lesson-06-self-liquidation/Self-Liquidation-Unsolved.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "9bbc5349-dfcd-4f44-8b3b-813e87ab60a8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of loans in the `VyperWifController` vault: 1\n"
     ]
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import boa\n",
    "from l6 import lesson6, user_balances, vault_summary\n",
    "\n",
    "user = boa.env.eoa\n",
    "vault, controller, amm, oracle, liquidity_pool, collateral_token, crvusd = lesson6()\n",
    "\n",
    "# Sanity check\n",
    "print(f\"Number of loans in the `{controller._name}` vault: {controller.n_loans()}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "39356cc9-810d-420b-935f-80a79c61880e",
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot(amm, user):\n",
    "    bands = range(\n",
    "        min(0, amm.active_band(), amm.read_user_tick_numbers(user)[0]),\n",
    "        max(amm.active_band(), amm.read_user_tick_numbers(user)[1]) + 1,\n",
    "    )\n",
    "\n",
    "    p_min = [amm.p_oracle_down(n) for n in bands]\n",
    "    p_max = [amm.p_oracle_up(n) for n in bands]\n",
    "    y_values = [amm.bands_y(n) for n in bands]\n",
    "\n",
    "    fig, ax = plt.subplots(figsize=(12, 6))\n",
    "    grey_cmap = plt.colormaps[\"Greys\"]\n",
    "\n",
    "    for i, (min_val, max_val, y_val) in enumerate(zip(p_min, p_max, y_values)):\n",
    "        width = max_val - min_val\n",
    "\n",
    "        if bands[i] == amm.active_band():\n",
    "            color = \"green\"\n",
    "            edge_color = \"darkgreen\"\n",
    "        else:\n",
    "            # Use different shades of grey for non-active bands\n",
    "            color = grey_cmap(0.3 + (i / len(bands)) * 0.5)\n",
    "            edge_color = grey_cmap(0.5 + (i / len(bands)) * 0.5)\n",
    "\n",
    "        rect = plt.Rectangle(\n",
    "            (min_val, 0),\n",
    "            width,\n",
    "            y_val,\n",
    "            fill=True,\n",
    "            facecolor=color,\n",
    "            alpha=0.3,\n",
    "            edgecolor=edge_color,\n",
    "            linewidth=0.5,\n",
    "        )\n",
    "        ax.add_patch(rect)\n",
    "\n",
    "        # Add horizontal line for y_val = 0 cases\n",
    "        ax.plot([min_val, max_val], [y_val, y_val], color=edge_color, linewidth=2)\n",
    "\n",
    "    # Price line\n",
    "    ax.axvline(\n",
    "        x=oracle.price(), color=\"red\", linestyle=\"-\", linewidth=2, label=\"Oracle Price\"\n",
    "    )\n",
    "    ax.axvline(\n",
    "        x=amm.price_oracle(),\n",
    "        color=\"blue\",\n",
    "        linestyle=\"--\",\n",
    "        linewidth=2,\n",
    "        label=\"AMM Price\",\n",
    "    )\n",
    "\n",
    "    # Lavels\n",
    "    ax.set_xlabel(\"Price (p)\")\n",
    "    ax.set_ylabel(\"Collateral\")\n",
    "    ax.set_title(f\"Price Range and Collateral for User {user}\")\n",
    "    ax.legend()\n",
    "\n",
    "    # Plot\n",
    "    ax.set_ylim(bottom=0)\n",
    "    ax.set_xlim(0.74 * 10**18, 1.01 * 10**18)\n",
    "    plt.tight_layout()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0d5d3b95-06ab-4d4f-b015-00fdd452e800",
   "metadata": {},
   "source": [
    "# Initial State"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "e8cd71d3-93b4-40a7-b7fa-8c24d994c762",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting Conditions:\n",
      "\n",
      "BALANCES FOR 0x00dE89C733555886f785b0C32b498300297e481F\n",
      "• crvUSD:\t78,715.53\n",
      "• Collateral:\t89,900,000\n",
      "\n",
      "VAULT SUMMARY `VyperWifController`\n",
      "• Oracle Price:\t\t1.00\n",
      "• AMM Price:\t\t1.00\n",
      "• Users to Liquidate:\t0\n",
      "• Number of Loans:\t1\n"
     ]
    }
   ],
   "source": [
    "# Initial balances\n",
    "print(\"Starting Conditions:\")\n",
    "user_balances(user, crvusd, collateral_token)\n",
    "\n",
    "# Status Report\n",
    "vault_summary(oracle, controller, amm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "3b5c166b-c7d7-4289-81c1-5a49099cf692",
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 1200x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(amm, user)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ac261d65-ea29-4467-a41b-1df49479fe46",
   "metadata": {},
   "source": [
    "# Price Nuke"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "2b41dfe9-02bd-4426-ba4e-f7408ca092ae",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "VAULT SUMMARY `VyperWifController`\n",
      "• Oracle Price:\t\t0.75\n",
      "• AMM Price:\t\t0.80\n",
      "• Users to Liquidate:\t0\n",
      "• Number of Loans:\t1\n"
     ]
    }
   ],
   "source": [
    "# Price drops 25%\n",
    "new_price = int(0.75 * oracle.price())\n",
    "oracle.set_price(new_price)\n",
    "\n",
    "# Status Report\n",
    "vault_summary(oracle, controller, amm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "5740d9a6-d733-4387-8963-651a8b7a45d3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(amm, user)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3a46ce6c-5705-438a-8e05-779583aaaff2",
   "metadata": {},
   "source": [
    "# Time Passes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "e019d212-1284-4015-97d3-46257ea7ec68",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "VAULT SUMMARY `VyperWifController`\n",
      "• Oracle Price:\t\t0.75\n",
      "• AMM Price:\t\t0.75\n",
      "• Users to Liquidate:\t1\n",
      "• Number of Loans:\t1\n"
     ]
    }
   ],
   "source": [
    "# Time Travel\n",
    "# XXX\n",
    "\n",
    "# Status Report\n",
    "vault_summary(oracle, controller, amm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "38d207c8-af98-4ab2-91d6-a6d5972d3cb5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(amm, user)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2bed117d-8b35-4df8-97e0-ce4ecbc443b1",
   "metadata": {},
   "source": [
    "# Self Liquidation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "8f302a85-db57-430d-8263-a74796aed5f3",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Need 78715.555 $crvUSD to liquidate\n",
      "Difference is 0.022\n",
      "\n",
      "BALANCES FOR 0x00dE89C733555886f785b0C32b498300297e481F\n",
      "• crvUSD:\t78,715.53\n",
      "• Collateral:\t89,900,000\n"
     ]
    }
   ],
   "source": [
    "# How much do we need to liquidate\n",
    "liquidation_amount = # XXX\n",
    "needed_amount = liquidation_amount - crvusd.balanceOf(boa.env.eoa)\n",
    "\n",
    "print(f\"Need {liquidation_amount / 10 ** 18 :.3f} $crvUSD to liquidate\")\n",
    "print(f\"Difference is {needed_amount / 10 ** 18:.3f}\")\n",
    "\n",
    "user_balances(user, crvusd, collateral_token)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "9b6a0c34-c3fa-49ef-a78c-2126228d18d6",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Looks like 21840350438510740\n",
      "Adjusting to 21840350438512924\n",
      "Adjusting to 21840350438515108\n"
     ]
    }
   ],
   "source": [
    "# Get Liquidation Amount\n",
    "token_amount = # XXX \n",
    "print(f\"Looks like {token_amount}\")\n",
    "\n",
    "while liquidity_pool.get_dy(1, 0, token_amount) < needed_amount:\n",
    "    token_amount = int(token_amount * (1.0000000000001))\n",
    "    print(f\"Adjusting to {token_amount}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "9b48f88e-cef1-4d63-a016-f5d2b3fc5b0a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "BALANCES FOR 0x00dE89C733555886f785b0C32b498300297e481F\n",
      "• crvUSD:\t0.00\n",
      "• Collateral:\t90,000,000\n",
      "\n",
      "VAULT SUMMARY `VyperWifController`\n",
      "• Oracle Price:\t\t0.75\n",
      "• AMM Price:\t\t0.75\n",
      "• Users to Liquidate:\t0\n",
      "• Number of Loans:\t0\n"
     ]
    }
   ],
   "source": [
    "# Exchange for Liquidation Amount\n",
    "if collateral_token.allowance(boa.env.eoa, liquidity_pool) < token_amount:\n",
    "    collateral_token.approve(liquidity_pool, token_amount)\n",
    "\n",
    "liquidity_pool.exchange(1, 0, token_amount, needed_amount)\n",
    "\n",
    "# Liquidate\n",
    "liquidate_amount = controller.tokens_to_liquidate(boa.env.eoa)\n",
    "assert crvusd.balanceOf(boa.env.eoa) >= liquidate_amount, \"Not enough tokens\"\n",
    "\n",
    "crvusd.approve(controller, liquidate_amount)\n",
    "# XXX\n",
    "\n",
    "# Final Status Report\n",
    "user_balances(user, crvusd, collateral_token)\n",
    "vault_summary(oracle, controller, amm)"
   ]
  }
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