Ch12_LongRun.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Long Run Portfolio Choice\n",
    "\n",
    "This notebook summarizes how the distribution of returns is affected by the investment horizon."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Load Packages and Extra Functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "using Printf, LinearAlgebra, Distributions\n",
    "\n",
    "include(\"src/printmat.jl\")\n",
    "include(\"src/lag.jl\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "using Plots, LaTeXStrings\n",
    "default(size = (480,320),fmt = :png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Distribution of Long-Run Returns in the iid Case\n",
    "\n",
    "If the excess log return over one period $r^e$ is iid $N(\\mu,\\sigma^2)$, then excess log return over $q$ periods is $z^e_q$ is $N(q\\mu,q\\sigma^2)$. We use this result to draw the density function and to calculate the probability of $z^e_q < 0$.\n",
    "\n",
    "\n",
    "### A Remark on the Code\n",
    "\n",
    "The Distributions.jl package defines a normal distribution by `Normal(μ,σ)`, that is, using the standard deviation (not the variance) as the 2nd argument. For horizon `q` we thus use `Normal(q*μ,sqrt(q)*σ)`."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Pdfs of Long-Run Returns (for Different Horizons)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "zᵉ_range = range(-50,100,length=101)\n",
    "μᵉ = 0.06*100                                   #average excess return of annual data\n",
    "σ  = 0.19*100                                   #std of annual data\n",
    "\n",
    "pdf_1y  = pdf.(Normal(μᵉ,σ),zᵉ_range)               #pdf of 1-year returns\n",
    "pdf_10y = pdf.(Normal(10*μᵉ,sqrt(10)*σ),zᵉ_range);  #pdf of 10-year returns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\" />"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p1 = plot( zᵉ_range,[pdf_1y pdf_10y],\n",
    "           linecolor = [:red :green],\n",
    "           linestyle = [:solid :dot],\n",
    "           linewidth = 2,\n",
    "           label = [\"1y\" \"10y\"],\n",
    "           title = \"Pdf of excess returns\",\n",
    "           xlabel = \"excess return, %\" )\n",
    "display(p1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##    Prob(zᵉ < 0) for Different Horizons\n",
    "\n",
    "### A Remark on the Code\n",
    "code like `y = [exp(q) for q in 1:10]` creates a vector with 10 elements (`exp(1),exp(2)...`). It's a short form of a loop. In some cases, this is more conveniently writen as `exp.(1:10)`, but in other cases a loop works better (here it does since we have to change the distribution for each `q`)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\" />"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "q_max         = 10      #longest horizon considered in the calculations\n",
    "qM = vcat(0.25,1:q_max)\n",
    "ProbNegReturn = [cdf(Normal(q*μᵉ,sqrt(q)*σ),0) for q in qM]   #Pr(z<=0) for different horizons\n",
    "\n",
    "txt = L\"\\mathrm{Pr}(z^e<0)\"\n",
    "p1 = plot( qM,ProbNegReturn*100,\n",
    "           linecolor = :blue,\n",
    "           linewidth = 2,\n",
    "           legend = false,\n",
    "           title = \"Probability of negative excess return\",\n",
    "           xlabel = \"Investment horizon (years)\",\n",
    "           ylabel = \"%\",\n",
    "           annotation = (7,37,text(txt,10,:left)) )\n",
    "display(p1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## E(zᵉ|zᵉ < 0) for Different Horizons\n",
    "\n",
    "The `Distributions.jl` package has methods fot trunctated distributions. We calculate $\\mathrm{E}(z^e|z^e<0)$ for horizon $q$ by using\n",
    "\n",
    "```\n",
    "mean(truncated(Normal(q*μᵉ,sqrt(q)*σ);upper=0)\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\" />"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "CondER = [mean(truncated(Normal(q*μᵉ,sqrt(q)*σ);upper=0)) for q in qM]\n",
    "\n",
    "txt = L\"\\mathrm{E}(z^e|z^e<0)\"\n",
    "p1 = plot( qM,CondER,\n",
    "           linecolor = :black,\n",
    "           linewidth = 2,\n",
    "           legend = false,\n",
    "           title = \"Conditional expectation of excess return\",\n",
    "           xlabel = \"Investment horizon (years)\",\n",
    "           ylabel = \"%\",\n",
    "           annotation = (7,-14,text(txt,10,:left)) )\n",
    "display(p1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Mean-Variance Portfolio Choice\n",
    "\n",
    "This section runs the time series model presented in the lecture notes. It therefore more code than usual\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "include(\"src/Var1IR.jl\");   #impulse response of VAR(1), Cov(x) from MA(q)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "xzModel3Cov"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\"\"\"\n",
    "    xzModel3(ϕ,θ,T)\n",
    "\"\"\"\n",
    "function xzModel3(ϕ,θ,T)\n",
    "  A = [0 1;\n",
    "       0 ϕ]\n",
    "  B = [1 0;\n",
    "       θ 1]\n",
    "  C = VAR1IR(A,T,B)\n",
    "  r = C[1,:,:]'\n",
    "  z = C[2,:,:]'\n",
    "  return r, z\n",
    "end\n",
    "\n",
    "\"\"\"\n",
    "    xzModel3Cov(ϕ,θ,σᵤ,σ_eta,q)\n",
    "\n",
    "Calculate conditional variance-covariance matrix of q future\n",
    "returns (r_1,r_2,...,r_q) by first finding the MA representation\n",
    "and then apply MACov.\n",
    "\"\"\"\n",
    "function xzModel3Cov(ϕ,θ,σᵤ,σ_eta,q)\n",
    "\n",
    "  (r_IR,z_IR) = xzModel3(ϕ,θ,q+10)\n",
    "  r_IR .*= [σᵤ σ_eta]\n",
    "  z_IR .*= [σᵤ σ_eta]\n",
    "\n",
    "  k = 2                                       #no. variables\n",
    "  C = fill(NaN,q,k,q)\n",
    "  for t in 1:q\n",
    "    r_t = vcat(zeros(q-t,k),r_IR[1:t,:])      #t=1: [zeros(9,2);[1 0]]\n",
    "    C[t,:,:] = r_t'                           #t=2: [zeros(8,2);[-0.5 1];[1 0]]\n",
    "  end\n",
    "\n",
    "  CovM = MACov(C,1.0I(k))\n",
    "\n",
    "  return CovM, r_IR, C\n",
    "\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\" />"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "(ϕ,σᵤ,σ_eta,T) = (0.25,0.05,0.02,12)\n",
    "\n",
    "(r_0,z_0) = xzModel3(0,0,T)\n",
    "(r_m,z_m) = xzModel3(ϕ,-0.5,T)\n",
    "(r_p,z_p) = xzModel3(ϕ,0.5,T)\n",
    "\n",
    "p1 = plot( 1:T,cumsum([r_0[:,1] r_m[:,1] r_p[:,1]],dims=1),\n",
    "           xlims = (0,T),\n",
    "           linestyle = [:solid :dot :dash],\n",
    "           linecolor = [:black :red :blue],\n",
    "           linewidth = 2,\n",
    "           label = [\"iid\" \"negative autocorr\" \"positive autocorr\"],\n",
    "           legend = (0.7,0.8),\n",
    "           title = L\"Cumuative effect of $u_1$ on returns\",\n",
    "           xlabel = \"time period\" )\n",
    "display(p1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    25.000    25.000    25.000\n",
      "    50.000    35.250    85.250\n",
      "    75.000    45.016   157.516\n",
      "   100.000    54.860   232.985\n",
      "   125.000    64.737   309.269\n",
      "   150.000    74.623   385.756\n",
      "   175.000    84.511   462.295\n",
      "   200.000    94.400   538.846\n",
      "   225.000   104.289   615.400\n",
      "   250.000   114.178   691.956\n",
      "   275.000   124.067   768.511\n",
      "   300.000   133.956   845.067\n",
      "\n"
     ]
    }
   ],
   "source": [
    "qM = 1:T\n",
    "\n",
    "Var_q = fill(NaN,T,3)\n",
    "for q in qM\n",
    "  local CovM_m, CovM_0, CovM_p\n",
    "  CovM_0, = xzModel3Cov(ϕ,0,σᵤ,0,q)                    #iid\n",
    "  CovM_m, = xzModel3Cov(ϕ,-0.5,σᵤ,σ_eta,q)             #reversal\n",
    "  CovM_p, = xzModel3Cov(ϕ,0.5,σᵤ,σ_eta,q)              #momentum\n",
    "  Var_q[q,:] = [sum(CovM_0) sum(CovM_m) sum(CovM_p)]   #var(r₁+r₂+...+r_q)\n",
    "end\n",
    "printmat(Var_q*10_000);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\" />"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "p1 = plot( qM,Var_q*10_000,\n",
    "           xlims = (0,T),\n",
    "           linestyle = [:solid :dot :dash],\n",
    "           linecolor = [:black :red :blue],\n",
    "           linewidth = 2,\n",
    "           title = \"variance of cumulated log returns\",\n",
    "           label = [\"iid\" \"negative autocorr\" \"positive autocorr\"],\n",
    "           xlabel = L\"investment horizon, $q$\" )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "vWeight"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\"\"\"\n",
    "    vWeight(μᵉ,σ²,k)\n",
    "\n",
    "Optimal portfolio weight on the risky asset, so (1-v) is in the risk-free asset\n",
    "\n",
    "\"\"\"\n",
    "vWeight(μᵉ,σ²,k) = μᵉ/((1+k)*σ²) + 1/(2*(1+k))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\" />"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(μᵉ,k) = (0.8/100,5)\n",
    "v_q = vWeight.(μᵉ.*qM,Var_q,k)\n",
    "\n",
    "p1 = plot( qM,v_q,\n",
    "           xlims = (0,T),\n",
    "           linestyle = [:solid :dot :dash],\n",
    "           linecolor = [:black :red :blue],\n",
    "           linewidth = 2,\n",
    "           title = \"portfolio weight on risky asset\",\n",
    "           label = [\"iid\" \"negative autocorr\" \"positive autocorr\"],\n",
    "           xlabel = L\"investment horizon, $q$\" )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "@webio": {
   "lastCommId": null,
   "lastKernelId": null
  },
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Julia 1.11.3",
   "language": "julia",
   "name": "julia-1.11"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.11.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}