NOSTRADAMUS · Position Analytics Engine

SIMULATOR Spread: Germany (-5.5)

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-fifwc-ger-kor-2026-06-14-spread-home-5pt5 page.

▲ YES EDGE · +0.011 · f★ 1.5% · deploy 0.7% · net 0.38pp

§1 · Position economics

Payoff diagram · binary contract P/L vs resolution
YES · Expected P/L per share +0.0113@ model P(YES) = 0.246
-1.00-0.50+0.00+0.50+1.000.000.200.400.600.801.00price 0.235model 0.246YES 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★ = 1.48% · g(f★) = 0.035%deploy 0.74% · g = 0.027%
-2.11%-1.57%-1.03%-0.50%0.04%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 @ 0.235 · EV +$9stake $185 · 0.74% of bankroll
Deployed stakestake
$185
0.74% of bankroll
Sharesunits
788
each pays $1 if YES
Max payoutwin
$788
gross, if win
Max profitwin
+$603
net of cost
Max losslose
-$185
binary settles to $0
Payout multiple×
×4.26
$1 → $4.26
Risk:RewardR:R
3.26 : 1
win $3.26 per $1
Expected P/LE[P/L]
+$9
probability-weighted
OutcomeP(model)P/LContribution
Resolves YES (win)24.6%+$603+$148
Resolves against (lose)75.4%-$185-$140
Expected value100.0%+$9
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 +1.1 pprelative edge +4.8%
Required win ratebreak-even
23.5%
price = implied probability
Model win rateP(win)
24.6%
what you forecast
Cushionedge
+1.1 pp
margin of safety
Fair pricemodel
0.246
where you think it should trade
-60-3003060020406080100you @ 23.5%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
23.5%
= price
Decimal oddsEU
4.255
total return per $1
AmericanUS
+326
$100 wins $326
FractionalUK
3.26 / 1
profit per $1 risked
Profit per $100stake
+$325.53
clean dollar framing
-1000-5000+500+1000020406080100you · 23.5%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 84% · APY 127%ROI 4.8% over 21d · 17.4 turns/yr
Time to resolvehorizon
21.0 d
504h capital lockup
Raw ROIper resolve
+4.8%
APR (simple)scaled
+84%
ROI × 365/days
APY (compounded)if redeployed
+127%
(1+ROI)^(365/d) − 1
Daily expectedper day
+0.22%
geometric, per day held
Capital turns/yrvelocity
×17.4
how often this slot recycles
0%220%440%660%880%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 +0.38 pperosion 66% · break-even w/ fees 24.3%
-0.1pp0.2pp0.5pp0.9pp1.2pp1.5pp+1.13Gross edge-0.75- ½ spread+0.00- entry fee+0.00- exit fee+0.38Net 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★
$370
1.48% · g = 0.035%
Half Kelly½ f★
$185
0.74% · g = 0.027%
Quarter Kelly¼ f★
$93
0.37% · g = 0.016%
Flat 1%1%
$250
1.00% · g = 0.032%
Flat 2%2%
$500
2.00% · g = 0.031%
Flat 5%5%
$1,250
5.00% · g = -0.151%
Recommended¼ f★
$93
survives model error
$0$369$738$1,106$1,475$370Full Kelly1.48%$185Half Kelly0.74%$93Quarter Kelly0.37%$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)
0.787 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.805 bit
Δ +0.019 bit vs market
Surprise · YES−log₂ p
2.09 bit
self-information
Surprise · NO−log₂(1−p)
0.39 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) = 0.0004 nat (0.0005 bit)belief ≈ market — stand down
-0.014-0.0070.0000.0080.0150.0116YES branch-0.0112NO branchΣKL = 0.0004 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 0.246 · CI [0.14, 0.37] · κ 50.6
Posterior meanE[θ]
0.246
Beta(12.5, 38.1)
95% credible intervalHDI
[0.14, 0.37]
price INSIDE → weak edge
Concentrationκ
50.6
pseudo-obs behind belief
Disagreementvs crowd
+1.1 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] -1.1% · P(YES) 23.3% · VaR₉₅ 100.0%400 paths · 504 bars to resolution
Expected P/Lper $1
-1.06%
P(YES) empiricalq
23.3%
Best pathmax
+325.5%
Worst pathmin
-100.0%
VaR 95%5%
100.0%
CVaR 95%ES
100.0%
25¢50¢75¢100¢084168252336420504entry 23.5¢model q 24.6¢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 0.01% · ruin rate 0.0%400 paths × 120 bets · f deploy 0.74%
Sharpe / betμ/σ
0.027
μ 0.04% · σ 1.4%
Sortino / betμ/σ↓
0.050
downside-only denominator
VaR 95%5%
-0.7%
per-bet worst-case
CVaR 95%ES
-0.7%
mean tail loss
Max drawdownMDD
-3.1%
Calmar 0.00
Ruin rate≤50%
0.0%
P(equity ever ≤ 50%)
0.78×0.90×1.02×1.14×1.26×1.38×020406080100120startruin 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 -32.2pp · crowd gap -33.3pp
0%20%40%60%80%100%Reference base rate56.8%Market price23.5%Model P(YES)24.6%
Anchor gapmodel − base
-32.2 pp
Crowd gapprice − base
-33.3 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 19.9% · AUC 0.766out-of-sample BSS (5-fold) 19.9% ± 2.5% · Brier 0.2002 · log-loss 0.5986 · n 1600n = 1600
BrierBS
0.2002
lower = better · ō 0.51
BSSvs base
19.9%
improvement over base rate
ReliabilityREL
0.0044
miscalibration · want ↓
ResolutionRES
0.0533
decisiveness · want ↑
Log lossLL
0.5986
cross-entropy
AUCROC
0.766
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 = 0.766false positive ratetrue positive rate0.0000.0750.1500.2250.3000.250UNC0.053RES0.004REL0.200BRIERcontribution
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 +0.054R180 trades · win 48.9% · Sharpe 0.035
Total P/Lnet
+$2,415
on $45,000 cycled
Win ratehit %
48.9%
88 W / 92 L
Profit factorPF
1.11
$ won / $ lost
Expectancyper trade
+$13.42
avg $ per position
R-expectancyper risk
+0.054R
in units of risk taken
Avg win / losspayoff
$288.81 / -$250.00
ratio 1.16 : 1
Sharpe / traderisk-adj
0.035
μR / σR
Closing line valueCLV
+2.14 pp
avg edge vs close
-$3,145-$1,405$335$2,074$3,81403672108144180trade #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 · fifwc-ger-kor-2026-06-14-spread-home-5pt5 · fresh · feed 0s old
24h sparkline · 60 pts
realized vol (ann.)
501.17%
max drawdown
42.00%
sharpe
ulcer index
12.75%
RMS drawdown
pain index
9.47%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
26.38%
cond. drawdown
gain/pain
0.73
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
0.73
upside/downside
roll spread
6.3 bps
implied (price-only)
bars used
762
store
spread
24h Δ
flow lean
carry
flat
signalNEUTRALconfidence 20%
Same bundle via M2M API: /api/m2m/pm-fifwc-ger-kor-2026-06-14-spread-home-5pt5/bundle · venue execution: polymarket