I will use this data set:

Gold Aug 26 (GC=F) Stock Price, News, Quote & History - Yahoo Finance

I have asked three LLM models to calculate the 50/50 maximum gold price estimate based on historic data. I asked for a statistical method and a python script. I could not immediately verify the methods and code, because this is a learning exercise for myself. But these are the three outputs I got:

(DeepSeek) >>>

Fetching data for GC=F from 2026-01-02 to 2026-06-30...

Successfully calculated threshold using 121 trading days of data.

========================================

RESULT: The calculated price threshold (X) is: $4722.30

========================================

Based on the last 6 months of historical data:

If the daily maximum gold price is above $4722.30 on any day in July 2026, the bet 'YES' would be correct.

If it stays below $4722.30 for the entire month, the bet 'NO' would be correct.

This threshold represents the 50th percentile (median) of daily highs in the historical sample.

(ChatGPT) >>>

Estimated trading/session days in target month: 23

Downloaded rows: 138

First row: 2025-12-08

Last row: 2026-06-26

As-of Close used: 4078.70 on 2026-06-26

Historical windows used: 102

--- Main result ---

Median historical max multiplier: 1.04783

Estimated 50/50 threshold X: 4273.79

25th percentile threshold: 4143.17

50th percentile threshold: 4273.79

75th percentile threshold: 4510.02

90th percentile threshold: 4965.57

(Claude) >>>

Ticker : GC=F

Last data date : 2026-06-26

Start price S0 (close) : 4,078.70

Calibration window : 123 trading days (~180 cal. days)

Daily vol sigma_hat : 2.1661% (annualised ~34.4%)

Daily drift mu_hat : -0.0477% (annualised ~-12.0%)

July trading days T : 23

Analytic driftless ref : X ~ 4,375

drift mode GBM X (median) Bootstrap X (median)

------------------------------------------------------

historical 4,419 4,352

zero 4,447 4,375

martingale 4,434 4,368

RECOMMENDED X (bootstrap, martingale): 4,368

implied P(July max > X) = 50.0% (target 50%)

July-max 25/50/75 pctile = 4,192 / 4,368 / 4,576

Read the spread of X across drift modes (section 8) as the drift risk

you are taking on. If the Manifold market's implied X sits inside that

spread, your 'edge' is really a bet on gold's drift, not its volatility.