modeling_a wealth_tax.ipynb

{
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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Modeling The Wealth Tax\n",
    "\n",
    "This is an attempt to fix the original with a more appropriate wealth growth model and more of an explanation of what Paul Graham was trying to get at in the first place."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "metadata": {},
   "outputs": [],
   "source": [
    "import math\n",
    "import matplotlib.pyplot as plt\n",
    "from tabulate import tabulate"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Assumptions\n",
    "* Tax Rate - Varying from 1% - 5% of your wealth\n",
    "* Growth Rate - Varying from 1% - 10% (Originally you assumed that up to 10% growth is conservative but that usually is talking about revenue growth. Not valuation growth which can vary depending on the company.)\n",
    "* I also assume that the company in question is publically traded such that your stock actually has monetary value and you can actually sell off your stock to pay the tax.\n",
    "* Your wealth tax calculation wasn't quite right. You have to take the tax on the wealth AFTER the gains. As an example, if you start with 100 with 10% growth, you'd end up with 110. The 2% tax is then applied to the 110 which is 110 - 2.2 = 107.8 after tax wealth not 100 * 1.08 = 108. This will lead to all your numbers being a bit high but that isn't quite the point."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "metadata": {},
   "outputs": [],
   "source": [
    "# We're going to seed this person with $1 in \"wealth\" which would be calculated as initial_stock * initial_stock_price. This has been made to match the initial $1 wealth of the original with the ability to sell one's stock\n",
    "# Intial stock amount\n",
    "initial_stock = 1000\n",
    "# Initial stock price\n",
    "initial_stock_price = .001\n",
    "time = 60 #Years"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 128,
   "metadata": {},
   "outputs": [],
   "source": [
    "def grow_wealth(initial_stock: float , stock_price: float, tax : float, growth : float, years: int) -> float:\n",
    "    stock = initial_stock\n",
    "    stock_price = initial_stock_price\n",
    "    wealth = stock * stock_price\n",
    "    for year in range(years):\n",
    "        yield year, wealth, stock\n",
    "        stock_price *= 1.0 + growth/100\n",
    "        wealth_with_gains = stock * stock_price\n",
    "        taxes_owed = wealth_with_gains * (tax/100)\n",
    "        # We need to sell stock to pay the taxes\n",
    "        stock_sold = math.ceil(taxes_owed/stock_price)\n",
    "        stock -= stock_sold\n",
    "        wealth = stock * stock_price"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Let's Try with a 10% Growth Rate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 129,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "model_1 = {year : wealth for year, wealth, _ in grow_wealth(initial_stock, initial_stock_price, 1, 10, time)}\n",
    "model_2 = {year : wealth for year, wealth, _ in grow_wealth(initial_stock, initial_stock_price, 2, 10, time)}\n",
    "model_3 = {year : wealth for year, wealth, _ in grow_wealth(initial_stock, initial_stock_price, 3, 10, time)}\n",
    "model_4 = {year : wealth for year, wealth, _ in grow_wealth(initial_stock, initial_stock_price, 4, 10, time)}\n",
    "model_5 = {year : wealth for year, wealth, _ in grow_wealth(initial_stock, initial_stock_price, 5, 10, time)}\n",
    "\n",
    "plt.figure(figsize=(10,7))\n",
    "plt.title(\"Wealth vs Time as a function of Tax Rate\")\n",
    "plt.plot(model_1.keys(), model_1.values(), label=\"Tax Rate : 1% \\n Growth : 10%\")\n",
    "plt.plot(model_2.keys(), model_2.values(), label=\"Tax Rate : 2% \\n Growth : 10%\")\n",
    "plt.plot(model_3.keys(), model_3.values(), label=\"Tax Rate : 3% \\n Growth : 10%\")\n",
    "plt.plot(model_4.keys(), model_4.values(), label=\"Tax Rate : 4% \\n Growth : 10%\")\n",
    "plt.plot(model_5.keys(), model_5.values(), label=\"Tax Rate : 5% \\n Growth : 10%\")\n",
    "plt.xlabel(\"Time in Years\")\n",
    "plt.ylabel(\"Wealth\")\n",
    "plt.grid()\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 130,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "ownership_1 = {year : (stock/initial_stock)*100 for year, _, stock in grow_wealth(initial_stock, initial_stock_price, 1, 10, time)}\n",
    "ownership_2 = {year : (stock/initial_stock)*100 for year, _, stock in grow_wealth(initial_stock, initial_stock_price, 2, 10, time)}\n",
    "ownership_3 = {year : (stock/initial_stock)*100 for year, _, stock in grow_wealth(initial_stock, initial_stock_price, 3, 10, time)}\n",
    "ownership_4 = {year : (stock/initial_stock)*100 for year, _, stock in grow_wealth(initial_stock, initial_stock_price, 4, 10, time)}\n",
    "ownership_5 = {year : (stock/initial_stock)*100 for year, _, stock in grow_wealth(initial_stock, initial_stock_price, 5, 10, time)}\n",
    "\n",
    "plt.figure(figsize=(10,7))\n",
    "plt.title(\"Percent ownership of company vs Time as a function of Tax Rate\")\n",
    "plt.plot(ownership_1.keys(), ownership_1.values(), label=\"Tax Rate : 1% \\n Growth : 10%\")\n",
    "plt.plot(ownership_2.keys(), ownership_2.values(), label=\"Tax Rate : 2% \\n Growth : 10%\")\n",
    "plt.plot(ownership_3.keys(), ownership_3.values(), label=\"Tax Rate : 3% \\n Growth : 10%\")\n",
    "plt.plot(ownership_4.keys(), ownership_4.values(), label=\"Tax Rate : 4% \\n Growth : 10%\")\n",
    "plt.plot(ownership_5.keys(), ownership_5.values(), label=\"Tax Rate : 5% \\n Growth : 10%\")\n",
    "plt.xlabel(\"Time in Years\")\n",
    "plt.ylabel(\"Ownership\")\n",
    "plt.grid()\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conclusions\n",
    "I hope that the following things are clear from this very simple illustration. \n",
    "\n",
    "1. The amount of your shares you have to sell to pay the tax is HUGE. You'd have to sell off ~44% of your ownership in the company over 60 years even with a modest 1% tax. Near 70% with a 2% tax rate. This is exactly the problem that Paul Graham is talking about. It has nothing to do with the wealth itself but more the percentage of the company you would have to regularly give up to pay it. This is exactly what Paul Graham is talking about in the blog post.\n",
    "\n",
    "\"A wealth tax of 1% means you get to keep 99% of your stock each year. After 60 years the proportion of stock you'll have left will be .99^60, or .547. So a straight 1% wealth tax means the government will over the course of your life take 45% of your stock.\" - Paul Graham\n",
    "\n",
    "2. This can have all sorts of horrible side effects. For example, the amount of shares you own in a company often directly translates to your particular voting power in the company. This means that you'd basically be giving ownership of your company away just to pay the government.\n",
    "\n",
    "3. Also, one would also have to take into account that around tax time, since everyone at the company would likely need to sell their stock to pay the wealth tax, the supply of the stock would jump significantly which means that the price of the stock would necessarily drop which means the net effect of the tax would be MUCH greater on both company wealth and personal wealth."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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