{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Perfect foresight experiments with dolo\n", "\n", "**Fiscal policy experiments in a non-stochastic model**\n", "\n", "**Spencer Lyon** _NYU Stern Economics_\n", "\n", "**Pablo Winant** _Bank of England_\n", "\n", "February 2016" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# imports and workspace setup\n", "%matplotlib inline\n", "from dolo import yaml_import, pcat\n", "import dolo.algos.dtcscc.perfect_foresight as pf\n", "from dolo.algos.dtcscc.steady_state import find_deterministic_equilibrium\n", "from dolo.misc.graphs import plot_irfs\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "plt.style.use(\"ggplot\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this notebook we will explore the effects of techonology and fiscal policy shocks in a nonstochastic model. The model and figures are inspired by chapter 11 of Recursive Macroeconomic Theory 3rd edition (RMT3) by Ljungqvist and Sargent. \n", "\n", "We will focus on the computational aspects of the exercises and will refer the interested reader to section 11.9 of RMT3 for a discussion on the underlying economics." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A representative household has preferences over consumption that are ordered by \n", "\n", "$$U := \\sum_{t=0}^{\\infty} \\beta^t \\frac{c_t^{1-\\gamma}}{1-\\gamma},$$\n", "\n", "where $\\beta = 0.95$ is the agent's discount factor and $\\gamma$ is the coeffiicent of relative risk aversion.\n", "\n", "A perfectly competitive representative firm rents capital $k_t$ from the household and produces using the production function $f(k) = A k^{\\alpha}$. The aggregate technology in the economy is\n", "\n", "$$g_t + c_t + k_{t+1} \\le Ak_t^{\\alpha} + (1-\\delta) k_t,$$\n", "\n", "where $g_t$ is government spending, $A$ is a constant productivity factor, and $\\delta$ is the depreciation rate of capital." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The consumer faces two taxes: a consumption tax $\\tau_{ct}$ and tax on earnings to capital $\\tau_{kt}$. The household budget constraint is\n", "\n", "$$\\sum_{t=0}^{\\infty} q_t \\left\\{(1 + \\tau_{ct}) c_t + [k_{t+1} - (1 - \\delta) k_t] \\right\\} \\le \\sum_{t=0}^{\\infty} q_t \\left\\{\\eta_t k_t -\\tau_{kt} (\\eta_t - \\delta) k_t + w_t\\right\\}.$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here $q_t$ is the time zero price of one unit of consumption in period $t$, $\\eta_t$ is the pre-tax price households recieve by lending capital to firms in time $t$, and $w_t$ is the time $t$ wage households earn on the inelastically supplied one unit of labor." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The government faces the budget constraint\n", "\n", "$$\\sum_{t=0}^{\\infty} q_t g_t \\le \\sum_{t=0}^{\\infty} q_t \\left\\{\\tau_{ct} c_t + \\tau_{kt} (\\eta_t - \\delta) k_t \\right\\}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Equilibrium conditions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A competitive equilibrium is \n", "\n", "- a budget-feasible government policy $\\left\\{g_t, \\tau_{ct}, \\tau_{kt} \\right\\}_{t=0}^{\\infty}$\n", "- a feasible allocation $\\left\\{c_t, k_{t+1}\\right\\}_{t=0}^{\\infty}$\n", "- and prices $\\left\\{q_t \\right\\}_{t=0}^{\\infty}$ \n", "\n", "such that\n", "\n", "- given prices and the government policy, the allocation solves the household and firm problems.\n", "\n", "### Firm optimization\n", "\n", "The firm's problem is very simple:\n", "\n", "$$\\max_{k_t} \\sum_{t=0}^{\\infty} q_t \\left[A k_t^{\\alpha} - \\eta_t k_t \\right].$$\n", "\n", "The zero-profit condition is $\\eta_t = A \\alpha k_t^{\\alpha-1}$.\n", "\n", "### Household optimization\n", "\n", "The problem of the household is to maximize $U$ subject to the budget constraint, taking prices and the government policy as given.\n", "\n", "Assuming an interior solution and that the budget constraint holds with equality, the first order necessary condition of the household can be summarized by an Euler equation\n", "\n", "$$1 = \\beta \\left(\\frac{c_{t+1}}{c_t}\\right)^{-\\gamma} \\frac{(1+\\tau_{ct})}{(1+\\tau_{ct+1})} \\left[(1 - \\tau_{kt+1})(\\alpha A k_{t+1}^{\\alpha-1} - \\delta) + 1 \\right]$$\n", "\n", "and a law of motion for capital\n", "\n", "$$k_{t+1} = A k_{t}^{\\alpha} + (1 - \\delta) k_t - g_t - c_t.$$\n", "\n", "### Prices and government policy\n", "\n", "Imposing a no arbitrage condition on the household allows one to derive the following condition on prices (see RMT3 section 11.5.1 for more details):\n", "\n", "$$\\frac{q_t}{q_{t+1}} = \\left[(1 - \\tau_{kt+1}(\\eta_{t+1} - \\delta) + 1 \\right].$$\n", "\n", "After a normalization that $q_0 = 1$, the above equation pins down the sequence of prices.\n", "\n", "In the experiments below we will assume that the goverment policy is exogenously given and solve for how the solutions to the household and firms problems adjust to shocks to the government policy.\n", "\n", "### Other equilibrium conditions\n", "\n", "There are a few other variables of interest. \n", "\\begin{align*}\n", "\\eta_t &= \\alpha A k_t^{\\alpha-1} \\\\\n", "w_t &= A k_t^{\\alpha} - k_t \\eta_t \\\\\n", "\\bar{R}_{t+1} &= \\frac{(1+\\tau_{ct})}{(1+\\tau_{ct+1})} \\left[(1 - \\tau_{kt+1})(\\alpha A k_{t+1}^{\\alpha-1} - \\delta) + 1 \\right]\n", "\\end{align*}\n", "\n", "Here $w_t$ is the wage rate the firm must pay to the household. Above we wrote the firm's problem with capital as the only input into production. All the equilibrium conditions above are still correct if we instead assume that the firm operates a constant returns to technology $F(k, n)$ and assume that the household inelastically supplies a single unit of labor and is paid a wage of $w_t$.\n", "\n", "$\\bar{R}_{t+1}$ is rate at which the price and taxes allow the conusmer to substitute consumption in period $t$ for consumption in period $t+1$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Experiments" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will do a number of experiments and analyze the transition path for the equilibrium in each case:\n", "\n", "1. A foreseen once-and-for-all increase in $g$ from 0.2 to 0.4 in period 10.\n", "2. A foreseen once-and-for-all increase in $\\tau_c$ from 0.0 to 0.2 in period 10.\n", "3. A foreseen once-and-for-all increase in $\\tau_k$ from 0.0 to 0.2 in period 10.\n", "3. A foreseen one-time increase in $g$ from 0.2 to 0.4 in period 10, after which $g$ returns to 0.2 forever" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Enter dolo\n", "\n", "Let's perform these experiments with [dolo](https://github.com/EconForge/dolo).\n", "This will allow us to cleanly separate the model definition from the code\n", "used to exploit the results. General guidelines on how to write models are available\n", "[here](http://dolo.readthedocs.org/en/doc/modeling_language.html).\n", "\n", "Here's the dolo version of the model that we will be using." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "
  1\n", " 2\n", " 3\n", " 4\n", " 5\n", " 6\n", " 7\n", " 8\n", " 9\n", "10\n", "11\n", "12\n", "13\n", "14\n", "15\n", "16\n", "17\n", "18\n", "19\n", "20\n", "21\n", "22\n", "23\n", "24\n", "25\n", "26\n", "27\n", "28\n", "29\n", "30\n", "31\n", "32\n", "33\n", "34\n", "35\n", "36\n", "37\n", "38\n", "39\n", "40\n", "41\n", "42\n", "43\n", "44\n", "45\n", "46\n", "47\n", "48\n", "49\n", "50\n", "51 # Model in chapter 11 of Recursive Macroeconomic Theory 3rd edition by\n", "# Ljvinquist and Sargent\n", "name: fiscal_growth\n", "model_type: dtcscc\n", "\n", "symbols:\n", " states: [k, tau_c, tau_k]\n", " controls: [c]\n", " shocks: [g, exog_tau_c, exog_tau_k]\n", " parameters: [beta, gamma, delta, alpha, A]\n", "\n", "definitions:\n", " # Equations from 11.6.8\n", " eta: alpha*A*k**(alpha-1)\n", " w: A*k**alpha - k*eta\n", "\n", "equations:\n", "\n", " arbitrage:\n", " # Equation 11.6.3\n", " - 1 = beta*(c(+1)/c)^(-gamma)*(1+tau_c)/(1+tau_c(1))*((1-tau_k(1))*(eta(1)-delta) + 1) | 0 <= c <= inf\n", "\n", " transition:\n", " # Equation 11.6.1\n", " - k = A*k(-1)^alpha+(1-delta)*k(-1)-c(-1)-g\n", " # We have the states tau_c and tau_k just follow exactly the sequence\n", " # of shocks that we supply.\n", " - tau_c = exog_tau_c\n", " - tau_k = exog_tau_k\n", "\n", "\n", "calibration:\n", " # parameters\n", " beta: 0.95\n", " gamma: 2.0\n", " delta: 0.2\n", " alpha: 0.33\n", " A: 1.\n", " tau_c: 0.0\n", " tau_k: 0.0\n", " exog_tau_c: 0.0\n", " exog_tau_k: 0.0\n", " tau_c: exog_tau_c\n", " tau_k: exog_tau_k\n", " g: 0.2\n", "\n", " # steady_state\n", " k: ((1/beta - 1 + delta)/alpha)^(1/(alpha-1))\n", " c: k^alpha - delta*k - g\n", " eta: alpha * A * k ** (alpha - 1)\n", " w: A * k ** alpha - k * eta\n", "\n", "
\n", " " ], "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "url = \"https://raw.githubusercontent.com/EconForge/dolo/master/examples/models/rmt3_ch11.yaml\"\n", "pcat(url)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "At this stage, a few comments are in order. First, the model under consideration is set-up in discrete time, and the optimization problem conists in choosing consumption (a continuous choice) as a function of the level of capital (a continuous choice too). Hence, in dolo's classification, it is referred to as a Discrete Time Continuous States Continuous Controls (DTCSCC) model. Several [algorithms](http://dolo.readthedocs.org/en/doc/algos_dtcscc.html) are available to solve that kind of model, all accessible from http://dolo.readthedocs.org/en/doc/algos_dtcscc.html.\n", "\n", "The general formulation of a dtcscc model, specifies a controlled process: \n", "\n", "$$s_t = g(s_{t-1}, x_{t-1}, \\epsilon_t)$$\n", "\n", "where $s_t$ is a vector of states, $x_t$ a vector of controls taken at each state, and $\\epsilon_t$ the driving exogenous process. This equation is defined in the equations:transition block.\n", "\n", "For our model, there is essentially one state $k_t$ and one control $c_t$. Note that in this particular case choosing $c_t$ is equivalent to choosing $k_{t+1}$, but this is not true in general, for instance if there are many control for one state.\n", "\n", "Notice in the model file the addition of tau_c and tau_k as state variables. These dummy states track the innovations exog_tau_c, exog_tau_k. This was necessary in order to to have tau_c in both period t and period t+1 in the Euler equation defined in the block equations:arbitrage whose conventional definition is:\n", "\n", "$$0 = E_t \\left[ f(s_t, x_t, s_{t+1}, x_{t+1}) \\right]$$\n", "\n", "In this note we are interested in the predictible effect of a preannounced government policy on the decisions by the representative agent, not in a time-invariant decision rule. Hence we will use the dolo.algos.dtcscc.perfect_foresight module, which we imported at the beginning of this notebook. This module implements the stacked time algorithm for solving determinsitc problems. A description of this algorithm can be found [here](http://dolo.readthedocs.org/en/doc/dtcscc_perfect_foresight.html).\n", "\n", "In a perfect foresight simulation, the computational cost of adding additional states is relatively low, because one does not need to solve for the optimal decisions at each point of the state space. For more information on which variables can appear at what times in each type of equation, see the [dolo model classification](http://dolo.readthedocs.org/en/doc/model_specification.html) . " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's now import the model and display it. The display shows the residuals of each equation, evaluated at the values specified in the calibration section of the modfile." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\u001b[31merror\u001b[0m: 21, 11: Syntax Error.\n" ] }, { "data": { "text/plain": [ "\n", "Model object:\n", "------------\n", "\n", "- name: \"fiscal_growth\"\n", "- type: \"dtcscc\"\n", "- file: \"\n", "\n", "- residuals:\n", "\n", " transition\n", " 1 : 0.0000 : k = A*k(-1)**alpha+(1-delta)*k(-1)-c(-1)-g\n", " 2 : 0.0000 : tau_c = exog_tau_c\n", " 3 : 0.0000 : tau_k = exog_tau_k\n", "\n", " arbitrage\n", " 1 : 0.0000 : 1 = beta*(c(+1)/c)**(-gamma)*(1+tau_c)/(1+tau_c(1))*((1-tau_k(1))*(eta(1)-delta) + 1) | 0 <= c <= inf\n" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model = yaml_import(url)\n", "model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's construct some dictionaries to hold the shocks in our experiments.\n", "\n", "In the deterministic_solve function, simulations last for T periods. dolo assumes that if a given time-series of shocks is less than T in length, that the corresponding shock will hold its last given value until period T. Thus, to implement the once-and-for-all increase in our exogenous variables we simply need to pass the values before the increase and a single instance of the value after the increase. \n", "\n", "We do this below." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "shocks_1 = {\"g\": [0.2]*9+[0.4]}\n", "shocks_2 = {\"exog_tau_c\": [0.0]*9+[0.2]}\n", "shocks_3 = {\"exog_tau_k\": [0.0]*9+[0.2]}\n", "shocks_4 = {\"g\": [0.2]*9+[0.4, 0.2]}\n", "\n", "# also specify how long to simulate and plot\n", "T = 101 # simulation length\n", "p_T = 40; # Periods to plot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Experiment 1 (RMT 3 Figure 11.9.1)\n", "\n", "Now we are ready to do the experiment corresponding to the once-and-for-all increase to $g$ in period $10$.\n", "\n", "First, we solve for the equilibrium transition in this experiment" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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ktau_ctau_kcwetagexog_tau_cexog_tau_k
01.489956-7.701653e-260.000000e+000.5938520.7642260.2526320.20.00.0
11.538749-1.537983e-25-1.984934e-260.5923290.7723960.2472360.20.00.0
21.5915013.660075e-25-3.166242e-260.5892490.7810360.2417150.20.00.0
31.6496772.762132e-25-3.721852e-260.5845670.7903450.2359700.20.00.0
41.7147941.604646e-24-8.809961e-260.5782280.8005060.2299280.20.00.0
51.7883928.785849e-26-1.868416e-250.5701830.8116850.2235440.20.00.0
61.8720002.138415e-24-2.315947e-250.5603960.8240160.2168050.20.00.0
71.967079-2.234169e-25-1.024425e-250.5488570.8375990.2097270.20.00.0
82.0749541.758487e-24-1.372584e-250.5355890.8524870.2023570.40.00.0
91.9967425.295250e-25-1.329027e-250.5240170.8417460.2076340.40.00.0
\n", "
" ], "text/plain": [ " k tau_c tau_k c w eta g \\\n", "0 1.489956 -7.701653e-26 0.000000e+00 0.593852 0.764226 0.252632 0.2 \n", "1 1.538749 -1.537983e-25 -1.984934e-26 0.592329 0.772396 0.247236 0.2 \n", "2 1.591501 3.660075e-25 -3.166242e-26 0.589249 0.781036 0.241715 0.2 \n", "3 1.649677 2.762132e-25 -3.721852e-26 0.584567 0.790345 0.235970 0.2 \n", "4 1.714794 1.604646e-24 -8.809961e-26 0.578228 0.800506 0.229928 0.2 \n", "5 1.788392 8.785849e-26 -1.868416e-25 0.570183 0.811685 0.223544 0.2 \n", "6 1.872000 2.138415e-24 -2.315947e-25 0.560396 0.824016 0.216805 0.2 \n", "7 1.967079 -2.234169e-25 -1.024425e-25 0.548857 0.837599 0.209727 0.2 \n", "8 2.074954 1.758487e-24 -1.372584e-25 0.535589 0.852487 0.202357 0.4 \n", "9 1.996742 5.295250e-25 -1.329027e-25 0.524017 0.841746 0.207634 0.4 \n", "\n", " exog_tau_c exog_tau_k \n", "0 0.0 0.0 \n", "1 0.0 0.0 \n", "2 0.0 0.0 \n", "3 0.0 0.0 \n", "4 0.0 0.0 \n", "5 0.0 0.0 \n", "6 0.0 0.0 \n", "7 0.0 0.0 \n", "8 0.0 0.0 \n", "9 0.0 0.0 " ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# output is a pandas.DataFrame containing the equilibrium\n", "# time series of each variable in the model\n", "sol = pf.deterministic_solve(model, shocks=shocks_1, \n", " T=T, ignore_constraints=True)\n", "sol.head(10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For comparison, we will also want to solve for the equilibrium path assuming no chagnes to any of the government variables ($g=0.2$, $\\tau_c=0$, and $\\tau_k=0$ forever)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# produce solution assuming no change in any shocks\n", "# this will keep the model in the steady state the entire time\n", "sol_ref = pf.deterministic_solve(model, T=T, ignore_constraints=True).ix[:p_T]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will want to show plots of $\\bar{R}_{t,t+1}$, but notice that we did not include it in the yaml file above. \n", "\n", "What we will do is use the eval_formula method on our model object, which will allow us to pass a string containing the dolo equation representing $\\bar{R}_{t,t+1}$ and the time series received from the deterministic_solve function." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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ktau_ctau_kcwetagexog_tau_cexog_tau_kRb
01.4899562.178941e-310.000000e+000.6426450.7642260.2526320.20.00.01.052632
11.489956-1.902558e-311.155513e-330.6426450.7642260.2526320.20.00.01.052632
21.4899561.707315e-313.851468e-330.6426450.7642260.2526320.20.00.01.052632
31.489956-2.700702e-315.391764e-330.6426450.7642260.2526320.20.00.01.052632
41.489956-1.674184e-323.080891e-330.6426450.7642260.2526320.20.00.01.052632
\n", "
" ], "text/plain": [ " k tau_c tau_k c w eta g \\\n", "0 1.489956 2.178941e-31 0.000000e+00 0.642645 0.764226 0.252632 0.2 \n", "1 1.489956 -1.902558e-31 1.155513e-33 0.642645 0.764226 0.252632 0.2 \n", "2 1.489956 1.707315e-31 3.851468e-33 0.642645 0.764226 0.252632 0.2 \n", "3 1.489956 -2.700702e-31 5.391764e-33 0.642645 0.764226 0.252632 0.2 \n", "4 1.489956 -1.674184e-32 3.080891e-33 0.642645 0.764226 0.252632 0.2 \n", "\n", " exog_tau_c exog_tau_k Rb \n", "0 0.0 0.0 1.052632 \n", "1 0.0 0.0 1.052632 \n", "2 0.0 0.0 1.052632 \n", "3 0.0 0.0 1.052632 \n", "4 0.0 0.0 1.052632 " ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Rbar_formula = \"(1+tau_c)/(1+tau_c(1))*((1-tau_k(1)) * (alpha*A*k(1)**(alpha-1) - delta) + 1.)\"\n", "sol[\"Rb\"] = model.eval_formula(Rbar_formula, dataframe=sol)\n", "sol_ref[\"Rb\"] = model.eval_formula(Rbar_formula, dataframe=sol_ref)\n", "\n", "# notice the new column\n", "sol_ref.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will also want to show the steady state. We could solve for it numerically,\n", "but since the model is simple enough, the calibrated values given with \n", "the model, already solve it in closed form." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# These commented out lines are how we could solve for the setady state numerically\n", "# from dolo.algos.dtcscc.steady_state import find_deterministic_equilibrium\n", "# ss = find_deterministic_equilibrium(model)\n", "ss = model.calibration\n", "kbar, cbar, etabar, wbar, gbar = ss[\"k\", \"c\", \"eta\", \"w\", \"g\"]\n", "Rbar = sol_ref.loc[0, \"Rb\"] # steady state is also in sol_ref" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now all the computations are done, we will work on constructing figure 11.9.1 in RMT3.\n", "\n", "Note that we will first construct the plot by hand, which will require some effort on our part. Then below we will show how to leverage convenience functions in dolo to make that task easier." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Set up plotting materials \n", "o = np.ones(p_T)\n", "names = [[\"k\", \"c\", \"Rb\"], [\"eta\", \"g\", \"w\"]]\n", "titles = [[\"k\", \"c\", r\"$\\bar{R}$\"], [r\"$\\eta$\", \"g\", \"w\"]]\n", "ss_vals = [[kbar, cbar, Rbar], [etabar, gbar, wbar]]" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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NZmt2NeypU6dYtmwZSinsdjvjxo1j8ODBJn82ojW0rQa9bRP6X2+cm5t6UV8s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\n4q+JEIxA6iQEq7/99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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Generate plots\n", "psol = sol.ix[:p_T]\n", "fig, axes = plt.subplots(nrows=2, ncols=3, figsize=(8, 8))\n", "for ind_i, i in enumerate(names):\n", " for ind_k, k in enumerate(i):\n", " ax_ik = axes[ind_i, ind_k]\n", " psol[k].plot(ax=ax_ik, linewidth=2, title=titles[ind_i][ind_k])\n", " ax_ik.plot(o * ss_vals[ind_i][ind_k], 'k--')\n", "axes[1,1].set_ybound(.18, .42)\n", "fig.suptitle('RMT4 Figure 11.9.1', fontsize=18, y=1.05)\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Constructing that plot was a lot of book-keeping work.\n", "\n", "Thankfully there is a convenient function in dolo that will do most of that work for us, while still allowing us to customize and tweak the figure to our liking. Here's another way we might have created the figure above." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# construct dictionary of plot keyword arguments. \n", "# We do this so we can re-use them below.\n", "# line_options is applied to all lines in a particular DataFrame\n", "plot_kwargs = dict(variables=['k','c','Rb','eta','g', 'w'],\n", " line_options=[\n", " {'color':'black', 'linestyle':'--'},\n", " {'linewidth':2},\n", " {'linewidth':2, \"linestyle\": \"-.\"},\n", " ],\n", " titles=['k', 'c', r'$\\bar{R}$', r'$\\eta$', 'g', 'w'])" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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S4HSTLszH8dyj0NSImv09SW7a0O0Ep6CggM2bNzNo0CDuvfdelFJce+21lJSU\noJQiMzOT8ePHk5OTw+23305ERASLFi3yZOzdphsb4VQVKAtERrV8MCERDu9DlxwLmm6PQghhBl1c\nhBp1gdlh+B19cC+ONY9Afb1xWGbWAklu2tDtBCctLY3XXnutw+sWLFjQ3ZfwnurmLeK26FZnTql+\niUYvnONHezwsIYQIKlJo3GW6vMQoKD59CsZPRd10m9QxtSM4vytt7aByik80Ph6Xf3hCCOFNslW8\na3RdLY5nlhu/w0acj+Und6FC5GDo9gRpgtNGk79mKmEAAFpmcIQQwrtkBqfTtMOBY91TcGgfJCRi\nWfSfqLAws8PyaUGZ4Jw5pqGNgucE5wyOJDhCCOE1ygKlx9GNDWZH4hf0m/8L2z6DXpFYbnsIFen+\n7tNAF5QJDlXtz+AQYwerFaor0TXVPRuXEEIEi7h40A4okbP/OqK3fYp+6zVQFiwL70ElJpsdkl8I\nzgTHdUxD6xocpdRZdTgyiyOEEF7RzygHQOpwzkmXFuNY/1sA1DX/gRo93uSI/EeQJzht9+RxLlNJ\nHY4QQniH6mcczKylDqddurERxwsrjR1T4y5CZc43OyS/EpQJjq5y1uC0sYsKUFKHI4QQ3iUzOB3S\n//gjfLMLYvtiufl26XXTRUGZ4HQ8g9P8D0+2igshhFfIDM656bwc9P+9YdTd/OQuVFS02SH5nSBN\ncM5RZMyZGRxZohJCCC9JkJ5j7dGnqnH8/mkA1PwfoYbLWXrdEXQJjm5qOmsGJ7bti2SJSgghvCsu\nHkJDoaIcXXva7Gh8iv7zS3DyBKSORM27xuxw/FbwnaleVWFsTbT1af9I+Zg4CLNC1Un06RrwwGnX\nwn/k5uayfv16tNZkZGRw5ZVXtromLy+Pl19+maamJqKjo1m2bFmnnyuEwDgmJz4Rjh4yZnEGDTU7\nJJ/QsD0bveU9CA0z6m4s0qm4u4IvwWk+RZw+9nYvURYLxPeHooPGLE5Cvx4KTpjN4XDw0ksvsXTp\nUmJjY7n//vuZOHEiSUlJrmtqamp46aWXePDBB7Hb7VRWVnb6uUKIs/RLgqOHjEM3JcFB156m5oVV\nAKj516L6S78bdwTdEhUV5cbHmHaWp5ykDicoFRYWkpiYSHx8PKGhoUybNo3s7OwW13zyySdcdNFF\n2O1GkhwdHd3p5wohzlCyk6oF/bf/QZcWw6AhqDky++uuoJvB0SeNBEedYwYHjEJj41RxKYALJuXl\n5cTFxbn2+Y+EAAAgAElEQVRu2+12CgsLW1xTVFREU1MTDz/8MLW1tVx22WVMnz69U88VQpzFleDI\nz1m9twD9/ltgsWC5+Rftl1CITgu+76BrBufcCY50MxbtcTgc7Nu3j6VLl1JXV8eDDz7I8OHDzQ5L\nCL+j+g1AI1vFtcOB43+fB60Jn38tjYOGmB1SQAi+BKcTNThw1j88SXCCit1up7S01HW7vLzctRR1\n9jU2mw2r1YrVamXkyJHs37+/U891ysvLIy8vz3U7KysLmweK2a1Wq9vjeGIMiaXnY9mwYYPr8/T0\ndNLT/WBrcXMvnGCfwdGfvQ8HCiEmjojv30B1Q6PZIQWEoEtwdPMMjupoBse5VbxEEpxgkpqayrFj\nxygpKSE2NpYtW7awZMmSFtdMnDiRdevW4XA4aGhoYM+ePVx++eUMGDCgw+c6tfULqKqqyu34bTab\n2+N4YgyJpWdjsdlsZGVluRtaz4uOgfBeUFONPlUVlCdk69M16L/8AQB11c2oiF7Q4P77TARhgnNm\nBqeDIuPYOKNHw8kT0qMhiFgsFhYsWMDy5cvRWjNr1iySk5PZtGkTSikyMzNJSkpi7Nix3H333Vgs\nFjIzM0lONnY7tPVcIUTblFKQ0B8O7TPKAQYHYYLz9p+N3mxDRqAummF2OAEl+BKcTtbgKEsI9O0P\nxw7TdOwIxMlW8WAxbtw4Vq9e3eK+OXPmtLg9f/585s9vffBdW88VwpetXbuWbdu20adPH1auXNnm\nNevWrSM3N5fw8HAWL15MSkqK6zGHw8H999+P3W7nvvvu63oACYlwaJ+xVXxwcNWy6eNH0e/+HQDL\nj34qZ015WFBtE9eOpo7PoTpbc4W/45hsYRRCBKaMjAweeOCBdh/PycmhuLiYNWvWsHDhQl544YUW\nj7/99ttu9XoK5sONHa//HhobUVMygi656wlBleBQefKsLsZhHV6umndSOaRHg+gBur7O7BBEEEpL\nSyMyMrLdx7Ozs5kxw1g6GTZsGDU1NVRUGH8olpWVkZOTw+zZs7sfgPNw4yCrd9T7dkPOVrCGo35w\nk9nhBKTgSnCae+B0tIPKpfkvC8fRw14KSIgzHP/5Exxv/xldc8rsUIRwaau/U3m58bP05Zdf5sYb\nb3RracV1uHGQ7aRy/P2PAKjZl6Ni4jq4WnRHcCU4Fc0Fxh11MW6m+hvTrk1FB70VkRBnVJ1E//UV\nHP+5AP3lp2ZHI8Q5Oet2UlJS0Fqjte7eQEG4Y1UX5kNeDkT0Ql36fbPDCVhBVWSsT5YBHXcxdkkc\nCIDjyAGU1lIAJrzK8suHcbz9OuzaieO/n0Dd8gssU2eZHZYIcna7nbKyMtftsrIy7HY7W7du5Ysv\nviAnJ4f6+npOnz7NM888w2233dZqjHP1fdJRUZwMj4DqKiIVWKI6v5PKX/sbVb/1Gg4gfN7V9Eps\nWb/kr19TT8fSmb5PQZXguGZwOpvg9ImF3pHoU9Wokyc67n4shBvUqAuwjByHfvN/0W++iv790zjq\n67DMvMzs0ESAO9cMzIQJE9i4cSNTp05l9+7dREZGEhMTw3XXXcd1110HQH5+Pm+++WabyQ10ou9T\nfH84vJ/qb/agBg/rdNz+2N9IF+zAkZcDvSJpmHEZjd96jj9+TT0dS2f7PgVXgnOyk8c0NFNKGbM4\newvg6CFJcITXKaVQ86/DER6Bfn09+o9rcTTWY8m8wuzQRIBavXo1+fn5VFVVsWjRIrKysmhsbHT1\nfRo/fjw5OTncfvvtREREsGjRIs8HkTAADu9HHy/qUoLjb7TWOP7+JwDUpVegekeZHFFgC6oERzc3\n+VMdNfk7ixowyDgEregQauRYb4UmRAuW7/wAhzUC/affoTesQw8cihox2uywRABqr9v22RYsWHDO\nx0eNGsWoUaO6HYPrcONAr8P5OhcK8yHShprduo+W8KwgKzLu2gwOAAOMOhyk0Fj0MEvGPNTlPwKt\ncfz+afTpGrNDEsI7nIXGxYGd4Dj+9RcA1KVXonr1NjmawOfWDE5HHTBPnTrF2rVrKS4uxmq1smjR\nInNb13cjwVGJg4xDN49KgiN6nvpuFnrnF3CgEP3ai6hbfmF2SEJ4nEpoPtw4gGdw9MG98PV2CO+F\nkrq6HuHWDE5HHTD/+te/kpKSwooVK1i8eDG///3v3Xk5t3S5i7FTonMG51D3t0EK0U0qNBTLgl9C\naBh6y7vo3H+bHZIQnhcE3Yz1O38DQF1yqdTe9BC3EpyOOmAePnyY0aONuoEBAwZw/PhxKisr3XnJ\n7utiF2OX2DjoFQmnqqDqpPfiE6IdKnEg6iqj06njD8+gnYm6EIGiTyxYrUYvqABsdKnLS9DZm8Fi\nQWV+z+xwgoZXa3DOO+88Pv/8cwAKCwspLS1t0U+hR3X2FPFvUUoRknyecePoIQ8HJUTnqFnfgxHn\nG78AmjugChEolMUC8YHb8E+/9yY4HKgJF6PiEswOJ2h4NcG58sorqa6u5r777uNf//oXgwcPxmIx\nqa65OwXGzUKSjARHF0mCI8yhLBYs1y8CZTGWqkqOmR2SEJ7lPLIhwJapdM0p9McbAaO4WPQcr24T\n79WrF7feeqvr9uLFi+nXr1+b156r02V3nd35sK6uhtOAtW8Cvbs4buN5Q6kHwkqPdvm5bcXiDl/u\nLOlLsXSmy6W/UYnJqItmoLd+gP7nBik4FgHFtVU8wM6k0pvfgdrTMOJ81HmpZocTVNxOcM7VAbOm\npgar1UpoaCjvvvsuo0aNIiIios1rO+x02Q1ndz50HDP+0TT0ju7yuBH9jZ1f9Qe+oambMQV6Z0lf\niqWzXS79kbr8h+jPP0J/9j563tUo50nMQvg753s5gGZwdFOTsTwFWL4jZ071NLcSnI46YB4+fJhn\nn30Wi8VCcnKydzpgdlYXuxifLWRgivGJ9MIRJlP9BqCmZKC3vId+8zXUgl+aHZIQHuGcwQmoreI7\ns+FEKfRLgvTxZkcTdNxKcDrqgDl8+HBWr17tzkt4THe6GDupuAQI72UUeFZVomzRng5PiE5T3/0h\neuuH6H9/hJ53DSrRxN5SQniKq9lf4CxROT5qrr2ZfqlRSC16VPB8x90oMjbOpGr+JSI7qYTJVHx/\n1LRM0A70W6+aHY4QnhETB2HNW8UDoGu3Li2GvG0QGoaaMtvscIJS8CQ4ziWqzp4k/i2queGflgRH\n+AA1LwtCQtHZm9Flx80ORwi3GVvF+xs3AmCZSm9+B7RGXThVZv1NEhQJjnY0wcnm5mh9utDF+Gxy\nJpXwISouHnXhVNAa/ckms8MRwjOcW8X9/Ewq3diI3vIuAGr6XJOjCV5BkeBQVWl0MY6K7loX47Oo\nAYMAmcERvkNN/w4A+pNN6KYmk6MRwn0qIUCa/W3/3GgumzgQhnX/lHXhnuBIcNyov3E560wqIXzC\n8NHG7oyKcmO3hhD+zrVE5d+NLB0f/wsANWOuUcMpTBEcCY4bW8Rd4hKMs1JOlqNPVXsmLiHcoJRC\nTb8UAMfH75gcjRDuU32NBMefO3Xr40chPxfCrKjJGWaHE9SCIsHRFcb5V93ZIu6kLBZINJapOLLf\nA1EJ4T41ZTaEhsJXX0qxsfB/Cf4/g6O3vAdgnDsVKaeGmykoEhzKS42PsfFuDaMGDgZAH9rnbkRC\neISyRaPGT5NiYxEY7PGgLHCiFN3YYHY0XaYdDvS/PwQwWjkIUwVXgmPv6944g4YYHw9+4944QniQ\nFBuLQKFCw4yf01pDqR/OSO4tgLLjxtcgxcWmC4oER58wEhwV616CowYaCY6WBEf4kuHp0N8oNm7Y\n9pnZ0QjhHj8uNNZbPwRAXTRDOhf7gOD4P1BeYnx0dwYnOQWUgqMH0Q3+N30qApNSCnWxUWzc0Nx7\nQwh/pZoTHF3qXwmObqhHf/EJAOqimeYGI4AgSHC01nDCKDJ2N8FREb2g3wBoapKGf8KnqAkXA9CQ\n8290XZ3J0QjhhvjmXjjH/SvBacj9HGqqIXkwKuk8s8MRBEGCQ3UlNNRDr0hURG+3hzuzTLXX7bGE\n8BQVFw+Dh0NdLXz1pdnhCNFtKr4f4H8zOA2bjSJ/NXmmuYEIl8BPcDxVYOzkLDQ+JHU4wreoC6cB\noL/cYnIkQrjBOYPjRzU4uqbaqH9TCjVputnhiGaBn+CccNbfuLdF3EkNkkJj4ZvU+CkA6B3Z6HpZ\nphJ+qnkGh5JjRomBH9BffgqNDZA2BhUbZ3Y4olnAJzi63DM7qFwGDjU+Ht5vHOIphI9Q8f0JGTLC\nWKbKyzE7HCG6RfWOgkgb1NdBZYXZ4XTKmd1TM02NQ7QU8AmOp5eolC0aYvsav0SO+/mBcCLghF00\nA5BlKuHn+jpncXz/Z6yuKIc9eRAW5ppFFb4h8BOcE84uxh6awQFXHY4sUwlfE3aRsf6vt38urQyE\n33KeKq5Lik2OpGM6dytoTeiYiahe7m9kEZ4T8AmOa4nKU0XGnNlJJR2Nha8J6Z9kJOC1pyFflqmE\nn/KnGZzm5prWSZeYHIn4toBPcFwzOJ5McJwzOLKTSvggNX4qIMtUwo+5uhn79gyOPlUFu3aCxULo\nhVPNDkd8S0AnONrRBM0niXtjiYqD3/hNlb8IHq7t4rmfoxsbTY5GiK47s0Tl2zM4evvn4HDAiPOx\nREWbHY74lsBOcCpOGF2HbX1QYVbPDWyPh95RRhNBZ5dkIXyE6p8EiQPh9Cn4psDscITour7+cR6V\nc3lKiot9U0AnOI6y5tNoPTl7g3H2jzT8E75MpY8HQH+1zeRIhOiGWDuEhkJlBbqu1uxo2qRrT0N+\nrtHcb9xks8MRbQjwBMdDh2y2QRr+CV+m0i8AQEs/HOGHlCUE4s40/PNJeduMY4CGjEDF2M2ORrQh\n1OwAvMlRZhSoeazJ39kGGQ3/9IFCz48thLuGp0OYFQ7uRVeeQEXHmh2R8FFr165l27Zt9OnTh5Ur\nV7Z5zbp168jNzSU8PJzFixeTkpJCQ0MDy5Yto7GxkaamJiZPnsw111zjucDi+0PxESg9BskpnhvX\nQ2R5yvcF9AyOLvXiDM7gYcYn3+ySQmPhc5Q13EhyAJ2fa3I0wpdlZGTwwAMPtPt4Tk4OxcXFrFmz\nhoULF/LCCy8AEBYWxrJly3jiiSdYsWIFubm5FBZ67g8+16GbPniquG5oQO/IBkBdIAmOrwroBMdb\nNTiAcSBcVDRUnYRS397KKIKTGm3U4cixDeJc0tLSiIyMbPfx7OxsZswwOmQPGzaMmpoaKiqMIxTC\nw8MBaGhooKnJw0fX+PKhmwXbjV5TAwejnFvahc8JigRHeeigzbMppWDICAD0N7s8Pr4Q7nIVGufl\noB0Ok6MR/qq8vJy4uDMHSNrtdsrLywFwOBzce++9LFy4kDFjxpCamuqx13UmDrrU9xIcnfs5gBQX\n+zi3anA6Wrutqanht7/9LaWlpTgcDr73ve8xc+ZMd16ySxzl3luiAlBDRhjTlHsLoPkMIOH/cnNz\nWb9+PVprMjIyuPLKK1s8np+fzxNPPEG/fsYU+qRJk7jqqqsAWLx4Mb1790YpRUhICI899liPx+/S\nP9loaVBeAof2wXlDzYtFBCSLxcITTzxBTU0NK1as4PDhwyQnJ3tmcOfMiI8tUWmt0V99CYAaM8Hk\naMS5uJXgZGRkcNlll/HMM8+0+fjGjRsZOHAg9913H5WVldxxxx1ccsklhISEuPOynaIbG4xD0JSC\nPt6pcFdD09DIDE4gcTgcvPTSSyxdupTY2Fjuv/9+Jk6cSFJSUovrRo4cyX333dfq+Uopli1bRlRU\nVE+F3C6lFCr9AvTmd9BffYmSBEd0g91up6zsTL+vsrIy7PaWP1N79+5Neno6ubm5bSY4eXl55OXl\nuW5nZWVhs9nO+bo6ZSgnAcpLiIqMRFlaLzhYrdYOx+lIV8doOrSPqvISVJ9YbOnjXHF5IhZPjRMM\nsWzYsMH1eXp6Ounp6a2e41aCk5aWRklJSbuPK6U4ffo0ALW1tdhsth5JbgCoKAetIcaOCvXSZrGU\nYaAscHgfuq4O1bweLfxXYWEhiYmJxMcby5rTpk0jOzu7VYLTXmG51tqnis7V6PFGgpOfA9/NMjsc\n4aPO9b6dMGECGzduZOrUqezevZvIyEhiYmKorKwkNDSU3r17U19fz86dO7niiivaHKOtX0BVVVUd\nB2brA1UnqTp0oM3zBG02W+fGOddLdHEMx783G5+MGkf1qVMejcVT4wR6LDabjaysjn+eeXWb+Ny5\nc/nNb37Dz372M2pra7njjju8+XItlXvhFPFvURG9IOk8OLwPDhS6dq0I/9VWvUFbO0P27NnDPffc\ng91u58Ybb3T91aqUYvny5VgsFmbPnk1mZmaPxd6mtLFgscDeAvTpGjntWLSyevVq8vPzqaqqYtGi\nRWRlZdHY2IhSiszMTMaPH09OTg633347ERERLFq0CICKigqeffZZHA4HWmumTp3K+PHjPRtc335n\nNnJ4qdSgq5zLU4y+0NxARIe8muDk5uYyePBgli1bxrFjx1i+fDkrV64kIiLCmy8LgPbCIZttUUNH\noA/vQ39TgJIEJygMGTKE5557jvDwcHJyclixYgWrV68G4JFHHiE2NpbKykoeeeQRkpOTSUtLazVG\nd6bsO6PVdLDNRtWwdJp27STiwB6sEy/u+hieisWkMYIlls5M2bdlyZIlHV6zYMGCVvcNGjSI3/zm\nN516je5Sffuh9+1Glx1HYf7PV11bA3vyQVlczTSF7/JqgvPhhx+6CjT79+9PQkICR44cYejQ1rUA\nnv6BX3uqilogvN8AennxB1t9+jhqPvoXoQf3EnmO1/H1H46BFkt3f9jb7XZKS0tdt8vLy1vVG5yd\noF9wwQW8+OKLVFdXExUVRWys0VAvOjqaSZMmUVhY2GaC0+0p+w60NR3sSBsDu3Zy+svPqEsb260x\nPBWLGWMEQyydnbL3O30TjI++0oqjYAc0NcLQNFSk+z+3hHe5neCca+22b9++7Ny5k7S0NCoqKjh6\n9Khr58m3efoHvuPYYQDqo/rQ6MUfbDrxPAAadudRWVlpbB/v4hieiqUnx/DlWNz5YZ+amsqxY8co\nKSkhNjaWLVu2tPoLt6KigpiYGADX8lVUVBR1dXVorYmIiKC2tpYdO3Zw9dVXu/FVeYYacb5RDL8n\nr8NrhfApfZt/X/hIgqN3Nu+ekuUpv+BWgtPR2u1VV13Fc889x9133w3A9ddf32O7S3RzDU5bhWke\n1W8ARNng5AkoO37mH6TwSxaLhQULFrB8+XK01syaNYvk5GQ2bdrkel9v3bqVTZs2ERISgtVqddWW\nnTx5khUrVqCUoqmpiUsuuYSxYzueMfG6lGHGsQ1HDqCrK1FR0WZHJESnqLh+RnLuAwlOi+3h50uC\n4w/cSnA6WruNjY09Zwtwr3LV4Hi+yd/ZlFIweATs/AK9twAlCY7fGzdunKumxmnOnDmuz+fOncvc\nuXNbPS8hIYEVK1Z4Pb6uUmFhRlPKXTuhMB+kOZnwF86fp86u9GYqOmRsXrH1gYFDzI5GdELgdjJ2\nniTuxV1UTmpoc42F9MMRPkoNaz6XapcsUwk/Yo83epmVl6IbG00NxTV7M3p8mz15hO8JyP9L+nQN\nnKoypuX7eP8UZeU8smFvgddfS4jucO7wkzoc4U9UWBjExIF2nJmVN4ne+YXxidTf+I2ATHCcBWmW\n+P7tFv161OCzGv7V13n/9YToqiEjICQEDn5j/AEghL+IM38nla6rhcKvZXu4nwnsBCchsUdeTkX0\nhqRB0NQE+/b0yGsK0RUqPALOSzX+Et77tdnhCNFpzrpGUwuN9+Qb28PPGyrbw/1IQCY42pXg9Nwx\n9mrE+cZr79rRY68pRFe46nB2f2VyJEJ0gWuruHmFxnrXTgBU2hjTYhBdF5AJzpklqp6ZwQFQac0J\nToEkOMI3qRGjAdC7pQ5H+BEf6IXj/Lnu/ENW+IeATHDMmMFh2Gij2v+b3eg6qcMRPmjoSOM9ur9Q\n3qPCb6jmbsa6zJwER9ecggN7jRq2YaNMiUF0T0AmOD1dgwOgIqNg0FBjnXZvfo+9rhCdpXpHwsDB\nxnt0n7Q0EH7C7CWqPXlG7drg4UYtm/AbAZfgaK1NWaKCs+pwCnb26OsK0Vln6nBkmUr4idg4Y/bk\nZLkpu1Rdy1NSf+N3Ai7Boeok1NdBr0gsUT1b7e78ByB1OMJXufrhSKGx8BPKEnKmI72zgWsPkgTH\nfwVeguMsRHOeQtuTho0EiwUOFEqvEeGbmmdw+GYXuqHB3FiE6CxnL5wersPRVZVweD+ENh93IvxK\nwCU4rl4JJpwJpSJ6w+Dh4HAY67ZC+Bhl6wNJ50FDvXEulRB+wLReOLubyw1SR6LCrD372sJtAZfg\nOGdwzDr08kwdjixTCd+k0scDoPNyTI5EiE4yaau4LE/5t4BNcMyYwYGz6nB2SaGx8E3OVvM6b5vJ\nkQjRSSbN4Dg3jEj/G/8UcAmO8x+Aiu/BHjhnG5oGoaFwaB/6VJU5MQhxLsNGgdUKh/ejK8rNjkaI\nDinXeVQ9t1VcV5TBscMQHgEpw3rsdYXnBFyCY/oMjjUchqSB1rBLdqoI36PCrDCieaYxX5aphB9w\n/jzvwSJjV7uPYaNQoaE99rrCcwIqwdGOJihv3kYYZ8IuqmZntotvNy0GIc7FdSLyV7JMJfxAn1gI\ns0J1Fbq2h3aoNm8UkeUp/xVQCQ4nyowTvfvEGjMpJlEjmxMcKeIUPspVh/N1rvGHgRA+TCl15o/W\nHlqm0oVfG6+dKscz+KvASnBMXp5yGTwCIm1w/Cj62BFzYxGiLf2SjF8Y1VVw4BuzoxGiY87eZj1Q\naKxPVUPRQaOe8rxUr7+e8I6ASnBcBcZx5iY4KiQENbp5K+6ObFNjEaItSqmztovLMpXwfT3aC+eb\nAuPjeamosDDvv57wioBKcHxmBgfg/AmAJDjCd8l2ceFX7M5uxt4/ruHM8tRIr7+W8J4ATXDMKzB2\nUqPHG8c2FOaja06ZHY4QraWNMd6j3+yS96jwfXHGeVS63Ps1OJLgBIaASnC0yV2Mz6YibZA60ih6\nlq24wgep3pFG3yaHA2THn/Bxrl44Xp7B0Y2NsH+3cWOoJDj+LKASHJ9aogLUmImALFMJ3+Wqw9nx\nhcmRCNGBOOeJ4l6ewTm0D+rroV+ScXab8FsBk+DohnqoKDem3O3xZocDgHLW4ez8UrbiCp+kxl0E\ngN7+ObpJ3qPCh0XHGruaqivRdbVeexm91ziEVqWmee01RM8ImATHldXH9kWFhJgbi1PiQGM2qbqS\npr27zI5GiNYGDIKEAVBdKaeLC5+mLBaI7WvcKC/12us4629kecr/BU6C42PLU9C8Fbd5maph22cm\nRyNEa0op1PgpAOicrSZHI0QHXHU43lmm0lpDobFFXBr8+b+ASXB0ie8UGJ9NEhzh69QFkwHQ2z4z\nfsAL4aOUt3dSlRbDyXKIskH/JO+8hugxbp0gtnbtWrZt20afPn1YuXJlq8f/8Y9/8Mknn6CUorGx\nkSNHjvDSSy8RGRnpzsu27XiR8bHfAM+P7Y7hoyE8AseBvVjKSlz/QIXwGSnDICYOTpTC/kIYM97s\niIRom5d74ei9Z5anlFJeeQ3Rc9yawcnIyOCBBx5o9/H58+fzxBNP8Jvf/IbrrruO9PR07yQ3gC42\nEhyV4FsJjgoLA+dOlW2fmhyNEK0pi+XMLE6OzDQKH+blJSqc/W+k/iYguDWDk5aWRklJ5zLpLVu2\nMG3aNHde7tyKfXQGB1ATLkZv+xSdvRnmXGF2OEK0oi6YjP7gn8Yy1U23mh2O6EEdzcQDrFu3jtzc\nXMLDw1m8eDEpKSmUlZXxzDPPcPLkSZRSzJ49m3nz5nk1VhUXjwa012ZwmutvhsoOqkDQIzU49fX1\n5ObmctFFF3llfN3UBGXNRcbxiV55DXeoMRMgPAL27e6Zc1SE6Krho40DYouP4DhywOxoRA/qaCY+\nJyeH4uJi1qxZw8KFC3nhhRcACAkJ4eabb+bJJ5/k0UcfZePGjRw54uXDhZ0zOF6owdG1NXDkAISE\nQoocsBkIeiTB+eKLL0hLS/Pa8hRlxUbH4Ni+qPBw77yGG1R4BGEXTgVAf/GJydEI0ZoKCUGNmwRA\nQ7a8R4NJRz+bs7OzmTFjBgDDhg2jpqaGiooKYmJiSElJASAiIoKkpCTKy8u9G2xsHCgFJ8qNjsOe\ndGAvaA3JKSir7/0eEV3n1hJVZ3366acdLk/l5eWRl5fnup2VlYXNZuvU+A2FJzgFhA4YSNRZz7Fa\nrZ0e41w8MY6+ZA4nP30fy5efYrvmFlNj8aXvi7di2bBhg+vz9PR00tPT3X6NQKcumILe8h4Nn38M\nmbKUKgzl5eXExcW5btvtdsrLy4mJiXHdd/z4cQ4cOMCwYcO8GosKDYM+dqgoM/6LjfXY2Hr/HuM1\nBnv3axA9x+0ER2t9zq2lNTU15Ofn84tf/OKc47T1S6iqqqpTMTj27wWgKa5fi+fYbLZOj3Eunhgn\nKn089OpN0/49VBbuQnWzVsgTsfjS98UbsdhsNrKystweM+iMGgfhvWjatwfL8SKfK9gXvqm2tpYn\nn3ySW265hYiICO+/YFy8kdyUlcBgDy4l7TMSHFIkwQkUbiU4q1evJj8/n6qqKhYtWkRWVhaNjY0o\npcjMzATg888/Z+zYsVitVo8E3CbXFnHfq79xUlYratxF6M8+QGdvRl3+Q7NDEqIFFWZFjZ9svEe3\nfoiaf53ZIQkfYLfbKSsrc90uKyvDbrcD0NTUxKpVq5g+fToTJ05sdwx3Zui/7VS/ATTsLSCiptKj\ns8gnDxQCEJU+jpBujBkMM+O+FEtnZundSnCWLFnS4TUzZ85k5syZ7rxMh1xbxPv5dmMmNfES45fH\nF5+AJDjCB6nJGa4ER3/vWukFEiTONRM/YcIENm7cyNSpU9m9ezeRkZGu5am1a9eSnJzc4e4pd2bo\nv7XX4EkAACAASURBVM3Rx1iWOn3kINb6eo/MIlcWHTY2gIRHcCo6FtWNMQN9ZtyXYunsLH2P1OB4\nnXOLuK9PqY8cC72j4MgB9JGDqKRBZkckREtp56PsfdElx2Dv1yDt6gNeRzPx48ePJycnh9tvv52I\niAhuvdVoI1BQUMDmzZsZNGgQ9957L0oprr32WsaNG+fdgL3R7K+5/oZBQ1AWHznLULjN7xMc3dAA\n5SWgLBDvW8c0fJsKDUONn4L+ZBP6i82opOvNDkmIFpQlhLBpmdS9+Sr6sw/kPJ4g0JmZ+AULFrS6\nLy0tjddee80bIZ2Tikto7oXjua3iurn+Rkn9TUDx/7OoSo4aW/v6JhgV9j5OTbwEwFgGcDhMjkaI\n1qzTLwWMlga6od7kaIT4FudxNx6cwXHuoJIC48Di/wmOs8A4wXcLjFtIG2M0qyo7DgU7zI5GiFZC\nBg6GQUOg5hTsyDY7HCFacjX7K/HIH4laa9cSlczgBBa/T3B08VHA986gao+yWFDTjB1mevM7Jkcj\nRNvUlAwAHJ99YHIkQrSkwiOM074bG9CVFW6Pp8uOQ9VJo5N3fH8PRCh8hd8nOBQ3twb38R1UZ1PT\nZoOyoHO2oqsqzQ5HiFbUpOlgscBXX6KrTpodjhAtNRcaO0qOuT1UY/P5U5yXKrsGA4zfJzj6ePMM\njg/3wPk2ZY+H0eOhqRG9Vf5CFr5HRcdC+nhoakJ/vtnscIRoqbkOx+GBs/2a9u4CZHkqEPl9guM3\nW8S/xXLxHMBYpjpXJ2ghzKKmzAJAf/wveY8Kn6Ka63A8k+A0nyDuya7Iwif49TZxXVdrtOwOCT1T\neOYvxkyE6Bg4egj2FkDqSLMjEs1yc3NZv349WmsyMjK48sorWzyen5/PE088Qb9+RluCSZMmcdVV\nV3Xquf5EXXAROjoGig7C7jwYMdrskIQwOGdwStxLcLTDQdM3u40bMoMTcPw6waF5eYr4fqgQ/2rO\npEJDUVNno//1BvqTd1CS4PgEh8PBSy+9xNKlS4mNjeX+++9n4sSJJCW1rPEaOXIk9913X7ee6y9U\naBhq+nfQb72G/uCfKElwhI9QdqMXjtszOMVFcPoUxNhRMXEdXy/8in8vUR33z+UpJ+Vcpsr+BF1z\nyuRoBEBhYSGJiYnEx8cTGhrKtGnTyM5uvVW6rSWbzj7Xn6jpc8FiQeduRVeUdfwEIXqCh5aopP9N\nYPPrBEcfM3ZQdfdkbrOpfgNgxPlQX4f+9F2zwxFAeXk5cXFn/pKz2+2Ul5e3um7Pnj3cc889PPbY\nYxw+fLhLz/UnKjYOxk02io0/3mh2OEIYPLRERfMBm1JgHJj8OsFxLVH56QwOgCXzewDod99ENzWZ\nHI3ojCFDhvDcc8+xYsUK5s6dy4oVK8wOyassGcZBivrjd9CNjSZHIwRGzxqrFU6fQp+u6fYw+tA+\nANSgIZ6KTPgQv67B0cedp4j7b4LDmElGgna8CL3tU9dRDsIcdrud0tJS1+3y8nLsdnuLayIiIlyf\nX3DBBbz44otUV1d36rlOeXl55OXluW5nZWVhs9ncjt9qtbo9zrfH0BOmUpV8Ho7DB4goyMXa3ATQ\njFjMHMfXY9mwYYPr87ZO7w4kSimwx8OxI1BeCt04uFhrDc0JDgMHezhC4Qv8OsGheYnKn2dwlMWC\nmnMF+o9r0e/8DT3hYmk2ZaLU1FSOHTtGSUkJsbGxbNmypdVhhBUVFcTExABG3Q1AVFRUp57r1NYv\noKqqKrfjt9lsbo/T1hh6+lz4039T839vUDd6gqmxmDWOL8dis9nIyspyNzT/Etu3OcEp6VaCQ9lx\nOH0KFR0Dfdr+Q0T4N79NcHTVSaiuhPBeYO9rdjhuUVNmof/+P8Z5KHvyYLjsVjGLxWJhwYIFLF++\nHK01s2bNIjk5mU2bNqGUIjMzk61bt7Jp0yZCQkKwWq3ccccd53xuIFCTM9Bv/AF256EPFKLOk54h\nwlzKHm+cKn6ihG79Sdg8exNyXipa/qgMSH6b4HD0kPExMdnvZzxUeDhq5jz0W6/heOdvhEiCY6px\n48axevXqFvfNmTPH9fncuXOZO3dup58bCFSv3qgZ30G/8zccb79OyKL/NDskEeycf9iWlZ77unbo\nQ98AEJIyFKksC0x+W2Ssjxo7V1TiQJMj8QyVMQ9Cw2BHtmt3mBC+RM25AkJDIecztPMPDCHMYjd2\nUnGipFtP12fN4IjA5LcJzpkZnABJcKJjUZNngtboTX8zOxwhWlExcahpmcZ79P9eNzscEeRU8wyO\nLu/eDI5riSpFEpxA5bcJji46CIAaEBgJDoC69EpQCr3lPbQHzlgRwtPUd35gNP7790fyHhXmcs7g\nlHd9BkfXVBtFxmFWLAHyR7JozW8TnECbwQFjuU1Nmm6cMv7Wa2aHI0QrKr6/8R51ONAb/2p2OCKY\nxTqXqErRDkfXnntov/Ex6Ty/O+ZHdJ5fJji65hRUlEOYFfr62SGbHVDzrzX+Qv7sfanFET5J/X/2\n7jw+yupc4PjvTFaSTJYJCYGETRYjUUFlE6oSAtVat1bNrVKrvbSuVLQuiFSpQrUVUalU7rXFYmtt\npVr1ettqEaUqt2qoiUoiSlgCCYRshCRkn/fcP95kkpCEbJO8M+8838+HTzLbmSfJYeaZszznG1cB\noD/Ygj521OJoRKBSYWEoZzQ0N0P1sT49tnWBsZL6N7bmlwmOZ/QmKRnlsFf2rRJHmescDAP9xh+t\nDkeITtSoMXDWbGhuQr/1F6vDEQHM0XImFX1dh+Mp8CcVjO3MLxOc1h0camQ/ijv5AfXN/4DgYHTW\n++jC/VaHI0Qnjkv+AwD97l9lLY6wjPIkOH1bhyMjOIHBLxOc9jVw7EjFJ6DOuxC0xvifF60OR4hO\n1JgJqFkXQHMz+vU/WB2OCFCtIzi6D1vFdXMTHDoISkHK2MEKTfgAv0xwPDVwbLSD6kTq4qvNw+Sy\nP0Tv2WV1OEJ0oq74rjnS+OE29IE9VocjApCjdQ1mX4r9HS4EdzMkjESFRwxOYMIn+GWCQ8sWcWw6\nRQWgYl2ojMsAMP74bN93CQgxyNTwEaj0bwJgvLzJPLxQiCHUrxEcmZ4KGH6X4OiGerN+QVAwJCRZ\nHc6gUhdfDbHxUJCP3v621eEI0Yn6ZiZERMIXn0JuttXhiADjGcHpyyJjOUE8YAwowdmwYQM//OEP\nufvuu7u9T25uLvfeey933XUXDz300ECezlRsTk8xYhQq2H+P0uoNFT4MlfmfAOi/PI8+PvCTjIXw\nJhXpNBNxwHhlE9pwWxyRCCT92UXVekSDGiM7qOxuQAlOeno6K1as6Pb22tpaNm7cyH333cfatWu5\n8847B/J0QNsOKrsuMD6Rmv41OPUMqKmWxZzCJ6n5l5hVZQv3o9/9u9XhiACi4oaDckDVUXPxcA+0\n1tAyRSUjOPY3oAQnNTWVyMjIbm//4IMPmDVrFi6XC4Do6OiBPJ3pkL23iJ9IKYXjmhvN4n/b3sRd\nkG91SEJ0oEJCcVzzQwD0a79HHy23OCIRKFRQEMS6QGvoTb87Wga1xyHKCTGuwQ9QWGpQ1+AcOnSI\nmpoaHnroIZYvX85777034DY9Izg23kF1IpU81lzMqQ1qf/2ETAMIn6OmzYZps6G+DuNPv7Y6HBFI\nWg7d7NU0VesGlVFjUUoNXkzCJwxqgmMYBvv27WP58uXcf//9vPLKKxQXFw+sUc8ITuAkOADqsmsh\nNh53/hfot+S0ceF7HNf8EMKGwSf/h/40y+pwRIBQLYdu9mYnlS5qOaQ5OTBmAALdoK7SdblcOJ1O\nQkNDCQ0N5bTTTmP//v0kJXXe/ZSbm0tubq7ncmZmJk6ns8N9dFMjx0qLQTlwTjwVFRJ60ucPDQ3t\n1EZ/eKOdAbfhdNJ0y70cf3QZ+n9eJOLcCwjq5xyyrX4v3bSzefNmz/dpaWmkpaUN+DnEySlXAuqK\na9EvbcR48b/Q08+1OiQRCFpHcMp7sVXcM4IjCU4gGHCCo7Xutv7FjBkzeO655zAMg6amJnbv3s0l\nl1zS5X27ehOqru64a0gX7gdtQOIoauoboL7hpLE5nc5ObfSHN9rxSiynnEZoxiU0bv1fqp9ejWP5\n4/3aSWa738sJ7TidTjIzMwfcpug7lX4J+l/b4MAe6l7aCN++3uqQhN21O1W8J7qoAAA1SioYB4IB\nJTjr1q0jLy+P6upqbrnlFjIzM2lubkYpxYIFC0hOTmbq1KncfffdOBwOFixYQEpK/3c/BeL6mxMN\n++4tNOZ8DAf2ov+22Zy6EsJHqKAgHN+7DePRe2j8+ys4Tj0TlXaW1WEJG1Pxw9GA7mENjjaMtmN+\nZIoqIAwowVm6dGmP97nsssu47LLLBvI0bTzZd+B2TjUsAsf378B4/H70Xzej085GTUi1OiwhPNTY\niahLr0G/9gLGb5/CsfKXKGeM1WGJbmzYsIFPPvmEmJgYHn/88S7v89xzz5GTk0NYWBi33nor48eP\n7/VjB13rCE5PB26Wl0BjA8S4UJEDnxYXvs+vKhl7TtZOCez6BerU01ELLwfDwPivX6CrKq0OSYgO\n1DeuJOi0M+HYUYznn5ZjHHxYT/XMsrOzOXLkCL/85S+58cYb+c1vftPrxw4JV2uC08MUlWf9TeDO\nAAQav0pwaElwVMo4S8PwBerb34MJqVBZjvHrx9Fu2ToufIdyBBF52/0wLBI+/Rj9zzetDkl0o6d6\nZllZWVxwwQUATJo0idraWiorK3v12CER5YSQUKg7jq6r7fZu+lDrDipZfxMo/CbB0bXHzSHGkFBI\nHGl1OJZTwSE4bloGzhjY9Rn69ResDkmIDhzDR6CuuxUAvXmjnDjupyoqKoiPj/dcdrlcVFRUWBhR\nR0qp3o3itCxxkB1UgcNvEpz2nVMFBVkbi49QcfE4brrXrHL891fQ2R9aHZIQHThmnIf62kJoasT4\n1SPo6mNWhyTsyFPsr/t1OJ4RHElwAobfnFapPdNTMrzYnjr1DNS3v4d+eRPGxidw3P0z1LhJVocl\nhIe69mbzzWXvlxj/9XMcd66y/UG5duJyuSgvbzsGoby83HP8Tm/1ps5Zf7TWv6odMZLGLz4lrLaa\nsC7a1YabYy0HNTsnT0FFRHZqw1ux+EI7gRBLb2qd+c+rjGeB8Tgro/BJ6uvfgsIC9IfvYvzyYRzL\n16ASOhdTFMIKKiQExy3LMX72Y/gqF/3Sb1CLbrY6LNHOyeqZTZ8+nbfeeos5c+bw1VdfERkZSWxs\nbK8e26o3dc76o7X+lRFlxlN/uJDGLtrVxUXQ1ASuBGrcBrS7jy/VBfNWO3aPpbe1zvwmwdFF+wFQ\nyeMsjcMXKaXg+iXoYxXwxacYT/0Ux32/kK25wmeoWBeOW+/HeGw5etvfMEaNwZF+sdVhCXquZ3b2\n2WeTnZ3Nj370I8LDw7nllltO+tj09PSh/yHiWtYIdXfg5iFZfxOI/CLB0YYBhS0dVEZwuqSCWz4l\nr1kOB/dhPL0Kx49XocKHWR2aEACo8ZNR192G/u1T6D/+N0aUE8eM86wOK+D1pp7Z4sWL+/3YoaBc\nLcX+uqlm3LaDShKcQOIfi4zLS6ChzizQJKMS3VLDInDc/iDEJ8K+rzB++RC6vvttk0IMNcec+agr\nvgtaozc+id75idUhCTuIa1lk3N1xDUVyBlUg8o8Ex7P+RhYY90TFxuO482GIjYfdeRjrHjppbQgh\nhpq6+GqzUKW7GWPDo+j8L6wOSfi7dlNUXa0Hkho4gckvEhwtBf76RI0YheOeR8ytk/lfYDy10qwj\nJIQPUEqhrv5P1JwMaGzAePph9N4vrQ5L+LNhkRA2DBrqoa7ja51uboIjRaAUJEkV40DiVwmOrL/p\nPZU4Esfdj5jTVXu/xFi7Al3ZzQI8IYaYUgr1vSVw9hyoPY7xxAPoXZ9ZHZbwU0qptlGcE4v9HTkM\nbjcMH4EKCxv64IRl/CLBaTuiIbDPoOorlZBkjuQkjoQDezEeuQdduM/qsIQAWk4e/+HdqFkXQEO9\nOZ36aZbVYQl/1c1OKn1I1t8EKp9PcHRDPZQehqBgSEq2Ohy/o+ITcdy3BiaeBkfLMH5xH02ffmx1\nWEIAoIKDUf95J+qCi6C5CWPDIxgfvmt1WMIPqZZqxp12UrVsEZcKxoHH5xMcigpAaxiZggoOsToa\nv6Sc0eaW8RnnQX0dx3+xHOPNV8zt90JYTDkcqEW3oC78Nrjd6I1PYvzld9I/Rd90t5PqsFnBWE4R\nDzw+n+DIAmPvUCGhqB/chbo4EwwD/crzGOtXo2uqrA5NCHNNzpXXo665seVstZfNHVb1dVaHJvxF\nNwmObjmiQSWlDHVEwmI+n+DIEQ3eoxwOHN/6LpH3PAIRUfD5DoxVd6L37LI6NCFQSuGYfwmOpSsh\nIhJyPqL6wSWeNyghTkbFtU5Rta3B0YYbSg6bF0bIEodA4/MJjhzR4H0h55yL48GnYPxkqCjF+MV9\nGH/+LbqxwerQhEBNOQvH8sdhRDLGgb0Yq+7E2P52j+cdiQDX1S6q8lJoaoRYF2pYhDVxCcv4dIKj\ntZYif4NExSfiuPdR1DeuBED/41WMh+9A5+dZHJkQoJKScaxYS8hcs1aO3vRL9K8fl3pOonuutikq\nTzJcXGR+ldGbgOTTCQ5lR6D2OETHQozL6mhsRwWH4Pj29TiWPwYjR8ORIozHlmNs+iW66qjV4YkA\np4ZFELFkBer7d0BYODrrfYyVt6FzPrQ6NOGLhkVCWHhLsT+zers+0rL+ZqSsvwlEvp3gHNhrfh0z\nwSzkJAaFGj8ZxwNPmQuQHUHo7W9j/OQWjH+8alYBFcIiSikcc+bj+MmT5pRqZQXGrx7BveHn6MoK\nq8MTPqRDsb/WhcaHW0ZwZIFxQPLpBEcf2AOAGjPB4kjsT4WE4PjWd3H89Gk4YzrU1aL//FuMB27F\n2L4V7XZbHaIIYCopGcd9v0B950azJP8n/4fx4K1muYOmRqvDE77ihJ1U+oiZ4CiZogpIfpLgnGJx\nJIFDJSUTdPuDOG5faX7qKTuC3rTOfDP517uS6AjLKEcQjoxLcDy8HqbONJPwV543k/Cs92URsui8\nk6p1B55MUQUkn05wKDATHCTBGXLqjHNwPPQ06j/vhIQkKDmMfu5JjPtvNKeuZLGnsIhyJRC05Cc4\n7ngIksdCeQn62TUYq3+MzvlQEp1A1m4nla49DseOQmho28iOCCjBVgdwUtXHzHoYw0dYHUlAUo4g\n1Lnp6Jnnoz98F/33V+BIEfrPv0W/8SdqL7gIPXuenBEmLKHSzsJx2lPoD95G/8+LcGAPxq8egZRx\nOL6ZCWediwoKsjpMMZTa7aSiZXqKxGSUw7c/y4vB4dsJDsgCYx+ggoJQcxegz50Pn/8bY8tr8OXn\nNL71Krz1KoyfjPraAtQ5X0NFRlkdrgggyhGEOv9C9Ox56Pe3oN98GQr3Y/z3YxCfiEq/GPW1heB0\nWh2qGAIqbjialimqw60VjGX9TaDy+QRH1t/4DuVwwNQZBE2dgT6wl+CPttH4/hbY9xV631foF5+F\ntLNQM85DTZ3pt4W1cnJy2LRpE1pr0tPTueKKK7q8X35+Pg888AB33HEHs2bNAuC2224jIiICpRRB\nQUE8+uijQxl6wFKhYaiMS9Dnfx29/W30ltfNadWXN6H/50Vq58xHz7gAJk2RD0x2FtfFCI7soApY\nPp/gIDuofJIacwoRaVNpvmwROvv/0P/3Duz6HD7LQn+WhQ4KhlNPNxOdM2eg/GSa0TAMNm7cyIMP\nPkhcXBzLly9nxowZJCcnd7rfiy++yNSpUztcr5Ri5cqVREXJSJYVVEgoat7F6PMvgp3/xtj6v5CX\nTeO2N2Hbm5A4EnXufDMJHzHK6nCFt7VLcDxHfMgITsAaUIKzYcMGPvnkE2JiYnj88cc73Z6Xl8dj\njz3GiBHmm9vMmTO58sor+/QcskXct6mwMNTsdJidjq46iv73v9BZ70H+LsjLQefloP/4LIxIRp12\nJuq0qTD5dFRUtNWhdyk/P5+RI0eSkJAAwNy5c8nKyuqU4Lz55pvMnj2b/Pz8DtdrrWWRqw9QDgec\nOYOgM2egiwsJ2fEBDf980xzVef0P6Nf/ACnjUdPnoqbNhlGjZWTHDiIiITQM6utg325ADtkMZANK\ncNLT0/nGN77B+vXru73PaaedxrJly/r3BGHhMGJkP6MTQ01Fx6HSL4b0i9HVVejPd6A/+xjycszF\nyUeK0Nv+bt555GjUxNNoPP0sdNJoSEpGOaxfEFpRUUF8fLznssvl6pTEVFRUkJWVxcqVKzvdppRi\n9erVOBwOMjIyWLBgwZDELbqnklIYds0Pabr4asjNQX/8HvrTj6BwH7pwH/q1F8z1OmdMR51xDkxO\nQ4X75/RqoFNKmQuNi4vaiv3JSF3AGlCCk5qaSmlp6UnvM6BPs6PH+8Sbnug75YxGzZkPc+abtXP2\n70Z/8Sl612ew90s4fBB9+CC17//DfEDYMBh7ijlilzwWlTIORo1BhYZZ+nN0ZdOmTSxatMhzuX0f\nX7VqFXFxcVRVVbFq1SpSUlJITU3t1EZubi65ubmey5mZmTi9sBA2NDR0wO14ow1fjCU6JhbmzIM5\n89BNjTR/toPGj96jOecjdHkJetvf0Nv+Bg4HQRNOI/j0swhOPYOgiVNwREb5/O9l8+bNnu/T0tJI\nS0sb0HP4rbjhbWdQxQ1HhQ+zNh5hmUFfg7N7927uueceXC4X1113HSkpvR8uVKNlgbEdqKAgmJCK\nmpAKl/yHefxDwR70ni8ILsinKX8XVJTCV7nor8w3fQ2glFkiICnF3AkxIhmVONKsy+MaPijJr8vl\noqys7TTiiooKXK6O56Dt3buXp556Cq011dXVZGdnExwczPTp04mLiwMgOjqamTNnkp+f32WC09Ub\nUHV19YDjdzqdA27HG234RSyTz4DJZ6AW3YIqyEd/tgOdlw37d+PenYt7dy4NYPbDUWMIPfV0mkaO\nQY2dCCljUSGhlv1MJ7bhdDrJzMwcUJt2oWLj8XzkkPU3AW1QE5xTTjmFZ555hrCwMLKzs1mzZg3r\n1q3rfQNjZf2NHangEE/CE9nyQq2rKs2kp3AfFO5HF+43d0GUFkNpMfrzHQBtL1xBweZQtCsB5Uqg\nblQKesEVqOCBdemJEydSXFxMaWkpcXFxbN++naVLl3a4T/sp2WeeeYZzzjmH6dOn09DQgNaa8PBw\n6uvr+eyzz7jqqqsGFI8YfMrhMEsdjJ8Ml1+LrquF3bnoLz9H79kFBflQVEBjUQHQ0geDgszEO3ms\nOeKYPNY8sTohSWrvWM3VVtRP1t8EtkFNcMLDwz3fn3XWWfzmN7+hpqamyx0mXQ3ZR512BkEDGMr1\n9SFliaVdG04nJI8G5nlu081NGEcO4S4qwCg6gFFchPvIIYwjh9BHy9qSH6AhLJyYq27wLBTt73C9\nw+Fg8eLFrF69Gq018+fPJyUlhS1btqCUOumammPHjrFmzRqUUrjdbs4777xOu6yE71PDIuDMGagz\nZwCYZ10V7CH0UAENX+WiC/aYyXdRAbp90gNm4pOQBImjUAlJZsIzPAniE8xkPCLSmh8qkLSvWiwj\nOAFtwAnOyXaNVFZWEhsbC+BZjNnd9tmu3oSOR8ejBjCUGzBD7XaOJdpl/jvtLM9VDkA3NpjTWuWl\n6PISwtDU1NR42hzIcP20adM6jTQuXLiwy/veeuutnu8TExNZs2ZNv59X+CYVEgoTTyP8rJk0nX8R\nALq+zlxHVrgfDh1AHzpgrvuoKDW/Fhd5kp4Or47DIqiKT8BwxqJi4yHWBTFxEB2Lio4FZ4z5LzJK\n1h/2k4prm6KSEZzANqAEZ926deTl5VFdXc0tt9xCZmYmzc3Nnk+6H374IVu2bCEoKIjQ0FDuuOOO\nPrU/0OkGYV8qNMws4JWUggLCnU6avJC0CdEbKnxY27RWO7qhAUoOQelhdGkxlBSjy46YO3rKS6Cu\nFqOwACjgxI+FHS4rBZFREOE0v0Y6URFREBEBwyKpj3OhJ5+JSh4zyD+pH3LJCI4wDSiDOHFtwoku\nuugiLrroooE8hRBC+A0VFgajx5s7QE+4TWsNx6uJbKzneNFBdGU5VFZAVaW5Bq2qEmqOQXUVHK+G\nmpZ/rY9v11Y9oBbfKQlOV1wJ4HCYOzNj43u+v7Atnx4iObG4GsCPf/xj7rrrrk7Xr127lieeeELu\nL/cXwicppSAqmiBnMsqV2CkBak+73WaSU1sDx2ugphpdVwO1x6GultDmJpqSxw1V6H5FRUThuPEe\niIiSQzYDnNI+XHb10KFDA3q8X601kVi81s6oUf5Z2Gug/R18928isQxuLP7Y56W/D147do+lt/1d\n0lshhBBC2I4kOEIIIYSwHUlwhBBCCGE7Pr3IWAghxODasGEDn3zyCTExMTz++ONd3ue5554jJyeH\nsLAwbrvtNsaNGwdATk4OmzZtQmtNeno6V1xxxRBGLsTJyQiOEEIEsPT0dFasWNHt7dnZ2Rw5coRf\n/vKX3Hjjjfz6178GwDAMNm7cyIoVK1i7di3bt2+nqKhoqMIWokeS4AghRABLTU0lMrL7IySysrK4\n4IILAJg0aRK1tbVUVlaSn5/PyJEjSUhIIDg4mLlz55KVlTVUYQvRI0lwhBBCdKuiooL4+LaCeS6X\ni4qKim6vF8JXSIIjhBBCCNvx6UXG3ihe5Y1Ts73VjsQyeG14sx2reKtYm93+JhLL4LXRGy6Xi/Ly\ncs/l8vJyXC4Xzc3NlJWVea6vqKjA5XJ12UZubi65ubmey5mZmdLfB7kdu8eyefNmz/ddHdYNPjyC\n0z54K9vwVjsSy+C14c12rOJLvweJZfDa8FY73u7vWmu6K2o/ffp0/vnPfwLw1VdfERkZSWxsLBMn\nTqS4uJjS0lKam5vZvn0706dP77KNtLQ0MjMzPf/s+Lv0pXYCIZb2/amr5AZ8fARHCCHE4Fq3QGCr\ntAAAIABJREFUbh15eXlUV1dzyy23kJmZSXNzM0opFixYwNlnn012djY/+tGPCA8P55ZbbgHA4XCw\nePFiVq9ejdaa+fPnk5KSYvFPI0QbSXCEECKALV26tMf7LF68uMvrp02bxrp167wdkhBeEfTTn/70\np1YH0Z3ExESfaMNb7Ugsg9eGN9uxii/9HiSWwWvDW+1If/deO74Ui7fakVh8/DRxIYQQQoj+8NlF\nxkIIIYQQ/SUJjhBCCCFsRxIcIYQQQtiOz+2i8tbptLfddhsREREopQgKCuLRRx/t8TFdnapbU1PD\nU089RWlpKYmJidx5551ERET0uZ0///nPbN26lZiYGACuueYapk2b1m0b5eXlrF+/nmPHjqGUIiMj\ng4svvrjP8ZzYzoIFC/jGN77Rp3iamppYuXIlzc3NuN1uZs+ezdVXX93nWLprp6+/GzAP+lu+fDku\nl4tly5b16+/kC6zs7+CdPu+N/g7e6fPe6O/gnT4v/b1r8hpvslt/P1k7lvV57UPcbrdesmSJLikp\n0U1NTfruu+/WhYWF/Wrrtttu09XV1X16zBdffKH37dun77rrLs91v//97/Vrr72mtdb61Vdf1S+8\n8EK/2tm8ebN+4403eh3L0aNH9b59+7TWWtfV1enbb79dFxYW9jme7trpazz19fVaa/NvdP/99+vd\nu3f363fTVTt9jUVrrd944w29bt06/fOf/1xr3b+/k9Ws7u9ae6fPe6O/a+2dPu+t/q61d/q89PeO\nrO7zdnuN97X+3l07VvV5n5qi8ubptPoklTm709Wpujt27PCcpDtv3rxexdPd6bx9iSc2NpZx48YB\nEB4eTnJyMuXl5X2Op6t2Wg/E60s8YWFhgJmhu91uoH+/m67a6Wss5eXlZGdnk5GR4bmuP7FYzer+\nDt7p897o7+CdPu+t/g7e6fPS3zuyus/b7TXe1/p7d+30NR5v9XmfmqLq6nTa/Pz8frWllGL16tU4\nHA4yMjJYsGBBv9o5duwYsbGxgNmZjh071q92AN58803ee+89JkyYwPe+971eDymXlJRQUFDA5MmT\nBxRPazuTJk1i165dfYrHMAzuu+8+jhw5woUXXsjEiRP7FUtX7WRnZ/cplueff57rrruO2tpaz3Xe\n/DsNFV/s7+C932V/+zt4p88PpL+Dd/q89PeOfLHP2+U13hf6e3ftWNXnfSrB8aZVq1YRFxdHVVUV\nq1atIiUlhdTU1AG3q5Tq1+MuvPBCrrrqKpRS/OlPf+L555/3lDw/mfr6ep544gluuOEGwsPD+x3P\nie30NR6Hw8Fjjz1GbW0tjz/+OAcPHuxXLCe2U1hY2KdYWue9x40b1+Hwvv7EYieD1d+hf7/L/vZ3\n8E6fH2h/B+/0eenvg0de47tvw6r+3lU7VvZ5n5qicrlcvT6dtidxcXEAREdHM3PmzH5/SoiNjaWy\nshKAyspKzyKpvoqOjvb8QTIyMtizZ0+Pj3G73axdu5bzzz+fGTNm9DuertrpTzwAERERTJkyhZyc\nnAH9btq305dYdu3axY4dO1iyZAnr1q1j586dPP300177Ow0lX+zv4J0+39/+5Y0+783+Dt7p89Lf\nTb7Y5/39Nd4X+/uJ7VjV530qwenL6bQn09DQQH19PWBmtp999hmjR4/u1WNPnNc955xz2LZtGwDb\ntm3rdTwnttP6hwH46KOPehXPhg0bSElJ4eKLLx5QPF2105d4qqqqPEOFjY2NfP755yQnJ/c5lq7a\nGTVqVJ9iufbaa9mwYQPr16/njjvu4PTTT+dHP/pRv/9OVvKF/g7e6fPe6O/gnT4/0P4O3unz0t87\n84U+b7fXeF/p7921Y2Wf97mjGnJycvjtb3/rOZ22P1sIS0pKWLNmDUop3G435513Xq/aaX+qbkxM\nDJmZmcyYMYMnn3ySsrIyEhISuPPOO7tcXNZTO7m5uezfvx+lFAkJCdx4442e+cSu7Nq1i5UrVzJm\nzBiUUiiluOaaa5g4cWKf4umunQ8++KDX8Rw4cIBf/epXGIaB1po5c+bw7W9/m5qamj7F0l0769ev\n79PvplVeXh5vvPGGZwthX/9OvsDK/g7e6fPe6O/gnT7vjf4O3unz0t+7Jq/xJrv195O1Y1Wf97kE\nRwghhBBioHxqikoIIYQQwhskwRFCCCGE7UiCI4QQQgjbkQRHCCGEELYjCY4QQgghbEcSHCGEEELY\njiQ4QgghhLAdSXCEEEIIYTuS4AghhBDCdiTBEUIIIYTtSIIjhBBCCNuRBEcIIYQQtiMJjhBCCCFs\nRxIcIYRPqq+v58YbbyQ2Npb4+Hhuv/12VqxYwaRJk6wOTQiveeeddwgLC6O+vh6AhoYGwsPDOf/8\n8z332bJlC2FhYdTW1loVpl+SBEcI4ZPuvfde3njjDf7whz/w4YcfEhUVxTPPPINSyurQhPCaOXPm\nEBQUxPvvvw/A9u3biY6OJisri7q6OgDeffddZs6cSUREhJWh+h1JcPxESUkJ69at4/LLLycrK4vf\n/e53/Pa3v2XRokVWhyaE19XW1vLss8/y6KOP8s1vfpNJkybxyCOPkJqaanVoQnhVeHg4s2bNYuvW\nrYA5onP55ZczYcIET9LzzjvvMH/+fCvD9EuS4PiJV199ldtvv528vDxyc3P53ve+x/e//33eeust\nysrKrA5PCK/Kz8+nqamJWbNmdbj+3HPPtSgiIQZPeno677zzDmAmMxkZGcybN4933nmH6upq/v3v\nf0uC0w+S4PiJ73znOxQVFXH8+HFuuOEGAI4cOYLb7SY+Pt7a4IQYBFprmY4SAWH+/PlkZ2dz8OBB\nTzIzf/58tm7dyj//+U9CQ0OZM2eO1WH6HUlw/ERMTAxvv/02GRkZnuu2bt3KvHnz5E1A2M7EiRMJ\nDQ3lX//6V4frP/zwQ4siEmLwzJo1i7CwMB5++GEmT55MYmIi6enpfPrpp/zlL39hzpw5hISEWB2m\n35EEx49s2bKFhQsXei6//fbbLFiwwMKIhBgcERER3HTTTfzkJz/hr3/9K7t37+YnP/kJeXl5ktAL\n2wkJCWHu3Lk8//zznqmouLg4Tj/9dF544QWZnuonSXD8yO7du7nwwgs9l7du3doh4RHCTh577DEu\nvfRSFi1axKxZszh69Cg33HAD4eHhVocmhNelp6fjdrs7JDPz58/vdJ3oPaW11lYHIfouPz+fjIwM\nCgoKrA5FiCGTkZGBy+Xiz3/+s9WhCCF8nM+O4OTm5vpEG95qx9uxnLgex8pYrG7Dm+1YxZd+D74S\ny86dO3nkkUfYvXs3O3fuZNmyZWzbto0bb7xxyGPxVhveakf6u/fa8aVYvNWOxGKSBGeI2vF2LDt3\n7uRb3/qWT8RidRvebMcqvvR78JVYlFJs2rSJmTNnMnfuXLZt28Zrr73Wr2lZO/1evNWGlez4u/Sl\ndiQWU7BXnlkMufXr11sdghCDKi0tjdWrV5OZmWl1KEIIP+SzIzhCCCGEEP0li4yFEEIIYTs+PUV1\n6NChAT3e6XRSXV094Di80Y7EMnSxjBo1asDtWWGg/R18928isQxuLP7Y56W/D147do+lt/1dpqiE\nEEIIYTuS4AghhBDCdiTBEUIIIYTtSIIjhBBCCNuRBEeIE+Tk5HDHHXewdOlSXnvttW7vl5+fzzXX\nXMNHH33U58cKIYQYXJLgCNGOYRhs3LiRFStWsHbtWrZv305RUVGX93vxxReZOnVqnx8rhBBi8EmC\nI0Q7+fn5jBw5koSEBIKDg5k7dy5ZWVmd7vfmm28ye/ZsoqOj+/xYIYQQg8+n6+AIMdQqKiqIj4/3\nXHa5XOTn53e6T1ZWFitXruxwW28e6wt0bQ0U7u/29uaICHRt7YCfxxvtSCwnaSM6DhUdN+B47E4b\nBpQchhGjUEpZHY4YQpLgCNFHmzZtYtGiRVaH0W/Gz5fB4YPd3l7jpefxRjsSS/dtqMU/Rs2e54XW\n7E1vfQO9eSPqB3ehZl1gdThiCPl0gpOcnNzpuh//+Mfcddddna5fu3YtTzzxhNxf7j8gLpeLsrIy\nz+WKigpcLleH++zdu5ennnoKrTXV1dVkZ2cTFBTUq8e2ys3N7XA6bmZmJk6nc8Dxh4aG9thOZdkR\nAIJOPR1U51lqh0NhGAM/wcUb7Ugs3bcROmIkIe3+1ps3b/Z8n5aWRlpa2oCewzYO7jW/7s8HSXAC\nik+fRSVHNUgs/WlnIGXrDcNg6dKlPPjgg8TFxbF8+XKWLl1KSkpKl/d/5plnOOecc5g1a1afH3ui\noSpd7775W+B249jwF1Rw5884du8fdoxFjmronvvJlZCXDVNnErTkJ/1qw1uxDFU7do+lt/3dp0dw\ndHNzly/AQrTShgFHy2guPghJowfcnsPhYPHixaxevRqtNfPnzyclJYUtW7aglGLBggV9fqwv0VqD\n221ecMgeAxEAjlWYX1tGLkXg8O3soawYknzrDUJYQ2sNlRVQuB9duA8KC9DFB6G4CBobOO6MwfHE\n773yXNOmTWPdunUdrlu4cGGX97311lt7fKxP0Yb5VTlQkuCIQFBVaX4tLUZrLQuNA4hvJzjFRZLg\nBChdfQz27EIX5KP350NBPlQf6/rO0bEEpYzDaGxAhYYNbaD+xt2S4ARJciPsTzc3t71uNDZAdSXI\nzrOA4dMJjj5yCMm1A4OuKEPv+hR256Hz88zk9kQRUTB6PCplHCSPRY0cDSNHoyKjiPLSPK/tGa3T\nU0HWxiHEUGgdvWlVekQSnADSqwQnJyeHTZs2obUmPT2dK664osPtH3zwAa+//joA4eHh/OAHP2Ds\n2LEA3HbbbURERKCUIigoiEcffbT30R2RKrB2pZsaYddn1H75Oe5Ps6C4sOMdQkNh3GTU+EmocZNg\n3CSIT5Th5YFyN5tfgyTBEQGg6miHi7q0GDUh1aJgxFDrMcFpLT/ffmfIjBkzOmzhTkxM5KGHHiIi\nIoKcnByeffZZfvaznwGglGLlypVERUX1OTh94pue8Gv6eA0650N0zkeQlwONDTS23hg2DE49HXXq\n6ahJaeZITXCIleHaU+sUlYzgiEBwrGOCQ1mxNXEIS/SY4LQvPw94ys+3T3AmT57s+X7SpElUVFR4\nLmut6fdO9CMD30YorKUb6tE5H6Gz3oedn7SNIACMOYWw6XNpmpRmjtbIjrnB1zpFJSM4IgDo1h1U\nQcHma0+JJDiBpMd3lL6Wn9+6dSvTpk3zXFZKsXr1ahwOBxkZGSfdZttJVSW69jgqIrL3jxGW01rD\n/t3oD7agP34P6uvMG5QDTpuKOvtc1JkzUa7hDHM6aZa1M0PHLWtwRAA51rIGZ+wE2PslWkZwAopX\nPzLv3LmTbdu28fDDD3uuW7VqFXFxcVRVVbFq1SpSUlJITe3DHOiRIhg/uef7Ccvppkb0x++h334D\nCve13XDKqajZ81DnzJGzc6wmIzgikLSM4KiJp6H3fmkuMhYBo8cEp7fl5wsKCnj22We5//77O6y3\niYsz39Cio6OZOXMm+fn5XSY4XZWuBwivLCe0nyXse1O2fqjasXMsRtUxGv/xGg1bXke3zHkrZwyh\n53+d0PSLCUoZN2SxtJKy9d0wpMifCBytr0eMm2Qm9ZXl6KZGVEiotYGJIdFjgjNx4kSKi4spLS0l\nLi6O7du3s3Tp0g73KSsrY+3atSxZsoSkpCTP9Q0NDWitCQ8Pp76+ns8++4yrrrqqy+fp7k2ormAP\nDf2cwrB7uWqrY4nUBtWvvoB+56/Q0DINlTIetfAy1IzzaQ4JoRngJM81GL8Xp9PpSZDFCdwygiMC\nSOsHrrh4tCsBSouhrARGSn21QNBjgtOb0vUvv/wyNTU1bNy4Ea21Zzv4sWPHWLNmDUop3G435513\nHlOnTu1bhF3VQxGW0nW16Ddfoeqd/21bX3P62TguuhImny5buX2ZrMERgaR1BCfGBQlJLQlOsSQ4\nAaJXa3B6Kl1/8803c/PNN3d6XGJiImvWrBlQgFpq4fgMbbjRH7yNfu2Ftuqgp5+D49LvoE451drg\nRO9IoT8RILTWbXVwouNQw5PQtNTCsTQyMVR8f19uySG0Yci5ORbTu/MwXvwvKNx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1AAAg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\nEHYjxzQIK/PtYCz33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TzyyCN8+OGHIcUyuJ2jR48GFYt33js/P3/A4X2hxGInkervENr3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\nCCGEELYjCY4QQgghbEcSHCGEEELYzv8HPqjmza8fvlEAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plot_irfs([sol_ref, psol], **plot_kwargs)\n", "fig.suptitle('RMT4 Figure 11.9.1', fontsize=18, y=1.05)\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This was a much easier way to construct the same plot. We will use this approach going forward." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Change in IES (RMT3 Figure 11.9.2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now want to highlight the impact of the parameter $\\gamma$ in the household's preferences. The intertemporal elasticity of substitution (IES) for these preferences is given by $1/\\gamma$. This means that higher values of $\\gamma$ decrease IES, making the household less willing to substitute consumption across time.\n", "\n", "Let's perform the same experiment as above, but this time with $\\gamma$ set to $0.2$ instead of $2.0$." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Change gamma and compute solution again\n", "model.set_calibration('gamma', 0.2)\n", "sol_ies = pf.deterministic_solve(model, shocks=shocks_1, T=T, ignore_constraints=True)\n", "sol_ies[\"Rb\"] = model.eval_formula(Rbar_formula, dataframe=sol_ies)\n", "psol_ies = sol_ies.ix[:p_T]" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Vq9m9ezfl5eUsWLCA9PR0GhoaUEoxe/ZsRo8ezfbt27n99tsJCQlhwYIFAJw4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WAAAg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\nbdU9YcIEpk6dCugrOwUFBaFr4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OAg1dXVXH755d7b3nDDDXz3u99l1apVpKWlcfHFF/sf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\nf381HD4IjlZwtCI//vPw6N9MGxRM0cd15E/WRyVNL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MAhCIIgCMJ00AKHIAiCIAjTQQsc\ngiAIgiBMBy1wCIIgCIIwHbTAIQiCIAjCdNAChyAIgiAI0/E/LxgQCnhK1sUAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# generate figure\n", "fig = plot_irfs([sol_ref, psol, psol_ies], **plot_kwargs)\n", "fig.suptitle('RMT4 Figure 11.9.2', fontsize=18, y=1.05)\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the figure above the solid red line represents the experiment when $\\gamma=2.0$, the dash-dotted blue line tracks the equilibrium in the experiment when $\\gamma=0.2$, and the black dashed line tracks the steady state.\n", "\n", "Notice that because the household is more willing to move consumption across time when $\\gamma$ is smaller, the movement from initial to final levels of consumption is both larger and quicker. This lets the consumption stream \"swallow\" most of the impact of the increase in $g$ and capital doesn't respond as much (think about the household budget constraint). Factor prices and $\\bar{R}$ are functions of the captial stock, so they also do not respond as sharply." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Prices and interest rates (RMT3 Figure 11.9.3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will now return to the case where $\\gamma=2.0$ and take a closer look at prices and interest rates in this economy.\n", "\n", "We say that $R_{t,t+1}$ is the gross one period interest rate between $t$ and $t+1$. In equilibrium it can be written:\n", "\n", "$$R_{t,t+1}= \\left[(1 - \\tau_{kt+1})(\\alpha A k_{t+1}^{\\alpha-1} - \\delta) + 1 \\right]$$.\n", "\n", "We define $r_{t,t+1} := R_{t,t+1} - 1$ as the corresponding net interest rate.\n", "\n", "Finally we define $r_{t,t+s}$ to be the net $s$ period interest rate between periods $t$ and $t+s$. It is defined as\n", "\n", "$$r_{t,t+s} = \\frac{1}{s} \\left(r_{t,t+1} + r_{t+1,t+2} + \\cdots + r_{t+s-1,t+s} \\right) = - \\frac{1}{s} \\log \\left(\\frac{q_{t+s}}{q_t}\\right).$$\n", "\n", "A plot of $r_{t,t+s}$ as $s$ increases is called the real yield curve at $t$. Below we will plot the yield curve at $t=0,10,60$.\n", "\n", "Let's construct each of those objects now." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# reset gamma\n", "model.set_calibration(\"gamma\", 2.0)\n", "\n", "# helper function to make it easier to add variables\n", "def add_variable(name, formula, dfs=[sol, sol_ref]):\n", " for df in dfs:\n", " df[name] = model.eval_formula(formula, dataframe=df)\n", "sol[\"c_0\"] = sol[\"c\"][0]\n", "sol_ref[\"c_0\"] = sol_ref[\"c\"][0]\n", "add_variable(\"q\", \"beta**(t+1)*c**(-gamma)/(c_0**(-gamma))\")\n", "add_variable(\"qbar\", \"beta**t\")\n", "add_variable(\"R\", \"(1-tau_k(1)) * (alpha*A*k(1)**(alpha-1) - delta) + 1\")\n", "add_variable(\"r\", \"R-1\")" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# now construct yield curve at t=0, t=10, t=60\n", "s = np.arange(p_T)\n", "nans = np.ones(sol.shape[0]-p_T)*np.nan\n", "q = np.array(sol[\"q\"])\n", "for t in [0, 10, 60]:\n", " rs = np.log(q[s+t]/q[t]) /(-s)\n", " # pad the array with NaN so we can add as a column to df\n", " sol[\"rs_{0}\".format(t)] = np.concatenate([rs, nans])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we are ready to construct the plot we are after." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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ptu+/Qn+6HAwD44G/oi6+1OxILk8KHCGqISMjg/DwcJo0aYK3tzfdu3cnJSWl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\nlZWRkJDAj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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# note, this is a little hack to make it so we can use the\n", "# handy plot_irf functions to get the yield curve at t=0 and t=60\n", "sol_ref[\"rs_0\"] = sol[\"rs_60\"]\n", "\n", "# now construct figure\n", "fig = plot_irfs([sol_ref, sol], variables=[\"c\", \"q\", \"r\", \"rs_0\", \"g\"],\n", " line_options=plot_kwargs[\"line_options\"],\n", " titles=[\"c\", \"q\", r\"$r_{t,t+1}$\", r\"$r_{t,t+s}$\", \"g\"]);\n", "\n", "# add in the t=10 yeild curve and a title\n", "sol[\"rs_10\"][:p_T].plot(ax=fig.axes[3], **plot_kwargs[\"line_options\"][2])\n", "fig.suptitle('RMT4 Figure 11.9.3', fontsize=18, y=1.05);\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Consumption tax shocks (RMT 3 Figure 11.3.4)\n", "\n", "Now let's consider the second experiment: a once-and-for-all increase in $\\tau_c$ from 0 to 0.2 in period 10." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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0HnzwQaxWK0lJSQ2e74pK7of+N+acp2gSnZeLMe9xOFmEtXtv9K//YP61IfzX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\np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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sol2 = pf.deterministic_solve(model, shocks=shocks_2, \n", " T=T, ignore_constraints=True)\n", "sol2[\"Rb\"] = model.eval_formula(Rbar_formula, dataframe=sol2)\n", "psol2 = sol2.ix[:p_T]\n", "\n", "fig = plot_irfs([sol_ref, psol2], variables=[\"k\", \"c\", \"Rb\", \"eta\", \"tau_c\"],\n", " titles=[\"k\", \"c\", r\"$\\bar{R}$\", r\"$\\eta$\", r\"$\\tau_c$\"],\n", " line_options=plot_kwargs[\"line_options\"])\n", "fig.suptitle('RMT4 Figure 11.9.4', fontsize=18, y=1.05);\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Capital tax shocks (RMT 3 Figure 11.9.5)\n", "\n", "Next, we turn to the third experiment: a once-and-for-all increase in $\\tau_k$ from 0 to 0.2 in period 10" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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MBhRFITU11eZxMTExDBo0iL/85S9otVqio6ObbH89lFvuQN38MeqPO1HvnogS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\nhgxxl0lISGDZsmWYTCYKCgrIyclh5cqVA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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sol3 = pf.deterministic_solve(model, shocks=shocks_3, \n", " T=T, ignore_constraints=True)\n", "sol3[\"Rb\"] = model.eval_formula(Rbar_formula, dataframe=sol3)\n", "psol3 = sol3.ix[:p_T]\n", "\n", "# here we also want to look at the impact of changing the ies\n", "model.set_calibration(\"gamma\", 0.2)\n", "sol3_ies = pf.deterministic_solve(model, shocks=shocks_3, \n", " T=T, ignore_constraints=True)\n", "sol3_ies[\"Rb\"] = model.eval_formula(Rbar_formula, dataframe=sol3_ies)\n", "psol3_ies = sol3_ies.ix[:p_T]\n", "model.set_calibration(\"gamma\", 2.0) # reset gamma\n", "\n", "fig = plot_irfs([sol_ref, psol3, psol3_ies], variables=[\"k\", \"c\", \"Rb\", \"eta\", \"tau_k\"],\n", " titles=[\"k\", \"c\", r\"$\\bar{R}$\", r\"$\\eta$\", r\"$\\tau_k$\"],\n", " line_options=plot_kwargs[\"line_options\"])\n", "fig.suptitle('RMT4 Figure 11.9.5', fontsize=18, y=1.05);\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Impulse shock to g (RMT 3 Figure 11.9.6)\n", "\n", "Finally, we turn to the fourth experiment: a one-time shock to $g$ from 0.2 to 0.4 in period 10, then back to 0.2 forever." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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nzJhBaWkpTz/9NN27dycnJ4fIyEg6duxIenp6vcWbUP/02ZaeWdISbTh6vfVo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\ns6h2V0FzEwwvwowY1X9xifRWIME50THB4eNj/o95GmYd6Or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S6V4fCPc5JNe9Ho+fbSrf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G6CU/Y5AGxVZe8aCNYoOPZHJANZ5x4cFRmLiMM49937/Iv9ycmeXdiTzdGfH5xF5dwfkQxg3k73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\nICMjAw6HI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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sol4 = pf.deterministic_solve(model, shocks=shocks_4, \n", " T=T, ignore_constraints=True)\n", "sol4[\"Rb\"] = model.eval_formula(Rbar_formula, dataframe=sol4)\n", "psol4 = sol4.ix[:p_T]\n", "\n", "fig = plot_irfs([sol_ref, psol4], variables=[\"k\", \"c\", \"Rb\", \"eta\", \"g\"],\n", " titles=[\"k\", \"c\", r\"$\\bar{R}$\", r\"$\\eta$\", \"g\"],\n", " line_options=plot_kwargs[\"line_options\"])\n", "fig.suptitle('RMT4 Figure 11.9.6', fontsize=18, y=1.05)\n", "fig.tight_layout()" ] } ], "metadata": { "hide_input": false, "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": "3.5.1" } }, "nbformat": 4, "nbformat_minor": 1 }