HYPERLIQUID · HIP-3 PREDICTION MARKET · OUTCOME #318

Germany

Primary · Yes
94.3¢
Counter · No
5.7¢

▸ Advanced metrics · M2M bundle

hyperliquid · pred-germany-318 · fresh · feed 3s old
24h sparkline · 60 pts
realized vol (ann.)
5.80%
max drawdown
0.16%
sharpe
ulcer index
0.07%
RMS drawdown
pain index
0.05%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
0.14%
cond. drawdown
gain/pain
0.77
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
0.77
upside/downside
roll spread
0.0 bps
implied (price-only)
bars used
2000
store
spread
24h Δ
flow lean
carry
flat
signalNEUTRALconfidence 20%
Same bundle via M2M API: /api/m2m/hl-pred-germany-318/bundle · venue execution: hyperliquid
LIVEPOLL0SRCFRESH3.3s--:--:-- 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 mid · live
94.3¢
No mid · live
5.7¢
Yes · live 24h price
n=25 · μ=0.9413 · σ=0.0045 · range [0.9359, 0.9550] · R²=0.374 RISING +0.21%σ LOW 0.48%LAST 0.94340.95500.95020.94550.94070.9359μ = 0.9413max 0.9550min 0.9359dataMA(5)OLS R²=0.37μ lineμ ± σ bandmaxminlive endpoint
25 bars · close 94.34¢ · 24h +0.21%
Probability split · live
Yes 94.3%No 5.7%YES94.3%94.30¢ · odds 1/1.06
Σ 100.00% · fair
Σ-sides total = 100.00% (tight rounding)
H(p) entropy = 0.315 / 1.00 bits (32%) · informative — one side favoured
Yes
94.3%94.3¢1.06× +0.00pp
No
5.7%5.7¢17.55× +0.00pp
primary vs counter implied %
Volume · per-hour contracts · live
n=25 · Σ=62,719 · μ=2508.8 · σ=5633.2 · CV=2.25BURSTY · concentratedcumulative energy ↗ · 50% by h=1206,52513,05019,57526,100μ = 250926,10050%h1h5h9h13h17h21h25#1 peak#2-3> μactivequietμ linecum energy
Σ 62719 · peak 26100
Live numerics · pulse on poll
LIVE NUMERICS8 metrics·POLL 0
snapshot age
3.3s
Yes mid
94.302¢
No mid
5.699¢
ΣΣ sides
100.00%
Σarb gap |1 − Σ|
0.00pp
Δ24h candles
25 bars
Δ24h close
94.34¢
Δ24h change
+0.21%

§1 · 24h time-series

Mid price · Yes (25 hourly observations)
n=25 · μ=0.9413 · σ=0.0045 · range [0.9359, 0.9550] · R²=0.374 RISING +0.21%σ LOW 0.48%LAST 0.94340.95500.95020.94550.94070.9359μ = 0.9413max 0.9550min 0.9359dataMA(5)OLS R²=0.37μ lineμ ± σ bandmaxmin
range [93.59¢, 95.50¢] · span 1.91pp · MA(5) latest 94.58¢
Candlestick · open / high / low / close per hour
n=25 · up 19 · down 6 (76% up) · range [0.9359, 0.9550] · σ=0.0045 · CV=0.00 · bodyµ=32%BULLISH +0.21%CLOSE 0.9434 vs OPEN 0.9414 (+0.21%)&#9650; CLOSE 0.94340.95500.95020.94550.94070.9359μ close = 0.9413O0.941 H0.941 L0.941 C0.941 (+0.00%)O0.941 H0.941 L0.941 C0.941 (+0.00%)O0.941 H0.941 L0.939 C0.940 (-0.19%)O0.941 H0.941 L0.939 C0.940 (-0.19%)O0.938 H0.938 L0.938 C0.938 (+0.00%)O0.938 H0.938 L0.938 C0.938 (+0.00%)O0.939 H0.939 L0.939 C0.939 (+0.00%)O0.939 H0.939 L0.939 C0.939 (+0.00%)O0.938 H0.938 L0.936 C0.936 (-0.22%)O0.938 H0.938 L0.936 C0.936 (-0.22%)O0.936 H0.936 L0.936 C0.936 (+0.00%)O0.936 H0.936 L0.936 C0.936 (+0.00%)O0.938 H0.938 L0.938 C0.938 (+0.00%)O0.938 H0.938 L0.938 C0.938 (+0.00%)O0.938 H0.938 L0.938 C0.938 (+0.00%)O0.938 H0.938 L0.938 C0.938 (+0.00%)O0.939 H0.939 L0.939 C0.939 (+0.00%)O0.939 H0.939 L0.939 C0.939 (+0.00%)O0.939 H0.939 L0.939 C0.939 (+0.05%)O0.939 H0.939 L0.939 C0.939 (+0.05%)O0.939 H0.939 L0.938 C0.939 (-0.00%)O0.939 H0.939 L0.938 C0.939 (-0.00%)O0.939 H0.939 L0.939 C0.939 (+0.00%)O0.939 H0.939 L0.939 C0.939 (+0.00%)O0.939 H0.939 L0.939 C0.939 (+0.00%)O0.939 H0.939 L0.939 C0.939 (+0.00%)O0.938 H0.938 L0.938 C0.938 (+0.00%)O0.938 H0.938 L0.938 C0.938 (+0.00%)O0.941 H0.941 L0.941 C0.941 (+0.00%)O0.941 H0.941 L0.941 C0.941 (+0.00%)O0.941 H0.941 L0.941 C0.941 (+0.00%)O0.941 H0.941 L0.941 C0.941 (+0.00%)O0.941 H0.941 L0.941 C0.941 (+0.00%)O0.941 H0.941 L0.941 C0.941 (+0.00%)O0.955 H0.955 L0.955 C0.955 (+0.00%)O0.955 H0.955 L0.955 C0.955 (+0.00%)O0.943 H0.943 L0.941 C0.941 (-0.18%)O0.943 H0.943 L0.941 C0.941 (-0.18%)O0.943 H0.944 L0.940 C0.943 (+0.01%)O0.943 H0.944 L0.940 C0.943 (+0.01%)1.0%O0.943 H0.953 L0.943 C0.953 (+1.01%)O0.943 H0.953 L0.943 C0.953 (+1.01%)O0.944 H0.945 L0.944 C0.945 (+0.06%)O0.944 H0.945 L0.944 C0.945 (+0.06%)O0.945 H0.945 L0.945 C0.945 (-0.00%)O0.945 H0.945 L0.945 C0.945 (-0.00%)O0.944 H0.944 L0.943 C0.943 (-0.09%)O0.944 H0.944 L0.943 C0.943 (-0.09%)O0.943 H0.943 L0.943 C0.943 (+0.00%)O0.943 H0.943 L0.943 C0.943 (+0.00%)#1#5#9#13#17#21#25up bar (C≥O)down bar (C<O)MA(5) closeμ closedoji (~no body)biggest body
25 bars · last close 94.34¢
Hourly traded contracts
n=25 · Σ=62,719 · μ=2508.8 · σ=5633.2 · CV=2.25BURSTY · concentratedcumulative energy &nearr; · 50% by h=1206,52513,05019,57526,100μ = 250967 · 0.3% peak67 · 0.3% peak728 · 2.8% peak728 · 2.8% peak12 · 0.0% peak12 · 0.0% peak625 · 2.4% peak625 · 2.4% peak546 · 2.1% peak546 · 2.1% peak0 · 0.0% peak0 · 0.0% peak212 · 0.8% peak212 · 0.8% peak159 · 0.6% peak159 · 0.6% peak21 · 0.1% peak21 · 0.1% peak26,10026,100 · 100.0% peak26,100 · 100.0% peak375 · 1.4% peak375 · 1.4% peak3,191 · 12.2% peak3,191 · 12.2% peak1,000 · 3.8% peak1,000 · 3.8% peak73 · 0.3% peak73 · 0.3% peak55 · 0.2% peak55 · 0.2% peak0 · 0.0% peak0 · 0.0% peak531 · 2.0% peak531 · 2.0% peak523 · 2.0% peak523 · 2.0% peak4,576 · 17.5% peak4,576 · 17.5% peak2,836 · 10.9% peak2,836 · 10.9% peak12,110 · 46.4% peak12,110 · 46.4% peak6,826 · 26.2% peak6,826 · 26.2% peak34 · 0.1% peak34 · 0.1% peak884 · 3.4% peak884 · 3.4% peak1,235 · 4.7% peak1,235 · 4.7% peak50%#1#5#9#13#17#21#25#1 peak#2-3> μactivequietμ linecum energy
Σ vol = 62719 · peak 26100 · mean 2508.8

§2 · Distribution of one-bar increments Δp = pₜ − pₜ₋₁

Histogram of Δp
n=24 · 12 bins · μ=0.0004 · σ=0.0048 · skew=-0.17 (symmetric) · kurt=2.33 (leptokurtic (fat tails))1186301-1.31ppbin -1.31pp · n=1 · 9.1% peakbin -1.31pp · n=1 · 9.1% peak-1.07pp1-0.84ppbin -0.84pp · n=1 · 9.1% peakbin -0.84pp · n=1 · 9.1% peak-0.61pp1-0.38ppbin -0.38pp · n=1 · 9.1% peakbin -0.38pp · n=1 · 9.1% peak5-0.15ppbin -0.15pp · n=5 · 45.5% peakbin -0.15pp · n=5 · 45.5% peak110.08ppbin 0.08pp · n=11 · 100.0% peakbin 0.08pp · n=11 · 100.0% peak30.32ppbin 0.32pp · n=3 · 27.3% peakbin 0.32pp · n=3 · 27.3% peak0.55pp0.78pp11.01ppbin 1.01pp · n=1 · 9.1% peakbin 1.01pp · n=1 · 9.1% peak11.24ppbin 1.24pp · n=1 · 9.1% peakbin 1.24pp · n=1 · 9.1% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=24 · positive 9 · negative 11
Q-Q plot · standardised Δp vs N(0,1)
n=24 · skew=-0.05 · kurt=3.07 · near 7 / mid 17 / far 0 · OLS slope=0.92 intercept=-0.00LEPTOKURTIC — FAT TAILSUPPER TAIL NORMALLOWER TAIL NORMAL-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 (prices)

Descriptive statistics · 5-number summary · shape diagnostics
SAMPLE MOMENTS · N=25LEPTOKURTIC · FAT TAILS (G₂=2.40)
μ MEAN94.13¢95% CI: [93.95¢, 94.31¢]
σ STD DEV0.45ppσ² = 0.205 · CV = 0.48%
med MEDIAN93.96¢Q₁ 93.86¢ · Q₃ 94.34¢
FIVE-NUMBER SUMMARY · BOX PLOT
min 93.59¢Q₁ 93.86¢med 93.96¢Q₃ 94.34¢max 95.50¢μ
SKEWNESS · G₁1.630right-skewed
−3−10+1+3
EXCESS KURTOSIS · G₂2.399leptokurtic · fat tails
−30+2+4+6
μ ↔ medianμ > med · right-tailed|μ−med| / σ = 0.38
σ × 1.349 ↔ IQRdiverges from normalratio = 1.28
range ↔ σwide tails (range > 4σ)range / σ = 4.21
μ = mean · σ = standard deviation · CV = coefficient of variation · skew (G₁): >0 right-tail · kurt (G₂, excess): >0 leptokurtic. 95% CI uses 1.96·SE around μ. σ × 1.349 ≈ IQR under normality.

§6 · Time-series structure

Regime & autocorrelation diagnostics
TIME-SERIES STRUCTUREREGIME: MEAN-REVERTING · ρ(1) -0.49 + ADF rejected
ρ(1) AUTOCORR-0.493negative · reversal
ρ(2) AUTOCORR-0.187lag-2 not significant
H · HURST EXPONENT0.501random-walk
OLS TREND · t-STAT+3.709significant @ α=0.05
HURST EXPONENT [0, 1]
H = 0.501RANDOM-WALK
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=1-0.493k=2-0.187k=3+0.487k=4-0.331k=5+0.0940+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 · ρ(1) -0.49 + ADF rejectedfrom Hurst + ρ(1) joint diagnosis
PREDICTABILITY · score 0.49high · clear structure|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCESIGNIFICANT @ 1% (|t|=3.71)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.

§7 · Microstructure

Market quality · two-sided pricing · activity
MICROSTRUCTURE · MARKET QUALITYPERFECT · ARB-FREE Σ=100.00%
OUTCOME ID#318
SLUGgermany-318
QUOTE TOKENUSDC
TWO-SIDED PRICING
PRIMARY · YES94.30¢implied prob 94.30% · decimal odds 1.06×
COUNTER · NO5.70¢implied prob 5.70% · decimal odds 17.55×
94.30¢
5.70¢
Σ-SIDES ARBITRAGE TEST
0%50%100% · target110%
Σ = 100.00% · |1 − Σ| = 0.000pp
24H ACTIVITY · LIQUIDITY
24H VOLUME62.72k contracts
MARKET QUALITYPERFECT · ARB-FREE Σ=100.00%|1−Σ| ≤ 0.5pp ⇒ fair · > 2pp ⇒ inefficient
PRICING SKEWFAVOURS YES (94¢)|primary − counter| = 0.886 · entropy 0.315 bits
LIQUIDITY DEPTHACTIVE100k+ deep · 10k+ active · 1k+ modest · 100+ thin
Σ-sides = primary + counter implied probabilities. Perfect arb-free Σ = 100%. |1−Σ| > 2pp suggests synthetic outright arbitrage.

§8 · Position sizing & edge analysis

Yes vs No · Kelly · entropy · arbitrage
FAIR MARKET · no edge
Yes 94.3%No 5.7%YES94.3%H = 0.315 / 1.00 bits
Probability scale (Yes)
0%25%50%
fair
75%100%
Implied decimal odds
Yes1.06×(94¢)No17.55×(6¢)
Kelly bet-size (% of bankroll) K* = 0.00%
K* full
0.00%
½K half
0.00%
¼K quarter
0.00%
Entropy H(p̂) = 0.315 bits (32% 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 where b = (1−p̂)/p̂ are the net odds implied by p̂. ½K and ¼K are industry-standard conservative fractions.

§9 · Resolution criteria

This outcome resolves to Yes if Germany wins the Game.

§10 · Hourly return heatmap

24-hour signed Δp grid · green = up · red = down
HOURLY RETURN HEATMAP · n=24 bars · best 1.36% · worst -1.42% · typical |Δ| 0.28%MILD BULLISH +0.20%BEST+1.36%05hWORST-1.42%06hTYPICAL |Δ|0.28%mean absoluteCUMULATIVE+0.20%Σ signed ΔSTREAK▬ 0flat-runASIA · 00-08 UTCμ +0.06% · Σ +0.48%EUROPE · 08-16 UTCμ -0.04% · Σ -0.29%US · 16-24 UTCμ +0.00% · Σ +0.00%CUMULATIVE Δ PATH · final +0.20%+1.36%-0.55%-0.18% · 13h-0.18% · 13h-0.18%13h-0.11% · 14h-0.11% · 14h-0.11%14h0.01% · 15h0.01% · 15h0.01%15h-0.27% · 16h-0.27% · 16h-0.27%16h0.00% · 17h0.00% · 17h·17h0.25% · 18h0.25% · 18h0.25%18h-0.03% · 19h-0.03% · 19h-0.03%19h0.06% · 20h0.06% · 20h0.06%20h0.05% · 21h0.05% · 21h0.05%21h-0.00% · 22h-0.00% · 22h-0.00%22h-0.07% · 23h-0.07% · 23h-0.07%23h0.09% · 00h0.09% · 00h0.09%00h-0.17% · 01h-0.17% · 01h-0.17%01h0.36% · 02h0.36% · 02h0.36%02h0.00% · 03h0.00% · 03h·03h0.00% · 04h0.00% · 04h·04h1.36% · 05h1.36% · 05h1.36%05h★ BEST-1.42% · 06h-1.42% · 06h-1.42%06h▼ WORST0.27% · 07h0.27% · 07h0.27%07h0.95% · 08h0.95% · 08h0.95%08h-0.83% · 09h-0.83% · 09h-0.83%09h-0.01% · 10h-0.01% · 10h-0.01%10h-0.13% · 11h-0.13% · 11h-0.13%11h0.00% · 12h0.00% · 12h·12hTIME PATTERNAsia-led (+0.48%)RUNSup max 2 · down max 3BREADTH38% up · 46% down · 17% flat
9 up bars · 11 down · best 1.36% · worst -1.42% · typical |Δ| 0.276%

§11 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=25 barsPROFITABLE +0.17%FINAL+0.17%MAX DD-1.42%RECOVERYONGOING · 7 barsMAX RUN-UP+1.36%UNDERWATER23/25 (92%)STREAK▬ 0EQUITY CURVE · end 1.0017 · peak 1.0136 · range [0.9945, 1.0136]1.01360.9945break-even = 1★ PEAK 1.0136UNDERWATER DRAWDOWN · max -1.42% · moderate0%-1.42%▼ TROUGH -1.42%TOP DRAWDOWN PERIODS · 2 total#1 -1.42%bar 19-25 · 7 bars · ONGOING#2 -0.55%bar 2-17 · 16 bars · recoveredDD SEVERITYmoderate (max -1.42%)RECOVERYongoing · 7 barsTIME UNDER WATER92% of session · 23/25 bars
final equity 1.0017 (0.17%) · max DD -1.42% · time-under-water 23/25 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +15 / −4 (79% positive) · μ=10.98 · σ=20.36PROFITABLE STRATEGYLAST 6.96 (-0.20σ vs μ)51.5425.770.00-25.77-51.54μ = 10.98-24.96-24.96-12.46-12.463.273.276.956.9551.5451.5436.5036.5025.7425.74-6.85-6.8522.1122.1117.5717.5717.7517.7545.6445.642.262.269.889.8818.8118.814.934.934.844.84-21.76-21.766.966.96v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest 6.957 · range [-24.96, 51.54] · μ 10.983 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=41.5768 · σ=35.5316 · range [5.6727, 98.3551] · R²=0.659 RISING +216.95%σ EXTREME 85.46%LAST 54.145598.355175.184552.013928.84335.6727μ = 41.5768max 98.3551min 5.6727dataMA(3)OLS R²=0.66μ lineμ ± σ bandmaxmin
latest 54.15% · range [5.67%, 98.36%] · μ 41.58% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +0 / −19 (0% positive) · μ=-0.341 · σ=0.197MEAN-REVERSIONLAST -0.317 (+0.12σ vs μ)0.5770.2880.000-0.288-0.577μ = -0.341-0.028-0.028-0.082-0.082-0.082-0.082-0.064-0.064-0.529-0.529-0.169-0.169-0.306-0.306-0.363-0.363-0.472-0.472-0.547-0.547-0.564-0.564-0.130-0.130-0.505-0.505-0.577-0.577-0.462-0.462-0.528-0.528-0.506-0.506-0.251-0.251-0.317-0.317v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.317 · |ρ| > 0.3 ⇒ regime with persistence (ρ > 0) or reversal (ρ < 0) · |ρ| ≤ 0.1 = consistent with random walk

§13 · Hypothesis tests (α = 0.05)

Formal inference at 5% significance
5 of 6 REJECT · mixed evidence5 reject·1 pass·α = 0.05
𝒩

Jarque-Bera

REJECT H₀***

H₀: Δp ~ Normal(μ, σ²)

STATISTIC
16.9488
p-VALUE (log scale)
0.0002
α
10⁻⁴10⁻³10⁻²10⁻¹1
p < α · rejection zonenon-normal · fat tails or skew present
ρ

Ljung-Box(h=5)

REJECT H₀**

H₀: No serial autocorrelation up to lag 5

STATISTIC
18.3697
p-VALUE (log scale)
0.0027
α
10⁻⁴10⁻³10⁻²10⁻¹1
p < α · rejection zoneserial dependence detected
Ψ

Dickey-Fuller (τ_μ)

REJECT H₀*

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

STATISTIC
-3.0665
p-VALUE (log scale)
0.0301
α
10⁻⁴10⁻³10⁻²10⁻¹1
p < α · rejection zonestationary · mean-reverting (crit ≈ -2.86)
±

Wald-Wolfowitz runs

FAIL TO REJECTns

H₀: Sign sequence of Δ is random

STATISTIC
0.9752
p-VALUE (log scale)
0.3295
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedsigns appear random (13 runs)
χ

KPSS (μ stationarity)

REJECT H₀*

H₀: p IS level-stationary

STATISTIC
0.6385
p-VALUE (log scale)
0.0191
α
10⁻⁴10⁻³10⁻²10⁻¹1
p < α · rejection zonenon-stationary (crit 0.463)
χ

Variance ratio q=3

REJECT H₀*

H₀: Δp is a random walk · VR = 1

STATISTIC
-2.5381
p-VALUE (log scale)
0.0111
α
10⁻⁴10⁻³10⁻²10⁻¹1
p < α · rejection zoneVR 0.228 → mean-reverting
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).

§14 · Spectral analysis (DFT periodogram)

Power spectrum of Δp · ‖X̂(k)‖²/n
n=12 bins · noise floor μ=2.47e-5 · top T=2.67h (28.0%) · top-3 cover 66.4%BROADBAND · 4 CYCLEScumulative energy ↗ (4 bins above 2× noise)8.3e-56.2e-54.2e-52.1e-50.0e+0μ noise floor2× noise (significance)period 24.0 · power 6.56e-6 · 2.2% energyperiod 24.0 · power 6.56e-6 · 2.2% energyperiod 12.0 · power 3.74e-6 · 1.3% energyperiod 12.0 · power 3.74e-6 · 1.3% energyperiod 8.0 · power 1.92e-6 · 0.6% energyperiod 8.0 · power 1.92e-6 · 0.6% energyperiod 6.0 · power 5.87e-7 · 0.2% energyperiod 6.0 · power 5.87e-7 · 0.2% energyperiod 4.8 · power 8.69e-6 · 2.9% energyperiod 4.8 · power 8.69e-6 · 2.9% energyperiod 4.0 · power 1.30e-5 · 4.4% energyperiod 4.0 · power 1.30e-5 · 4.4% energyperiod 3.4 · power 5.47e-5 · 18.5% energyperiod 3.4 · power 5.47e-5 · 18.5% energyperiod 3.0 · power 5.89e-5 · 19.9% energyperiod 3.0 · power 5.89e-5 · 19.9% energyperiod 2.7 · power 8.30e-5 · 28.0% energyperiod 2.7 · power 8.30e-5 · 28.0% energyperiod 2.4 · power 5.37e-5 · 18.1% energyperiod 2.4 · power 5.37e-5 · 18.1% energyperiod 2.2 · power 1.06e-5 · 3.6% energyperiod 2.2 · power 1.06e-5 · 3.6% energyperiod 2.0 · power 5.64e-7 · 0.2% energyperiod 2.0 · power 5.64e-7 · 0.2% energy50% by T=3.0h#1 dominantT=2.67h#2T=3.00h#3T=3.43hT=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 ≈ 2.67h (freq 0.375) · concentrates 28.0% of total energy · Σ|X̂|²/n = 2.960e-4

▸ Depth section using sovereign-store price series (5000 bars · effective 5257847 bars/year) — annualisation reflects native polling cadence, not upstream timeframes.

§15 · 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 →

§16 · Horizon returns

Returns · per bar / per day / per horizon
Horizon 7.0 d · σ/bar 0.022pp · expected |Δp| over horizon 0.28ppterminal variance p(1−p) = 0.0537 · n = 5000n = 5000
μ per bar
+0.000pp
average Δp · drift
σ per bar
0.022pp
one-bar volatility · logit-free
Per-day movedaily
0.11pp
σ × √24
Per-horizon move7d
0.28pp
σ × √168
Terminal variancebinary
0.0537
p(1−p) at resolution
Current pricep
94.3¢
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.

§17 · Tail risk

VaR · ES · max drawdown
VaR₉₅ 0.04pp · ES₉₅ 0.04pp · method parametric · drift-correcteddrift +0.000pp/bar · quantised: yes · median step 0.01pp · unique ratio 0.02n = 5000
VaR 95%
0.04pp
1.645·σ (parametric) of Δp
ES 95%
0.04pp
mean of the tail
Max drawdown
1.2pp
peak 95.4¢ → trough 94.3¢
Median step
0.01pp
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.

§18 · Odds conversion

Odds conversion · every dialect a bettor thinks in
Implied probabilityP
94.3%
= price
Decimal oddsEU
1.060
total return per $1
AmericanUS
-1655
risk $1655 to win $100
FractionalUK
0.06 / 1
profit per $1 risked
Profit per $100stake
+$6.04
clean dollar framing
-1000-5000+500+1000020406080100you · 94.3%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.

§19 · Binary entropy

Binary entropy · uncertainty as bits of information
Market entropyH(p)
0.315 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.315 bit
Δ +0.000 bit vs market
Surprise · YES−log₂ p
0.08 bit
self-information
Surprise · NO−log₂(1−p)
4.13 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.

§20 · 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

Snapshot fetched
2026-06-14 12:23:46 UTC
Snapshot age
3.3s
Page rendered
2026-06-14 12:23:49 UTC
History points
25 closes · 25 counter-side closes
Storage policy
no persistence — fetched on every request
SHA-256 attestation
33e3054228080a2dced815a62ffa5fd3e2da67b307b7eba05a1b07bf0fbc712e · deterministic hash of source snapshot
Open data licence
CC0 / public domain

§∞-2 · Related markets · explore more

Also see: /arb opportunities · RSS feed

Risk metrics

sovereign store · 5,000 barsperiods/year ≈ 5.26M
Realized vol (annualised)
52.91%
σ per bar = 0.000231
Mean return (annualised)
309.40%
μ per bar = 0.000001
Sharpe (rf=0)
5.85
annualised; risk-free assumed zero
Max drawdown
1.15%
peak 0.95 → trough 0.94 over 2088 bars

/api/asset/hl-pred-germany-318/risk · same metrics, JSON