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HYPERLIQUID · HIP-3 PREDICTION MARKET · OUTCOME #298

Belgium

Primary · Yes
59.8¢
Counter · No
40.2¢

▸ Advanced metrics · M2M bundle

hyperliquid · pred-belgium-298 · fresh · feed 4s old
24h sparkline · 60 pts
realized vol (ann.)
66.67%
max drawdown
1.61%
sharpe
ulcer index
1.00%
RMS drawdown
pain index
0.63%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
1.61%
cond. drawdown
gain/pain
1.22
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
1.22
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-belgium-298/bundle · venue execution: hyperliquid
LIVEPOLL0SRCFRESH4.4s--:--:-- 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
59.8¢
No mid · live
40.2¢
Yes · live 24h price
n=25 · μ=0.6052 · σ=0.0121 · range [0.5698, 0.6174] · R²=0.144 FALLING -4.44%σ NORMAL 1.99%LAST 0.59000.61740.60550.59360.58170.5698μ = 0.6052max 0.6174min 0.5698dataMA(5)OLS R²=0.14μ lineμ ± σ bandmaxminlive endpoint
25 bars · close 59.00¢ · 24h -4.44%
Probability split · live
Yes 59.8%No 40.2%YES59.8%59.78¢ · odds 1/1.67
Σ 100.00% · fair
Σ-sides total = 100.00% (tight rounding)
H(p) entropy = 0.972 / 1.00 bits (97%) · max uncertainty (~50/50)
Yes
59.8%59.8¢1.67× +0.00pp
No
40.2%40.2¢2.49× +0.00pp
primary vs counter implied %
Volume · per-hour contracts · live
n=25 · Σ=4,714 · μ=188.6 · σ=349.6 · CV=1.85BURSTY · concentratedcumulative energy ↗ · 50% by h=130247493740986μ = 18998650%h1h5h9h13h17h21h25#1 peak#2-3> μactivequietμ linecum energy
Σ 4714 · peak 986
Live numerics · pulse on poll
LIVE NUMERICS8 metrics·POLL 0
snapshot age
4.4s
Yes mid
59.781¢
No mid
40.219¢
ΣΣ sides
100.00%
Σarb gap |1 − Σ|
0.00pp
Δ24h candles
25 bars
Δ24h close
59.00¢
Δ24h change
-4.44%

§1 · 24h time-series

Mid price · Yes (25 hourly observations)
n=25 · μ=0.6052 · σ=0.0121 · range [0.5698, 0.6174] · R²=0.144 FALLING -4.44%σ NORMAL 1.99%LAST 0.59000.61740.60550.59360.58170.5698μ = 0.6052max 0.6174min 0.5698dataMA(5)OLS R²=0.14μ lineμ ± σ bandmaxmin
range [56.98¢, 61.74¢] · span 4.76pp · MA(5) latest 60.32¢
Candlestick · open / high / low / close per hour
n=25 · up 22 · down 3 (88% up) · range [0.5698, 0.6174] · σ=0.0121 · CV=0.02 · bodyµ=21%BEARISH -4.44%CLOSE 0.5900 vs OPEN 0.6174 (-4.44%)&#9660; CLOSE 0.59000.61740.60550.59360.58170.5698μ close = 0.6052O0.617 H0.617 L0.617 C0.617 (+0.00%)O0.617 H0.617 L0.617 C0.617 (+0.00%)O0.617 H0.617 L0.617 C0.617 (+0.00%)O0.617 H0.617 L0.617 C0.617 (+0.00%)O0.617 H0.617 L0.617 C0.617 (+0.00%)O0.617 H0.617 L0.617 C0.617 (+0.00%)O0.614 H0.614 L0.613 C0.613 (-0.09%)O0.614 H0.614 L0.613 C0.613 (-0.09%)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%)O0.613 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%)#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 59.00¢
Hourly traded contracts
n=25 · Σ=4,714 · μ=188.6 · σ=349.6 · CV=1.85BURSTY · concentratedcumulative energy &nearr; · 50% by h=130247493740986μ = 18919 · 1.9% peak19 · 1.9% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak953 · 96.7% peak953 · 96.7% peak0 · 0.0% peak0 · 0.0% peak17 · 1.7% peak17 · 1.7% peak18 · 1.8% peak18 · 1.8% peak0 · 0.0% peak0 · 0.0% peak18 · 1.8% peak18 · 1.8% peak986986 · 100.0% peak986 · 100.0% peak75 · 7.6% peak75 · 7.6% peak100 · 10.1% peak100 · 10.1% peak819 · 83.1% peak819 · 83.1% peak0 · 0.0% peak0 · 0.0% peak61 · 6.2% peak61 · 6.2% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak30 · 3.0% peak30 · 3.0% peak824 · 83.6% peak824 · 83.6% peak0 · 0.0% peak0 · 0.0% peak755 · 76.6% peak755 · 76.6% peak0 · 0.0% peak0 · 0.0% peak21 · 2.1% peak21 · 2.1% peak18 · 1.8% peak18 · 1.8% peak50%#1#5#9#13#17#21#25#1 peak#2-3> μactivequietμ linecum energy
Σ vol = 4714 · peak 986 · mean 188.6

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

Histogram of Δp
n=24 · 12 bins · μ=-0.0021 · σ=0.0101 · skew=0.87 (right-skewed) · kurt=7.28 (leptokurtic (fat tails))18149501-3.17ppbin -3.17pp · n=1 · 5.6% peakbin -3.17pp · n=1 · 5.6% peak-2.57pp-1.97pp1-1.36ppbin -1.36pp · n=1 · 5.6% peakbin -1.36pp · n=1 · 5.6% peak2-0.76ppbin -0.76pp · n=2 · 11.1% peakbin -0.76pp · n=2 · 11.1% peak18-0.16ppbin -0.16pp · n=18 · 100.0% peakbin -0.16pp · n=18 · 100.0% peak10.45ppbin 0.45pp · n=1 · 5.6% peakbin 0.45pp · n=1 · 5.6% peak1.05pp1.66pp2.26pp2.86pp13.47ppbin 3.47pp · n=1 · 5.6% peakbin 3.47pp · n=1 · 5.6% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=24 · positive 6 · negative 8
Q-Q plot · standardised Δp vs N(0,1)
n=24 · skew=0.53 · kurt=6.95 · near 7 / mid 14 / far 3 · OLS slope=0.79 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=3.22)
μ MEAN60.52¢95% CI: [60.05¢, 60.99¢]
σ STD DEV1.21ppσ² = 1.454 · CV = 1.99%
med MEDIAN60.75¢Q₁ 60.48¢ · Q₃ 61.02¢
FIVE-NUMBER SUMMARY · BOX PLOT
min 56.98¢Q₁ 60.48¢med 60.75¢Q₃ 61.02¢max 61.74¢μ
SKEWNESS · G₁-1.942left-skewed
−3−10+1+3
EXCESS KURTOSIS · G₂3.219leptokurtic · fat tails
−30+2+4+6
μ ↔ medianμ < med · left-tailed|μ−med| / σ = 0.19
σ × 1.349 ↔ IQRdiverges from normalratio = 3.00
range ↔ σconcentrated (range < 4σ)range / σ = 3.95
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-0.002within white-noise band
ρ(2) AUTOCORR-0.454lag-2 dependence detected
H · HURST EXPONENT0.752strongly persistent
OLS TREND · t-STAT-1.965significant @ α=0.05
HURST EXPONENT [0, 1]
H = 0.752STRONGLY 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=1-0.002k=2-0.454k=3+0.068k=4-0.065k=5-0.0500+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 0.51high · clear structure|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCESIGNIFICANT @ 5% (|t|=1.96)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 · YES59.78¢implied prob 59.78% · decimal odds 1.67×
COUNTER · NO40.22¢implied prob 40.22% · decimal odds 2.49×
59.78¢
40.22¢
Σ-SIDES ARBITRAGE TEST
0%50%100% · target110%
Σ = 100.00% · |1 − Σ| = 0.000pp
24H ACTIVITY · LIQUIDITY
24H VOLUME4.71k contracts
MARKET QUALITYPERFECT · ARB-FREE Σ=100.00%|1−Σ| ≤ 0.5pp ⇒ fair · > 2pp ⇒ inefficient
PRICING SKEWFAVOURS YES (60¢)|primary − counter| = 0.196 · entropy 0.972 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 59.8%No 40.2%YES59.8%H = 0.972 / 1.00 bits
Probability scale (Yes)
0%25%50%
fair
75%100%
Implied decimal odds
Yes1.67×(60¢)No2.49×(40¢)
Kelly bet-size (% of bankroll) K* = -0.00%
K* full
-0.00%
½K half
-0.00%
¼K quarter
-0.00%
Entropy H(p̂) = 0.972 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=24 bars · best 3.77% · worst -3.48% · typical |Δ| 0.47%BEARISH SESSION -2.74%BEST+3.77%00hWORST-3.48%22hTYPICAL |Δ|0.47%mean absoluteCUMULATIVE-2.74%Σ signed ΔSTREAK↘ 2down-runASIA · 00-08 UTCμ +0.47% · Σ +3.73%EUROPE · 08-16 UTCμ -0.26% · Σ -2.11%US · 16-24 UTCμ -0.55% · Σ -4.36%CUMULATIVE Δ PATH · final -2.74%+0.00%-4.76%0.00% · 11h0.00% · 11h·11h0.00% · 12h0.00% · 12h·12h-0.43% · 13h-0.43% · 13h-0.43%13h0.00% · 14h0.00% · 14h·14h0.03% · 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%10hTIME PATTERNAsia-led (+3.73%)RUNSup max 1 · down max 2BREADTH25% up · 33% down · 42% flat
6 up bars · 8 down · best 3.77% · worst -3.48% · typical |Δ| 0.473%

§11 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=25 barsLOSS WITH MODERATE DD (-2.85%)FINAL-2.85%MAX DD-4.71%RECOVERYONGOING · 22 barsMAX RUN-UP+0.00%UNDERWATER22/25 (88%)STREAK↘ 2EQUITY CURVE · end 0.9715 · peak 1.0000 · range [0.9529, 1.0000]1.00000.9529break-even = 1★ PEAK 1.0000UNDERWATER DRAWDOWN · max -4.71% · moderate0%-4.71%▼ TROUGH -4.71%TOP DRAWDOWN PERIODS · 1 total#1 -4.71%bar 4-25 · 22 bars · ONGOINGDD SEVERITYmoderate (max -4.71%)RECOVERYongoing · 22 barsTIME UNDER WATER88% of session · 22/25 bars
final equity 0.9715 (-2.85%) · max DD -4.71% · time-under-water 22/25 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +5 / −14 (26% positive) · μ=-20.64 · σ=30.70UNPROFITABLE STRATEGYLAST -28.92 (-0.27σ vs μ)56.7228.360.00-28.36-56.72μ = -20.64-56.72-56.72-56.72-56.72-54.72-54.72-53.40-53.40-49.64-49.64-53.76-53.76-45.01-45.01-45.01-45.01-1.86-1.862.122.121.821.821.991.9932.2932.2936.2736.27-6.75-6.75-1.90-1.90-1.90-1.90-10.34-10.34-28.92-28.92v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -28.917 · range [-56.72, 36.27] · μ -20.639 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=90.1004 · σ=80.8952 · range [18.9969, 215.9381] · R²=0.022 RISING +236.21%σ EXTREME 89.78%LAST 63.8692215.9381166.7028117.467568.232218.9969μ = 90.1004max 215.9381min 18.9969dataMA(3)OLS R²=0.02μ lineμ ± σ bandmaxmin
latest 63.87% · range [19.00%, 215.94%] · μ 90.10% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +3 / −16 (16% positive) · μ=-0.253 · σ=0.218MEAN-REVERSIONLAST 0.076 (+1.51σ vs μ)0.5570.2780.000-0.278-0.557μ = -0.253-0.356-0.356-0.557-0.557-0.286-0.286-0.253-0.253-0.553-0.553-0.414-0.414-0.079-0.079-0.320-0.320-0.004-0.0040.0030.0030.0030.003-0.007-0.007-0.187-0.187-0.020-0.020-0.492-0.492-0.474-0.474-0.473-0.473-0.418-0.4180.0760.076v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest 0.076 · |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
1 of 6 REJECT · mixed evidence1 reject·5 pass·α = 0.05
𝒩

Jarque-Bera

REJECT H₀***

H₀: Δp ~ Normal(μ, σ²)

STATISTIC
81.4678
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
6.2136
p-VALUE (log scale)
0.2853
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
-2.4439
p-VALUE (log scale)
0.1371
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
1.7881
p-VALUE (log scale)
0.0738
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
0.2884
p-VALUE (log scale)
0.2024
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedstationary not rejected (crit 0.463)
χ

Variance ratio q=3

FAIL TO REJECTns

H₀: Δp is a random walk · VR = 1

STATISTIC
-0.9754
p-VALUE (log scale)
0.3294
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 0.703 ≈ 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=12 bins · noise floor μ=1.23e-4 · top T=3.00h (24.1%) · top-3 cover 58.9%2 SIGNIFICANT CYCLEScumulative energy ↗ (2 bins above 2× noise)3.6e-42.7e-41.8e-48.9e-50.0e+0μ noise floor2× noise (significance)period 24.0 · power 3.85e-5 · 2.6% energyperiod 24.0 · power 3.85e-5 · 2.6% energyperiod 12.0 · power 7.57e-5 · 5.1% energyperiod 12.0 · power 7.57e-5 · 5.1% energyperiod 8.0 · power 8.57e-5 · 5.8% energyperiod 8.0 · power 8.57e-5 · 5.8% energyperiod 6.0 · power 2.45e-4 · 16.6% energyperiod 6.0 · power 2.45e-4 · 16.6% energyperiod 4.8 · power 1.24e-4 · 8.4% energyperiod 4.8 · power 1.24e-4 · 8.4% energyperiod 4.0 · power 2.68e-4 · 18.2% energyperiod 4.0 · power 2.68e-4 · 18.2% energyperiod 3.4 · power 1.33e-4 · 9.0% energyperiod 3.4 · power 1.33e-4 · 9.0% energyperiod 3.0 · power 3.56e-4 · 24.1% energyperiod 3.0 · power 3.56e-4 · 24.1% energyperiod 2.7 · power 7.41e-5 · 5.0% energyperiod 2.7 · power 7.41e-5 · 5.0% energyperiod 2.4 · power 5.71e-5 · 3.9% energyperiod 2.4 · power 5.71e-5 · 3.9% energyperiod 2.2 · power 1.16e-5 · 0.8% energyperiod 2.2 · power 1.16e-5 · 0.8% energyperiod 2.0 · power 7.07e-6 · 0.5% energyperiod 2.0 · power 7.07e-6 · 0.5% energy50% by T=4.0h#1 dominantT=3.00h#2T=4.00h#3T=6.00hT=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 24.1% of total energy · Σ|X̂|²/n = 1.475e-3

▸ Depth section using sovereign-store price series (5000 bars · effective 5258724 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 0.059pp · expected |Δp| over horizon 0.76ppterminal variance p(1−p) = 0.2404 · n = 5000n = 5000
μ per bar
+0.000pp
average Δp · drift
σ per bar
0.059pp
one-bar volatility · logit-free
Per-day movedaily
0.29pp
σ × √24
Per-horizon move7d
0.76pp
σ × √168
Terminal variancebinary
0.2404
p(1−p) at resolution
Current pricep
59.8¢
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 0.10pp · ES₉₅ 0.12pp · method parametric · drift-correcteddrift +0.000pp/bar · quantised: yes · median step 0.01pp · unique ratio 0.01n = 5000
VaR 95%
0.10pp
1.645·σ (parametric) of Δp
ES 95%
0.12pp
mean of the tail
Max drawdown
5.3pp
peak 60.8¢ → trough 57.6¢
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
59.8%
= price
Decimal oddsEU
1.673
total return per $1
AmericanUS
-149
risk $149 to win $100
FractionalUK
0.67 / 1
profit per $1 risked
Profit per $100stake
+$67.28
clean dollar framing
-1000-5000+500+1000020406080100you · 59.8%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)
0.972 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.972 bit
Δ +0.000 bit vs market
Surprise · YES−log₂ p
0.74 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 10:14:02 UTC
Snapshot age
4.4s
Page rendered
2026-06-14 10:14:06 UTC
History points
25 closes · 25 counter-side closes
Storage policy
no persistence — fetched on every request
SHA-256 attestation
a005d2a6323b05336c76e9b698f115a292b73c2f14bbfc3a617fd45409202e3e · 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)
227.70%
σ per bar = 0.000993
Mean return (annualised)
1557.35%
μ per bar = 0.000003
Sharpe (rf=0)
6.84
annualised; risk-free assumed zero
Max drawdown
5.29%
peak 0.61 → trough 0.58 over 2372 bars

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