ml-finance-python

python scripts for finance machine learning

git clone https://9o.is/git/ml-finance-python.git

lab_119.ipynb

(422576B)


      1 {
      2  "cells": [
      3   {
      4    "cell_type": "markdown",
      5    "metadata": {},
      6    "source": [
      7     "# Implementing Portfolio Insurance (CPPI) and Drawdown Constraints"
      8    ]
      9   },
     10   {
     11    "cell_type": "markdown",
     12    "metadata": {},
     13    "source": [
     14     "We'll start by implementing the basic Constant Proportion Portfolio Insurance dynamic risk budgeting algorithm, and test it against different portfolios.\n",
     15     "\n",
     16     "Let's begin, as usual, by loading up our `edhec_risk_kit` module."
     17    ]
     18   },
     19   {
     20    "cell_type": "code",
     21    "execution_count": 1,
     22    "metadata": {},
     23    "outputs": [],
     24    "source": [
     25     "%load_ext autoreload\n",
     26     "%autoreload 2\n",
     27     "%matplotlib inline\n",
     28     "import edhec_risk_kit_119 as erk\n",
     29     "\n",
     30     "# Load the industry returns and the total market index we previously created\n",
     31     "ind_return = erk.get_ind_returns()\n",
     32     "tmi_return = erk.get_total_market_index_returns()"
     33    ]
     34   },
     35   {
     36    "cell_type": "markdown",
     37    "metadata": {},
     38    "source": [
     39     "The CPPI algorithm is surprisingly simple to implement. This takes as input, the returns of a risky asset and a safe asset, along with the initial wealth to invest at the start, along with a floor that should not be violated."
     40    ]
     41   },
     42   {
     43    "cell_type": "code",
     44    "execution_count": 2,
     45    "metadata": {},
     46    "outputs": [],
     47    "source": [
     48     "import pandas as pd\n",
     49     "import numpy as np\n",
     50     "\n",
     51     "risky_r = ind_return[\"2000\":][[\"Steel\", \"Fin\", \"Beer\"]]\n",
     52     "# Assume the safe asset is paying 3% per year\n",
     53     "safe_r = pd.DataFrame().reindex_like(risky_r)\n",
     54     "safe_r.values[:] = 0.03/12 # fast way to set all values to a number\n",
     55     "start = 1000 # start at $1000\n",
     56     "floor = 0.80 # set the floor to 80 percent of the starting value"
     57    ]
     58   },
     59   {
     60    "cell_type": "markdown",
     61    "metadata": {},
     62    "source": [
     63     "Now, we need to backtest this strategy by starting at the beginning and at every point in time:\n",
     64     "\n",
     65     "1. Compute the cushion (asset value minus floor)\n",
     66     "2. Compute the allocation (based on the multiplier)\n",
     67     "3. Compute the new asset value\n",
     68     "\n",
     69     "Although we rarely use for-loops in working with time-series, relying instead of Pandas and Numpy to do the looping internally (and efficiently) this is easier to do with a traditional for-loop.\n",
     70     "\n",
     71     "### An Aside on Efficiency\n",
     72     "\n",
     73     "Although For-Loops are common, we've almost never used them so far. That is not an accident. For-Loops in python are expensive, and we have so far relied on numpy to do the looping for us efficiently in C. The problem is that it's easy to miss the fact that there is a loop here.\n",
     74     "\n",
     75     "For instance, consider two implementations of the function to compound returns.\n"
     76    ]
     77   },
     78   {
     79    "cell_type": "code",
     80    "execution_count": 3,
     81    "metadata": {},
     82    "outputs": [
     83     {
     84      "data": {
     85       "text/plain": [
     86        "Steel      435.580153\n",
     87        "Fin       5778.433650\n",
     88        "Beer     35820.527452\n",
     89        "dtype: float64"
     90       ]
     91      },
     92      "execution_count": 3,
     93      "metadata": {},
     94      "output_type": "execute_result"
     95     }
     96    ],
     97    "source": [
     98     "def compound1(r):\n",
     99     "    return np.expm1(np.log1p(r).sum())\n",
    100     "\n",
    101     "def compound2(r):\n",
    102     "    return (r+1).prod()-1\n",
    103     "\n",
    104     "compound1(ind_return[[\"Steel\", \"Fin\", \"Beer\"]])"
    105    ]
    106   },
    107   {
    108    "cell_type": "code",
    109    "execution_count": 4,
    110    "metadata": {},
    111    "outputs": [
    112     {
    113      "data": {
    114       "text/plain": [
    115        "Steel      435.580153\n",
    116        "Fin       5778.433650\n",
    117        "Beer     35820.527452\n",
    118        "dtype: float64"
    119       ]
    120      },
    121      "execution_count": 4,
    122      "metadata": {},
    123      "output_type": "execute_result"
    124     }
    125    ],
    126    "source": [
    127     "compound2(ind_return[[\"Steel\", \"Fin\", \"Beer\"]])"
    128    ]
    129   },
    130   {
    131    "cell_type": "markdown",
    132    "metadata": {},
    133    "source": [
    134     "They both produce the same result, but are they identical? The second one might appear a bit more clear to some programmers, which of these is more efficient? We can find out by using the `%timeit` magic."
    135    ]
    136   },
    137   {
    138    "cell_type": "code",
    139    "execution_count": 5,
    140    "metadata": {},
    141    "outputs": [
    142     {
    143      "name": "stdout",
    144      "output_type": "stream",
    145      "text": [
    146       "944 µs ± 44.6 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)\n"
    147      ]
    148     }
    149    ],
    150    "source": [
    151     "%timeit compound1(ind_return)"
    152    ]
    153   },
    154   {
    155    "cell_type": "code",
    156    "execution_count": 6,
    157    "metadata": {},
    158    "outputs": [
    159     {
    160      "name": "stdout",
    161      "output_type": "stream",
    162      "text": [
    163       "9.64 ms ± 513 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n"
    164      ]
    165     }
    166    ],
    167    "source": [
    168     "%timeit compound2(ind_return)"
    169    ]
    170   },
    171   {
    172    "cell_type": "markdown",
    173    "metadata": {},
    174    "source": [
    175     "Astonishingly, on my computer, `compound1` took around 0.8 millisecond, while `compound2` took more than 8 ms per loop, which is an entire order of magnitude! Let's add this to our toolkit, which we'll use later:\n",
    176     "\n",
    177     "```python\n",
    178     "def compound(r):\n",
    179     "    \"\"\"\n",
    180     "    returns the result of compounding the set of returns in r\n",
    181     "    \"\"\"\n",
    182     "    return np.expm1(np.log1p(r).sum())\n",
    183     "```\n",
    184     "\n",
    185     "And now, back to CPPI ..."
    186    ]
    187   },
    188   {
    189    "cell_type": "code",
    190    "execution_count": 7,
    191    "metadata": {},
    192    "outputs": [],
    193    "source": [
    194     "# set up the CPPI parameters\n",
    195     "dates = risky_r.index\n",
    196     "n_steps = len(dates)\n",
    197     "account_value = start\n",
    198     "floor_value = start*floor\n",
    199     "m = 3\n",
    200     "## set up some DataFrames for saving intermediate values\n",
    201     "account_history = pd.DataFrame().reindex_like(risky_r)\n",
    202     "risky_w_history = pd.DataFrame().reindex_like(risky_r)\n",
    203     "cushion_history = pd.DataFrame().reindex_like(risky_r)\n"
    204    ]
    205   },
    206   {
    207    "cell_type": "code",
    208    "execution_count": 8,
    209    "metadata": {},
    210    "outputs": [],
    211    "source": [
    212     "for step in range(n_steps):\n",
    213     "    cushion = (account_value - floor_value)/account_value\n",
    214     "    risky_w = m*cushion\n",
    215     "    risky_w = np.minimum(risky_w, 1)\n",
    216     "    risky_w = np.maximum(risky_w, 0)\n",
    217     "    safe_w = 1-risky_w\n",
    218     "    risky_alloc = account_value*risky_w\n",
    219     "    safe_alloc = account_value*safe_w\n",
    220     "    # recompute the new account value at the end of this step\n",
    221     "    account_value = risky_alloc*(1+risky_r.iloc[step]) + safe_alloc*(1+safe_r.iloc[step])\n",
    222     "    # save the histories for analysis and plotting\n",
    223     "    cushion_history.iloc[step] = cushion\n",
    224     "    risky_w_history.iloc[step] = risky_w\n",
    225     "    account_history.iloc[step] = account_value\n",
    226     "    risky_wealth = start*(1+risky_r).cumprod()\n"
    227    ]
    228   },
    229   {
    230    "cell_type": "code",
    231    "execution_count": 9,
    232    "metadata": {},
    233    "outputs": [
    234     {
    235      "data": {
    236       "text/plain": [
    237        "<matplotlib.lines.Line2D at 0x103c6ba90>"
    238       ]
    239      },
    240      "execution_count": 9,
    241      "metadata": {},
    242      "output_type": "execute_result"
    243     },
    244     {
    245      "data": {
    246       "image/png": 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\n",
    247       "text/plain": [
    248        "<Figure size 432x288 with 1 Axes>"
    249       ]
    250      },
    251      "metadata": {
    252       "needs_background": "light"
    253      },
    254      "output_type": "display_data"
    255     }
    256    ],
    257    "source": [
    258     "ind = \"Beer\"\n",
    259     "ax = account_history[ind].plot()\n",
    260     "risky_wealth[ind].plot(style=\"k:\")\n",
    261     "ax.axhline(y=floor_value, color='r', linestyle='--')"
    262    ]
    263   },
    264   {
    265    "cell_type": "code",
    266    "execution_count": 10,
    267    "metadata": {},
    268    "outputs": [
    269     {
    270      "data": {
    271       "text/plain": [
    272        "<matplotlib.lines.Line2D at 0x1a178087b8>"
    273       ]
    274      },
    275      "execution_count": 10,
    276      "metadata": {},
    277      "output_type": "execute_result"
    278     },
    279     {
    280      "data": {
    281       "image/png": 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\n",
    282       "text/plain": [
    283        "<Figure size 432x288 with 1 Axes>"
    284       ]
    285      },
    286      "metadata": {
    287       "needs_background": "light"
    288      },
    289      "output_type": "display_data"
    290     }
    291    ],
    292    "source": [
    293     "ind = \"Fin\"\n",
    294     "ax = account_history[ind].plot()\n",
    295     "risky_wealth[ind].plot(style=\"k:\")\n",
    296     "ax.axhline(y=floor_value, color='r', linestyle='--')"
    297    ]
    298   },
    299   {
    300    "cell_type": "code",
    301    "execution_count": 11,
    302    "metadata": {},
    303    "outputs": [
    304     {
    305      "data": {
    306       "text/plain": [
    307        "<matplotlib.axes._subplots.AxesSubplot at 0x1a17c6a160>"
    308       ]
    309      },
    310      "execution_count": 11,
    311      "metadata": {},
    312      "output_type": "execute_result"
    313     },
    314     {
    315      "data": {
    316       "image/png": 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\n",
    317       "text/plain": [
    318        "<Figure size 432x288 with 1 Axes>"
    319       ]
    320      },
    321      "metadata": {
    322       "needs_background": "light"
    323      },
    324      "output_type": "display_data"
    325     }
    326    ],
    327    "source": [
    328     "cushion_history[\"Fin\"].plot()"
    329    ]
    330   },
    331   {
    332    "cell_type": "code",
    333    "execution_count": 12,
    334    "metadata": {},
    335    "outputs": [
    336     {
    337      "data": {
    338       "text/plain": [
    339        "<matplotlib.axes._subplots.AxesSubplot at 0x1a178b3eb8>"
    340       ]
    341      },
    342      "execution_count": 12,
    343      "metadata": {},
    344      "output_type": "execute_result"
    345     },
    346     {
    347      "data": {
    348       "image/png": 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\n",
    349       "text/plain": [
    350        "<Figure size 432x288 with 1 Axes>"
    351       ]
    352      },
    353      "metadata": {
    354       "needs_background": "light"
    355      },
    356      "output_type": "display_data"
    357     }
    358    ],
    359    "source": [
    360     "risky_w_history.plot()"
    361    ]
    362   },
    363   {
    364    "cell_type": "markdown",
    365    "metadata": {},
    366    "source": [
    367     "Let's put this all into a new function which we can add to our `edhec_risk_kit.py`:\n",
    368     "\n",
    369     "```python\n",
    370     "def run_cppi(risky_r, safe_r=None, m=3, start=1000, floor=0.8, riskfree_rate=0.03):\n",
    371     "    \"\"\"\n",
    372     "    Run a backtest of the CPPI strategy, given a set of returns for the risky asset\n",
    373     "    Returns a dictionary containing: Asset Value History, Risk Budget History, Risky Weight History\n",
    374     "    \"\"\"\n",
    375     "    # set up the CPPI parameters\n",
    376     "    dates = risky_r.index\n",
    377     "    n_steps = len(dates)\n",
    378     "    account_value = start\n",
    379     "    floor_value = start*floor\n",
    380     "\n",
    381     "    if isinstance(risky_r, pd.Series): \n",
    382     "        risky_r = pd.DataFrame(risky_r, columns=[\"R\"])\n",
    383     "\n",
    384     "    if safe_r is None:\n",
    385     "        safe_r = pd.DataFrame().reindex_like(risky_r)\n",
    386     "        safe_r.values[:] = riskfree_rate/12 # fast way to set all values to a number\n",
    387     "    # set up some DataFrames for saving intermediate values\n",
    388     "    account_history = pd.DataFrame().reindex_like(risky_r)\n",
    389     "    risky_w_history = pd.DataFrame().reindex_like(risky_r)\n",
    390     "    cushion_history = pd.DataFrame().reindex_like(risky_r)\n",
    391     "    \n",
    392     "    for step in range(n_steps):\n",
    393     "        cushion = (account_value - floor_value)/account_value\n",
    394     "        risky_w = m*cushion\n",
    395     "        risky_w = np.minimum(risky_w, 1)\n",
    396     "        risky_w = np.maximum(risky_w, 0)\n",
    397     "        safe_w = 1-risky_w\n",
    398     "        risky_alloc = account_value*risky_w\n",
    399     "        safe_alloc = account_value*safe_w\n",
    400     "        # recompute the new account value at the end of this step\n",
    401     "        account_value = risky_alloc*(1+risky_r.iloc[step]) + safe_alloc*(1+safe_r.iloc[step])\n",
    402     "        # save the histories for analysis and plotting\n",
    403     "        cushion_history.iloc[step] = cushion\n",
    404     "        risky_w_history.iloc[step] = risky_w\n",
    405     "        account_history.iloc[step] = account_value\n",
    406     "    risky_wealth = start*(1+risky_r).cumprod()\n",
    407     "    backtest_result = {\n",
    408     "        \"Wealth\": account_history,\n",
    409     "        \"Risky Wealth\": risky_wealth, \n",
    410     "        \"Risk Budget\": cushion_history,\n",
    411     "        \"Risky Allocation\": risky_w_history,\n",
    412     "        \"m\": m,\n",
    413     "        \"start\": start,\n",
    414     "        \"floor\": floor,\n",
    415     "        \"risky_r\":risky_r,\n",
    416     "        \"safe_r\": safe_r\n",
    417     "    }\n",
    418     "    return backtest_result\n",
    419     "\n",
    420     "```\n",
    421     "\n",
    422     "\n",
    423     "And while we're at it, let's also write a convenience function to provide summary statistics on a set of returns:\n",
    424     "\n",
    425     "```python\n",
    426     "\n",
    427     "def summary_stats(r, riskfree_rate=0.03):\n",
    428     "    \"\"\"\n",
    429     "    Return a DataFrame that contains aggregated summary stats for the returns in the columns of r\n",
    430     "    \"\"\"\n",
    431     "    ann_r = r.aggregate(annualize_rets, periods_per_year=12)\n",
    432     "    ann_vol = r.aggregate(annualize_vol, periods_per_year=12)\n",
    433     "    ann_sr = r.aggregate(sharpe_ratio, riskfree_rate=riskfree_rate, periods_per_year=12)\n",
    434     "    dd = r.aggregate(lambda r: drawdown(r).Drawdown.min())\n",
    435     "    skew = r.aggregate(skewness)\n",
    436     "    kurt = r.aggregate(kurtosis)\n",
    437     "    cf_var5 = r.aggregate(var_gaussian, modified=True)\n",
    438     "    hist_cvar5 = r.aggregate(cvar_historic)\n",
    439     "    return pd.DataFrame({\n",
    440     "        \"Annualized Return\": ann_r,\n",
    441     "        \"Annualized Vol\": ann_vol,\n",
    442     "        \"Skewness\": skew,\n",
    443     "        \"Kurtosis\": kurt,\n",
    444     "        \"Cornish-Fisher VaR (5%)\": cf_var5,\n",
    445     "        \"Historic CVaR (5%)\": hist_cvar5,\n",
    446     "        \"Sharpe Ratio\": ann_sr,\n",
    447     "        \"Max Drawdown\": dd\n",
    448     "    })\n",
    449     "\n",
    450     "```\n"
    451    ]
    452   },
    453   {
    454    "cell_type": "code",
    455    "execution_count": 13,
    456    "metadata": {},
    457    "outputs": [
    458     {
    459      "data": {
    460       "text/plain": [
    461        "<matplotlib.axes._subplots.AxesSubplot at 0x1a17833ef0>"
    462       ]
    463      },
    464      "execution_count": 13,
    465      "metadata": {},
    466      "output_type": "execute_result"
    467     },
    468     {
    469      "data": {
    470       "image/png": 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\n",
    471       "text/plain": [
    472        "<Figure size 720x360 with 1 Axes>"
    473       ]
    474      },
    475      "metadata": {
    476       "needs_background": "light"
    477      },
    478      "output_type": "display_data"
    479     }
    480    ],
    481    "source": [
    482     "btr = erk.run_cppi(tmi_return[\"2007\":])\n",
    483     "ax = btr[\"Wealth\"].plot(legend=False, figsize=(10, 5))\n",
    484     "btr[\"Risky Wealth\"].plot(ax = ax, style=\"k--\", legend=False)"
    485    ]
    486   },
    487   {
    488    "cell_type": "code",
    489    "execution_count": 14,
    490    "metadata": {},
    491    "outputs": [
    492     {
    493      "data": {
    494       "text/plain": [
    495        "<matplotlib.axes._subplots.AxesSubplot at 0x1a17f56d30>"
    496       ]
    497      },
    498      "execution_count": 14,
    499      "metadata": {},
    500      "output_type": "execute_result"
    501     },
    502     {
    503      "data": {
    504       "image/png": 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\n",
    505       "text/plain": [
    506        "<Figure size 864x360 with 1 Axes>"
    507       ]
    508      },
    509      "metadata": {
    510       "needs_background": "light"
    511      },
    512      "output_type": "display_data"
    513     }
    514    ],
    515    "source": [
    516     "btr = erk.run_cppi(ind_return[\"2007\":][[\"Steel\", \"Fin\", \"Beer\"]])\n",
    517     "ax = btr[\"Wealth\"].plot(figsize=(12,5))\n",
    518     "btr[\"Risky Wealth\"].plot(ax=ax, style=\"--\")"
    519    ]
    520   },
    521   {
    522    "cell_type": "code",
    523    "execution_count": 15,
    524    "metadata": {},
    525    "outputs": [
    526     {
    527      "data": {
    528       "text/html": [
    529        "<div>\n",
    530        "<style scoped>\n",
    531        "    .dataframe tbody tr th:only-of-type {\n",
    532        "        vertical-align: middle;\n",
    533        "    }\n",
    534        "\n",
    535        "    .dataframe tbody tr th {\n",
    536        "        vertical-align: top;\n",
    537        "    }\n",
    538        "\n",
    539        "    .dataframe thead th {\n",
    540        "        text-align: right;\n",
    541        "    }\n",
    542        "</style>\n",
    543        "<table border=\"1\" class=\"dataframe\">\n",
    544        "  <thead>\n",
    545        "    <tr style=\"text-align: right;\">\n",
    546        "      <th></th>\n",
    547        "      <th>Annualized Return</th>\n",
    548        "      <th>Annualized Vol</th>\n",
    549        "      <th>Skewness</th>\n",
    550        "      <th>Kurtosis</th>\n",
    551        "      <th>Cornish-Fisher VaR (5%)</th>\n",
    552        "      <th>Historic CVaR (5%)</th>\n",
    553        "      <th>Sharpe Ratio</th>\n",
    554        "      <th>Max Drawdown</th>\n",
    555        "    </tr>\n",
    556        "  </thead>\n",
    557        "  <tbody>\n",
    558        "    <tr>\n",
    559        "      <th>Steel</th>\n",
    560        "      <td>-0.014490</td>\n",
    561        "      <td>0.126906</td>\n",
    562        "      <td>-1.554266</td>\n",
    563        "      <td>11.668243</td>\n",
    564        "      <td>0.068652</td>\n",
    565        "      <td>0.004543</td>\n",
    566        "      <td>-0.341351</td>\n",
    567        "      <td>-0.404132</td>\n",
    568        "    </tr>\n",
    569        "    <tr>\n",
    570        "      <th>Fin</th>\n",
    571        "      <td>0.054690</td>\n",
    572        "      <td>0.109579</td>\n",
    573        "      <td>-0.254976</td>\n",
    574        "      <td>5.589082</td>\n",
    575        "      <td>0.047503</td>\n",
    576        "      <td>0.000311</td>\n",
    577        "      <td>0.219159</td>\n",
    578        "      <td>-0.216868</td>\n",
    579        "    </tr>\n",
    580        "    <tr>\n",
    581        "      <th>Beer</th>\n",
    582        "      <td>0.101518</td>\n",
    583        "      <td>0.114363</td>\n",
    584        "      <td>-0.743585</td>\n",
    585        "      <td>4.527865</td>\n",
    586        "      <td>0.051074</td>\n",
    587        "      <td>0.001146</td>\n",
    588        "      <td>0.608531</td>\n",
    589        "      <td>-0.217280</td>\n",
    590        "    </tr>\n",
    591        "  </tbody>\n",
    592        "</table>\n",
    593        "</div>"
    594       ],
    595       "text/plain": [
    596        "       Annualized Return  Annualized Vol  Skewness   Kurtosis  \\\n",
    597        "Steel          -0.014490        0.126906 -1.554266  11.668243   \n",
    598        "Fin             0.054690        0.109579 -0.254976   5.589082   \n",
    599        "Beer            0.101518        0.114363 -0.743585   4.527865   \n",
    600        "\n",
    601        "       Cornish-Fisher VaR (5%)  Historic CVaR (5%)  Sharpe Ratio  Max Drawdown  \n",
    602        "Steel                 0.068652            0.004543     -0.341351     -0.404132  \n",
    603        "Fin                   0.047503            0.000311      0.219159     -0.216868  \n",
    604        "Beer                  0.051074            0.001146      0.608531     -0.217280  "
    605       ]
    606      },
    607      "execution_count": 15,
    608      "metadata": {},
    609      "output_type": "execute_result"
    610     }
    611    ],
    612    "source": [
    613     "erk.summary_stats(btr[\"Wealth\"].pct_change().dropna())"
    614    ]
    615   },
    616   {
    617    "cell_type": "code",
    618    "execution_count": 16,
    619    "metadata": {},
    620    "outputs": [
    621     {
    622      "data": {
    623       "text/html": [
    624        "<div>\n",
    625        "<style scoped>\n",
    626        "    .dataframe tbody tr th:only-of-type {\n",
    627        "        vertical-align: middle;\n",
    628        "    }\n",
    629        "\n",
    630        "    .dataframe tbody tr th {\n",
    631        "        vertical-align: top;\n",
    632        "    }\n",
    633        "\n",
    634        "    .dataframe thead th {\n",
    635        "        text-align: right;\n",
    636        "    }\n",
    637        "</style>\n",
    638        "<table border=\"1\" class=\"dataframe\">\n",
    639        "  <thead>\n",
    640        "    <tr style=\"text-align: right;\">\n",
    641        "      <th></th>\n",
    642        "      <th>Annualized Return</th>\n",
    643        "      <th>Annualized Vol</th>\n",
    644        "      <th>Skewness</th>\n",
    645        "      <th>Kurtosis</th>\n",
    646        "      <th>Cornish-Fisher VaR (5%)</th>\n",
    647        "      <th>Historic CVaR (5%)</th>\n",
    648        "      <th>Sharpe Ratio</th>\n",
    649        "      <th>Max Drawdown</th>\n",
    650        "    </tr>\n",
    651        "  </thead>\n",
    652        "  <tbody>\n",
    653        "    <tr>\n",
    654        "      <th>Steel</th>\n",
    655        "      <td>-0.039660</td>\n",
    656        "      <td>0.306407</td>\n",
    657        "      <td>-0.459951</td>\n",
    658        "      <td>4.782828</td>\n",
    659        "      <td>0.152288</td>\n",
    660        "      <td>0.009735</td>\n",
    661        "      <td>-0.221642</td>\n",
    662        "      <td>-0.758017</td>\n",
    663        "    </tr>\n",
    664        "    <tr>\n",
    665        "      <th>Fin</th>\n",
    666        "      <td>0.027364</td>\n",
    667        "      <td>0.212204</td>\n",
    668        "      <td>-0.695200</td>\n",
    669        "      <td>4.621401</td>\n",
    670        "      <td>0.105744</td>\n",
    671        "      <td>-0.000156</td>\n",
    672        "      <td>-0.012370</td>\n",
    673        "      <td>-0.718465</td>\n",
    674        "    </tr>\n",
    675        "    <tr>\n",
    676        "      <th>Beer</th>\n",
    677        "      <td>0.111554</td>\n",
    678        "      <td>0.127971</td>\n",
    679        "      <td>-0.670797</td>\n",
    680        "      <td>4.650878</td>\n",
    681        "      <td>0.056497</td>\n",
    682        "      <td>-0.000083</td>\n",
    683        "      <td>0.620132</td>\n",
    684        "      <td>-0.271368</td>\n",
    685        "    </tr>\n",
    686        "  </tbody>\n",
    687        "</table>\n",
    688        "</div>"
    689       ],
    690       "text/plain": [
    691        "       Annualized Return  Annualized Vol  Skewness  Kurtosis  \\\n",
    692        "Steel          -0.039660        0.306407 -0.459951  4.782828   \n",
    693        "Fin             0.027364        0.212204 -0.695200  4.621401   \n",
    694        "Beer            0.111554        0.127971 -0.670797  4.650878   \n",
    695        "\n",
    696        "       Cornish-Fisher VaR (5%)  Historic CVaR (5%)  Sharpe Ratio  Max Drawdown  \n",
    697        "Steel                 0.152288            0.009735     -0.221642     -0.758017  \n",
    698        "Fin                   0.105744           -0.000156     -0.012370     -0.718465  \n",
    699        "Beer                  0.056497           -0.000083      0.620132     -0.271368  "
    700       ]
    701      },
    702      "execution_count": 16,
    703      "metadata": {},
    704      "output_type": "execute_result"
    705     }
    706    ],
    707    "source": [
    708     "erk.summary_stats(btr[\"Risky Wealth\"].pct_change().dropna())"
    709    ]
    710   },
    711   {
    712    "cell_type": "code",
    713    "execution_count": 17,
    714    "metadata": {},
    715    "outputs": [
    716     {
    717      "data": {
    718       "text/plain": [
    719        "<matplotlib.axes._subplots.AxesSubplot at 0x1a182249e8>"
    720       ]
    721      },
    722      "execution_count": 17,
    723      "metadata": {},
    724      "output_type": "execute_result"
    725     },
    726     {
    727      "data": {
    728       "image/png": 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\n",
    729       "text/plain": [
    730        "<Figure size 720x360 with 1 Axes>"
    731       ]
    732      },
    733      "metadata": {
    734       "needs_background": "light"
    735      },
    736      "output_type": "display_data"
    737     }
    738    ],
    739    "source": [
    740     "btr = erk.run_cppi(tmi_return[\"2000\":\"2008\"])\n",
    741     "ax = btr[\"Wealth\"].plot(legend=False, figsize=(10, 5))\n",
    742     "btr[\"Risky Wealth\"].plot(ax = ax, style=\"k--\", legend=False)"
    743    ]
    744   },
    745   {
    746    "cell_type": "markdown",
    747    "metadata": {},
    748    "source": [
    749     "Insurance strategies usually help with drawdowns, but they can also be adapted to explictly limit the drawdown.\n",
    750     "\n",
    751     "## Explicitly Limiting Drawdowns\n",
    752     "\n",
    753     "Modify the code to adjust the floor if needed, based on an additional new parameter `drawdown`.\n",
    754     "\n",
    755     "```python\n",
    756     "        if drawdown is not None:\n",
    757     "            peak = np.maximum(peak, account_value)\n",
    758     "            floor_value = peak*(1-drawdown)\n",
    759     "```\n",
    760     "\n",
    761     "You can now call `run_cppi` witk a parameter `drawdown`. For instance, to run CPPI and limit the drawdown to 25%"
    762    ]
    763   },
    764   {
    765    "cell_type": "code",
    766    "execution_count": 18,
    767    "metadata": {},
    768    "outputs": [
    769     {
    770      "data": {
    771       "text/plain": [
    772        "<matplotlib.axes._subplots.AxesSubplot at 0x1a182e3b70>"
    773       ]
    774      },
    775      "execution_count": 18,
    776      "metadata": {},
    777      "output_type": "execute_result"
    778     },
    779     {
    780      "data": {
    781       "image/png": 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\n",
    782       "text/plain": [
    783        "<Figure size 864x360 with 1 Axes>"
    784       ]
    785      },
    786      "metadata": {
    787       "needs_background": "light"
    788      },
    789      "output_type": "display_data"
    790     }
    791    ],
    792    "source": [
    793     "btr = erk.run_cppi(ind_return[\"2007\":][[\"Steel\", \"Fin\", \"Beer\"]], drawdown=0.25)\n",
    794     "ax = btr[\"Wealth\"].plot(figsize=(12,5))\n",
    795     "btr[\"Risky Wealth\"].plot(ax=ax, style=\"--\")"
    796    ]
    797   },
    798   {
    799    "cell_type": "code",
    800    "execution_count": 19,
    801    "metadata": {},
    802    "outputs": [
    803     {
    804      "data": {
    805       "text/html": [
    806        "<div>\n",
    807        "<style scoped>\n",
    808        "    .dataframe tbody tr th:only-of-type {\n",
    809        "        vertical-align: middle;\n",
    810        "    }\n",
    811        "\n",
    812        "    .dataframe tbody tr th {\n",
    813        "        vertical-align: top;\n",
    814        "    }\n",
    815        "\n",
    816        "    .dataframe thead th {\n",
    817        "        text-align: right;\n",
    818        "    }\n",
    819        "</style>\n",
    820        "<table border=\"1\" class=\"dataframe\">\n",
    821        "  <thead>\n",
    822        "    <tr style=\"text-align: right;\">\n",
    823        "      <th></th>\n",
    824        "      <th>Annualized Return</th>\n",
    825        "      <th>Annualized Vol</th>\n",
    826        "      <th>Sharpe Ratio</th>\n",
    827        "      <th>Max Drawdown</th>\n",
    828        "    </tr>\n",
    829        "  </thead>\n",
    830        "  <tbody>\n",
    831        "    <tr>\n",
    832        "      <th>Steel</th>\n",
    833        "      <td>0.003784</td>\n",
    834        "      <td>0.097073</td>\n",
    835        "      <td>-0.262958</td>\n",
    836        "      <td>-0.248059</td>\n",
    837        "    </tr>\n",
    838        "    <tr>\n",
    839        "      <th>Fin</th>\n",
    840        "      <td>0.041975</td>\n",
    841        "      <td>0.085028</td>\n",
    842        "      <td>0.136964</td>\n",
    843        "      <td>-0.243626</td>\n",
    844        "    </tr>\n",
    845        "    <tr>\n",
    846        "      <th>Beer</th>\n",
    847        "      <td>0.084375</td>\n",
    848        "      <td>0.086263</td>\n",
    849        "      <td>0.613413</td>\n",
    850        "      <td>-0.161186</td>\n",
    851        "    </tr>\n",
    852        "  </tbody>\n",
    853        "</table>\n",
    854        "</div>"
    855       ],
    856       "text/plain": [
    857        "       Annualized Return  Annualized Vol  Sharpe Ratio  Max Drawdown\n",
    858        "Steel           0.003784        0.097073     -0.262958     -0.248059\n",
    859        "Fin             0.041975        0.085028      0.136964     -0.243626\n",
    860        "Beer            0.084375        0.086263      0.613413     -0.161186"
    861       ]
    862      },
    863      "execution_count": 19,
    864      "metadata": {},
    865      "output_type": "execute_result"
    866     }
    867    ],
    868    "source": [
    869     "erk.summary_stats(btr[\"Wealth\"].pct_change().dropna())[[\"Annualized Return\", \"Annualized Vol\", \"Sharpe Ratio\", \"Max Drawdown\"]]"
    870    ]
    871   },
    872   {
    873    "cell_type": "code",
    874    "execution_count": 20,
    875    "metadata": {},
    876    "outputs": [
    877     {
    878      "data": {
    879       "text/html": [
    880        "<div>\n",
    881        "<style scoped>\n",
    882        "    .dataframe tbody tr th:only-of-type {\n",
    883        "        vertical-align: middle;\n",
    884        "    }\n",
    885        "\n",
    886        "    .dataframe tbody tr th {\n",
    887        "        vertical-align: top;\n",
    888        "    }\n",
    889        "\n",
    890        "    .dataframe thead th {\n",
    891        "        text-align: right;\n",
    892        "    }\n",
    893        "</style>\n",
    894        "<table border=\"1\" class=\"dataframe\">\n",
    895        "  <thead>\n",
    896        "    <tr style=\"text-align: right;\">\n",
    897        "      <th></th>\n",
    898        "      <th>Annualized Return</th>\n",
    899        "      <th>Annualized Vol</th>\n",
    900        "      <th>Sharpe Ratio</th>\n",
    901        "      <th>Max Drawdown</th>\n",
    902        "    </tr>\n",
    903        "  </thead>\n",
    904        "  <tbody>\n",
    905        "    <tr>\n",
    906        "      <th>Steel</th>\n",
    907        "      <td>-0.039660</td>\n",
    908        "      <td>0.306407</td>\n",
    909        "      <td>-0.221642</td>\n",
    910        "      <td>-0.758017</td>\n",
    911        "    </tr>\n",
    912        "    <tr>\n",
    913        "      <th>Fin</th>\n",
    914        "      <td>0.027364</td>\n",
    915        "      <td>0.212204</td>\n",
    916        "      <td>-0.012370</td>\n",
    917        "      <td>-0.718465</td>\n",
    918        "    </tr>\n",
    919        "    <tr>\n",
    920        "      <th>Beer</th>\n",
    921        "      <td>0.111554</td>\n",
    922        "      <td>0.127971</td>\n",
    923        "      <td>0.620132</td>\n",
    924        "      <td>-0.271368</td>\n",
    925        "    </tr>\n",
    926        "  </tbody>\n",
    927        "</table>\n",
    928        "</div>"
    929       ],
    930       "text/plain": [
    931        "       Annualized Return  Annualized Vol  Sharpe Ratio  Max Drawdown\n",
    932        "Steel          -0.039660        0.306407     -0.221642     -0.758017\n",
    933        "Fin             0.027364        0.212204     -0.012370     -0.718465\n",
    934        "Beer            0.111554        0.127971      0.620132     -0.271368"
    935       ]
    936      },
    937      "execution_count": 20,
    938      "metadata": {},
    939      "output_type": "execute_result"
    940     }
    941    ],
    942    "source": [
    943     "erk.summary_stats(btr[\"Risky Wealth\"].pct_change().dropna())[[\"Annualized Return\", \"Annualized Vol\", \"Sharpe Ratio\", \"Max Drawdown\"]]"
    944    ]
    945   },
    946   {
    947    "cell_type": "code",
    948    "execution_count": 21,
    949    "metadata": {},
    950    "outputs": [
    951     {
    952      "data": {
    953       "text/plain": [
    954        "<matplotlib.axes._subplots.AxesSubplot at 0x1a18462b70>"
    955       ]
    956      },
    957      "execution_count": 21,
    958      "metadata": {},
    959      "output_type": "execute_result"
    960     },
    961     {
    962      "data": {
    963       "image/png": 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\n",
    964       "text/plain": [
    965        "<Figure size 864x360 with 1 Axes>"
    966       ]
    967      },
    968      "metadata": {
    969       "needs_background": "light"
    970      },
    971      "output_type": "display_data"
    972     }
    973    ],
    974    "source": [
    975     "btr = erk.run_cppi(tmi_return[\"1999\":], drawdown=0.25)\n",
    976     "ax = btr[\"Wealth\"].plot(figsize=(12,5))\n",
    977     "btr[\"Risky Wealth\"].plot(ax=ax, style=\"--\")"
    978    ]
    979   },
    980   {
    981    "cell_type": "code",
    982    "execution_count": 22,
    983    "metadata": {},
    984    "outputs": [
    985     {
    986      "data": {
    987       "text/html": [
    988        "<div>\n",
    989        "<style scoped>\n",
    990        "    .dataframe tbody tr th:only-of-type {\n",
    991        "        vertical-align: middle;\n",
    992        "    }\n",
    993        "\n",
    994        "    .dataframe tbody tr th {\n",
    995        "        vertical-align: top;\n",
    996        "    }\n",
    997        "\n",
    998        "    .dataframe thead th {\n",
    999        "        text-align: right;\n",
   1000        "    }\n",
   1001        "</style>\n",
   1002        "<table border=\"1\" class=\"dataframe\">\n",
   1003        "  <thead>\n",
   1004        "    <tr style=\"text-align: right;\">\n",
   1005        "      <th></th>\n",
   1006        "      <th>Annualized Return</th>\n",
   1007        "      <th>Annualized Vol</th>\n",
   1008        "      <th>Sharpe Ratio</th>\n",
   1009        "      <th>Max Drawdown</th>\n",
   1010        "    </tr>\n",
   1011        "  </thead>\n",
   1012        "  <tbody>\n",
   1013        "    <tr>\n",
   1014        "      <th>R</th>\n",
   1015        "      <td>0.052391</td>\n",
   1016        "      <td>0.078951</td>\n",
   1017        "      <td>0.275935</td>\n",
   1018        "      <td>-0.220824</td>\n",
   1019        "    </tr>\n",
   1020        "  </tbody>\n",
   1021        "</table>\n",
   1022        "</div>"
   1023       ],
   1024       "text/plain": [
   1025        "   Annualized Return  Annualized Vol  Sharpe Ratio  Max Drawdown\n",
   1026        "R           0.052391        0.078951      0.275935     -0.220824"
   1027       ]
   1028      },
   1029      "execution_count": 22,
   1030      "metadata": {},
   1031      "output_type": "execute_result"
   1032     }
   1033    ],
   1034    "source": [
   1035     "erk.summary_stats(btr[\"Wealth\"].pct_change().dropna())[[\"Annualized Return\", \"Annualized Vol\", \"Sharpe Ratio\", \"Max Drawdown\"]]"
   1036    ]
   1037   },
   1038   {
   1039    "cell_type": "code",
   1040    "execution_count": 23,
   1041    "metadata": {},
   1042    "outputs": [
   1043     {
   1044      "data": {
   1045       "text/html": [
   1046        "<div>\n",
   1047        "<style scoped>\n",
   1048        "    .dataframe tbody tr th:only-of-type {\n",
   1049        "        vertical-align: middle;\n",
   1050        "    }\n",
   1051        "\n",
   1052        "    .dataframe tbody tr th {\n",
   1053        "        vertical-align: top;\n",
   1054        "    }\n",
   1055        "\n",
   1056        "    .dataframe thead th {\n",
   1057        "        text-align: right;\n",
   1058        "    }\n",
   1059        "</style>\n",
   1060        "<table border=\"1\" class=\"dataframe\">\n",
   1061        "  <thead>\n",
   1062        "    <tr style=\"text-align: right;\">\n",
   1063        "      <th></th>\n",
   1064        "      <th>Annualized Return</th>\n",
   1065        "      <th>Annualized Vol</th>\n",
   1066        "      <th>Sharpe Ratio</th>\n",
   1067        "      <th>Max Drawdown</th>\n",
   1068        "    </tr>\n",
   1069        "  </thead>\n",
   1070        "  <tbody>\n",
   1071        "    <tr>\n",
   1072        "      <th>R</th>\n",
   1073        "      <td>0.06137</td>\n",
   1074        "      <td>0.148571</td>\n",
   1075        "      <td>0.205314</td>\n",
   1076        "      <td>-0.499943</td>\n",
   1077        "    </tr>\n",
   1078        "  </tbody>\n",
   1079        "</table>\n",
   1080        "</div>"
   1081       ],
   1082       "text/plain": [
   1083        "   Annualized Return  Annualized Vol  Sharpe Ratio  Max Drawdown\n",
   1084        "R            0.06137        0.148571      0.205314     -0.499943"
   1085       ]
   1086      },
   1087      "execution_count": 23,
   1088      "metadata": {},
   1089      "output_type": "execute_result"
   1090     }
   1091    ],
   1092    "source": [
   1093     "erk.summary_stats(btr[\"Risky Wealth\"].pct_change().dropna())[[\"Annualized Return\", \"Annualized Vol\", \"Sharpe Ratio\", \"Max Drawdown\"]]"
   1094    ]
   1095   },
   1096   {
   1097    "cell_type": "code",
   1098    "execution_count": null,
   1099    "metadata": {},
   1100    "outputs": [],
   1101    "source": []
   1102   }
   1103  ],
   1104  "metadata": {
   1105   "kernelspec": {
   1106    "display_name": "Python 3",
   1107    "language": "python",
   1108    "name": "python3"
   1109   },
   1110   "language_info": {
   1111    "codemirror_mode": {
   1112     "name": "ipython",
   1113     "version": 3
   1114    },
   1115    "file_extension": ".py",
   1116    "mimetype": "text/x-python",
   1117    "name": "python",
   1118    "nbconvert_exporter": "python",
   1119    "pygments_lexer": "ipython3",
   1120    "version": "3.8.8"
   1121   }
   1122  },
   1123  "nbformat": 4,
   1124  "nbformat_minor": 2
   1125 }