HYPERLIQUID · HIP-3 PREDICTION MARKET · OUTCOME #298

Belgium

Primary · Yes
59.7¢
Counter · No
40.3¢

▸ Advanced metrics · M2M bundle

hyperliquid · pred-belgium-298 · fresh · feed 2s old
24h sparkline · 60 pts
realized vol (ann.)
29.13%
max drawdown
0.86%
sharpe
ulcer index
0.67%
RMS drawdown
pain index
0.53%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
0.86%
cond. drawdown
gain/pain
0.79
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
0.79
upside/downside
roll spread
0.6 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-belgium-298/bundle · venue execution: hyperliquid
LIVEPOLL0SRCFRESH1.9s--:--:-- 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
59.7¢
No mid · live
40.3¢
Yes · live 24h price
n=24 · μ=0.6033 · σ=0.0112 · range [0.5698, 0.6134] · R²=0.012 FALLING -1.49%σ NORMAL 1.86%LAST 0.60400.61340.60250.59160.58070.5698μ = 0.6033max 0.6134min 0.5698dataMA(4)OLS R²=0.01μ lineμ ± σ bandmaxminlive endpoint
24 bars · close 60.40¢ · 24h -1.49%
Probability split · live
Yes 59.7%No 40.3%YES59.7%59.65¢ · odds 1/1.68
Σ 100.00% · fair
Σ-sides total = 100.00% (tight rounding)
H(p) entropy = 0.973 / 1.00 bits (97%) · max uncertainty (~50/50)
Yes
59.7%59.7¢1.68× +0.00pp
No
40.3%40.3¢2.48× +0.00pp
primary vs counter implied %
Volume · per-hour contracts · live
n=24 · Σ=6,455 · μ=269.0 · σ=523.0 · CV=1.94BURSTY · concentratedcumulative energy ↗ · 50% by h=1805581,1161,6742,232μ = 2692,23250%h1h5h9h13h17h21#1 peak#2-3> μactivequietμ linecum energy
Σ 6455 · peak 2232
Live numerics · pulse on poll
LIVE NUMERICS8 metrics·POLL 0
snapshot age
1.9s
Yes mid
59.653¢
No mid
40.347¢
ΣΣ sides
100.00%
Σarb gap |1 − Σ|
0.00pp
Δ24h candles
24 bars
Δ24h close
60.40¢
Δ24h change
-1.49%

§1 · 24h time-series

Mid price · Yes (24 hourly observations)
n=24 · μ=0.6033 · σ=0.0112 · range [0.5698, 0.6134] · R²=0.012 FALLING -1.49%σ NORMAL 1.86%LAST 0.60400.61340.60250.59160.58070.5698μ = 0.6033max 0.6134min 0.5698dataMA(4)OLS R²=0.01μ lineμ ± σ bandmaxmin
range [56.98¢, 61.34¢] · span 4.36pp · MA(5) latest 60.18¢
Candlestick · open / high / low / close per hour
n=24 · up 21 · down 3 (88% up) · range [0.5698, 0.6134] · σ=0.0112 · CV=0.02 · bodyµ=23%BEARISH -1.49%CLOSE 0.6040 vs OPEN 0.6131 (-1.49%)&#9660; CLOSE 0.60400.61340.60250.59160.58070.5698μ close = 0.6033O0.613 H0.613 L0.613 C0.613 (+0.00%)O0.613 H0.613 L0.613 C0.613 (+0.00%)O0.613 H0.613 L0.613 C0.613 (+0.00%)O0.613 H0.613 L0.613 C0.613 (+0.00%)O0.610 H0.610 L0.610 C0.610 (+0.00%)O0.610 H0.610 L0.610 C0.610 (+0.00%)O0.610 H0.610 L0.610 C0.610 (+0.00%)O0.610 H0.610 L0.610 C0.610 (+0.00%)O0.610 H0.610 L0.610 C0.610 (+0.00%)O0.610 H0.610 L0.610 C0.610 (+0.00%)O0.610 H0.610 L0.604 C0.604 (-0.95%)O0.610 H0.610 L0.604 C0.604 (-0.95%)O0.604 H0.605 L0.604 C0.605 (+0.05%)O0.604 H0.605 L0.604 C0.605 (+0.05%)O0.605 H0.605 L0.605 C0.605 (+0.00%)O0.605 H0.605 L0.605 C0.605 (+0.00%)-5.3%O0.602 H0.602 L0.570 C0.570 (-5.28%)O0.602 H0.602 L0.570 C0.570 (-5.28%)O0.570 H0.570 L0.570 C0.570 (+0.00%)O0.570 H0.570 L0.570 C0.570 (+0.00%)O0.585 H0.607 L0.585 C0.607 (+3.84%)O0.585 H0.607 L0.585 C0.607 (+3.84%)O0.607 H0.607 L0.607 C0.607 (+0.00%)O0.607 H0.607 L0.607 C0.607 (+0.00%)O0.607 H0.607 L0.607 C0.607 (+0.00%)O0.607 H0.607 L0.607 C0.607 (+0.00%)O0.607 H0.607 L0.607 C0.607 (+0.00%)O0.607 H0.607 L0.607 C0.607 (+0.00%)O0.603 H0.603 L0.603 C0.603 (+0.00%)O0.603 H0.603 L0.603 C0.603 (+0.00%)O0.606 H0.606 L0.606 C0.606 (+0.00%)O0.606 H0.606 L0.606 C0.606 (+0.00%)O0.606 H0.606 L0.606 C0.606 (+0.00%)O0.606 H0.606 L0.606 C0.606 (+0.00%)O0.606 H0.607 L0.606 C0.607 (+0.15%)O0.606 H0.607 L0.606 C0.607 (+0.15%)O0.607 H0.607 L0.607 C0.607 (+0.00%)O0.607 H0.607 L0.607 C0.607 (+0.00%)O0.606 H0.606 L0.606 C0.606 (+0.00%)O0.606 H0.606 L0.606 C0.606 (+0.00%)O0.590 H0.590 L0.590 C0.590 (+0.00%)O0.590 H0.590 L0.590 C0.590 (+0.00%)O0.590 H0.606 L0.590 C0.606 (+2.64%)O0.590 H0.606 L0.590 C0.606 (+2.64%)O0.606 H0.606 L0.589 C0.604 (-0.27%)O0.606 H0.606 L0.589 C0.604 (-0.27%)O0.604 H0.604 L0.604 C0.604 (+0.00%)O0.604 H0.604 L0.604 C0.604 (+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 60.40¢
Hourly traded contracts
n=24 · Σ=6,455 · μ=269.0 · σ=523.0 · CV=1.94BURSTY · concentratedcumulative energy &nearr; · 50% by h=1805581,1161,6742,232μ = 2690 · 0.0% peak0 · 0.0% peak17 · 0.8% peak17 · 0.8% peak18 · 0.8% peak18 · 0.8% peak0 · 0.0% peak0 · 0.0% peak18 · 0.8% peak18 · 0.8% peak986 · 44.2% peak986 · 44.2% peak75 · 3.4% peak75 · 3.4% peak100 · 4.5% peak100 · 4.5% peak819 · 36.7% peak819 · 36.7% peak0 · 0.0% peak0 · 0.0% peak61 · 2.7% peak61 · 2.7% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak30 · 1.3% peak30 · 1.3% peak824 · 36.9% peak824 · 36.9% peak0 · 0.0% peak0 · 0.0% peak755 · 33.8% peak755 · 33.8% peak0 · 0.0% peak0 · 0.0% peak21 · 0.9% peak21 · 0.9% peak18 · 0.8% peak18 · 0.8% peak331 · 14.8% peak331 · 14.8% peak2,2322,232 · 100.0% peak2,232 · 100.0% peak150 · 6.7% peak150 · 6.7% peak50%#1#5#9#13#17#21#1 peak#2-3> μactivequietμ linecum energy
Σ vol = 6455 · peak 2232 · mean 269.0

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

Histogram of Δp
n=23 · 12 bins · μ=-0.0013 · σ=0.0110 · skew=0.70 (right-skewed) · kurt=4.78 (leptokurtic (fat tails))16128401-3.17ppbin -3.17pp · n=1 · 6.3% peakbin -3.17pp · n=1 · 6.3% peak-2.57pp-1.97pp1-1.36ppbin -1.36pp · n=1 · 6.3% peakbin -1.36pp · n=1 · 6.3% peak2-0.76ppbin -0.76pp · n=2 · 12.5% peakbin -0.76pp · n=2 · 12.5% peak16-0.16ppbin -0.16pp · n=16 · 100.0% peakbin -0.16pp · n=16 · 100.0% peak10.45ppbin 0.45pp · n=1 · 6.3% peakbin 0.45pp · n=1 · 6.3% peak1.05pp11.66ppbin 1.66pp · n=1 · 6.3% peakbin 1.66pp · n=1 · 6.3% peak2.26pp2.86pp13.47ppbin 3.47pp · n=1 · 6.3% peakbin 3.47pp · n=1 · 6.3% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=23 · positive 8 · negative 8
Q-Q plot · standardised Δp vs N(0,1)
n=23 · skew=0.40 · kurt=5.13 · near 8 / mid 14 / far 1 · OLS slope=0.84 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=24LEPTOKURTIC · FAT TAILS (G₂=3.78)
μ MEAN60.33¢95% CI: [59.88¢, 60.78¢]
σ STD DEV1.12ppσ² = 1.258 · CV = 1.86%
med MEDIAN60.63¢Q₁ 60.42¢ · Q₃ 60.75¢
FIVE-NUMBER SUMMARY · BOX PLOT
min 56.98¢Q₁ 60.42¢med 60.63¢Q₃ 60.75¢max 61.34¢μ
SKEWNESS · G₁-2.186left-skewed
−3−10+1+3
EXCESS KURTOSIS · G₂3.782leptokurtic · fat tails
−30+2+4+6
μ ↔ medianμ < med · left-tailed|μ−med| / σ = 0.27
σ × 1.349 ↔ IQRdiverges from normalratio = 4.72
range ↔ σconcentrated (range < 4σ)range / σ = 3.89
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-0.082within white-noise band
ρ(2) AUTOCORR-0.413lag-2 not significant
H · HURST EXPONENT0.803strongly persistent
OLS TREND · t-STAT-0.521fails 5% test
HURST EXPONENT [0, 1]
H = 0.803STRONGLY 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=1-0.082k=2-0.413k=3+0.060k=4-0.053k=5-0.0420+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 0.69very high · strong structure|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCENOT SIGNIFICANT (|t|=0.52)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#298
SLUGbelgium-298
QUOTE TOKENUSDC
TWO-SIDED PRICING
PRIMARY · YES59.65¢implied prob 59.65% · decimal odds 1.68×
COUNTER · NO40.35¢implied prob 40.35% · decimal odds 2.48×
59.65¢
40.35¢
Σ-SIDES ARBITRAGE TEST
0%50%100% · target110%
Σ = 100.00% · |1 − Σ| = 0.000pp
24H ACTIVITY · LIQUIDITY
24H VOLUME6.46k contracts
MARKET QUALITYPERFECT · ARB-FREE Σ=100.00%|1−Σ| ≤ 0.5pp ⇒ fair · > 2pp ⇒ inefficient
PRICING SKEWFAVOURS YES (60¢)|primary − counter| = 0.193 · entropy 0.973 bits
LIQUIDITY DEPTHMODEST100k+ 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 59.7%No 40.3%YES59.7%H = 0.973 / 1.00 bits
Probability scale (Yes)
0%25%50%
fair
75%100%
Implied decimal odds
Yes1.68×(60¢)No2.48×(40¢)
Kelly bet-size (% of bankroll) K* = 0.00%
K* full
0.00%
½K half
0.00%
¼K quarter
0.00%
Entropy H(p̂) = 0.973 bits (97% of max) · maximum uncertainty (~50/50)
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 Belgium wins the Game.

§10 · Hourly return heatmap

24-hour signed Δp grid · green = up · red = down
HOURLY RETURN HEATMAP · n=23 bars · best 3.77% · worst -3.48% · typical |Δ| 0.55%BEARISH SESSION -0.91%BEST+3.77%00hWORST-3.48%22hTYPICAL |Δ|0.55%mean absoluteCUMULATIVE-0.91%Σ signed ΔSTREAK↗ 1up-runASIA · 00-08 UTCμ +0.47% · Σ +3.73%EUROPE · 08-16 UTCμ -0.04% · Σ -0.29%US · 16-24 UTCμ -0.55% · Σ -4.36%CUMULATIVE Δ PATH · final -0.91%+0.03%-4.33%0.03% · 15h0.03% · 15h0.03%15h-0.34% · 16h-0.34% · 16h-0.34%16h0.00% · 17h0.00% · 17h·17h0.02% · 18h0.02% · 18h0.02%18h-0.59% · 19h-0.59% · 19h-0.59%19h0.04% · 20h0.04% · 20h0.04%20h-0.02% · 21h-0.02% · 21h-0.02%21h-3.48% · 22h-3.48% · 22h-3.48%22h▼ WORST0.00% · 23h0.00% · 23h·23h3.77% · 00h3.77% · 00h3.77%00h★ BEST0.00% · 01h0.00% · 01h·01h0.00% · 02h0.00% · 02h·02h0.00% · 03h0.00% · 03h·03h-0.48% · 04h-0.48% · 04h-0.48%04h0.36% · 05h0.36% · 05h0.36%05h0.00% · 06h0.00% · 06h·06h0.08% · 07h0.08% · 07h0.08%07h0.00% · 08h0.00% · 08h·08h-0.15% · 09h-0.15% · 09h-0.15%09h-1.56% · 10h-1.56% · 10h-1.56%10h1.56% · 11h1.56% · 11h1.56%11h-0.17% · 12h-0.17% · 12h-0.17%12h0.00% · 13h0.00% · 13h0.00%13hTIME PATTERNAsia-led (+3.73%)RUNSup max 1 · down max 2BREADTH35% up · 35% down · 30% flat
8 up bars · 8 down · best 3.77% · worst -3.48% · typical |Δ| 0.550%

§11 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=24 barsLOSS WITH MODERATE DD (-1.07%)FINAL-1.07%MAX DD-4.33%RECOVERYONGOING · 22 barsMAX RUN-UP+0.03%UNDERWATER22/24 (92%)STREAK↗ 1EQUITY CURVE · end 0.9893 · peak 1.0003 · range [0.9570, 1.0003]1.00030.9570break-even = 1★ PEAK 1.0003UNDERWATER DRAWDOWN · max -4.33% · moderate0%-4.33%▼ TROUGH -4.33%TOP DRAWDOWN PERIODS · 1 total#1 -4.33%bar 3-24 · 22 bars · ONGOINGDD SEVERITYmoderate (max -4.33%)RECOVERYongoing · 22 barsTIME UNDER WATER92% of session · 22/24 bars
final equity 0.9893 (-1.07%) · max DD -4.33% · time-under-water 22/24 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +6 / −13 (32% positive) · μ=-11.43 · σ=30.55UNPROFITABLE STRATEGYLAST -5.28 (+0.20σ vs μ)59.6929.850.00-29.85-59.69μ = -11.43-59.69-59.69-57.76-57.76-38.36-38.36-49.71-49.71-50.01-50.012.282.281.961.962.132.1341.8641.8635.1635.16-7.25-7.25-7.25-7.25-2.04-2.04-2.04-2.0429.1029.10-43.84-43.84-1.15-1.15-5.36-5.36-5.28-5.28v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -5.278 · range [-59.69, 41.86] · μ -11.434 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=100.4164 · σ=79.8517 · range [17.7617, 239.8414] · R²=0.024 RISING +301.44%σ EXTREME 79.52%LAST 103.5706239.8414184.3214128.801573.281617.7617μ = 100.4164max 239.8414min 17.7617dataMA(3)OLS R²=0.02μ lineμ ± σ bandmaxmin
latest 103.57% · range [17.76%, 239.84%] · μ 100.42% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +3 / −16 (16% positive) · μ=-0.288 · σ=0.220MEAN-REVERSIONLAST -0.505 (-0.98σ vs μ)0.5270.2630.000-0.263-0.527μ = -0.288-0.349-0.349-0.527-0.527-0.373-0.373-0.115-0.115-0.370-0.3700.0110.0110.0020.002-0.009-0.009-0.300-0.300-0.035-0.035-0.517-0.517-0.494-0.494-0.475-0.475-0.465-0.465-0.058-0.0580.0560.056-0.454-0.454-0.504-0.504-0.505-0.505v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.505 · |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
3 of 6 REJECT · mixed evidence3 reject·3 pass·α = 0.05
𝒩

Jarque-Bera

REJECT H₀***

H₀: Δp ~ Normal(μ, σ²)

STATISTIC
44.5091
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
5.0906
p-VALUE (log scale)
0.4054
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
-2.9581
p-VALUE (log scale)
0.0406
α
10⁻⁴10⁻³10⁻²10⁻¹1
p < α · rejection zonestationary · mean-reverting (crit ≈ -2.86)
±

Wald-Wolfowitz runs

REJECT H₀*

H₀: Sign sequence of Δ is random

STATISTIC
2.0702
p-VALUE (log scale)
0.0384
α
10⁻⁴10⁻³10⁻²10⁻¹1
p < α · rejection zonenon-random sign pattern (13 runs)
χ

KPSS (μ stationarity)

FAIL TO REJECTns

H₀: p IS level-stationary

STATISTIC
0.1033
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
-0.1857
p-VALUE (log scale)
0.8526
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 0.961 ≈ 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=1.45e-4 · top T=2.88h (26.5%) · top-3 cover 66.6%BROADBAND · 3 CYCLEScumulative energy ↗ (3 bins above 2× noise)4.2e-43.2e-42.1e-41.1e-40.0e+0μ noise floor2× noise (significance)period 23.0 · power 2.27e-5 · 1.4% energyperiod 23.0 · power 2.27e-5 · 1.4% energyperiod 11.5 · power 9.16e-5 · 5.7% energyperiod 11.5 · power 9.16e-5 · 5.7% energyperiod 7.7 · power 6.95e-5 · 4.3% energyperiod 7.7 · power 6.95e-5 · 4.3% energyperiod 5.8 · power 3.02e-4 · 18.9% energyperiod 5.8 · power 3.02e-4 · 18.9% energyperiod 4.6 · power 9.95e-5 · 6.2% energyperiod 4.6 · power 9.95e-5 · 6.2% energyperiod 3.8 · power 3.39e-4 · 21.2% energyperiod 3.8 · power 3.39e-4 · 21.2% energyperiod 3.3 · power 1.04e-4 · 6.5% energyperiod 3.3 · power 1.04e-4 · 6.5% energyperiod 2.9 · power 4.24e-4 · 26.5% energyperiod 2.9 · power 4.24e-4 · 26.5% energyperiod 2.6 · power 1.04e-5 · 0.7% energyperiod 2.6 · power 1.04e-5 · 0.7% energyperiod 2.3 · power 1.02e-4 · 6.4% energyperiod 2.3 · power 1.02e-4 · 6.4% energyperiod 2.1 · power 3.48e-5 · 2.2% energyperiod 2.1 · power 3.48e-5 · 2.2% energy50% by T=3.8h#1 dominantT=2.88h#2T=3.83h#3T=5.75hT=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 ≈ 2.88h (freq 0.348) · concentrates 26.5% of total energy · Σ|X̂|²/n = 1.600e-3

▸ 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 0.023pp · expected |Δp| over horizon 0.30ppterminal variance p(1−p) = 0.2407 · n = 5000n = 5000
μ per bar
+0.000pp
average Δp · drift
σ per bar
0.023pp
one-bar volatility · logit-free
Per-day movedaily
0.11pp
σ × √24
Per-horizon move7d
0.30pp
σ × √168
Terminal variancebinary
0.2407
p(1−p) at resolution
Current pricep
59.7¢
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 0.05pp · method parametric · drift-correcteddrift +0.000pp/bar · quantised: yes · median step 0.00pp · unique ratio 0.01n = 5000
VaR 95%
0.04pp
1.645·σ (parametric) of Δp
ES 95%
0.05pp
mean of the tail
Max drawdown
1.8pp
peak 60.8¢ → trough 59.7¢
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
59.7%
= price
Decimal oddsEU
1.676
total return per $1
AmericanUS
-148
risk $148 to win $100
FractionalUK
0.68 / 1
profit per $1 risked
Profit per $100stake
+$67.64
clean dollar framing
-1000-5000+500+1000020406080100you · 59.7%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)
0.973 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.973 bit
Δ +0.000 bit vs market
Surprise · YES−log₂ p
0.75 bit
self-information
Surprise · NO−log₂(1−p)
1.31 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 14:50:48 UTC
Snapshot age
1.9s
Page rendered
2026-06-14 14:50:50 UTC
History points
24 closes · 24 counter-side closes
Storage policy
no persistence — fetched on every request
SHA-256 attestation
f7ae237d3b95428fd9bb21f5918ba299839525874b67a183b43b055ea4bd7b94 · 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)
88.11%
σ per bar = 0.000384
Mean return (annualised)
1584.62%
μ per bar = 0.000003
Sharpe (rf=0)
17.99
annualised; risk-free assumed zero
Max drawdown
1.81%
peak 0.61 → trough 0.60 over 2426 bars

/api/asset/hl-pred-belgium-298/risk · same metrics, JSON