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@FilippoGuerrieri26
Created October 6, 2023 14:06
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Low Volatility Factor
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{
"cells": [
{
"cell_type": "markdown",
"id": "3d65a76a-e1e5-4735-b90c-978761f157b5",
"metadata": {},
"source": [
"# Low Volatility Factor and the Smart Beta Implementation"
]
},
{
"cell_type": "markdown",
"id": "762b781c-1ffb-4cfa-8e34-650597ddb8b0",
"metadata": {},
"source": [
"The low-volatility factor refers to the tendency of stocks with lower price fluctuations to outperform their higher-volatility counterparts over the long term, particularly on a risk-adjusted basis.\n",
"\n",
"Low-volatility stocks are typically characterized by their stable earnings, cash flows, and dividends, as well as their presence in defensive industries. They often demonstrate lower sensitivity to market movements, as indicated by their low beta values."
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "3cbe2e2e-c328-4b89-835d-568a9d8fd12a",
"metadata": {},
"outputs": [],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import statsmodels.api as sm\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "markdown",
"id": "ca68e9ed-065c-4cac-882b-c04010a4efbf",
"metadata": {},
"source": [
"# 1. load Data"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "8de15284-cf78-4348-924d-b5ecf5d65c53",
"metadata": {},
"outputs": [],
"source": [
"returns = pd.read_excel(\"../sep500_returns.xlsx\")\n",
"factors = pd.read_excel(\"../FF_factors_monthly.xlsx\")\n",
"returns.set_index(\"Date\", inplace=True)\n",
"factors.set_index(\"Date\", inplace=True)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "5bc25fd9-dce6-484e-89c4-9038576173dc",
"metadata": {},
"outputs": [],
"source": [
"# Engineer back the MKT returns\n",
"factors[\"MKT\"] = factors[\"Mkt-RF\"] + factors[\"RF\"]"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "5b3394d3-935b-448b-add2-11274729eca6",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"( A AAL AAPL ABT ACGL ACN \\\n",
" Date \n",
" 2010-02-28 0.122369 0.380414 0.065396 0.025312 0.034107 -0.024884 \n",
" 2010-03-31 0.093134 0.002728 0.148471 -0.029477 0.030684 0.049537 \n",
" 2010-04-30 0.054376 -0.038095 0.111021 -0.020672 -0.008787 0.049417 \n",
" \n",
" ADBE ADI ADM ADP ... CPT GOOG \\\n",
" Date ... \n",
" 2010-02-28 0.072755 0.084570 -0.015393 0.020103 ... 0.033015 -0.005925 \n",
" 2010-03-31 0.020779 -0.007663 -0.015667 0.077120 ... 0.050538 0.076538 \n",
" 2010-04-30 -0.050042 0.038514 -0.033218 -0.024735 ... 0.163344 -0.073036 \n",
" \n",
" GOOGL KMX LNT MMM MO T \\\n",
" Date \n",
" 2010-02-28 -0.005925 -0.021328 0.013782 0.002315 0.013092 -0.021688 \n",
" 2010-03-31 0.076538 0.244180 0.051533 0.042670 0.037319 0.041516 \n",
" 2010-04-30 -0.073036 -0.021895 0.040277 0.061026 0.032651 0.030290 \n",
" \n",
" TECH WRB \n",
" Date \n",
" 2010-02-28 -0.021751 0.057953 \n",
" 2010-03-31 -0.005319 0.015962 \n",
" 2010-04-30 0.041995 0.034879 \n",
" \n",
" [3 rows x 87 columns],\n",
" Mkt-RF SMB HML RF MKT\n",
" Date \n",
" 2010-02-28 0.034190 0.011231 0.032191 0.00000 0.034190\n",
" 2010-03-31 0.062818 0.013868 0.021340 0.00000 0.062818\n",
" 2010-04-30 0.020073 0.047517 0.028705 0.00021 0.020283)"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"returns.head(3), factors.head(3)"
]
},
{
"cell_type": "markdown",
"id": "8094cc51-644d-47ab-bd8e-7d62e93394d5",
"metadata": {},
"source": [
"# 2. Low Volatility Specifications"
]
},
{
"cell_type": "markdown",
"id": "2807f19e-80ce-4016-875c-ad0c8eb7f768",
"metadata": {},
"source": [
"In the financial literature, different specifications have been used for this factor. Some of them include:<br>\n",
"1. Total Volatility\n",
"2. CAPM Beta\n",
"3. Idiosyncratic Volatility\n",
"\n",
"The Smart Beta approach requires ease of implementation, alongside a restriction on long-only positions in the portfolio. This is because the final \"product\" must be easily reproducible and have low turnover / costs <br>\n",
"\n",
"To do this, we would have to rank securitites acording to the volatility signal, and select only the \"top performer\" given a certain coverage threshold on our stock universe. So, assuming we set a threshold at 50% universe coverage, we should select stocks such as the sum of their Market Cap represents 50% of the universe.\n",
"\n",
"In our exercise, to make things easier, we will select the top 50 performers (ignoring therefore the threshold on market Cap coverage) and implement an equally-weighted scheme. Different weighting schemes are used in practice (Capitalization Weighting and Scaling, opposed to Signal Weighting and Scaling), but this is not the topic of this notebook. "
]
},
{
"cell_type": "markdown",
"id": "180585c0-86a8-49df-afbb-b24561b3561d",
"metadata": {},
"source": [
"## 2A. Total Volatility"
]
},
{
"cell_type": "markdown",
"id": "e10613bc-57f5-4ab7-80d2-962d0034dd5f",
"metadata": {},
"source": [
"### 12-Month Specification"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "9ca64c5d-c493-40d6-a891-20855e755c20",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7fb3c91ecaf0>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1296x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"window = 12\n",
"vol_rank = returns.rolling(window=window).std(ddof=1).dropna().rank(axis=1)\n",
"weights = pd.DataFrame(np.where(vol_rank <= 50, 1/50, 0), index=vol_rank.index, columns=vol_rank.columns)\n",
"backtest = (returns * weights.shift(1)).dropna().sum(axis=1)\n",
"# Plot\n",
"(backtest + 1).cumprod().plot(figsize=(18, 8), label=f\"Low Vol {window} Months\")\n",
"(factors[\"MKT\"].reindex_like(backtest) + 1).cumprod().plot(label=f\"Mkt {window} Months\")\n",
"plt.title(\"Low Volatility Factor Performance vs Market\")\n",
"plt.legend()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "5878a3c2-f370-4a99-b41e-dfe232d1d452",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Low Volatility Sharpe: 1.03 \n",
"Market Sharpe: 0.82\n"
]
}
],
"source": [
"# Calculate Annualised Sharpe Ratio to evaluate performance against Market\n",
"low_vol_sharpe = (backtest.mean() - factors[\"RF\"].reindex_like(backtest).mean()) / backtest.std() * np.sqrt(12)\n",
"market_sharpe = (factors[\"MKT\"].reindex_like(backtest).mean() - factors[\"RF\"].reindex_like(backtest).mean()) / factors[\"MKT\"].reindex_like(backtest).std() * np.sqrt(12)\n",
"print(\"Low Volatility Sharpe: {l} \\nMarket Sharpe: {m}\".format(l=round(low_vol_sharpe, 2), m=round(market_sharpe, 2)))"
]
},
{
"cell_type": "markdown",
"id": "15eb9edc-1caa-48b7-9a6d-e0e9c819e761",
"metadata": {},
"source": [
"### 36-Month Specification"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "e321988a-a3d7-447f-bcdb-4e7f8cbe1da1",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7fb3c99d6d60>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1296x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"window = 36\n",
"vol_rank = returns.rolling(window=window).std(ddof=1).dropna().rank(axis=1)\n",
"weights = pd.DataFrame(np.where(vol_rank <= 50, 1/50, 0), index=vol_rank.index, columns=vol_rank.columns)\n",
"backtest = (returns * weights.shift(1)).dropna().sum(axis=1)\n",
"# Plot\n",
"(backtest + 1).cumprod().plot(figsize=(18, 8), label=f\"Low Vol {window} Months\")\n",
"(factors[\"MKT\"].reindex_like(backtest) + 1).cumprod().plot(label=f\"Mkt {window} Months\")\n",
"plt.title(\"Low Volatility Factor Performance vs Market\")\n",
"plt.legend()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "d7b20c1e-3f49-4130-ae4d-e11d247df7a6",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Low Volatility Sharpe: 1.01 \n",
"Market Sharpe: 0.83\n"
]
}
],
"source": [
"# Calculate Annualised Sharpe Ratio to evaluate performance against Market\n",
"low_vol_sharpe = (backtest.mean() - factors[\"RF\"].reindex_like(backtest).mean()) / backtest.std() * np.sqrt(12)\n",
"market_sharpe = (factors[\"MKT\"].reindex_like(backtest).mean() - factors[\"RF\"].reindex_like(backtest).mean()) / factors[\"MKT\"].reindex_like(backtest).std() * np.sqrt(12)\n",
"print(\"Low Volatility Sharpe: {l} \\nMarket Sharpe: {m}\".format(l=round(low_vol_sharpe, 2), m=round(market_sharpe, 2)))"
]
},
{
"cell_type": "markdown",
"id": "296c540a-5291-4c01-a092-89e49a4a77c3",
"metadata": {},
"source": [
"We observe that for both time windows (12 or 36 months), the long-only low Volatility specification has delivered superior cumulative performance when compared to the Market over the same period"
]
},
{
"cell_type": "markdown",
"id": "7da4a80e-ccd3-46e6-b677-9583da68d07f",
"metadata": {
"tags": []
},
"source": [
"## 2B. CAPM Beta"
]
},
{
"cell_type": "markdown",
"id": "80a82fd6-36de-448d-bd30-e6a7451f50e6",
"metadata": {},
"source": [
"The beta from a CAPM regression is used in this factor specification as a signal to rank securities.\n",
"\n",
"Further, we need to store the regression residuals as well, since we are going to use them for our last specification of the low volatility factor"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "450c4038-b5ed-4b32-b045-74a75df07d24",
"metadata": {},
"outputs": [],
"source": [
"excess_returns = returns.sub(factors.RF, axis=0).reset_index(drop=True)"
]
},
{
"cell_type": "markdown",
"id": "48215723-bd59-4214-9459-92221716145a",
"metadata": {},
"source": [
"### 12-Month Specification"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "48d7b967-81ee-4e05-b3c7-6a2e479e8356",
"metadata": {},
"outputs": [],
"source": [
"betas = {}\n",
"residuals_12m = {}\n",
"mkt_excess_ret = factors[\"Mkt-RF\"].copy().reset_index(drop=True)\n",
"window = 12\n",
"\n",
"for s in excess_returns.columns:\n",
" asset_betas = []\n",
" asset_residuals = []\n",
" for i in range(excess_returns.shape[0] - window):\n",
" model = sm.OLS(excess_returns[s].iloc[i : i + window - 1], mkt_excess_ret.iloc[i : i + window - 1])\n",
" model_res = model.fit()\n",
" asset_betas.append(model_res.params[0])\n",
" asset_residuals.append(np.std(model_res.resid))\n",
" betas[s] = asset_betas\n",
" residuals_12m[s] = asset_residuals"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "f217bc72-135e-483e-ae35-407c63a2d19f",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>A</th>\n",
" <th>AAL</th>\n",
" <th>AAPL</th>\n",
" <th>ABT</th>\n",
" <th>ACGL</th>\n",
" <th>ACN</th>\n",
" <th>ADBE</th>\n",
" <th>ADI</th>\n",
" <th>ADM</th>\n",
" <th>ADP</th>\n",
" <th>...</th>\n",
" <th>CPT</th>\n",
" <th>GOOG</th>\n",
" <th>GOOGL</th>\n",
" <th>KMX</th>\n",
" <th>LNT</th>\n",
" <th>MMM</th>\n",
" <th>MO</th>\n",
" <th>T</th>\n",
" <th>TECH</th>\n",
" <th>WRB</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Date</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2023-05-31</th>\n",
" <td>1.019727</td>\n",
" <td>1.794334</td>\n",
" <td>1.395606</td>\n",
" <td>0.490534</td>\n",
" <td>0.411192</td>\n",
" <td>1.198591</td>\n",
" <td>1.838979</td>\n",
" <td>1.269753</td>\n",
" <td>0.835897</td>\n",
" <td>0.844240</td>\n",
" <td>...</td>\n",
" <td>0.650785</td>\n",
" <td>1.079596</td>\n",
" <td>1.074764</td>\n",
" <td>1.406363</td>\n",
" <td>0.653924</td>\n",
" <td>1.098576</td>\n",
" <td>0.877196</td>\n",
" <td>0.867937</td>\n",
" <td>1.049582</td>\n",
" <td>0.166417</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2023-06-30</th>\n",
" <td>1.021484</td>\n",
" <td>1.778525</td>\n",
" <td>1.393996</td>\n",
" <td>0.505940</td>\n",
" <td>0.428333</td>\n",
" <td>1.194754</td>\n",
" <td>1.838741</td>\n",
" <td>1.263949</td>\n",
" <td>0.833659</td>\n",
" <td>0.843358</td>\n",
" <td>...</td>\n",
" <td>0.650018</td>\n",
" <td>1.083479</td>\n",
" <td>1.078247</td>\n",
" <td>1.430027</td>\n",
" <td>0.665572</td>\n",
" <td>1.102554</td>\n",
" <td>0.883078</td>\n",
" <td>0.867613</td>\n",
" <td>1.057127</td>\n",
" <td>0.163932</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2023-07-31</th>\n",
" <td>1.044670</td>\n",
" <td>1.466560</td>\n",
" <td>1.477689</td>\n",
" <td>0.423759</td>\n",
" <td>0.407565</td>\n",
" <td>1.271243</td>\n",
" <td>1.923124</td>\n",
" <td>1.202092</td>\n",
" <td>0.653140</td>\n",
" <td>0.876697</td>\n",
" <td>...</td>\n",
" <td>0.640144</td>\n",
" <td>1.208433</td>\n",
" <td>1.199787</td>\n",
" <td>1.503097</td>\n",
" <td>0.599698</td>\n",
" <td>0.999481</td>\n",
" <td>0.562451</td>\n",
" <td>0.985601</td>\n",
" <td>1.117654</td>\n",
" <td>0.116951</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>3 rows × 87 columns</p>\n",
"</div>"
],
"text/plain": [
" A AAL AAPL ABT ACGL ACN \\\n",
"Date \n",
"2023-05-31 1.019727 1.794334 1.395606 0.490534 0.411192 1.198591 \n",
"2023-06-30 1.021484 1.778525 1.393996 0.505940 0.428333 1.194754 \n",
"2023-07-31 1.044670 1.466560 1.477689 0.423759 0.407565 1.271243 \n",
"\n",
" ADBE ADI ADM ADP ... CPT GOOG \\\n",
"Date ... \n",
"2023-05-31 1.838979 1.269753 0.835897 0.844240 ... 0.650785 1.079596 \n",
"2023-06-30 1.838741 1.263949 0.833659 0.843358 ... 0.650018 1.083479 \n",
"2023-07-31 1.923124 1.202092 0.653140 0.876697 ... 0.640144 1.208433 \n",
"\n",
" GOOGL KMX LNT MMM MO T \\\n",
"Date \n",
"2023-05-31 1.074764 1.406363 0.653924 1.098576 0.877196 0.867937 \n",
"2023-06-30 1.078247 1.430027 0.665572 1.102554 0.883078 0.867613 \n",
"2023-07-31 1.199787 1.503097 0.599698 0.999481 0.562451 0.985601 \n",
"\n",
" TECH WRB \n",
"Date \n",
"2023-05-31 1.049582 0.166417 \n",
"2023-06-30 1.057127 0.163932 \n",
"2023-07-31 1.117654 0.116951 \n",
"\n",
"[3 rows x 87 columns]"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_betas = pd.DataFrame(betas, index=returns.index[window :])\n",
"df_betas.tail(3)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "d0c021b7-adde-4921-a8ac-9ba5477f5985",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7fb3ca029040>"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 1296x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"vol_rank = df_betas.rank(axis=1)\n",
"weights = pd.DataFrame(np.where(vol_rank <= 50, 1/50, 0), index=vol_rank.index, columns=vol_rank.columns)\n",
"backtest = (returns * weights.shift(1)).dropna().sum(axis=1)\n",
"# Plot\n",
"(backtest + 1).cumprod().plot(figsize=(18, 8), label=f\"Low Vol 12 Months\")\n",
"(factors[\"MKT\"].reindex_like(backtest) + 1).cumprod().plot(label=f\"Mkt 12 Months\")\n",
"plt.title(\"Low Volatility Factor Performance vs Market\")\n",
"plt.legend()"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "aa1ffeec-f837-477c-a64a-c73881c842d5",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Low Volatility Sharpe: 1.04 \n",
"Market Sharpe: 0.81\n"
]
}
],
"source": [
"# Calculate Annualised Sharpe Ratio to evaluate performance against Market\n",
"low_vol_sharpe = (backtest.mean() - factors[\"RF\"].reindex_like(backtest).mean()) / backtest.std() * np.sqrt(12)\n",
"market_sharpe = (factors[\"MKT\"].reindex_like(backtest).mean() - factors[\"RF\"].reindex_like(backtest).mean()) / factors[\"MKT\"].reindex_like(backtest).std() * np.sqrt(12)\n",
"print(\"Low Volatility Sharpe: {l} \\nMarket Sharpe: {m}\".format(l=round(low_vol_sharpe, 2), m=round(market_sharpe, 2)))"
]
},
{
"cell_type": "markdown",
"id": "fc2876c5-b651-46fc-a4f3-c460afd5969a",
"metadata": {},
"source": [
"### 36-Month Specification"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "d88c2e99-0954-43e3-997d-9e880b4b68d0",
"metadata": {},
"outputs": [],
"source": [
"betas = {}\n",
"residuals_36m = {}\n",
"window = 36\n",
"\n",
"for s in excess_returns.columns:\n",
" asset_betas = []\n",
" asset_residuals = []\n",
" for i in range(excess_returns.shape[0] - window):\n",
" model = sm.OLS(excess_returns[s].iloc[i : i + window - 1], mkt_excess_ret.iloc[i : i + window - 1])\n",
" model_res = model.fit()\n",
" asset_betas.append(model_res.params[0])\n",
" asset_residuals.append(np.std(model_res.resid))\n",
" betas[s] = asset_betas\n",
" residuals_36m[s] = asset_residuals"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "77323deb-4ce8-447a-bdd7-df9e131d3ef2",
"metadata": {},
"outputs": [
{
"data": {
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"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>A</th>\n",
" <th>AAL</th>\n",
" <th>AAPL</th>\n",
" <th>ABT</th>\n",
" <th>ACGL</th>\n",
" <th>ACN</th>\n",
" <th>ADBE</th>\n",
" <th>ADI</th>\n",
" <th>ADM</th>\n",
" <th>ADP</th>\n",
" <th>...</th>\n",
" <th>CPT</th>\n",
" <th>GOOG</th>\n",
" <th>GOOGL</th>\n",
" <th>KMX</th>\n",
" <th>LNT</th>\n",
" <th>MMM</th>\n",
" <th>MO</th>\n",
" <th>T</th>\n",
" <th>TECH</th>\n",
" <th>WRB</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Date</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2023-05-31</th>\n",
" <td>1.123921</td>\n",
" <td>1.197007</td>\n",
" <td>1.394196</td>\n",
" <td>0.617643</td>\n",
" <td>0.720429</td>\n",
" <td>1.350976</td>\n",
" <td>1.495443</td>\n",
" <td>0.920203</td>\n",
" <td>0.686523</td>\n",
" <td>0.769153</td>\n",
" <td>...</td>\n",
" <td>0.697337</td>\n",
" <td>1.181894</td>\n",
" <td>1.167150</td>\n",
" <td>1.205842</td>\n",
" <td>0.529314</td>\n",
" <td>0.849429</td>\n",
" <td>0.658897</td>\n",
" <td>0.435740</td>\n",
" <td>1.290077</td>\n",
" <td>0.452402</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2023-06-30</th>\n",
" <td>1.074173</td>\n",
" <td>1.298405</td>\n",
" <td>1.391421</td>\n",
" <td>0.625233</td>\n",
" <td>0.652347</td>\n",
" <td>1.342169</td>\n",
" <td>1.488291</td>\n",
" <td>0.922844</td>\n",
" <td>0.667896</td>\n",
" <td>0.792546</td>\n",
" <td>...</td>\n",
" <td>0.699546</td>\n",
" <td>1.187464</td>\n",
" <td>1.169176</td>\n",
" <td>1.139926</td>\n",
" <td>0.538606</td>\n",
" <td>0.853792</td>\n",
" <td>0.685634</td>\n",
" <td>0.437604</td>\n",
" <td>1.235474</td>\n",
" <td>0.422350</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2023-07-31</th>\n",
" <td>1.074446</td>\n",
" <td>1.248083</td>\n",
" <td>1.364679</td>\n",
" <td>0.635489</td>\n",
" <td>0.649967</td>\n",
" <td>1.337262</td>\n",
" <td>1.469577</td>\n",
" <td>0.906574</td>\n",
" <td>0.665038</td>\n",
" <td>0.789999</td>\n",
" <td>...</td>\n",
" <td>0.700586</td>\n",
" <td>1.202175</td>\n",
" <td>1.183955</td>\n",
" <td>1.143652</td>\n",
" <td>0.547180</td>\n",
" <td>0.855907</td>\n",
" <td>0.680728</td>\n",
" <td>0.441477</td>\n",
" <td>1.244514</td>\n",
" <td>0.425266</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>3 rows × 87 columns</p>\n",
"</div>"
],
"text/plain": [
" A AAL AAPL ABT ACGL ACN \\\n",
"Date \n",
"2023-05-31 1.123921 1.197007 1.394196 0.617643 0.720429 1.350976 \n",
"2023-06-30 1.074173 1.298405 1.391421 0.625233 0.652347 1.342169 \n",
"2023-07-31 1.074446 1.248083 1.364679 0.635489 0.649967 1.337262 \n",
"\n",
" ADBE ADI ADM ADP ... CPT GOOG \\\n",
"Date ... \n",
"2023-05-31 1.495443 0.920203 0.686523 0.769153 ... 0.697337 1.181894 \n",
"2023-06-30 1.488291 0.922844 0.667896 0.792546 ... 0.699546 1.187464 \n",
"2023-07-31 1.469577 0.906574 0.665038 0.789999 ... 0.700586 1.202175 \n",
"\n",
" GOOGL KMX LNT MMM MO T \\\n",
"Date \n",
"2023-05-31 1.167150 1.205842 0.529314 0.849429 0.658897 0.435740 \n",
"2023-06-30 1.169176 1.139926 0.538606 0.853792 0.685634 0.437604 \n",
"2023-07-31 1.183955 1.143652 0.547180 0.855907 0.680728 0.441477 \n",
"\n",
" TECH WRB \n",
"Date \n",
"2023-05-31 1.290077 0.452402 \n",
"2023-06-30 1.235474 0.422350 \n",
"2023-07-31 1.244514 0.425266 \n",
"\n",
"[3 rows x 87 columns]"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_betas = pd.DataFrame(betas, index=returns.index[window :])\n",
"df_betas.tail(3)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "c8980118-278b-4695-a227-8692e13af19e",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7fb3ca02b820>"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 1296x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"vol_rank = df_betas.rank(axis=1)\n",
"weights = pd.DataFrame(np.where(vol_rank <= 50, 1/50, 0), index=vol_rank.index, columns=vol_rank.columns)\n",
"backtest = (returns * weights.shift(1)).dropna().sum(axis=1)\n",
"# Plot\n",
"(backtest + 1).cumprod().plot(figsize=(18, 8), label=f\"Low Vol 36 Months\")\n",
"(factors[\"MKT\"].reindex_like(backtest) + 1).cumprod().plot(label=f\"Mkt 36 Months\")\n",
"plt.title(\"Low Volatility Factor Performance vs Market\")\n",
"plt.legend()"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "04c89dac-ce30-4d73-a439-4554f8f268d1",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Low Volatility Sharpe: 0.99 \n",
"Market Sharpe: 0.83\n"
]
}
],
"source": [
"# Calculate Annualised Sharpe Ratio to evaluate performance against Market\n",
"low_vol_sharpe = (backtest.mean() - factors[\"RF\"].reindex_like(backtest).mean()) / backtest.std() * np.sqrt(12)\n",
"market_sharpe = (factors[\"MKT\"].reindex_like(backtest).mean() - factors[\"RF\"].reindex_like(backtest).mean()) / factors[\"MKT\"].reindex_like(backtest).std() * np.sqrt(12)\n",
"print(\"Low Volatility Sharpe: {l} \\nMarket Sharpe: {m}\".format(l=round(low_vol_sharpe, 2), m=round(market_sharpe, 2)))"
]
},
{
"cell_type": "markdown",
"id": "cad9b8dc-4ddf-4049-87b0-4741ec598dba",
"metadata": {},
"source": [
"## 2C. Idiosyncratic Volatility"
]
},
{
"cell_type": "markdown",
"id": "f977083b-fda2-4510-bb78-e7070deb1334",
"metadata": {},
"source": [
"### 12-Month Specification"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "0ab8112d-1f4e-463e-a617-a2b3e2b188da",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>A</th>\n",
" <th>AAL</th>\n",
" <th>AAPL</th>\n",
" <th>ABT</th>\n",
" <th>ACGL</th>\n",
" <th>ACN</th>\n",
" <th>ADBE</th>\n",
" <th>ADI</th>\n",
" <th>ADM</th>\n",
" <th>ADP</th>\n",
" <th>...</th>\n",
" <th>CPT</th>\n",
" <th>GOOG</th>\n",
" <th>GOOGL</th>\n",
" <th>KMX</th>\n",
" <th>LNT</th>\n",
" <th>MMM</th>\n",
" <th>MO</th>\n",
" <th>T</th>\n",
" <th>TECH</th>\n",
" <th>WRB</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Date</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2023-05-31</th>\n",
" <td>0.045805</td>\n",
" <td>0.085334</td>\n",
" <td>0.050297</td>\n",
" <td>0.039569</td>\n",
" <td>0.075085</td>\n",
" <td>0.023979</td>\n",
" <td>0.068571</td>\n",
" <td>0.069982</td>\n",
" <td>0.076205</td>\n",
" <td>0.047261</td>\n",
" <td>...</td>\n",
" <td>0.045381</td>\n",
" <td>0.061129</td>\n",
" <td>0.059524</td>\n",
" <td>0.088074</td>\n",
" <td>0.048282</td>\n",
" <td>0.049684</td>\n",
" <td>0.063025</td>\n",
" <td>0.085431</td>\n",
" <td>0.059063</td>\n",
" <td>0.065031</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2023-06-30</th>\n",
" <td>0.043336</td>\n",
" <td>0.087840</td>\n",
" <td>0.046963</td>\n",
" <td>0.047480</td>\n",
" <td>0.077251</td>\n",
" <td>0.024922</td>\n",
" <td>0.067187</td>\n",
" <td>0.074456</td>\n",
" <td>0.075856</td>\n",
" <td>0.047226</td>\n",
" <td>...</td>\n",
" <td>0.047188</td>\n",
" <td>0.062092</td>\n",
" <td>0.060203</td>\n",
" <td>0.074435</td>\n",
" <td>0.040633</td>\n",
" <td>0.044966</td>\n",
" <td>0.065654</td>\n",
" <td>0.078974</td>\n",
" <td>0.064119</td>\n",
" <td>0.062068</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2023-07-31</th>\n",
" <td>0.062471</td>\n",
" <td>0.079888</td>\n",
" <td>0.047020</td>\n",
" <td>0.051870</td>\n",
" <td>0.083590</td>\n",
" <td>0.034316</td>\n",
" <td>0.072458</td>\n",
" <td>0.074034</td>\n",
" <td>0.077176</td>\n",
" <td>0.049359</td>\n",
" <td>...</td>\n",
" <td>0.047719</td>\n",
" <td>0.072035</td>\n",
" <td>0.071396</td>\n",
" <td>0.073456</td>\n",
" <td>0.044217</td>\n",
" <td>0.051873</td>\n",
" <td>0.051565</td>\n",
" <td>0.080558</td>\n",
" <td>0.063499</td>\n",
" <td>0.063375</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>3 rows × 87 columns</p>\n",
"</div>"
],
"text/plain": [
" A AAL AAPL ABT ACGL ACN \\\n",
"Date \n",
"2023-05-31 0.045805 0.085334 0.050297 0.039569 0.075085 0.023979 \n",
"2023-06-30 0.043336 0.087840 0.046963 0.047480 0.077251 0.024922 \n",
"2023-07-31 0.062471 0.079888 0.047020 0.051870 0.083590 0.034316 \n",
"\n",
" ADBE ADI ADM ADP ... CPT GOOG \\\n",
"Date ... \n",
"2023-05-31 0.068571 0.069982 0.076205 0.047261 ... 0.045381 0.061129 \n",
"2023-06-30 0.067187 0.074456 0.075856 0.047226 ... 0.047188 0.062092 \n",
"2023-07-31 0.072458 0.074034 0.077176 0.049359 ... 0.047719 0.072035 \n",
"\n",
" GOOGL KMX LNT MMM MO T \\\n",
"Date \n",
"2023-05-31 0.059524 0.088074 0.048282 0.049684 0.063025 0.085431 \n",
"2023-06-30 0.060203 0.074435 0.040633 0.044966 0.065654 0.078974 \n",
"2023-07-31 0.071396 0.073456 0.044217 0.051873 0.051565 0.080558 \n",
"\n",
" TECH WRB \n",
"Date \n",
"2023-05-31 0.059063 0.065031 \n",
"2023-06-30 0.064119 0.062068 \n",
"2023-07-31 0.063499 0.063375 \n",
"\n",
"[3 rows x 87 columns]"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_residuals = pd.DataFrame(residuals_12m, index=returns.index[12 :])\n",
"df_residuals.tail(3)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "eb23245c-c9b4-4750-b9b9-28f51070a044",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7fb3c91ec5e0>"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 1296x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"vol_rank = df_residuals.rank(axis=1)\n",
"weights = pd.DataFrame(np.where(vol_rank <= 50, 1/50, 0), index=vol_rank.index, columns=vol_rank.columns)\n",
"backtest = (returns * weights.shift(1)).dropna().sum(axis=1)\n",
"# Plot\n",
"(backtest + 1).cumprod().plot(figsize=(18, 8), label=f\"Low Vol 12 Months\")\n",
"(factors[\"MKT\"].reindex_like(backtest) + 1).cumprod().plot(label=f\"Mkt 12 Months\")\n",
"plt.title(\"Low Volatility Factor Performance vs Market\")\n",
"plt.legend()"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "8b750658-2d19-482c-8337-cf1c28fde3c5",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Low Volatility Sharpe: 1.01 \n",
"Market Sharpe: 0.81\n"
]
}
],
"source": [
"# Calculate Annualised Sharpe Ratio to evaluate performance against Market\n",
"low_vol_sharpe = (backtest.mean() - factors[\"RF\"].reindex_like(backtest).mean()) / backtest.std() * np.sqrt(12)\n",
"market_sharpe = (factors[\"MKT\"].reindex_like(backtest).mean() - factors[\"RF\"].reindex_like(backtest).mean()) / factors[\"MKT\"].reindex_like(backtest).std() * np.sqrt(12)\n",
"print(\"Low Volatility Sharpe: {l} \\nMarket Sharpe: {m}\".format(l=round(low_vol_sharpe, 2), m=round(market_sharpe, 2)))"
]
},
{
"cell_type": "markdown",
"id": "89ddddd1-efcb-4b78-af1c-60f1a73c0cf0",
"metadata": {},
"source": [
"### 36-Month Specification"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "279b4de7-2c5c-4929-8e69-27e753254920",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
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"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>A</th>\n",
" <th>AAL</th>\n",
" <th>AAPL</th>\n",
" <th>ABT</th>\n",
" <th>ACGL</th>\n",
" <th>ACN</th>\n",
" <th>ADBE</th>\n",
" <th>ADI</th>\n",
" <th>ADM</th>\n",
" <th>ADP</th>\n",
" <th>...</th>\n",
" <th>CPT</th>\n",
" <th>GOOG</th>\n",
" <th>GOOGL</th>\n",
" <th>KMX</th>\n",
" <th>LNT</th>\n",
" <th>MMM</th>\n",
" <th>MO</th>\n",
" <th>T</th>\n",
" <th>TECH</th>\n",
" <th>WRB</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Date</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2023-05-31</th>\n",
" <td>0.044915</td>\n",
" <td>0.110973</td>\n",
" <td>0.057961</td>\n",
" <td>0.046855</td>\n",
" <td>0.065516</td>\n",
" <td>0.038360</td>\n",
" <td>0.070452</td>\n",
" <td>0.057919</td>\n",
" <td>0.065451</td>\n",
" <td>0.058842</td>\n",
" <td>...</td>\n",
" <td>0.048298</td>\n",
" <td>0.054807</td>\n",
" <td>0.053427</td>\n",
" <td>0.089224</td>\n",
" <td>0.058405</td>\n",
" <td>0.042635</td>\n",
" <td>0.066098</td>\n",
" <td>0.065593</td>\n",
" <td>0.071037</td>\n",
" <td>0.055192</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2023-06-30</th>\n",
" <td>0.043018</td>\n",
" <td>0.106918</td>\n",
" <td>0.057957</td>\n",
" <td>0.049259</td>\n",
" <td>0.063702</td>\n",
" <td>0.038577</td>\n",
" <td>0.070494</td>\n",
" <td>0.060486</td>\n",
" <td>0.065797</td>\n",
" <td>0.058387</td>\n",
" <td>...</td>\n",
" <td>0.048785</td>\n",
" <td>0.054985</td>\n",
" <td>0.053554</td>\n",
" <td>0.087400</td>\n",
" <td>0.058631</td>\n",
" <td>0.042699</td>\n",
" <td>0.066166</td>\n",
" <td>0.066706</td>\n",
" <td>0.069540</td>\n",
" <td>0.056090</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2023-07-31</th>\n",
" <td>0.050213</td>\n",
" <td>0.101497</td>\n",
" <td>0.055478</td>\n",
" <td>0.050410</td>\n",
" <td>0.065764</td>\n",
" <td>0.040703</td>\n",
" <td>0.070901</td>\n",
" <td>0.059874</td>\n",
" <td>0.068356</td>\n",
" <td>0.059336</td>\n",
" <td>...</td>\n",
" <td>0.049707</td>\n",
" <td>0.058535</td>\n",
" <td>0.057526</td>\n",
" <td>0.087606</td>\n",
" <td>0.059430</td>\n",
" <td>0.045778</td>\n",
" <td>0.067439</td>\n",
" <td>0.069098</td>\n",
" <td>0.069401</td>\n",
" <td>0.057100</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>3 rows × 87 columns</p>\n",
"</div>"
],
"text/plain": [
" A AAL AAPL ABT ACGL ACN \\\n",
"Date \n",
"2023-05-31 0.044915 0.110973 0.057961 0.046855 0.065516 0.038360 \n",
"2023-06-30 0.043018 0.106918 0.057957 0.049259 0.063702 0.038577 \n",
"2023-07-31 0.050213 0.101497 0.055478 0.050410 0.065764 0.040703 \n",
"\n",
" ADBE ADI ADM ADP ... CPT GOOG \\\n",
"Date ... \n",
"2023-05-31 0.070452 0.057919 0.065451 0.058842 ... 0.048298 0.054807 \n",
"2023-06-30 0.070494 0.060486 0.065797 0.058387 ... 0.048785 0.054985 \n",
"2023-07-31 0.070901 0.059874 0.068356 0.059336 ... 0.049707 0.058535 \n",
"\n",
" GOOGL KMX LNT MMM MO T \\\n",
"Date \n",
"2023-05-31 0.053427 0.089224 0.058405 0.042635 0.066098 0.065593 \n",
"2023-06-30 0.053554 0.087400 0.058631 0.042699 0.066166 0.066706 \n",
"2023-07-31 0.057526 0.087606 0.059430 0.045778 0.067439 0.069098 \n",
"\n",
" TECH WRB \n",
"Date \n",
"2023-05-31 0.071037 0.055192 \n",
"2023-06-30 0.069540 0.056090 \n",
"2023-07-31 0.069401 0.057100 \n",
"\n",
"[3 rows x 87 columns]"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_residuals = pd.DataFrame(residuals_36m, index=returns.index[36 :])\n",
"df_residuals.tail(3)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "27c50b2a-cb8c-49cf-b633-fe08c3f2e28c",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7fb3c3c1efd0>"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 1296x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"vol_rank = df_residuals.rank(axis=1)\n",
"weights = pd.DataFrame(np.where(vol_rank <= 50, 1/50, 0), index=vol_rank.index, columns=vol_rank.columns)\n",
"backtest = (returns * weights.shift(1)).dropna().sum(axis=1)\n",
"# Plot\n",
"(backtest + 1).cumprod().plot(figsize=(18, 8), label=f\"Low Vol 36 Months\")\n",
"(factors[\"MKT\"].reindex_like(backtest) + 1).cumprod().plot(label=f\"Mkt 36 Months\")\n",
"plt.title(\"Low Volatility Factor Performance vs Market\")\n",
"plt.legend()"
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "c9544594-fb2c-42e7-8f95-cf2224e03b84",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Low Volatility Sharpe: 1.0 \n",
"Market Sharpe: 0.83\n"
]
}
],
"source": [
"# Calculate Annualised Sharpe Ratio to evaluate performance against Market\n",
"low_vol_sharpe = (backtest.mean() - factors[\"RF\"].reindex_like(backtest).mean()) / backtest.std() * np.sqrt(12)\n",
"market_sharpe = (factors[\"MKT\"].reindex_like(backtest).mean() - factors[\"RF\"].reindex_like(backtest).mean()) / factors[\"MKT\"].reindex_like(backtest).std() * np.sqrt(12)\n",
"print(\"Low Volatility Sharpe: {l} \\nMarket Sharpe: {m}\".format(l=round(low_vol_sharpe, 2), m=round(market_sharpe, 2)))"
]
},
{
"cell_type": "markdown",
"id": "25013a55-4e6f-48d2-b7f8-cf79183d786e",
"metadata": {},
"source": [
"### Consistent with the financial literature, the Low Volatility Factor shows superior annualised risk-adjusted performance in all its specifications\n",
"### This is because historic volatility is a slow-moving signal"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "4c9bfda6-b2bf-4db5-a8e1-84d5376802d8",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.9.12"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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