response_decomposition.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "ff303fae-ce2b-41c5-8a4d-2793ee527b9c",
   "metadata": {},
   "outputs": [],
   "source": [
    "using Compat, Random, Distributions, Plots, LinearAlgebra, Statistics, LaTeXStrings, SparseArrays, CPUTime, JLD2\n",
    "using SpecialFunctions, GSL, SuiteSparse, Distributed, Roots, NBInclude\n",
    "gr(fmt=:png)\n",
    "e = 2.7182818284\n",
    "Random.seed!(1);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "bd6d8537-88d1-44e0-9b48-32daefff9068",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3-element Vector{Int64}:\n",
       " 1\n",
       " 2\n",
       " 3"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "addprocs(2)\n",
    "@everywhere using Compat, Random, Distributions, Plots, LinearAlgebra, Statistics, LaTeXStrings, SparseArrays, CPUTime, JLD2, SpecialFunctions, GSL, SuiteSparse, Distributed\n",
    "@everywhere using SharedArrays, ParallelDataTransfer, Roots, NBInclude\n",
    "@everywhere @nbinclude(\"setup.ipynb\")\n",
    "@everywhere using .setup, .functions\n",
    "procs()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "a0a98387-96a2-4cd2-bcd6-50ab64ad7e29",
   "metadata": {},
   "outputs": [],
   "source": [
    "# set the time grid\n",
    "T = 600\n",
    "dt = T/1200\n",
    "T_bar = 24\n",
    "time_grid = collect(0:dt:T)\n",
    "L = length(time_grid)\n",
    "t_grid = dt, L;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "efe4b204-670d-4e03-9b2a-cb7d12bae69f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " 41.717026 seconds (21.23 M allocations: 1.159 GiB, 0.85% gc time, 12.43% compilation time)\n"
     ]
    }
   ],
   "source": [
    "# compute steady-state statistics\n",
    "@load \"steady_state_output.jld2\"\n",
    "@load \"external_parameters.jld2\"\n",
    "par_grid_N, par_grid_T = deepcopy(par_grid), deepcopy(par_grid)\n",
    "par_grid_N.labor = par_grid.labor * prod_N\n",
    "par_grid_N.productivity = par_grid.productivity * prod_N\n",
    "par_grid_T.labor = par_grid.labor * prod_T\n",
    "par_grid_T.productivity = par_grid.productivity * prod_T\n",
    "aN = distr_N'*par_grid.assets\n",
    "aT = distr_T'*par_grid.assets\n",
    "a = par.ζ_T*aT + par.ζ_N*aN\n",
    "\n",
    "@time paral = pmap(q_response,[value_N,value_T],[distr_N,distr_T],(1-par.τ_w)*[ones(L),ones(L)],[par.r_d*ones(L),par.r_d*ones(L)],[zeros(L),zeros(L)],[true,true],[par,par],[par_grid_N,par_grid_T],[t_grid,t_grid])\n",
    " \n",
    "Cq_N, Lq_N, v_N = paral[1]\n",
    "Cq_T, Lq_T, v_T = paral[2];"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "c7e39d22-8ec2-4da1-b6e7-5124ca6062b4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " 24.469936 seconds (1.64 k allocations: 895.266 KiB, 0.01% compilation time)\n",
      " 21.392457 seconds (1.13 k allocations: 905.125 KiB)\n",
      " 23.111327 seconds (1.18 k allocations: 887.766 KiB)\n",
      " 23.719155 seconds (1.19 k allocations: 868.953 KiB)\n",
      " 22.999841 seconds (1.19 k allocations: 907.047 KiB)\n",
      " 21.728007 seconds (1.15 k allocations: 887.344 KiB)\n"
     ]
    },
    {
     "data": {
      "image/png": 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"
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# compute the response decomposition for float\n",
    "@load \"transition_results/float.jld2\"\n",
    "res_float = res_this\n",
    "\n",
    "@time paral = pmap(q_response,[value_N,value_T],[distr_N,distr_T],(1-par.τ_w)*[res_float.wN_sequence,res_float.wT_sequence],[res_float.rd_sequence,res_float.rd_sequence],[zeros(L),zeros(L)],[true,true],[par,par],[par_grid_N,par_grid_T],[t_grid,t_grid])\n",
    "Call_N_float, Lall_N_float, Wall_N_float = paral[1]\n",
    "Call_T_float, Lall_T_float, Wall_T_float = paral[2]\n",
    "\n",
    "@time paral = pmap(q_response,[value_N,value_T],[distr_N,distr_T],(1-par.τ_w)*[res_float.wN_sequence,res_float.wT_sequence],[par.r_d*ones(L),par.r_d*ones(L)],[zeros(L),zeros(L)],[true,true],[par,par],[par_grid_N,par_grid_T],[t_grid,t_grid])\n",
    "Cwage_N_float, Lwage_N_float, Wwage_N_float = paral[1]\n",
    "Cwage_T_float, Lwage_T_float, Wwage_T_float = paral[2]\n",
    "\n",
    "@time paral = pmap(q_response,[value_N,value_T],[distr_N,distr_T],(1-par.τ_w)*[ones(L),ones(L)],[res_float.rd_sequence,res_float.rd_sequence],[zeros(L),zeros(L)],[true,true],[par,par],[par_grid_N,par_grid_T],[t_grid,t_grid])\n",
    "Crate_N_float, Lrate_N_float, Wrate_N_float = paral[1]\n",
    "Crate_T_float, Lrate_T_float, Wrate_T_float = paral[2]\n",
    "\n",
    "full_float_T = reshape(100*log.(Call_T_float./Cq_T),par_grid.N,par_grid.K)*ones(par_grid.K)/par_grid.K\n",
    "wage_float_T = reshape(100*log.(Cwage_T_float./Cq_T),par_grid.N,par_grid.K)*ones(par_grid.K)/par_grid.K\n",
    "rate_float_T = reshape(100*log.(Crate_T_float./Cq_T),par_grid.N,par_grid.K)*ones(par_grid.K)/par_grid.K\n",
    "\n",
    "full_float_N = reshape(100*log.(Call_N_float./Cq_N),par_grid.N,par_grid.K)*ones(par_grid.K)/par_grid.K\n",
    "wage_float_N = reshape(100*log.(Cwage_N_float./Cq_N),par_grid.N,par_grid.K)*ones(par_grid.K)/par_grid.K\n",
    "rate_float_N = reshape(100*log.(Crate_N_float./Cq_N),par_grid.N,par_grid.K)*ones(par_grid.K)/par_grid.K\n",
    "\n",
    "# compute the response decomposition for peg\n",
    "@load \"transition_results/peg.jld2\"\n",
    "res_peg = res_this\n",
    "\n",
    "@time paral = pmap(q_response,[value_N,value_T],[distr_N,distr_T],(1-par.τ_w)*[res_peg.wN_sequence,res_peg.wT_sequence],[res_peg.rd_sequence,res_peg.rd_sequence],[zeros(L),zeros(L)],[true,true],[par,par],[par_grid_N,par_grid_T],[t_grid,t_grid])\n",
    "Call_N_peg, Lall_N_peg, Wall_N_peg = paral[1]\n",
    "Call_T_peg, Lall_T_peg, Wall_T_peg = paral[2]\n",
    "\n",
    "@time paral = pmap(q_response,[value_N,value_T],[distr_N,distr_T],(1-par.τ_w)*[res_peg.wN_sequence,res_peg.wT_sequence],[par.r_d*ones(L),par.r_d*ones(L)],[zeros(L),zeros(L)],[true,true],[par,par],[par_grid_N,par_grid_T],[t_grid,t_grid])\n",
    "Cwage_N_peg, Lwage_N_peg, Wwage_N_peg = paral[1]\n",
    "Cwage_T_peg, Lwage_T_peg, Wwage_T_peg = paral[2]\n",
    "\n",
    "@time paral = pmap(q_response,[value_N,value_T],[distr_N,distr_T],(1-par.τ_w)*[ones(L),ones(L)],[res_peg.rd_sequence,res_peg.rd_sequence],[zeros(L),zeros(L)],[true,true],[par,par],[par_grid_N,par_grid_T],[t_grid,t_grid])\n",
    "Crate_N_peg, Lrate_N_peg, Wrate_N_peg = paral[1]\n",
    "Crate_T_peg, Lrate_T_peg, Wrate_T_peg = paral[2]\n",
    "\n",
    "full_peg_T = reshape(100*log.(Call_T_peg./Cq_T),par_grid.N,par_grid.K)*ones(par_grid.K)/par_grid.K\n",
    "wage_peg_T = reshape(100*log.(Cwage_T_peg./Cq_T),par_grid.N,par_grid.K)*ones(par_grid.K)/par_grid.K\n",
    "rate_peg_T = reshape(100*log.(Crate_T_peg./Cq_T),par_grid.N,par_grid.K)*ones(par_grid.K)/par_grid.K\n",
    "\n",
    "full_peg_N = reshape(100*log.(Call_N_peg./Cq_N),par_grid.N,par_grid.K)*ones(par_grid.K)/par_grid.K\n",
    "wage_peg_N = reshape(100*log.(Cwage_N_peg./Cq_N),par_grid.N,par_grid.K)*ones(par_grid.K)/par_grid.K\n",
    "rate_peg_N = reshape(100*log.(Crate_N_peg./Cq_N),par_grid.N,par_grid.K)*ones(par_grid.K)/par_grid.K;\n",
    "\n",
    "# plot the decomposition\n",
    "plot_CT_float = plot(par_grid.q_grid/a,full_float_T,xlim=[par_grid.a_bar/a,5.0],color=:black,ls=:dash,lw=3,ylim=[-0.95,0.25],label=\"\",title=L\"\\mathrm{(a)\\ T\\ sector,\\ float}\")\n",
    "plot!(par_grid.q_grid/a,zeros(par_grid.N),fillrange=wage_float_T,color=:deepskyblue,alpha=0.33,label=L\"\\mathrm{wage\\ effect}\")\n",
    "plot!(par_grid.q_grid/a,zeros(par_grid.N),fillrange=rate_float_T,color=:grey,alpha=0.5,grid=:false,label=L\"\\mathrm{interest\\ rate\\ effect}\")\n",
    "plot!(par_grid.q_grid/a,full_float_T,color=:black,ls=:dash,lw=3,label=\"\")\n",
    "\n",
    "plot_CN_float = plot(par_grid.q_grid/a,full_float_N,xlim=[par_grid.a_bar/a,5.0],color=:black,ls=:dash,lw=3,ylim=[-0.95,0.25],label=\"\",title=L\"\\mathrm{(b)\\ N\\ sector,\\ float}\")\n",
    "plot!(par_grid.q_grid/a,rate_float_N,fillrange=rate_float_N+wage_float_N,color=:deepskyblue,alpha=0.33,label=L\"\\mathrm{wage\\ effect}\")\n",
    "plot!(par_grid.q_grid/a,zeros(par_grid.N),fillrange=rate_float_N,color=:grey,alpha=0.5,grid=:false,label=L\"\\mathrm{interest\\ rate\\ effect}\")\n",
    "plot!(par_grid.q_grid/a,full_float_N,color=:black,ls=:dash,lw=3,label=\"\")\n",
    "\n",
    "lab_N = reshape(100*log.(Lall_N_float./Lq_N),par_grid.N,par_grid.K)*ones(par_grid.K)/par_grid.K\n",
    "lab_T = reshape(100*log.(Lall_T_float./Lq_T),par_grid.N,par_grid.K)*ones(par_grid.K)/par_grid.K\n",
    "plot_L_float = plot(par_grid.q_grid/a,lab_N,xlim=[par_grid.a_bar/a,5.0],color=:black,lw=3,label=L\"\\mathrm{N}\",title=L\"\\mathrm{(c)\\ labor\\ response,\\ float}\",ylim=[-0.4,0.4])\n",
    "plot!(par_grid.q_grid/a,lab_T,color=:grey,ls=:dash,lw=3,label=L\"\\mathrm{T}\")\n",
    "\n",
    "plot_CT_peg = plot(par_grid.q_grid/a,full_peg_T,xlim=[par_grid.a_bar/a,5.0],color=:black,ls=:dash,lw=3,ylim=[-0.95,0.25],label=\"\",title=L\"\\mathrm{(d)\\ T\\ sector,\\ peg}\")\n",
    "plot!(par_grid.q_grid/a,zeros(par_grid.N),fillrange=wage_peg_T,color=:red,alpha=0.25,label=L\"\\mathrm{wage\\ effect}\")\n",
    "plot!(par_grid.q_grid/a,zeros(par_grid.N),fillrange=rate_peg_T,color=:grey,alpha=0.5,grid=:false,label=L\"\\mathrm{interest\\ rate\\ effect}\")\n",
    "plot!(par_grid.q_grid/a,full_peg_T,color=:black,ls=:dash,lw=3,label=\"\")\n",
    "\n",
    "plot_CN_peg = plot(par_grid.q_grid/a,full_peg_N,xlim=[par_grid.a_bar/a,5.0],color=:black,ls=:dash,lw=3,ylim=[-0.95,0.25],label=\"\",title=L\"\\mathrm{(e)\\ N\\ sector,\\ peg}\")\n",
    "plot!(par_grid.q_grid/a,rate_peg_N,fillrange=rate_peg_N+wage_peg_N,color=:red,alpha=0.25,label=L\"\\mathrm{wage\\ effect}\")\n",
    "plot!(par_grid.q_grid/a,zeros(par_grid.N),fillrange=rate_peg_N,color=:grey,alpha=0.5,grid=:false,label=L\"\\mathrm{interest\\ rate\\ effect}\")\n",
    "plot!(par_grid.q_grid/a,full_peg_N,color=:black,ls=:dash,lw=3,label=\"\")\n",
    "\n",
    "lab_N = reshape(100*log.(Lall_N_peg./Lq_N),par_grid.N,par_grid.K)*ones(par_grid.K)/par_grid.K\n",
    "lab_T = reshape(100*log.(Lall_T_peg./Lq_T),par_grid.N,par_grid.K)*ones(par_grid.K)/par_grid.K\n",
    "plot_L_peg = plot(par_grid.q_grid/a,lab_N,xlim=[par_grid.a_bar/aN,5.0],color=:black,lw=3,label=L\"\\mathrm{N}\",title=L\"\\mathrm{(f)\\ labor\\ response, peg}\",ylim=[-0.4,0.4])\n",
    "plot!(par_grid.q_grid/a,lab_T,color=:grey,ls=:dash,lw=3,label=L\"\\mathrm{T}\")\n",
    "\n",
    "l = @layout[a a a; a a a]\n",
    "plot(plot_CT_float,plot_CN_float,plot_L_float,plot_CT_peg,plot_CN_peg,plot_L_peg,layout=l,size=(900,600),legendfontsize=12,titlefontsize=12,legend=:bottomright,xlabel=L\"a\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "59e40d37-f968-4519-abbe-3b7e4113bc59",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\"graphs/response_decomposition.png\""
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "png(\"graphs/response_decomposition.png\")"
   ]
  }
 ],
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