> For the complete documentation index, see [llms.txt](https://docs.polygoatbot.com/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://docs.polygoatbot.com/binary-market-math.md).
# Binary Market Math: The Guaranteed Profit Condition
Beyond latency arbitrage, certain market configurations allow for a **mathematically locked profit — independent of which outcome resolves**. This happens when YES and NO prices diverge from their equilibrium sum of 1.00.
{% hint style="info" %}
In 5-minute BTC markets the pair cost temporarily drops below 1.00 during rapid price swings — sometimes as low as 0.91–0.94. These windows are rare but high-value. PolyGoat monitors the pair cost continuously and executes asymmetric entries when the condition approaches.
{% endhint %}
## Real example — BTC 5-min market, $5,000 position
Entry on both sides at a combined pair cost of 0.93 USDC locks **+$357 profit regardless of direction** — a 7.1% return on capital for a single 5-minute cycle.
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