NOSTRADAMUS · Position Analytics Engine

SIMULATOR Will Jalen Brunson win the 2028 US Presidential Election?

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-jalen-brunson-win-the-2028-us-presidential-election page.

▲ YES EDGE · +0.014 · f★ 1.4% · deploy 0.7% · net 0.60pp

§1 · Position economics

Payoff diagram · binary contract P/L vs resolution
YES · Expected P/L per share +0.0135@ model P(YES) = 0.020
-1.00-0.50+0.00+0.50+1.000.000.200.400.600.801.00price 0.006model 0.020YES 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★ = 1.36% · g(f★) = 0.907%deploy 0.68% · g = 0.756%
-4.72%-3.28%-1.84%-0.40%1.04%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 @ 0.006 · EV +$353stake $170 · 0.68% of bankroll
Deployed stakestake
$170
0.68% of bankroll
Sharesunits
26,131
each pays $1 if YES
Max payoutwin
$26,131
gross, if win
Max profitwin
+$25,962
net of cost
Max losslose
-$170
binary settles to $0
Payout multiple×
×153.85
$1 → $153.85
Risk:RewardR:R
152.85 : 1
win $152.85 per $1
Expected P/LE[P/L]
+$353
probability-weighted
OutcomeP(model)P/LContribution
Resolves YES (win)2.0%+$25,962+$519
Resolves against (lose)98.0%-$170-$166
Expected value100.0%+$353
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 +1.4 pprelative edge +207.7%
Required win ratebreak-even
0.7%
price = implied probability
Model win rateP(win)
2.0%
what you forecast
Cushionedge
+1.4 pp
margin of safety
Fair pricemodel
0.020
where you think it should trade
-60-3003060020406080100you @ 0.7%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
0.7%
= price
Decimal oddsEU
153.846
total return per $1
AmericanUS
+15285
$100 wins $15285
FractionalUK
152.85 / 1
profit per $1 risked
Profit per $100stake
+$15284.62
clean dollar framing
-1000-5000+500+1000020406080100you · 0.7%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 3610% · APY 30474182057%ROI 207.7% over 21d · 17.4 turns/yr
Time to resolvehorizon
21.0 d
504h capital lockup
Raw ROIper resolve
+207.7%
APR (simple)scaled
+3610%
ROI × 365/days
APY (compounded)if redeployed
+30474182057%
(1+ROI)^(365/d) − 1
Daily expectedper day
+5.50%
geometric, per day held
Capital turns/yrvelocity
×17.4
how often this slot recycles
0%6704320052%13408640105%20112960157%26817280210%33521600262%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 +0.60 pperosion 56% · break-even w/ fees 1.4%
-0.1pp0.3pp0.7pp1.0pp1.4pp1.8pp+1.35Gross edge-0.75- ½ spread+0.00- entry fee+0.00- exit fee+0.60Net 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★
$340
1.36% · g = 0.907%
Half Kelly½ f★
$170
0.68% · g = 0.756%
Quarter Kelly¼ f★
$85
0.34% · g = 0.503%
Flat 1%1%
$250
1.00% · g = 0.870%
Flat 2%2%
$500
2.00% · g = 0.821%
Flat 5%5%
$1,250
5.00% · g = -0.713%
Recommended¼ f★
$85
survives model error
$0$369$738$1,106$1,475$340Full Kelly1.36%$170Half Kelly0.68%$85Quarter Kelly0.34%$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)
0.057 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.141 bit
Δ +0.085 bit vs market
Surprise · YES−log₂ p
7.27 bit
self-information
Surprise · NO−log₂(1−p)
0.01 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) = 0.0091 nat (0.0131 bit)belief ≈ market — stand down
-0.017-0.0060.0060.0180.0290.0225YES branch-0.0134NO branchΣKL = 0.0091 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 0.020 · CI [0.00, 0.30] · κ 4.4
Posterior meanE[θ]
0.020
Beta(0.1, 4.4)
95% credible intervalHDI
[0.00, 0.30]
price INSIDE → weak edge
Concentrationκ
4.4
pseudo-obs behind belief
Disagreementvs crowd
+0.0 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] +92.3% · P(YES) 1.3% · VaR₉₅ 100.0%400 paths · 504 bars to resolution
Expected P/Lper $1
+92.31%
P(YES) empiricalq
1.3%
Best pathmax
+15284.6%
Worst pathmin
-100.0%
VaR 95%5%
100.0%
CVaR 95%ES
100.0%
25¢50¢75¢100¢084168252336420504entry 0.7¢model q 2.0¢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 1.73% · ruin rate 1.5%400 paths × 120 bets · f deploy 0.68%
Sharpe / betμ/σ
0.167
μ 3.38% · σ 20.2%
Sortino / betμ/σ↓
4.974
downside-only denominator
VaR 95%5%
-0.7%
per-bet worst-case
CVaR 95%ES
-0.7%
mean tail loss
Max drawdownMDD
-15.7%
Calmar 0.11
Ruin rate≤50%
1.5%
P(equity ever ≤ 50%)
0.57×31.69×62.81×93.93×125.05×156.18×020406080100120startruin 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 -55.7pp · crowd gap -57.0pp
0%20%40%60%80%100%Reference base rate57.7%Market price0.7%Model P(YES)2.0%
Anchor gapmodel − base
-55.7 pp
Crowd gapprice − base
-57.0 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 20.9% · AUC 0.772out-of-sample BSS (5-fold) 21.0% ± 2.6% · Brier 0.1976 · log-loss 0.5886 · n 1600n = 1600
BrierBS
0.1976
lower = better · ō 0.49
BSSvs base
20.9%
improvement over base rate
ReliabilityREL
0.0048
miscalibration · want ↓
ResolutionRES
0.0555
decisiveness · want ↑
Log lossLL
0.5886
cross-entropy
AUCROC
0.772
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 = 0.772false positive ratetrue positive rate0.0000.0750.1500.2250.3000.250UNC0.056RES0.005REL0.198BRIERcontribution
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
BLEEDING · PF 0.91 · expectancy -0.049R180 trades · win 47.2% · Sharpe -0.046
Total P/Lnet
-$2,222
on $45,000 cycled
Win ratehit %
47.2%
85 W / 95 L
Profit factorPF
0.91
$ won / $ lost
Expectancyper trade
-$12.35
avg $ per position
R-expectancyper risk
-0.049R
in units of risk taken
Avg win / losspayoff
$253.27 / -$250.00
ratio 1.01 : 1
Sharpe / traderisk-adj
-0.046
μR / σR
Closing line valueCLV
+2.92 pp
avg edge vs close
-$4,366-$2,923-$1,480-$37$1,40703672108144180trade #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-jalen-brunson-win-the-2028-us-presidential-election · fresh · feed 0s old
24h sparkline · 60 pts
realized vol (ann.)
0.00%
max drawdown
0.00%
sharpe
ulcer index
0.00%
RMS drawdown
pain index
0.00%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
0.00%
cond. drawdown
gain/pain
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
1.00
upside/downside
roll spread
0.0 bps
implied (price-only)
bars used
156
store
spread
24h Δ
flow lean
carry
flat
signalNEUTRALconfidence 20%
Same bundle via M2M API: /api/m2m/pm-will-jalen-brunson-win-the-2028-us-presidential-election/bundle · venue execution: polymarket