NOSTRADAMUS · Position Analytics Engine

SIMULATOR Trump meets with Mojtaba Khamenei 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-trump-meets-with-mojtaba-khamenei-by-june-30 page.

▲ YES EDGE · +0.007 · f★ 0.7% · deploy 0.3% · net -0.07pp

§1 · Position economics

Payoff diagram · binary contract P/L vs resolution
YES · Expected P/L per share +0.0068@ model P(YES) = 0.021
-1.00-0.50+0.00+0.50+1.000.000.200.400.600.801.00price 0.015model 0.021YES 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★ = 0.69% · g(f★) = 0.143%deploy 0.35% · g = 0.111%
-2.43%-1.78%-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 @ 0.015 · EV +$41stake $87 · 0.35% of bankroll
Deployed stakestake
$87
0.35% of bankroll
Sharesunits
5,972
each pays $1 if YES
Max payoutwin
$5,972
gross, if win
Max profitwin
+$5,886
net of cost
Max losslose
-$87
binary settles to $0
Payout multiple×
×68.97
$1 → $68.97
Risk:RewardR:R
67.97 : 1
win $67.97 per $1
Expected P/LE[P/L]
+$41
probability-weighted
OutcomeP(model)P/LContribution
Resolves YES (win)2.1%+$5,886+$126
Resolves against (lose)97.9%-$87-$85
Expected value100.0%+$41
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 +0.7 pprelative edge +47.1%
Required win ratebreak-even
1.5%
price = implied probability
Model win rateP(win)
2.1%
what you forecast
Cushionedge
+0.7 pp
margin of safety
Fair pricemodel
0.021
where you think it should trade
-60-3003060020406080100you @ 1.5%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
1.5%
= price
Decimal oddsEU
68.966
total return per $1
AmericanUS
+6797
$100 wins $6797
FractionalUK
67.97 / 1
profit per $1 risked
Profit per $100stake
+$6796.55
clean dollar framing
-1000-5000+500+1000020406080100you · 1.5%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 818% · APY 81660%ROI 47.1% over 21d · 17.4 turns/yr
Time to resolvehorizon
21.0 d
504h capital lockup
Raw ROIper resolve
+47.1%
APR (simple)scaled
+818%
ROI × 365/days
APY (compounded)if redeployed
+81660%
(1+ROI)^(365/d) − 1
Daily expectedper day
+1.85%
geometric, per day held
Capital turns/yrvelocity
×17.4
how often this slot recycles
0%17965%35930%53896%71861%89826%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 110% · break-even w/ fees 2.2%
-0.2pp0.0pp0.3pp0.5pp0.7pp1.0pp+0.68Gross 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★
$173
0.69% · g = 0.143%
Half Kelly½ f★
$87
0.35% · g = 0.111%
Quarter Kelly¼ f★
$43
0.17% · g = 0.068%
Flat 1%1%
$250
1.00% · g = 0.122%
Flat 2%2%
$500
2.00% · g = -0.147%
Flat 5%5%
$1,250
5.00% · g = -1.861%
Recommended¼ f★
$43
survives model error
$0$369$738$1,106$1,475$173Full Kelly0.69%$87Half Kelly0.35%$43Quarter Kelly0.17%$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)
0.109 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.149 bit
Δ +0.040 bit vs market
Surprise · YES−log₂ p
6.11 bit
self-information
Surprise · NO−log₂(1−p)
0.02 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 (0.0021 bit)belief ≈ market — stand down
-0.009-0.0040.0010.0060.0110.0082YES branch-0.0068NO 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 0.021 · CI [0.00, 0.29] · κ 4.8
Posterior meanE[θ]
0.021
Beta(0.1, 4.7)
95% credible intervalHDI
[0.00, 0.29]
price INSIDE → weak edge
Concentrationκ
4.8
pseudo-obs behind belief
Disagreementvs crowd
+0.1 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] +3.4% · P(YES) 1.5% · VaR₉₅ 100.0%400 paths · 504 bars to resolution
Expected P/Lper $1
+3.45%
P(YES) empiricalq
1.5%
Best pathmax
+6796.6%
Worst pathmin
-100.0%
VaR 95%5%
100.0%
CVaR 95%ES
100.0%
25¢50¢75¢100¢084168252336420504entry 1.5¢model q 2.1¢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 0.74% · ruin rate 0.0%400 paths × 120 bets · f deploy 0.50%
Sharpe / betμ/σ
0.129
μ 0.87% · σ 6.7%
Sortino / betμ/σ↓
1.737
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 0.06
Ruin rate≤50%
0.0%
P(equity ever ≤ 50%)
0.67×2.23×3.79×5.34×6.90×8.46×020406080100120startruin 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 -55.2pp · crowd gap -55.9pp
0%20%40%60%80%100%Reference base rate57.3%Market price1.5%Model P(YES)2.1%
Anchor gapmodel − base
-55.2 pp
Crowd gapprice − base
-55.9 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 16.6% · AUC 0.750out-of-sample BSS (5-fold) 16.6% ± 0.9% · Brier 0.2086 · log-loss 0.6243 · n 1600n = 1600
BrierBS
0.2086
lower = better · ō 0.50
BSSvs base
16.6%
improvement over base rate
ReliabilityREL
0.0075
miscalibration · want ↓
ResolutionRES
0.0486
decisiveness · want ↑
Log lossLL
0.6243
cross-entropy
AUCROC
0.750
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 = 0.750false positive ratetrue positive rate0.0000.0750.1500.2250.3000.250UNC0.049RES0.008REL0.209BRIERcontribution
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 1.11 · expectancy +0.050R180 trades · win 55.0% · Sharpe 0.047
Total P/Lnet
+$2,270
on $45,000 cycled
Win ratehit %
55.0%
99 W / 81 L
Profit factorPF
1.11
$ won / $ lost
Expectancyper trade
+$12.61
avg $ per position
R-expectancyper risk
+0.050R
in units of risk taken
Avg win / losspayoff
$227.48 / -$250.00
ratio 0.91 : 1
Sharpe / traderisk-adj
0.047
μR / σR
Closing line valueCLV
+2.69 pp
avg edge vs close
-$2,658-$1,381-$103$1,175$2,45303672108144180trade #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 · trump-meets-with-mojtaba-khamenei-by-june-30 · fresh · feed 13s old
24h sparkline · 60 pts
realized vol (ann.)
10.89%
max drawdown
17.14%
sharpe
ulcer index
9.46%
RMS drawdown
pain index
5.62%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
17.14%
cond. drawdown
gain/pain
1.33
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
1.33
upside/downside
roll spread
0.7 bps
implied (price-only)
bars used
1997
store
spread
24h Δ
flow lean
carry
flat
signalNEUTRALconfidence 20%
Same bundle via M2M API: /api/m2m/pm-trump-meets-with-mojtaba-khamenei-by-june-30/bundle · venue execution: polymarket