|
| 1 | +{ |
| 2 | + "cells": [ |
| 3 | + { |
| 4 | + "cell_type": "code", |
| 5 | + "execution_count": 1, |
| 6 | + "metadata": {}, |
| 7 | + "outputs": [], |
| 8 | + "source": [ |
| 9 | + "# Input values\n", |
| 10 | + "odds_win_site1 = 1.3\n", |
| 11 | + "odds_lost_site1 = 3.930\n", |
| 12 | + "odds_win_site2 = 1.42\n", |
| 13 | + "odds_lost_site2 = 2.9\n", |
| 14 | + "total_investment = 100" |
| 15 | + ] |
| 16 | + }, |
| 17 | + { |
| 18 | + "cell_type": "code", |
| 19 | + "execution_count": 2, |
| 20 | + "metadata": {}, |
| 21 | + "outputs": [], |
| 22 | + "source": [ |
| 23 | + "def has_arbitrage_opportunity(odds):\n", |
| 24 | + " total_inverse_odds = sum(1 / odd for odd in odds)\n", |
| 25 | + " return total_inverse_odds < 1" |
| 26 | + ] |
| 27 | + }, |
| 28 | + { |
| 29 | + "cell_type": "code", |
| 30 | + "execution_count": 3, |
| 31 | + "metadata": {}, |
| 32 | + "outputs": [], |
| 33 | + "source": [ |
| 34 | + "def calculate_arbitrage_percentage(odds):\n", |
| 35 | + " total_inverse_odds = sum(1 / odd for odd in odds)\n", |
| 36 | + " arbitrage_percentage = (1 - total_inverse_odds) * 100\n", |
| 37 | + " return arbitrage_percentage" |
| 38 | + ] |
| 39 | + }, |
| 40 | + { |
| 41 | + "cell_type": "code", |
| 42 | + "execution_count": 4, |
| 43 | + "metadata": {}, |
| 44 | + "outputs": [], |
| 45 | + "source": [ |
| 46 | + "def calculate_optimal_stakes(total_investment, odds):\n", |
| 47 | + " total_inverse_odds = sum(1 / odd for odd in odds)\n", |
| 48 | + " stakes = [(total_investment * (1 / odd)) / total_inverse_odds for odd in odds]\n", |
| 49 | + " return stakes" |
| 50 | + ] |
| 51 | + }, |
| 52 | + { |
| 53 | + "cell_type": "code", |
| 54 | + "execution_count": 5, |
| 55 | + "metadata": {}, |
| 56 | + "outputs": [], |
| 57 | + "source": [ |
| 58 | + "def calculate_total_return(stakes, odds):\n", |
| 59 | + " total_returns = [stake * odd for stake, odd in zip(stakes, odds)]\n", |
| 60 | + " return total_returns" |
| 61 | + ] |
| 62 | + }, |
| 63 | + { |
| 64 | + "cell_type": "code", |
| 65 | + "execution_count": 6, |
| 66 | + "metadata": {}, |
| 67 | + "outputs": [], |
| 68 | + "source": [ |
| 69 | + "def calculate_guaranteed_profit(total_investment, total_returns):\n", |
| 70 | + " min_total_return = min(total_returns)\n", |
| 71 | + " guaranteed_profit = min_total_return - total_investment\n", |
| 72 | + " return guaranteed_profit" |
| 73 | + ] |
| 74 | + }, |
| 75 | + { |
| 76 | + "cell_type": "code", |
| 77 | + "execution_count": 7, |
| 78 | + "metadata": {}, |
| 79 | + "outputs": [ |
| 80 | + { |
| 81 | + "name": "stdout", |
| 82 | + "output_type": "stream", |
| 83 | + "text": [ |
| 84 | + "Arbitrage Opportunity (lost-site1 and win-site2): Yes\n", |
| 85 | + "Arbitrage Percentage (lost-site1 and win-site2): 4.13%\n", |
| 86 | + "Optimal Stakes (lost-site1 and win-site2): [26.542056074766354, 73.45794392523365]\n", |
| 87 | + "Total Returns (lost-site1 and win-site2): [104.31028037383177, 104.31028037383177]\n", |
| 88 | + "Guaranteed Profit (lost-site1 and win-site2): 4.31\n" |
| 89 | + ] |
| 90 | + } |
| 91 | + ], |
| 92 | + "source": [ |
| 93 | + "# Check for arbitrage opportunities\n", |
| 94 | + "arbitrage_opportunities = []\n", |
| 95 | + "\n", |
| 96 | + "# Combination 1: win-site1 and lost-site2\n", |
| 97 | + "if has_arbitrage_opportunity([odds_win_site1, odds_lost_site2]):\n", |
| 98 | + " arbitrage_percentage = calculate_arbitrage_percentage([odds_win_site1, odds_lost_site2])\n", |
| 99 | + " optimal_stakes = calculate_optimal_stakes(total_investment, [odds_win_site1, odds_lost_site2])\n", |
| 100 | + " total_returns = calculate_total_return(optimal_stakes, [odds_win_site1, odds_lost_site2])\n", |
| 101 | + " guaranteed_profit = calculate_guaranteed_profit(total_investment, total_returns)\n", |
| 102 | + " arbitrage_opportunities.append({\n", |
| 103 | + " \"description\": \"win-site1 and lost-site2\",\n", |
| 104 | + " \"arbitrage_percentage\": arbitrage_percentage,\n", |
| 105 | + " \"optimal_stakes\": optimal_stakes,\n", |
| 106 | + " \"total_returns\": total_returns,\n", |
| 107 | + " \"guaranteed_profit\": guaranteed_profit\n", |
| 108 | + " })\n", |
| 109 | + "\n", |
| 110 | + "# Combination 2: lost-site1 and win-site2\n", |
| 111 | + "if has_arbitrage_opportunity([odds_lost_site1, odds_win_site2]):\n", |
| 112 | + " arbitrage_percentage = calculate_arbitrage_percentage([odds_lost_site1, odds_win_site2])\n", |
| 113 | + " optimal_stakes = calculate_optimal_stakes(total_investment, [odds_lost_site1, odds_win_site2])\n", |
| 114 | + " total_returns = calculate_total_return(optimal_stakes, [odds_lost_site1, odds_win_site2])\n", |
| 115 | + " guaranteed_profit = calculate_guaranteed_profit(total_investment, total_returns)\n", |
| 116 | + " arbitrage_opportunities.append({\n", |
| 117 | + " \"description\": \"lost-site1 and win-site2\",\n", |
| 118 | + " \"arbitrage_percentage\": arbitrage_percentage,\n", |
| 119 | + " \"optimal_stakes\": optimal_stakes,\n", |
| 120 | + " \"total_returns\": total_returns,\n", |
| 121 | + " \"guaranteed_profit\": guaranteed_profit\n", |
| 122 | + " })\n", |
| 123 | + "\n", |
| 124 | + "# Output Results\n", |
| 125 | + "if arbitrage_opportunities:\n", |
| 126 | + " for opportunity in arbitrage_opportunities:\n", |
| 127 | + " print(f\"Arbitrage Opportunity ({opportunity['description']}): Yes\")\n", |
| 128 | + " print(f\"Arbitrage Percentage ({opportunity['description']}): {opportunity['arbitrage_percentage']:.2f}%\")\n", |
| 129 | + " print(f\"Optimal Stakes ({opportunity['description']}): {opportunity['optimal_stakes']}\")\n", |
| 130 | + " print(f\"Total Returns ({opportunity['description']}): {opportunity['total_returns']}\")\n", |
| 131 | + " print(f\"Guaranteed Profit ({opportunity['description']}): {opportunity['guaranteed_profit']:.2f}\")\n", |
| 132 | + "else:\n", |
| 133 | + " print(\"No Arbitrage Opportunities Found\")" |
| 134 | + ] |
| 135 | + }, |
| 136 | + { |
| 137 | + "cell_type": "code", |
| 138 | + "execution_count": null, |
| 139 | + "metadata": {}, |
| 140 | + "outputs": [], |
| 141 | + "source": [] |
| 142 | + }, |
| 143 | + { |
| 144 | + "cell_type": "code", |
| 145 | + "execution_count": null, |
| 146 | + "metadata": {}, |
| 147 | + "outputs": [], |
| 148 | + "source": [] |
| 149 | + } |
| 150 | + ], |
| 151 | + "metadata": { |
| 152 | + "kernelspec": { |
| 153 | + "display_name": "Python 3", |
| 154 | + "language": "python", |
| 155 | + "name": "python3" |
| 156 | + }, |
| 157 | + "language_info": { |
| 158 | + "codemirror_mode": { |
| 159 | + "name": "ipython", |
| 160 | + "version": 3 |
| 161 | + }, |
| 162 | + "file_extension": ".py", |
| 163 | + "mimetype": "text/x-python", |
| 164 | + "name": "python", |
| 165 | + "nbconvert_exporter": "python", |
| 166 | + "pygments_lexer": "ipython3", |
| 167 | + "version": "3.12.4" |
| 168 | + } |
| 169 | + }, |
| 170 | + "nbformat": 4, |
| 171 | + "nbformat_minor": 2 |
| 172 | +} |
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