Ch05_PortfolioChoice2.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Portfolio Choice 2\n",
    "\n",
    "This notebook solves a portfolio optimization problem with several risky assets. The objective function of the investor trades off the portfolio expected return and variance. There are no restrictions on the portfolio weights, except that they must sum to 1 (across all assets, risky and riskfree)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Load Packages and Extra Functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "using Printf, LinearAlgebra\n",
    "\n",
    "include(\"src/printmat.jl\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "using Plots\n",
    "default(size = (480,320),fmt = :png)   #or :svg"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# From Chapter on Mean-Variance Analysis\n",
    "\n",
    "The file included below contains functions from the chapter on MV analysis, in particular, ` MVTangencyP()` which calculates the tangency portfolio,\n",
    "`MVCalc()` which calculates the MV frontier from risky assets, and `MVCalcRf()` which does the same but from both risky assets and a riskfree asset. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "include(\"src/MvCalculations.jl\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Optimal Portfolio Choice"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "An investor who maximizes\n",
    "\n",
    "$\\text{E}R_{p}-\\frac{k}{2} \\text{Var}(R_{p})$,\n",
    "\n",
    "subject to \n",
    "\n",
    "$R_{p} = v'R^e + R_f$\n",
    "\n",
    "will pick the portfolio weights (on the risky assets)\n",
    "\n",
    "$v  =\\frac{1}{k}\\Sigma^{-1}\\mu^{e}$\n",
    "\n",
    "The portfolio weight on the riskfree asset is $1-\\mathbf{1}'v$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "OptimalPortfolio"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\"\"\"\n",
    "Calculate optimal portfolio weights\n",
    "\"\"\"\n",
    "function OptimalPortfolio(μ,Σ,Rf,k)\n",
    "    μᵉ    = μ .- Rf             #expected excess returns\n",
    "    v     = inv(Σ) * μᵉ/k       #optimal weights risky assets, 1-sum(v) in riskfree\n",
    "    ERp   = v'μ + (1-sum(v))*Rf #expected return and std of optimal portfolio\n",
    "    StdRp = sqrt(v'Σ*v)\n",
    "    return v,ERp,StdRp\n",
    "end"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## An Example with 2 Risky Assets and a Riskfree Asset\n",
    "\n",
    "We first solve an example with 2 risky assets and a riskfree asset. In this case, we can plot how the objective function depends on the portfolio weights."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "μₐ  = [8.5, 6.5]/100             #means, μₐ to indicate that this is case a\n",
    "Σₐ  = [166  34;                  #covariance matrix\n",
    "        34  64]/100^2\n",
    "Rfₐ = 3/100;                     #riskfree rate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "k = 9\n",
    "\n",
    "(n₁,n₂)  = (21,23)\n",
    "v₁_range = range(-0.5,1.5,length=n₁)    #portfolio weights asset 1\n",
    "v₂_range = range(-0.5,1.5,length=n₂)    # \"\"                     2\n",
    "\n",
    "Util = fill(NaN,n₁,n₂)\n",
    "for i in 1:n₁, j in 1:n₂       #loop across portfolio weights\n",
    "    #local v                   #local/global is needed in script\n",
    "    v         = [v₁_range[i];v₂_range[j]]\n",
    "    Util[i,j] = v'μₐ + (1-sum(v))*Rfₐ - (k/2)*v'Σₐ*v\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\" />"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p1 = contour( v₁_range,v₂_range,Util',         #notice the transpose\n",
    "              xlims = (-0.5,1.5),\n",
    "              ylims = (-0.5,1.5),\n",
    "              legend = false,\n",
    "              levels = 31,\n",
    "              title = \"Contour plot of ERₚ - (k/2)Var(Rₚ)\",\n",
    "              xlabel = \"v₁\",\n",
    "              ylabel = \"v₂\")\n",
    "scatter!([0.273],[0.462])\n",
    "display(p1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The next cell calls on `OptimalPortfolio()` to calculate the optimal weights - and also compares with the tangency portfolio."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001b[34m\u001b[1moptimal portfolio weights on risky assets and riskfree when k = 9:\u001b[22m\u001b[39m\n",
      "Asset 1      0.273\n",
      "Asset 2      0.462\n",
      "Riskfree     0.264\n",
      "\n",
      "\u001b[34m\u001b[1moptimal weights/tangency portfolio:\u001b[22m\u001b[39m\n",
      "        vOpt/wTangency\n",
      "Asset 1      0.736\n",
      "Asset 2      0.736\n",
      "\n",
      "\u001b[35m\u001b[1m...the optimal portfolio is proportional to the tangency portfolio\u001b[22m\u001b[39m\n"
     ]
    }
   ],
   "source": [
    "vOpt, = OptimalPortfolio(μₐ,Σₐ,Rfₐ,k)         #find optimal portfolio\n",
    "\n",
    "printblue(\"optimal portfolio weights on risky assets and riskfree when k = $k:\")\n",
    "assetNames = [\"Asset 1\",\"Asset 2\",\"Riskfree\"]\n",
    "printmat([vOpt;(1-sum(vOpt))];rowNames=assetNames)\n",
    "\n",
    "wT, = MVTangencyP(μₐ,Σₐ,Rfₐ)                #calculate the tangency portfolio and compare with vOpt\n",
    "\n",
    "printblue(\"optimal weights/tangency portfolio:\")\n",
    "printmat(vOpt./wT;colNames=[\"vOpt/wTangency\"],rowNames=assetNames)\n",
    "\n",
    "printmagenta(\"...the optimal portfolio is proportional to the tangency portfolio\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## An Example with 3 Risky Assets  (and a Riskfree)\n",
    "\n",
    "We now apply the same approach on more assets - and compare the optimal portfolios for different investors (with different risk aversions).\n",
    "\n",
    "We then show that the optimal portfolios are on the mean-variance frontier."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "μ = [11.5, 9.5, 6]/100\n",
    "Σ = [166  34  58;\n",
    "      34  64   4;\n",
    "      58   4 100]/100^2\n",
    "Rf = 0.03;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001b[34m\u001b[1moptimal portfolio weights:\u001b[22m\u001b[39m\n",
      "        D (high k) E (low k)\n",
      "Asset A      0.110     0.350\n",
      "Asset B      0.302     0.962\n",
      "Asset C      0.031     0.099\n",
      "Riskfree     0.556    -0.411\n",
      "\n",
      "\u001b[34m\u001b[1moptimal weights/tangency portfolio:\u001b[22m\u001b[39m\n",
      "        D (high k) E (low k)\n",
      "Asset A      0.444     1.411\n",
      "Asset B      0.444     1.411\n",
      "Asset C      0.444     1.411\n",
      "\n"
     ]
    }
   ],
   "source": [
    "(vD,muD,StdD) = OptimalPortfolio(μ,Σ,Rf,28)        #high risk aversion\n",
    "(vE,muE,StdE) = OptimalPortfolio(μ,Σ,Rf,8.8)       #low risk aversion\n",
    "\n",
    "(wT,muT,StdT) = MVTangencyP(μ,Σ,Rf)                #tangency portfolio\n",
    "\n",
    "assetNames = [\"Asset A\",\"Asset B\",\"Asset C\",\"Riskfree\"]\n",
    "\n",
    "printblue(\"optimal portfolio weights:\")\n",
    "printmat([vD;(1-sum(vD))],[vE;(1-sum(vE))];colNames=[\"D (high k)\",\"E (low k)\"],rowNames=assetNames)\n",
    "\n",
    "printblue(\"optimal weights/tangency portfolio:\")\n",
    "printmat(vD./wT,vE./wT;colNames=[\"D (high k)\",\"E (low k)\"],rowNames=assetNames)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "L = 101\n",
    "μstar_range = range(Rf,0.15,length=L)\n",
    "\n",
    "StdRₚ = fill(NaN,L,2)                 #loop over required average returns (μstar)\n",
    "for i in 1:L\n",
    "    StdRₚ[i,1] = MVCalc(  μstar_range[i],μ,Σ)[1]         #risky only\n",
    "    StdRₚ[i,2] = MVCalcRf(μstar_range[i],μ,Σ,Rf)[1]      #risky and riskfree\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\" />"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p1 = plot( StdRₚ*100,μstar_range*100,\n",
    "           label = \"\",\n",
    "           linecolor = [:red :blue],\n",
    "           xlim = (0,15),\n",
    "           ylim = (0,15),\n",
    "           title = \"Mean vs standard deviation\",\n",
    "           xlabel = \"Std(Rₚ), %\",\n",
    "           ylabel = \"ERₚ, %\" )\n",
    "scatter!(sqrt.(diag(Σ))*100,μ*100,color=:red,label=\"\")\n",
    "scatter!([StdD,StdE]*100,[muD,muE]*100,color=:black,marker=:star,label=\"optimal\")\n",
    "scatter!([StdT]*100,[muT]*100,color=:blue,marker=:utriangle,label=\"tangency\",legend=:topleft)\n",
    "display(p1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Interpreting the First Order Conditions (extra)\n",
    "\n",
    "The first order conditions for optimal portfolio choice are \n",
    "\n",
    "$\n",
    "\\mu^e = k \\Sigma v\n",
    "$\n",
    "\n",
    "Notice that $\\Sigma v$ is a vector of covariances of each asset with the portfolio $v$.\n",
    "\n",
    "The next cell shows what happens to the first order condition at/off the optimal choice of $v$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001b[34m\u001b[1mChecking the first order conditions at optimal v:\u001b[22m\u001b[39m\n",
      "                v        μᵉ       kΣv\n",
      "Asset 1     0.273     0.055     0.055\n",
      "Asset 2     0.462     0.035     0.035\n",
      "\n",
      "\u001b[34m\u001b[1mChecking the first order conditions at another v (lower v₁, same v₂):\u001b[22m\u001b[39m\n",
      "                v        μᵉ       kΣv\n",
      "Asset 1     0.100     0.055     0.029\n",
      "Asset 2     0.462     0.035     0.030\n",
      "\n",
      "\u001b[35m\u001b[1mthe difference between μᵉ and kΣv suggests that we should increase v₁\u001b[22m\u001b[39m\n"
     ]
    }
   ],
   "source": [
    "v, = OptimalPortfolio(μₐ,Σₐ,Rf,k)         #find optimal portfolio\n",
    "\n",
    "printblue(\"Checking the first order conditions at optimal v:\")\n",
    "printmat(v,μₐ.-Rfₐ,k*Σₐ*v;colNames=[\"v\",\"μᵉ\",\"kΣv\"],rowNames=[\"Asset 1\",\"Asset 2\"])\n",
    "\n",
    "v   = [0.10,vOpt[2]]            #lower v₁, same v₂\n",
    "\n",
    "printblue(\"Checking the first order conditions at another v (lower v₁, same v₂):\")\n",
    "printmat(v,μₐ.-Rfₐ,k*Σₐ*v;colNames=[\"v\",\"μᵉ\",\"kΣv\"],rowNames=[\"Asset 1\",\"Asset 2\"])\n",
    "\n",
    "printmagenta(\"the difference between μᵉ and kΣv suggests that we should increase v₁\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Maximising the Sharpe Ratio (extra)\n",
    "\n",
    "The cells below defines the Sharpe ratio of a portfolio. To normalise the portfolio, the weights on the $n$ risky assets a forced to sum to one (by setting the weight on asset $n$ to be $1-\\sum_{i=1}^{n-1}w_{i}$). The optimization is over the $n-1$ first weights. (The need for a normalisation stems from the fact that any portfolio on the CML is a solution - and that they are all scalings of each other.)\n",
    "\n",
    "The [Optim.jl](https://github.com/JuliaNLSolvers/Optim.jl) package is used for the optimisation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "using Optim"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "SRFn"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\"\"\"\n",
    "    SRFn(w,μ,Σ,Rf)\n",
    "\n",
    "Calculate the Sharpe ratio of a portfolio based on the portfolio weights `v=[w;1-sum(w)]`, the vector of\n",
    "expected asset returns `μ`, their covariance matrix `Σ` and the riskfree rate `Rf`.\n",
    "\"\"\"\n",
    "function SRFn(w,μ,Σ,Rf)\n",
    "    v     = [w;1-sum(w)]   #last asset has the weight 1-sum(w): this makes sum(v)=1\n",
    "    ERp   = v'μ\n",
    "    StdRp = sqrt(v'Σ*v)\n",
    "    SRp   = (ERp-Rf)/StdRp\n",
    "    return SRp\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001b[34m\u001b[1mPortfolio of risky assets that maximizes the Sharpe ratio:\u001b[22m\u001b[39m\n",
      "          tangency   optimal\n",
      "Asset A      0.248     0.248\n",
      "Asset B      0.682     0.682\n",
      "Asset C      0.070     0.070\n",
      "\n"
     ]
    }
   ],
   "source": [
    "Sol = optimize(w -> -SRFn(w,μ,Σ,Rf),zeros(2))  #maximise SR -> minimize -SR\n",
    "\n",
    "v = Optim.minimizer(Sol)\n",
    "v = [v;1-sum(v)]\n",
    "\n",
    "printblue(\"Portfolio of risky assets that maximizes the Sharpe ratio:\")\n",
    "printmat([wT v];colNames=[\"tangency\",\"optimal\"],rowNames=assetNames)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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