Bonds.ipynb

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        "<a href=\"https://colab.research.google.com/github/olesyamba/Risk_analysis/blob/main/Bonds.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
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      "source": [
        "# Для хранения, обработки данных и математических вычислений\n",
        "import numpy as np\n",
        "!pip install --upgrade pandas>=1.2\n",
        "import pandas as pd\n",
        "\n",
        "# Для Principal Component Analysis\n",
        "from sklearn.preprocessing import StandardScaler\n",
        "from sklearn.decomposition import PCA\n",
        "\n",
        "# Для калибровки распределения и генерации случайных величин\n",
        "import scipy.stats as ss\n",
        "from scipy.interpolate import interp1d\n",
        "\n",
        "# Для визуализации\n",
        "import matplotlib.pyplot as plt\n",
        "import seaborn as sns"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "x8uMOEvBH4Ls"
      },
      "source": [
        "#  Портфель облигации: ценообразование и меры чувствительности\n",
        "\n",
        "- Бескупонная облигации:\n",
        "\n",
        "  $B_t = N d(s) = N\\cdot e^{-y_t(s)\\cdot s}$, где  $N$ - номинал, $y_t(s)$ - процентна ставка непрерывного начисления (%/годовых), $s$ -срок до погашения в годах.\n",
        "\n",
        "  - Чувствительность доходности облигации к изменению ставки $\\frac{dB_t/B_t}{dr_t}$:\n",
        "    - $\\Delta  = -s = -D $, где $D$ - дюрация облигации.\n",
        "\n",
        "- Купонную облигацию можно представить в виде совокупности бескупонных облигаций:\n",
        "\n",
        "  $B_t = \\sum_{i = 1}^N CF_{t_i}\\cdot d(s_i) = \\sum_{i = 1}^N CF_{t_i}\\cdot e^{-y_t(s_i)\\cdot s_i}$, где $CF_{t_i}$ - выплата в момент времени $t_i$.\n",
        "\n",
        "  - Чувствительность к изменению параллельному сдвигу кривой  $\\frac{dB_t/B_t}{dh}$ при $y_t(s) \\mapsto y_t(s) + dh, \\forall s$:\n",
        "\n",
        "    - $\\Delta = -D =  - \\frac{\\sum\\limits_{i=1}^N s \\cdot CF_{t_i} \\cdot e^{-y_t(s_i) s_i}}{B_t}$\n"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Функция ценообразования облигации\n",
        "\n",
        "# Строим кривую доходности на заданную дату\n",
        "def get_curve(rates:pd.DataFrame, curr_date: np.datetime64):\n",
        "  rates_points = rates.loc[curr_date,:]\n",
        "  return interp1d(rates_points.index,\n",
        "                  rates_points.values/100,\n",
        "                  kind = 'linear',\n",
        "                  bounds_error = False,\n",
        "                  fill_value=(rates_points.values[0],rates_points.values[-1]))\n",
        "\n",
        "\n",
        "# Определяем потоки платежей по облигации\n",
        "def get_bond_CF(bond_spec: dict, curr_date: np.datetime64):\n",
        "  bond_CF ={\n",
        "            'terms': (bond_spec['dates'][bond_spec['dates'] >= curr_date] - np.datetime64(curr_date)).astype('float')/365,\n",
        "             'payments': bond_spec['payments'][bond_spec['dates'] >= curr_date],\n",
        "             'curr_date': curr_date\n",
        "  }\n",
        "  return bond_CF\n",
        "\n",
        "# Определяем стоимость облигации, как дисконтированный поток платежей\n",
        "def bond_pricing(bond_CF, curr_curve):\n",
        "  discount_factors = np.exp(- curr_curve (bond_CF['terms']) * bond_CF['terms'])\n",
        "  price = discount_factors @ bond_CF['payments']\n",
        "  duration = (bond_CF['payments']*discount_factors* bond_CF['terms']).sum()/price\n",
        "  return {'price':price,'discount_factors':discount_factors, 'payments':bond_CF['payments'], 'duration': duration }\n",
        ""
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      "execution_count": null,
      "outputs": []
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    {
      "cell_type": "markdown",
      "source": [
        "# Данные о кривых доходностях USA"
      ],
      "metadata": {
        "id": "QMsvcSXgdqtr"
      }
    },
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              "            BC_1MONTH  BC_3MONTH  BC_6MONTH  BC_1YEAR  BC_2YEAR  BC_3YEAR  \\\n",
              "date                                                                        \n",
              "2010-01-04       0.05       0.08       0.18      0.45      1.09      1.66   \n",
              "2010-01-05       0.03       0.07       0.17      0.41      1.01      1.57   \n",
              "2010-01-06       0.03       0.06       0.15      0.40      1.01      1.60   \n",
              "2010-01-07       0.02       0.05       0.16      0.40      1.03      1.62   \n",
              "2010-01-08       0.02       0.05       0.15      0.37      0.96      1.56   \n",
              "...               ...        ...        ...       ...       ...       ...   \n",
              "2022-03-07       0.17       0.38       0.75      1.07      1.55      1.68   \n",
              "2022-03-08       0.16       0.36       0.72      1.12      1.63      1.78   \n",
              "2022-03-09       0.18       0.38       0.75      1.15      1.68      1.83   \n",
              "2022-03-10       0.19       0.39       0.75      1.19      1.72      1.88   \n",
              "2022-03-11       0.17       0.40       0.78      1.22      1.75      1.91   \n",
              "\n",
              "            BC_5YEAR  BC_7YEAR  BC_10YEAR  BC_20YEAR  BC_30YEAR  \n",
              "date                                                             \n",
              "2010-01-04      2.65      3.36       3.85       4.60       4.65  \n",
              "2010-01-05      2.56      3.28       3.77       4.54       4.59  \n",
              "2010-01-06      2.60      3.33       3.85       4.63       4.70  \n",
              "2010-01-07      2.62      3.33       3.85       4.62       4.69  \n",
              "2010-01-08      2.57      3.31       3.83       4.61       4.70  \n",
              "...              ...       ...        ...        ...        ...  \n",
              "2022-03-07      1.71      1.77       1.78       2.29       2.19  \n",
              "2022-03-08      1.80      1.85       1.86       2.34       2.24  \n",
              "2022-03-09      1.87      1.92       1.94       2.38       2.29  \n",
              "2022-03-10      1.92      1.98       1.98       2.45       2.38  \n",
              "2022-03-11      1.96      2.01       2.00       2.45       2.36  \n",
              "\n",
              "[3051 rows x 11 columns]"
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              "      <th>BC_1MONTH</th>\n",
              "      <th>BC_3MONTH</th>\n",
              "      <th>BC_6MONTH</th>\n",
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              "      <th>BC_5YEAR</th>\n",
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              "      <th>BC_20YEAR</th>\n",
              "      <th>BC_30YEAR</th>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>date</th>\n",
              "      <th></th>\n",
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              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>2010-01-04</th>\n",
              "      <td>0.05</td>\n",
              "      <td>0.08</td>\n",
              "      <td>0.18</td>\n",
              "      <td>0.45</td>\n",
              "      <td>1.09</td>\n",
              "      <td>1.66</td>\n",
              "      <td>2.65</td>\n",
              "      <td>3.36</td>\n",
              "      <td>3.85</td>\n",
              "      <td>4.60</td>\n",
              "      <td>4.65</td>\n",
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              "    <tr>\n",
              "      <th>2010-01-05</th>\n",
              "      <td>0.03</td>\n",
              "      <td>0.07</td>\n",
              "      <td>0.17</td>\n",
              "      <td>0.41</td>\n",
              "      <td>1.01</td>\n",
              "      <td>1.57</td>\n",
              "      <td>2.56</td>\n",
              "      <td>3.28</td>\n",
              "      <td>3.77</td>\n",
              "      <td>4.54</td>\n",
              "      <td>4.59</td>\n",
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              "    <tr>\n",
              "      <th>2010-01-06</th>\n",
              "      <td>0.03</td>\n",
              "      <td>0.06</td>\n",
              "      <td>0.15</td>\n",
              "      <td>0.40</td>\n",
              "      <td>1.01</td>\n",
              "      <td>1.60</td>\n",
              "      <td>2.60</td>\n",
              "      <td>3.33</td>\n",
              "      <td>3.85</td>\n",
              "      <td>4.63</td>\n",
              "      <td>4.70</td>\n",
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              "    <tr>\n",
              "      <th>2010-01-07</th>\n",
              "      <td>0.02</td>\n",
              "      <td>0.05</td>\n",
              "      <td>0.16</td>\n",
              "      <td>0.40</td>\n",
              "      <td>1.03</td>\n",
              "      <td>1.62</td>\n",
              "      <td>2.62</td>\n",
              "      <td>3.33</td>\n",
              "      <td>3.85</td>\n",
              "      <td>4.62</td>\n",
              "      <td>4.69</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2010-01-08</th>\n",
              "      <td>0.02</td>\n",
              "      <td>0.05</td>\n",
              "      <td>0.15</td>\n",
              "      <td>0.37</td>\n",
              "      <td>0.96</td>\n",
              "      <td>1.56</td>\n",
              "      <td>2.57</td>\n",
              "      <td>3.31</td>\n",
              "      <td>3.83</td>\n",
              "      <td>4.61</td>\n",
              "      <td>4.70</td>\n",
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              "    <tr>\n",
              "      <th>...</th>\n",
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              "      <th>2022-03-07</th>\n",
              "      <td>0.17</td>\n",
              "      <td>0.38</td>\n",
              "      <td>0.75</td>\n",
              "      <td>1.07</td>\n",
              "      <td>1.55</td>\n",
              "      <td>1.68</td>\n",
              "      <td>1.71</td>\n",
              "      <td>1.77</td>\n",
              "      <td>1.78</td>\n",
              "      <td>2.29</td>\n",
              "      <td>2.19</td>\n",
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              "      <th>2022-03-08</th>\n",
              "      <td>0.16</td>\n",
              "      <td>0.36</td>\n",
              "      <td>0.72</td>\n",
              "      <td>1.12</td>\n",
              "      <td>1.63</td>\n",
              "      <td>1.78</td>\n",
              "      <td>1.80</td>\n",
              "      <td>1.85</td>\n",
              "      <td>1.86</td>\n",
              "      <td>2.34</td>\n",
              "      <td>2.24</td>\n",
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              "      <th>2022-03-09</th>\n",
              "      <td>0.18</td>\n",
              "      <td>0.38</td>\n",
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              "      <td>1.15</td>\n",
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              "      <th>2022-03-10</th>\n",
              "      <td>0.19</td>\n",
              "      <td>0.39</td>\n",
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              "      <td>2.45</td>\n",
              "      <td>2.38</td>\n",
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              "      <th>2022-03-11</th>\n",
              "      <td>0.17</td>\n",
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          "metadata": {}
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      ],
      "source": [
        "# Загрузим исторические данные о доходностях американских казначейских облигаций\n",
        "# -> Спасибо инициативному чуваку за удобный хаб! Первичный источник - US FRS.\n",
        "\n",
        "url = \"https://raw.githubusercontent.com/epogrebnyak/data-ust/master/ust.csv\"\n",
        "data = pd.read_csv(url, parse_dates=[\"date\"]).set_index(\"date\")\n",
        "rates = data.loc[data.index > '2010-01-01', data.columns[:-1]]\n",
        "display(rates)"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Технический момент: создадим вектор срочностей ставок (в годах)\n",
        "\n",
        "terms = pd.Series(np.array([ round(1/12,3), 3/12, 6/12, 1,   2,   3,   5,   7,   10,   20,   30]),\n",
        "                                  ['1m',   '3m', '6m', '1y','2y','3y','5y','7y','10y','20y','30y'])\n",
        "print(f'Вектор срочностей\\n{terms}')\n",
        "\n",
        "# Перенесем значения сроков к индексы столбцов  таблицы ставок\n",
        "rates.columns = terms.values\n",
        "display(rates)"
      ],
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          "text": [
            "Вектор срочностей\n",
            "1m      0.083\n",
            "3m      0.250\n",
            "6m      0.500\n",
            "1y      1.000\n",
            "2y      2.000\n",
            "3y      3.000\n",
            "5y      5.000\n",
            "7y      7.000\n",
            "10y    10.000\n",
            "20y    20.000\n",
            "30y    30.000\n",
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              "            0.083   0.250   0.500   1.000   2.000   3.000   5.000   7.000   \\\n",
              "date                                                                         \n",
              "2010-01-04    0.05    0.08    0.18    0.45    1.09    1.66    2.65    3.36   \n",
              "2010-01-05    0.03    0.07    0.17    0.41    1.01    1.57    2.56    3.28   \n",
              "2010-01-06    0.03    0.06    0.15    0.40    1.01    1.60    2.60    3.33   \n",
              "2010-01-07    0.02    0.05    0.16    0.40    1.03    1.62    2.62    3.33   \n",
              "2010-01-08    0.02    0.05    0.15    0.37    0.96    1.56    2.57    3.31   \n",
              "...            ...     ...     ...     ...     ...     ...     ...     ...   \n",
              "2022-03-07    0.17    0.38    0.75    1.07    1.55    1.68    1.71    1.77   \n",
              "2022-03-08    0.16    0.36    0.72    1.12    1.63    1.78    1.80    1.85   \n",
              "2022-03-09    0.18    0.38    0.75    1.15    1.68    1.83    1.87    1.92   \n",
              "2022-03-10    0.19    0.39    0.75    1.19    1.72    1.88    1.92    1.98   \n",
              "2022-03-11    0.17    0.40    0.78    1.22    1.75    1.91    1.96    2.01   \n",
              "\n",
              "            10.000  20.000  30.000  \n",
              "date                                \n",
              "2010-01-04    3.85    4.60    4.65  \n",
              "2010-01-05    3.77    4.54    4.59  \n",
              "2010-01-06    3.85    4.63    4.70  \n",
              "2010-01-07    3.85    4.62    4.69  \n",
              "2010-01-08    3.83    4.61    4.70  \n",
              "...            ...     ...     ...  \n",
              "2022-03-07    1.78    2.29    2.19  \n",
              "2022-03-08    1.86    2.34    2.24  \n",
              "2022-03-09    1.94    2.38    2.29  \n",
              "2022-03-10    1.98    2.45    2.38  \n",
              "2022-03-11    2.00    2.45    2.36  \n",
              "\n",
              "[3051 rows x 11 columns]"
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              "      <th></th>\n",
              "      <th>0.083</th>\n",
              "      <th>0.250</th>\n",
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              "      <th>1.000</th>\n",
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              "      <th>3.000</th>\n",
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              "      <th>7.000</th>\n",
              "      <th>10.000</th>\n",
              "      <th>20.000</th>\n",
              "      <th>30.000</th>\n",
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              "    <tr>\n",
              "      <th>date</th>\n",
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              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
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              "    <tr>\n",
              "      <th>2010-01-04</th>\n",
              "      <td>0.05</td>\n",
              "      <td>0.08</td>\n",
              "      <td>0.18</td>\n",
              "      <td>0.45</td>\n",
              "      <td>1.09</td>\n",
              "      <td>1.66</td>\n",
              "      <td>2.65</td>\n",
              "      <td>3.36</td>\n",
              "      <td>3.85</td>\n",
              "      <td>4.60</td>\n",
              "      <td>4.65</td>\n",
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              "    <tr>\n",
              "      <th>2010-01-05</th>\n",
              "      <td>0.03</td>\n",
              "      <td>0.07</td>\n",
              "      <td>0.17</td>\n",
              "      <td>0.41</td>\n",
              "      <td>1.01</td>\n",
              "      <td>1.57</td>\n",
              "      <td>2.56</td>\n",
              "      <td>3.28</td>\n",
              "      <td>3.77</td>\n",
              "      <td>4.54</td>\n",
              "      <td>4.59</td>\n",
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              "    <tr>\n",
              "      <th>2010-01-06</th>\n",
              "      <td>0.03</td>\n",
              "      <td>0.06</td>\n",
              "      <td>0.15</td>\n",
              "      <td>0.40</td>\n",
              "      <td>1.01</td>\n",
              "      <td>1.60</td>\n",
              "      <td>2.60</td>\n",
              "      <td>3.33</td>\n",
              "      <td>3.85</td>\n",
              "      <td>4.63</td>\n",
              "      <td>4.70</td>\n",
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              "    <tr>\n",
              "      <th>2010-01-07</th>\n",
              "      <td>0.02</td>\n",
              "      <td>0.05</td>\n",
              "      <td>0.16</td>\n",
              "      <td>0.40</td>\n",
              "      <td>1.03</td>\n",
              "      <td>1.62</td>\n",
              "      <td>2.62</td>\n",
              "      <td>3.33</td>\n",
              "      <td>3.85</td>\n",
              "      <td>4.62</td>\n",
              "      <td>4.69</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2010-01-08</th>\n",
              "      <td>0.02</td>\n",
              "      <td>0.05</td>\n",
              "      <td>0.15</td>\n",
              "      <td>0.37</td>\n",
              "      <td>0.96</td>\n",
              "      <td>1.56</td>\n",
              "      <td>2.57</td>\n",
              "      <td>3.31</td>\n",
              "      <td>3.83</td>\n",
              "      <td>4.61</td>\n",
              "      <td>4.70</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>...</th>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
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              "    <tr>\n",
              "      <th>2022-03-07</th>\n",
              "      <td>0.17</td>\n",
              "      <td>0.38</td>\n",
              "      <td>0.75</td>\n",
              "      <td>1.07</td>\n",
              "      <td>1.55</td>\n",
              "      <td>1.68</td>\n",
              "      <td>1.71</td>\n",
              "      <td>1.77</td>\n",
              "      <td>1.78</td>\n",
              "      <td>2.29</td>\n",
              "      <td>2.19</td>\n",
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              "    <tr>\n",
              "      <th>2022-03-08</th>\n",
              "      <td>0.16</td>\n",
              "      <td>0.36</td>\n",
              "      <td>0.72</td>\n",
              "      <td>1.12</td>\n",
              "      <td>1.63</td>\n",
              "      <td>1.78</td>\n",
              "      <td>1.80</td>\n",
              "      <td>1.85</td>\n",
              "      <td>1.86</td>\n",
              "      <td>2.34</td>\n",
              "      <td>2.24</td>\n",
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              "    <tr>\n",
              "      <th>2022-03-09</th>\n",
              "      <td>0.18</td>\n",
              "      <td>0.38</td>\n",
              "      <td>0.75</td>\n",
              "      <td>1.15</td>\n",
              "      <td>1.68</td>\n",
              "      <td>1.83</td>\n",
              "      <td>1.87</td>\n",
              "      <td>1.92</td>\n",
              "      <td>1.94</td>\n",
              "      <td>2.38</td>\n",
              "      <td>2.29</td>\n",
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              "    <tr>\n",
              "      <th>2022-03-10</th>\n",
              "      <td>0.19</td>\n",
              "      <td>0.39</td>\n",
              "      <td>0.75</td>\n",
              "      <td>1.19</td>\n",
              "      <td>1.72</td>\n",
              "      <td>1.88</td>\n",
              "      <td>1.92</td>\n",
              "      <td>1.98</td>\n",
              "      <td>1.98</td>\n",
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              "      <td>2.38</td>\n",
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              "      <th>2022-03-11</th>\n",
              "      <td>0.17</td>\n",
              "      <td>0.40</td>\n",
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              "      <td>1.75</td>\n",
              "      <td>1.91</td>\n",
              "      <td>1.96</td>\n",
              "      <td>2.01</td>\n",
              "      <td>2.00</td>\n",
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    },
    {
      "cell_type": "code",
      "source": [
        "# Зададим спецификации облигации: размеры и даты потоков платежей\n",
        "bond = {\n",
        "     'dates':     np.array(['2020-04-13', '2020-10-13', '2021-04-13', '2021-10-13', '2022-04-13', '2022-10-13'], dtype='datetime64'),\n",
        "     'payments': np.array([ 0.025,        0.025,       0.025,         0.025,        0.025,        1.025])\n",
        "      }\n",
        "\n",
        "# Зададим дату ценообразования обигации\n",
        "curr_date = np.datetime64('2020-04-06')\n",
        "\n",
        "# Посмотрим на кривую доходности для выбранной даты\n",
        "curr_curve = get_curve(rates, curr_date)\n",
        "print(f'Кривая доходности на {curr_date}:\\n{pd.Series(curr_curve(terms), terms.index)}')\n",
        "\n",
        "bond_CF = get_bond_CF(bond, curr_date)\n",
        "print(f\"\\nПотоки платежей на {curr_date}:\\n{pd.Series(bond_CF['payments'], bond_CF['terms'])}\")\n",
        "\n",
        "# Оценим стоимость облигации и ее чувствительность к параллельному сдвигу кривой доходности\n",
        "bond_price = bond_pricing(get_bond_CF(bond, curr_date), curr_curve)\n",
        "\n",
        "print(f\"\\nКоэффициенты дисконтирования на {curr_date}:\\n{bond_price['discount_factors']}\")\n",
        "print(f\"\\nДисконтированные потоки на {curr_date}:\\n{bond_price['discount_factors']*bond_price['payments']}\")\n",
        "print(\"\\nCтоимость облигации на {:}: {:.4f}\".format(curr_date, bond_price['price']))\n",
        "print(\"\\nЧувствительность (-1 * Дюрация) облигации на {:}: {:.4f}\".format(curr_date, - bond_price['duration']))\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "_0UZcGFmb3Xb",
        "outputId": "7a004584-6e97-4c78-cb64-c5fb3a3495c6"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Кривая доходности на 2020-04-06:\n",
            "1m     0.0009\n",
            "3m     0.0015\n",
            "6m     0.0017\n",
            "1y     0.0020\n",
            "2y     0.0027\n",
            "3y     0.0035\n",
            "5y     0.0044\n",
            "7y     0.0058\n",
            "10y    0.0067\n",
            "20y    0.0108\n",
            "30y    0.0127\n",
            "dtype: float64\n",
            "\n",
            "Потоки платежей на 2020-04-06:\n",
            "0.019178    0.025\n",
            "0.520548    0.025\n",
            "1.019178    0.025\n",
            "1.520548    0.025\n",
            "2.019178    0.025\n",
            "2.520548    1.025\n",
            "dtype: float64\n",
            "\n",
            "Коэффициенты дисконтирования на 2020-04-06:\n",
            "[0.99827546 0.99910905 0.99795007 0.9964113  0.99453224 0.99217564]\n",
            "\n",
            "Дисконтированные потоки на 2020-04-06:\n",
            "[0.02495689 0.02497773 0.02494875 0.02491028 0.02486331 1.01698003]\n",
            "\n",
            "Cтоимость облигации на 2020-04-06: 1.1416\n",
            "\n",
            "Чувствительность (-1 * Дюрация) облигации на 2020-04-06: -2.3566\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Анализ динамики кривых доходностей\n",
        "\n",
        "Особенности:\n",
        "\n",
        " - зависимость - особая корреляционная структура\n",
        " - случайность ограничена сохранением формы (гладкости) кривой доходности  "
      ],
      "metadata": {
        "id": "ustieFKKd2hq"
      }
    },
    {
      "cell_type": "code",
      "execution_count": null,
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        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 410
        },
        "id": "YmTxvYVXM-Ha",
        "outputId": "4a4fe59a-0955-4b9e-f744-a6ea1e8f176e"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1296x432 with 2 Axes>"
            ],
            "image/png": 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          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "# Изобразим кривую доходности и ее изменения во времени\n",
        "date1 = np.datetime64('2015-04-06') #\n",
        "date2 = rates.index[rates.index.get_loc(date1) + 1]\n",
        "\n",
        "fig, ax = plt.subplots(1, 2, figsize = (18, 6))\n",
        "\n",
        "# Кривые доходности в последовательные даты\n",
        "curve_plot = ax[0]\n",
        "curve_plot.plot(terms, rates.loc[date1, :], 'b.-', label = date1)\n",
        "curve_plot.plot(terms, rates.loc[date2, :], 'r.-', label = date2)\n",
        "curve_plot.grid()\n",
        "curve_plot.set_xlabel(r'Срок $s$, в годах')\n",
        "curve_plot.set_ylabel('Ставки, в %')\n",
        "curve_plot.set_title(r'Кривая доходности, как функция от срока: $r_t(s)$ ')\n",
        "curve_plot.legend()\n",
        "\n",
        "# График дневных приращений ставок разных сроков\n",
        "diff_plot = ax[1]\n",
        "diff_plot.bar(terms, 100*(rates.loc[date2, :] - rates.loc[date1, :]), color = 'red', label = date2)\n",
        "diff_plot.set_xlabel(r'Срок $s$, в годах')\n",
        "diff_plot.set_ylabel('Приращения ставок, в bp')\n",
        "diff_plot.set_title(r'Приращения процентных ставок: $r_t(s) - r_{t-1}(s)$')\n",
        "diff_plot.grid()\n",
        "diff_plot.legend()\n",
        "\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Изучим приращения\n",
        "# Вычислим их\n",
        "rates_diff = rates.diff().dropna()\n",
        "\n",
        "# Составим графики для краткосрочных, среднесрочных и долгосрочных ставок\n",
        "sns.pairplot(rates_diff.loc[:,[0.083, 0.5, 1, 5, 20]])\n",
        "\n",
        "# Рассмотрим корреляционную матрицу\n",
        "corr_m = rates_diff.corr()\n",
        "corr_m.style.background_gradient(cmap='coolwarm').set_precision(2)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "S8iB2lkdtJtK",
        "outputId": "e455e335-fdb8-4dc3-ca0f-395610d978c4"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:10: FutureWarning: this method is deprecated in favour of `Styler.format(precision=..)`\n",
            "  # Remove the CWD from sys.path while we load stuff.\n"
          ]
        },
        {
          "output_type": "execute_result",
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              "}\n",
              "#T_64142_row2_col7 {\n",
              "  background-color: #89acfd;\n",
              "  color: #000000;\n",
              "}\n",
              "#T_64142_row2_col8 {\n",
              "  background-color: #82a6fb;\n",
              "  color: #f1f1f1;\n",
              "}\n",
              "#T_64142_row2_col9 {\n",
              "  background-color: #779af7;\n",
              "  color: #f1f1f1;\n",
              "}\n",
              "#T_64142_row3_col0 {\n",
              "  background-color: #7093f3;\n",
              "  color: #f1f1f1;\n",
              "}\n",
              "#T_64142_row3_col2 {\n",
              "  background-color: #e1dad6;\n",
              "  color: #000000;\n",
              "}\n",
              "#T_64142_row3_col4 {\n",
              "  background-color: #f4c6af;\n",
              "  color: #000000;\n",
              "}\n",
              "#T_64142_row3_col5, #T_64142_row4_col3 {\n",
              "  background-color: #edd1c2;\n",
              "  color: #000000;\n",
              "}\n",
              "#T_64142_row3_col6 {\n",
              "  background-color: #d9dce1;\n",
              "  color: #000000;\n",
              "}\n",
              "#T_64142_row3_col7 {\n",
              "  background-color: #cbd8ee;\n",
              "  color: #000000;\n",
              "}\n",
              "#T_64142_row3_col8 {\n",
              "  background-color: #bed2f6;\n",
              "  color: #000000;\n",
              "}\n",
              "#T_64142_row3_col9 {\n",
              "  background-color: #a9c6fd;\n",
              "  color: #000000;\n",
              "}\n",
              "#T_64142_row3_col10 {\n",
              "  background-color: #a2c1ff;\n",
              "  color: #000000;\n",
              "}\n",
              "#T_64142_row4_col0 {\n",
              "  background-color: #4c66d6;\n",
              "  color: #f1f1f1;\n",
              "}\n",
              "#T_64142_row4_col1 {\n",
              "  background-color: #6a8bef;\n",
              "  color: #f1f1f1;\n",
              "}\n",
              "#T_64142_row4_col5, #T_64142_row5_col4 {\n",
              "  background-color: #d95847;\n",
              "  color: #f1f1f1;\n",
              "}\n",
              "#T_64142_row4_col6 {\n",
              "  background-color: #eb7d62;\n",
              "  color: #f1f1f1;\n",
              "}\n",
              "#T_64142_row4_col7 {\n",
              "  background-color: #f59c7d;\n",
              "  color: #000000;\n",
              "}\n",
              "#T_64142_row4_col8 {\n",
              "  background-color: #f7b497;\n",
              "  color: #000000;\n",
              "}\n",
              "#T_64142_row4_col9 {\n",
              "  background-color: #eed0c0;\n",
              "  color: #000000;\n",
              "}\n",
              "#T_64142_row4_col10 {\n",
              "  background-color: #e5d8d1;\n",
              "  color: #000000;\n",
              "}\n",
              "#T_64142_row5_col0 {\n",
              "  background-color: #465ecf;\n",
              "  color: #f1f1f1;\n",
              "}\n",
              "#T_64142_row5_col2 {\n",
              "  background-color: #7a9df8;\n",
              "  color: #f1f1f1;\n",
              "}\n",
              "#T_64142_row5_col3, #T_64142_row10_col4 {\n",
              "  background-color: #dedcdb;\n",
              "  color: #000000;\n",
              "}\n",
              "#T_64142_row5_col6, #T_64142_row8_col10, #T_64142_row10_col8 {\n",
              "  background-color: #cd423b;\n",
              "  color: #f1f1f1;\n",
              "}\n",
              "#T_64142_row5_col7 {\n",
              "  background-color: #df634e;\n",
              "  color: #f1f1f1;\n",
              "}\n",
              "#T_64142_row5_col8, #T_64142_row6_col4 {\n",
              "  background-color: #ed8366;\n",
              "  color: #f1f1f1;\n",
              "}\n",
              "#T_64142_row5_col9 {\n",
              "  background-color: #f7af91;\n",
              "  color: #000000;\n",
              "}\n",
              "#T_64142_row5_col10 {\n",
              "  background-color: #f6bea4;\n",
              "  color: #000000;\n",
              "}\n",
              "#T_64142_row6_col0, #T_64142_row10_col0 {\n",
              "  background-color: #3d50c3;\n",
              "  color: #f1f1f1;\n",
              "}\n",
              "#T_64142_row6_col1, #T_64142_row8_col2 {\n",
              "  background-color: #4a63d3;\n",
              "  color: #f1f1f1;\n",
              "}\n",
              "#T_64142_row6_col2 {\n",
              "  background-color: #5e7de7;\n",
              "  color: #f1f1f1;\n",
              "}\n",
              "#T_64142_row6_col3 {\n",
              "  background-color: #bcd2f7;\n",
              "  color: #000000;\n",
              "}\n",
              "#T_64142_row6_col5 {\n",
              "  background-color: #cf453c;\n",
              "  color: #f1f1f1;\n",
              "}\n",
              "#T_64142_row6_col7, #T_64142_row7_col6 {\n",
              "  background-color: #c0282f;\n",
              "  color: #f1f1f1;\n",
              "}\n",
              "#T_64142_row6_col8, #T_64142_row8_col6 {\n",
              "  background-color: #d0473d;\n",
              "  color: #f1f1f1;\n",
              "}\n",
              "#T_64142_row6_col9 {\n",
              "  background-color: #e9785d;\n",
              "  color: #f1f1f1;\n",
              "}\n",
              "#T_64142_row6_col10, #T_64142_row10_col6 {\n",
              "  background-color: #f18f71;\n",
              "  color: #f1f1f1;\n",
              "}\n",
              "#T_64142_row7_col1 {\n",
              "  background-color: #4257c9;\n",
              "  color: #f1f1f1;\n",
              "}\n",
              "#T_64142_row7_col2 {\n",
              "  background-color: #506bda;\n",
              "  color: #f1f1f1;\n",
              "}\n",
              "#T_64142_row7_col3 {\n",
              "  background-color: #a6c4fe;\n",
              "  color: #000000;\n",
              "}\n",
              "#T_64142_row7_col4 {\n",
              "  background-color: #f6a283;\n",
              "  color: #000000;\n",
              "}\n",
              "#T_64142_row7_col5, #T_64142_row10_col7 {\n",
              "  background-color: #e0654f;\n",
              "  color: #f1f1f1;\n",
              "}\n",
              "#T_64142_row7_col8, #T_64142_row8_col7 {\n",
              "  background-color: #be242e;\n",
              "  color: #f1f1f1;\n",
              "}\n",
              "#T_64142_row7_col9, #T_64142_row9_col7 {\n",
              "  background-color: #d55042;\n",
              "  color: #f1f1f1;\n",
              "}\n",
              "#T_64142_row7_col10 {\n",
              "  background-color: #e16751;\n",
              "  color: #f1f1f1;\n",
              "}\n",
              "#T_64142_row8_col0, #T_64142_row9_col0 {\n",
              "  background-color: #3c4ec2;\n",
              "  color: #f1f1f1;\n",
              "}\n",
              "#T_64142_row8_col1 {\n",
              "  background-color: #4055c8;\n",
              "  color: #f1f1f1;\n",
              "}\n",
              "#T_64142_row8_col4 {\n",
              "  background-color: #f7ba9f;\n",
              "  color: #000000;\n",
              "}\n",
              "#T_64142_row8_col5 {\n",
              "  background-color: #ee8669;\n",
              "  color: #f1f1f1;\n",
              "}\n",
              "#T_64142_row8_col9, #T_64142_row9_col8 {\n",
              "  background-color: #c43032;\n",
              "  color: #f1f1f1;\n",
              "}\n",
              "#T_64142_row9_col2 {\n",
              "  background-color: #3e51c5;\n",
              "  color: #f1f1f1;\n",
              "}\n",
              "#T_64142_row9_col3 {\n",
              "  background-color: #7b9ff9;\n",
              "  color: #f1f1f1;\n",
              "}\n",
              "#T_64142_row9_col4 {\n",
              "  background-color: #e9d5cb;\n",
              "  color: #000000;\n",
              "}\n",
              "#T_64142_row9_col5 {\n",
              "  background-color: #f7b396;\n",
              "  color: #000000;\n",
              "}\n",
              "#T_64142_row9_col6 {\n",
              "  background-color: #e97a5f;\n",
              "  color: #f1f1f1;\n",
              "}\n",
              "#T_64142_row9_col10, #T_64142_row10_col9 {\n",
              "  background-color: #bb1b2c;\n",
              "  color: #f1f1f1;\n",
              "}\n",
              "#T_64142_row10_col3 {\n",
              "  background-color: #7396f5;\n",
              "  color: #f1f1f1;\n",
              "}\n",
              "#T_64142_row10_col5 {\n",
              "  background-color: #f5c1a9;\n",
              "  color: #000000;\n",
              "}\n",
              "</style>\n",
              "<table id=\"T_64142_\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr>\n",
              "      <th class=\"blank level0\" >&nbsp;</th>\n",
              "      <th class=\"col_heading level0 col0\" >0.083</th>\n",
              "      <th class=\"col_heading level0 col1\" >0.25</th>\n",
              "      <th class=\"col_heading level0 col2\" >0.5</th>\n",
              "      <th class=\"col_heading level0 col3\" >1.0</th>\n",
              "      <th class=\"col_heading level0 col4\" >2.0</th>\n",
              "      <th class=\"col_heading level0 col5\" >3.0</th>\n",
              "      <th class=\"col_heading level0 col6\" >5.0</th>\n",
              "      <th class=\"col_heading level0 col7\" >7.0</th>\n",
              "      <th class=\"col_heading level0 col8\" >10.0</th>\n",
              "      <th class=\"col_heading level0 col9\" >20.0</th>\n",
              "      <th class=\"col_heading level0 col10\" >30.0</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th id=\"T_64142_level0_row0\" class=\"row_heading level0 row0\" >0.083</th>\n",
              "      <td id=\"T_64142_row0_col0\" class=\"data row0 col0\" >1.00</td>\n",
              "      <td id=\"T_64142_row0_col1\" class=\"data row0 col1\" >0.37</td>\n",
              "      <td id=\"T_64142_row0_col2\" class=\"data row0 col2\" >0.28</td>\n",
              "      <td id=\"T_64142_row0_col3\" class=\"data row0 col3\" >0.20</td>\n",
              "      <td id=\"T_64142_row0_col4\" class=\"data row0 col4\" >0.10</td>\n",
              "      <td id=\"T_64142_row0_col5\" class=\"data row0 col5\" >0.08</td>\n",
              "      <td id=\"T_64142_row0_col6\" class=\"data row0 col6\" >0.05</td>\n",
              "      <td id=\"T_64142_row0_col7\" class=\"data row0 col7\" >0.04</td>\n",
              "      <td id=\"T_64142_row0_col8\" class=\"data row0 col8\" >0.05</td>\n",
              "      <td id=\"T_64142_row0_col9\" class=\"data row0 col9\" >0.05</td>\n",
              "      <td id=\"T_64142_row0_col10\" class=\"data row0 col10\" >0.05</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th id=\"T_64142_level0_row1\" class=\"row_heading level0 row1\" >0.25</th>\n",
              "      <td id=\"T_64142_row1_col0\" class=\"data row1 col0\" >0.37</td>\n",
              "      <td id=\"T_64142_row1_col1\" class=\"data row1 col1\" >1.00</td>\n",
              "      <td id=\"T_64142_row1_col2\" class=\"data row1 col2\" >0.62</td>\n",
              "      <td id=\"T_64142_row1_col3\" class=\"data row1 col3\" >0.43</td>\n",
              "      <td id=\"T_64142_row1_col4\" class=\"data row1 col4\" >0.26</td>\n",
              "      <td id=\"T_64142_row1_col5\" class=\"data row1 col5\" >0.22</td>\n",
              "      <td id=\"T_64142_row1_col6\" class=\"data row1 col6\" >0.17</td>\n",
              "      <td id=\"T_64142_row1_col7\" class=\"data row1 col7\" >0.15</td>\n",
              "      <td id=\"T_64142_row1_col8\" class=\"data row1 col8\" >0.15</td>\n",
              "      <td id=\"T_64142_row1_col9\" class=\"data row1 col9\" >0.13</td>\n",
              "      <td id=\"T_64142_row1_col10\" class=\"data row1 col10\" >0.13</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th id=\"T_64142_level0_row2\" class=\"row_heading level0 row2\" >0.5</th>\n",
              "      <td id=\"T_64142_row2_col0\" class=\"data row2 col0\" >0.28</td>\n",
              "      <td id=\"T_64142_row2_col1\" class=\"data row2 col1\" >0.62</td>\n",
              "      <td id=\"T_64142_row2_col2\" class=\"data row2 col2\" >1.00</td>\n",
              "      <td id=\"T_64142_row2_col3\" class=\"data row2 col3\" >0.62</td>\n",
              "      <td id=\"T_64142_row2_col4\" class=\"data row2 col4\" >0.42</td>\n",
              "      <td id=\"T_64142_row2_col5\" class=\"data row2 col5\" >0.37</td>\n",
              "      <td id=\"T_64142_row2_col6\" class=\"data row2 col6\" >0.31</td>\n",
              "      <td id=\"T_64142_row2_col7\" class=\"data row2 col7\" >0.27</td>\n",
              "      <td id=\"T_64142_row2_col8\" class=\"data row2 col8\" >0.26</td>\n",
              "      <td id=\"T_64142_row2_col9\" class=\"data row2 col9\" >0.23</td>\n",
              "      <td id=\"T_64142_row2_col10\" class=\"data row2 col10\" >0.22</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th id=\"T_64142_level0_row3\" class=\"row_heading level0 row3\" >1.0</th>\n",
              "      <td id=\"T_64142_row3_col0\" class=\"data row3 col0\" >0.20</td>\n",
              "      <td id=\"T_64142_row3_col1\" class=\"data row3 col1\" >0.43</td>\n",
              "      <td id=\"T_64142_row3_col2\" class=\"data row3 col2\" >0.62</td>\n",
              "      <td id=\"T_64142_row3_col3\" class=\"data row3 col3\" >1.00</td>\n",
              "      <td id=\"T_64142_row3_col4\" class=\"data row3 col4\" >0.66</td>\n",
              "      <td id=\"T_64142_row3_col5\" class=\"data row3 col5\" >0.61</td>\n",
              "      <td id=\"T_64142_row3_col6\" class=\"data row3 col6\" >0.51</td>\n",
              "      <td id=\"T_64142_row3_col7\" class=\"data row3 col7\" >0.46</td>\n",
              "      <td id=\"T_64142_row3_col8\" class=\"data row3 col8\" >0.42</td>\n",
              "      <td id=\"T_64142_row3_col9\" class=\"data row3 col9\" >0.36</td>\n",
              "      <td id=\"T_64142_row3_col10\" class=\"data row3 col10\" >0.34</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th id=\"T_64142_level0_row4\" class=\"row_heading level0 row4\" >2.0</th>\n",
              "      <td id=\"T_64142_row4_col0\" class=\"data row4 col0\" >0.10</td>\n",
              "      <td id=\"T_64142_row4_col1\" class=\"data row4 col1\" >0.26</td>\n",
              "      <td id=\"T_64142_row4_col2\" class=\"data row4 col2\" >0.42</td>\n",
              "      <td id=\"T_64142_row4_col3\" class=\"data row4 col3\" >0.66</td>\n",
              "      <td id=\"T_64142_row4_col4\" class=\"data row4 col4\" >1.00</td>\n",
              "      <td id=\"T_64142_row4_col5\" class=\"data row4 col5\" >0.90</td>\n",
              "      <td id=\"T_64142_row4_col6\" class=\"data row4 col6\" >0.82</td>\n",
              "      <td id=\"T_64142_row4_col7\" class=\"data row4 col7\" >0.75</td>\n",
              "      <td id=\"T_64142_row4_col8\" class=\"data row4 col8\" >0.69</td>\n",
              "      <td id=\"T_64142_row4_col9\" class=\"data row4 col9\" >0.59</td>\n",
              "      <td id=\"T_64142_row4_col10\" class=\"data row4 col10\" >0.56</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th id=\"T_64142_level0_row5\" class=\"row_heading level0 row5\" >3.0</th>\n",
              "      <td id=\"T_64142_row5_col0\" class=\"data row5 col0\" >0.08</td>\n",
              "      <td id=\"T_64142_row5_col1\" class=\"data row5 col1\" >0.22</td>\n",
              "      <td id=\"T_64142_row5_col2\" class=\"data row5 col2\" >0.37</td>\n",
              "      <td id=\"T_64142_row5_col3\" class=\"data row5 col3\" >0.61</td>\n",
              "      <td id=\"T_64142_row5_col4\" class=\"data row5 col4\" >0.90</td>\n",
              "      <td id=\"T_64142_row5_col5\" class=\"data row5 col5\" >1.00</td>\n",
              "      <td id=\"T_64142_row5_col6\" class=\"data row5 col6\" >0.93</td>\n",
              "      <td id=\"T_64142_row5_col7\" class=\"data row5 col7\" >0.87</td>\n",
              "      <td id=\"T_64142_row5_col8\" class=\"data row5 col8\" >0.81</td>\n",
              "      <td id=\"T_64142_row5_col9\" class=\"data row5 col9\" >0.71</td>\n",
              "      <td id=\"T_64142_row5_col10\" class=\"data row5 col10\" >0.66</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th id=\"T_64142_level0_row6\" class=\"row_heading level0 row6\" >5.0</th>\n",
              "      <td id=\"T_64142_row6_col0\" class=\"data row6 col0\" >0.05</td>\n",
              "      <td id=\"T_64142_row6_col1\" class=\"data row6 col1\" >0.17</td>\n",
              "      <td id=\"T_64142_row6_col2\" class=\"data row6 col2\" >0.31</td>\n",
              "      <td id=\"T_64142_row6_col3\" class=\"data row6 col3\" >0.51</td>\n",
              "      <td id=\"T_64142_row6_col4\" class=\"data row6 col4\" >0.82</td>\n",
              "      <td id=\"T_64142_row6_col5\" class=\"data row6 col5\" >0.93</td>\n",
              "      <td id=\"T_64142_row6_col6\" class=\"data row6 col6\" >1.00</td>\n",
              "      <td id=\"T_64142_row6_col7\" class=\"data row6 col7\" >0.97</td>\n",
              "      <td id=\"T_64142_row6_col8\" class=\"data row6 col8\" >0.92</td>\n",
              "      <td id=\"T_64142_row6_col9\" class=\"data row6 col9\" >0.83</td>\n",
              "      <td id=\"T_64142_row6_col10\" class=\"data row6 col10\" >0.79</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th id=\"T_64142_level0_row7\" class=\"row_heading level0 row7\" >7.0</th>\n",
              "      <td id=\"T_64142_row7_col0\" class=\"data row7 col0\" >0.04</td>\n",
              "      <td id=\"T_64142_row7_col1\" class=\"data row7 col1\" >0.15</td>\n",
              "      <td id=\"T_64142_row7_col2\" class=\"data row7 col2\" >0.27</td>\n",
              "      <td id=\"T_64142_row7_col3\" class=\"data row7 col3\" >0.46</td>\n",
              "      <td id=\"T_64142_row7_col4\" class=\"data row7 col4\" >0.75</td>\n",
              "      <td id=\"T_64142_row7_col5\" class=\"data row7 col5\" >0.87</td>\n",
              "      <td id=\"T_64142_row7_col6\" class=\"data row7 col6\" >0.97</td>\n",
              "      <td id=\"T_64142_row7_col7\" class=\"data row7 col7\" >1.00</td>\n",
              "      <td id=\"T_64142_row7_col8\" class=\"data row7 col8\" >0.97</td>\n",
              "      <td id=\"T_64142_row7_col9\" class=\"data row7 col9\" >0.91</td>\n",
              "      <td id=\"T_64142_row7_col10\" class=\"data row7 col10\" >0.87</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th id=\"T_64142_level0_row8\" class=\"row_heading level0 row8\" >10.0</th>\n",
              "      <td id=\"T_64142_row8_col0\" class=\"data row8 col0\" >0.05</td>\n",
              "      <td id=\"T_64142_row8_col1\" class=\"data row8 col1\" >0.15</td>\n",
              "      <td id=\"T_64142_row8_col2\" class=\"data row8 col2\" >0.26</td>\n",
              "      <td id=\"T_64142_row8_col3\" class=\"data row8 col3\" >0.42</td>\n",
              "      <td id=\"T_64142_row8_col4\" class=\"data row8 col4\" >0.69</td>\n",
              "      <td id=\"T_64142_row8_col5\" class=\"data row8 col5\" >0.81</td>\n",
              "      <td id=\"T_64142_row8_col6\" class=\"data row8 col6\" >0.92</td>\n",
              "      <td id=\"T_64142_row8_col7\" class=\"data row8 col7\" >0.97</td>\n",
              "      <td id=\"T_64142_row8_col8\" class=\"data row8 col8\" >1.00</td>\n",
              "      <td id=\"T_64142_row8_col9\" class=\"data row8 col9\" >0.96</td>\n",
              "      <td id=\"T_64142_row8_col10\" class=\"data row8 col10\" >0.93</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th id=\"T_64142_level0_row9\" class=\"row_heading level0 row9\" >20.0</th>\n",
              "      <td id=\"T_64142_row9_col0\" class=\"data row9 col0\" >0.05</td>\n",
              "      <td id=\"T_64142_row9_col1\" class=\"data row9 col1\" >0.13</td>\n",
              "      <td id=\"T_64142_row9_col2\" class=\"data row9 col2\" >0.23</td>\n",
              "      <td id=\"T_64142_row9_col3\" class=\"data row9 col3\" >0.36</td>\n",
              "      <td id=\"T_64142_row9_col4\" class=\"data row9 col4\" >0.59</td>\n",
              "      <td id=\"T_64142_row9_col5\" class=\"data row9 col5\" >0.71</td>\n",
              "      <td id=\"T_64142_row9_col6\" class=\"data row9 col6\" >0.83</td>\n",
              "      <td id=\"T_64142_row9_col7\" class=\"data row9 col7\" >0.91</td>\n",
              "      <td id=\"T_64142_row9_col8\" class=\"data row9 col8\" >0.96</td>\n",
              "      <td id=\"T_64142_row9_col9\" class=\"data row9 col9\" >1.00</td>\n",
              "      <td id=\"T_64142_row9_col10\" class=\"data row9 col10\" >0.98</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th id=\"T_64142_level0_row10\" class=\"row_heading level0 row10\" >30.0</th>\n",
              "      <td id=\"T_64142_row10_col0\" class=\"data row10 col0\" >0.05</td>\n",
              "      <td id=\"T_64142_row10_col1\" class=\"data row10 col1\" >0.13</td>\n",
              "      <td id=\"T_64142_row10_col2\" class=\"data row10 col2\" >0.22</td>\n",
              "      <td id=\"T_64142_row10_col3\" class=\"data row10 col3\" >0.34</td>\n",
              "      <td id=\"T_64142_row10_col4\" class=\"data row10 col4\" >0.56</td>\n",
              "      <td id=\"T_64142_row10_col5\" class=\"data row10 col5\" >0.66</td>\n",
              "      <td id=\"T_64142_row10_col6\" class=\"data row10 col6\" >0.79</td>\n",
              "      <td id=\"T_64142_row10_col7\" class=\"data row10 col7\" >0.87</td>\n",
              "      <td id=\"T_64142_row10_col8\" class=\"data row10 col8\" >0.93</td>\n",
              "      <td id=\"T_64142_row10_col9\" class=\"data row10 col9\" >0.98</td>\n",
              "      <td id=\"T_64142_row10_col10\" class=\"data row10 col10\" >1.00</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n"
            ]
          },
          "metadata": {},
          "execution_count": 15
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 900x900 with 30 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Моделирование риск-факторов\n",
        "\n",
        "Примечание: динамика стоимости облигаций имеет детерминированную часть, связанную с приближением времени погашения; VaR следует вычислять относительно сценария, что в будущем сохранится текущее положение кривой доходности.\n",
        "\n",
        "- Простой исторический метод\n",
        "  - исторические \"деформации\" кривой процентных ставок применяются к текущему положению кривой доходности\n",
        "\n",
        "- Однофакторные модели:\n",
        "  - апроксимация (параллельный сдвиг + дюрация)\n",
        "    - предположение: все ставки сдвинутся на одину и ту же величину\n",
        "      - нужно оценить наихудших сдвиг\n",
        "      - дюрация отражает текущую чувствительность\n",
        "  - модели короткой процентной ставки (за пределами курса)\n",
        "    - кривые доходности однозначно определены короткой ставкой, сама по себе которая случайна.  \n",
        "\n",
        "\n",
        "- Многофакторные модели:\n",
        " - ключевые ставки (обобщение идеи параллельного сдвига, только для отдельных ставок)\n",
        " - факторное разложение (PCA) - есть факторы, которые обладают разным масштабом и по-разному влияют на ставки разных срочностей."
      ],
      "metadata": {
        "id": "RH-Wul2tyeB1"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Простой исторический метод\n",
        "\n",
        "\n"
      ],
      "metadata": {
        "id": "CBTe14H3iQhi"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Текущая кривая доходность\n",
        "\n",
        "bond = {\n",
        "    'dates':     np.array(['2020-04-13', '2020-10-13', '2021-04-13', '2021-10-13', '2022-04-13', '2022-10-13'], dtype='datetime64'),\n",
        "     'payments': np.array([ 0.025,        0.025,       0.025,         0.025,        0.025,        1.025])\n",
        "      }\n",
        "\n",
        "\n",
        "valuation_date = np.datetime64('2020-04-06')\n",
        "\n",
        "# Текущая стоимость облигации\n",
        "curr_price = bond_pricing(get_bond_CF(bond, valuation_date),\n",
        "                          get_curve(rates.loc[:valuation_date, :], valuation_date))['price']\n",
        "\n",
        "get_curve_vec = np.vectorize(get_curve, excluded = [0])\n",
        "bond_pricing_vec = np.vectorize(bond_pricing, excluded=[0])\n",
        "\n",
        "# Сценарии завтрашней кривой доходности\n",
        "rates_diff = rates.loc[:valuation_date, :].diff().dropna() # исторические сценарии изменения процентных ставок\n",
        "potential_rates = rates.loc[valuation_date, :].values + rates_diff # потенциальные кривые дохоходности завтра\n",
        "\n",
        "# Сколько может стоить облигация завтра?\n",
        "risk_date = np.datetime64('2020-04-07')\n",
        "bond_CF = get_bond_CF(bond, risk_date)\n",
        "\n",
        "# Базовой ценой\n",
        "reference_price = bond_pricing(bond_CF, get_curve(rates.loc[:valuation_date, :], valuation_date))['price']\n",
        "scenarios = bond_pricing_vec(\n",
        "        bond_CF,\n",
        "        get_curve_vec(potential_rates, potential_rates.index)\n",
        "    )\n",
        "potential_prices = pd.Series([x['price'] for x in scenarios])\n",
        "\n",
        "plt.hist(potential_prices, bins = 30)\n",
        "plt.grid()\n",
        "plt.show()\n",
        "\n",
        "level = .99\n",
        "quantile_price = potential_prices.quantile(1 - level, interpolation = 'higher')\n",
        "print(\n",
        "    '''\n",
        "Current price: {:.4f},\n",
        "Future reference price: {:.4f},\n",
        "Future quantile price: {:.4f},\n",
        "Relative VaR_{:.0%}: {:.2%}\n",
        "      '''.format(curr_price,\n",
        "                 reference_price,\n",
        "                 quantile_price,\n",
        "                 level,\n",
        "                 (reference_price - quantile_price)/reference_price\n",
        "                 ))\n",
        "#"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 369
        },
        "id": "7qDiT-eL4P0O",
        "outputId": "8b177951-1ff3-4d3c-eea3-274a9dae12ca"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n",
            "Current price: 1.1416,\n",
            "Future reference price: 1.1417,\n",
            "Future quantile price: 1.1393,\n",
            "Relative VaR_99%: 0.21%\n",
            "      \n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "#Однофакторная модель параллельного сдвига\n",
        "\n"
      ],
      "metadata": {
        "id": "JrCqF8kWrtOz"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Наша облигация\n",
        "\n",
        "bond = {\n",
        "    'dates':     np.array(['2020-04-13', '2020-10-13', '2021-04-13', '2021-10-13', '2022-04-13', '2022-10-13'], dtype='datetime64'),\n",
        "     'payments': np.array([ 0.025,        0.025,       0.025,         0.025,        0.025,        1.025])\n",
        "      }\n",
        "\n",
        "valuation_date = np.datetime64('2020-04-06')\n",
        "risk_date = np.datetime64('2020-04-07')\n",
        "\n",
        "duration = bond_pricing(get_bond_CF(bond, risk_date), get_curve(rates.loc[:valuation_date, :], valuation_date))['duration']\n",
        "print('Дюрация облигации', duration)\n",
        "\n",
        "# Используя параллельный сдвиг, мы получаем возможность строить модель распределения приращения\n",
        "rates_diff = rates.loc[:valuation_date, :].diff().dropna()\n",
        "rates_diff.mean(axis = 1).hist(bins = 30)\n",
        "quant_diff = rates_diff.max(axis = 1).quantile(level, interpolation = 'lower') # хуже, когда процентные ставки растут\n",
        "VaR = quant_diff*duration/100\n",
        "\n",
        "print('''Relative VaR_{:.0%}: {:.2%}\n",
        "      '''.format(\n",
        "                 level,\n",
        "                 VaR\n",
        "                )\n",
        ")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 317
        },
        "id": "Rb3TICXxwooe",
        "outputId": "51334429-711f-43ff-c47c-2fd4510594e5"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Дюрация облигации 2.353808631820037\n",
            "Relative VaR_99%: 0.35%\n",
            "      \n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# PCA для процентных ставок\n",
        "\n",
        "Идея -  найти ортоганальные друг другу факторы $f^j_t$, $j = \\overline{1, k}$, такие что:\n",
        "\n",
        " $$r_t(s) = \\beta_1(s) f^1_t +...+\\beta_k(s)f^k_t$$\n"
      ],
      "metadata": {
        "id": "5wOvO7gjcOlX"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "valuation_date = np.datetime64('2020-04-06')\n",
        "rates_diff = rates.loc[:valuation_date, :].diff().dropna()\n",
        "\n",
        "diff_mean = rates_diff.values.mean(axis = 0) # Запоминаем среднее\n",
        "diff_std = rates_diff.values.std(axis = 0) # Запоминаем волатильности ставок, они потребуются для обратной сборки модели\n",
        "\n",
        "# Применим PCA для разложения ряда ставок на ортоганальные факторы\n",
        "diff_scaled = StandardScaler().fit_transform(rates_diff.values) # Нормируем исходные данные\n",
        "pca=PCA()\n",
        "factors = pca.fit_transform(diff_scaled) # Получаем образы факторов нормированных данных\n",
        "\n",
        "fig, axs = plt.subplots(2,2, figsize = (15,10))\n",
        "\n",
        "diff_std_plot = axs[0,0]\n",
        "diff_std_plot.bar([str(round(x,2)) for x in terms], diff_std)\n",
        "diff_std_plot.set_title('Волатильности ставок разных сроков')\n",
        "diff_std_plot.grid()\n",
        "\n",
        "exp_var_plot = axs[0,1]\n",
        "exp_var_plot.bar(range(terms.size), pca.explained_variance_ratio_.cumsum(), color = 'red')\n",
        "exp_var_plot.set_title('Объясненная дисперсия факторами,\\n накопитиельным итогом в порядке значимости')\n",
        "exp_var_plot.grid()\n",
        "\n",
        "# Зададим количество главных факторов\n",
        "k = 3\n",
        "\n",
        "coeff_plot = axs[1,0]\n",
        "coeff_rescaled = pca.components_*np.expand_dims(diff_std, axis = 0)\n",
        "coeff_plot.plot(terms, coeff_rescaled[:k,:].T)\n",
        "coeff_plot.legend(['level','slope','curvature'])\n",
        "coeff_plot.set_title(f'График чувствительностей ставок к первым {k} факторам')\n",
        "coeff_plot.grid()\n",
        "\n",
        "exp_rat_plot = axs[1,1]\n",
        "exp_rat_plot.bar(range(terms.size), (factors[:,:k]@coeff_rescaled[:k,:]).std(axis = 0)/diff_std)\n",
        "exp_rat_plot.set_title(f'Доля объясненной дисперсии каждой ставки главными {k} факторами')\n",
        "exp_rat_plot.grid()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 623
        },
        "id": "Uj3cIJRqzKeq",
        "outputId": "ab5c08cc-9526-4e60-b59e-7940d438b49b"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1080x720 with 4 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Замоделируем первые при компоненты\n",
        "\n",
        "dist = ss.t\n",
        "\n",
        "# factor1_m = dist.fit(factors[:,0])\n",
        "# factor1_m\n",
        "\n",
        "fig, axs = plt.subplots(1, 3, figsize = (20, 7))\n",
        "\n",
        "models = []\n",
        "\n",
        "for i in range(k):\n",
        "  fct = factors[:,i]\n",
        "  factor_mdl = dist.fit(fct)\n",
        "  models.append(factor_mdl)\n",
        "  x_val = np.linspace(fct.min(), fct.max(), 100)\n",
        "\n",
        "  pic = axs[i]\n",
        "  pic.hist(fct, bins = 20, density = True, label = f'Factor {i+1} hist')\n",
        "  pic.plot(x_val, dist(*factor_mdl).pdf(x_val), '--r')\n",
        "  pic.grid()\n",
        "  pic.legend()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 425
        },
        "id": "WlXAG3WBBUaw",
        "outputId": "bb2b5b76-88e7-4a87-9128-a79799fab485"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1440x504 with 3 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Сгенерируем возможные изменения процентных ставок на горизонте 1 день\n",
        "\n",
        "N = 10_000\n",
        "\n",
        "factors_gen = pd.DataFrame(\n",
        "    {\n",
        "    f'factor{i+1}':dist(*models[i]).rvs(N) for i in range(k)\n",
        "}\n",
        ")\n",
        "diff_gen = factors_gen@coeff_rescaled[:k,:]\n",
        "diff_gen.columns = terms\n",
        "potential_rates = rates.loc[valuation_date, :].values + diff_gen\n",
        "\n",
        "risk_date = np.datetime64('2020-04-07')\n",
        "bond_CF = get_bond_CF(bond, risk_date)\n",
        "reference_price = bond_pricing(bond_CF, get_curve(rates.loc[:valuation_date, :], valuation_date))['price']\n",
        "scenarios = bond_pricing_vec(\n",
        "        bond_CF,\n",
        "        get_curve_vec(potential_rates, potential_rates.index)\n",
        "    )\n",
        "potential_prices = pd.Series([x['price'] for x in scenarios])\n",
        "\n",
        "plt.hist(potential_prices, bins = 30)\n",
        "plt.grid()\n",
        "plt.show()\n",
        "\n",
        "level = .99\n",
        "quantile_price = potential_prices.quantile(1 - level, interpolation = 'higher')\n",
        "print(\n",
        "    '''\n",
        "Current price: {:.4f},\n",
        "Future reference price: {:.4f},\n",
        "Future quantile price: {:.4f},\n",
        "Relative VaR_{:.0%}: {:.2%}\n",
        "      '''.format(curr_price,\n",
        "                 reference_price,\n",
        "                 quantile_price,\n",
        "                 level,\n",
        "                 (reference_price - quantile_price)/reference_price\n",
        "                 ))\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 369
        },
        "id": "ttjxiQhr098x",
        "outputId": "d2d965af-46c9-4a5d-8918-be99ae8ad096"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n",
            "Current price: 1.1416,\n",
            "Future reference price: 1.1417,\n",
            "Future quantile price: 1.1395,\n",
            "Relative VaR_99%: 0.19%\n",
            "      \n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Теперь у нас есть изменений кривой процентных ставок, основанной на трех ортоганальных (некоррелированных) факторах"
      ],
      "metadata": {
        "id": "I_9RfcIDjYHg"
      }
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "2xJfuz4QT-Gy"
      },
      "source": [
        "# О бэктесте моделей риска облигаций\n",
        "\n",
        "Структура портфеля для бэктеста:\n",
        "\n",
        "- реальные (устаревающие) облигации?\n",
        "- фиксированный портфель - одинаковые потоки платежей?\n",
        "- постоянная стоимостная структура?\n",
        "- постоянная чувствительность портфеля?"
      ]
    }
  ],
  "metadata": {
    "colab": {
      "provenance": [],
      "include_colab_link": true
    },
    "kernelspec": {
      "display_name": "Python 3",
      "name": "python3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}