Aula_02_Ciências_de_Dados_Finanças_Parte_2.ipynb

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  "metadata": {
    "colab": {
      "name": "Aula 02 - Ciências de Dados - Finanças - Parte 2.ipynb",
      "provenance": [],
      "collapsed_sections": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "source": [
        "# **Turma de Pós-Graduação de Ciência de Dados**\n",
        "\n",
        "**Disciplina: Aplicações de Finanças**\n",
        "\n",
        "**prof: Sérgio Assunção Monteiro, DSc**\n",
        "\n",
        "**Conditional Value at Risk (CVaR)**"
      ],
      "metadata": {
        "id": "KiNQCTZVJBEk"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# **Critérios de Risco Coerente**\n",
        "\n",
        "> 1.\tSubaditividade: R(X + Y) < R(X) + R(Y). \n",
        "Ou seja, se adicionarmos dois portfólios, o risco total não pode ficar pior do que adicionar os dois riscos separadamente. \n",
        "\n",
        "> 2.\tMonotonicidade: Se X ≤ Y para todos os cenários, então R(X) ≥ R(Y). \n",
        "Se um portfólio tiver valores melhores do que outro em todos os cenários, seu risco será melhor.\n",
        "\n",
        "> 3.\tHomogeneidade positiva: Para todo λ > 0, R(λX) = λR(X). \n",
        "Ou seja, quando aumentamos o tamanho de posição de uma carteira, o risco aumenta proporcionalmente.\n",
        "\n",
        "> 4.\tInvariância por translação: Para toda constante c, R(X + c) = R(X) — c. \n",
        "Exemplo: caso, simplesmente, adicionemos dinheiro a um portfólio, ele não conta na medida de risco.\n"
      ],
      "metadata": {
        "id": "SxolLgv3ybYv"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# **Retorno**"
      ],
      "metadata": {
        "id": "XNI0m_4LsNoY"
      }
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "kB9m5uweIQLH"
      },
      "outputs": [],
      "source": [
        "import pandas as pd\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from scipy.stats import norm"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "n = 100\n",
        "df = pd.DataFrame(dict(data=pd.date_range(\"2020-1-1\", \n",
        "                                           periods=n),\n",
        "                       valor=np.abs(np.random.normal(100, 5, n))))"
      ],
      "metadata": {
        "id": "MoBX-pdUZB57"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "with pd.option_context('display.max_rows',10):\n",
        "  print(df)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "V5A3SoTPZgpp",
        "outputId": "20cbe751-8448-4c9f-e006-beed56628767"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "         data       valor\n",
            "0  2020-01-01   98.246705\n",
            "1  2020-01-02   92.354442\n",
            "2  2020-01-03  101.700677\n",
            "3  2020-01-04   92.651598\n",
            "4  2020-01-05   95.653746\n",
            "..        ...         ...\n",
            "95 2020-04-05  105.623671\n",
            "96 2020-04-06   95.968860\n",
            "97 2020-04-07  107.640634\n",
            "98 2020-04-08   93.470016\n",
            "99 2020-04-09  103.939902\n",
            "\n",
            "[100 rows x 2 columns]\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
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      ],
      "metadata": {
        "id": "_YrmrazWeod7"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "retorno = (df['valor']/ df['valor'].shift(1)) -1\n",
        "#Drop all Not a number values using drop method.\n",
        "retorno.dropna(inplace = True)"
      ],
      "metadata": {
        "id": "gjiqE5v8a0kg"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "with pd.option_context('display.max_rows',10):\n",
        "  print(retorno)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "ZUWhfzWPbYJX",
        "outputId": "6e66d732-b0aa-48dd-e489-7207cb67c728"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "1    -0.059974\n",
            "2     0.101200\n",
            "3    -0.088978\n",
            "4     0.032403\n",
            "5     0.057644\n",
            "        ...   \n",
            "95    0.065753\n",
            "96   -0.091408\n",
            "97    0.121620\n",
            "98   -0.131647\n",
            "99    0.112013\n",
            "Name: valor, Length: 99, dtype: float64\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "retorno.describe()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "5eOq0uodg_8_",
        "outputId": "66bc85fd-7987-4d3b-fbae-3a6fcb71c9b3"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "count    99.000000\n",
              "mean      0.003262\n",
              "std       0.073984\n",
              "min      -0.145095\n",
              "25%      -0.055504\n",
              "50%       0.005366\n",
              "75%       0.045647\n",
              "max       0.176169\n",
              "Name: valor, dtype: float64"
            ]
          },
          "metadata": {},
          "execution_count": 44
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "retorno.plot(title=\"retorno\",xlabel=\"Data\", ylabel=\"Percentual\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 313
        },
        "id": "m20IcEQwfYjK",
        "outputId": "43a7d958-adc6-46af-c931-be6049f64c61"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.axes._subplots.AxesSubplot at 0x7f164d329190>"
            ]
          },
          "metadata": {},
          "execution_count": 45
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "from matplotlib.ticker import PercentFormatter\n",
        "fig = plt.figure()\n",
        "plt.title('Histograma dos Retornos')\n",
        "plt.xlabel('Retorno (%)')\n",
        "plt.ylabel('Frequência')\n",
        "ax = fig.add_subplot(111)\n",
        "ax.hist(retorno,bins=20,density=False,rwidth=0.9,color='#607c8e');\n",
        "ax.yaxis.set_major_formatter(PercentFormatter(xmax=100))\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 350
        },
        "id": "XcYjvSo8j_Pj",
        "outputId": "8cc291f3-6664-4591-d7af-d2da183f8de7"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:6: MatplotlibDeprecationWarning: Adding an axes using the same arguments as a previous axes currently reuses the earlier instance.  In a future version, a new instance will always be created and returned.  Meanwhile, this warning can be suppressed, and the future behavior ensured, by passing a unique label to each axes instance.\n",
            "  \n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# **Value at Risk (Var)**"
      ],
      "metadata": {
        "id": "lEwix1tfsTi-"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "**O Valor no Risco** - Value at Risk (VaR) é um limite\n",
        "com um determinado nível de confiança de que as perdas\n",
        "não vão exceder um certo nível histórico.\n",
        "\n",
        "**O VaR** é comumente citado com quantis como 95, 99 e 99,9.\n",
        "\n",
        "**Exemplo:**\n",
        "VaR(95) = -2,3% que significa que: \n",
        "\"95% de certeza de que as perdas não excederão -2,3% em um determinado\n",
        "dia com base no histórico de valores\"."
      ],
      "metadata": {
        "id": "vnu_FEoHhqx-"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "media = np.mean(retorno)\n",
        "desvio_padrao = np.std(retorno)\n",
        "nivel_de_confianca = 0.05\n",
        "VaR = norm.ppf(nivel_de_confianca, media, desvio_padrao)\n",
        "VaR"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "nsxkp8OmZFWp",
        "outputId": "a5e39e05-0810-482d-98b0-c2a75e52bfbe"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "-0.11781584291923362"
            ]
          },
          "metadata": {},
          "execution_count": 47
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "nivel_do_var = 95\n",
        "var_95 = np.percentile(retorno, 100 - nivel_do_var)\n",
        "print('O VaR({}) é de: {}%'.format(nivel_do_var,100*var_95))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Tu3l4t9irZzt",
        "outputId": "59530c91-7a3c-4d26-e130-4da6f2cabd10"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "O VaR(95) é de: -11.119954660654836%\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# **Conditional Value at Risk (CVar)**"
      ],
      "metadata": {
        "id": "h1VShBEUscdQ"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "**O Valor condicional em risco** - Conditional Value at Risk - é uma estimativa de perdas esperadas condicionada no pior (1 - x)% de cenários.\n",
        "\n",
        "**CVaR** é comumente citado com quantis como 95, 99 e 99,9.\n",
        "\n",
        "**Exemplo:** CVaR(95) = -2,5% significa que: \"Nos piores 5% dos casos, as perdas, em média, excedem -2,5% dos valores históricos."
      ],
      "metadata": {
        "id": "3T-Xacilsy_F"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "nivel_do_var = 95\n",
        "var_95 = np.percentile(retorno, 100 - nivel_do_var)\n",
        "cvar_95 = retorno[retorno <= var_95].mean()\n",
        "print('O CVaR({}) é de: {}%'.format(nivel_do_var,100*cvar_95))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "ltPBL0OguAUM",
        "outputId": "7559a49a-3d4c-4fea-bd95-f7ff443d8c67"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "O CVaR(95) é de: -13.904584045260682%\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# **CVar para otimização de portfólio**"
      ],
      "metadata": {
        "id": "tPHJ-6JS8I_N"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        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)"
      ],
      "metadata": {
        "id": "XSEFO6nUCdSs"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "from scipy.optimize import linprog\n",
        "from numpy.linalg import solve"
      ],
      "metadata": {
        "id": "kobtPZfF8f2t"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "def resolverPL(c, A_eq, b_eq, A_ub, b_ub):\n",
        "    res = linprog(c, A_eq=A_eq, b_eq=b_eq, A_ub=A_ub, b_ub=b_ub,\n",
        "                  bounds=(0, None))\n",
        "    return res"
      ],
      "metadata": {
        "id": "IdIc0EdZ8oL1"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        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      ],
      "metadata": {
        "id": "FRaqoSCFGLvO"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "def exemplo():\n",
        "    A_ub = np.array([[-1.5, 0, -1, 0, -1, 1],\n",
        "                     [0, -1.3, 0, -1, -1, 1]])\n",
        "    b_ub = np.array([0, 0])\n",
        "    A_eq = np.array([[1, 1, 0, 0, 0, 0]])\n",
        "    b_eq = np.array([1])\n",
        "    c = np.array([0, 0, 10, 10, 1, -1])\n",
        "    return c, A_eq, b_eq, A_ub, b_ub"
      ],
      "metadata": {
        "id": "D4GHH5dE8t2O"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "[c, A_eq, b_eq, A_ub, b_ub]=exemplo();\n",
        "resultado=resolverPL(c, A_eq, b_eq, A_ub, b_ub); #resolver PL\n",
        "print('-----------------------------------------------------')\n",
        "print(\"Os valores de x são:\");\n",
        "print('Percentual do investimento no ativo 1: {0:.4g}%'.format(100*resultado.x[0]))\n",
        "print('Percentual do investimento no ativo 2: {0:.4g}%'.format(100*resultado.x[1]))\n",
        "print('O VaR do portifólio é: {0:.4g}%'.format(100*(resultado.x[4]-resultado.x[5])))\n",
        "print('-----------------------------------------------------')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "i1GIZm2I8yK9",
        "outputId": "b358ad31-56e2-4d54-99e6-d4d2229ed890"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "-----------------------------------------------------\n",
            "Os valores de x são:\n",
            "Percentual do investimento no ativo 1: 46.43%\n",
            "Percentual do investimento no ativo 2: 53.57%\n",
            "O VaR do portifólio é: -69.64%\n",
            "-----------------------------------------------------\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "/usr/local/lib/python3.7/dist-packages/numpy/core/fromnumeric.py:87: VisibleDeprecationWarning: Creating an ndarray from ragged nested sequences (which is a list-or-tuple of lists-or-tuples-or ndarrays with different lengths or shapes) is deprecated. If you meant to do this, you must specify 'dtype=object' when creating the ndarray\n",
            "  return ufunc.reduce(obj, axis, dtype, out, **passkwargs)\n"
          ]
        }
      ]
    }
  ]
}