NOSTRADAMUS · Position Analytics Engine

SIMULATOR Will Keir Starmer be the next leader out before 2027?

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-keir-starmer-be-the-next-leader-out-before-2027-565 page.

▲ YES EDGE · +0.016 · f★ 5.2% · deploy 2.6% · net 0.90pp

§1 · Position economics

Payoff diagram · binary contract P/L vs resolution
YES · Expected P/L per share +0.0165@ model P(YES) = 0.701
-1.00-0.50+0.00+0.50+1.000.000.200.400.600.801.00price 0.685model 0.701YES 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★ = 5.24% · g(f★) = 0.064%deploy 2.62% · g = 0.048%
-2.19%-1.62%-1.06%-0.49%0.07%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 @ 0.685 · EV +$16stake $655 · 2.62% of bankroll
Deployed stakestake
$655
2.62% of bankroll
Sharesunits
955
each pays $1 if YES
Max payoutwin
$955
gross, if win
Max profitwin
+$301
net of cost
Max losslose
-$655
binary settles to $0
Payout multiple×
×1.46
$1 → $1.46
Risk:RewardR:R
0.46 : 1
win $0.46 per $1
Expected P/LE[P/L]
+$16
probability-weighted
OutcomeP(model)P/LContribution
Resolves YES (win)70.1%+$301+$211
Resolves against (lose)29.9%-$655-$195
Expected value100.0%+$16
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 +1.6 pprelative edge +2.4%
Required win ratebreak-even
68.5%
price = implied probability
Model win rateP(win)
70.1%
what you forecast
Cushionedge
+1.6 pp
margin of safety
Fair pricemodel
0.701
where you think it should trade
-60-3003060020406080100you @ 68.5%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
68.5%
= price
Decimal oddsEU
1.460
total return per $1
AmericanUS
-217
risk $217 to win $100
FractionalUK
0.46 / 1
profit per $1 risked
Profit per $100stake
+$45.99
clean dollar framing
-1000-5000+500+1000020406080100you · 68.5%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 42% · APY 51%ROI 2.4% over 21d · 17.4 turns/yr
Time to resolvehorizon
21.0 d
504h capital lockup
Raw ROIper resolve
+2.4%
APR (simple)scaled
+42%
ROI × 365/days
APY (compounded)if redeployed
+51%
(1+ROI)^(365/d) − 1
Daily expectedper day
+0.11%
geometric, per day held
Capital turns/yrvelocity
×17.4
how often this slot recycles
0%193%387%580%773%967%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 +0.90 pperosion 45% · break-even w/ fees 69.3%
-0.1pp0.4pp0.8pp1.3pp1.7pp2.2pp+1.65Gross edge-0.75- ½ spread+0.00- entry fee+0.00- exit fee+0.90Net 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★
$1,309
5.24% · g = 0.064%
Half Kelly½ f★
$655
2.62% · g = 0.048%
Quarter Kelly¼ f★
$327
1.31% · g = 0.028%
Flat 1%1%
$250
1.00% · g = 0.022%
Flat 2%2%
$500
2.00% · g = 0.039%
Flat 5%5%
$1,250
5.00% · g = 0.064%
Recommended¼ f★
$327
survives model error
$0$386$772$1,158$1,545$1,309Full Kelly5.24%$655Half Kelly2.62%$327Quarter Kelly1.31%$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)
0.899 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.879 bit
Δ -0.019 bit vs market
Surprise · YES−log₂ p
0.55 bit
self-information
Surprise · NO−log₂(1−p)
1.67 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) = 0.0006 nat (0.0009 bit)belief ≈ market — stand down
-0.020-0.0100.0010.0110.0220.0167YES branch-0.0161NO branchΣKL = 0.0006 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 0.701 · CI [0.58, 0.81] · κ 57.2
Posterior meanE[θ]
0.701
Beta(40.1, 17.1)
95% credible intervalHDI
[0.58, 0.81]
price INSIDE → weak edge
Concentrationκ
57.2
pseudo-obs behind belief
Disagreementvs crowd
+1.6 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] -1.1% · P(YES) 67.8% · VaR₉₅ 100.0%400 paths · 504 bars to resolution
Expected P/Lper $1
-1.09%
P(YES) empiricalq
67.8%
Best pathmax
+46.0%
Worst pathmin
-100.0%
VaR 95%5%
100.0%
CVaR 95%ES
100.0%
25¢50¢75¢100¢084168252336420504entry 68.5¢model q 70.1¢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 0.04% · ruin rate 0.0%400 paths × 120 bets · f deploy 2.62%
Sharpe / betμ/σ
0.033
μ 0.06% · σ 1.8%
Sortino / betμ/σ↓
0.022
downside-only denominator
VaR 95%5%
-2.6%
per-bet worst-case
CVaR 95%ES
-2.6%
mean tail loss
Max drawdownMDD
-4.3%
Calmar 0.01
Ruin rate≤50%
0.0%
P(equity ever ≤ 50%)
0.72×0.88×1.05×1.22×1.38×1.55×020406080100120startruin 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 +13.6pp · crowd gap +12.0pp
0%20%40%60%80%100%Reference base rate56.5%Market price68.5%Model P(YES)70.1%
Anchor gapmodel − base
+13.6 pp
Crowd gapprice − base
+12.0 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 20.3% · AUC 0.767out-of-sample BSS (5-fold) 20.6% ± 1.5% · Brier 0.1991 · log-loss 0.5946 · n 1600n = 1600
BrierBS
0.1991
lower = better · ō 0.52
BSSvs base
20.3%
improvement over base rate
ReliabilityREL
0.0042
miscalibration · want ↓
ResolutionRES
0.0548
decisiveness · want ↑
Log lossLL
0.5946
cross-entropy
AUCROC
0.767
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 = 0.767false positive ratetrue positive rate0.0000.0750.1500.2250.3000.250UNC0.055RES0.004REL0.199BRIERcontribution
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 0.86 · expectancy -0.076R180 trades · win 45.6% · Sharpe -0.067
Total P/Lnet
-$3,435
on $45,000 cycled
Win ratehit %
45.6%
82 W / 98 L
Profit factorPF
0.86
$ won / $ lost
Expectancyper trade
-$19.08
avg $ per position
R-expectancyper risk
-0.076R
in units of risk taken
Avg win / losspayoff
$256.89 / -$250.00
ratio 1.03 : 1
Sharpe / traderisk-adj
-0.067
μR / σR
Closing line valueCLV
+2.44 pp
avg edge vs close
-$4,351-$3,166-$1,981-$795$39003672108144180trade #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-keir-starmer-be-the-next-leader-out-before-2027-565 · fresh · feed 3s old
24h sparkline · 60 pts
realized vol (ann.)
143.91%
max drawdown
5.76%
sharpe
ulcer index
2.80%
RMS drawdown
pain index
1.78%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
4.50%
cond. drawdown
gain/pain
1.13
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
1.13
upside/downside
roll spread
0.1 bps
implied (price-only)
bars used
1038
store
spread
24h Δ
flow lean
carry
flat
signalNEUTRALconfidence 20%
Same bundle via M2M API: /api/m2m/pm-will-keir-starmer-be-the-next-leader-out-before-2027-565/bundle · venue execution: polymarket