NOSTRADAMUS · Position Analytics Engine

SIMULATOR Will Donald Trump Jr. win the 2028 Republican presidential nomination?

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-donald-trump-jr-win-the-2028-republican-presidential-nomination page.

▼ NO EDGE YES · DO NOT TRADE

§1 · Position economics

Payoff diagram · binary contract P/L vs resolution
YES · Expected P/L per share -0.0027@ model P(YES) = 0.021
-1.00-0.50+0.00+0.50+1.000.000.200.400.600.801.00price 0.024model 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★ = 0.00% · g(f★) = 0.000%deploy 0.00% · g = 0.000%
-2.00%-1.50%-1.00%-0.49%0.01%0%8%16%24%32%40%fraction 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 @ 0.024 · EV +$0stake $0 · 0.00% of bankroll
Deployed stakestake
$0
0.00% of bankroll
Sharesunits
0
each pays $1 if YES
Max payoutwin
$0
gross, if win
Max profitwin
+$0
net of cost
Max losslose
-$0
binary settles to $0
Payout multiple×
×42.55
$1 → $42.55
Risk:RewardR:R
41.55 : 1
win $41.55 per $1
Expected P/LE[P/L]
+$0
probability-weighted
OutcomeP(model)P/LContribution
Resolves YES (win)2.1%+$0+$0
Resolves against (lose)97.9%-$0-$0
Expected value100.0%+$0
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 -0.3 pprelative edge -11.5%
Required win ratebreak-even
2.4%
price = implied probability
Model win rateP(win)
2.1%
what you forecast
Cushionedge
-0.3 pp
margin of safety
Fair pricemodel
0.021
where you think it should trade
-60-3003060020406080100you @ 2.4%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
2.4%
= price
Decimal oddsEU
42.553
total return per $1
AmericanUS
+4155
$100 wins $4155
FractionalUK
41.55 / 1
profit per $1 risked
Profit per $100stake
+$4155.32
clean dollar framing
-1000-5000+500+1000020406080100you · 2.4%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 -200% · APY -88%ROI -11.5% over 21d · 17.4 turns/yr
Time to resolvehorizon
21.0 d
504h capital lockup
Raw ROIper resolve
-11.5%
APR (simple)scaled
-200%
ROI × 365/days
APY (compounded)if redeployed
-88%
(1+ROI)^(365/d) − 1
Daily expectedper day
-0.58%
geometric, per day held
Capital turns/yrvelocity
×17.4
how often this slot recycles
-110%132%374%616%858%1100%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 -1.02 pperosion 0% · break-even w/ fees 3.1%
-1.4pp-1.1pp-0.8pp-0.5pp-0.2pp0.1pp-0.27Gross edge-0.75- ½ spread+0.00- entry fee+0.00- exit fee-1.02Net 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★
$0
0.00% · g = 0.000%
Half Kelly½ f★
$0
0.00% · g = 0.000%
Quarter Kelly¼ f★
$0
0.00% · g = 0.000%
Flat 1%1%
$250
1.00% · g = -0.261%
Flat 2%2%
$500
2.00% · g = -0.720%
Flat 5%5%
$1,250
5.00% · g = -2.685%
Recommended¼ f★
$0
survives model error
$0$369$738$1,106$1,475$0Full Kelly0.00%$0Half Kelly0.00%$0Quarter Kelly0.00%$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)
0.161 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.146 bit
Δ -0.015 bit vs market
Surprise · YES−log₂ p
5.41 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) = 0.0002 nat (0.0002 bit)belief ≈ market — stand down
-0.004-0.002-0.0000.0020.004-0.0025YES branch0.0027NO branchΣKL = 0.0002 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 4.7
Posterior meanE[θ]
0.021
Beta(0.1, 4.6)
95% credible intervalHDI
[0.00, 0.29]
price INSIDE → weak edge
Concentrationκ
4.7
pseudo-obs behind belief
Disagreementvs crowd
-0.3 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] -25.5% · P(YES) 1.8% · VaR₉₅ 100.0%400 paths · 504 bars to resolution
Expected P/Lper $1
-25.53%
P(YES) empiricalq
1.8%
Best pathmax
+4155.3%
Worst pathmin
-100.0%
VaR 95%5%
100.0%
CVaR 95%ES
100.0%
25¢50¢75¢100¢084168252336420504entry 2.4¢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 0.31% · ruin rate 0.0%400 paths × 120 bets · f deploy 0.50%
Sharpe / betμ/σ
0.089
μ 0.38% · σ 4.2%
Sortino / betμ/σ↓
0.751
downside-only denominator
VaR 95%5%
-0.5%
per-bet worst-case
CVaR 95%ES
-0.5%
mean tail loss
Max drawdownMDD
-11.3%
Calmar 0.03
Ruin rate≤50%
0.0%
P(equity ever ≤ 50%)
0.66×1.18×1.71×2.24×2.76×3.29×020406080100120startruin 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 -55.4pp · crowd gap -55.1pp
0%20%40%60%80%100%Reference base rate57.5%Market price2.4%Model P(YES)2.1%
Anchor gapmodel − base
-55.4 pp
Crowd gapprice − base
-55.1 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 20.4% · AUC 0.769out-of-sample BSS (5-fold) 20.4% ± 1.6% · Brier 0.1983 · log-loss 0.5982 · n 1600n = 1600
BrierBS
0.1983
lower = better · ō 0.47
BSSvs base
20.4%
improvement over base rate
ReliabilityREL
0.0047
miscalibration · want ↓
ResolutionRES
0.0545
decisiveness · want ↑
Log lossLL
0.5982
cross-entropy
AUCROC
0.769
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 = 0.769false positive ratetrue positive rate0.0000.0750.1490.2240.2990.249UNC0.054RES0.005REL0.198BRIERcontribution
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 1.18 · expectancy +0.083R180 trades · win 53.3% · Sharpe 0.073
Total P/Lnet
+$3,747
on $45,000 cycled
Win ratehit %
53.3%
96 W / 84 L
Profit factorPF
1.18
$ won / $ lost
Expectancyper trade
+$20.82
avg $ per position
R-expectancyper risk
+0.083R
in units of risk taken
Avg win / losspayoff
$257.78 / -$250.00
ratio 1.03 : 1
Sharpe / traderisk-adj
0.073
μR / σR
Closing line valueCLV
+2.88 pp
avg edge vs close
-$760$1,082$2,925$4,767$6,61003672108144180trade #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-donald-trump-jr-win-the-2028-republican-presidential-nomination · 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-will-donald-trump-jr-win-the-2028-republican-presidential-nomination/bundle · venue execution: polymarket