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 · +0.055 · f★ 6.5% · deploy 3.2% · net 4.77pp

§1 · Position economics

Payoff diagram · binary contract P/L vs resolution
YES · Expected P/L per share +0.0552@ model P(YES) = 0.205
-1.00-0.50+0.00+0.50+1.000.000.200.400.600.801.00price 0.150model 0.205YES 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★ = 6.49% · g(f★) = 1.092%deploy 3.24% · g = 0.841%
-5.27%-3.64%-2.01%-0.38%1.26%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 @ 0.150 · EV +$298stake $811 · 3.24% of bankroll
Deployed stakestake
$811
3.24% of bankroll
Sharesunits
5,408
each pays $1 if YES
Max payoutwin
$5,408
gross, if win
Max profitwin
+$4,596
net of cost
Max losslose
-$811
binary settles to $0
Payout multiple×
×6.67
$1 → $6.67
Risk:RewardR:R
5.67 : 1
win $5.67 per $1
Expected P/LE[P/L]
+$298
probability-weighted
OutcomeP(model)P/LContribution
Resolves YES (win)20.5%+$4,596+$943
Resolves against (lose)79.5%-$811-$645
Expected value100.0%+$298
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 +5.5 pprelative edge +36.8%
Required win ratebreak-even
15.0%
price = implied probability
Model win rateP(win)
20.5%
what you forecast
Cushionedge
+5.5 pp
margin of safety
Fair pricemodel
0.205
where you think it should trade
-60-3003060020406080100you @ 15.0%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
15.0%
= price
Decimal oddsEU
6.667
total return per $1
AmericanUS
+567
$100 wins $567
FractionalUK
5.67 / 1
profit per $1 risked
Profit per $100stake
+$566.67
clean dollar framing
-1000-5000+500+1000020406080100you · 15.0%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 639% · APY 23007%ROI 36.8% over 21d · 17.4 turns/yr
Time to resolvehorizon
21.0 d
504h capital lockup
Raw ROIper resolve
+36.8%
APR (simple)scaled
+639%
ROI × 365/days
APY (compounded)if redeployed
+23007%
(1+ROI)^(365/d) − 1
Daily expectedper day
+1.50%
geometric, per day held
Capital turns/yrvelocity
×17.4
how often this slot recycles
0%5062%10123%15185%20246%25308%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 +4.77 pperosion 14% · break-even w/ fees 15.8%
-0.1pp1.3pp2.7pp4.2pp5.6pp7.0pp+5.52Gross edge-0.75- ½ spread+0.00- entry fee+0.00- exit fee+4.77Net 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★
$1,622
6.49% · g = 1.092%
Half Kelly½ f★
$811
3.24% · g = 0.841%
Quarter Kelly¼ f★
$406
1.62% · g = 0.504%
Flat 1%1%
$250
1.00% · g = 0.332%
Flat 2%2%
$500
2.00% · g = 0.597%
Flat 5%5%
$1,250
5.00% · g = 1.041%
Recommended¼ f★
$406
survives model error
$0$479$957$1,436$1,914$1,622Full Kelly6.49%$811Half Kelly3.24%$406Quarter Kelly1.62%$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)
0.610 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.732 bit
Δ +0.122 bit vs market
Surprise · YES−log₂ p
2.74 bit
self-information
Surprise · NO−log₂(1−p)
0.23 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) = 0.0109 nat (0.0157 bit)belief ≈ market — stand down
-0.065-0.0280.0090.0460.0840.0642YES branch-0.0533NO branchΣKL = 0.0109 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 0.205 · CI [0.10, 0.33] · κ 44.3
Posterior meanE[θ]
0.205
Beta(9.1, 35.2)
95% credible intervalHDI
[0.10, 0.33]
price INSIDE → weak edge
Concentrationκ
44.3
pseudo-obs behind belief
Disagreementvs crowd
+5.5 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] +21.7% · P(YES) 18.3% · VaR₉₅ 100.0%400 paths · 504 bars to resolution
Expected P/Lper $1
+21.67%
P(YES) empiricalq
18.3%
Best pathmax
+566.7%
Worst pathmin
-100.0%
VaR 95%5%
100.0%
CVaR 95%ES
100.0%
25¢50¢75¢100¢084168252336420504entry 15.0¢model q 20.5¢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 0.91% · ruin rate 10.3%400 paths × 120 bets · f deploy 3.24%
Sharpe / betμ/σ
0.138
μ 1.20% · σ 8.7%
Sortino / betμ/σ↓
0.371
downside-only denominator
VaR 95%5%
-3.2%
per-bet worst-case
CVaR 95%ES
-3.2%
mean tail loss
Max drawdownMDD
-15.2%
Calmar 0.06
Ruin rate≤50%
10.3%
P(equity ever ≤ 50%)
0.51×3.05×5.59×8.12×10.66×13.20×020406080100120startruin 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 -32.4pp · crowd gap -37.9pp
0%20%40%60%80%100%Reference base rate52.9%Market price15.0%Model P(YES)20.5%
Anchor gapmodel − base
-32.4 pp
Crowd gapprice − base
-37.9 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.)
736.99%
max drawdown
65.43%
sharpe
ulcer index
46.36%
RMS drawdown
pain index
39.66%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
65.43%
cond. drawdown
gain/pain
0.15
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
0.15
upside/downside
roll spread
30.4 bps
implied (price-only)
bars used
690
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