NOSTRADAMUS · Position Analytics Engine
SIMULATOR Exact Score: Germany 2 - 1 Curaçao?
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A live, interactive instrument for dissecting a single binary position. Sweep the inputs and watch every indicator recompute — payoff geometry, Kelly growth, Bayesian posterior, KL divergence, cost waterfall, Monte-Carlo equity fan, forecast calibration. Companion to the live /feed/pm-fifwc-ger-kor-2026-06-14-exact-score-2-1 page.
▲ YES EDGE · +0.014 · f★ 1.5% · deploy 0.7% · net 0.65pp
§1 · Position economics
YES · Expected P/L per share +0.0140@ model P(YES) = 0.054
P/L per sharemarket pricemodel Pprofit zoneloss zone
Profit is linear in the eventual settlement price.
f★ = 1.46% · g(f★) = 0.233%deploy 0.73% · g = 0.181%
g(f)f★ optimumdeployed fgrowth zone
Underbet leaves growth on the table; overbet destroys capital. The interior maximum is f★.
§2 · The trade ticket
YES @ 0.040 · EV +$65stake $182 · 0.73% of bankroll
Deployed stakestake
$182
0.73% of bankroll
Sharesunits
4,613
each pays $1 if YES
Max payoutwin
$4,613
gross, if win
Max profitwin
+$4,431
net of cost
Max losslose
-$182
binary settles to $0
Payout multiple×
×25.32
$1 → $25.32
Risk:RewardR:R
24.32 : 1
win $24.32 per $1
Expected P/LE[P/L]
+$65
probability-weighted
| Outcome | P(model) | P/L | Contribution |
|---|---|---|---|
| Resolves YES (win) | 5.4% | +$4,431 | +$237 |
| Resolves against (lose) | 94.6% | -$182 | -$172 |
| Expected value | 100.0% | — | +$65 |
What you actually win and lose. The bottom table tabulates probability-weighted P/L by outcome.
§3 · Break-even & cushion
Cushion +1.4 pprelative edge +35.4%
Required win ratebreak-even
4.0%
price = implied probability
Model win rateP(win)
5.4%
what you forecast
Cushionedge
+1.4 pp
margin of safety
Fair pricemodel
0.054
where you think it should trade
The market price equals the win rate you must beat to make money.
§4 · Odds conversion
Implied probabilityP
4.0%
= price
Decimal oddsEU
25.316
total return per $1
AmericanUS
+2432
$100 wins $2432
FractionalUK
24.32 / 1
profit per $1 risked
Profit per $100stake
+$2431.65
clean dollar framing
underdog (+)favorite (-)your price
Five views of the same number.
§4b · Time & annualized return
APR 616% · APY 19418%ROI 35.4% over 21d · 17.4 turns/yr
Time to resolvehorizon
21.0 d
504h capital lockup
Raw ROIper resolve
+35.4%
APR (simple)scaled
+616%
ROI × 365/days
APY (compounded)if redeployed
+19418%
(1+ROI)^(365/d) − 1
Daily expectedper day
+1.46%
geometric, per day held
Capital turns/yrvelocity
×17.4
how often this slot recycles
simple APRcompounded APYyour horizon
Rank positions by APR, not raw ROI. A thin edge tomorrow beats a fat edge next year.
§5 · Costs & net edge
Net edge +0.65 pperosion 54% · break-even w/ fees 4.7%
gross edgefrictionnet edgefee 0 bps · spread 1.50¢
The number that decides whether to trade.
§6 · Sizing menu
Full Kellyf★
$364
1.46% · g = 0.233%
Half Kelly½ f★
$182
0.73% · g = 0.181%
Quarter Kelly¼ f★
$91
0.36% · g = 0.109%
Flat 1%1%
$250
1.00% · g = 0.213%
Flat 2%2%
$500
2.00% · g = 0.208%
Flat 5%5%
$1,250
5.00% · g = -0.598%
Recommended¼ f★
$91
survives model error
Quarter-Kelly is the industry default — survives model error far better than full Kelly.
§7 · Information theory
Market entropyH(p)
0.240 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.301 bit
Δ +0.061 bit vs market
Surprise · YES−log₂ p
4.66 bit
self-information
Surprise · NO−log₂(1−p)
0.06 bit
self-information
H(p) peaks at p = 0.5 (one bit of irreducible doubt).
NOISE · D_KL(q ‖ p) = 0.0023 nat (0.0034 bit)belief ≈ market — stand down
YES contributionNO contributionbelief ‖ marketnoise
Zero KL ⇒ you know nothing the crowd doesn't.
§8 · Bayesian inference
MARKET PRICE INSIDE 95% CIposterior μ 0.054 · CI [0.00, 0.22] · κ 13.1
Posterior meanE[θ]
0.054
Beta(0.7, 12.4)
95% credible intervalHDI
[0.00, 0.22]
price INSIDE → weak edge
Concentrationκ
13.1
pseudo-obs behind belief
Disagreementvs crowd
+1.4 pp
posterior − price
market prior (dashed)model posterior95% credible bandmarket price
When the market price falls outside the 95% credible interval, your disagreement is statistically meaningful.
§9 · Tail risk · Monte-Carlo (mode A · single position to resolution)
E[P/L] +70.9% · P(YES) 6.8% · VaR₉₅ 100.0%400 paths · 504 bars to resolution
Expected P/Lper $1
+70.89%
P(YES) empiricalq
6.8%
Best pathmax
+2431.6%
Worst pathmin
-100.0%
VaR 95%5%
100.0%
CVaR 95%ES
100.0%
median path25/75 + 5/95 bandsentry pricemodel q
Logit-space mean-reverting walk + terminal flip with probability q. Answers: 'what happens to THIS one position'. Distinct from the repeated-edge fan below.
§9b · Tail risk · Monte-Carlo (mode B · repeated independent edges)
Median CAGR/bet 0.26% · ruin rate 0.3%400 paths × 120 bets · f deploy 0.73%
Sharpe / betμ/σ
0.101
μ 0.46% · σ 4.5%
Sortino / betμ/σ↓
0.626
downside-only denominator
VaR 95%5%
-0.7%
per-bet worst-case
CVaR 95%ES
-0.7%
mean tail loss
Max drawdownMDD
-12.3%
Calmar 0.02
Ruin rate≤50%
0.3%
P(equity ever ≤ 50%)
median25/75 band5/95 bandruin line
Answers a different question: 'if I could find this exact edge forever, what is the bankroll trajectory'. Compounds 120 sequential resolutions which is NOT what happens to a single position.
§10 · Base-rate & macro context
ANCHORED · supported by convictionanchor gap -52.7pp · crowd gap -54.1pp
Anchor gapmodel − base
-52.7 pp
Crowd gapprice − base
-54.1 pp
Verdictdiscipline
ANCHORED
Reference-class anchoring prevents narrative-driven blowups.
§11 · Forecast quality (synthetic ledger)
SKILL POSITIVE · in-sample BSS 20.0% · AUC 0.767out-of-sample BSS (5-fold) 20.1% ± 4.1% · Brier 0.1998 · log-loss 0.5960 · n 1600✓ n = 1600
BrierBS
0.1998
lower = better · ō 0.51
BSSvs base
20.0%
improvement over base rate
ReliabilityREL
0.0045
miscalibration · want ↓
ResolutionRES
0.0542
decisiveness · want ↑
Log lossLL
0.5960
cross-entropy
AUCROC
0.767
0.5 coin · 1.0 oracle
calibration curveROCUNC (irreducible)RES (skill, ↑)REL (miscalib, ↓)
Computed on a seeded synthetic forecast ledger. Reseed (⟳) to redraw.
§12 · Journal vitals (synthetic ledger)
PROFITABLE · PF 1.42 · expectancy +0.182R180 trades · win 56.7% · Sharpe 0.138
Total P/Lnet
+$8,211
on $45,000 cycled
Win ratehit %
56.7%
102 W / 78 L
Profit factorPF
1.42
$ won / $ lost
Expectancyper trade
+$45.62
avg $ per position
R-expectancyper risk
+0.182R
in units of risk taken
Avg win / losspayoff
$271.68 / -$250.00
ratio 1.09 : 1
Sharpe / traderisk-adj
0.138
μR / σR
Closing line valueCLV
+2.93 pp
avg edge vs close
cumulative P/Lprofitable zonered zonesynthetic · seeded from asset
The scorecard every trader checks. Synthetic ledger seeded from the asset slug — recomputes against your real fill history once wired.