Method write-ups for three retired / piloted systematic models, each with a theoretical expected-return and drawdown table. Every figure is theoretical or illustrative and, where relevant, small-sample. The tennis model’s live pilot was net negative — we publish that plainly. These are research artifacts, not investment advice or performance promises.
Conditional-Threshold In-Play Follow-On Model
Theoretical
n≈246 live · net negative
Tennis. Assemble a below-$1 two-outcome pair, then progressively sell the trailing leg as the favorite’s price crosses ascending conditional thresholds; hold the winning leg to settlement. Positive expectation is theoretical and conditional on execution fixes (pair-completion, stuck single legs) that are not yet validated live.
Monthly (illustrative $1.5k bankroll)
| Expected E[month] | +$618 |
| Monthly σ | $456 |
| 30-day max drawdown P50/P90/P99 | $281 / $528 / $847 |
| Break-even win rate | ≈ 0.845 |
Single-match EV decomposition (illustrative $120 stake)
| Follow-on · favorite wins · p 0.783 | +$18 |
| Follow-on · favorite loses · p 0.117 | −$85 |
| Pair incomplete · p 0.10 | −$10 |
| Net EV / match | +$3.24 |
Theoretical
Illustrative bankroll
Live pilot net negative
Refinement stage
Live pilot (n≈246 recorded matches) net P&L was negative; a realistic-execution backtest gives −$5.93/match, driven entirely by failed pair assembly rather than the signal. Calibrated conditional win rate 0.871 (Wilson [0.822, 0.908]); expectation flips negative near the lower bound. Theoretical only — not a promise of results.
In-Play Over/Under Ladder-Merge Liquidity Model
Theoretical
n=19 matches · archived
Soccer. Provide two-sided passive liquidity around a self-computed in-play fair (Paper 02) during post-event price overshoots; redeem matched pairs to $1 for a locked spread, holding un-paired inventory as convex tail exposure. Retired subsystem; figures are book-level backtest only.
Book-level backtest (per goal window)
| Edge per share | +4.6 to +5.6c |
| Pair (merge) completion | ≈ 85% |
| In-sample blow-ups | 0 |
| Gross / match (illustrative $3 unit) | ≈ +$1.5 to +$2 |
Notes
| Independent MC model | n/a |
| Return mechanism | two-sided build + redeem |
| “Rebound” narrative | not supported |
| Sample | 19 matches / 38 events |
Theoretical
Small sample (n=19)
Not MC-modeled
Archived / retired
Edge is real but the mechanism is liquidity provision plus redemption — there is no measurable post-event price rebound (settled−trough median 0.01). One execution incident cost several times a good match’s gross; the algebra of a thin edge times an incident rate is why this stayed small and was retired. Illustrative unit sizing only — not account results.
Monte-Carlo Portfolio Risk Engine
Theoretical
Methodology tool
Portfolio simulator behind Paper 03: back-solved unit-economics buckets driven through 150k×90d Monte-Carlo to size risk and stress the tail. Outputs below combine the tennis and baseball pilots on an illustrative bankroll; they swing sign on the win-rate and pair-completion inputs.
Combined portfolio (illustrative $1.5k bankroll)
| Expected E[month] | +$551 |
| Monthly σ | $490 |
| Daily E / σ | +$18.3 / $90 |
| 30-day max drawdown P50/P90/P99 | $318 / $602 / $960 |
| 90-day drawdown P99 | $1,341 |
Risk / sensitivity
| P(30-day peak-to-trough ≥ $300) | ≈ 55% |
| Win rate ±2pp → monthly E | +$196 ↔ +$901 |
| Pair completion 0.43↔0.90 → E | −$764 ↔ +$548 |
| Paths / horizon | 150k × 90d |
Theoretical
Illustrative bankroll
Sign-sensitive to inputs
A high monthly expectation and an extreme drawdown percentile are the same small-account / large-stake signature: monthly σ (≈31% of the illustrative bankroll) exceeds the $300 kill line, so most simulated months touch it. Expectation is positive at the central estimate but crosses zero within the sample’s win-rate confidence interval. Theoretical — not a promise of results.