Model SentinelOne's employee stock purchase plan

1 files changed, 123 insertions, 0 deletions

diff --git a/notebooks/2024-08-31-espp-model.ipynb b/notebooks/2024-08-31-espp-model.ipynb
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+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Modelling SentinelOne's Employee Stock Purchase Plan"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import warnings\n",
+    "\n",
+    "import numpy as np\n",
+    "import seaborn as sns\n",
+    "from matplotlib import pyplot as plt\n",
+    "\n",
+    "sns.set_style(\"ticks\")\n",
+    "\n",
+    "warnings.filterwarnings(\"ignore\", category=UserWarning)\n",
+    "\n",
+    "DISCOUNT = 0.15  # Discount on stock price\n",
+    "MONTHLY_INVESTMENT = 1300  # About £1,000\n",
+    "PERIOD = 6  # Months\n",
+    "TAX_RATE = 0.45  # UK additional rate\n",
+    "TOTAL_INVESTMENT = MONTHLY_INVESTMENT * PERIOD\n",
+    "PRICE_MIN = 15\n",
+    "PRICE_MAX = 30"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "initial_price = np.arange(PRICE_MAX, PRICE_MIN - 0.1, -1)\n",
+    "final_price = np.arange(PRICE_MIN, PRICE_MAX + 0.1, 1)\n",
+    "initial_price_matrix = np.tile(initial_price[:, np.newaxis], len(final_price))\n",
+    "final_price_matrix = np.tile(final_price, (len(initial_price), 1))\n",
+    "purchase_price = np.where(final_price_matrix < initial_price_matrix, final_price_matrix, initial_price_matrix) * (1 - DISCOUNT)\n",
+    "shares_purchased = np.floor(TOTAL_INVESTMENT / purchase_price)\n",
+    "profit_after_tax = shares_purchased * (final_price_matrix - purchase_price) * (1 - TAX_RATE)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 1000x800 with 2 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "fig, ax = plt.subplots(figsize=(10, 8))\n",
+    "\n",
+    "sns.heatmap(\n",
+    "    profit_after_tax,\n",
+    "    xticklabels=final_price,\n",
+    "    yticklabels=initial_price,\n",
+    "    annot=False,\n",
+    "    cmap=\"viridis\",\n",
+    "    cbar_kws={\"label\": \"Profit\"},\n",
+    "    vmin=0,\n",
+    "    vmax=np.ceil(profit_after_tax.max() / 100) * 100,\n",
+    "    ax=ax,\n",
+    ")\n",
+    "\n",
+    "# Set colorbar labels\n",
+    "cbar = ax.collections[0].colorbar\n",
+    "cbar.set_ticklabels([\"${:,g}\".format(x) for x in cbar.get_ticks()])\n",
+    "\n",
+    "# # Set corresponding tick labels\n",
+    "ax.set_xticklabels([f\"${final_price[i]:.0f}\" for i, _ in enumerate(ax.get_xticks())])\n",
+    "ax.set_yticklabels([f\"${initial_price[i]:.0f}\" for i, _ in enumerate(ax.get_yticks())])\n",
+    "\n",
+    "# Rotate x tick labels\n",
+    "ax.tick_params(axis=\"x\", rotation=0)\n",
+    "ax.tick_params(axis=\"y\", rotation=0)\n",
+    "\n",
+    "# Set axis labels\n",
+    "ax.set_xlabel(\"Final price\")\n",
+    "ax.set_ylabel(\"Initial price\")\n",
+    "ax.set_title(f\"ESPP Profit After Tax\\nTotal Investment: ${TOTAL_INVESTMENT:,g} Over {PERIOD} Months\\nMinumum Profit: ${np.min(profit_after_tax):,.2f}\")\n",
+    "\n",
+    "plt.show()"
+   ]
+  }
+ ],
+ "metadata": {
+  "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": "3.12.4"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}