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HYPERLIQUID · HIP-3 PREDICTION MARKET · OUTCOME #205

Portugal

Primary · Yes
12.0¢
Counter · No
88.0¢

▸ Advanced metrics · M2M bundle

hyperliquid · pred-portugal-205 · fresh · feed 2s old
24h sparkline · 60 pts
realized vol (ann.)
26.14%
max drawdown
3.10%
sharpe
ulcer index
1.92%
RMS drawdown
pain index
1.62%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
3.10%
cond. drawdown
gain/pain
1.38
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
1.38
upside/downside
roll spread
0.5 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-portugal-205/bundle · venue execution: hyperliquid
LIVEPOLL0SRCFRESH1.8s--:--:-- 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
12.0¢
No mid · live
88.0¢
Yes · live 24h price
n=25 · μ=0.1113 · σ=0.0052 · range [0.1072, 0.1225] · R²=0.487 RISING +8.09%σ NORMAL 4.65%LAST 0.11670.12250.11870.11490.11110.1072μ = 0.1113max 0.1225min 0.1072dataMA(5)OLS R²=0.49μ lineμ ± σ bandmaxminlive endpoint
25 bars · close 11.67¢ · 24h +8.09%
Probability split · live
Yes 12.0%No 88.0%NO88.0%87.99¢ · odds 1/1.14
Σ 100.00% · fair
Σ-sides total = 100.00% (tight rounding)
H(p) entropy = 0.530 / 1.00 bits (53%) · moderate uncertainty
Yes
12.0%12.0¢8.33× +0.00pp
No
88.0%88.0¢1.14× +0.00pp
primary vs counter implied %
Volume · per-hour contracts · live
n=25 · Σ=90,596 · μ=3623.8 · σ=9247.3 · CV=2.55BURSTY · concentratedcumulative energy ↗ · 50% by h=21010,75021,49932,24942,998μ = 362442,99850%h1h5h9h13h17h21h25#1 peak#2-3> μactivequietμ linecum energy
Σ 90596 · peak 42998
Live numerics · pulse on poll
LIVE NUMERICS8 metrics·POLL 0
snapshot age
1.8s
Yes mid
12.008¢
No mid
87.992¢
ΣΣ sides
100.00%
Σarb gap |1 − Σ|
0.00pp
Δ24h candles
25 bars
Δ24h close
11.67¢
Δ24h change
+8.09%

§1 · 24h time-series

Mid price · Yes (25 hourly observations)
n=25 · μ=0.1113 · σ=0.0052 · range [0.1072, 0.1225] · R²=0.487 RISING +8.09%σ NORMAL 4.65%LAST 0.11670.12250.11870.11490.11110.1072μ = 0.1113max 0.1225min 0.1072dataMA(5)OLS R²=0.49μ lineμ ± σ bandmaxmin
range [10.72¢, 12.25¢] · span 1.53pp · MA(5) latest 11.56¢
Candlestick · open / high / low / close per hour
n=25 · up 21 · down 4 (84% up) · range [0.1072, 0.1225] · σ=0.0052 · CV=0.05 · bodyµ=45%STRONG BULLISH +8.09%CLOSE 0.1167 vs OPEN 0.1080 (+8.09%)&#9650; CLOSE 0.11670.12250.11870.11490.11110.1072μ close = 0.1113O0.108 H0.108 L0.108 C0.108 (+0.00%)O0.108 H0.108 L0.108 C0.108 (+0.00%)O0.108 H0.108 L0.108 C0.108 (+0.00%)O0.108 H0.108 L0.108 C0.108 (+0.00%)O0.108 H0.108 L0.108 C0.108 (+0.00%)O0.108 H0.108 L0.108 C0.108 (+0.00%)O0.108 H0.108 L0.108 C0.108 (+0.00%)O0.108 H0.108 L0.108 C0.108 (+0.00%)O0.108 H0.108 L0.108 C0.108 (+0.00%)O0.108 H0.108 L0.108 C0.108 (+0.00%)O0.108 H0.109 L0.108 C0.109 (+0.90%)O0.108 H0.109 L0.108 C0.109 (+0.90%)O0.109 H0.109 L0.109 C0.109 (+0.02%)O0.109 H0.109 L0.109 C0.109 (+0.02%)O0.109 H0.109 L0.107 C0.107 (-1.41%)O0.109 H0.109 L0.107 C0.107 (-1.41%)O0.107 H0.107 L0.107 C0.107 (+0.00%)O0.107 H0.107 L0.107 C0.107 (+0.00%)O0.107 H0.107 L0.107 C0.107 (+0.00%)O0.107 H0.107 L0.107 C0.107 (+0.00%)O0.109 H0.109 L0.109 C0.109 (+0.06%)O0.109 H0.109 L0.109 C0.109 (+0.06%)O0.109 H0.109 L0.109 C0.109 (+0.05%)O0.109 H0.109 L0.109 C0.109 (+0.05%)O0.109 H0.109 L0.107 C0.107 (-1.38%)O0.109 H0.109 L0.107 C0.107 (-1.38%)O0.107 H0.107 L0.107 C0.107 (+0.00%)O0.107 H0.107 L0.107 C0.107 (+0.00%)O0.109 H0.109 L0.109 C0.109 (+0.05%)O0.109 H0.109 L0.109 C0.109 (+0.05%)O0.109 H0.109 L0.109 C0.109 (+0.06%)O0.109 H0.109 L0.109 C0.109 (+0.06%)O0.109 H0.109 L0.109 C0.109 (+0.00%)O0.109 H0.109 L0.109 C0.109 (+0.00%)12.6%O0.109 H0.123 L0.109 C0.123 (+12.61%)O0.109 H0.123 L0.109 C0.123 (+12.61%)O0.123 H0.123 L0.123 C0.123 (+0.00%)O0.123 H0.123 L0.123 C0.123 (+0.00%)O0.121 H0.121 L0.121 C0.121 (+0.01%)O0.121 H0.121 L0.121 C0.121 (+0.01%)O0.119 H0.119 L0.117 C0.117 (-1.76%)O0.119 H0.119 L0.117 C0.117 (-1.76%)O0.117 H0.117 L0.117 C0.117 (+0.00%)O0.117 H0.117 L0.117 C0.117 (+0.00%)O0.115 H0.115 L0.114 C0.114 (-0.82%)O0.115 H0.115 L0.114 C0.114 (-0.82%)O0.114 H0.114 L0.114 C0.114 (+0.00%)O0.114 H0.114 L0.114 C0.114 (+0.00%)O0.117 H0.117 L0.117 C0.117 (+0.00%)O0.117 H0.117 L0.117 C0.117 (+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 11.67¢
Hourly traded contracts
n=25 · Σ=90,596 · μ=3623.8 · σ=9247.3 · CV=2.55BURSTY · concentratedcumulative energy &nearr; · 50% by h=21010,75021,49932,24942,998μ = 36242,344 · 5.5% peak2,344 · 5.5% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak167 · 0.4% peak167 · 0.4% peak0 · 0.0% peak0 · 0.0% peak2,127 · 4.9% peak2,127 · 4.9% peak1,037 · 2.4% peak1,037 · 2.4% peak5,834 · 13.6% peak5,834 · 13.6% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak925 · 2.2% peak925 · 2.2% peak605 · 1.4% peak605 · 1.4% peak19,566 · 45.5% peak19,566 · 45.5% peak0 · 0.0% peak0 · 0.0% peak625 · 1.5% peak625 · 1.5% peak2,682 · 6.2% peak2,682 · 6.2% peak0 · 0.0% peak0 · 0.0% peak1,138 · 2.6% peak1,138 · 2.6% peak0 · 0.0% peak0 · 0.0% peak831 · 1.9% peak831 · 1.9% peak9,644 · 22.4% peak9,644 · 22.4% peak0 · 0.0% peak0 · 0.0% peak42,99842,998 · 100.0% peak42,998 · 100.0% peak0 · 0.0% peak0 · 0.0% peak73 · 0.2% peak73 · 0.2% peak50%#1#5#9#13#17#21#25#1 peak#2-3> μactivequietμ linecum energy
Σ vol = 90596 · peak 42998 · mean 3623.8

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

Histogram of Δp
n=24 · 12 bins · μ=-0.0001 · σ=0.0030 · skew=3.29 (right-skewed) · kurt=12.09 (leptokurtic (fat tails))15118402-0.37ppbin -0.37pp · n=2 · 13.3% peakbin -0.37pp · n=2 · 13.3% peak2-0.22ppbin -0.22pp · n=2 · 13.3% peakbin -0.22pp · n=2 · 13.3% peak15-0.06ppbin -0.06pp · n=15 · 100.0% peakbin -0.06pp · n=15 · 100.0% peak30.09ppbin 0.09pp · n=3 · 20.0% peakbin 0.09pp · n=3 · 20.0% peak10.24ppbin 0.24pp · n=1 · 6.7% peakbin 0.24pp · n=1 · 6.7% peak0.39pp0.54pp0.69pp0.84pp1.00pp1.15pp11.30ppbin 1.30pp · n=1 · 6.7% peakbin 1.30pp · n=1 · 6.7% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=24 · positive 7 · negative 6
Q-Q plot · standardised Δp vs N(0,1)
n=24 · skew=3.05 · kurt=11.22 · near 6 / mid 17 / far 1 · OLS slope=0.78 intercept=-0.00LEPTOKURTIC — FAT TAILSUPPER TAIL NORMALTHIN LOWER TAIL-3σ-3σ-2σ-2σ-1σ-1σ+0σ+0σ+1σ+1σ+2σ+2σ+3σ+3σΔ=+2.24σsample ↓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=25STRONGLY RIGHT-SKEWED (G₁=1.10)
μ MEAN11.13¢95% CI: [10.92¢, 11.33¢]
σ STD DEV0.52ppσ² = 0.268 · CV = 4.65%
med MEDIAN10.88¢Q₁ 10.78¢ · Q₃ 11.38¢
FIVE-NUMBER SUMMARY · BOX PLOT
min 10.72¢Q₁ 10.78¢med 10.88¢Q₃ 11.38¢max 12.25¢μ
SKEWNESS · G₁1.098right-skewed
−3−10+1+3
EXCESS KURTOSIS · G₂-0.348mesokurtic · normal-like
−30+2+4+6
μ ↔ medianμ > med · right-tailed|μ−med| / σ = 0.48
σ × 1.349 ↔ IQRconsistent with normalratio = 1.17
range ↔ σconcentrated (range < 4σ)range / σ = 2.95
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: INDETERMINATE · weak signal at n=24
ρ(1) AUTOCORR+0.012within white-noise band
ρ(2) AUTOCORR-0.078lag-2 not significant
H · HURST EXPONENT0.540random-walk
OLS TREND · t-STAT+4.677significant @ α=0.05
HURST EXPONENT [0, 1]
H = 0.540RANDOM-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+0.012k=2-0.078k=3-0.187k=4-0.061k=5-0.3010+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 CLASSIFICATIONINDETERMINATE · weak signal at n=24from Hurst + ρ(1) joint diagnosis
PREDICTABILITY · score 0.09low · ~ unpredictable|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCESIGNIFICANT @ 1% (|t|=4.68)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#205
SLUGportugal-205
QUOTE TOKENUSDC
TWO-SIDED PRICING
PRIMARY · YES12.01¢implied prob 12.01% · decimal odds 8.33×
COUNTER · NO87.99¢implied prob 87.99% · decimal odds 1.14×
12.01¢
87.99¢
Σ-SIDES ARBITRAGE TEST
0%50%100% · target110%
Σ = 100.00% · |1 − Σ| = 0.000pp
24H ACTIVITY · LIQUIDITY
24H VOLUME90.60k contracts
MARKET QUALITYPERFECT · ARB-FREE Σ=100.00%|1−Σ| ≤ 0.5pp ⇒ fair · > 2pp ⇒ inefficient
PRICING SKEWFAVOURS NO (88¢)|primary − counter| = 0.760 · entropy 0.530 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 12.0%No 88.0%YES12.0%H = 0.530 / 1.00 bits
Probability scale (Yes)
0%25%50%
fair
75%100%
Implied decimal odds
Yes8.33×(12¢)No1.14×(88¢)
Kelly bet-size (% of bankroll) K* = 0.00%
K* full
0.00%
½K half
0.00%
¼K quarter
0.00%
Entropy H(p̂) = 0.530 bits (53% of max) · moderate 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 Portugal 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=24 bars · best 1.37% · worst -0.44% · typical |Δ| 0.14%MILD BULLISH +0.87%BEST+1.37%03hWORST-0.44%06hTYPICAL |Δ|0.14%mean absoluteCUMULATIVE+0.87%Σ signed ΔSTREAK↗ 1up-runASIA · 00-08 UTCμ +0.12% · Σ +0.97%EUROPE · 08-16 UTCμ +0.01% · Σ +0.06%US · 16-24 UTCμ -0.02% · Σ -0.15%CUMULATIVE Δ PATH · final +0.87%+1.45%-0.08%0.00% · 11h0.00% · 11h·11h0.00% · 12h0.00% · 12h·12h-0.02% · 13h-0.02% · 13h-0.02%13h0.00% · 14h0.00% · 14h·14h0.10% · 15h0.10% · 15h0.10%15h0.00% · 16h0.00% · 16h0.00%16h-0.15% · 17h-0.15% · 17h-0.15%17h0.00% · 18h0.00% · 18h·18h0.00% · 19h0.00% · 19h·19h0.15% · 20h0.15% · 20h0.15%20h0.00% · 21h0.00% · 21h·21h-0.15% · 22h-0.15% · 22h-0.15%22h0.00% · 23h0.00% · 23h·23h0.14% · 00h0.14% · 00h0.14%00h0.01% · 01h0.01% · 01h0.01%01h0.00% · 02h0.00% · 02h·02h1.37% · 03h1.37% · 03h1.37%03h★ BEST0.00% · 04h0.00% · 04h·04h-0.11% · 05h-0.11% · 05h-0.11%05h-0.44% · 06h-0.44% · 06h-0.44%06h▼ WORST0.00% · 07h0.00% · 07h·07h-0.32% · 08h-0.32% · 08h-0.32%08h0.00% · 09h0.00% · 09h·09h0.29% · 10h0.29% · 10h0.29%10hTIME PATTERNAsia-led (+0.97%)RUNSup max 2 · down max 2BREADTH29% up · 25% down · 46% flat
7 up bars · 6 down · best 1.37% · worst -0.44% · typical |Δ| 0.136%

§11 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=25 barsPROFITABLE +0.87%FINAL+0.87%MAX DD-0.87%RECOVERYONGOING · 6 barsMAX RUN-UP+1.45%UNDERWATER18/25 (72%)STREAK↗ 1EQUITY CURVE · end 1.0087 · peak 1.0145 · range [0.9992, 1.0145]1.01450.9992break-even = 1★ PEAK 1.0145UNDERWATER DRAWDOWN · max -0.87% · shallow0%-0.87%▼ TROUGH -0.87%TOP DRAWDOWN PERIODS · 3 total#1 -0.87%bar 20-25 · 6 bars · ONGOING#2 -0.15%bar 8-17 · 10 bars · recovered#3 -0.02%bar 4-5 · 2 bars · recoveredDD SEVERITYshallow (max -0.87%)RECOVERYongoing · 6 barsTIME UNDER WATER72% of session · 18/25 bars
final equity 1.0087 (0.87%) · max DD -0.87% · time-under-water 18/25 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +12 / −7 (63% positive) · μ=4.88 · σ=28.37MIXED EDGELAST -34.51 (-1.39σ vs μ)71.3235.660.00-35.66-71.32μ = 4.8829.4229.42-14.62-14.62-14.62-14.62-10.77-10.7714.6114.610.320.32-20.24-20.240.810.8120.3120.3121.3421.34-0.34-0.3437.6437.6443.0443.0438.9838.9820.4620.4620.2820.2811.9311.93-71.32-71.32-34.51-34.51v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -34.508 · range [-71.32, 43.04] · μ 4.880 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=24.9690 · σ=22.2853 · range [3.9205, 61.4384] · R²=0.490 RISING +522.69%σ EXTREME 89.25%LAST 24.412361.438447.058932.679418.29993.9205μ = 24.9690max 61.4384min 3.9205dataMA(3)OLS R²=0.49μ lineμ ± σ bandmaxmin
latest 24.41% · range [3.92%, 61.44%] · μ 24.97% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +6 / −13 (32% positive) · μ=-0.070 · σ=0.145MEAN-REVERSIONLAST -0.095 (-0.17σ vs μ)0.5380.2690.000-0.269-0.538μ = -0.070-0.113-0.1130.0220.022-0.030-0.030-0.022-0.0220.0380.038-0.006-0.0060.0490.049-0.000-0.000-0.011-0.0110.0090.0090.0230.023-0.053-0.053-0.295-0.295-0.238-0.238-0.072-0.072-0.041-0.0410.0410.041-0.538-0.538-0.095-0.095v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.095 · |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
245.6209
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
4.3059
p-VALUE (log scale)
0.5079
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
-1.3884
p-VALUE (log scale)
0.5865
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
0.3140
p-VALUE (log scale)
0.7535
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedsigns appear random (8 runs)
χ

KPSS (μ stationarity)

REJECT H₀*

H₀: p IS level-stationary

STATISTIC
0.5873
p-VALUE (log scale)
0.0238
α
10⁻⁴10⁻³10⁻²10⁻¹1
p < α · rejection zonenon-stationary (crit 0.463)
χ

Variance ratio q=3

FAIL TO REJECTns

H₀: Δp is a random walk · VR = 1

STATISTIC
0.1172
p-VALUE (log scale)
0.9067
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 1.036 ≈ 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=1.02e-5 · top T=8.00h (16.0%) · top-3 cover 41.1%WHITE NOISE · no dominant cyclecumulative energy ↗ (0 bins above 2× noise)2.0e-51.5e-59.8e-64.9e-60.0e+0μ noise floorperiod 24.0 · power 4.04e-6 · 3.3% energyperiod 24.0 · power 4.04e-6 · 3.3% energyperiod 12.0 · power 1.14e-5 · 9.3% energyperiod 12.0 · power 1.14e-5 · 9.3% energyperiod 8.0 · power 1.96e-5 · 16.0% energyperiod 8.0 · power 1.96e-5 · 16.0% energyperiod 6.0 · power 1.51e-5 · 12.4% energyperiod 6.0 · power 1.51e-5 · 12.4% energyperiod 4.8 · power 1.94e-6 · 1.6% energyperiod 4.8 · power 1.94e-6 · 1.6% energyperiod 4.0 · power 1.31e-5 · 10.7% energyperiod 4.0 · power 1.31e-5 · 10.7% energyperiod 3.4 · power 1.55e-5 · 12.7% energyperiod 3.4 · power 1.55e-5 · 12.7% energyperiod 3.0 · power 8.23e-6 · 6.7% energyperiod 3.0 · power 8.23e-6 · 6.7% energyperiod 2.7 · power 1.42e-6 · 1.2% energyperiod 2.7 · power 1.42e-6 · 1.2% energyperiod 2.4 · power 8.30e-6 · 6.8% energyperiod 2.4 · power 8.30e-6 · 6.8% energyperiod 2.2 · power 1.42e-5 · 11.6% energyperiod 2.2 · power 1.42e-5 · 11.6% energyperiod 2.0 · power 9.45e-6 · 7.7% energyperiod 2.0 · power 9.45e-6 · 7.7% energy50% by T=4.0h#1 dominantT=8.00h#2T=3.43h#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 ≈ 8.00h (freq 0.125) · concentrates 16.0% of total energy · Σ|X̂|²/n = 1.223e-4

▸ 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 0.017pp · expected |Δp| over horizon 0.22ppterminal variance p(1−p) = 0.1057 · n = 5000n = 5000
μ per bar
+0.000pp
average Δp · drift
σ per bar
0.017pp
one-bar volatility · logit-free
Per-day movedaily
0.08pp
σ × √24
Per-horizon move7d
0.22pp
σ × √168
Terminal variancebinary
0.1057
p(1−p) at resolution
Current pricep
12.0¢
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 0.03pp · ES₉₅ 0.03pp · method parametric · drift-correcteddrift +0.000pp/bar · quantised: yes · median step 0.00pp · unique ratio 0.03n = 5000
VaR 95%
0.03pp
1.645·σ (parametric) of Δp
ES 95%
0.03pp
mean of the tail
Max drawdown
8.9pp
peak 12.5¢ → trough 11.3¢
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
12.0%
= price
Decimal oddsEU
8.327
total return per $1
AmericanUS
+733
$100 wins $733
FractionalUK
7.33 / 1
profit per $1 risked
Profit per $100stake
+$732.74
clean dollar framing
-1000-5000+500+1000020406080100you · 12.0%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)
0.530 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.530 bit
Δ +0.000 bit vs market
Surprise · YES−log₂ p
3.06 bit
self-information
Surprise · NO−log₂(1−p)
0.18 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 10:15:26 UTC
Snapshot age
1.8s
Page rendered
2026-06-14 10:15:28 UTC
History points
25 closes · 25 counter-side closes
Storage policy
no persistence — fetched on every request
SHA-256 attestation
239dce3e8bd9e719344271ff060447c7f676cf9e274364db19bdcd61e7de7d75 · 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)
328.12%
σ per bar = 0.001431
Mean return (annualised)
11011.94%
μ per bar = 0.000021
Sharpe (rf=0)
33.56
annualised; risk-free assumed zero
Max drawdown
8.89%
peak 0.12 → trough 0.11 over 2647 bars

/api/asset/hl-pred-portugal-205/risk · same metrics, JSON