NOSTRADAMUS · Position Analytics Engine

SIMULATOR US obtains Iranian enriched uranium by June 30?

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-us-obtains-iranian-enriched-uranium-by-june-30 page.

▲ YES EDGE · +0.008 · f★ 0.8% · deploy 0.4% · net 0.07pp

§1 · Position economics

Payoff diagram · binary contract P/L vs resolution
YES · Expected P/L per share +0.0082@ model P(YES) = 0.030
-1.00-0.50+0.00+0.50+1.000.000.200.400.600.801.00price 0.022model 0.030YES 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★ = 0.84% · g(f★) = 0.139%deploy 0.42% · g = 0.108%
-2.42%-1.77%-1.13%-0.48%0.16%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 @ 0.022 · EV +$39stake $104 · 0.42% of bankroll
Deployed stakestake
$104
0.42% of bankroll
Sharesunits
4,747
each pays $1 if YES
Max payoutwin
$4,747
gross, if win
Max profitwin
+$4,643
net of cost
Max losslose
-$104
binary settles to $0
Payout multiple×
×45.45
$1 → $45.45
Risk:RewardR:R
44.45 : 1
win $44.45 per $1
Expected P/LE[P/L]
+$39
probability-weighted
OutcomeP(model)P/LContribution
Resolves YES (win)3.0%+$4,643+$140
Resolves against (lose)97.0%-$104-$101
Expected value100.0%+$39
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 +0.8 pprelative edge +37.1%
Required win ratebreak-even
2.2%
price = implied probability
Model win rateP(win)
3.0%
what you forecast
Cushionedge
+0.8 pp
margin of safety
Fair pricemodel
0.030
where you think it should trade
-60-3003060020406080100you @ 2.2%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
2.2%
= price
Decimal oddsEU
45.455
total return per $1
AmericanUS
+4445
$100 wins $4445
FractionalUK
44.45 / 1
profit per $1 risked
Profit per $100stake
+$4445.45
clean dollar framing
-1000-5000+500+1000020406080100you · 2.2%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 646% · APY 24124%ROI 37.1% over 21d · 17.4 turns/yr
Time to resolvehorizon
21.0 d
504h capital lockup
Raw ROIper resolve
+37.1%
APR (simple)scaled
+646%
ROI × 365/days
APY (compounded)if redeployed
+24124%
(1+ROI)^(365/d) − 1
Daily expectedper day
+1.52%
geometric, per day held
Capital turns/yrvelocity
×17.4
how often this slot recycles
0%5307%10615%15922%21229%26536%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 +0.07 pperosion 92% · break-even w/ fees 2.9%
-0.1pp0.1pp0.4pp0.6pp0.9pp1.1pp+0.82Gross edge-0.75- ½ spread+0.00- entry fee+0.00- exit fee+0.07Net 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★
$209
0.84% · g = 0.139%
Half Kelly½ f★
$104
0.42% · g = 0.108%
Quarter Kelly¼ f★
$52
0.21% · g = 0.065%
Flat 1%1%
$250
1.00% · g = 0.135%
Flat 2%2%
$500
2.00% · g = -0.040%
Flat 5%5%
$1,250
5.00% · g = -1.444%
Recommended¼ f★
$52
survives model error
$0$369$738$1,106$1,475$209Full Kelly0.84%$104Half Kelly0.42%$52Quarter Kelly0.21%$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)
0.153 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.195 bit
Δ +0.043 bit vs market
Surprise · YES−log₂ p
5.51 bit
self-information
Surprise · NO−log₂(1−p)
0.03 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) = 0.0014 nat (0.0020 bit)belief ≈ market — stand down
-0.011-0.0050.0010.0070.0120.0095YES branch-0.0081NO branchΣKL = 0.0014 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 0.030 · CI [0.00, 0.24] · κ 7.1
Posterior meanE[θ]
0.030
Beta(0.2, 6.9)
95% credible intervalHDI
[0.00, 0.24]
price INSIDE → weak edge
Concentrationκ
7.1
pseudo-obs behind belief
Disagreementvs crowd
+0.8 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] +59.1% · P(YES) 3.5% · VaR₉₅ 100.0%400 paths · 504 bars to resolution
Expected P/Lper $1
+59.09%
P(YES) empiricalq
3.5%
Best pathmax
+4445.5%
Worst pathmin
-100.0%
VaR 95%5%
100.0%
CVaR 95%ES
100.0%
25¢50¢75¢100¢084168252336420504entry 2.2¢model q 3.0¢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 0.36% · ruin rate 0.0%400 paths × 120 bets · f deploy 0.50%
Sharpe / betμ/σ
0.108
μ 0.50% · σ 4.7%
Sortino / betμ/σ↓
1.007
downside-only denominator
VaR 95%5%
-0.5%
per-bet worst-case
CVaR 95%ES
-0.5%
mean tail loss
Max drawdownMDD
-11.8%
Calmar 0.03
Ruin rate≤50%
0.0%
P(equity ever ≤ 50%)
0.72×1.33×1.94×2.55×3.16×3.78×020406080100120startruin 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 -54.4pp · crowd gap -55.2pp
0%20%40%60%80%100%Reference base rate57.4%Market price2.2%Model P(YES)3.0%
Anchor gapmodel − base
-54.4 pp
Crowd gapprice − base
-55.2 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 20.2% · AUC 0.770out-of-sample BSS (5-fold) 20.3% ± 2.6% · Brier 0.1986 · log-loss 0.5909 · n 1600n = 1600
BrierBS
0.1986
lower = better · ō 0.47
BSSvs base
20.2%
improvement over base rate
ReliabilityREL
0.0061
miscalibration · want ↓
ResolutionRES
0.0557
decisiveness · want ↑
Log lossLL
0.5909
cross-entropy
AUCROC
0.770
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 = 0.770false positive ratetrue positive rate0.0000.0750.1490.2240.2990.249UNC0.056RES0.006REL0.199BRIERcontribution
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 1.40 · expectancy +0.171R180 trades · win 57.8% · Sharpe 0.150
Total P/Lnet
+$7,685
on $45,000 cycled
Win ratehit %
57.8%
104 W / 76 L
Profit factorPF
1.40
$ won / $ lost
Expectancyper trade
+$42.69
avg $ per position
R-expectancyper risk
+0.171R
in units of risk taken
Avg win / losspayoff
$256.58 / -$250.00
ratio 1.03 : 1
Sharpe / traderisk-adj
0.150
μR / σR
Closing line valueCLV
+2.18 pp
avg edge vs close
-$188$2,243$4,674$7,105$9,53703672108144180trade #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 · us-obtains-iranian-enriched-uranium-by-june-30 · fresh · feed 0s old
realized vol (ann.)
max drawdown
sharpe
ulcer index
RMS drawdown
pain index
mean drawdown
mod. VaR 95%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
cond. drawdown
gain/pain
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
upside/downside
roll spread
implied (price-only)
bars used
0
insufficient
spread
24h Δ
flow lean
carry
flat
signalNEUTRALconfidence 0%
  • insufficient history for risk metrics — directional read only
Same bundle via M2M API: /api/m2m/pm-us-obtains-iranian-enriched-uranium-by-june-30/bundle · venue execution: polymarket