{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "a1776a87-89b2-4b92-87b3-00a05bf39a2c",
   "metadata": {},
   "source": [
    "# 1.7 RBC Model in Julia"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b8696ee9-d2cf-4002-aa38-e07b2f06bb84",
   "metadata": {},
   "source": [
    "The algorithm is the same as that in MATLAB and Python case. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1b8bd254-b153-45ee-8a3c-9c4015f0bf4c",
   "metadata": {},
   "source": [
    "## Import modules"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f01385f8-91cc-4d7f-9d35-842e23c8b3d8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "C:\\Users\\ading\\A_TA_Notes\n"
     ]
    }
   ],
   "source": [
    "println(pwd())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "61d6819a-86f3-4be3-a002-8357a5ed39ed",
   "metadata": {},
   "outputs": [],
   "source": [
    "cd(\"C:/Users/ading/A_TA_Notes\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c432765c-0ab3-4739-9023-cb8bc7752938",
   "metadata": {},
   "outputs": [],
   "source": [
    "push!(LOAD_PATH,\"\")\n",
    "using Parameters, ModelUtils"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f13008d3-1a16-4f54-b38f-eacbd9231ec6",
   "metadata": {},
   "source": [
    "It seems that Julia doesn't have command like \"clear all\" in MATLAB, so when I re-run a script after adjustment, I usually meet some variable contradiction problems. What I can do up to now, is to restart the program.."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "77adfa52-7c4d-4762-b369-3b0341bb0fa5",
   "metadata": {},
   "source": [
    "I use module ModelUtils, which is written by Professor Alisdair Mckay."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6783d9a1-5aac-49e8-891b-96b40e9e30a5",
   "metadata": {},
   "source": [
    "## Parameters"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0e257b28-9a9a-4e01-8c37-192e83c3648d",
   "metadata": {},
   "source": [
    "To input Greek letters, first type \"\\alpha\" on the keyboard and then press Tab."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "bd4cbbd6-bb39-411d-a5a3-242b39c5fd99",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "VarsExog"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# parameters\n",
    "@with_kw struct Par \n",
    "    α = 0.35\n",
    "    β = 0.99\n",
    "    γ = 1.0\n",
    "    δ = 0.025\n",
    "    ρ = 0.95\n",
    "    ϕ = 7.8\n",
    "    η = 1.0\n",
    "end\n",
    "par = Par();\n",
    "\n",
    "@endogenousvariables A R N K Y C I W\n",
    "@exogenousvariables ε"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e72786df-e07f-4a63-8160-8982d9825004",
   "metadata": {},
   "source": [
    "## Steady state"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "eb0c21e0-8b8c-4d89-b57f-ee9084a455dc",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dict(\"initial\" => [1.0, 0.03510101010101017, 0.3333333333333333, 11.466075350722265, 1.14991664772756, 0.8632647639595032, 0.28665188376805667, 2.242337463068742], \"exog\" => [0.0])"
     ]
    }
   ],
   "source": [
    "# steady state\n",
    "function get_ss(par)\n",
    "    @unpack α, β, γ, δ = par\n",
    "    A = 1.\n",
    "    R = 1 / β - 1 + δ\n",
    "    N = 1/3\n",
    "    K = N*((R/A/α))^(1/(α-1))\n",
    "    Y = A*K^α*N^(1-α)\n",
    "    C = Y - δ*K\n",
    "    I = δ*K\n",
    "    W = (1-α)*Y/N\n",
    "    return [A; R; N; K; Y; C; I; W]\n",
    "end\n",
    "steadystate= Dict(\"initial\" => get_ss(par), \"exog\" => [0.]);\n",
    "print(steadystate);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5bd02a02-d6d3-4e4b-88a6-eb065b6f7f27",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create model environment\n",
    "m = ModelEnv(par=par,vars=vardict,steadystate=steadystate,T=100);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6529b168-671b-4e64-a08e-5c6c6efcac29",
   "metadata": {},
   "source": [
    "## Equilibrium system"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "513afcc1-f259-498d-b0d9-aa5e8c6e3685",
   "metadata": {},
   "source": [
    "Note that, .* operator is used for element-wise multiplication of arrays. It multiplies corresponding elements of the arrays.\n",
    "\n",
    "And * operator is used for standard matrix multiplication. It follows the rules of linear algebra for multiplying matrices."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ff718eda-5fba-42de-89ef-ee2ea31711dd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "f (generic function with 1 method)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function f(m::ModelEnv,X,E)\n",
    "    \n",
    "    @unpack A, R, N, K, Y, C, I, W = contemp(X,m)\n",
    "    @unpack A_p, R_p, N_p, K_p, Y_p, C_p, I_p, W_p = lead(X,m)\n",
    "    @unpack A_l, R_l, N_l, K_l, Y_l, C_l, I_l, W_l = lag(X,m)    \n",
    "    @unpack ε = exogenous(E,m)\n",
    "    @unpack α, β, γ, δ, ρ, ϕ, η = m.par\n",
    "    \n",
    "    return [-C.^(-γ) .+ β * (R .- δ .+ 1) .* C_p.^(-γ);\n",
    "            ϕ * N.^(1/η) .- W.*C.^(-γ);            \n",
    "            -Y .+ A .* K_l.^α .*N.^(1-α);\n",
    "            α * A .* K_l.^(α-1).*N.^(1-α) .- R;\n",
    "            (1-α)*A.*K_l.^α.*N.^(-α) .- W;\n",
    "            (1-δ)*K_l .+ I_l .- K;\n",
    "            Y .- C .- I;\n",
    "            -log.(A) .+ ρ .* log.(A_l) .+ ε]    \n",
    "end"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "36f4bb46-5a68-43f1-8e62-0bee20713c65",
   "metadata": {},
   "source": [
    "## Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f890036e-fc36-4f25-bc2e-1675ba1b5fe2",
   "metadata": {},
   "outputs": [],
   "source": [
    "# setup the shock\n",
    "Xss,E = longsteadystate(m);\n",
    "E[1] = 0.01; # 1% shock to TFP at date 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "57a3226a-b109-4ab6-9048-e8f3c4abe84e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# linear solution\n",
    "Xlin = Xss + linearIRFs(f,m) * E;\n",
    "display( plot(Xlin,m) )"
   ]
  }
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