NOSTRADAMUS · Position Analytics Engine
SIMULATOR Will Benjamin Netanyahu sign a U.S. x Iran deal by July 31?
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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-benjamin-netanyahu-sign-a-uptspt-x-iran-deal-by-july-31-20260611235950076 page.
▲ YES EDGE · +0.052 · f★ 5.8% · deploy 2.9% · net 4.49pp
§1 · Position economics
YES · Expected P/L per share +0.0524@ model P(YES) = 0.152
P/L per sharemarket pricemodel Pprofit zoneloss zone
Profit is linear in the eventual settlement price.
f★ = 5.82% · g(f★) = 1.342%deploy 2.91% · g = 1.046%
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 @ 0.100 · EV +$383stake $727 · 2.91% of bankroll
Deployed stakestake
$727
2.91% of bankroll
Sharesunits
7,310
each pays $1 if YES
Max payoutwin
$7,310
gross, if win
Max profitwin
+$6,583
net of cost
Max losslose
-$727
binary settles to $0
Payout multiple×
×10.05
$1 → $10.05
Risk:RewardR:R
9.05 : 1
win $9.05 per $1
Expected P/LE[P/L]
+$383
probability-weighted
| Outcome | P(model) | P/L | Contribution |
|---|---|---|---|
| Resolves YES (win) | 15.2% | +$6,583 | +$1,000 |
| Resolves against (lose) | 84.8% | -$727 | -$617 |
| Expected value | 100.0% | — | +$383 |
What you actually win and lose. The bottom table tabulates probability-weighted P/L by outcome.
§3 · Break-even & cushion
Cushion +5.2 pprelative edge +52.7%
Required win ratebreak-even
10.0%
price = implied probability
Model win rateP(win)
15.2%
what you forecast
Cushionedge
+5.2 pp
margin of safety
Fair pricemodel
0.152
where you think it should trade
The market price equals the win rate you must beat to make money.
§4 · Odds conversion
Implied probabilityP
10.0%
= price
Decimal oddsEU
10.050
total return per $1
AmericanUS
+905
$100 wins $905
FractionalUK
9.05 / 1
profit per $1 risked
Profit per $100stake
+$905.03
clean dollar framing
underdog (+)favorite (-)your price
Five views of the same number.
§4b · Time & annualized return
APR 915% · APY 156042%ROI 52.7% over 21d · 17.4 turns/yr
Time to resolvehorizon
21.0 d
504h capital lockup
Raw ROIper resolve
+52.7%
APR (simple)scaled
+915%
ROI × 365/days
APY (compounded)if redeployed
+156042%
(1+ROI)^(365/d) − 1
Daily expectedper day
+2.04%
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 +4.49 pperosion 14% · break-even w/ fees 10.7%
gross edgefrictionnet edgefee 0 bps · spread 1.50¢
The number that decides whether to trade.
§6 · Sizing menu
Full Kellyf★
$1,455
5.82% · g = 1.342%
Half Kelly½ f★
$727
2.91% · g = 1.046%
Quarter Kelly¼ f★
$364
1.45% · g = 0.636%
Flat 1%1%
$250
1.00% · g = 0.464%
Flat 2%2%
$500
2.00% · g = 0.814%
Flat 5%5%
$1,250
5.00% · g = 1.320%
Recommended¼ f★
$364
survives model error
Quarter-Kelly is the industry default — survives model error far better than full Kelly.
§7 · Information theory
Market entropyH(p)
0.467 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.615 bit
Δ +0.147 bit vs market
Surprise · YES−log₂ p
3.33 bit
self-information
Surprise · NO−log₂(1−p)
0.15 bit
self-information
H(p) peaks at p = 0.5 (one bit of irreducible doubt).
NOISE · D_KL(q ‖ p) = 0.0134 nat (0.0194 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 0.152 · CI [0.05, 0.29] · κ 34.8
Posterior meanE[θ]
0.152
Beta(5.3, 29.5)
95% credible intervalHDI
[0.05, 0.29]
price INSIDE → weak edge
Concentrationκ
34.8
pseudo-obs behind belief
Disagreementvs crowd
+5.2 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] +93.5% · P(YES) 19.3% · VaR₉₅ 100.0%400 paths · 504 bars to resolution
Expected P/Lper $1
+93.47%
P(YES) empiricalq
19.3%
Best pathmax
+905.0%
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 1.00% · ruin rate 11.8%400 paths × 120 bets · f deploy 2.91%
Sharpe / betμ/σ
0.143
μ 1.49% · σ 10.5%
Sortino / betμ/σ↓
0.512
downside-only denominator
VaR 95%5%
-2.9%
per-bet worst-case
CVaR 95%ES
-2.9%
mean tail loss
Max drawdownMDD
-18.7%
Calmar 0.05
Ruin rate≤50%
11.8%
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 -32.9pp · crowd gap -38.1pp
Anchor gapmodel − base
-32.9 pp
Crowd gapprice − base
-38.1 pp
Verdictdiscipline
ANCHORED
Reference-class anchoring prevents narrative-driven blowups.
§11 · Forecast quality (synthetic ledger)
SKILL POSITIVE · in-sample BSS 19.4% · AUC 0.763out-of-sample BSS (5-fold) 19.5% ± 2.3% · Brier 0.2014 · log-loss 0.6023 · n 1600✓ n = 1600
BrierBS
0.2014
lower = better · ō 0.51
BSSvs base
19.4%
improvement over base rate
ReliabilityREL
0.0049
miscalibration · want ↓
ResolutionRES
0.0522
decisiveness · want ↑
Log lossLL
0.6023
cross-entropy
AUCROC
0.763
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 1.05 · expectancy +0.026R180 trades · win 51.1% · Sharpe 0.023
Total P/Lnet
+$1,181
on $45,000 cycled
Win ratehit %
51.1%
92 W / 88 L
Profit factorPF
1.05
$ won / $ lost
Expectancyper trade
+$6.56
avg $ per position
R-expectancyper risk
+0.026R
in units of risk taken
Avg win / losspayoff
$251.96 / -$250.00
ratio 1.01 : 1
Sharpe / traderisk-adj
0.023
μR / σR
Closing line valueCLV
+3.02 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.