NOSTRADAMUS · Position Analytics Engine
SIMULATOR Will Iran close its airspace by June 30?
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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/pm-will-iran-close-its-airspace-by-june-30-20260609184136054 page.
▲ YES EDGE · +0.059 · f★ 9.0% · deploy 4.5% · net 5.18pp
§1 · Position economics
YES · Expected P/L per share +0.0593@ model P(YES) = 0.404
P/L per sharemarket pricemodel Pprofit zoneloss zone
Profit is linear in the eventual settlement price.
f★ = 9.05% · g(f★) = 0.759%deploy 4.52% · g = 0.573%
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 @ 0.345 · EV +$194stake $1,131 · 4.52% of bankroll
Deployed stakestake
$1,131
4.52% of bankroll
Sharesunits
3,279
each pays $1 if YES
Max payoutwin
$3,279
gross, if win
Max profitwin
+$2,148
net of cost
Max losslose
-$1,131
binary settles to $0
Payout multiple×
×2.90
$1 → $2.90
Risk:RewardR:R
1.90 : 1
win $1.90 per $1
Expected P/LE[P/L]
+$194
probability-weighted
| Outcome | P(model) | P/L | Contribution |
|---|---|---|---|
| Resolves YES (win) | 40.4% | +$2,148 | +$868 |
| Resolves against (lose) | 59.6% | -$1,131 | -$674 |
| Expected value | 100.0% | — | +$194 |
What you actually win and lose. The bottom table tabulates probability-weighted P/L by outcome.
§3 · Break-even & cushion
Cushion +5.9 pprelative edge +17.2%
Required win ratebreak-even
34.5%
price = implied probability
Model win rateP(win)
40.4%
what you forecast
Cushionedge
+5.9 pp
margin of safety
Fair pricemodel
0.404
where you think it should trade
The market price equals the win rate you must beat to make money.
§4 · Odds conversion
Implied probabilityP
34.5%
= price
Decimal oddsEU
2.899
total return per $1
AmericanUS
+190
$100 wins $190
FractionalUK
1.90 / 1
profit per $1 risked
Profit per $100stake
+$189.86
clean dollar framing
underdog (+)favorite (-)your price
Five views of the same number.
§4b · Time & annualized return
APR 299% · APY 1473%ROI 17.2% over 21d · 17.4 turns/yr
Time to resolvehorizon
21.0 d
504h capital lockup
Raw ROIper resolve
+17.2%
APR (simple)scaled
+299%
ROI × 365/days
APY (compounded)if redeployed
+1473%
(1+ROI)^(365/d) − 1
Daily expectedper day
+0.76%
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 +5.18 pperosion 13% · break-even w/ fees 35.3%
gross edgefrictionnet edgefee 0 bps · spread 1.50¢
The number that decides whether to trade.
§6 · Sizing menu
Full Kellyf★
$2,262
9.05% · g = 0.759%
Half Kelly½ f★
$1,131
4.52% · g = 0.573%
Quarter Kelly¼ f★
$566
2.26% · g = 0.337%
Flat 1%1%
$250
1.00% · g = 0.162%
Flat 2%2%
$500
2.00% · g = 0.303%
Flat 5%5%
$1,250
5.00% · g = 0.611%
Recommended¼ f★
$566
survives model error
Quarter-Kelly is the industry default — survives model error far better than full Kelly.
§7 · Information theory
Market entropyH(p)
0.930 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.973 bit
Δ +0.044 bit vs market
Surprise · YES−log₂ p
1.54 bit
self-information
Surprise · NO−log₂(1−p)
0.61 bit
self-information
H(p) peaks at p = 0.5 (one bit of irreducible doubt).
NOISE · D_KL(q ‖ p) = 0.0076 nat (0.0110 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 0.404 · CI [0.29, 0.52] · κ 65.9
Posterior meanE[θ]
0.404
Beta(26.6, 39.3)
95% credible intervalHDI
[0.29, 0.52]
price INSIDE → weak edge
Concentrationκ
65.9
pseudo-obs behind belief
Disagreementvs crowd
+5.9 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] +8.0% · P(YES) 37.3% · VaR₉₅ 100.0%400 paths · 504 bars to resolution
Expected P/Lper $1
+7.97%
P(YES) empiricalq
37.3%
Best pathmax
+189.9%
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 0.52% · ruin rate 6.5%400 paths × 120 bets · f deploy 4.52%
Sharpe / betμ/σ
0.114
μ 0.73% · σ 6.4%
Sortino / betμ/σ↓
0.161
downside-only denominator
VaR 95%5%
-4.5%
per-bet worst-case
CVaR 95%ES
-4.5%
mean tail loss
Max drawdownMDD
-9.8%
Calmar 0.05
Ruin rate≤50%
6.5%
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 -1.1pp · crowd gap -7.0pp
Anchor gapmodel − base
-1.1 pp
Crowd gapprice − base
-7.0 pp
Verdictdiscipline
ANCHORED
Reference-class anchoring prevents narrative-driven blowups.
§11 · Forecast quality (synthetic ledger)
SKILL POSITIVE · in-sample BSS 20.7% · AUC 0.770out-of-sample BSS (5-fold) 20.8% ± 3.7% · Brier 0.1982 · log-loss 0.5921 · n 1600✓ n = 1600
BrierBS
0.1982
lower = better · ō 0.51
BSSvs base
20.7%
improvement over base rate
ReliabilityREL
0.0043
miscalibration · want ↓
ResolutionRES
0.0562
decisiveness · want ↑
Log lossLL
0.5921
cross-entropy
AUCROC
0.770
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 1.10 · expectancy +0.045R180 trades · win 53.3% · Sharpe 0.041
Total P/Lnet
+$2,010
on $45,000 cycled
Win ratehit %
53.3%
96 W / 84 L
Profit factorPF
1.10
$ won / $ lost
Expectancyper trade
+$11.17
avg $ per position
R-expectancyper risk
+0.045R
in units of risk taken
Avg win / losspayoff
$239.69 / -$250.00
ratio 0.96 : 1
Sharpe / traderisk-adj
0.041
μR / σR
Closing line valueCLV
+2.44 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.