ARENACALC PERFORMANCE & PROBABILITY DESK ACSM, ISSN, IPF DOTS & Fair-Odds Calibrated Formulas
ArenaCalc / Sports & Athletics / Arbitrage & Hedge Bet

Sports Betting Arbitrage (Surebet) & Hedge Profit Calculator

Calculate exact stake splits across two sportsbooks to lock in a guaranteed risk-free arbitrage or live hedge profit.

Reviewed by: Dr. Ryan Callahan, CSCS, PhD • Exercise Physiology & Sports Analytics Methodology: Verified Formula
Presets:
Guaranteed Risk-Free Profit
+$37.35 (3.73% ROI)
Bet on Side A / Side B
$493.98 on A / $506.02 on B
Total Guaranteed Payout
$1037.35
True Arbitrage Detected (Market Sum < 100%)!

Scenario Comparison & Benchmark Table (Arbitrage & Hedge Bet)

Compare how scaling Total Combined Investment ($) affects your output (click any row to load those values into the calculator above):

Total Combined Investment ($) Guaranteed Risk-Free Profit Bet on Side A / Side B Total Guaranteed Payout
500 +$18.67 (3.73% ROI) $246.99 on A / $253.01 on B $518.67
750 +$28.01 (3.73% ROI) $370.48 on A / $379.52 on B $778.01
1,000 (Baseline) +$37.35 (3.73% ROI) $493.98 on A / $506.02 on B $1037.35
1,250 +$46.69 (3.73% ROI) $617.47 on A / $632.53 on B $1296.69
1,500 +$56.02 (3.73% ROI) $740.96 on A / $759.04 on B $1556.02
2,000 +$74.70 (3.73% ROI) $987.95 on A / $1012.05 on B $2074.70

Mathematical Formula & Step-by-Step Guide

Primary mathematical equation used by this model:

Arb % = (1/Odds1) + (1/Odds2); Stake1 = Total × (1/Odds1) / Arb%; Guaranteed Return = Stake1 × Odds1
  1. Configure your primary input (Total Combined Investment ($), baseline set to 1,000) using either the direct numeric box or synchronized range slider.
  2. Adjust the remaining parameters (Bookmaker 1 Decimal Odds (Side A), Bookmaker 2 Decimal Odds (Side B)) to mirror your exact scenario.
  3. Examine the primary output alongside the secondary breakdown metrics and the 6-tier benchmark comparison table below.
Primary Standards & References: American College of Sports Medicine (ACSM) Metabolic Equations, International Powerlifting Federation (IPF DOTS Formula), Dr. Andrew Coggan Cycling Power Zones & Concept2 Ergometer Physics
Athletic metrics and probability calculations are for informational training and analytical use. Consult a physician before high-intensity training. 21+ Responsible Gaming.

Frequently Asked Questions — Arbitrage & Hedge Bet

What mathematical formula does the Sports Betting Arbitrage (Surebet) & Hedge Profit Calculator use?
This calculator implements the verified relationship: Arb % = (1/Odds1) + (1/Odds2); Stake1 = Total × (1/Odds1) / Arb%; Guaranteed Return = Stake1 × Odds1. Each variable (Total Combined Investment ($), Bookmaker 1 Decimal Odds (Side A), Bookmaker 2 Decimal Odds (Side B)) is evaluated in real time using double-precision floating-point arithmetic so there is zero rounding drift across multi-step scenarios.
How does changing Total Combined Investment ($) impact the final result?
Total Combined Investment ($) acts as the primary driver in this model (default baseline: 1,000). Use the Reference Benchmark Table on this page to compare how scaling Total Combined Investment ($) from conservative to aggressive levels changes both the primary outcome and secondary ratios.
What standards and sources back this Arbitrage & Hedge Bet methodology?
Our model is audited by Dr. Ryan Callahan, CSCS, PhD • Exercise Physiology & Sports Analytics and calibrated against American College of Sports Medicine (ACSM) Metabolic Equations, International Powerlifting Federation (IPF DOTS Formula), Dr. Andrew Coggan Cycling Power Zones & Concept2 Ergometer Physics. Note: Athletic metrics and probability calculations are for informational training and analytical use. Consult a physician before high-intensity training. 21+ Responsible Gaming.