NOSTRADAMUS · Position Analytics Engine

SIMULATOR Will Iran close its airspace by July 15?

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-will-iran-close-its-airspace-by-july-15-20260609184136055 page.

▲ YES EDGE · +0.057 · f★ 6.6% · deploy 3.3% · net 4.91pp

§1 · Position economics

Payoff diagram · binary contract P/L vs resolution
YES · Expected P/L per share +0.0566@ model P(YES) = 0.197
-1.00-0.50+0.00+0.50+1.000.000.200.400.600.801.00price 0.140model 0.197YES 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★ = 6.58% · g(f★) = 1.206%deploy 3.29% · g = 0.932%
-5.62%-3.87%-2.12%-0.36%1.39%0%8%16%24%32%40%f★ optimumdeployfraction 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 @ 0.140 · EV +$333stake $823 · 3.29% of bankroll
Deployed stakestake
$823
3.29% of bankroll
Sharesunits
5,877
each pays $1 if YES
Max payoutwin
$5,877
gross, if win
Max profitwin
+$5,055
net of cost
Max losslose
-$823
binary settles to $0
Payout multiple×
×7.14
$1 → $7.14
Risk:RewardR:R
6.14 : 1
win $6.14 per $1
Expected P/LE[P/L]
+$333
probability-weighted
OutcomeP(model)P/LContribution
Resolves YES (win)19.7%+$5,055+$994
Resolves against (lose)80.3%-$823-$661
Expected value100.0%+$333
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 +5.7 pprelative edge +40.4%
Required win ratebreak-even
14.0%
price = implied probability
Model win rateP(win)
19.7%
what you forecast
Cushionedge
+5.7 pp
margin of safety
Fair pricemodel
0.197
where you think it should trade
-60-3003060020406080100you @ 14.0%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
14.0%
= price
Decimal oddsEU
7.143
total return per $1
AmericanUS
+614
$100 wins $614
FractionalUK
6.14 / 1
profit per $1 risked
Profit per $100stake
+$614.29
clean dollar framing
-1000-5000+500+1000020406080100you · 14.0%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 703% · APY 36490%ROI 40.4% over 21d · 17.4 turns/yr
Time to resolvehorizon
21.0 d
504h capital lockup
Raw ROIper resolve
+40.4%
APR (simple)scaled
+703%
ROI × 365/days
APY (compounded)if redeployed
+36490%
(1+ROI)^(365/d) − 1
Daily expectedper day
+1.63%
geometric, per day held
Capital turns/yrvelocity
×17.4
how often this slot recycles
0%8028%16056%24084%32112%40140%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 +4.91 pperosion 13% · break-even w/ fees 14.8%
-0.1pp1.4pp2.8pp4.3pp5.7pp7.2pp+5.66Gross edge-0.75- ½ spread+0.00- entry fee+0.00- exit fee+4.91Net 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★
$1,646
6.58% · g = 1.206%
Half Kelly½ f★
$823
3.29% · g = 0.932%
Quarter Kelly¼ f★
$411
1.65% · g = 0.560%
Flat 1%1%
$250
1.00% · g = 0.365%
Flat 2%2%
$500
2.00% · g = 0.655%
Flat 5%5%
$1,250
5.00% · g = 1.145%
Recommended¼ f★
$411
survives model error
$0$485$971$1,456$1,942$1,646Full Kelly6.58%$823Half Kelly3.29%$411Quarter Kelly1.65%$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)
0.584 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.715 bit
Δ +0.131 bit vs market
Surprise · YES−log₂ p
2.84 bit
self-information
Surprise · NO−log₂(1−p)
0.22 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
NOISE · D_KL(q ‖ p) = 0.0121 nat (0.0174 bit)belief ≈ market — stand down
-0.067-0.0280.0100.0480.0870.0668YES branch-0.0547NO branchΣKL = 0.0121 natKL contribution (nat)
YES contributionNO contributionbelief ‖ marketnoise
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 0.197 · CI [0.09, 0.33] · κ 42.9
Posterior meanE[θ]
0.197
Beta(8.4, 34.4)
95% credible intervalHDI
[0.09, 0.33]
price INSIDE → weak edge
Concentrationκ
42.9
pseudo-obs behind belief
Disagreementvs crowd
+5.7 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] +28.6% · P(YES) 18.0% · VaR₉₅ 100.0%400 paths · 504 bars to resolution
Expected P/Lper $1
+28.57%
P(YES) empiricalq
18.0%
Best pathmax
+614.3%
Worst pathmin
-100.0%
VaR 95%5%
100.0%
CVaR 95%ES
100.0%
25¢50¢75¢100¢084168252336420504entry 14.0¢model q 19.7¢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 0.83% · ruin rate 11.0%400 paths × 120 bets · f deploy 3.29%
Sharpe / betμ/σ
0.144
μ 1.34% · σ 9.4%
Sortino / betμ/σ↓
0.409
downside-only denominator
VaR 95%5%
-3.3%
per-bet worst-case
CVaR 95%ES
-3.3%
mean tail loss
Max drawdownMDD
-18.2%
Calmar 0.05
Ruin rate≤50%
11.0%
P(equity ever ≤ 50%)
0.52×3.74×6.97×10.19×13.42×16.64×020406080100120startruin 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 -33.2pp · crowd gap -38.9pp
0%20%40%60%80%100%Reference base rate52.9%Market price14.0%Model P(YES)19.7%
Anchor gapmodel − base
-33.2 pp
Crowd gapprice − base
-38.9 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 19.5% · AUC 0.763out-of-sample BSS (5-fold) 19.6% ± 2.1% · Brier 0.2013 · log-loss 0.5992 · n 1600n = 1600
BrierBS
0.2013
lower = better · ō 0.50
BSSvs base
19.5%
improvement over base rate
ReliabilityREL
0.0041
miscalibration · want ↓
ResolutionRES
0.0526
decisiveness · want ↑
Log lossLL
0.5992
cross-entropy
AUCROC
0.763
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 = 0.763false positive ratetrue positive rate0.0000.0750.1500.2250.3000.250UNC0.053RES0.004REL0.201BRIERcontribution
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 1.15 · expectancy +0.074R180 trades · win 51.7% · Sharpe 0.063
Total P/Lnet
+$3,314
on $45,000 cycled
Win ratehit %
51.7%
93 W / 87 L
Profit factorPF
1.15
$ won / $ lost
Expectancyper trade
+$18.41
avg $ per position
R-expectancyper risk
+0.074R
in units of risk taken
Avg win / losspayoff
$269.51 / -$250.00
ratio 1.08 : 1
Sharpe / traderisk-adj
0.063
μR / σR
Closing line valueCLV
+2.54 pp
avg edge vs close
-$2,757-$1,158$441$2,040$3,63903672108144180trade #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

polymarket · will-iran-close-its-airspace-by-july-15-20260609184136055 · fresh · feed 0s old
24h sparkline · 60 pts
realized vol (ann.)
893.29%
max drawdown
65.43%
sharpe
ulcer index
35.03%
RMS drawdown
pain index
28.12%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
65.43%
cond. drawdown
gain/pain
0.12
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
0.12
upside/downside
roll spread
39.1 bps
implied (price-only)
bars used
468
store
spread
24h Δ
flow lean
carry
flat
signalNEUTRALconfidence 20%
Same bundle via M2M API: /api/m2m/pm-will-iran-close-its-airspace-by-july-15-20260609184136055/bundle · venue execution: polymarket