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" ] }, { "cell_type": "markdown", "id": "48b3228b", "metadata": {}, "source": [ "This code cross-validates a parameterized trading strategy using historical data. It defines a cross-validation schema that splits data into training and testing sets based on specified time ranges. The code then applies a simple trading strategy, an EMA crossover with an ATR trailing stop, to each split. It evaluates the strategy's performance using the Sharpe ratio and performs parameter optimization to test various combinations. Finally, it analyzes the correlation between training and testing results to assess the strategy's robustness." ] }, { "cell_type": "code", "execution_count": 1, "id": "785f4c8d", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from pandas.tseries.frequencies import to_offset\n", "import vectorbtpro as vbt" ] }, { "cell_type": "markdown", "id": "ca356a7c", "metadata": {}, "source": [ "Set the theme for VectorBT plots to dark" ] }, { "cell_type": "code", "execution_count": 2, "id": "81e4fb7f", "metadata": {}, "outputs": [], "source": [ "vbt.settings.set_theme(\"dark\")" ] }, { "cell_type": "markdown", "id": "93718ad2", "metadata": {}, "source": [ "Define parameters for the data pull, including symbol, start and end dates, and timeframe" ] }, { "cell_type": "code", "execution_count": 3, "id": "15af4a7d", "metadata": {}, "outputs": [], "source": [ "SYMBOL = \"AAPL\"\n", "START = \"2010\"\n", "END = \"now\"\n", "TIMEFRAME = \"day\"" ] }, { "cell_type": "markdown", "id": "68e65272", "metadata": {}, "source": [ "Pull historical data for the specified symbol and timeframe" ] }, { "cell_type": "code", "execution_count": 4, "id": "c28fc62d", "metadata": {}, "outputs": [], "source": [ "data = vbt.YFData.pull(\n", " SYMBOL,\n", " start=START,\n", " end=END,\n", " timeframe=TIMEFRAME\n", ")" ] }, { "cell_type": "markdown", "id": "004a7434", "metadata": {}, "source": [ "Define parameters for the cross-validation schema, including training and testing periods" ] }, { "cell_type": "code", "execution_count": 14, "id": "62187c88", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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OpenHighLowCloseVolumeDividendsStock Splits
Date
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" ], "text/plain": [ " Open High Low Close \\\n", "Date \n", "2010-01-04 00:00:00-05:00 6.437013 6.469284 6.405345 6.454505 \n", "2010-01-05 00:00:00-05:00 6.472300 6.502158 6.431583 6.465664 \n", "2010-01-06 00:00:00-05:00 6.465664 6.491300 6.356183 6.362819 \n", "2010-01-07 00:00:00-05:00 6.386344 6.393884 6.304912 6.351056 \n", "2010-01-08 00:00:00-05:00 6.342613 6.393886 6.305216 6.393282 \n", "... ... ... ... ... \n", "2024-10-02 00:00:00-04:00 225.889999 227.369995 223.020004 226.779999 \n", "2024-10-03 00:00:00-04:00 225.139999 226.809998 223.320007 225.669998 \n", "2024-10-04 00:00:00-04:00 227.899994 228.000000 224.130005 226.800003 \n", "2024-10-07 00:00:00-04:00 224.500000 225.690002 221.330002 221.690002 \n", "2024-10-08 00:00:00-04:00 224.300003 225.979996 223.250000 225.770004 \n", "\n", " Volume Dividends Stock Splits \n", "Date \n", "2010-01-04 00:00:00-05:00 493729600 0.0 0.0 \n", "2010-01-05 00:00:00-05:00 601904800 0.0 0.0 \n", "2010-01-06 00:00:00-05:00 552160000 0.0 0.0 \n", "2010-01-07 00:00:00-05:00 477131200 0.0 0.0 \n", "2010-01-08 00:00:00-05:00 447610800 0.0 0.0 \n", "... ... ... ... \n", "2024-10-02 00:00:00-04:00 32880600 0.0 0.0 \n", "2024-10-03 00:00:00-04:00 34044200 0.0 0.0 \n", "2024-10-04 00:00:00-04:00 37245100 0.0 0.0 \n", "2024-10-07 00:00:00-04:00 39505400 0.0 0.0 \n", "2024-10-08 00:00:00-04:00 31634500 0.0 0.0 \n", "\n", "[3716 rows x 7 columns]" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data.data[\"AAPL\"]" ] }, { "cell_type": "code", "execution_count": 5, "id": "8044bc95", "metadata": {}, "outputs": [], "source": [ "TRAIN = 12\n", "TEST = 12\n", "EVERY = 3\n", "OFFSET = \"MS\"" ] }, { "cell_type": "markdown", "id": "f32836d0", "metadata": {}, "source": [ "Create a splitter object that divides the date range into training and testing sets" ] }, { "cell_type": "code", "execution_count": 6, "id": "4bb6df7a", "metadata": {}, "outputs": [], "source": [ "splitter = vbt.Splitter.from_ranges(\n", " data.index, \n", " every=f\"{EVERY}{OFFSET}\", \n", " lookback_period=f\"{TRAIN + TEST}{OFFSET}\",\n", " split=(\n", " vbt.RepFunc(lambda index: index < index[0] + TRAIN * to_offset(OFFSET)),\n", " vbt.RepFunc(lambda index: index >= index[0] + TRAIN * to_offset(OFFSET)),\n", " ),\n", " set_labels=[\"train\", \"test\"]\n", ")" ] }, { "cell_type": "markdown", "id": "d053230f", "metadata": {}, "source": [ "Display the splitter plots to visualize the training and testing sets" ] }, { "cell_type": "code", "execution_count": 7, "id": "a7d4f3b1", "metadata": { "lines_to_next_cell": 1 }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/davidbrazda/Documents/Development/python/strategy-lab1/.venv/lib/python3.10/site-packages/jupyter_client/session.py:721: UserWarning:\n", "\n", "Message serialization failed with:\n", "Out of range float values are not JSON compliant\n", "Supporting this message is deprecated in jupyter-client 7, please make sure your message is JSON-compliant\n", "\n", "/Users/davidbrazda/Documents/Development/python/strategy-lab1/.venv/lib/python3.10/site-packages/jupyter_client/session.py:721: UserWarning:\n", "\n", "Message serialization failed with:\n", "Out of range float values are not JSON compliant\n", "Supporting this message is deprecated in jupyter-client 7, please make sure your message is JSON-compliant\n", "\n" ] }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "colorscale": [ [ 0, "rgba(31,119,180,0.8000)" ], [ 1, "rgba(31,119,180,0.8000)" ] ], "hoverongaps": false, "hovertemplate": "%{x}
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"Count" } } } } }, "metadata": {}, "output_type": "display_data" } ], "source": [ "splitter.plots().show()" ] }, { "cell_type": "markdown", "id": "a5fb63bd", "metadata": {}, "source": [ "Define an objective function to execute a trading strategy with specific parameters" ] }, { "cell_type": "code", "execution_count": 8, "id": "89ffd31c", "metadata": { "lines_to_next_cell": 1 }, "outputs": [], "source": [ "def objective(data, fast_period=11, slow_period=20, atr_period=14, atr_mult=3):\n", " \"\"\"Execute EMA crossover with ATR trailing stop\n", " \n", " Parameters\n", " ----------\n", " data : vbt.Data\n", " Historical price data\n", " fast_period : int, optional\n", " Period for fast EMA, by default 10\n", " slow_period : int, optional\n", " Period for slow EMA, by default 20\n", " atr_period : int, optional\n", " Period for ATR, by default 14\n", " atr_mult : int, optional\n", " Multiplier for ATR trailing stop, by default 3\n", " \n", " Returns\n", " -------\n", " float\n", " Sharpe ratio of the strategy\n", " \"\"\"\n", " \n", " # Calculate fast and slow EMAs and ATR for the given periods\n", " fast_ema = data.run(\"talib:ema\", fast_period, short_name=\"fast_ema\", unpack=True)\n", " slow_ema = data.run(\"talib:ema\", slow_period, short_name=\"slow_ema\", unpack=True)\n", " atr = data.run(\"talib:atr\", atr_period, unpack=True)\n", " \n", " # Define a portfolio using EMA crossover signals and ATR trailing stop\n", " pf = vbt.PF.from_signals(\n", " data, \n", " entries=fast_ema.vbt.crossed_above(slow_ema), \n", " exits=fast_ema.vbt.crossed_below(slow_ema), \n", " tsl_stop=atr * atr_mult, \n", " save_returns=True,\n", " freq=TIMEFRAME\n", " )\n", " \n", " # Return the Sharpe ratio of the portfolio\n", " return pf.sharpe_ratio" ] }, { "cell_type": "markdown", "id": "435b9bc6", "metadata": {}, "source": [ "Print the Sharpe ratio for the objective function with default parameters" ] }, { "cell_type": "code", "execution_count": 9, "id": "5eddf8e7", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.133668496227128\n" ] } ], "source": [ "print(objective(data))" ] }, { "cell_type": "markdown", "id": "bb529329", "metadata": {}, "source": [ "Decorate the objective function to enable it to accept lists of parameters and execute across combinations" ] }, { "cell_type": "code", "execution_count": 10, "id": "5973132c", "metadata": {}, "outputs": [], "source": [ "param_objective = vbt.parameterized(\n", " objective,\n", " merge_func=\"concat\",\n", " mono_n_chunks=\"auto\",\n", " execute_kwargs=dict(engine=\"pathos\")\n", ")" ] }, { "cell_type": "markdown", "id": "99ed7911", "metadata": {}, "source": [ "Further decorate the function to run across date ranges specified by the splitter" ] }, { "cell_type": "code", "execution_count": 11, "id": "64779848", "metadata": {}, "outputs": [], "source": [ "cv_objective = vbt.split(\n", " param_objective,\n", " splitter=splitter, \n", " takeable_args=[\"data\"], \n", " merge_func=\"concat\", \n", " execute_kwargs=dict(show_progress=True)\n", ")" ] }, { "cell_type": "markdown", "id": "3226b761", "metadata": {}, "source": [ "Generate Sharpe ratio results for various parameter combinations using cross-validation" ] }, { "cell_type": "code", "execution_count": 15, "id": "7c2a13f0", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "9f3f785e98b24942aa495506739f7b86", "version_major": 2, "version_minor": 0 }, "text/plain": [ " 4%|3 | 2/51 [00:02<00:49, 1.02s/it, split=2]" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sharpe_ratio = cv_objective(\n", " data,\n", " vbt.Param(np.arange(10, 50, 10), condition=\"slow_period - fast_period >= 5\"),\n", " vbt.Param(np.arange(10, 50,10)),\n", " vbt.Param(np.arange(10, 50, 10), condition=\"fast_period <= atr_period <= slow_period\"),\n", " vbt.Param(np.arange(2, 5))\n", ")" ] }, { "cell_type": "markdown", "id": "6623c94c", "metadata": {}, "source": [ "Print the resulting Sharpe ratio for the parameter combinations" ] }, { "cell_type": "code", "execution_count": 16, "id": "5fd8d29e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "split set fast_period slow_period atr_period atr_mult\n", "0 train 10 20 10 2 1.100707\n", " 3 1.100707\n", " 4 1.100707\n", " 20 2 1.100707\n", " 3 1.100707\n", " ... \n", "50 test 30 40 30 3 1.604512\n", " 4 1.604512\n", " 40 2 1.604512\n", " 3 1.604512\n", " 4 1.604512\n", "Name: sharpe_ratio, Length: 4896, dtype: float64" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sharpe_ratio" ] }, { "cell_type": "markdown", "id": "b7cbaf9f", "metadata": {}, "source": [ "Extract the Sharpe ratio for the training set" ] }, { "cell_type": "code", "execution_count": 17, "id": "535d4341", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "split fast_period slow_period atr_period atr_mult\n", "0 10 20 10 2 1.100707\n", " 3 1.100707\n", " 4 1.100707\n", " 20 2 1.100707\n", " 3 1.100707\n", " ... \n", "50 30 40 30 3 2.313270\n", " 4 2.313270\n", " 40 2 2.313270\n", " 3 2.313270\n", " 4 2.313270\n", "Name: sharpe_ratio, Length: 2448, dtype: float64" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "train_sharpe_ratio = sharpe_ratio.xs(\"train\", level=\"set\")\n", "train_sharpe_ratio" ] }, { "cell_type": "markdown", "id": "f801764d", "metadata": {}, "source": [ "Extract the Sharpe ratio for the testing set" ] }, { "cell_type": "code", "execution_count": 20, "id": "5d653e94", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "split fast_period slow_period atr_period atr_mult\n", "0 10 20 10 2 -0.080490\n", " 3 -0.080490\n", " 4 -0.080490\n", " 20 2 -0.080490\n", " 3 -0.080490\n", " ... \n", "50 30 40 30 3 1.604512\n", " 4 1.604512\n", " 40 2 1.604512\n", " 3 1.604512\n", " 4 1.604512\n", "Name: sharpe_ratio, Length: 2448, dtype: float64" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "test_sharpe_ratio = sharpe_ratio.xs(\"test\", level=\"set\")\n", "test_sharpe_ratio" ] }, { "cell_type": "markdown", "id": "bb51825b", "metadata": {}, "source": [ "Print the correlation between training and testing Sharpe ratios" ] }, { "cell_type": "code", "execution_count": 21, "id": "025204c9", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "-0.17950267350172305" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "train_sharpe_ratio.corr(test_sharpe_ratio)" ] }, { "cell_type": "markdown", "id": "17b28a92", "metadata": {}, "source": [ "Calculate the difference in Sharpe ratios between testing and training sets" ] }, { "cell_type": "code", "execution_count": 29, "id": "24d79b93", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "split fast_period slow_period atr_period atr_mult\n", "0 10 20 10 2 -1.181197\n", " 3 -1.181197\n", " 4 -1.181197\n", " 20 2 -1.181197\n", " 3 -1.181197\n", " ... \n", "50 30 40 30 3 -0.708758\n", " 4 -0.708758\n", " 40 2 -0.708758\n", " 3 -0.708758\n", " 4 -0.708758\n", "Name: sharpe_ratio, Length: 2448, dtype: float64" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sharpe_ratio_diff = test_sharpe_ratio - train_sharpe_ratio\n", "sharpe_ratio_diff" ] }, { "cell_type": "markdown", "id": "20641a43", "metadata": {}, "source": [ "Compute the median difference in Sharpe ratios grouped by fast and slow EMA periods" ] }, { "cell_type": "code", "execution_count": 34, "id": "7a611cec", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "split fast_period slow_period atr_period atr_mult\n", "0 10 20 10 2 -1.181197\n", " 3 -1.181197\n", " 4 -1.181197\n", " 20 2 -1.181197\n", " 3 -1.181197\n", " ... \n", "50 30 40 30 3 -0.708758\n", " 4 -0.708758\n", " 40 2 -0.708758\n", " 3 -0.708758\n", " 4 -0.708758\n", "Name: sharpe_ratio, Length: 2448, dtype: float64" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sharpe_ratio_diff" ] }, { "cell_type": "code", "execution_count": 36, "id": "22ffa89d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "fast_period slow_period\n", "10 20 0.069470\n", " 30 -0.002789\n", " 40 -0.200267\n", "20 30 -0.052227\n", " 40 -0.446390\n", "30 40 0.114575\n", "Name: sharpe_ratio, dtype: float64" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sharpe_ratio_diff_median = sharpe_ratio_diff.groupby(\n", " [\"fast_period\", \"slow_period\"]\n", ").median()\n", "sharpe_ratio_diff_median" ] }, { "cell_type": "markdown", "id": "05ad889e", "metadata": {}, "source": [ "Display a heatmap of the median differences" ] }, { "cell_type": "code", "execution_count": 38, "id": "20221cd2", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ 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data analysis. Looking to get started? Check out the fastest growing, top-selling course to get started with Python for quant finance. For educational purposes. Not investment advise. Use at your own risk." ] } ], "metadata": { "jupytext": { "cell_metadata_filter": "-all", "main_language": "python", "notebook_metadata_filter": "-all" }, "kernelspec": { "display_name": ".venv", "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": "3.10.11" } }, "nbformat": 4, "nbformat_minor": 5 }