POLYMARKET · PREDICTION MARKET · SPORTS

Will Germany win the 2026 FIFA World Cup?

YES · live
6.3¢
NO · live
93.7¢

▸ Advanced metrics · M2M bundle

polymarket · will-germany-win-the-2026-fifa-world-cup-467 · fresh · feed 7s old
24h sparkline · 60 pts
realized vol (ann.)
9.24%
max drawdown
1.60%
sharpe
ulcer index
0.21%
RMS drawdown
pain index
0.03%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
0.03%
cond. drawdown
gain/pain
2.00
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
2.00
upside/downside
roll spread
0.3 bps
implied (price-only)
bars used
1028
store
spread
24h Δ
flow lean
carry
flat
signalNEUTRALconfidence 20%
Same bundle via M2M API: /api/m2m/pm-will-germany-win-the-2026-fifa-world-cup-467/bundle · venue execution: polymarket
LIVEPOLL0SRCFRESH7.4s--:--:-- UTC8NEXT8.0sUP0s--:--HIST0/30
▶ STREAMING·HYPERLIQUID·POLYMARKET·0 POLLS·SRC FRESH·UPTIME 0s·NEXT POLL 8.0s·CC0 OPEN DATA·HYPO.MARKETS·▶ STREAMING·HYPERLIQUID·POLYMARKET·0 POLLS·SRC FRESH·UPTIME 0s·NEXT POLL 8.0s·CC0 OPEN DATA·HYPO.MARKETS·
YES · live
6.3¢
NO · live
93.7¢
YES price · live 24h
n=25 · μ=0.0605 · σ=0.0023 · range [0.0575, 0.0635] · R²=0.891 RISING +6.72%σ NORMAL 3.79%LAST 0.06350.06350.06200.06050.05900.0575μ = 0.0605max 0.0635min 0.0575dataMA(5)OLS R²=0.89μ lineμ ± σ bandmaxminlive endpoint
25 ticks · last 6.35¢
YES / NO split · live
YES 6.3%NO 93.7%NO93.7%93.65¢ · odds 1/1.07
Σ 100.00% · fair
Σ-sides total = 100.00% (tight rounding)
H(p) entropy = 0.341 / 1.00 bits (34%) · informative — one side favoured
YES
6.3%6.3¢15.75× +0.00pp
NO
93.7%93.7¢1.07× +0.00pp
Σ 100.00% · arb gap 0.00pp
Per-tick activity · |Δp| in basis points · live
n=24 · Σ=80 · μ=3.3 · σ=6.4 · CV=1.91BURSTY · concentratedcumulative energy ↗ · 50% by h=1105101520μ = 32050%h1h5h9h13h17h21#1 peak#2-3> μactivequietμ linecum energy
Σ 80bp moved · peak 20bp · n=24 ticks
Live numerics · pulse on poll
LIVE NUMERICS8 metrics·POLL 0
snapshot age
7.4s
YES mid
6.35¢ (6.35%)
NO mid
93.65¢ (93.65%)
ΣΣ sides
100.00%
arb gap
0.000pp
$24h vol $
$1.3M
liquidity $
$5.8M
history points
25 ticks (live)

§1 · 24h price history (YES + NO tokens)

YES price · CLOB mid
n=25 · μ=0.0605 · σ=0.0023 · range [0.0575, 0.0635] · R²=0.891 RISING +6.72%σ NORMAL 3.79%LAST 0.06350.06350.06200.06050.05900.0575μ = 0.0605max 0.0635min 0.0575dataMA(5)OLS R²=0.89μ lineμ ± σ bandmaxmin
25 YES observations from clob.polymarket.com · last 6.35¢
NO price · CLOB mid
n=25 · μ=0.9395 · σ=0.0023 · range [0.9365, 0.9425] · R²=0.891 FALLING -0.43%σ LOW 0.24%LAST 0.93650.94250.94100.93950.93800.9365μ = 0.9395max 0.9425min 0.9365dataMA(5)OLS R²=0.89μ lineμ ± σ bandmaxmin
25 NO observations from clob.polymarket.com · last 93.65¢

§2 · Distribution of Δp

Histogram of hourly increments
n=24 · 10 bins · μ=0.0003 · σ=0.0006 · skew=-0.93 (left-skewed) · kurt=5.00 (leptokurtic (fat tails))18149501-0.18ppbin -0.18pp · n=1 · 5.6% peakbin -0.18pp · n=1 · 5.6% peak-0.14pp-0.10pp-0.06pp-0.02pp180.02ppbin 0.02pp · n=18 · 100.0% peakbin 0.02pp · n=18 · 100.0% peak0.06pp40.10ppbin 0.10pp · n=4 · 22.2% peakbin 0.10pp · n=4 · 22.2% peak0.14pp10.18ppbin 0.18pp · n=1 · 5.6% peakbin 0.18pp · n=1 · 5.6% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=24
Q-Q plot · standardised Δp vs N(0,1)
n=24 · skew=-0.23 · kurt=3.59 · near 8 / mid 13 / far 3 · OLS slope=0.82 intercept=-0.00LEPTOKURTIC — FAT TAILSUPPER TAIL NORMALTHIN LOWER TAIL-3σ-3σ-2σ-2σ-1σ-1σ+0σ+0σ+1σ+1σ+2σ+2σ+3σ+3σsample ↓marginal: sample bars + theoretical N(0,1) curve →theoretical Φ⁻¹(p) →↑ sample z-quantile|Δ| < 0.3σ · on the line|Δ| < 1σ · moderate|Δ| ≥ 1σ · outliery = x refOLS fit
reference line = identity (perfect normality). Heavy upper-right tail = fat positive tail.

§3 · Sample moments

Descriptive statistics · 5-number summary · shape diagnostics
SAMPLE MOMENTS · N=25PLATYKURTIC · THIN TAILS (G₂=-1.63)
μ MEAN6.05¢95% CI: [5.96¢, 6.14¢]
σ STD DEV0.23ppσ² = 0.052 · CV = 3.79%
med MEDIAN6.05¢Q₁ 5.85¢ · Q₃ 6.25¢
FIVE-NUMBER SUMMARY · BOX PLOT
min 5.75¢Q₁ 5.85¢med 6.05¢Q₃ 6.25¢max 6.35¢μ
SKEWNESS · G₁0.080approximately symmetric
−3−10+1+3
EXCESS KURTOSIS · G₂-1.633platykurtic · thin tails
−30+2+4+6
μ ↔ median≈ equal · symmetric|μ−med| / σ = 0.00
σ × 1.349 ↔ IQRdiverges from normalratio = 0.77
range ↔ σconcentrated (range < 4σ)range / σ = 2.62
μ = mean YES probability · σ = standard deviation · 95% CI = μ ± 1.96·SE. Skew/kurt diagnose departure from normality.

§5 · Time-series structure

Regime & autocorrelation diagnostics
TIME-SERIES STRUCTUREREGIME: MEAN-REVERTING · ADF rejects unit root
ρ(1) AUTOCORR-0.091within white-noise band
ρ(2) AUTOCORR-0.005lag-2 not significant
H · HURST EXPONENT1.073strongly persistent
OLS TREND · t-STAT+13.702significant @ α=0.05
HURST EXPONENT [0, 1]
H = 1.073STRONGLY PERSISTENT
0
anti-persistent
0.45
mean-reverting
0.5
random walk
0.55
persistent
1
strongly trending
AUTOCORRELATION FUNCTION · ρ(k) for k=1..5
k=1-0.091k=2-0.005k=3+0.169k=4-0.275k=5+0.0020+1−1+0.410.41+ momentum (ρ > +0.41)− reversal (ρ < −0.41)noise (within band)±2/√n threshold
OLS TREND · t-STAT · [-5, +5]
−5 reject−1.960 retain H₀+1.96+5 reject
REGIME CLASSIFICATIONMEAN-REVERTING · ADF rejects unit rootfrom Hurst + ρ(1) joint diagnosis
PREDICTABILITY · score 1.00very high · strong structure|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCESIGNIFICANT @ 1% (|t|=13.70)α=0.05 critical |t|=1.96 · α=0.01 |t|=2.58
ρ(k) = lag-k sample autocorrelation · H = R/S Hurst exponent · t = OLS-trend t-statistic. Significance bands at ±2/√n approximate the 95% white-noise envelope. α=0.05 critical |t|=1.96; α=0.01 |t|=2.58.

§6 · Microstructure

Market quality · two-sided pricing · activity
MICROSTRUCTURE · MARKET QUALITYPERFECT · ARB-FREE Σ=100.00%
MARKET ID558939
SLUGwill-germany-win-the-2026-fifa-world-cup-467
CATEGORYSports
TWO-SIDED PRICING
PRIMARY · YES6.35¢implied prob 6.35% · decimal odds 15.75×
COUNTER · NO93.65¢implied prob 93.65% · decimal odds 1.07×
6.35¢
93.65¢
Σ-SIDES ARBITRAGE TEST
0%50%100% · target110%
Σ = 100.00% · |1 − Σ| = 0.000pp
24H ACTIVITY · LIQUIDITY
24H VOLUME1.31M USD 24h
LIQUIDITY5.84M USD
MARKET QUALITYPERFECT · ARB-FREE Σ=100.00%|1−Σ| ≤ 0.5pp ⇒ fair · > 2pp ⇒ inefficient
PRICING SKEWFAVOURS NO (94¢)|primary − counter| = 0.873 · entropy 0.341 bits
LIQUIDITY DEPTHDEEP100k+ deep · 10k+ active · 1k+ modest · 100+ thin
Σ-sides = YES + NO implied probabilities. Perfect arb-free Σ = 100%. |1−Σ| > 2pp suggests synthetic outright arbitrage.

§7 · Position sizing & edge analysis

Probability split · YES vs NO · Kelly · entropy · arbitrage
FAIR MARKET · no edge
YES 6.3%NO 93.7%YES6.3%H = 0.341 / 1.00 bits
Probability scale (YES)
0%25%50%
fair
75%100%
Implied decimal odds
YES15.75×(6¢)NO1.07×(94¢)
Kelly bet-size (% of bankroll) K* = 0.00%
K* full
0.00%
½K half
0.00%
¼K quarter
0.00%
Entropy H(p̂) = 0.341 bits (34% of max) · informative — one side strongly favoured
0 (certain)0.250.50.751.00 (max)
Σ-sides = 100.00% · |1 − Σ| = 0.00pp · tight cross-venue rounding
K* full = (b·p − q)/b · ½K and ¼K are conservative fractions of the full-Kelly bet. Entropy in bits — log₂(2)=1 is maximum uncertainty for a binary market.

§8 · Time decay & θ projection

Time decay & theta projection
⏱ URGENCY · DISTANTresolves 2026-07-20 00:00 UTC
29days
11hrs
56min
YES$1.00(P = 6.3%)
NO$0.00(P = 93.7%)
current: $0.0635 · expected return per side: $0.94 on YES hit · $0.06 on NO hit
0%25%50%75%100%YES $1NO $0NOW+14.7dRESOLVESP projection · σ=0.23% · path funnel to settle at YES=1 or NO=0
Theta progression · θ ∝ σ / √t_remainingθ_now = 1.122 pp/day
now29.50d left
1.122 pp/day×1.00
−25%22.12d left
1.296 pp/day×1.15
−50%14.75d left
1.587 pp/day×1.41
−75%7.37d left
2.245 pp/day×2.00
−90%2.95d left
3.550 pp/day×3.16
θ approximation: σ/√T (expected daily move magnitude). The cone shows ±√(p̂(1−p̂)) widening as time decays, funneling to {0, 1} at resolution. Theta accelerates as √(t_left)→0.

§9 · Hourly return heatmap

24-hour signed Δp grid · green = up · red = down
HOURLY RETURN HEATMAP · n=24 bars · best 0.20% · worst -0.20% · typical |Δ| 0.03%MILD BULLISH +0.40%BEST+0.20%11hWORST-0.20%1hTYPICAL |Δ|0.03%mean absoluteCUMULATIVE+0.40%Σ signed ΔSTREAK▬ 0flat-runASIA · 00-08 UTCμ -0.01% · Σ -0.10%EUROPE · 08-16 UTCμ +0.04% · Σ +0.30%US · 16-24 UTCμ +0.03% · Σ +0.20%CUMULATIVE Δ PATH · final +0.40%+0.40%-0.20%-0.20% · 1h-0.20% · 1h-0.20%1h▼ WORST0.00% · 2h0.00% · 2h·2h0.00% · 3h0.00% · 3h·3h0.00% · 4h0.00% · 4h·4h0.10% · 5h0.10% · 5h0.10%5h0.00% · 6h0.00% · 6h·6h0.00% · 7h0.00% · 7h·7h0.00% · 8h0.00% · 8h·8h0.00% · 9h0.00% · 9h·9h0.00% · 10h0.00% · 10h·10h0.20% · 11h0.20% · 11h0.20%11h★ BEST0.00% · 12h0.00% · 12h·12h0.00% · 13h0.00% · 13h·13h0.10% · 14h0.10% · 14h0.10%14h0.00% · 15h0.00% · 15h·15h0.00% · 16h0.00% · 16h·16h0.10% · 17h0.10% · 17h0.10%17h0.00% · 18h0.00% · 18h·18h0.10% · 19h0.10% · 19h0.10%19h0.00% · 20h0.00% · 20h·20h0.00% · 21h0.00% · 21h·21h0.00% · 22h0.00% · 22h·22h0.00% · 23h0.00% · 23h·23h0.00% · 24h0.00% · 24h·24hTIME PATTERNuniform across sessionsRUNSup max 1 · down max 1BREADTH21% up · 4% down · 75% flat
5 up bars · 1 down · best 0.20% · worst -0.20% · typical |Δ| 0.033%

§10 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=25 barsPROFITABLE +0.40%FINAL+0.40%MAX DD-0.20%RECOVERYFULLY RECOVEREDMAX RUN-UP+0.40%UNDERWATER10/25 (40%)STREAK▬ 0EQUITY CURVE · end 1.0040 · peak 1.0040 · range [0.9980, 1.0040]1.00400.9980break-even = 1★ PEAK 1.0040UNDERWATER DRAWDOWN · max -0.20% · shallow0%-0.20%▼ TROUGH -0.20%TOP DRAWDOWN PERIODS · 1 total#1 -0.20%bar 2-11 · 10 bars · recoveredDD SEVERITYshallow (max -0.20%)RECOVERYfully recoveredTIME UNDER WATER40% of session · 10/25 bars
final equity 1.0040 (0.40%) · max DD -0.20% · time-under-water 10/25 bars

§11 · Rolling-window statistics (w = 6 bars)

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +18 / −1 (95% positive) · μ=46.49 · σ=20.08PROFITABLE STRATEGYLAST 38.21 (-0.41σ vs μ)85.4442.720.00-42.72-85.44μ = 46.49-15.87-15.8738.2138.2138.2138.2138.2138.2138.2138.2138.2138.2138.2138.2138.2138.2155.9355.9355.9355.9355.9355.9360.4260.4260.4260.4285.4485.4460.4260.4260.4260.4260.4260.4238.2138.2138.2138.21v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest 38.210 · range [-15.87, 85.44] · μ 46.492 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=5.6757 · σ=1.8628 · range [3.8210, 9.2022] · R²=0.083 FALLING -58.48%σ EXTREME 32.82%LAST 3.82109.20227.85696.51165.16633.8210μ = 5.6757max 9.2022min 3.8210dataMA(3)OLS R²=0.08μ lineμ ± σ bandmaxmin
latest 3.82% · range [3.82%, 9.20%] · μ 5.68% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +1 / −18 (5% positive) · μ=-0.287 · σ=0.194MEAN-REVERSIONLAST -0.033 (+1.31σ vs μ)0.5830.2920.000-0.292-0.583μ = -0.2870.0290.029-0.233-0.233-0.233-0.233-0.233-0.233-0.033-0.033-0.033-0.033-0.233-0.233-0.233-0.233-0.357-0.357-0.500-0.500-0.214-0.214-0.333-0.333-0.583-0.583-0.500-0.500-0.583-0.583-0.583-0.583-0.333-0.333-0.233-0.233-0.033-0.033v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.033 · |ρ| > 0.3 ⇒ regime with persistence (ρ > 0) or reversal (ρ < 0) · |ρ| ≤ 0.1 = consistent with random walk

§12 · Hypothesis tests (α = 0.05)

Formal inference at 5% significance
2 of 5 REJECT · mixed evidence2 reject·3 pass·1 n/a·α = 0.05
𝒩

Jarque-Bera

REJECT H₀***

H₀: Δp ~ Normal(μ, σ²)

STATISTIC
22.9800
p-VALUE (log scale)
< 0.0001
α
10⁻⁴10⁻³10⁻²10⁻¹1
p < α · rejection zonenon-normal · fat tails or skew present
ρ

Ljung-Box(h=5)

FAIL TO REJECTns

H₀: No serial autocorrelation up to lag 5

STATISTIC
3.4249
p-VALUE (log scale)
0.6373
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedconsistent with white noise
Ψ

Dickey-Fuller (τ_μ)

FAIL TO REJECTns

H₀: p has a unit root (non-stationary)

STATISTIC
-0.1937
p-VALUE (log scale)
0.9333
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedrandom-walk behaviour (crit ≈ -2.86)
±

Wald-Wolfowitz runs

N/An/a

H₀: Sign sequence of Δ is random

STATISTIC
p-VALUE (log scale)
no decision possibleinsufficient sign variety (5+/1-)
χ

KPSS (μ stationarity)

REJECT H₀**

H₀: p IS level-stationary

STATISTIC
0.8623
p-VALUE (log scale)
0.0050
α
10⁻⁴10⁻³10⁻²10⁻¹1
p < α · rejection zonenon-stationary (crit 0.463)
χ

Variance ratio q=3

FAIL TO REJECTns

H₀: Δp is a random walk · VR = 1

STATISTIC
-1.3423
p-VALUE (log scale)
0.1795
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 0.592 ≈ 1 (RW behaviour)
Each row states an explicit null H₀, the test statistic, an approximated p-value, and the decision. REJECT means evidence against H₀. KPSS complements ADF (rejecting both ⇒ ambiguous; rejecting one ⇒ clean verdict).

§13 · Spectral analysis (DFT periodogram)

Power spectrum of Δp · ‖X̂(k)‖²/n
n=12 bins · noise floor μ=4.79e-7 · top T=3.00h (22.5%) · top-3 cover 49.7%1 SIGNIFICANT CYCLEcumulative energy ↗ (1 bin above 2× noise)1.3e-69.7e-76.5e-73.2e-70.0e+0μ noise floor2× noise (significance)period 24.0 · power 9.22e-7 · 16.0% energyperiod 24.0 · power 9.22e-7 · 16.0% energyperiod 12.0 · power 2.00e-7 · 3.5% energyperiod 12.0 · power 2.00e-7 · 3.5% energyperiod 8.0 · power 5.24e-7 · 9.1% energyperiod 8.0 · power 5.24e-7 · 9.1% energyperiod 6.0 · power 5.42e-7 · 9.4% energyperiod 6.0 · power 5.42e-7 · 9.4% energyperiod 4.8 · power 5.04e-8 · 0.9% energyperiod 4.8 · power 5.04e-8 · 0.9% energyperiod 4.0 · power 4.17e-7 · 7.2% energyperiod 4.0 · power 4.17e-7 · 7.2% energyperiod 3.4 · power 3.89e-8 · 0.7% energyperiod 3.4 · power 3.89e-8 · 0.7% energyperiod 3.0 · power 1.29e-6 · 22.5% energyperiod 3.0 · power 1.29e-6 · 22.5% energyperiod 2.7 · power 6.42e-7 · 11.2% energyperiod 2.7 · power 6.42e-7 · 11.2% energyperiod 2.4 · power 6.33e-7 · 11.0% energyperiod 2.4 · power 6.33e-7 · 11.0% energyperiod 2.2 · power 3.22e-7 · 5.6% energyperiod 2.2 · power 3.22e-7 · 5.6% energyperiod 2.0 · power 1.67e-7 · 2.9% energyperiod 2.0 · power 1.67e-7 · 2.9% energy50% by T=3.0h#1 dominantT=3.00h#2T=24.00h#3T=2.67hT=2hT=3hT=4hT=6hT=8hT=12hT=16hT=24h← shorter cycle (high freq · Nyquist=½) · period T (bars per cycle) · longer cycle (low freq · 1/n) →#1 dominant#2 peak#3 peak> 2× noisenoiseμ floor2μ sig.cum energy
dominant period ≈ 3.00h (freq 0.333) · concentrates 22.5% of total energy · Σ|X̂|²/n = 5.750e-6

▸ Depth section using sovereign-store price series (5000 bars · effective 1752616 bars/year) — annualisation reflects native polling cadence, not upstream timeframes.

§14 · Honest position analytics

A binary-market analytics module framed in horizon time (days to resolution, not annualised). Estimators that need a model probability q as a first-class input (Kelly, KL divergence, Bayesian posterior, Mark-to-Market MC) only render when q is provided externally. Sweep an exploratory q at the interactive simulator →

§15 · Horizon returns

Returns · per bar / per day / per horizon
Horizon 29.5 d · σ/bar 0.006pp · expected |Δp| over horizon 0.16ppterminal variance p(1−p) = 0.0595 · n = 5000n = 5000
μ per bar
+0.000pp
average Δp · drift
σ per bar
0.006pp
one-bar volatility · logit-free
Per-day movedaily
0.03pp
σ × √24
Per-horizon move29d
0.16pp
σ × √707.9453933333334
Terminal variancebinary
0.0595
p(1−p) at resolution
Current pricep
6.3¢
latest snapshot
Note: annualised Sharpe/Sortino are omitted — they are not meaningful for a bounded fixed-horizon binary contract that snaps to {0, 1} at resolution.
Annualised metrics are intentionally omitted — they don't apply to bounded probability series that resolve at a fixed date.

§16 · Tail risk

VaR · ES · max drawdown
VaR₉₅ 0.01pp · ES₉₅ 0.01pp · method parametric · drift-correcteddrift +0.000pp/bar · quantised: yes · median step 0.10pp · unique ratio 0.00n = 5000
VaR 95%
0.01pp
1.645·σ (parametric) of Δp
ES 95%
0.01pp
mean of the tail
Max drawdown
1.6pp
peak 6.3¢ → trough 6.2¢
Median step
0.10pp
price bucket granularity
Price series is bucketed (cent grid). Empirical quantiles collapse to grid points — parametric N(0, σ²) used instead.
Empirical quantiles unless the price series is bucketed (PM cent grid), in which case parametric N(0, σ²) is used to avoid grid collapse.

§17 · Odds conversion

Odds conversion · every dialect a bettor thinks in
Implied probabilityP
6.3%
= price
Decimal oddsEU
15.748
total return per $1
AmericanUS
+1475
$100 wins $1475
FractionalUK
14.75 / 1
profit per $1 risked
Profit per $100stake
+$1474.80
clean dollar framing
-1000-5000+500+1000020406080100you · 6.3%implied probability (%)American odds
underdog (+)favorite (-)your price
Price → implied probability → decimal odds → American moneyline → fractional. Five views of the same number, plus the moneyline curve.

§18 · Binary entropy

Binary entropy · uncertainty as bits of information
Market entropyH(p)
0.341 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.341 bit
Δ +0.000 bit vs market
Surprise · YES−log₂ p
3.98 bit
self-information
Surprise · NO−log₂(1−p)
0.09 bit
self-information
0.000.260.530.791.050.00.20.40.60.81.0marketmodelprobabilityH (bits)
Market entropy only — model entropy requires an external q.

§19 · Model-dependent surfaces

§ Edge / Kelly / KL · no model probability provided

External model required

The position-economics, Kelly, KL-divergence, Bayesian and Monte-Carlo surfaces require a model probability q as input — a number independent of the market price p.

The previous build defaulted q to a tape-momentum heuristic derived from p; that produces apparent edge that is structurally guaranteed to be small and is not a useful skill signal. The auto-derived path has been removed.

To explore these surfaces with a hypothetical q, open the interactive simulator and drag the MODEL P(YES) slider. To wire a real model, POST to the NOSTRADAMUS hook (TBD) or pass ?q=… on the simulator URL.

§∞ · Provenance & attestation

Upstream (snapshot)
gamma-api.polymarket.com
Upstream (history)
clob.polymarket.com
YES token ID
81739002353269632749850710185641576213562066971072676369728657545679630163887
NO token ID
45484070731786948288366703334552551439356529561722304542938873238430842810537
Snapshot fetched
2026-06-20 12:03:08 UTC
Snapshot age
7.4s
History points
25 CLOB mids
Page rendered
2026-06-20 12:03:16 UTC
Storage policy
no persistence — fetched on every request
SHA-256 attestation
e988a5558f4d6f2df516e673159d63491bab5d62495e75be0adeb0ec36d0942e · deterministic hash of source snapshot
Open data licence
CC0 / public domain

§∞-2 · Related markets · explore more

Also see: /arb opportunities · RSS feed · more in Sports

Market depth

live order book · Polymarket YES
Depth within 1bp
$0
bid $0 · ask $0
Depth within 5bp
$0
bid $0 · ask $0
Depth within 10bp
$0
bid $0 · ask $0
Depth within 50bp
$0
bid $0 · ask $0
Mid price
0.063500
(best bid + best ask) / 2
Spread
157.5bp
(bestAsk − bestBid) / mid
Imbalance (whole book)
-0.520
ask-heavy
Imbalance (top-5)
+0.056
bid-heavy top-of-book

Slippage scenarios

live book walk · Polymarket YES

Simulating a market order at three notionals against the live book. Slippage = avg execution price vs. mid, in basis points. Worst fill = price of the deepest level touched. Live JSON: /api/asset/pm-will-germany-win-the-2026-fifa-world-cup-467/slippage?size=10000&side=buy

SideNotionalAvg fillSlippageWorst fillLevelsStatus
BUY$1.00K0.06400078.74bp0.0640001FILLED
BUY$10.00K0.06400078.74bp0.0640001FILLED
BUY$100.00K0.0730911510.43bp0.07900016FILLED
SELL$1.00K0.06300078.74bp0.0630001FILLED
SELL$10.00K0.06300078.74bp0.0630001FILLED
SELL$100.00K0.057811895.93bp0.0560008FILLED

Risk metrics

sovereign store · 5,000 barsperiods/year ≈ 1.75M
Realized vol (annualised)
128.97%
σ per bar = 0.000974
Mean return (annualised)
4094.90%
μ per bar = 0.000023
Sharpe (rf=0)
31.75
annualised; risk-free assumed zero
Max drawdown
1.60%
peak 0.06 → trough 0.06 over 20 bars

/api/asset/pm-will-germany-win-the-2026-fifa-world-cup-467/risk · same metrics, JSON