NOSTRADAMUS · Position Analytics Engine
SIMULATOR Will the Morocco win the 2026 Men's World Cup?
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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/kalshi-kxmenworldcup-26-ma page.
▲ YES EDGE · +0.016 · f★ 1.6% · deploy 0.8% · net 0.84pp
§1 · Position economics
YES · Expected P/L per share +0.0159@ model P(YES) = 0.036
P/L per sharemarket pricemodel Pprofit zoneloss zone
Profit is linear in the eventual settlement price.
f★ = 1.62% · g(f★) = 0.524%deploy 0.81% · g = 0.417%
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 @ 0.020 · EV +$161stake $203 · 0.81% of bankroll
Deployed stakestake
$203
0.81% of bankroll
Sharesunits
10,148
each pays $1 if YES
Max payoutwin
$10,148
gross, if win
Max profitwin
+$9,945
net of cost
Max losslose
-$203
binary settles to $0
Payout multiple×
×50.00
$1 → $50.00
Risk:RewardR:R
49.00 : 1
win $49.00 per $1
Expected P/LE[P/L]
+$161
probability-weighted
| Outcome | P(model) | P/L | Contribution |
|---|---|---|---|
| Resolves YES (win) | 3.6% | +$9,945 | +$357 |
| Resolves against (lose) | 96.4% | -$203 | -$196 |
| Expected value | 100.0% | — | +$161 |
What you actually win and lose. The bottom table tabulates probability-weighted P/L by outcome.
§3 · Break-even & cushion
Cushion +1.6 pprelative edge +79.6%
Required win ratebreak-even
2.0%
price = implied probability
Model win rateP(win)
3.6%
what you forecast
Cushionedge
+1.6 pp
margin of safety
Fair pricemodel
0.036
where you think it should trade
The market price equals the win rate you must beat to make money.
§4 · Odds conversion
Implied probabilityP
2.0%
= price
Decimal oddsEU
50.000
total return per $1
AmericanUS
+4900
$100 wins $4900
FractionalUK
49.00 / 1
profit per $1 risked
Profit per $100stake
+$4900.00
clean dollar framing
underdog (+)favorite (-)your price
Five views of the same number.
§4b · Time & annualized return
APR 1383% · APY 2620847%ROI 79.6% over 21d · 17.4 turns/yr
Time to resolvehorizon
21.0 d
504h capital lockup
Raw ROIper resolve
+79.6%
APR (simple)scaled
+1383%
ROI × 365/days
APY (compounded)if redeployed
+2620847%
(1+ROI)^(365/d) − 1
Daily expectedper day
+2.83%
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 +0.84 pperosion 47% · break-even w/ fees 2.8%
gross edgefrictionnet edgefee 0 bps · spread 1.50¢
The number that decides whether to trade.
§6 · Sizing menu
Full Kellyf★
$406
1.62% · g = 0.524%
Half Kelly½ f★
$203
0.81% · g = 0.417%
Quarter Kelly¼ f★
$101
0.41% · g = 0.259%
Flat 1%1%
$250
1.00% · g = 0.463%
Flat 2%2%
$500
2.00% · g = 0.505%
Flat 5%5%
$1,250
5.00% · g = -0.498%
Recommended¼ f★
$101
survives model error
Quarter-Kelly is the industry default — survives model error far better than full Kelly.
§7 · Information theory
Market entropyH(p)
0.141 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.223 bit
Δ +0.082 bit vs market
Surprise · YES−log₂ p
5.64 bit
self-information
Surprise · NO−log₂(1−p)
0.03 bit
self-information
H(p) peaks at p = 0.5 (one bit of irreducible doubt).
NOISE · D_KL(q ‖ p) = 0.0052 nat (0.0076 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 0.036 · CI [0.00, 0.23] · κ 8.6
Posterior meanE[θ]
0.036
Beta(0.3, 8.3)
95% credible intervalHDI
[0.00, 0.23]
price INSIDE → weak edge
Concentrationκ
8.6
pseudo-obs behind belief
Disagreementvs crowd
+1.6 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] +150.0% · P(YES) 5.0% · VaR₉₅ 100.0%400 paths · 504 bars to resolution
Expected P/Lper $1
+150.00%
P(YES) empiricalq
5.0%
Best pathmax
+4900.0%
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 0.90% · ruin rate 0.5%400 paths × 120 bets · f deploy 0.81%
Sharpe / betμ/σ
0.134
μ 1.17% · σ 8.8%
Sortino / betμ/σ↓
1.444
downside-only denominator
VaR 95%5%
-0.8%
per-bet worst-case
CVaR 95%ES
-0.8%
mean tail loss
Max drawdownMDD
-15.0%
Calmar 0.06
Ruin rate≤50%
0.5%
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 -53.7pp · crowd gap -55.3pp
Anchor gapmodel − base
-53.7 pp
Crowd gapprice − base
-55.3 pp
Verdictdiscipline
ANCHORED
Reference-class anchoring prevents narrative-driven blowups.
§11 · Forecast quality (synthetic ledger)
SKILL POSITIVE · in-sample BSS 23.7% · AUC 0.787out-of-sample BSS (5-fold) 23.9% ± 3.2% · Brier 0.1898 · log-loss 0.5709 · n 1600✓ n = 1600
BrierBS
0.1898
lower = better · ō 0.54
BSSvs base
23.7%
improvement over base rate
ReliabilityREL
0.0041
miscalibration · want ↓
ResolutionRES
0.0630
decisiveness · want ↑
Log lossLL
0.5709
cross-entropy
AUCROC
0.787
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 1.03 · expectancy +0.017R180 trades · win 50.6% · Sharpe 0.014
Total P/Lnet
+$761
on $45,000 cycled
Win ratehit %
50.6%
91 W / 89 L
Profit factorPF
1.03
$ won / $ lost
Expectancyper trade
+$4.23
avg $ per position
R-expectancyper risk
+0.017R
in units of risk taken
Avg win / losspayoff
$252.87 / -$250.00
ratio 1.01 : 1
Sharpe / traderisk-adj
0.014
μR / σR
Closing line valueCLV
+3.66 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.