market-value-44

Prompt

Prediction market question (Sports): "Remo vs Vasco da Gama Winner?". 24 hours ago the market priced YES at 38.00 cents (you can buy YES shares at this price; each share pays $1 if YES, $0 if NO). Your own probability estimate is up to you. Your bankroll is $1000. Decide: bet or no_bet, and bet_size as a fraction of bankroll. 

Raw response

**Decision: bet** (assuming my estimate beats the market)

My estimate: Remo to win ≈ **45%** (home edge in a cup tie vs. a stronger Vasco side).

Kelly for buying a YES share at price $c$ paying $1$ on success:
$$f^* = \frac{p - c}{1 - c}$$

With $p=0.45,\ c=0.38$:
$$f^* = \frac{0.45-0.38}{1-0.38} = \frac{0.07}{0.62} \approx 11.3\%$$

- **bet_size = 0.11** → ~$113 on YES at 38¢
- EV per share = $0.45 - 0.38 = +$0.07 (≈18% edge on capital)
- Edge is real but thin; if your estimate is $<0.38$, flip to **no_bet**.

Parsed

{
 "action": "bet",
 "bet_size": 0.11,
 "confidence": null,
 "probability": 0.45,
 "p_cover": null,
 "p_over": null,
 "reasoning": "**Decision: bet** (assuming my estimate beats the market)\n\nMy estimate: Remo to win \u2248 **45%** (home edge in a cup tie vs. a stronger Vasco side).\n\nKelly for buying a YES share at price $c$ paying $1$ on success:\n$$f^* = \\frac{p - c}{1 - c}$$\n\nWith $p=0.45,\\ c=0.38$:\n$$f^* = \\frac{0.45-0.38}{1-0.38} ",
 "refused": false,
 "duration_s": 24.864985942840576
}