHIGiVNwsMeJVAjCS95A0jy05p2J7/fvsd9yBy1zLuJe\nRx7jhsVxwbFDd2iMKD6Ma9/H8NNi1KHj8Uy5EBHa2UAUGGjALG/DSDUqEbhENh6Rgr9R7s5YX2vn\nm9JmpmREM2IXXSi5YjOW9+/Ec8xFKKN2b6fQU7i8Ci99sZU/S5r463HD9kh+2ttxfUkzjy7eyBlH\nZnL8Ib27wXV6XiUV1K9YTf3KNTR+9zOqT0EbPZLcWUdjPXYyobnZ/Z+bo3MTqt+IWSnHqeXiEjn0\nx5NYULVx9gN5ga5QWmbj6us+5fR5I5l/Zucq8HvCvqhU9K37Bdfzj/jbt5xxAaZTztitxY6qany3\nppT3P9xIwZYGZFlCVf1TYFiosY0QDdfVMPXP19BCI2k852ai84YSF2vpsC9ff8OjCYp9KhJwUHw4\nHps/H8fl8vHMcz/x5Vfb+Ms5B3PavJF9ljvZDXoXno/ewPX8q3jnXcjj0ljcPo0FM3PJTuy+ZElt\ns4vHlmxCE7Dw5OFBbDK8Z9gDoTm9BOkGHaZdbNT+WlWE3yPVpO4rD3FAM8oQCOvh14zSPBZQB1bb\noe1zXY2i4REQo5OwBsKdg6G6IGFPhjQ1/kRo9efYci/AV1FMy7V/w3bUKdwtT+Tog/xx8O0uYrl6\nK6blzyI5W/Ac81fUYRM7OaqKSSrHIm1DRyteknBpWSjE0tkN+M9aO9+WNjMlM5oRnXiADH98jvGb\n13Gddgda4tCemKFDCCH4JJD3NP3QFE6dlNHpBLjdjiW1du77759MGZ3ImUdm9fkcNI93R67Sl6tx\nbi3BlJxA3LRJxE2bjP6wQ/iozEFqhInjsmL2GhGQzHaMUhWhni0oxNKqjUUQ3JtXsAb5/iIv0Bmc\nTh9XX/cpyUnh/PPvU/t0E95XEg/+9i1LcL/5XKB9y9XoJxy52/UqhCC/oAGH09uWX2SxGPyl+Uve\nwf3ykxinzcRy6XVdKuHvLShCUOnTaNEE1sANavt8+NXXRTzx1I/k5MRy0/WTiQ1WZZqkIofZEB4L\nnpXf43zkDnRHHcc7OXP5fmszZx6VybFj9px4v6nMxlNLN5MVH8blM7qfltBXCCGoVQW1ikaMzl+9\n2lGYsaNr1RloeeQJ5CTG7pOcxIBmlMGDZPCgucJBGRjkya5q1CgaTgHRgTw8Yzv7DBKnIKErQ8re\nRqIKn8WZOAWXFkLLlTfTPGIid0acwPRxqcyblO4fnIoX4/f/xfDrxyg5k/BMOR8su+unyLgwS0WY\npRIA3CIdt8hCo/MJRdEEf9ba+b7cxjGZ0eR1FTYTAtMXz6Ir+xPXWfd14enqGdYVNbFoWT7ZCeFc\nNiOnQ3e41RrOxq113P3OOoanRXLJiTm9HtCu0ko/UVq5msZvf0J4fUQddjBxx0widtpkwoYP2WlS\nrHN6+XBzHSOsoUxOjdxL5ElDDrMh+byE+zYgIWjRxqMSvOa7fR3kqvBPzvWqIFT2504MVHmBziCE\n4J77v2HrtiaeenQGYWF9m6D3pagodNy+RZfe9QOGcDpwPnEvvrXfYbniRkzHztpLZ9t9iFATmxoc\nGCRINeiwBK6zyqpW7nvwW2pq7Nxw7WQmjE/p6zftVkWn5K/HcdeNyBlD+H32tbz+Qy0HZ0dz4bFD\ndyvU2Y5Vf1bzxlfbmDo6kbOOyupVL8zewBcIzbk0QapBJrKLsFtn1+quTbaT9TLh+0ilXjI6kUwu\nNFcYKP1fMNMZnAEPkz2Qs5mgl3fz4MEgcQoaOjWk0IgofhUksMUdTstVN9Ecn82difOYe0Q2M8f7\ne6zJlfmYly8CjxPPtItQh4zf9UDoacQiFWGUqlAJxS2ycYtUoONB3epVKLG5KWl2U97qQROCYzKj\nyY3tRr6O4sXy7j/AYMY197Y+J4tvR02ziyc+3oxX0bh6Vh5pu4QKjSEmrnt2DTFhJq6bPaJH1Sia\nx0vTD79R/+UaGlauwVFQhCnRStyxk4k9ZhKxR09AH951InB5i5uPt9RzWEokY3vgqu8TdD6/arzT\nQpjYgJFaWsXBeEVfbw5+9HaQb59YaxQNSYIkvUzEAJYX6ArvfbCR1//9O48+dCJDetCzrDPsa+K0\nHTu1b5k5D/PZF3UoVqkWb8Vx362gaf4Gvdnd16zam7Baw6mqbaEi4H2K18vEB0LBPp/Ka2/+wXsf\nbGDOycO54PxDel1F2CZ0uUsVnVpTieOO60EIbFfdzVNrbQAsmJm3U7srVRP855siVq6r5pwp2Uwd\nndi3H94DtAYaKBsDobnOlNj/XF+D3eFl5vQ8GhsdnR5PCeiuNaqCiIDuWlfq7v0FyehCMjkRrjDE\nXiZP7gBhatH8NkjYw8PhIHEKEjozpLl+DSF1X9GcfjLNN9yBTR/JnVnncua0XH/Fhc+Dcc07GH7/\nFCXvKDxHnwfm9jd3FZNUiVnahh4bPhJwaVn4sLJrOE4Tgmq710+WbG4aXD5CDDIZkWYyIi2kRZgw\n9oCISC11hLx9C77cI/BOOb93hukAbq/Ki8u3sK6oiYuO35H35PGpPPrxZhxOH7eeNqrTp7z2cJVX\n0/Dlauq/XE3jNz+hebxEThjTFoILG9HzkuYtjU6Wb2tkWlY3SWYQIJmcSAY3miMSC9sIkTbhEkNw\niuH0VQ+lN4N8uyt/f5EX6Ap/rKvm/25bwQ3XTmLa1OygHHOgECfY3r7lO1wvPh5o33JJoH2Lf/x4\nV36G8+n7MRx6OCHX3NZlP8R9je12FUJg0/zhO4MEaQZd243sl18reeiR1cTGhnDLTUeSmtJD72y7\nEF1HQpeavRXnfbeglhSiv/l+Xi018fu2Js6Zms1RI+NxeVWe+TSfomo7V87KZXja3kkCFwGCU6cK\n4gKh8o7G5IZNtbz+xh/88Wc1er1MakokZ5w2kqOOyOiy76ErMOZdAqx6Ges+GPNt5MkdhvD1P3ny\nBAiTTfOL9Sbo5U5V7dtjkDgFCR0ZUvbUEVX4LPb4yTTc/xotzV7uybuIs2eMZvKIeOTyjZhXPAeK\nF8+0S1CzdnRkl3BjkYoD4TgVj0jDJbJ2K113+VRKW/xEqdTmxqMKEkKNZESayYw0Exdi6FvpfNl6\nzB/cg+f4K1CGH9nr4+wKIQRLf67g/TUlTB+bwtxJ6Ty9NJ+KRie3nDqq015SmtdH8498R7t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m9EjpQx8oYrGXfvHWTOmt6tfQ6WG9I7R+vZVtHEbTNG9HiGo+NINr9Xzisr9rF+/REyMvwsvmIi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\nNMnNLQpZZHobEBrJLzM/578C39dab57s9hYDpVQJ8Dc4w8H/A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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# index level paths\n", "pdf[pdf.columns[:no_paths]].plot(colormap=colormap, lw=lw,\n", " figsize=figsize, legend=legend);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This model class has a second set of simulated paths, namely for the **variance process**." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "vols = sv.get_volatility_values()" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "pdf = pd.DataFrame(vols, index=sv.time_grid)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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vBj5IIqSwIlChKZcnlZ0kefws0fIUgdKMd57uQ21uQ2ttR29MEAzNoMQtSl3b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\npf1ZJ5I+d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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# volatility paths\n", "pdf[pdf.columns[:no_paths]].plot(colormap=colormap, lw=lw,\n", " figsize=figsize, legend=legend);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## stoch_vol_jump_diffusion" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The next model class, i.e. `stoch_vol_jump_diffusion`, combines **stochastic volatility with a jump diffusion according to Bates (1996).** Our market environment object `me` contains already all parameters needed for the instantiation of this model." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "svjd = stoch_vol_jump_diffusion('svjd', me)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As with the `stochastic_volatility` class, this class generates simulated paths for both the **risk factor and variance process**." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "paths = svjd.get_instrument_values()" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "pdf = pd.DataFrame(paths, index=svjd.time_grid)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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sQuFI9tXTq0w3kihZKqtMQF8kyXPbT7Bxdwdup5Vbr6phyfRS6qoLCQ8MTrhw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fMryx45z9CTD8gnr+dSr+eT1yvrI+IeqFIYUYrix9nlxdYlfyZL4Vnryql9Ksvn6seqBLXqILbQ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\nBKCBoDHVM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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# index level paths\n", "pdf[pdf.columns[:no_paths]].plot(colormap=colormap, lw=lw,\n", " figsize=figsize, legend=legend);" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "vols = svjd.get_volatility_values()" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "pdf = pd.DataFrame(vols, index=svjd.time_grid)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "image/png": 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vBj5IIqSwIlChKZcnlZ0kefws0fIUgdKMd57uQ21uQ2ttR29MEAzNoMQtSl3b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\npf1ZJ5I+d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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# volatility paths\n", "pdf[pdf.columns[:no_paths]].plot(colormap=colormap, lw=lw,\n", " figsize=figsize, legend=legend);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## sabr_stochastic_volatility" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `sabr_stochastic_volatility` model is based on the **Hagan et al. (2002)** paper. It needs the following parameters:" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "# short rate like parameters\n", "me.add_constant('initial_value', 0.5)\n", " # starting value (eg inital short rate)\n", "me.add_constant('alpha', 0.04)\n", " # initial variance\n", "me.add_constant('beta', 0.5)\n", " # exponent\n", "me.add_constant('rho', 0.1)\n", " # correlation factor\n", "me.add_constant('vol_vol', 0.5)\n", " # volatility of volatility/variance" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "sabr = sabr_stochastic_volatility('sabr', me)" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": true }, "outputs": [], "source": [ "paths = sabr.get_instrument_values()" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [], "source": [ "pdf = pd.DataFrame(paths, index=sabr.time_grid)" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "image/png": 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mCBnM4K1G0TtRzGnYg6sH0gxOfOVn4ax5mri5hEifsWiaxjdrtjFn/noUVWPm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\nBCFCxFwJgiAIgiBEiJgrQRAEQRCECPn/tQ8T1Mg0PRsAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pdf[pdf.columns[:no_paths]].plot(colormap=colormap, lw=lw,\n", " figsize=figsize, legend=legend);" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": true }, "outputs": [], "source": [ "vols = sabr.get_volatility_values()" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": true }, "outputs": [], "source": [ "pdf = pd.DataFrame(vols, index=sabr.time_grid)" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "image/png": 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z8dczhnHr6UPY6gpw+5zfef6zdTQ4A4kOrV3G/D4MefjvjPvuDTQ2C2tu/TeZ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lnDvfcvY+OmVk46YSIXfvCgHkanBw9Ka7IaIgNQeDGiucqhtxO92fVpU5qZ/dQap1Ag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\nhJgBr2mwrj7Mypogx7uGOdw+xJGOoUyRFZp8iYMsS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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pdf[pdf.columns[:no_paths]].plot(colormap=colormap, lw=lw,\n", " figsize=figsize, legend=legend);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## mean_reverting_diffusion" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `mean_reverting_diffusion` model class is based on the **Vasicek (1977)** short rate model. It is suited to model mean-reverting quantities, like short rates, volatilities, etc. The model needs the following set of parameters:" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [], "source": [ "# short rate like parameters\n", "me.add_constant('initial_value', 0.05)\n", " # starting value (eg inital short rate)\n", "me.add_constant('volatility', 0.05)\n", " # volatility factor\n", "me.add_constant('kappa', 2.5)\n", " # mean reversion factor\n", "me.add_constant('theta', 0.01)\n", " # long-term mean" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [], "source": [ "mrd = mean_reverting_diffusion('mrd', me)" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [], "source": [ "paths = mrd.get_instrument_values()" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": true }, "outputs": [], "source": [ "pdf_1 = pd.DataFrame(paths, index=mrd.time_grid)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Simulated paths can go negative which might be undesireable, e.g. when modeling volatility processes." ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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ilT3dGkmSpE88Gbg64PRQoncWQosgrFGiyzYT/NnDybB1x+dZv7uMn7y0jcEF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\nZRMJ9dK950rJSztaqO9IclVVOaX96PZrsV2SUh4yobZTaNvXe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Uu+zOfEzfy47UyipaO7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gRm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\nCCGEEGn2PyFfpl7APOf+AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pdf_1[pdf_1.columns[:no_paths]].plot(colormap=colormap, lw=lw,\n", " figsize=figsize, legend=legend);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using a full trunctation discretization scheme ensures positive paths." ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [], "source": [ "mrd = mean_reverting_diffusion('mrd', me, truncation=True)\n", "paths = mrd.get_instrument_values()\n", "pdf_1 = pd.DataFrame(paths, index=mrd.time_grid)" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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Ib8PSPOpa1MhW9Nr0Bs/dVmv32CAN7eV4ev37OGoOZnDSYHelxyzfKCy9VBQV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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pdf_1[pdf_1.columns[:no_paths]].plot(colormap=colormap, lw=lw,\n", " figsize=figsize, legend=legend);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## square_root_diffusion" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `square_root_diffusion` model class is based on the **square-root diffusion according to Cox-Ingersoll-Ross (1985)**. This class is often used to model stochastic short rates or a volatility process (eg like the VSTOXX volatility index). The model needs the same parameters as the `mean_reverting_diffusion`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As before, the handling of the model class is the same, making it easy to simulate paths given the parameter specifications and visualize them." ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [], "source": [ "srd = square_root_diffusion('srd', me)" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [], "source": [ "paths = srd.get_instrument_values()" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [], "source": [ "pdf_2 = pd.DataFrame(paths, index=srd.time_grid)" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "image/png": 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EK4EydUWZ7RBp5pufrqQgvR+8ha3/fomqZV/zh9+NZvPmMqa8vKLJ4wdkhRiU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\nz7Y75rddwaW1/jHCN+3Skk8VhX2UcBjhe4Ad0WOfJ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pdf_2[pdf_2.columns[:no_paths]].plot(colormap=colormap, lw=lw,\n", " figsize=figsize, legend=legend);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us compare the simulated paths --- based on the same parameters --- for the `mean_reverting_diffusion` and the `square_root_diffusion` in a single chart. The paths from the `mean_reverting_diffusion` object are much more volatile." ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "image/png": 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Valn697dQpYqPZ5/10KhRCFu26G4uzVcUGDXKxKFDMg8/rAakTkqSYMCArFuh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\nStGiivLgzH1FmThRUfLnV5RVq9Qd/vpLUa5cUZTu3RVFo1GUihUV5fj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x2yEkRCB9+hd/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\nq6+6CYehd+9Qjpz0NQ3atQuzYUMK3buHGDT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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = pdf_1[pdf_1.columns[:no_paths]].plot(style='b-.', lw=lw,\n", " figsize=figsize, legend=legend);\n", "pdf_2[pdf_1.columns[:no_paths]].plot(style='r--', lw=lw,\n", " figsize=figsize, legend=legend, ax=ax);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "However, the *mean values* do not differ that much since both share the same long-term mean level. Mean reversion is faster with the `square_root_diffusion` model." ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "image/png": 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fn/mHtlq14JZbfCQnwwcfuOnePZG8vCgFKiIiNU5ZFj6tBWSX+DpojPHYth3Y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\nBQXELP0c78cf4hT3ciWPHwuOg69PX/w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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = pdf_1.mean(axis=1).plot(style='b-.', lw=lw,\n", " figsize=figsize, label='mrd', legend=True);\n", "pdf_2.mean(axis=1).plot(style='r--', lw=lw,\n", " figsize=figsize, label='srd', legend=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## square_root_jump_diffusion" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Experimental Status*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Building on the square-root diffusion, there is a **square-root jump diffusion** adding a log-normally distributed jump component. The following parmeters might be for a volatility index, for example. In this case, the major risk might be a large positive jump in the index. The following model parameters are needed:" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [], "source": [ "# volatility index like parameters\n", "me.add_constant('initial_value', 25.)\n", " # starting values\n", "me.add_constant('kappa', 2.)\n", " # mean-reversion factor\n", "me.add_constant('theta', 20.)\n", " # long-term mean\n", "me.add_constant('volatility', 1.)\n", " # volatility of diffusion\n", "me.add_constant('lambda', 0.3)\n", " # probability for jump p.a.\n", "me.add_constant('mu', 0.4)\n", " # expected jump size\n", "me.add_constant('delta', 0.2)\n", " # standard deviation of jump" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once the `square_root_jump_diffusion` class is instantiated, the handling of the resulting object is the same as with the other model classes." ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [], "source": [ "srjd = square_root_jump_diffusion('srjd', me)" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [], "source": [ "paths = srjd.get_instrument_values()" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [], "source": [ "pdf = pd.DataFrame(paths, index=srjd.time_grid)" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "data": { "image/png": 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WMAfH8gw1dX5mHVTUb8+3d7DqOPSrWJ20VVyOb8OCVMCqvArT6um32sTwceL0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EEf3cncBKEq0zXKFqk7URu46KpYo73k7/197C333HAV642uEd7tT/P45lqqQnPoZhISLTKCsv1e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\nxbH4WG4xld5A6bahDGeHs5iOZ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HuBn0l6pbxK25+zzM+Z5udMm8O55udM86vL9NPACcBz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\nzMwsIzdXZmZmZhm5uTIzMzPL6H+kARMCQvaoWAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pdf[pdf.columns[:no_paths]].plot(colormap=colormap, lw=lw,\n", " figsize=figsize, legend=legend);" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "21.93069902310944" ] }, "execution_count": 61, "metadata": {}, "output_type": "execute_result" } ], "source": [ "paths[-1].mean()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## square_root_jump_diffusion_plus" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Experimental Status*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This model class further enhances the `square_root_jump_diffusion` class by adding a **deterministic shift approach according to Brigo-Mercurio (2001)** to account for a market given term structure (e.g. in volatility, interest rates). Let us define a simple term structure as follows:" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [], "source": [ "term_structure = np.array([(dt.datetime(2015, 1, 1), 25.),\n", " (dt.datetime(2015, 3, 31), 24.),\n", " (dt.datetime(2015, 6, 30), 27.),\n", " (dt.datetime(2015, 9, 30), 28.),\n", " (dt.datetime(2015, 12, 31), 30.)])" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [], "source": [ "me.add_curve('term_structure', term_structure)" ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [], "source": [ "srjdp = square_root_jump_diffusion_plus('srjdp', me)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The method `generate_shift_base` calibrates the square-root diffusion to the given term structure (varying the parameters `kappa`, `theta` and `volatility`). " ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization terminated successfully.\n", " Current function value: 1.117824\n", " Iterations: 229\n", " Function evaluations: 431\n" ] } ], "source": [ "srjdp.generate_shift_base((2.0, 20., 0.1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The results are `shift_base` values, i.e. the difference between the model and market implied foward rates." ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[datetime.datetime(2015, 1, 1, 0, 0), 0.0],\n", " [datetime.datetime(2015, 3, 31, 0, 0), -2.139861715691705],\n", " [datetime.datetime(2015, 6, 30, 0, 0), -0.19434592701965414],\n", " [datetime.datetime(2015, 9, 30, 0, 0), -0.157275574314653],\n", " [datetime.datetime(2015, 12, 31, 0, 0), 0.9734498133023948]],\n", " dtype=object)" ] }, "execution_count": 66, "metadata": {}, "output_type": "execute_result" } ], "source": [ "srjdp.shift_base\n", " # difference between market and model\n", " # forward rates after calibration" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The method `update_shift_values` then calculates deterministic shift values for the relevant time grid by interpolation of the `shift_base` values." ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [], "source": [ "srjdp.update_shift_values()" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[datetime.datetime(2015, 1, 1, 0, 0), 0.0],\n", " [datetime.datetime(2015, 1, 31, 0, 0), -0.7213017019185525],\n", " [datetime.datetime(2015, 2, 28, 0, 0), -1.3945166237092015],\n", " [datetime.datetime(2015, 3, 31, 0, 0), -2.139861715691705],\n", " [datetime.datetime(2015, 4, 30, 0, 0), -1.4984828842613584],\n", " [datetime.datetime(2015, 5, 31, 0, 0), -0.8357247584500006],\n", " [datetime.datetime(2015, 6, 30, 0, 0), -0.19434592701965414],\n", " [datetime.datetime(2015, 7, 31, 0, 0), -0.18185482991253418],\n", " [datetime.datetime(2015, 8, 31, 0, 0), -0.16936373280541422],\n", " [datetime.datetime(2015, 9, 30, 0, 0), -0.157275574314653],\n", " [datetime.datetime(2015, 10, 31, 0, 0), 0.22372971933891742],\n", " [datetime.datetime(2015, 11, 30, 0, 0), 0.5924445196488244],\n", " [datetime.datetime(2015, 12, 31, 0, 0), 0.9734498133023948]],\n", " dtype=object)" ] }, "execution_count": 68, "metadata": {}, "output_type": "execute_result" } ], "source": [ "srjdp.shift_values\n", " # shift values to apply to simulation scheme\n", " # given the shift base values" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When simulating the process, the model forward rates ..." ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[datetime.datetime(2015, 1, 1, 0, 0), 25.0],\n", " [datetime.datetime(2015, 1, 31, 0, 0), 22.65694757330202],\n", " [datetime.datetime(2015, 2, 28, 0, 0), 20.70076039334564],\n", " [datetime.datetime(2015, 3, 31, 0, 0), 18.797095034394516],\n", " [datetime.datetime(2015, 4, 30, 0, 0), 17.206256506214984],\n", " [datetime.datetime(2015, 5, 31, 0, 0), 15.80206686456627],\n", " [datetime.datetime(2015, 6, 30, 0, 0), 14.651607085467674],\n", " [datetime.datetime(2015, 7, 31, 0, 0), 13.652189090303105],\n", " [datetime.datetime(2015, 8, 31, 0, 0), 12.819382165050907],\n", " [datetime.datetime(2015, 9, 30, 0, 0), 12.14905682889466],\n", " [datetime.datetime(2015, 10, 31, 0, 0), 11.575039304260786],\n", " [datetime.datetime(2015, 11, 30, 0, 0), 11.116201461381866],\n", " [datetime.datetime(2015, 12, 31, 0, 0), 10.725486593397667]],\n", " dtype=object)" ] }, "execution_count": 69, "metadata": {}, "output_type": "execute_result" } ], "source": [ "srjdp.update_forward_rates()\n", "srjdp.forward_rates\n", " # model forward rates resulting from parameters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "... are then shifted by the `shift_values` to better match the term structure." ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([25.0, 21.935645871383468, 19.30624376963644, 16.65723331870281,\n", " 15.707773621953626, 14.966342106116269, 14.45726115844802,\n", " 13.47033426039057, 12.650018432245494, 11.991781254580006,\n", " 11.798769023599704, 11.70864598103069, 11.698936406700062],\n", " dtype=object)" ] }, "execution_count": 70, "metadata": {}, "output_type": "execute_result" } ], "source": [ "srjdp.forward_rates[:, 1] + srjdp.shift_values[:, 1]\n", " # shifted foward rates" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The simulated paths then are including the deterministic shift." ] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [], "source": [ "paths = srjdp.get_instrument_values()" ] }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [], "source": [ "pdf = pd.DataFrame(paths, index=srjdp.time_grid)" ] }, { "cell_type": "code", "execution_count": 73, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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ko8qyHZIQIsNGMuN0HoCu60uBbwI/BG4Dvqnr+nJAAS7IWIRCjBN6i5+aEg8OmyXboYhx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+MQl6Rp8ZPDnVxSEuSaKpsQye5OlJFGK6+aQQNehfAPYVgG3/mXkzz73EkMQ3LNpiq2bK7m6quq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\nWMKL8BhO2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+eDdbKe1PM7MXY/gzIMPDfeiuf2e3CVFeE+ud8Ow3U2IoMFtlepZhPWknWz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\n4hAWuUTkRiQzEwy1f0ahddTjO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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pdf[pdf.columns[:no_paths]].plot(colormap=colormap, lw=lw,\n", " figsize=figsize, legend=legend);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The effect might not be immediately visible in the paths plot, however, the mean of the simulated values in this case is higher by about 1 point compared to the `square_root_jump_diffusion` simulation without deterministic shift." ] }, { "cell_type": "code", "execution_count": 74, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "22.904148836411835" ] }, "execution_count": 74, "metadata": {}, "output_type": "execute_result" } ], "source": [ "paths[-1].mean()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Copyright, License & Disclaimer**\n", "\n", "© Dr. Yves J. Hilpisch | The Python Quants GmbH\n", "\n", "DX Analytics (the \"dx library\" or \"dx package\") is licensed under the GNU Affero General\n", "Public License version 3 or later (see http://www.gnu.org/licenses/).\n", "\n", "DX Analytics comes with no representations or warranties, to the extent\n", "permitted by applicable law.\n", "\n", "http://tpq.io | [dx@tpq.io](mailto:team@tpq.io) |\n", "http://twitter.com/dyjh\n", "\n", "\"The
\n", "\n", "**Quant Platform** | http://pqp.io\n", "\n", "**Python for Finance Training** | http://training.tpq.io\n", "\n", "**Certificate in Computational Finance** | http://compfinance.tpq.io\n", "\n", "**Derivatives Analytics with Python (Wiley Finance)** |\n", "http://dawp.tpq.io\n", "\n", "**Python for Finance (2nd ed., O'Reilly)** |\n", "http://py4fi.tpq.io" ] } ], "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": "3.6.8" } }, "nbformat": 4, "nbformat_minor": 1 }