diff --git a/examples/notebook/crypto_statistical_risk_model.ipynb b/examples/notebook/crypto_statistical_risk_model.ipynb index ea10d67..67d446c 100644 --- a/examples/notebook/crypto_statistical_risk_model.ipynb +++ b/examples/notebook/crypto_statistical_risk_model.ipynb @@ -1,7 +1,6 @@ { "cells": [ { - "attachments": {}, "cell_type": "markdown", "metadata": { "id": "wFQCwtdV-oxD" @@ -18,7 +17,6 @@ ] }, { - "attachments": {}, "cell_type": "markdown", "metadata": { "id": "FN9sDgXw5Lz-" @@ -26,14 +24,14 @@ "source": [ "# Statistical Risk Model in Cryptocurrencies\n", "\n", - "The notebook is to demonstrate the building steps of constructing factor risk models in statistical approach (PCA) in cryptocurrencies. \n", + "The notebook is to demonstrate the building steps of constructing factor risk models in statistical approach (PCA) in cryptocurrencies.\n", "\n", "Package [factor-pricing-model-risk-model](https://github.com/factorpricingmodel/factor-pricing-model-risk-model) is required in the building steps, while matplotlib is used for visualization." ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -46,10 +44,39 @@ "shell.execute_reply.started": "2023-06-05T21:31:22.093892Z" }, "id": "E69ZwaHma1La", - "outputId": "3ac17326-fa73-4b3a-8d36-77deae1bff84", + "outputId": "1373093b-1448-4cab-aca2-f89af2ca6c06", "tags": [] }, - "outputs": [], + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Looking in indexes: https://pypi.org/simple, https://us-python.pkg.dev/colab-wheels/public/simple/\n", + "Requirement already satisfied: matplotlib in /usr/local/lib/python3.10/dist-packages (3.7.1)\n", + "Requirement already satisfied: factor-pricing-model-risk-model in /usr/local/lib/python3.10/dist-packages (2023.4.0)\n", + "Requirement already satisfied: contourpy>=1.0.1 in /usr/local/lib/python3.10/dist-packages (from matplotlib) (1.0.7)\n", + "Requirement already satisfied: cycler>=0.10 in /usr/local/lib/python3.10/dist-packages (from matplotlib) (0.11.0)\n", + "Requirement already satisfied: fonttools>=4.22.0 in /usr/local/lib/python3.10/dist-packages (from matplotlib) (4.39.3)\n", + "Requirement already satisfied: kiwisolver>=1.0.1 in /usr/local/lib/python3.10/dist-packages (from matplotlib) (1.4.4)\n", + "Requirement already satisfied: numpy>=1.20 in /usr/local/lib/python3.10/dist-packages (from matplotlib) (1.22.4)\n", + "Requirement already satisfied: packaging>=20.0 in /usr/local/lib/python3.10/dist-packages (from matplotlib) (23.1)\n", + "Requirement already satisfied: pillow>=6.2.0 in /usr/local/lib/python3.10/dist-packages (from matplotlib) (8.4.0)\n", + "Requirement already satisfied: pyparsing>=2.3.1 in /usr/local/lib/python3.10/dist-packages (from matplotlib) (3.0.9)\n", + "Requirement already satisfied: python-dateutil>=2.7 in /usr/local/lib/python3.10/dist-packages (from matplotlib) (2.8.2)\n", + "Requirement already satisfied: pandas<1.4.0,>=1.3.5 in /usr/local/lib/python3.10/dist-packages (from factor-pricing-model-risk-model) (1.3.5)\n", + "Requirement already satisfied: pydantic<2.0.0,>=1.10.4 in /usr/local/lib/python3.10/dist-packages (from factor-pricing-model-risk-model) (1.10.7)\n", + "Requirement already satisfied: scikit-learn<2.0.0,>=1.1.3 in /usr/local/lib/python3.10/dist-packages (from factor-pricing-model-risk-model) (1.2.2)\n", + "Requirement already satisfied: tqdm<5.0.0,>=4.64.1 in /usr/local/lib/python3.10/dist-packages (from factor-pricing-model-risk-model) (4.65.0)\n", + "Requirement already satisfied: pytz>=2017.3 in /usr/local/lib/python3.10/dist-packages (from pandas<1.4.0,>=1.3.5->factor-pricing-model-risk-model) (2022.7.1)\n", + "Requirement already satisfied: typing-extensions>=4.2.0 in /usr/local/lib/python3.10/dist-packages (from pydantic<2.0.0,>=1.10.4->factor-pricing-model-risk-model) (4.5.0)\n", + "Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.10/dist-packages (from python-dateutil>=2.7->matplotlib) (1.16.0)\n", + "Requirement already satisfied: scipy>=1.3.2 in /usr/local/lib/python3.10/dist-packages (from scikit-learn<2.0.0,>=1.1.3->factor-pricing-model-risk-model) (1.10.1)\n", + "Requirement already satisfied: joblib>=1.1.1 in /usr/local/lib/python3.10/dist-packages (from scikit-learn<2.0.0,>=1.1.3->factor-pricing-model-risk-model) (1.2.0)\n", + "Requirement already satisfied: threadpoolctl>=2.0.0 in /usr/local/lib/python3.10/dist-packages (from scikit-learn<2.0.0,>=1.1.3->factor-pricing-model-risk-model) (3.1.0)\n" + ] + } + ], "source": [ "!pip install matplotlib factor-pricing-model-risk-model" ] @@ -87,7 +114,6 @@ ] }, { - "attachments": {}, "cell_type": "markdown", "metadata": { "id": "wwo0PTwTa1Lb" @@ -98,7 +124,7 @@ "The API function `download_sample_data_estimation_universe` downloads the top 50 marketcap historical data from Kaggle [dataset](https://www.kaggle.com/datasets/sudalairajkumar/cryptocurrency-historical-prices-coingecko). The price history starts from 2015.\n", "\n", "\n", - "###### Note: The dataset is synchronzed with CoinGecko every day, but due to API keys required in downloading Kaggle data, only the snapshot is provided. " + "###### Note: The dataset is synchronzed with CoinGecko every day, but due to API keys required in downloading Kaggle data, only the snapshot is provided." ] }, { @@ -125,7 +151,6 @@ ] }, { - "attachments": {}, "cell_type": "markdown", "metadata": { "id": "ZJLWFi8Aa1Lc" @@ -161,7 +186,7 @@ "outputs": [], "source": [ "def correlation_rank_selection(\n", - " d_rank, \n", + " d_rank,\n", " returns,\n", " rolling_window=90,\n", " correlation_threshold=0.9\n", @@ -202,35 +227,35 @@ "shell.execute_reply.started": "2023-06-05T21:31:23.131476Z" }, "id": "j0xQWGZIa1Ld", - "outputId": "5803cea5-03a7-4476-e348-d9c6e6c69516", + "outputId": "30f5d136-ebbb-47e7-a208-5f8f87ec1cfb", "tags": [] }, "outputs": [ { + "output_type": "execute_result", "data": { "text/plain": [ "" ] }, - "execution_count": 5, "metadata": {}, - "output_type": "execute_result" + "execution_count": 5 }, { + "output_type": "display_data", "data": { - "image/png": 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", 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\n" }, - "metadata": {}, - "output_type": "display_data" + "metadata": {} } ], "source": [ "est_universe_validity = (est_universe_marketcap > 0.0).rolling(210, min_periods=180).sum() > 180\n", "est_universe_validity = (\n", - " est_universe_validity & \n", + " est_universe_validity &\n", " (est_universe_returns.abs().rolling(210, min_periods=180).median() > 0.005)\n", ")\n", "est_universe_marketcap_rank = est_universe_marketcap.where(est_universe_validity).rank(axis=1, ascending=False)\n", @@ -243,7 +268,6 @@ ] }, { - "attachments": {}, "cell_type": "markdown", "metadata": { "id": "XFGJPqEwa1Ld" @@ -277,24 +301,24 @@ "shell.execute_reply.started": "2023-06-05T21:31:36.905979Z" }, "id": "6RXdyzJna1Ld", - "outputId": "b8a0f35b-4e30-49ac-c1c0-0aff8995a1e9", + "outputId": "7d360785-cbbd-4b7c-96c8-ca7c4c9ec928", "tags": [] }, "outputs": [ { - "name": "stderr", "output_type": "stream", + "name": "stderr", "text": [] }, { + "output_type": "execute_result", "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 6, "metadata": {}, - "output_type": "execute_result" + "execution_count": 6 } ], "source": [ @@ -307,11 +331,10 @@ "rolling_risk_model.fit(\n", " est_universe_returns.where(est_universe_returns.abs() < 0.20),\n", " validity=est_universe_validity,\n", - ") " + ")" ] }, { - "attachments": {}, "cell_type": "markdown", "metadata": { "id": "M-Lnlc3V7iG8" @@ -329,14 +352,20 @@ "height": 112 }, "id": "5CGisQAtwItH", - "outputId": "700f4dfb-67af-4e69-a9bd-de9a6f74220a" + "outputId": "bdf70de3-e98f-4b22-9b20-153f36f876d4" }, "outputs": [ { + "output_type": "execute_result", "data": { + "text/plain": [ + " bitcoin ethereum\n", + "bitcoin 1.000000 0.899209\n", + "ethereum 0.899209 1.000000" + ], "text/html": [ "\n", - "
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