HYPERLIQUID · HIP-3 PREDICTION MARKET · OUTCOME #190

Germany

Primary · Yes
6.8¢
Counter · No
93.2¢

▸ Advanced metrics · M2M bundle

hyperliquid · pred-germany-190 · fresh · feed 1s old
24h sparkline · 60 pts
realized vol (ann.)
12.55%
max drawdown
3.47%
sharpe
ulcer index
2.16%
RMS drawdown
pain index
1.67%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
2.82%
cond. drawdown
gain/pain
0.21
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
0.21
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-190/bundle · venue execution: hyperliquid
LIVEPOLL0SRCFRESH1.4s--:--:-- 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 mid · live
6.8¢
No mid · live
93.2¢
Yes · live 24h price
n=24 · μ=0.0683 · σ=0.0056 · range [0.0611, 0.0814] · R²=0.007 RISING +8.70%σ HIGH 8.16%LAST 0.06650.08140.07630.07120.06620.0611μ = 0.0683max 0.0814min 0.0611dataMA(4)OLS R²=0.01μ lineμ ± σ bandmaxminlive endpoint
24 bars · close 6.65¢ · 24h +8.70%
Probability split · live
Yes 6.8%No 93.2%NO93.2%93.17¢ · odds 1/1.07
Σ 100.00% · fair
Σ-sides total = 100.00% (tight rounding)
H(p) entropy = 0.359 / 1.00 bits (36%) · informative — one side favoured
Yes
6.8%6.8¢14.65× +0.00pp
No
93.2%93.2¢1.07× +0.00pp
primary vs counter implied %
Volume · per-hour contracts · live
n=24 · Σ=85,898 · μ=3579.1 · σ=7249.8 · CV=2.03BURSTY · concentratedcumulative energy ↗ · 50% by h=307,26314,52721,79029,053μ = 357929,05350%h1h5h9h13h17h21#1 peak#2-3> μactivequietμ linecum energy
Σ 85898 · peak 29053
Live numerics · pulse on poll
LIVE NUMERICS8 metrics·POLL 0
snapshot age
1.4s
Yes mid
6.828¢
No mid
93.172¢
ΣΣ sides
100.00%
Σarb gap |1 − Σ|
0.00pp
Δ24h candles
24 bars
Δ24h close
6.65¢
Δ24h change
+8.70%

§1 · 24h time-series

Mid price · Yes (24 hourly observations)
n=24 · μ=0.0683 · σ=0.0056 · range [0.0611, 0.0814] · R²=0.007 RISING +8.70%σ HIGH 8.16%LAST 0.06650.08140.07630.07120.06620.0611μ = 0.0683max 0.0814min 0.0611dataMA(4)OLS R²=0.01μ lineμ ± σ bandmaxmin
range [6.11¢, 8.14¢] · span 2.03pp · MA(5) latest 6.95¢
Candlestick · open / high / low / close per hour
n=24 · up 19 · down 5 (79% up) · range [0.0611, 0.0814] · σ=0.0056 · CV=0.08 · bodyµ=39%BEARISH -5.66%CLOSE 0.0665 vs OPEN 0.0705 (-5.66%)&#9660; CLOSE 0.06650.08140.07630.07120.06610.0611μ close = 0.0683O0.070 H0.070 L0.061 C0.061 (-13.21%)O0.070 H0.070 L0.061 C0.061 (-13.21%)33.1%O0.061 H0.081 L0.061 C0.081 (+33.08%)O0.061 H0.081 L0.061 C0.081 (+33.08%)O0.071 H0.071 L0.061 C0.071 (-0.14%)O0.071 H0.071 L0.061 C0.071 (-0.14%)O0.066 H0.066 L0.061 C0.061 (-7.56%)O0.066 H0.066 L0.061 C0.061 (-7.56%)O0.064 H0.069 L0.061 C0.066 (+4.18%)O0.064 H0.069 L0.061 C0.066 (+4.18%)O0.061 H0.062 L0.061 C0.062 (+1.47%)O0.061 H0.062 L0.061 C0.062 (+1.47%)O0.067 H0.071 L0.061 C0.064 (-5.09%)O0.067 H0.071 L0.061 C0.064 (-5.09%)O0.061 H0.068 L0.061 C0.068 (+11.46%)O0.061 H0.068 L0.061 C0.068 (+11.46%)O0.071 H0.071 L0.061 C0.065 (-8.56%)O0.071 H0.071 L0.061 C0.065 (-8.56%)O0.065 H0.065 L0.065 C0.065 (+0.00%)O0.065 H0.065 L0.065 C0.065 (+0.00%)O0.065 H0.065 L0.065 C0.065 (+0.00%)O0.065 H0.065 L0.065 C0.065 (+0.00%)O0.075 H0.075 L0.075 C0.075 (+0.00%)O0.075 H0.075 L0.075 C0.075 (+0.00%)O0.075 H0.075 L0.075 C0.075 (+0.00%)O0.075 H0.075 L0.075 C0.075 (+0.00%)O0.065 H0.075 L0.065 C0.075 (+15.33%)O0.065 H0.075 L0.065 C0.075 (+15.33%)O0.075 H0.075 L0.075 C0.075 (+0.00%)O0.075 H0.075 L0.075 C0.075 (+0.00%)O0.065 H0.065 L0.065 C0.065 (+0.00%)O0.065 H0.065 L0.065 C0.065 (+0.00%)O0.065 H0.065 L0.065 C0.065 (+0.00%)O0.065 H0.065 L0.065 C0.065 (+0.00%)O0.065 H0.065 L0.065 C0.065 (+0.00%)O0.065 H0.065 L0.065 C0.065 (+0.00%)O0.065 H0.065 L0.065 C0.065 (+0.00%)O0.065 H0.065 L0.065 C0.065 (+0.00%)O0.065 H0.075 L0.065 C0.075 (+15.40%)O0.065 H0.075 L0.065 C0.075 (+15.40%)O0.065 H0.075 L0.065 C0.075 (+15.40%)O0.065 H0.075 L0.065 C0.075 (+15.40%)O0.065 H0.065 L0.065 C0.065 (+0.00%)O0.065 H0.065 L0.065 C0.065 (+0.00%)O0.065 H0.065 L0.065 C0.065 (+0.00%)O0.065 H0.065 L0.065 C0.065 (+0.00%)O0.066 H0.066 L0.066 C0.066 (+0.00%)O0.066 H0.066 L0.066 C0.066 (+0.00%)#1#5#9#13#17#21up bar (C≥O)down bar (C<O)MA(4) closeμ closedoji (~no body)biggest body
24 bars · last close 6.65¢
Hourly traded contracts
n=24 · Σ=85,898 · μ=3579.1 · σ=7249.8 · CV=2.03BURSTY · concentratedcumulative energy &nearr; · 50% by h=307,26314,52721,79029,053μ = 35791,790 · 6.2% peak1,790 · 6.2% peak29,05329,053 · 100.0% peak29,053 · 100.0% peak19,242 · 66.2% peak19,242 · 66.2% peak924 · 3.2% peak924 · 3.2% peak8,571 · 29.5% peak8,571 · 29.5% peak6 · 0.0% peak6 · 0.0% peak8,757 · 30.1% peak8,757 · 30.1% peak1,611 · 5.5% peak1,611 · 5.5% peak2,311 · 8.0% peak2,311 · 8.0% peak2 · 0.0% peak2 · 0.0% peak4 · 0.0% peak4 · 0.0% peak713 · 2.5% peak713 · 2.5% peak0 · 0.0% peak0 · 0.0% peak1,037 · 3.6% peak1,037 · 3.6% peak0 · 0.0% peak0 · 0.0% peak1 · 0.0% peak1 · 0.0% peak4 · 0.0% peak4 · 0.0% peak5 · 0.0% peak5 · 0.0% peak2 · 0.0% peak2 · 0.0% peak11,757 · 40.5% peak11,757 · 40.5% peak102 · 0.4% peak102 · 0.4% peak3 · 0.0% peak3 · 0.0% peak1 · 0.0% peak1 · 0.0% peak2 · 0.0% peak2 · 0.0% peak50%#1#5#9#13#17#21#1 peak#2-3> μactivequietμ linecum energy
Σ vol = 85898 · peak 29053 · mean 3579.1

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

Histogram of Δp
n=23 · 12 bins · μ=0.0008 · σ=0.0063 · skew=0.58 (right-skewed) · kurt=1.21 (leptokurtic (fat tails))1296304-0.90ppbin -0.90pp · n=4 · 33.3% peakbin -0.90pp · n=4 · 33.3% peak-0.64pp2-0.39ppbin -0.39pp · n=2 · 16.7% peakbin -0.39pp · n=2 · 16.7% peak-0.13pp120.12ppbin 0.12pp · n=12 · 100.0% peakbin 0.12pp · n=12 · 100.0% peak10.37ppbin 0.37pp · n=1 · 8.3% peakbin 0.37pp · n=1 · 8.3% peak10.63ppbin 0.63pp · n=1 · 8.3% peakbin 0.63pp · n=1 · 8.3% peak20.88ppbin 0.88pp · n=2 · 16.7% peakbin 0.88pp · n=2 · 16.7% peak1.13pp1.39pp1.64pp11.90ppbin 1.90pp · n=1 · 8.3% peakbin 1.90pp · n=1 · 8.3% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=23 · positive 7 · negative 7
Q-Q plot · standardised Δp vs N(0,1)
n=23 · skew=0.76 · kurt=1.36 · near 13 / mid 10 / far 0 · OLS slope=0.96 intercept=-0.00APPROXIMATELY NORMALMILDLY HEAVY UPPERLOWER 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=24RIGHT-SKEWED (G₁=0.68)
μ MEAN6.83¢95% CI: [6.60¢, 7.05¢]
σ STD DEV0.56ppσ² = 0.310 · CV = 8.16%
med MEDIAN6.54¢Q₁ 6.50¢ · Q₃ 7.50¢
FIVE-NUMBER SUMMARY · BOX PLOT
min 6.11¢Q₁ 6.50¢med 6.54¢Q₃ 7.50¢max 8.14¢μ
SKEWNESS · G₁0.684right-skewed
−3−10+1+3
EXCESS KURTOSIS · G₂-0.810mesokurtic · normal-like
−30+2+4+6
μ ↔ medianμ > med · right-tailed|μ−med| / σ = 0.51
σ × 1.349 ↔ IQRdiverges from normalratio = 0.75
range ↔ σconcentrated (range < 4σ)range / σ = 3.64
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 · ADF rejects unit root
ρ(1) AUTOCORR-0.174within white-noise band
ρ(2) AUTOCORR-0.308lag-2 not significant
H · HURST EXPONENT0.961strongly persistent
OLS TREND · t-STAT+0.395fails 5% test
HURST EXPONENT [0, 1]
H = 0.961STRONGLY 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=1-0.174k=2-0.308k=3+0.123k=4-0.287k=5+0.0350+1−1+0.420.42+ momentum (ρ > +0.42)− reversal (ρ < −0.42)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 SIGNIFICANCENOT SIGNIFICANT (|t|=0.40)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#190
SLUGgermany-190
QUOTE TOKENUSDC
TWO-SIDED PRICING
PRIMARY · YES6.83¢implied prob 6.83% · decimal odds 14.65×
COUNTER · NO93.17¢implied prob 93.17% · decimal odds 1.07×
6.83¢
93.17¢
Σ-SIDES ARBITRAGE TEST
0%50%100% · target110%
Σ = 100.00% · |1 − Σ| = 0.000pp
24H ACTIVITY · LIQUIDITY
24H VOLUME85.90k contracts
MARKET QUALITYPERFECT · ARB-FREE Σ=100.00%|1−Σ| ≤ 0.5pp ⇒ fair · > 2pp ⇒ inefficient
PRICING SKEWFAVOURS NO (93¢)|primary − counter| = 0.863 · entropy 0.359 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 6.8%No 93.2%YES6.8%H = 0.359 / 1.00 bits
Probability scale (Yes)
0%25%50%
fair
75%100%
Implied decimal odds
Yes14.65×(7¢)No1.07×(93¢)
Kelly bet-size (% of bankroll) K* = 0.00%
K* full
0.00%
½K half
0.00%
¼K quarter
0.00%
Entropy H(p̂) = 0.359 bits (36% 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 is officially declared the 2026 FIFA World Cup champion.

§10 · Hourly return heatmap

24-hour signed Δp grid · green = up · red = down
HOURLY RETURN HEATMAP · n=23 bars · best 2.02% · worst -1.02% · typical |Δ| 0.43%MILD BULLISH +0.53%BEST+2.02%12hWORST-1.02%13hTYPICAL |Δ|0.43%mean absoluteCUMULATIVE+0.53%Σ signed ΔSTREAK↗ 1up-runASIA · 00-08 UTCμ +0.00% · Σ +0.00%EUROPE · 08-16 UTCμ -0.05% · Σ -0.34%US · 16-24 UTCμ +0.11% · Σ +0.88%CUMULATIVE Δ PATH · final +0.53%+2.02%-0.01%2.02% · 12h2.02% · 12h2.02%12h★ BEST-1.02% · 13h-1.02% · 13h-1.02%13h▼ WORST-1.01% · 14h-1.01% · 14h-1.01%14h0.52% · 15h0.52% · 15h0.52%15h-0.43% · 16h-0.43% · 16h-0.43%16h0.17% · 17h0.17% · 17h0.17%17h0.44% · 18h0.44% · 18h0.44%18h-0.31% · 19h-0.31% · 19h-0.31%19h0.00% · 20h0.00% · 20h·20h0.00% · 21h0.00% · 21h·21h1.00% · 22h1.00% · 22h1.00%22h0.00% · 23h0.00% · 23h·23h-0.00% · 00h-0.00% · 00h-0.00%00h0.00% · 01h0.00% · 01h·01h-1.00% · 02h-1.00% · 02h-1.00%02h0.00% · 03h0.00% · 03h·03h0.00% · 04h0.00% · 04h·04h0.00% · 05h0.00% · 05h·05h1.00% · 06h1.00% · 06h1.00%06h0.00% · 07h0.00% · 07h·07h-0.96% · 08h-0.96% · 08h-0.96%08h0.00% · 09h0.00% · 09h·09h0.10% · 10h0.10% · 10h0.10%10hTIME PATTERNUS-led (+0.88%)RUNSup max 2 · down max 2BREADTH30% up · 30% down · 39% flat
7 up bars · 7 down · best 2.02% · worst -1.02% · typical |Δ| 0.435%

§11 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=24 barsPROFITABLE +0.48%FINAL+0.48%MAX DD-2.02%RECOVERYONGOING · 22 barsMAX RUN-UP+2.02%UNDERWATER22/24 (92%)STREAK↗ 1EQUITY CURVE · end 1.0048 · peak 1.0202 · range [0.9996, 1.0202]1.02020.9996break-even = 1★ PEAK 1.0202UNDERWATER DRAWDOWN · max -2.02% · moderate0%-2.02%▼ TROUGH -2.02%TOP DRAWDOWN PERIODS · 1 total#1 -2.02%bar 3-24 · 22 bars · ONGOINGDD SEVERITYmoderate (max -2.02%)RECOVERYongoing · 22 barsTIME UNDER WATER92% of session · 22/24 bars
final equity 1.0048 (0.48%) · max DD -2.02% · time-under-water 22/24 bars

§12 · Rolling-window statistics (w = 5 bars)

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +12 / −6 (63% positive) · μ=2.54 · σ=29.72MIXED EDGELAST 3.81 (+0.04σ vs μ)47.5923.800.00-23.80-47.59μ = 2.541.311.31-47.59-47.59-8.67-8.6717.1817.18-6.69-6.6920.4720.4741.5241.5225.8025.8041.6041.6041.6041.600.000.00-42.12-42.12-42.12-42.12-41.86-41.860.130.1341.8641.861.001.001.001.003.813.81v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest 3.815 · range [-47.59, 41.86] · μ 2.538 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=53.5664 · σ=20.5721 · range [25.6758, 120.2283] · R²=0.012 FALLING -45.75%σ EXTREME 38.40%LAST 65.2186120.228396.590172.952049.313925.6758μ = 53.5664max 120.2283min 25.6758dataMA(3)OLS R²=0.01μ lineμ ± σ bandmaxmin
latest 65.22% · range [25.68%, 120.23%] · μ 53.57% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +1 / −17 (5% positive) · μ=-0.205 · σ=0.156MEAN-REVERSIONLAST 0.014 (+1.40σ vs μ)0.5090.2550.000-0.255-0.509μ = -0.205-0.267-0.267-0.123-0.123-0.438-0.438-0.509-0.509-0.256-0.256-0.240-0.240-0.113-0.113-0.157-0.157-0.298-0.298-0.296-0.2960.0000.000-0.304-0.304-0.303-0.303-0.300-0.300-0.000-0.000-0.300-0.300-0.004-0.004-0.000-0.0000.0140.014v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest 0.014 · |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
2 of 6 REJECT · mixed evidence2 reject·4 pass·α = 0.05
𝒩

Jarque-Bera

REJECT H₀*

H₀: Δp ~ Normal(μ, σ²)

STATISTIC
6.4856
p-VALUE (log scale)
0.0391
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
6.3561
p-VALUE (log scale)
0.2723
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedconsistent with white noise
Ψ

Dickey-Fuller (τ_μ)

REJECT H₀**

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

STATISTIC
-3.8815
p-VALUE (log scale)
0.0026
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
1.6690
p-VALUE (log scale)
0.0951
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedsigns appear random (11 runs)
χ

KPSS (μ stationarity)

FAIL TO REJECTns

H₀: p IS level-stationary

STATISTIC
0.0886
p-VALUE (log scale)
0.5000
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedstationary not rejected (crit 0.463)
χ

Variance ratio q=2

FAIL TO REJECTns

H₀: Δp is a random walk · VR = 1

STATISTIC
-1.6171
p-VALUE (log scale)
0.1059
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 0.663 ≈ 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).

§14 · Spectral analysis (DFT periodogram)

Power spectrum of Δp · ‖X̂(k)‖²/n
n=11 bins · noise floor μ=4.93e-5 · top T=2.56h (27.1%) · top-3 cover 62.4%2 SIGNIFICANT CYCLEScumulative energy ↗ (2 bins above 2× noise)1.5e-41.1e-47.4e-53.7e-50.0e+0μ noise floor2× noise (significance)period 23.0 · power 2.65e-7 · 0.0% energyperiod 23.0 · power 2.65e-7 · 0.0% energyperiod 11.5 · power 2.23e-5 · 4.1% energyperiod 11.5 · power 2.23e-5 · 4.1% energyperiod 7.7 · power 1.01e-5 · 1.9% energyperiod 7.7 · power 1.01e-5 · 1.9% energyperiod 5.8 · power 1.28e-4 · 23.6% energyperiod 5.8 · power 1.28e-4 · 23.6% energyperiod 4.6 · power 6.35e-5 · 11.7% energyperiod 4.6 · power 6.35e-5 · 11.7% energyperiod 3.8 · power 4.97e-5 · 9.2% energyperiod 3.8 · power 4.97e-5 · 9.2% energyperiod 3.3 · power 6.24e-5 · 11.5% energyperiod 3.3 · power 6.24e-5 · 11.5% energyperiod 2.9 · power 2.91e-5 · 5.4% energyperiod 2.9 · power 2.91e-5 · 5.4% energyperiod 2.6 · power 1.47e-4 · 27.1% energyperiod 2.6 · power 1.47e-4 · 27.1% energyperiod 2.3 · power 1.04e-5 · 1.9% energyperiod 2.3 · power 1.04e-5 · 1.9% energyperiod 2.1 · power 1.96e-5 · 3.6% energyperiod 2.1 · power 1.96e-5 · 3.6% energy50% by T=3.8h#1 dominantT=2.56h#2T=5.75h#3T=4.60hT=3hT=4hT=6hT=8hT=12hT=16h← 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 ≈ 2.56h (freq 0.391) · concentrates 27.1% of total energy · Σ|X̂|²/n = 5.427e-4

▸ Depth section using sovereign-store price series (5000 bars · effective 5256096 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 0.028pp · expected |Δp| over horizon 0.37ppterminal variance p(1−p) = 0.0636 · n = 5000n = 5000
μ per bar
+0.000pp
average Δp · drift
σ per bar
0.028pp
one-bar volatility · logit-free
Per-day movedaily
0.14pp
σ × √24
Per-horizon move7d
0.37pp
σ × √168
Terminal variancebinary
0.0636
p(1−p) at resolution
Current pricep
6.8¢
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 0.05pp · ES₉₅ 0.06pp · method parametric · drift-correcteddrift +0.000pp/bar · quantised: yes · median step 0.00pp · unique ratio 0.04n = 5000
VaR 95%
0.05pp
1.645·σ (parametric) of Δp
ES 95%
0.06pp
mean of the tail
Max drawdown
21.1pp
peak 8.6¢ → trough 6.8¢
Median step
0.00pp
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
6.8%
= price
Decimal oddsEU
14.647
total return per $1
AmericanUS
+1365
$100 wins $1365
FractionalUK
13.65 / 1
profit per $1 risked
Profit per $100stake
+$1364.66
clean dollar framing
-1000-5000+500+1000020406080100you · 6.8%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)
0.359 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.359 bit
Δ +0.000 bit vs market
Surprise · YES−log₂ p
3.87 bit
self-information
Surprise · NO−log₂(1−p)
0.10 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
2026-06-20 11:41:27 UTC
Snapshot age
1.4s
Page rendered
2026-06-20 11:41:29 UTC
History points
24 closes · 24 counter-side closes
Storage policy
no persistence — fetched on every request
SHA-256 attestation
4b748537c4564ccaedbf370a3adf55db9de1abd32b4d79f81444aa9efe885431 · 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)
939.98%
σ per bar = 0.004100
Mean return (annualised)
19755.11%
μ per bar = 0.000038
Sharpe (rf=0)
21.02
annualised; risk-free assumed zero
Max drawdown
21.06%
peak 0.09 → trough 0.07 over 2492 bars

/api/asset/hl-pred-germany-190/risk · same metrics, JSON