NOSTRADAMUS · Position Analytics Engine

SIMULATOR Will Hunter Biden win the 2028 Democratic 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-person-a-win-the-2028-democratic-presidential-nomination page.

▲ YES EDGE · +0.052 · f★ 5.3% · deploy 2.7% · net 4.49pp

§1 · Position economics

Payoff diagram · binary contract P/L vs resolution
YES · Expected P/L per share +0.0524@ model P(YES) = 0.070
-1.00-0.50+0.00+0.50+1.000.000.200.400.600.801.00price 0.018model 0.070YES 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★ = 5.33% · g(f★) = 4.582%deploy 2.67% · g = 3.882%
-15.75%-10.49%-5.24%0.02%5.27%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 @ 0.018 · EV +$1,996stake $667 · 2.67% of bankroll
Deployed stakestake
$667
2.67% of bankroll
Sharesunits
38,092
each pays $1 if YES
Max payoutwin
$38,092
gross, if win
Max profitwin
+$37,426
net of cost
Max losslose
-$667
binary settles to $0
Payout multiple×
×57.14
$1 → $57.14
Risk:RewardR:R
56.14 : 1
win $56.14 per $1
Expected P/LE[P/L]
+$1,996
probability-weighted
OutcomeP(model)P/LContribution
Resolves YES (win)7.0%+$37,426+$2,616
Resolves against (lose)93.0%-$667-$620
Expected value100.0%+$1,996
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 +5.2 pprelative edge +299.4%
Required win ratebreak-even
1.8%
price = implied probability
Model win rateP(win)
7.0%
what you forecast
Cushionedge
+5.2 pp
margin of safety
Fair pricemodel
0.070
where you think it should trade
-60-3003060020406080100you @ 1.8%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
1.8%
= price
Decimal oddsEU
57.143
total return per $1
AmericanUS
+5614
$100 wins $5614
FractionalUK
56.14 / 1
profit per $1 risked
Profit per $100stake
+$5614.29
clean dollar framing
-1000-5000+500+1000020406080100you · 1.8%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 5204% · APY 2838814530027%ROI 299.4% over 21d · 17.4 turns/yr
Time to resolvehorizon
21.0 d
504h capital lockup
Raw ROIper resolve
+299.4%
APR (simple)scaled
+5204%
ROI × 365/days
APY (compounded)if redeployed
+2838814530027%
(1+ROI)^(365/d) − 1
Daily expectedper day
+6.82%
geometric, per day held
Capital turns/yrvelocity
×17.4
how often this slot recycles
0%624539196606%1249078393212%1873617589818%2498156786424%3122695983030%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 +4.49 pperosion 14% · break-even w/ fees 2.5%
-0.1pp1.2pp2.6pp3.9pp5.3pp6.6pp+5.24Gross edge-0.75- ½ spread+0.00- entry fee+0.00- exit fee+4.49Net 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★
$1,333
5.33% · g = 4.582%
Half Kelly½ f★
$667
2.67% · g = 3.882%
Quarter Kelly¼ f★
$333
1.33% · g = 2.657%
Flat 1%1%
$250
1.00% · g = 2.180%
Flat 2%2%
$500
2.00% · g = 3.382%
Flat 5%5%
$1,250
5.00% · g = 4.573%
Recommended¼ f★
$333
survives model error
$0$393$787$1,180$1,573$1,333Full Kelly5.33%$667Half Kelly2.67%$333Quarter Kelly1.33%$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)
0.127 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.366 bit
Δ +0.238 bit vs market
Surprise · YES−log₂ p
5.84 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
SIGNAL · D_KL(q ‖ p) = 0.0458 nat (0.0661 bit)exploitable edge present
-0.062-0.0150.0320.0790.1260.0968YES branch-0.0510NO branchΣKL = 0.0458 natKL contribution (nat)
YES contributionNO contributionbelief ‖ marketsignal
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 0.070 · CI [0.00, 0.23] · κ 17.1
Posterior meanE[θ]
0.070
Beta(1.2, 15.9)
95% credible intervalHDI
[0.00, 0.23]
price INSIDE → weak edge
Concentrationκ
17.1
pseudo-obs behind belief
Disagreementvs crowd
+5.0 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] +300.0% · P(YES) 7.0% · VaR₉₅ 100.0%400 paths · 504 bars to resolution
Expected P/Lper $1
+300.00%
P(YES) empiricalq
7.0%
Best pathmax
+5614.3%
Worst pathmin
-100.0%
VaR 95%5%
100.0%
CVaR 95%ES
100.0%
25¢50¢75¢100¢084168252336420504entry 1.8¢model q 7.0¢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 4.46% · ruin rate 17.5%400 paths × 120 bets · f deploy 2.67%
Sharpe / betμ/σ
0.221
μ 8.94% · σ 40.4%
Sortino / betμ/σ↓
3.352
downside-only denominator
VaR 95%5%
-2.7%
per-bet worst-case
CVaR 95%ES
-2.7%
mean tail loss
Max drawdownMDD
-33.3%
Calmar 0.13
Ruin rate≤50%
17.5%
P(equity ever ≤ 50%)
0.38×5592.78×11185.19×16777.59×22370.00×27962.40×020406080100120startruin 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 -50.8pp · crowd gap -56.1pp
0%20%40%60%80%100%Reference base rate57.8%Market price1.8%Model P(YES)7.0%
Anchor gapmodel − base
-50.8 pp
Crowd gapprice − base
-56.1 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 20.8% · AUC 0.773out-of-sample BSS (5-fold) 20.9% ± 1.0% · Brier 0.1976 · log-loss 0.5987 · n 1600n = 1600
BrierBS
0.1976
lower = better · ō 0.52
BSSvs base
20.8%
improvement over base rate
ReliabilityREL
0.0054
miscalibration · want ↓
ResolutionRES
0.0569
decisiveness · want ↑
Log lossLL
0.5987
cross-entropy
AUCROC
0.773
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 = 0.773false positive ratetrue positive rate0.0000.0750.1500.2240.2990.249UNC0.057RES0.005REL0.198BRIERcontribution
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 0.87 · expectancy -0.068R180 trades · win 48.3% · Sharpe -0.062
Total P/Lnet
-$3,051
on $45,000 cycled
Win ratehit %
48.3%
87 W / 93 L
Profit factorPF
0.87
$ won / $ lost
Expectancyper trade
-$16.95
avg $ per position
R-expectancyper risk
-0.068R
in units of risk taken
Avg win / losspayoff
$232.17 / -$250.00
ratio 0.93 : 1
Sharpe / traderisk-adj
-0.062
μR / σR
Closing line valueCLV
+2.99 pp
avg edge vs close
-$5,539-$4,171-$2,804-$1,436-$6803672108144180trade #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-person-a-win-the-2028-democratic-presidential-nomination · fresh · feed 0s old
24h sparkline · 60 pts 105.88%
realized vol (ann.)
5.13%
max drawdown
5.41%
sharpe
ulcer index
2.78%
RMS drawdown
pain index
1.56%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
5.41%
cond. drawdown
gain/pain
2.00
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
2.00
upside/downside
roll spread
0.6 bps
implied (price-only)
bars used
2000
store
spread
24h Δ
105.88%
flow lean
carry
flat
signalNEUTRALconfidence 25%
  • 24h change +105.88%
Same bundle via M2M API: /api/m2m/pm-will-person-a-win-the-2028-democratic-presidential-nomination/bundle · venue execution: polymarket