HYPERLIQUID · HIP-3 PREDICTION MARKET · OUTCOME #454

Belgium

Primary · Yes
67.7¢
Counter · No
32.3¢

▸ Advanced metrics · M2M bundle

hyperliquid · pred-belgium-454 · fresh · feed 3s old
24h sparkline · 60 pts
realized vol (ann.)
59.09%
max drawdown
1.07%
sharpe
ulcer index
0.73%
RMS drawdown
pain index
0.51%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
1.07%
cond. drawdown
gain/pain
1.10
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
1.10
upside/downside
roll spread
0.0 bps
implied (price-only)
bars used
1600
store
spread
24h Δ
flow lean
carry
flat
signalNEUTRALconfidence 20%
Same bundle via M2M API: /api/m2m/hl-pred-belgium-454/bundle · venue execution: hyperliquid
LIVEPOLL0SRCFRESH2.5s--:--:-- 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
67.7¢
No mid · live
32.3¢
Yes · live 24h price
n=24 · μ=0.6803 · σ=0.0006 · range [0.6796, 0.6814] · R²=0.462 FALLING -0.12%σ LOW 0.08%LAST 0.68060.68140.68090.68050.68010.6796μ = 0.6803max 0.6814min 0.6796dataMA(4)OLS R²=0.46μ lineμ ± σ bandmaxminlive endpoint
24 bars · close 68.06¢ · 24h -0.12%
Probability split · live
Yes 67.7%No 32.3%YES67.7%67.72¢ · odds 1/1.48
Σ 100.00% · fair
Σ-sides total = 100.00% (tight rounding)
H(p) entropy = 0.907 / 1.00 bits (91%) · high uncertainty
Yes
67.7%67.7¢1.48× +0.00pp
No
32.3%32.3¢3.10× +0.00pp
primary vs counter implied %
Volume · per-hour contracts · live
n=24 · Σ=2,111 · μ=88.0 · σ=213.3 · CV=2.42BURSTY · concentratedcumulative energy ↗ · 50% by h=200197393590786μ = 8878650%h1h5h9h13h17h21#1 peak#2-3> μactivequietμ linecum energy
Σ 2111 · peak 786
Live numerics · pulse on poll
LIVE NUMERICS8 metrics·POLL 0
snapshot age
2.5s
Yes mid
67.717¢
No mid
32.283¢
ΣΣ sides
100.00%
Σarb gap |1 − Σ|
0.00pp
Δ24h candles
24 bars
Δ24h close
68.06¢
Δ24h change
-0.12%

§1 · 24h time-series

Mid price · Yes (24 hourly observations)
n=24 · μ=0.6803 · σ=0.0006 · range [0.6796, 0.6814] · R²=0.462 FALLING -0.12%σ LOW 0.08%LAST 0.68060.68140.68090.68050.68010.6796μ = 0.6803max 0.6814min 0.6796dataMA(4)OLS R²=0.46μ lineμ ± σ bandmaxmin
range [67.96¢, 68.14¢] · span 0.17pp · MA(5) latest 68.03¢
Candlestick · open / high / low / close per hour
n=24 · up 23 · down 1 (96% up) · range [0.6796, 0.6814] · σ=0.0006 · CV=0.00 · bodyµ=13%BEARISH -0.12%CLOSE 0.6806 vs OPEN 0.6814 (-0.12%)&#9660; CLOSE 0.68060.68140.68090.68050.68010.6796μ close = 0.6803O0.681 H0.681 L0.681 C0.681 (+0.00%)O0.681 H0.681 L0.681 C0.681 (+0.00%)O0.681 H0.681 L0.681 C0.681 (+0.00%)O0.681 H0.681 L0.681 C0.681 (+0.00%)O0.681 H0.681 L0.681 C0.681 (+0.00%)O0.681 H0.681 L0.681 C0.681 (+0.00%)O0.681 H0.681 L0.681 C0.681 (+0.00%)O0.681 H0.681 L0.681 C0.681 (+0.00%)O0.681 H0.681 L0.681 C0.681 (+0.00%)O0.681 H0.681 L0.681 C0.681 (+0.00%)O0.681 H0.681 L0.681 C0.681 (+0.03%)O0.681 H0.681 L0.681 C0.681 (+0.03%)O0.680 H0.680 L0.680 C0.680 (+0.00%)O0.680 H0.680 L0.680 C0.680 (+0.00%)O0.680 H0.680 L0.680 C0.680 (+0.00%)O0.680 H0.680 L0.680 C0.680 (+0.00%)O0.680 H0.680 L0.680 C0.680 (+0.00%)O0.680 H0.680 L0.680 C0.680 (+0.00%)O0.680 H0.680 L0.680 C0.680 (+0.00%)O0.680 H0.680 L0.680 C0.680 (+0.00%)O0.680 H0.680 L0.680 C0.680 (+0.00%)O0.680 H0.680 L0.680 C0.680 (+0.00%)O0.680 H0.680 L0.680 C0.680 (+0.00%)O0.680 H0.680 L0.680 C0.680 (+0.00%)O0.680 H0.680 L0.680 C0.680 (+0.00%)O0.680 H0.680 L0.680 C0.680 (+0.00%)O0.680 H0.680 L0.680 C0.680 (+0.00%)O0.680 H0.680 L0.680 C0.680 (+0.00%)O0.680 H0.680 L0.680 C0.680 (+0.00%)O0.680 H0.680 L0.680 C0.680 (+0.00%)-0.1%O0.680 H0.680 L0.680 C0.680 (-0.06%)O0.680 H0.680 L0.680 C0.680 (-0.06%)O0.680 H0.680 L0.680 C0.680 (+0.00%)O0.680 H0.680 L0.680 C0.680 (+0.00%)O0.680 H0.680 L0.680 C0.680 (+0.00%)O0.680 H0.680 L0.680 C0.680 (+0.00%)O0.680 H0.680 L0.680 C0.680 (+0.00%)O0.680 H0.680 L0.680 C0.680 (+0.00%)O0.680 H0.680 L0.680 C0.680 (+0.00%)O0.680 H0.680 L0.680 C0.680 (+0.00%)O0.680 H0.680 L0.680 C0.680 (+0.00%)O0.680 H0.680 L0.680 C0.680 (+0.00%)O0.680 H0.680 L0.680 C0.680 (+0.00%)O0.680 H0.680 L0.680 C0.680 (+0.00%)O0.680 H0.681 L0.680 C0.681 (+0.03%)O0.680 H0.681 L0.680 C0.681 (+0.03%)O0.681 H0.681 L0.681 C0.681 (+0.00%)O0.681 H0.681 L0.681 C0.681 (+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 68.06¢
Hourly traded contracts
n=24 · Σ=2,111 · μ=88.0 · σ=213.3 · CV=2.42BURSTY · concentratedcumulative energy &nearr; · 50% by h=200197393590786μ = 8814 · 1.8% peak14 · 1.8% peak16 · 2.0% peak16 · 2.0% peak16 · 2.0% peak16 · 2.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak47 · 6.0% peak47 · 6.0% peak16 · 2.0% peak16 · 2.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak786786 · 100.0% peak786 · 100.0% peak0 · 0.0% peak0 · 0.0% peak73 · 9.3% peak73 · 9.3% peak0 · 0.0% peak0 · 0.0% peak32 · 4.1% peak32 · 4.1% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak73 · 9.3% peak73 · 9.3% peak16 · 2.0% peak16 · 2.0% peak739 · 94.0% peak739 · 94.0% peak62 · 7.9% peak62 · 7.9% peak221 · 28.1% peak221 · 28.1% peak50%#1#5#9#13#17#21#1 peak#2-3> μactivequietμ linecum energy
Σ vol = 2111 · peak 786 · mean 88.0

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

Histogram of Δp
n=23 · 12 bins · μ=-0.0000 · σ=0.0003 · skew=-0.78 (left-skewed) · kurt=1.80 (leptokurtic (fat tails))13107301-0.09ppbin -0.09pp · n=1 · 7.7% peakbin -0.09pp · n=1 · 7.7% peak-0.08pp-0.06pp1-0.05ppbin -0.05pp · n=1 · 7.7% peakbin -0.05pp · n=1 · 7.7% peak2-0.04ppbin -0.04pp · n=2 · 15.4% peakbin -0.04pp · n=2 · 15.4% peak1-0.02ppbin -0.02pp · n=1 · 7.7% peakbin -0.02pp · n=1 · 7.7% peak-0.01pp130.00ppbin 0.00pp · n=13 · 100.0% peakbin 0.00pp · n=13 · 100.0% peak30.02ppbin 0.02pp · n=3 · 23.1% peakbin 0.02pp · n=3 · 23.1% peak0.03pp0.04pp20.06ppbin 0.06pp · n=2 · 15.4% peakbin 0.06pp · n=2 · 15.4% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=23 · positive 6 · negative 6
Q-Q plot · standardised Δp vs N(0,1)
n=23 · skew=-0.59 · kurt=1.98 · near 10 / mid 13 / far 0 · OLS slope=0.93 intercept=-0.00APPROXIMATELY NORMALUPPER TAIL NORMALMILDLY HEAVY LOWER-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=24PLATYKURTIC · THIN TAILS (G₂=-1.27)
μ MEAN68.03¢95% CI: [68.01¢, 68.06¢]
σ STD DEV0.06ppσ² = 33.389×10⁻⁴ · CV = 0.08%
med MEDIAN68.03¢Q₁ 67.99¢ · Q₃ 68.07¢
FIVE-NUMBER SUMMARY · BOX PLOT
min 67.96¢Q₁ 67.99¢med 68.03¢Q₃ 68.07¢max 68.14¢μ
SKEWNESS · G₁0.405approximately symmetric
−3−10+1+3
EXCESS KURTOSIS · G₂-1.272platykurtic · thin tails
−30+2+4+6
μ ↔ median≈ equal · symmetric|μ−med| / σ = 0.03
σ × 1.349 ↔ IQRconsistent with normalratio = 0.94
range ↔ σconcentrated (range < 4σ)range / σ = 2.98
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) -0.20 + ADF rejected
ρ(1) AUTOCORR-0.205within white-noise band
ρ(2) AUTOCORR-0.112lag-2 not significant
H · HURST EXPONENT0.919strongly persistent
OLS TREND · t-STAT-4.350significant @ α=0.05
HURST EXPONENT [0, 1]
H = 0.919STRONGLY 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=1-0.205k=2-0.112k=3+0.154k=4-0.102k=5+0.3770+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 · ρ(1) -0.20 + ADF rejectedfrom Hurst + ρ(1) joint diagnosis
PREDICTABILITY · score 1.00very high · strong structure|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCESIGNIFICANT @ 1% (|t|=4.35)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#454
SLUGbelgium-454
QUOTE TOKENUSDC
TWO-SIDED PRICING
PRIMARY · YES67.72¢implied prob 67.72% · decimal odds 1.48×
COUNTER · NO32.28¢implied prob 32.28% · decimal odds 3.10×
67.72¢
32.28¢
Σ-SIDES ARBITRAGE TEST
0%50%100% · target110%
Σ = 100.00% · |1 − Σ| = 0.000pp
24H ACTIVITY · LIQUIDITY
24H VOLUME2.11k contracts
MARKET QUALITYPERFECT · ARB-FREE Σ=100.00%|1−Σ| ≤ 0.5pp ⇒ fair · > 2pp ⇒ inefficient
PRICING SKEWFAVOURS YES (68¢)|primary − counter| = 0.354 · entropy 0.907 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 67.7%No 32.3%YES67.7%H = 0.907 / 1.00 bits
Probability scale (Yes)
0%25%50%
fair
75%100%
Implied decimal odds
Yes1.48×(68¢)No3.10×(32¢)
Kelly bet-size (% of bankroll) K* = 0.00%
K* full
0.00%
½K half
0.00%
¼K quarter
0.00%
Entropy H(p̂) = 0.907 bits (91% of max) · high uncertainty
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 0.06% · worst -0.10% · typical |Δ| 0.02%MILD BEARISH -0.08%BEST+0.06%04hWORST-0.10%15hTYPICAL |Δ|0.02%mean absoluteCUMULATIVE-0.08%Σ signed ΔSTREAK↘ 1down-runASIA · 00-08 UTCμ +0.01% · Σ +0.07%EUROPE · 08-16 UTCμ -0.01% · Σ -0.10%US · 16-24 UTCμ -0.01% · Σ -0.05%CUMULATIVE Δ PATH · final -0.08%+0.00%-0.17%-0.03% · 10h-0.03% · 10h-0.03%10h0.01% · 11h0.01% · 11h0.01%11h0.00% · 12h0.00% · 12h·12h0.00% · 13h0.00% · 13h·13h0.02% · 14h0.02% · 14h0.02%14h-0.10% · 15h-0.10% · 15h-0.10%15h▼ WORST0.00% · 16h0.00% · 16h·16h0.00% · 17h0.00% · 17h·17h0.00% · 18h0.00% · 18h·18h0.00% · 19h0.00% · 19h·19h-0.05% · 20h-0.05% · 20h-0.05%20h0.00% · 21h0.00% · 21h·21h0.01% · 22h0.01% · 22h0.01%22h0.00% · 23h0.00% · 23h·23h-0.02% · 00h-0.02% · 00h-0.02%00h0.00% · 01h0.00% · 01h·01h0.00% · 02h0.00% · 02h·02h0.00% · 03h0.00% · 03h·03h0.06% · 04h0.06% · 04h0.06%04h★ BEST-0.04% · 05h-0.04% · 05h-0.04%05h0.01% · 06h0.01% · 06h0.01%06h0.06% · 07h0.06% · 07h0.06%07h-0.00% · 08h-0.00% · 08h-0.00%08hTIME PATTERNuniform across sessionsRUNSup max 2 · down max 1BREADTH26% up · 26% down · 48% flat
6 up bars · 6 down · best 0.06% · worst -0.10% · typical |Δ| 0.018%

§11 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=24 barsFLAT · NO MATERIAL MOVEMENTFINAL-0.08%MAX DD-0.17%RECOVERYONGOING · 23 barsMAX RUN-UP+0.00%UNDERWATER23/24 (96%)STREAK↘ 1EQUITY CURVE · end 0.9992 · peak 1.0000 · range [0.9983, 1.0000]1.00000.9983break-even = 1★ PEAK 1.0000UNDERWATER DRAWDOWN · max -0.17% · shallow0%-0.17%▼ TROUGH -0.17%TOP DRAWDOWN PERIODS · 1 total#1 -0.17%bar 2-24 · 23 bars · ONGOINGDD SEVERITYshallow (max -0.17%)RECOVERYongoing · 23 barsTIME UNDER WATER96% of session · 23/24 bars
final equity 0.9992 (-0.08%) · max DD -0.17% · time-under-water 23/24 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +5 / −14 (26% positive) · μ=-18.03 · σ=29.57UNPROFITABLE STRATEGYLAST 39.51 (+1.95σ vs μ)53.4526.730.00-26.73-53.45μ = -18.03-4.54-4.54-26.30-26.30-31.47-31.47-31.47-31.47-31.47-31.47-41.86-41.86-41.86-41.86-41.86-41.86-36.00-36.00-36.00-36.00-53.45-53.45-28.26-28.26-28.26-28.26-41.86-41.8623.1723.1711.6511.6517.2317.2340.5740.5739.5139.51v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest 39.506 · range [-53.45, 40.57] · μ -18.028 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=2.9408 · σ=1.1994 · range [0.9627, 4.3967] · R²=0.024 RISING +111.33%σ EXTREME 40.79%LAST 4.08004.39673.53822.67971.82120.9627μ = 2.9408max 4.3967min 0.9627dataMA(3)OLS R²=0.02μ lineμ ± σ bandmaxmin
latest 4.08% · range [0.96%, 4.40%] · μ 2.94% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +0 / −19 (0% positive) · μ=-0.270 · σ=0.169MEAN-REVERSIONLAST -0.438 (-0.99σ vs μ)0.5790.2900.000-0.290-0.579μ = -0.270-0.220-0.220-0.198-0.198-0.387-0.387-0.387-0.387-0.422-0.422-0.050-0.050-0.050-0.050-0.300-0.300-0.245-0.245-0.222-0.222-0.047-0.047-0.137-0.137-0.177-0.177-0.300-0.300-0.015-0.015-0.518-0.518-0.579-0.579-0.438-0.438-0.438-0.438v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.438 · |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
9.0761
p-VALUE (log scale)
0.0107
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
6.9634
p-VALUE (log scale)
0.2223
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
-2.0068
p-VALUE (log scale)
0.2930
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedrandom-walk behaviour (crit ≈ -2.86)
±

Wald-Wolfowitz runs

FAIL TO REJECTns

H₀: Sign sequence of Δ is random

STATISTIC
1.2111
p-VALUE (log scale)
0.2259
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedsigns appear random (9 runs)
χ

KPSS (μ stationarity)

REJECT H₀*

H₀: p IS level-stationary

STATISTIC
0.5838
p-VALUE (log scale)
0.0241
α
10⁻⁴10⁻³10⁻²10⁻¹1
p < α · rejection zonenon-stationary (crit 0.463)
χ

Variance ratio q=2

FAIL TO REJECTns

H₀: Δp is a random walk · VR = 1

STATISTIC
-0.9106
p-VALUE (log scale)
0.3625
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 0.810 ≈ 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=1.06e-7 · top T=2.88h (28.1%) · top-3 cover 70.8%2 SIGNIFICANT CYCLEScumulative energy ↗ (2 bins above 2× noise)3.3e-72.5e-71.6e-78.2e-80.0e+0μ noise floor2× noise (significance)period 23.0 · power 1.20e-7 · 10.2% energyperiod 23.0 · power 1.20e-7 · 10.2% energyperiod 11.5 · power 1.29e-8 · 1.1% energyperiod 11.5 · power 1.29e-8 · 1.1% energyperiod 7.7 · power 4.37e-9 · 0.4% energyperiod 7.7 · power 4.37e-9 · 0.4% energyperiod 5.8 · power 3.95e-8 · 3.4% energyperiod 5.8 · power 3.95e-8 · 3.4% energyperiod 4.6 · power 3.05e-7 · 26.0% energyperiod 4.6 · power 3.05e-7 · 26.0% energyperiod 3.8 · power 1.66e-8 · 1.4% energyperiod 3.8 · power 1.66e-8 · 1.4% energyperiod 3.3 · power 8.15e-8 · 7.0% energyperiod 3.3 · power 8.15e-8 · 7.0% energyperiod 2.9 · power 3.29e-7 · 28.1% energyperiod 2.9 · power 3.29e-7 · 28.1% energyperiod 2.6 · power 5.70e-8 · 4.9% energyperiod 2.6 · power 5.70e-8 · 4.9% energyperiod 2.3 · power 1.95e-7 · 16.6% energyperiod 2.3 · power 1.95e-7 · 16.6% energyperiod 2.1 · power 1.06e-8 · 0.9% energyperiod 2.1 · power 1.06e-8 · 0.9% energy50% by T=2.9h#1 dominantT=2.88h#2T=4.60h#3T=2.30hT=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 28.1% of total energy · Σ|X̂|²/n = 1.171e-6

▸ Depth section using sovereign-store price series (3273 bars · effective 5252597 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 0.595pp · expected |Δp| over horizon 7.71ppterminal variance p(1−p) = 0.2186 · n = 3273n = 3273
μ per bar
+0.005pp
average Δp · drift
σ per bar
0.595pp
one-bar volatility · logit-free
Per-day movedaily
2.91pp
σ × √24
Per-horizon move7d
7.71pp
σ × √168
Terminal variancebinary
0.2186
p(1−p) at resolution
Current pricep
67.7¢
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 0.97pp · ES₉₅ 1.22pp · method parametric · drift-correcteddrift +0.005pp/bar · quantised: yes · median step 0.23pp · unique ratio 0.01n = 3273
VaR 95%
0.97pp
1.645·σ (parametric) of Δp
ES 95%
1.22pp
mean of the tail
Max drawdown
20.4pp
peak 85.0¢ → trough 67.6¢
Median step
0.23pp
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
67.7%
= price
Decimal oddsEU
1.477
total return per $1
AmericanUS
-210
risk $210 to win $100
FractionalUK
0.48 / 1
profit per $1 risked
Profit per $100stake
+$47.67
clean dollar framing
-1000-5000+500+1000020406080100you · 67.7%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)
0.907 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.907 bit
Δ +0.000 bit vs market
Surprise · YES−log₂ p
0.56 bit
self-information
Surprise · NO−log₂(1−p)
1.63 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 09:39:02 UTC
Snapshot age
2.5s
Page rendered
2026-06-20 09:39:05 UTC
History points
24 closes · 24 counter-side closes
Storage policy
no persistence — fetched on every request
SHA-256 attestation
3f45608ab69f1c481c31ef7fc1bc98eb81ed820f91e82defd8d9b54e0a9337f1 · 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 · 3,273 barsperiods/year ≈ 5.25M
Realized vol (annualised)
2017.58%
σ per bar = 0.008803
Mean return (annualised)
48691.55%
μ per bar = 0.000093
Sharpe (rf=0)
24.13
annualised; risk-free assumed zero
Max drawdown
20.42%
peak 0.85 → trough 0.68 over 552 bars

/api/asset/hl-pred-belgium-454/risk · same metrics, JSON