{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "code",
      "source": [
        "import yfinance\n",
        "\n",
        "stocks = ['ARM', 'META', 'SPY', 'TSLA']\n",
        "\n",
        "data = yfinance.download(stocks,\n",
        "                         '2024-04-01',\n",
        "                         '2024-05-09')['Close']"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "mfJAaMYDQPfy",
        "outputId": "ae6d7974-6068-40fa-ed90-c2c6dbc9cec0"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "[*********************100%%**********************]  4 of 4 completed\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "data.head()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 238
        },
        "id": "nNuUrUiIQqRA",
        "outputId": "92863eca-deef-4765-ca5b-74ddf230f3ef"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Ticker             ARM        META         SPY        TSLA\n",
              "Date                                                      \n",
              "2024-04-01  126.910004  491.350006  522.159973  175.220001\n",
              "2024-04-02  124.279999  497.369995  518.840027  166.630005\n",
              "2024-04-03  125.309998  506.739990  519.409973  168.380005\n",
              "2024-04-04  122.010002  510.920013  513.070007  171.110001\n",
              "2024-04-05  124.820000  527.340027  518.429993  164.899994"
            ],
            "text/html": [
              "\n",
              "  <div id=\"df-0e5eb836-574f-4203-bb84-939eec9bd41e\" class=\"colab-df-container\">\n",
              "    <div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th>Ticker</th>\n",
              "      <th>ARM</th>\n",
              "      <th>META</th>\n",
              "      <th>SPY</th>\n",
              "      <th>TSLA</th>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Date</th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>2024-04-01</th>\n",
              "      <td>126.910004</td>\n",
              "      <td>491.350006</td>\n",
              "      <td>522.159973</td>\n",
              "      <td>175.220001</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2024-04-02</th>\n",
              "      <td>124.279999</td>\n",
              "      <td>497.369995</td>\n",
              "      <td>518.840027</td>\n",
              "      <td>166.630005</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2024-04-03</th>\n",
              "      <td>125.309998</td>\n",
              "      <td>506.739990</td>\n",
              "      <td>519.409973</td>\n",
              "      <td>168.380005</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2024-04-04</th>\n",
              "      <td>122.010002</td>\n",
              "      <td>510.920013</td>\n",
              "      <td>513.070007</td>\n",
              "      <td>171.110001</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2024-04-05</th>\n",
              "      <td>124.820000</td>\n",
              "      <td>527.340027</td>\n",
              "      <td>518.429993</td>\n",
              "      <td>164.899994</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>\n",
              "    <div class=\"colab-df-buttons\">\n",
              "\n",
              "  <div class=\"colab-df-container\">\n",
              "    <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-0e5eb836-574f-4203-bb84-939eec9bd41e')\"\n",
              "            title=\"Convert this dataframe to an interactive table.\"\n",
              "            style=\"display:none;\">\n",
              "\n",
              "  <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\" viewBox=\"0 -960 960 960\">\n",
              "    <path d=\"M120-120v-720h720v720H120Zm60-500h600v-160H180v160Zm220 220h160v-160H400v160Zm0 220h160v-160H400v160ZM180-400h160v-160H180v160Zm440 0h160v-160H620v160ZM180-180h160v-160H180v160Zm440 0h160v-160H620v160Z\"/>\n",
              "  </svg>\n",
              "    </button>\n",
              "\n",
              "  <style>\n",
              "    .colab-df-container {\n",
              "      display:flex;\n",
              "      gap: 12px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert {\n",
              "      background-color: #E8F0FE;\n",
              "      border: none;\n",
              "      border-radius: 50%;\n",
              "      cursor: pointer;\n",
              "      display: none;\n",
              "      fill: #1967D2;\n",
              "      height: 32px;\n",
              "      padding: 0 0 0 0;\n",
              "      width: 32px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert:hover {\n",
              "      background-color: #E2EBFA;\n",
              "      box-shadow: 0px 1px 2px rgba(60, 64, 67, 0.3), 0px 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
              "      fill: #174EA6;\n",
              "    }\n",
              "\n",
              "    .colab-df-buttons div {\n",
              "      margin-bottom: 4px;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert {\n",
              "      background-color: #3B4455;\n",
              "      fill: #D2E3FC;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert:hover {\n",
              "      background-color: #434B5C;\n",
              "      box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n",
              "      filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));\n",
              "      fill: #FFFFFF;\n",
              "    }\n",
              "  </style>\n",
              "\n",
              "    <script>\n",
              "      const buttonEl =\n",
              "        document.querySelector('#df-0e5eb836-574f-4203-bb84-939eec9bd41e button.colab-df-convert');\n",
              "      buttonEl.style.display =\n",
              "        google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "\n",
              "      async function convertToInteractive(key) {\n",
              "        const element = document.querySelector('#df-0e5eb836-574f-4203-bb84-939eec9bd41e');\n",
              "        const dataTable =\n",
              "          await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                    [key], {});\n",
              "        if (!dataTable) return;\n",
              "\n",
              "        const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "          '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
              "          + ' to learn more about interactive tables.';\n",
              "        element.innerHTML = '';\n",
              "        dataTable['output_type'] = 'display_data';\n",
              "        await google.colab.output.renderOutput(dataTable, element);\n",
              "        const docLink = document.createElement('div');\n",
              "        docLink.innerHTML = docLinkHtml;\n",
              "        element.appendChild(docLink);\n",
              "      }\n",
              "    </script>\n",
              "  </div>\n",
              "\n",
              "\n",
              "<div id=\"df-2a98e692-2e15-4bf2-b320-373fa67edeb6\">\n",
              "  <button class=\"colab-df-quickchart\" onclick=\"quickchart('df-2a98e692-2e15-4bf2-b320-373fa67edeb6')\"\n",
              "            title=\"Suggest charts\"\n",
              "            style=\"display:none;\">\n",
              "\n",
              "<svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\"viewBox=\"0 0 24 24\"\n",
              "     width=\"24px\">\n",
              "    <g>\n",
              "        <path d=\"M19 3H5c-1.1 0-2 .9-2 2v14c0 1.1.9 2 2 2h14c1.1 0 2-.9 2-2V5c0-1.1-.9-2-2-2zM9 17H7v-7h2v7zm4 0h-2V7h2v10zm4 0h-2v-4h2v4z\"/>\n",
              "    </g>\n",
              "</svg>\n",
              "  </button>\n",
              "\n",
              "<style>\n",
              "  .colab-df-quickchart {\n",
              "      --bg-color: #E8F0FE;\n",
              "      --fill-color: #1967D2;\n",
              "      --hover-bg-color: #E2EBFA;\n",
              "      --hover-fill-color: #174EA6;\n",
              "      --disabled-fill-color: #AAA;\n",
              "      --disabled-bg-color: #DDD;\n",
              "  }\n",
              "\n",
              "  [theme=dark] .colab-df-quickchart {\n",
              "      --bg-color: #3B4455;\n",
              "      --fill-color: #D2E3FC;\n",
              "      --hover-bg-color: #434B5C;\n",
              "      --hover-fill-color: #FFFFFF;\n",
              "      --disabled-bg-color: #3B4455;\n",
              "      --disabled-fill-color: #666;\n",
              "  }\n",
              "\n",
              "  .colab-df-quickchart {\n",
              "    background-color: var(--bg-color);\n",
              "    border: none;\n",
              "    border-radius: 50%;\n",
              "    cursor: pointer;\n",
              "    display: none;\n",
              "    fill: var(--fill-color);\n",
              "    height: 32px;\n",
              "    padding: 0;\n",
              "    width: 32px;\n",
              "  }\n",
              "\n",
              "  .colab-df-quickchart:hover {\n",
              "    background-color: var(--hover-bg-color);\n",
              "    box-shadow: 0 1px 2px rgba(60, 64, 67, 0.3), 0 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
              "    fill: var(--button-hover-fill-color);\n",
              "  }\n",
              "\n",
              "  .colab-df-quickchart-complete:disabled,\n",
              "  .colab-df-quickchart-complete:disabled:hover {\n",
              "    background-color: var(--disabled-bg-color);\n",
              "    fill: var(--disabled-fill-color);\n",
              "    box-shadow: none;\n",
              "  }\n",
              "\n",
              "  .colab-df-spinner {\n",
              "    border: 2px solid var(--fill-color);\n",
              "    border-color: transparent;\n",
              "    border-bottom-color: var(--fill-color);\n",
              "    animation:\n",
              "      spin 1s steps(1) infinite;\n",
              "  }\n",
              "\n",
              "  @keyframes spin {\n",
              "    0% {\n",
              "      border-color: transparent;\n",
              "      border-bottom-color: var(--fill-color);\n",
              "      border-left-color: var(--fill-color);\n",
              "    }\n",
              "    20% {\n",
              "      border-color: transparent;\n",
              "      border-left-color: var(--fill-color);\n",
              "      border-top-color: var(--fill-color);\n",
              "    }\n",
              "    30% {\n",
              "      border-color: transparent;\n",
              "      border-left-color: var(--fill-color);\n",
              "      border-top-color: var(--fill-color);\n",
              "      border-right-color: var(--fill-color);\n",
              "    }\n",
              "    40% {\n",
              "      border-color: transparent;\n",
              "      border-right-color: var(--fill-color);\n",
              "      border-top-color: var(--fill-color);\n",
              "    }\n",
              "    60% {\n",
              "      border-color: transparent;\n",
              "      border-right-color: var(--fill-color);\n",
              "    }\n",
              "    80% {\n",
              "      border-color: transparent;\n",
              "      border-right-color: var(--fill-color);\n",
              "      border-bottom-color: var(--fill-color);\n",
              "    }\n",
              "    90% {\n",
              "      border-color: transparent;\n",
              "      border-bottom-color: var(--fill-color);\n",
              "    }\n",
              "  }\n",
              "</style>\n",
              "\n",
              "  <script>\n",
              "    async function quickchart(key) {\n",
              "      const quickchartButtonEl =\n",
              "        document.querySelector('#' + key + ' button');\n",
              "      quickchartButtonEl.disabled = true;  // To prevent multiple clicks.\n",
              "      quickchartButtonEl.classList.add('colab-df-spinner');\n",
              "      try {\n",
              "        const charts = await google.colab.kernel.invokeFunction(\n",
              "            'suggestCharts', [key], {});\n",
              "      } catch (error) {\n",
              "        console.error('Error during call to suggestCharts:', error);\n",
              "      }\n",
              "      quickchartButtonEl.classList.remove('colab-df-spinner');\n",
              "      quickchartButtonEl.classList.add('colab-df-quickchart-complete');\n",
              "    }\n",
              "    (() => {\n",
              "      let quickchartButtonEl =\n",
              "        document.querySelector('#df-2a98e692-2e15-4bf2-b320-373fa67edeb6 button');\n",
              "      quickchartButtonEl.style.display =\n",
              "        google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "    })();\n",
              "  </script>\n",
              "</div>\n",
              "\n",
              "    </div>\n",
              "  </div>\n"
            ],
            "application/vnd.google.colaboratory.intrinsic+json": {
              "type": "dataframe",
              "variable_name": "data",
              "summary": "{\n  \"name\": \"data\",\n  \"rows\": 28,\n  \"fields\": [\n    {\n      \"column\": \"Date\",\n      \"properties\": {\n        \"dtype\": \"date\",\n        \"min\": \"2024-04-01 00:00:00\",\n        \"max\": \"2024-05-08 00:00:00\",\n        \"num_unique_values\": 28,\n        \"samples\": [\n          \"2024-04-12 00:00:00\",\n          \"2024-05-06 00:00:00\",\n          \"2024-04-11 00:00:00\"\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"ARM\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": 13.427250841587558,\n        \"min\": 87.19000244140625,\n        \"max\": 131.1300048828125,\n        \"num_unique_values\": 28,\n        \"samples\": [\n          126.33000183105469,\n          106.9800033569336,\n          131.1300048828125\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"META\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": 30.431831533944457,\n        \"min\": 430.1700134277344,\n        \"max\": 527.3400268554688,\n        \"num_unique_values\": 28,\n        \"samples\": [\n          511.8999938964844,\n          465.67999267578125,\n          523.1599731445312\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"SPY\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": 7.822782121778119,\n        \"min\": 495.1600036621094,\n        \"max\": 522.1599731445312,\n        \"num_unique_values\": 28,\n        \"samples\": [\n          510.8500061035156,\n          516.5700073242188,\n          518.0\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"TSLA\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": 12.708960958084381,\n        \"min\": 142.0500030517578,\n        \"max\": 194.0500030517578,\n        \"num_unique_values\": 28,\n        \"samples\": [\n          171.0500030517578,\n          184.75999450683594,\n          174.60000610351562\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    }\n  ]\n}"
            }
          },
          "metadata": {},
          "execution_count": 2
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "returns = data.pct_change()\n",
        "returns.head()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 238
        },
        "id": "vwy0TbMoQxh-",
        "outputId": "f396857e-47c8-4cf6-e407-3f214bb02cd5"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Ticker           ARM      META       SPY      TSLA\n",
              "Date                                              \n",
              "2024-04-01       NaN       NaN       NaN       NaN\n",
              "2024-04-02 -0.020723  0.012252 -0.006358 -0.049024\n",
              "2024-04-03  0.008288  0.018839  0.001099  0.010502\n",
              "2024-04-04 -0.026335  0.008249 -0.012206  0.016213\n",
              "2024-04-05  0.023031  0.032138  0.010447 -0.036292"
            ],
            "text/html": [
              "\n",
              "  <div id=\"df-2de0aa29-47b8-4eb5-bb6e-2fd6b245c3c7\" class=\"colab-df-container\">\n",
              "    <div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th>Ticker</th>\n",
              "      <th>ARM</th>\n",
              "      <th>META</th>\n",
              "      <th>SPY</th>\n",
              "      <th>TSLA</th>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Date</th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>2024-04-01</th>\n",
              "      <td>NaN</td>\n",
              "      <td>NaN</td>\n",
              "      <td>NaN</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2024-04-02</th>\n",
              "      <td>-0.020723</td>\n",
              "      <td>0.012252</td>\n",
              "      <td>-0.006358</td>\n",
              "      <td>-0.049024</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2024-04-03</th>\n",
              "      <td>0.008288</td>\n",
              "      <td>0.018839</td>\n",
              "      <td>0.001099</td>\n",
              "      <td>0.010502</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2024-04-04</th>\n",
              "      <td>-0.026335</td>\n",
              "      <td>0.008249</td>\n",
              "      <td>-0.012206</td>\n",
              "      <td>0.016213</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2024-04-05</th>\n",
              "      <td>0.023031</td>\n",
              "      <td>0.032138</td>\n",
              "      <td>0.010447</td>\n",
              "      <td>-0.036292</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>\n",
              "    <div class=\"colab-df-buttons\">\n",
              "\n",
              "  <div class=\"colab-df-container\">\n",
              "    <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-2de0aa29-47b8-4eb5-bb6e-2fd6b245c3c7')\"\n",
              "            title=\"Convert this dataframe to an interactive table.\"\n",
              "            style=\"display:none;\">\n",
              "\n",
              "  <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\" viewBox=\"0 -960 960 960\">\n",
              "    <path d=\"M120-120v-720h720v720H120Zm60-500h600v-160H180v160Zm220 220h160v-160H400v160Zm0 220h160v-160H400v160ZM180-400h160v-160H180v160Zm440 0h160v-160H620v160ZM180-180h160v-160H180v160Zm440 0h160v-160H620v160Z\"/>\n",
              "  </svg>\n",
              "    </button>\n",
              "\n",
              "  <style>\n",
              "    .colab-df-container {\n",
              "      display:flex;\n",
              "      gap: 12px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert {\n",
              "      background-color: #E8F0FE;\n",
              "      border: none;\n",
              "      border-radius: 50%;\n",
              "      cursor: pointer;\n",
              "      display: none;\n",
              "      fill: #1967D2;\n",
              "      height: 32px;\n",
              "      padding: 0 0 0 0;\n",
              "      width: 32px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert:hover {\n",
              "      background-color: #E2EBFA;\n",
              "      box-shadow: 0px 1px 2px rgba(60, 64, 67, 0.3), 0px 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
              "      fill: #174EA6;\n",
              "    }\n",
              "\n",
              "    .colab-df-buttons div {\n",
              "      margin-bottom: 4px;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert {\n",
              "      background-color: #3B4455;\n",
              "      fill: #D2E3FC;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert:hover {\n",
              "      background-color: #434B5C;\n",
              "      box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n",
              "      filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));\n",
              "      fill: #FFFFFF;\n",
              "    }\n",
              "  </style>\n",
              "\n",
              "    <script>\n",
              "      const buttonEl =\n",
              "        document.querySelector('#df-2de0aa29-47b8-4eb5-bb6e-2fd6b245c3c7 button.colab-df-convert');\n",
              "      buttonEl.style.display =\n",
              "        google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "\n",
              "      async function convertToInteractive(key) {\n",
              "        const element = document.querySelector('#df-2de0aa29-47b8-4eb5-bb6e-2fd6b245c3c7');\n",
              "        const dataTable =\n",
              "          await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                    [key], {});\n",
              "        if (!dataTable) return;\n",
              "\n",
              "        const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "          '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
              "          + ' to learn more about interactive tables.';\n",
              "        element.innerHTML = '';\n",
              "        dataTable['output_type'] = 'display_data';\n",
              "        await google.colab.output.renderOutput(dataTable, element);\n",
              "        const docLink = document.createElement('div');\n",
              "        docLink.innerHTML = docLinkHtml;\n",
              "        element.appendChild(docLink);\n",
              "      }\n",
              "    </script>\n",
              "  </div>\n",
              "\n",
              "\n",
              "<div id=\"df-be760966-495f-47fc-be52-69a87fe8d7d2\">\n",
              "  <button class=\"colab-df-quickchart\" onclick=\"quickchart('df-be760966-495f-47fc-be52-69a87fe8d7d2')\"\n",
              "            title=\"Suggest charts\"\n",
              "            style=\"display:none;\">\n",
              "\n",
              "<svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\"viewBox=\"0 0 24 24\"\n",
              "     width=\"24px\">\n",
              "    <g>\n",
              "        <path d=\"M19 3H5c-1.1 0-2 .9-2 2v14c0 1.1.9 2 2 2h14c1.1 0 2-.9 2-2V5c0-1.1-.9-2-2-2zM9 17H7v-7h2v7zm4 0h-2V7h2v10zm4 0h-2v-4h2v4z\"/>\n",
              "    </g>\n",
              "</svg>\n",
              "  </button>\n",
              "\n",
              "<style>\n",
              "  .colab-df-quickchart {\n",
              "      --bg-color: #E8F0FE;\n",
              "      --fill-color: #1967D2;\n",
              "      --hover-bg-color: #E2EBFA;\n",
              "      --hover-fill-color: #174EA6;\n",
              "      --disabled-fill-color: #AAA;\n",
              "      --disabled-bg-color: #DDD;\n",
              "  }\n",
              "\n",
              "  [theme=dark] .colab-df-quickchart {\n",
              "      --bg-color: #3B4455;\n",
              "      --fill-color: #D2E3FC;\n",
              "      --hover-bg-color: #434B5C;\n",
              "      --hover-fill-color: #FFFFFF;\n",
              "      --disabled-bg-color: #3B4455;\n",
              "      --disabled-fill-color: #666;\n",
              "  }\n",
              "\n",
              "  .colab-df-quickchart {\n",
              "    background-color: var(--bg-color);\n",
              "    border: none;\n",
              "    border-radius: 50%;\n",
              "    cursor: pointer;\n",
              "    display: none;\n",
              "    fill: var(--fill-color);\n",
              "    height: 32px;\n",
              "    padding: 0;\n",
              "    width: 32px;\n",
              "  }\n",
              "\n",
              "  .colab-df-quickchart:hover {\n",
              "    background-color: var(--hover-bg-color);\n",
              "    box-shadow: 0 1px 2px rgba(60, 64, 67, 0.3), 0 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
              "    fill: var(--button-hover-fill-color);\n",
              "  }\n",
              "\n",
              "  .colab-df-quickchart-complete:disabled,\n",
              "  .colab-df-quickchart-complete:disabled:hover {\n",
              "    background-color: var(--disabled-bg-color);\n",
              "    fill: var(--disabled-fill-color);\n",
              "    box-shadow: none;\n",
              "  }\n",
              "\n",
              "  .colab-df-spinner {\n",
              "    border: 2px solid var(--fill-color);\n",
              "    border-color: transparent;\n",
              "    border-bottom-color: var(--fill-color);\n",
              "    animation:\n",
              "      spin 1s steps(1) infinite;\n",
              "  }\n",
              "\n",
              "  @keyframes spin {\n",
              "    0% {\n",
              "      border-color: transparent;\n",
              "      border-bottom-color: var(--fill-color);\n",
              "      border-left-color: var(--fill-color);\n",
              "    }\n",
              "    20% {\n",
              "      border-color: transparent;\n",
              "      border-left-color: var(--fill-color);\n",
              "      border-top-color: var(--fill-color);\n",
              "    }\n",
              "    30% {\n",
              "      border-color: transparent;\n",
              "      border-left-color: var(--fill-color);\n",
              "      border-top-color: var(--fill-color);\n",
              "      border-right-color: var(--fill-color);\n",
              "    }\n",
              "    40% {\n",
              "      border-color: transparent;\n",
              "      border-right-color: var(--fill-color);\n",
              "      border-top-color: var(--fill-color);\n",
              "    }\n",
              "    60% {\n",
              "      border-color: transparent;\n",
              "      border-right-color: var(--fill-color);\n",
              "    }\n",
              "    80% {\n",
              "      border-color: transparent;\n",
              "      border-right-color: var(--fill-color);\n",
              "      border-bottom-color: var(--fill-color);\n",
              "    }\n",
              "    90% {\n",
              "      border-color: transparent;\n",
              "      border-bottom-color: var(--fill-color);\n",
              "    }\n",
              "  }\n",
              "</style>\n",
              "\n",
              "  <script>\n",
              "    async function quickchart(key) {\n",
              "      const quickchartButtonEl =\n",
              "        document.querySelector('#' + key + ' button');\n",
              "      quickchartButtonEl.disabled = true;  // To prevent multiple clicks.\n",
              "      quickchartButtonEl.classList.add('colab-df-spinner');\n",
              "      try {\n",
              "        const charts = await google.colab.kernel.invokeFunction(\n",
              "            'suggestCharts', [key], {});\n",
              "      } catch (error) {\n",
              "        console.error('Error during call to suggestCharts:', error);\n",
              "      }\n",
              "      quickchartButtonEl.classList.remove('colab-df-spinner');\n",
              "      quickchartButtonEl.classList.add('colab-df-quickchart-complete');\n",
              "    }\n",
              "    (() => {\n",
              "      let quickchartButtonEl =\n",
              "        document.querySelector('#df-be760966-495f-47fc-be52-69a87fe8d7d2 button');\n",
              "      quickchartButtonEl.style.display =\n",
              "        google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "    })();\n",
              "  </script>\n",
              "</div>\n",
              "\n",
              "    </div>\n",
              "  </div>\n"
            ],
            "application/vnd.google.colaboratory.intrinsic+json": {
              "type": "dataframe",
              "variable_name": "returns",
              "summary": "{\n  \"name\": \"returns\",\n  \"rows\": 28,\n  \"fields\": [\n    {\n      \"column\": \"Date\",\n      \"properties\": {\n        \"dtype\": \"date\",\n        \"min\": \"2024-04-01 00:00:00\",\n        \"max\": \"2024-05-08 00:00:00\",\n        \"num_unique_values\": 28,\n        \"samples\": [\n          \"2024-04-12 00:00:00\",\n          \"2024-05-06 00:00:00\",\n          \"2024-04-11 00:00:00\"\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"ARM\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": 0.05166065364845085,\n        \"min\": -0.16898585624248386,\n        \"max\": 0.06789767178781414,\n        \"num_unique_values\": 27,\n        \"samples\": [\n          -0.03660491781455699,\n          -0.16898585624248386,\n          -0.03174227877866398\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"META\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": 0.02753598854622982,\n        \"min\": -0.1056129586974417,\n        \"max\": 0.03213812924957349,\n        \"num_unique_values\": 27,\n        \"samples\": [\n          -0.021523013659411117,\n          -0.04131124147675891,\n          -0.022797388258059104\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"SPY\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": 0.0084925113729149,\n        \"min\": -0.015841247325688257,\n        \"max\": 0.012395322615995186,\n        \"num_unique_values\": 27,\n        \"samples\": [\n          -0.013803077020240084,\n          -0.00872835011101658,\n          -0.012528127278102708\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"TSLA\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": 0.04872259693001104,\n        \"min\": -0.05594859487563397,\n        \"max\": 0.1530691710339953,\n        \"num_unique_values\": 27,\n        \"samples\": [\n          -0.020332204625772565,\n          -0.0192088959161848,\n          -0.05594859487563397\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    }\n  ]\n}"
            }
          },
          "metadata": {},
          "execution_count": 3
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "returns = returns.dropna()\n",
        "\n",
        "returns.head()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 238
        },
        "id": "smRQAk1DQ5p0",
        "outputId": "35971d47-108d-4a7e-d989-5287f8d1c274"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Ticker           ARM      META       SPY      TSLA\n",
              "Date                                              \n",
              "2024-04-02 -0.020723  0.012252 -0.006358 -0.049024\n",
              "2024-04-03  0.008288  0.018839  0.001099  0.010502\n",
              "2024-04-04 -0.026335  0.008249 -0.012206  0.016213\n",
              "2024-04-05  0.023031  0.032138  0.010447 -0.036292\n",
              "2024-04-08  0.035491 -0.015341  0.000559  0.048999"
            ],
            "text/html": [
              "\n",
              "  <div id=\"df-6751159f-7e09-4cff-a0ed-a92bf7326819\" class=\"colab-df-container\">\n",
              "    <div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th>Ticker</th>\n",
              "      <th>ARM</th>\n",
              "      <th>META</th>\n",
              "      <th>SPY</th>\n",
              "      <th>TSLA</th>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Date</th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>2024-04-02</th>\n",
              "      <td>-0.020723</td>\n",
              "      <td>0.012252</td>\n",
              "      <td>-0.006358</td>\n",
              "      <td>-0.049024</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2024-04-03</th>\n",
              "      <td>0.008288</td>\n",
              "      <td>0.018839</td>\n",
              "      <td>0.001099</td>\n",
              "      <td>0.010502</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2024-04-04</th>\n",
              "      <td>-0.026335</td>\n",
              "      <td>0.008249</td>\n",
              "      <td>-0.012206</td>\n",
              "      <td>0.016213</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2024-04-05</th>\n",
              "      <td>0.023031</td>\n",
              "      <td>0.032138</td>\n",
              "      <td>0.010447</td>\n",
              "      <td>-0.036292</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2024-04-08</th>\n",
              "      <td>0.035491</td>\n",
              "      <td>-0.015341</td>\n",
              "      <td>0.000559</td>\n",
              "      <td>0.048999</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>\n",
              "    <div class=\"colab-df-buttons\">\n",
              "\n",
              "  <div class=\"colab-df-container\">\n",
              "    <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-6751159f-7e09-4cff-a0ed-a92bf7326819')\"\n",
              "            title=\"Convert this dataframe to an interactive table.\"\n",
              "            style=\"display:none;\">\n",
              "\n",
              "  <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\" viewBox=\"0 -960 960 960\">\n",
              "    <path d=\"M120-120v-720h720v720H120Zm60-500h600v-160H180v160Zm220 220h160v-160H400v160Zm0 220h160v-160H400v160ZM180-400h160v-160H180v160Zm440 0h160v-160H620v160ZM180-180h160v-160H180v160Zm440 0h160v-160H620v160Z\"/>\n",
              "  </svg>\n",
              "    </button>\n",
              "\n",
              "  <style>\n",
              "    .colab-df-container {\n",
              "      display:flex;\n",
              "      gap: 12px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert {\n",
              "      background-color: #E8F0FE;\n",
              "      border: none;\n",
              "      border-radius: 50%;\n",
              "      cursor: pointer;\n",
              "      display: none;\n",
              "      fill: #1967D2;\n",
              "      height: 32px;\n",
              "      padding: 0 0 0 0;\n",
              "      width: 32px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert:hover {\n",
              "      background-color: #E2EBFA;\n",
              "      box-shadow: 0px 1px 2px rgba(60, 64, 67, 0.3), 0px 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
              "      fill: #174EA6;\n",
              "    }\n",
              "\n",
              "    .colab-df-buttons div {\n",
              "      margin-bottom: 4px;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert {\n",
              "      background-color: #3B4455;\n",
              "      fill: #D2E3FC;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert:hover {\n",
              "      background-color: #434B5C;\n",
              "      box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n",
              "      filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));\n",
              "      fill: #FFFFFF;\n",
              "    }\n",
              "  </style>\n",
              "\n",
              "    <script>\n",
              "      const buttonEl =\n",
              "        document.querySelector('#df-6751159f-7e09-4cff-a0ed-a92bf7326819 button.colab-df-convert');\n",
              "      buttonEl.style.display =\n",
              "        google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "\n",
              "      async function convertToInteractive(key) {\n",
              "        const element = document.querySelector('#df-6751159f-7e09-4cff-a0ed-a92bf7326819');\n",
              "        const dataTable =\n",
              "          await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                    [key], {});\n",
              "        if (!dataTable) return;\n",
              "\n",
              "        const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "          '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
              "          + ' to learn more about interactive tables.';\n",
              "        element.innerHTML = '';\n",
              "        dataTable['output_type'] = 'display_data';\n",
              "        await google.colab.output.renderOutput(dataTable, element);\n",
              "        const docLink = document.createElement('div');\n",
              "        docLink.innerHTML = docLinkHtml;\n",
              "        element.appendChild(docLink);\n",
              "      }\n",
              "    </script>\n",
              "  </div>\n",
              "\n",
              "\n",
              "<div id=\"df-425dcda6-360d-41da-bd99-6796e140b2c5\">\n",
              "  <button class=\"colab-df-quickchart\" onclick=\"quickchart('df-425dcda6-360d-41da-bd99-6796e140b2c5')\"\n",
              "            title=\"Suggest charts\"\n",
              "            style=\"display:none;\">\n",
              "\n",
              "<svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\"viewBox=\"0 0 24 24\"\n",
              "     width=\"24px\">\n",
              "    <g>\n",
              "        <path d=\"M19 3H5c-1.1 0-2 .9-2 2v14c0 1.1.9 2 2 2h14c1.1 0 2-.9 2-2V5c0-1.1-.9-2-2-2zM9 17H7v-7h2v7zm4 0h-2V7h2v10zm4 0h-2v-4h2v4z\"/>\n",
              "    </g>\n",
              "</svg>\n",
              "  </button>\n",
              "\n",
              "<style>\n",
              "  .colab-df-quickchart {\n",
              "      --bg-color: #E8F0FE;\n",
              "      --fill-color: #1967D2;\n",
              "      --hover-bg-color: #E2EBFA;\n",
              "      --hover-fill-color: #174EA6;\n",
              "      --disabled-fill-color: #AAA;\n",
              "      --disabled-bg-color: #DDD;\n",
              "  }\n",
              "\n",
              "  [theme=dark] .colab-df-quickchart {\n",
              "      --bg-color: #3B4455;\n",
              "      --fill-color: #D2E3FC;\n",
              "      --hover-bg-color: #434B5C;\n",
              "      --hover-fill-color: #FFFFFF;\n",
              "      --disabled-bg-color: #3B4455;\n",
              "      --disabled-fill-color: #666;\n",
              "  }\n",
              "\n",
              "  .colab-df-quickchart {\n",
              "    background-color: var(--bg-color);\n",
              "    border: none;\n",
              "    border-radius: 50%;\n",
              "    cursor: pointer;\n",
              "    display: none;\n",
              "    fill: var(--fill-color);\n",
              "    height: 32px;\n",
              "    padding: 0;\n",
              "    width: 32px;\n",
              "  }\n",
              "\n",
              "  .colab-df-quickchart:hover {\n",
              "    background-color: var(--hover-bg-color);\n",
              "    box-shadow: 0 1px 2px rgba(60, 64, 67, 0.3), 0 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
              "    fill: var(--button-hover-fill-color);\n",
              "  }\n",
              "\n",
              "  .colab-df-quickchart-complete:disabled,\n",
              "  .colab-df-quickchart-complete:disabled:hover {\n",
              "    background-color: var(--disabled-bg-color);\n",
              "    fill: var(--disabled-fill-color);\n",
              "    box-shadow: none;\n",
              "  }\n",
              "\n",
              "  .colab-df-spinner {\n",
              "    border: 2px solid var(--fill-color);\n",
              "    border-color: transparent;\n",
              "    border-bottom-color: var(--fill-color);\n",
              "    animation:\n",
              "      spin 1s steps(1) infinite;\n",
              "  }\n",
              "\n",
              "  @keyframes spin {\n",
              "    0% {\n",
              "      border-color: transparent;\n",
              "      border-bottom-color: var(--fill-color);\n",
              "      border-left-color: var(--fill-color);\n",
              "    }\n",
              "    20% {\n",
              "      border-color: transparent;\n",
              "      border-left-color: var(--fill-color);\n",
              "      border-top-color: var(--fill-color);\n",
              "    }\n",
              "    30% {\n",
              "      border-color: transparent;\n",
              "      border-left-color: var(--fill-color);\n",
              "      border-top-color: var(--fill-color);\n",
              "      border-right-color: var(--fill-color);\n",
              "    }\n",
              "    40% {\n",
              "      border-color: transparent;\n",
              "      border-right-color: var(--fill-color);\n",
              "      border-top-color: var(--fill-color);\n",
              "    }\n",
              "    60% {\n",
              "      border-color: transparent;\n",
              "      border-right-color: var(--fill-color);\n",
              "    }\n",
              "    80% {\n",
              "      border-color: transparent;\n",
              "      border-right-color: var(--fill-color);\n",
              "      border-bottom-color: var(--fill-color);\n",
              "    }\n",
              "    90% {\n",
              "      border-color: transparent;\n",
              "      border-bottom-color: var(--fill-color);\n",
              "    }\n",
              "  }\n",
              "</style>\n",
              "\n",
              "  <script>\n",
              "    async function quickchart(key) {\n",
              "      const quickchartButtonEl =\n",
              "        document.querySelector('#' + key + ' button');\n",
              "      quickchartButtonEl.disabled = true;  // To prevent multiple clicks.\n",
              "      quickchartButtonEl.classList.add('colab-df-spinner');\n",
              "      try {\n",
              "        const charts = await google.colab.kernel.invokeFunction(\n",
              "            'suggestCharts', [key], {});\n",
              "      } catch (error) {\n",
              "        console.error('Error during call to suggestCharts:', error);\n",
              "      }\n",
              "      quickchartButtonEl.classList.remove('colab-df-spinner');\n",
              "      quickchartButtonEl.classList.add('colab-df-quickchart-complete');\n",
              "    }\n",
              "    (() => {\n",
              "      let quickchartButtonEl =\n",
              "        document.querySelector('#df-425dcda6-360d-41da-bd99-6796e140b2c5 button');\n",
              "      quickchartButtonEl.style.display =\n",
              "        google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "    })();\n",
              "  </script>\n",
              "</div>\n",
              "\n",
              "    </div>\n",
              "  </div>\n"
            ],
            "application/vnd.google.colaboratory.intrinsic+json": {
              "type": "dataframe",
              "variable_name": "returns",
              "summary": "{\n  \"name\": \"returns\",\n  \"rows\": 27,\n  \"fields\": [\n    {\n      \"column\": \"Date\",\n      \"properties\": {\n        \"dtype\": \"date\",\n        \"min\": \"2024-04-02 00:00:00\",\n        \"max\": \"2024-05-08 00:00:00\",\n        \"num_unique_values\": 27,\n        \"samples\": [\n          \"2024-04-12 00:00:00\",\n          \"2024-04-19 00:00:00\",\n          \"2024-04-15 00:00:00\"\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"ARM\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": 0.05166065364845084,\n        \"min\": -0.16898585624248386,\n        \"max\": 0.06789767178781414,\n        \"num_unique_values\": 27,\n        \"samples\": [\n          -0.03660491781455699,\n          -0.16898585624248386,\n          -0.03174227877866398\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"META\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": 0.02753598854622982,\n        \"min\": -0.1056129586974417,\n        \"max\": 0.03213812924957349,\n        \"num_unique_values\": 27,\n        \"samples\": [\n          -0.021523013659411117,\n          -0.04131124147675891,\n          -0.022797388258059104\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"SPY\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": 0.0084925113729149,\n        \"min\": -0.015841247325688257,\n        \"max\": 0.012395322615995186,\n        \"num_unique_values\": 27,\n        \"samples\": [\n          -0.013803077020240084,\n          -0.00872835011101658,\n          -0.012528127278102708\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"TSLA\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": 0.04872259693001104,\n        \"min\": -0.05594859487563397,\n        \"max\": 0.1530691710339953,\n        \"num_unique_values\": 27,\n        \"samples\": [\n          -0.020332204625772565,\n          -0.0192088959161848,\n          -0.05594859487563397\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    }\n  ]\n}"
            }
          },
          "metadata": {},
          "execution_count": 4
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "average_daily_returns = returns.mean()\n",
        "print(average_daily_returns)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "0LSi1EluSjRA",
        "outputId": "a851a7e7-3e9b-4d2b-d06d-8f3ea46def2d"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Ticker\n",
            "ARM    -0.005259\n",
            "META   -0.001060\n",
            "SPY    -0.000319\n",
            "TSLA    0.000984\n",
            "dtype: float64\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "standard_deviation_daily_returns = returns.std()\n",
        "\n",
        "print(standard_deviation_daily_returns)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "BsjEGO46SwRP",
        "outputId": "d64644d9-7aee-4fd5-9b64-dfbebb695d10"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Ticker\n",
            "ARM     0.051661\n",
            "META    0.027536\n",
            "SPY     0.008493\n",
            "TSLA    0.048723\n",
            "dtype: float64\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy\n",
        "\n",
        "weights = numpy.array([0.25, 0.25, 0.25, 0.25])"
      ],
      "metadata": {
        "id": "aHVZp77fS_5T"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "covariance_matrix = (returns.cov())*250\n",
        "print(covariance_matrix)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "wOj-twh_Tnf5",
        "outputId": "837404eb-1556-4b86-c405-565169571db8"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Ticker       ARM      META       SPY      TSLA\n",
            "Ticker                                        \n",
            "ARM     0.667206  0.131290  0.072585  0.167230\n",
            "META    0.131290  0.189558  0.024381 -0.086532\n",
            "SPY     0.072585  0.024381  0.018031  0.027256\n",
            "TSLA    0.167230 -0.086532  0.027256  0.593473\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "expected_portfolio_performance = numpy.sum(average_daily_returns * weights)\n",
        "\n",
        "print(expected_portfolio_performance)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "3Y7MpadBT1na",
        "outputId": "af1e83be-0f2e-48c6-b43f-635ae9e21d80"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "-0.001413485369940147\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "returns['Portfolio Returns'] = returns.dot(weights)"
      ],
      "metadata": {
        "id": "U_tB0NrYUCCt"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "returns.head()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 238
        },
        "id": "92BQOPu4ULNT",
        "outputId": "a95b5cd1-071d-4fc3-e07b-b13412450a53"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Ticker           ARM      META       SPY      TSLA  Portfolio Returns\n",
              "Date                                                                 \n",
              "2024-04-02 -0.020723  0.012252 -0.006358 -0.049024          -0.015963\n",
              "2024-04-03  0.008288  0.018839  0.001099  0.010502           0.009682\n",
              "2024-04-04 -0.026335  0.008249 -0.012206  0.016213          -0.003520\n",
              "2024-04-05  0.023031  0.032138  0.010447 -0.036292           0.007331\n",
              "2024-04-08  0.035491 -0.015341  0.000559  0.048999           0.017427"
            ],
            "text/html": [
              "\n",
              "  <div id=\"df-2bd3b321-a16d-4a54-9583-dbb392386415\" class=\"colab-df-container\">\n",
              "    <div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th>Ticker</th>\n",
              "      <th>ARM</th>\n",
              "      <th>META</th>\n",
              "      <th>SPY</th>\n",
              "      <th>TSLA</th>\n",
              "      <th>Portfolio Returns</th>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Date</th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>2024-04-02</th>\n",
              "      <td>-0.020723</td>\n",
              "      <td>0.012252</td>\n",
              "      <td>-0.006358</td>\n",
              "      <td>-0.049024</td>\n",
              "      <td>-0.015963</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2024-04-03</th>\n",
              "      <td>0.008288</td>\n",
              "      <td>0.018839</td>\n",
              "      <td>0.001099</td>\n",
              "      <td>0.010502</td>\n",
              "      <td>0.009682</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2024-04-04</th>\n",
              "      <td>-0.026335</td>\n",
              "      <td>0.008249</td>\n",
              "      <td>-0.012206</td>\n",
              "      <td>0.016213</td>\n",
              "      <td>-0.003520</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2024-04-05</th>\n",
              "      <td>0.023031</td>\n",
              "      <td>0.032138</td>\n",
              "      <td>0.010447</td>\n",
              "      <td>-0.036292</td>\n",
              "      <td>0.007331</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2024-04-08</th>\n",
              "      <td>0.035491</td>\n",
              "      <td>-0.015341</td>\n",
              "      <td>0.000559</td>\n",
              "      <td>0.048999</td>\n",
              "      <td>0.017427</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>\n",
              "    <div class=\"colab-df-buttons\">\n",
              "\n",
              "  <div class=\"colab-df-container\">\n",
              "    <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-2bd3b321-a16d-4a54-9583-dbb392386415')\"\n",
              "            title=\"Convert this dataframe to an interactive table.\"\n",
              "            style=\"display:none;\">\n",
              "\n",
              "  <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\" viewBox=\"0 -960 960 960\">\n",
              "    <path d=\"M120-120v-720h720v720H120Zm60-500h600v-160H180v160Zm220 220h160v-160H400v160Zm0 220h160v-160H400v160ZM180-400h160v-160H180v160Zm440 0h160v-160H620v160ZM180-180h160v-160H180v160Zm440 0h160v-160H620v160Z\"/>\n",
              "  </svg>\n",
              "    </button>\n",
              "\n",
              "  <style>\n",
              "    .colab-df-container {\n",
              "      display:flex;\n",
              "      gap: 12px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert {\n",
              "      background-color: #E8F0FE;\n",
              "      border: none;\n",
              "      border-radius: 50%;\n",
              "      cursor: pointer;\n",
              "      display: none;\n",
              "      fill: #1967D2;\n",
              "      height: 32px;\n",
              "      padding: 0 0 0 0;\n",
              "      width: 32px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert:hover {\n",
              "      background-color: #E2EBFA;\n",
              "      box-shadow: 0px 1px 2px rgba(60, 64, 67, 0.3), 0px 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
              "      fill: #174EA6;\n",
              "    }\n",
              "\n",
              "    .colab-df-buttons div {\n",
              "      margin-bottom: 4px;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert {\n",
              "      background-color: #3B4455;\n",
              "      fill: #D2E3FC;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert:hover {\n",
              "      background-color: #434B5C;\n",
              "      box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n",
              "      filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));\n",
              "      fill: #FFFFFF;\n",
              "    }\n",
              "  </style>\n",
              "\n",
              "    <script>\n",
              "      const buttonEl =\n",
              "        document.querySelector('#df-2bd3b321-a16d-4a54-9583-dbb392386415 button.colab-df-convert');\n",
              "      buttonEl.style.display =\n",
              "        google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "\n",
              "      async function convertToInteractive(key) {\n",
              "        const element = document.querySelector('#df-2bd3b321-a16d-4a54-9583-dbb392386415');\n",
              "        const dataTable =\n",
              "          await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                    [key], {});\n",
              "        if (!dataTable) return;\n",
              "\n",
              "        const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "          '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
              "          + ' to learn more about interactive tables.';\n",
              "        element.innerHTML = '';\n",
              "        dataTable['output_type'] = 'display_data';\n",
              "        await google.colab.output.renderOutput(dataTable, element);\n",
              "        const docLink = document.createElement('div');\n",
              "        docLink.innerHTML = docLinkHtml;\n",
              "        element.appendChild(docLink);\n",
              "      }\n",
              "    </script>\n",
              "  </div>\n",
              "\n",
              "\n",
              "<div id=\"df-3de97fae-86d5-47ef-8a8e-20f27488e49b\">\n",
              "  <button class=\"colab-df-quickchart\" onclick=\"quickchart('df-3de97fae-86d5-47ef-8a8e-20f27488e49b')\"\n",
              "            title=\"Suggest charts\"\n",
              "            style=\"display:none;\">\n",
              "\n",
              "<svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\"viewBox=\"0 0 24 24\"\n",
              "     width=\"24px\">\n",
              "    <g>\n",
              "        <path d=\"M19 3H5c-1.1 0-2 .9-2 2v14c0 1.1.9 2 2 2h14c1.1 0 2-.9 2-2V5c0-1.1-.9-2-2-2zM9 17H7v-7h2v7zm4 0h-2V7h2v10zm4 0h-2v-4h2v4z\"/>\n",
              "    </g>\n",
              "</svg>\n",
              "  </button>\n",
              "\n",
              "<style>\n",
              "  .colab-df-quickchart {\n",
              "      --bg-color: #E8F0FE;\n",
              "      --fill-color: #1967D2;\n",
              "      --hover-bg-color: #E2EBFA;\n",
              "      --hover-fill-color: #174EA6;\n",
              "      --disabled-fill-color: #AAA;\n",
              "      --disabled-bg-color: #DDD;\n",
              "  }\n",
              "\n",
              "  [theme=dark] .colab-df-quickchart {\n",
              "      --bg-color: #3B4455;\n",
              "      --fill-color: #D2E3FC;\n",
              "      --hover-bg-color: #434B5C;\n",
              "      --hover-fill-color: #FFFFFF;\n",
              "      --disabled-bg-color: #3B4455;\n",
              "      --disabled-fill-color: #666;\n",
              "  }\n",
              "\n",
              "  .colab-df-quickchart {\n",
              "    background-color: var(--bg-color);\n",
              "    border: none;\n",
              "    border-radius: 50%;\n",
              "    cursor: pointer;\n",
              "    display: none;\n",
              "    fill: var(--fill-color);\n",
              "    height: 32px;\n",
              "    padding: 0;\n",
              "    width: 32px;\n",
              "  }\n",
              "\n",
              "  .colab-df-quickchart:hover {\n",
              "    background-color: var(--hover-bg-color);\n",
              "    box-shadow: 0 1px 2px rgba(60, 64, 67, 0.3), 0 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
              "    fill: var(--button-hover-fill-color);\n",
              "  }\n",
              "\n",
              "  .colab-df-quickchart-complete:disabled,\n",
              "  .colab-df-quickchart-complete:disabled:hover {\n",
              "    background-color: var(--disabled-bg-color);\n",
              "    fill: var(--disabled-fill-color);\n",
              "    box-shadow: none;\n",
              "  }\n",
              "\n",
              "  .colab-df-spinner {\n",
              "    border: 2px solid var(--fill-color);\n",
              "    border-color: transparent;\n",
              "    border-bottom-color: var(--fill-color);\n",
              "    animation:\n",
              "      spin 1s steps(1) infinite;\n",
              "  }\n",
              "\n",
              "  @keyframes spin {\n",
              "    0% {\n",
              "      border-color: transparent;\n",
              "      border-bottom-color: var(--fill-color);\n",
              "      border-left-color: var(--fill-color);\n",
              "    }\n",
              "    20% {\n",
              "      border-color: transparent;\n",
              "      border-left-color: var(--fill-color);\n",
              "      border-top-color: var(--fill-color);\n",
              "    }\n",
              "    30% {\n",
              "      border-color: transparent;\n",
              "      border-left-color: var(--fill-color);\n",
              "      border-top-color: var(--fill-color);\n",
              "      border-right-color: var(--fill-color);\n",
              "    }\n",
              "    40% {\n",
              "      border-color: transparent;\n",
              "      border-right-color: var(--fill-color);\n",
              "      border-top-color: var(--fill-color);\n",
              "    }\n",
              "    60% {\n",
              "      border-color: transparent;\n",
              "      border-right-color: var(--fill-color);\n",
              "    }\n",
              "    80% {\n",
              "      border-color: transparent;\n",
              "      border-right-color: var(--fill-color);\n",
              "      border-bottom-color: var(--fill-color);\n",
              "    }\n",
              "    90% {\n",
              "      border-color: transparent;\n",
              "      border-bottom-color: var(--fill-color);\n",
              "    }\n",
              "  }\n",
              "</style>\n",
              "\n",
              "  <script>\n",
              "    async function quickchart(key) {\n",
              "      const quickchartButtonEl =\n",
              "        document.querySelector('#' + key + ' button');\n",
              "      quickchartButtonEl.disabled = true;  // To prevent multiple clicks.\n",
              "      quickchartButtonEl.classList.add('colab-df-spinner');\n",
              "      try {\n",
              "        const charts = await google.colab.kernel.invokeFunction(\n",
              "            'suggestCharts', [key], {});\n",
              "      } catch (error) {\n",
              "        console.error('Error during call to suggestCharts:', error);\n",
              "      }\n",
              "      quickchartButtonEl.classList.remove('colab-df-spinner');\n",
              "      quickchartButtonEl.classList.add('colab-df-quickchart-complete');\n",
              "    }\n",
              "    (() => {\n",
              "      let quickchartButtonEl =\n",
              "        document.querySelector('#df-3de97fae-86d5-47ef-8a8e-20f27488e49b button');\n",
              "      quickchartButtonEl.style.display =\n",
              "        google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "    })();\n",
              "  </script>\n",
              "</div>\n",
              "\n",
              "    </div>\n",
              "  </div>\n"
            ],
            "application/vnd.google.colaboratory.intrinsic+json": {
              "type": "dataframe",
              "variable_name": "returns",
              "summary": "{\n  \"name\": \"returns\",\n  \"rows\": 27,\n  \"fields\": [\n    {\n      \"column\": \"Date\",\n      \"properties\": {\n        \"dtype\": \"date\",\n        \"min\": \"2024-04-02 00:00:00\",\n        \"max\": \"2024-05-08 00:00:00\",\n        \"num_unique_values\": 27,\n        \"samples\": [\n          \"2024-04-12 00:00:00\",\n          \"2024-04-19 00:00:00\",\n          \"2024-04-15 00:00:00\"\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"ARM\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": 0.05166065364845084,\n        \"min\": -0.16898585624248386,\n        \"max\": 0.06789767178781414,\n        \"num_unique_values\": 27,\n        \"samples\": [\n          -0.03660491781455699,\n          -0.16898585624248386,\n          -0.03174227877866398\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"META\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": 0.02753598854622982,\n        \"min\": -0.1056129586974417,\n        \"max\": 0.03213812924957349,\n        \"num_unique_values\": 27,\n        \"samples\": [\n          -0.021523013659411117,\n          -0.04131124147675891,\n          -0.022797388258059104\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"SPY\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": 0.0084925113729149,\n        \"min\": -0.015841247325688257,\n        \"max\": 0.012395322615995186,\n        \"num_unique_values\": 27,\n        \"samples\": [\n          -0.013803077020240084,\n          -0.00872835011101658,\n          -0.012528127278102708\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"TSLA\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": 0.04872259693001104,\n        \"min\": -0.05594859487563397,\n        \"max\": 0.1530691710339953,\n        \"num_unique_values\": 27,\n        \"samples\": [\n          -0.020332204625772565,\n          -0.0192088959161848,\n          -0.05594859487563397\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"Portfolio Returns\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": 0.02313377722945321,\n        \"min\": -0.059558585936611036,\n        \"max\": 0.038719721860631745,\n        \"num_unique_values\": 27,\n        \"samples\": [\n          -0.02306580327999519,\n          -0.059558585936611036,\n          -0.03075409729761494\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    }\n  ]\n}"
            }
          },
          "metadata": {},
          "execution_count": 11
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "daily_cumulative_returns= (1+returns).cumprod()\n",
        "print(daily_cumulative_returns)"
      ],
      "metadata": {
        "id": "o8z0mBEUUa77",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "65e4933e-ea16-4109-c5c0-d1f740134aca"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Ticker           ARM      META       SPY      TSLA  Portfolio Returns\n",
            "Date                                                                 \n",
            "2024-04-02  0.979277  1.012252  0.993642  0.950976           0.984037\n",
            "2024-04-03  0.987393  1.031322  0.994733  0.960963           0.993564\n",
            "2024-04-04  0.961390  1.039829  0.982592  0.976544           0.990067\n",
            "2024-04-05  0.983532  1.073247  0.992857  0.941103           0.997325\n",
            "2024-04-08  1.018438  1.056782  0.993412  0.987216           1.014706\n",
            "2024-04-09  0.999212  1.052000  0.994561  1.009474           1.014781\n",
            "2024-04-10  0.986368  1.057963  0.984602  0.980253           1.003075\n",
            "2024-04-11  1.033252  1.064740  0.992033  0.996462           1.022639\n",
            "2024-04-12  0.995430  1.041824  0.978340  0.976201           0.999051\n",
            "2024-04-15  0.963833  1.018073  0.966083  0.921584           0.968326\n",
            "2024-04-16  0.963045  1.017116  0.964321  0.896644           0.960908\n",
            "2024-04-17  0.847530  1.005739  0.958614  0.887170           0.925447\n",
            "2024-04-18  0.826728  1.021268  0.956642  0.855667           0.914649\n",
            "2024-04-19  0.687022  0.979078  0.948292  0.839231           0.860173\n",
            "2024-04-22  0.733670  0.980421  0.957025  0.810695           0.869738\n",
            "2024-04-23  0.756757  1.009667  0.968381  0.825705           0.889672\n",
            "2024-04-24  0.787014  1.004376  0.967922  0.925294           0.924120\n",
            "2024-04-25  0.771649  0.898301  0.964245  0.971236           0.905803\n",
            "2024-04-26  0.803325  0.902188  0.973380  0.960450           0.915709\n",
            "2024-04-29  0.813490  0.880472  0.976827  1.107465           0.948948\n",
            "2024-04-30  0.797494  0.875486  0.961353  1.045999           0.926015\n",
            "2024-05-01  0.750847  0.893843  0.958231  1.027223           0.912420\n",
            "2024-05-02  0.772201  0.898911  0.967194  1.027337           0.922360\n",
            "2024-05-03  0.801355  0.919833  0.979183  1.034071           0.940802\n",
            "2024-05-06  0.842960  0.947756  0.989295  1.054446           0.967216\n",
            "2024-05-07  0.849421  0.952966  0.990386  1.014781           0.961570\n",
            "2024-05-08  0.835789  0.961840  0.990482  0.997146           0.955796\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "daily_cumulative_returns.tail()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 238
        },
        "id": "Roh4BE6fUmGt",
        "outputId": "66b911b4-5268-42ad-9f45-887f377dfe77"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Ticker           ARM      META       SPY      TSLA  Portfolio Returns\n",
              "Date                                                                 \n",
              "2024-05-02  0.772201  0.898911  0.967194  1.027337           0.922360\n",
              "2024-05-03  0.801355  0.919833  0.979183  1.034071           0.940802\n",
              "2024-05-06  0.842960  0.947756  0.989295  1.054446           0.967216\n",
              "2024-05-07  0.849421  0.952966  0.990386  1.014781           0.961570\n",
              "2024-05-08  0.835789  0.961840  0.990482  0.997146           0.955796"
            ],
            "text/html": [
              "\n",
              "  <div id=\"df-e16cfa33-3b61-42a3-a82b-ae1ecb73362c\" class=\"colab-df-container\">\n",
              "    <div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th>Ticker</th>\n",
              "      <th>ARM</th>\n",
              "      <th>META</th>\n",
              "      <th>SPY</th>\n",
              "      <th>TSLA</th>\n",
              "      <th>Portfolio Returns</th>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Date</th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>2024-05-02</th>\n",
              "      <td>0.772201</td>\n",
              "      <td>0.898911</td>\n",
              "      <td>0.967194</td>\n",
              "      <td>1.027337</td>\n",
              "      <td>0.922360</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2024-05-03</th>\n",
              "      <td>0.801355</td>\n",
              "      <td>0.919833</td>\n",
              "      <td>0.979183</td>\n",
              "      <td>1.034071</td>\n",
              "      <td>0.940802</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2024-05-06</th>\n",
              "      <td>0.842960</td>\n",
              "      <td>0.947756</td>\n",
              "      <td>0.989295</td>\n",
              "      <td>1.054446</td>\n",
              "      <td>0.967216</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2024-05-07</th>\n",
              "      <td>0.849421</td>\n",
              "      <td>0.952966</td>\n",
              "      <td>0.990386</td>\n",
              "      <td>1.014781</td>\n",
              "      <td>0.961570</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2024-05-08</th>\n",
              "      <td>0.835789</td>\n",
              "      <td>0.961840</td>\n",
              "      <td>0.990482</td>\n",
              "      <td>0.997146</td>\n",
              "      <td>0.955796</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>\n",
              "    <div class=\"colab-df-buttons\">\n",
              "\n",
              "  <div class=\"colab-df-container\">\n",
              "    <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-e16cfa33-3b61-42a3-a82b-ae1ecb73362c')\"\n",
              "            title=\"Convert this dataframe to an interactive table.\"\n",
              "            style=\"display:none;\">\n",
              "\n",
              "  <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\" viewBox=\"0 -960 960 960\">\n",
              "    <path d=\"M120-120v-720h720v720H120Zm60-500h600v-160H180v160Zm220 220h160v-160H400v160Zm0 220h160v-160H400v160ZM180-400h160v-160H180v160Zm440 0h160v-160H620v160ZM180-180h160v-160H180v160Zm440 0h160v-160H620v160Z\"/>\n",
              "  </svg>\n",
              "    </button>\n",
              "\n",
              "  <style>\n",
              "    .colab-df-container {\n",
              "      display:flex;\n",
              "      gap: 12px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert {\n",
              "      background-color: #E8F0FE;\n",
              "      border: none;\n",
              "      border-radius: 50%;\n",
              "      cursor: pointer;\n",
              "      display: none;\n",
              "      fill: #1967D2;\n",
              "      height: 32px;\n",
              "      padding: 0 0 0 0;\n",
              "      width: 32px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert:hover {\n",
              "      background-color: #E2EBFA;\n",
              "      box-shadow: 0px 1px 2px rgba(60, 64, 67, 0.3), 0px 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
              "      fill: #174EA6;\n",
              "    }\n",
              "\n",
              "    .colab-df-buttons div {\n",
              "      margin-bottom: 4px;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert {\n",
              "      background-color: #3B4455;\n",
              "      fill: #D2E3FC;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert:hover {\n",
              "      background-color: #434B5C;\n",
              "      box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n",
              "      filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));\n",
              "      fill: #FFFFFF;\n",
              "    }\n",
              "  </style>\n",
              "\n",
              "    <script>\n",
              "      const buttonEl =\n",
              "        document.querySelector('#df-e16cfa33-3b61-42a3-a82b-ae1ecb73362c button.colab-df-convert');\n",
              "      buttonEl.style.display =\n",
              "        google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "\n",
              "      async function convertToInteractive(key) {\n",
              "        const element = document.querySelector('#df-e16cfa33-3b61-42a3-a82b-ae1ecb73362c');\n",
              "        const dataTable =\n",
              "          await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                    [key], {});\n",
              "        if (!dataTable) return;\n",
              "\n",
              "        const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "          '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
              "          + ' to learn more about interactive tables.';\n",
              "        element.innerHTML = '';\n",
              "        dataTable['output_type'] = 'display_data';\n",
              "        await google.colab.output.renderOutput(dataTable, element);\n",
              "        const docLink = document.createElement('div');\n",
              "        docLink.innerHTML = docLinkHtml;\n",
              "        element.appendChild(docLink);\n",
              "      }\n",
              "    </script>\n",
              "  </div>\n",
              "\n",
              "\n",
              "<div id=\"df-b087f441-dd59-4af0-81da-6c3b9fe3d4a6\">\n",
              "  <button class=\"colab-df-quickchart\" onclick=\"quickchart('df-b087f441-dd59-4af0-81da-6c3b9fe3d4a6')\"\n",
              "            title=\"Suggest charts\"\n",
              "            style=\"display:none;\">\n",
              "\n",
              "<svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\"viewBox=\"0 0 24 24\"\n",
              "     width=\"24px\">\n",
              "    <g>\n",
              "        <path d=\"M19 3H5c-1.1 0-2 .9-2 2v14c0 1.1.9 2 2 2h14c1.1 0 2-.9 2-2V5c0-1.1-.9-2-2-2zM9 17H7v-7h2v7zm4 0h-2V7h2v10zm4 0h-2v-4h2v4z\"/>\n",
              "    </g>\n",
              "</svg>\n",
              "  </button>\n",
              "\n",
              "<style>\n",
              "  .colab-df-quickchart {\n",
              "      --bg-color: #E8F0FE;\n",
              "      --fill-color: #1967D2;\n",
              "      --hover-bg-color: #E2EBFA;\n",
              "      --hover-fill-color: #174EA6;\n",
              "      --disabled-fill-color: #AAA;\n",
              "      --disabled-bg-color: #DDD;\n",
              "  }\n",
              "\n",
              "  [theme=dark] .colab-df-quickchart {\n",
              "      --bg-color: #3B4455;\n",
              "      --fill-color: #D2E3FC;\n",
              "      --hover-bg-color: #434B5C;\n",
              "      --hover-fill-color: #FFFFFF;\n",
              "      --disabled-bg-color: #3B4455;\n",
              "      --disabled-fill-color: #666;\n",
              "  }\n",
              "\n",
              "  .colab-df-quickchart {\n",
              "    background-color: var(--bg-color);\n",
              "    border: none;\n",
              "    border-radius: 50%;\n",
              "    cursor: pointer;\n",
              "    display: none;\n",
              "    fill: var(--fill-color);\n",
              "    height: 32px;\n",
              "    padding: 0;\n",
              "    width: 32px;\n",
              "  }\n",
              "\n",
              "  .colab-df-quickchart:hover {\n",
              "    background-color: var(--hover-bg-color);\n",
              "    box-shadow: 0 1px 2px rgba(60, 64, 67, 0.3), 0 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
              "    fill: var(--button-hover-fill-color);\n",
              "  }\n",
              "\n",
              "  .colab-df-quickchart-complete:disabled,\n",
              "  .colab-df-quickchart-complete:disabled:hover {\n",
              "    background-color: var(--disabled-bg-color);\n",
              "    fill: var(--disabled-fill-color);\n",
              "    box-shadow: none;\n",
              "  }\n",
              "\n",
              "  .colab-df-spinner {\n",
              "    border: 2px solid var(--fill-color);\n",
              "    border-color: transparent;\n",
              "    border-bottom-color: var(--fill-color);\n",
              "    animation:\n",
              "      spin 1s steps(1) infinite;\n",
              "  }\n",
              "\n",
              "  @keyframes spin {\n",
              "    0% {\n",
              "      border-color: transparent;\n",
              "      border-bottom-color: var(--fill-color);\n",
              "      border-left-color: var(--fill-color);\n",
              "    }\n",
              "    20% {\n",
              "      border-color: transparent;\n",
              "      border-left-color: var(--fill-color);\n",
              "      border-top-color: var(--fill-color);\n",
              "    }\n",
              "    30% {\n",
              "      border-color: transparent;\n",
              "      border-left-color: var(--fill-color);\n",
              "      border-top-color: var(--fill-color);\n",
              "      border-right-color: var(--fill-color);\n",
              "    }\n",
              "    40% {\n",
              "      border-color: transparent;\n",
              "      border-right-color: var(--fill-color);\n",
              "      border-top-color: var(--fill-color);\n",
              "    }\n",
              "    60% {\n",
              "      border-color: transparent;\n",
              "      border-right-color: var(--fill-color);\n",
              "    }\n",
              "    80% {\n",
              "      border-color: transparent;\n",
              "      border-right-color: var(--fill-color);\n",
              "      border-bottom-color: var(--fill-color);\n",
              "    }\n",
              "    90% {\n",
              "      border-color: transparent;\n",
              "      border-bottom-color: var(--fill-color);\n",
              "    }\n",
              "  }\n",
              "</style>\n",
              "\n",
              "  <script>\n",
              "    async function quickchart(key) {\n",
              "      const quickchartButtonEl =\n",
              "        document.querySelector('#' + key + ' button');\n",
              "      quickchartButtonEl.disabled = true;  // To prevent multiple clicks.\n",
              "      quickchartButtonEl.classList.add('colab-df-spinner');\n",
              "      try {\n",
              "        const charts = await google.colab.kernel.invokeFunction(\n",
              "            'suggestCharts', [key], {});\n",
              "      } catch (error) {\n",
              "        console.error('Error during call to suggestCharts:', error);\n",
              "      }\n",
              "      quickchartButtonEl.classList.remove('colab-df-spinner');\n",
              "      quickchartButtonEl.classList.add('colab-df-quickchart-complete');\n",
              "    }\n",
              "    (() => {\n",
              "      let quickchartButtonEl =\n",
              "        document.querySelector('#df-b087f441-dd59-4af0-81da-6c3b9fe3d4a6 button');\n",
              "      quickchartButtonEl.style.display =\n",
              "        google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "    })();\n",
              "  </script>\n",
              "</div>\n",
              "\n",
              "    </div>\n",
              "  </div>\n"
            ],
            "application/vnd.google.colaboratory.intrinsic+json": {
              "type": "dataframe",
              "summary": "{\n  \"name\": \"daily_cumulative_returns\",\n  \"rows\": 5,\n  \"fields\": [\n    {\n      \"column\": \"Date\",\n      \"properties\": {\n        \"dtype\": \"date\",\n        \"min\": \"2024-05-02 00:00:00\",\n        \"max\": \"2024-05-08 00:00:00\",\n        \"num_unique_values\": 5,\n        \"samples\": [\n          \"2024-05-03 00:00:00\",\n          \"2024-05-08 00:00:00\",\n          \"2024-05-06 00:00:00\"\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"ARM\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": 0.03268724736387041,\n        \"min\": 0.7722007499181814,\n        \"max\": 0.8494208489566288,\n        \"num_unique_values\": 5,\n        \"samples\": [\n          0.8013552439807079,\n          0.835789115389434,\n          0.8429595797803437\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"META\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": 0.026126472997597343,\n        \"min\": 0.8989111370494823,\n        \"max\": 0.9618398295164574,\n        \"num_unique_values\": 5,\n        \"samples\": [\n          0.9198330840355401,\n          0.9618398295164574,\n          0.9477561552684173\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"SPY\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": 0.010174510968413989,\n        \"min\": 0.9671940109425183,\n        \"max\": 0.9904819002628732,\n        \"num_unique_values\": 5,\n        \"samples\": [\n          0.9791826927404093,\n          0.9904819002628732,\n          0.9892945340359032\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"TSLA\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": 0.02140969763814976,\n        \"min\": 0.9971464444896896,\n        \"max\": 1.0544458008199447,\n        \"num_unique_values\": 5,\n        \"samples\": [\n          1.0340714597597993,\n          0.9971464444896896,\n          1.0544458008199447\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    },\n    {\n      \"column\": \"Portfolio Returns\",\n      \"properties\": {\n        \"dtype\": \"number\",\n        \"std\": 0.01810684145461361,\n        \"min\": 0.9223596625037148,\n        \"max\": 0.9672162989216139,\n        \"num_unique_values\": 5,\n        \"samples\": [\n          0.940802335236565,\n          0.9557962381861789,\n          0.9672162989216139\n        ],\n        \"semantic_type\": \"\",\n        \"description\": \"\"\n      }\n    }\n  ]\n}"
            }
          },
          "metadata": {},
          "execution_count": 13
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "HwVTimnSY8Wd"
      },
      "execution_count": null,
      "outputs": []
    }
  ]
}