NOSTRADAMUS · Position Analytics Engine

SIMULATOR Will Turkiye finish first in World Cup Group D?

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-kxwcgroupwin-26d-tur page.

▼ NO EDGE YES · DO NOT TRADE

§1 · Position economics

Payoff diagram · binary contract P/L vs resolution
YES · Expected P/L per share -0.0499@ model P(YES) = 0.020
-1.00-0.50+0.00+0.50+1.000.000.200.400.600.801.00price 0.070model 0.020YES resolution priceP/L per $1 contract
P/L per sharemarket pricemodel Pprofit zoneloss zone
Profit is linear in the eventual settlement price.
Kelly growth curve · g(f) with f★ and deployed f markers
f★ = 0.00% · g(f★) = 0.000%deploy 0.00% · g = 0.000%
-2.00%-1.50%-1.00%-0.49%0.01%0%8%16%24%32%40%fraction of bankroll fexpected log-growth g(f)
g(f)f★ optimumdeployed fgrowth zone
Underbet leaves growth on the table; overbet destroys capital. The interior maximum is f★.

§2 · The trade ticket

Trade ticket · dollar outcomes at this stake
YES @ 0.070 · EV +$0stake $0 · 0.00% of bankroll
Deployed stakestake
$0
0.00% of bankroll
Sharesunits
0
each pays $1 if YES
Max payoutwin
$0
gross, if win
Max profitwin
+$0
net of cost
Max losslose
-$0
binary settles to $0
Payout multiple×
×14.29
$1 → $14.29
Risk:RewardR:R
13.29 : 1
win $13.29 per $1
Expected P/LE[P/L]
+$0
probability-weighted
OutcomeP(model)P/LContribution
Resolves YES (win)2.0%+$0+$0
Resolves against (lose)98.0%-$0-$0
Expected value100.0%+$0
What you actually win and lose. The bottom table tabulates probability-weighted P/L by outcome.

§3 · Break-even & cushion

Break-even & cushion · margin of safety
Cushion -5.0 pprelative edge -71.3%
Required win ratebreak-even
7.0%
price = implied probability
Model win rateP(win)
2.0%
what you forecast
Cushionedge
-5.0 pp
margin of safety
Fair pricemodel
0.020
where you think it should trade
-60-3003060020406080100you @ 7.0%market price (%)cushion (pp)
The market price equals the win rate you must beat to make money.

§4 · Odds conversion

Implied probability, decimal, American, fractional
Implied probabilityP
7.0%
= price
Decimal oddsEU
14.286
total return per $1
AmericanUS
+1329
$100 wins $1329
FractionalUK
13.29 / 1
profit per $1 risked
Profit per $100stake
+$1328.57
clean dollar framing
-1000-5000+500+1000020406080100you · 7.0%implied probability (%)American odds
underdog (+)favorite (-)your price
Five views of the same number.

§4b · Time & annualized return

Time & APR · capital lockup vs annualized return
APR -1240% · APY -100%ROI -71.3% over 21d · 17.4 turns/yr
Time to resolvehorizon
21.0 d
504h capital lockup
Raw ROIper resolve
-71.3%
APR (simple)scaled
-1240%
ROI × 365/days
APY (compounded)if redeployed
-100%
(1+ROI)^(365/d) − 1
Daily expectedper day
-5.78%
geometric, per day held
Capital turns/yrvelocity
×17.4
how often this slot recycles
-110%132%374%616%858%1100%121416180100120now 21ddays to resolutionannualized return (capped 1000%)
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

Cost waterfall · gross edge → net of friction
Net edge -5.74 pperosion 0% · break-even w/ fees 7.8%
-7.3pp-5.8pp-4.3pp-2.9pp-1.4pp0.1pp-4.99Gross edge-0.75- ½ spread+0.00- entry fee+0.00- exit fee-5.74Net edgeEV / share (pp)
gross edgefrictionnet edgefee 0 bps · spread 1.50¢
The number that decides whether to trade.

§6 · Sizing menu

Sizing menu · disciplined deployment
Full Kellyf★
$0
0.00% · g = 0.000%
Half Kelly½ f★
$0
0.00% · g = 0.000%
Quarter Kelly¼ f★
$0
0.00% · g = 0.000%
Flat 1%1%
$250
1.00% · g = -0.735%
Flat 2%2%
$500
2.00% · g = -1.507%
Flat 5%5%
$1,250
5.00% · g = -4.005%
Recommended¼ f★
$0
survives model error
$0$369$738$1,106$1,475$0Full Kelly0.00%$0Half Kelly0.00%$0Quarter Kelly0.00%$250Flat 1%1.00%$500Flat 2%2.00%$1,250Flat 5%5.00%
Quarter-Kelly is the industry default — survives model error far better than full Kelly.

§7 · Information theory

Binary entropy · uncertainty in bits
Market entropyH(p)
0.366 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.142 bit
Δ -0.224 bit vs market
Surprise · YES−log₂ p
3.84 bit
self-information
Surprise · NO−log₂(1−p)
0.10 bit
self-information
0.000.260.530.791.050.00.20.40.60.81.0marketmodelprobabilityH (bits)
H(p) peaks at p = 0.5 (one bit of irreducible doubt).
KL divergence · upper bound on exploitable edge
SIGNAL · D_KL(q ‖ p) = 0.0262 nat (0.0378 bit)exploitable edge present
-0.031-0.0070.0180.0420.067-0.0251YES branch0.0513NO branchΣKL = 0.0262 natKL contribution (nat)
YES contributionNO contributionbelief ‖ marketsignal
Zero KL ⇒ you know nothing the crowd doesn't.

§8 · Bayesian inference

Bayesian posterior · prior + evidence → belief with 95% CI
MARKET PRICE INSIDE 95% CIposterior μ 0.020 · CI [0.00, 0.30] · κ 4.5
Posterior meanE[θ]
0.020
Beta(0.1, 4.4)
95% credible intervalHDI
[0.00, 0.30]
price INSIDE → weak edge
Concentrationκ
4.5
pseudo-obs behind belief
Disagreementvs crowd
-5.0 pp
posterior − price
0.000.200.400.600.801.00marketposterior μprobability θposterior density
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)

Mark-to-market MC · single position held to resolution
E[P/L] -78.6% · P(YES) 1.5% · VaR₉₅ 100.0%400 paths · 504 bars to resolution
Expected P/Lper $1
-78.57%
P(YES) empiricalq
1.5%
Best pathmax
+1328.6%
Worst pathmin
-100.0%
VaR 95%5%
100.0%
CVaR 95%ES
100.0%
25¢50¢75¢100¢084168252336420504entry 7.0¢model q 2.0¢bars until resolutionprice path
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)

Monte-Carlo equity fan · this profile, repeated 400× independently
Median CAGR/bet -0.27% · ruin rate 0.0%400 paths × 120 bets · f deploy 0.50%
Sharpe / betμ/σ
-0.162
μ -0.22% · σ 1.4%
Sortino / betμ/σ↓
-0.446
downside-only denominator
VaR 95%5%
-0.5%
per-bet worst-case
CVaR 95%ES
-0.5%
mean tail loss
Max drawdownMDD
-27.7%
Calmar -0.01
Ruin rate≤50%
0.0%
P(equity ever ≤ 50%)
0.56×0.68×0.80×0.92×1.04×1.16×020406080100120startruin 50%bet #bankroll multiple
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

Probability stack · base rate vs crowd vs model
ANCHORED · supported by convictionanchor gap -55.3pp · crowd gap -50.3pp
0%20%40%60%80%100%Reference base rate57.3%Market price7.0%Model P(YES)2.0%
Anchor gapmodel − base
-55.3 pp
Crowd gapprice − base
-50.3 pp
Verdictdiscipline
ANCHORED
Reference-class anchoring prevents narrative-driven blowups.

§11 · Forecast quality (synthetic ledger)

Brier · Murphy decomposition · reliability · ROC
SKILL POSITIVE · in-sample BSS 15.0% · AUC 0.742out-of-sample BSS (5-fold) 15.4% ± 2.9% · Brier 0.2119 · log-loss 0.6318 · n 1600n = 1600
BrierBS
0.2119
lower = better · ō 0.47
BSSvs base
15.0%
improvement over base rate
ReliabilityREL
0.0089
miscalibration · want ↓
ResolutionRES
0.0454
decisiveness · want ↑
Log lossLL
0.6318
cross-entropy
AUCROC
0.742
0.5 coin · 1.0 oracle
0.00.20.40.60.81.00.00.20.40.60.81.0stated probability fobserved frequency ō0.00.20.40.60.81.00.00.20.40.60.81.0AUC = 0.742false positive ratetrue positive rate0.0000.0750.1500.2240.2990.249UNC0.045RES0.009REL0.212BRIERcontribution
calibration curveROCUNC (irreducible)RES (skill, ↑)REL (miscalib, ↓)
Computed on a seeded synthetic forecast ledger. Reseed (⟳) to redraw.

§12 · Journal vitals (synthetic ledger)

Track record · win rate · PF · expectancy · CLV · equity curve
PROFITABLE · PF 1.05 · expectancy +0.024R180 trades · win 51.7% · Sharpe 0.020
Total P/Lnet
+$1,075
on $45,000 cycled
Win ratehit %
51.7%
93 W / 87 L
Profit factorPF
1.05
$ won / $ lost
Expectancyper trade
+$5.97
avg $ per position
R-expectancyper risk
+0.024R
in units of risk taken
Avg win / losspayoff
$245.43 / -$250.00
ratio 0.98 : 1
Sharpe / traderisk-adj
0.020
μR / σR
Closing line valueCLV
+3.00 pp
avg edge vs close
-$630$428$1,487$2,546$3,60403672108144180trade #cumulative P/L (USD)
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.

▸ Advanced metrics · M2M bundle

kalshi · kxwcgroupwin-26d-tur · fresh · feed 1m old
24h sparkline · 60 pts -78.13%
realized vol (ann.)
611.70%
max drawdown
84.85%
sharpe
ulcer index
61.45%
RMS drawdown
pain index
49.61%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
82.26%
cond. drawdown
gain/pain
0.69
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
0.69
upside/downside
roll spread
801.9 bps
implied (price-only)
bars used
736
store
spread
1538.5 bps
24h Δ
-78.13%
flow lean
carry
flat
signalNEUTRALconfidence 25%
  • 24h change -78.13%
Same bundle via M2M API: /api/m2m/kalshi-kxwcgroupwin-26d-tur/bundle · venue execution: kalshi