HYPERLIQUID · HIP-3 PREDICTION MARKET · OUTCOME #205

Portugal

Primary · Yes
11.3¢
Counter · No
88.7¢

▸ Advanced metrics · M2M bundle

hyperliquid · pred-portugal-205 · fresh · feed 3s old
24h sparkline · 60 pts
realized vol (ann.)
49.68%
max drawdown
5.83%
sharpe
ulcer index
2.67%
RMS drawdown
pain index
1.42%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
5.83%
cond. drawdown
gain/pain
0.92
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
0.92
upside/downside
roll spread
5.6 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-portugal-205/bundle · venue execution: hyperliquid
LIVEPOLL0SRCFRESH2.9s--:--:-- 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
11.3¢
No mid · live
88.7¢
Yes · live 24h price
n=24 · μ=0.1130 · σ=0.0053 · range [0.1072, 0.1225] · R²=0.386 RISING +4.79%σ NORMAL 4.73%LAST 0.11400.12250.11870.11490.11110.1072μ = 0.1130max 0.1225min 0.1072dataMA(4)OLS R²=0.39μ lineμ ± σ bandmaxminlive endpoint
24 bars · close 11.40¢ · 24h +4.79%
Probability split · live
Yes 11.3%No 88.7%NO88.7%88.72¢ · odds 1/1.13
Σ 100.00% · fair
Σ-sides total = 100.00% (tight rounding)
H(p) entropy = 0.508 / 1.00 bits (51%) · moderate uncertainty
Yes
11.3%11.3¢8.86× +0.00pp
No
88.7%88.7¢1.13× +0.00pp
primary vs counter implied %
Volume · per-hour contracts · live
n=24 · Σ=92,734 · μ=3863.9 · σ=9375.2 · CV=2.43BURSTY · concentratedcumulative energy ↗ · 50% by h=17010,75021,49932,24942,998μ = 386442,99850%h1h5h9h13h17h21#1 peak#2-3> μactivequietμ linecum energy
Σ 92734 · peak 42998
Live numerics · pulse on poll
LIVE NUMERICS8 metrics·POLL 0
snapshot age
2.9s
Yes mid
11.282¢
No mid
88.718¢
ΣΣ sides
100.00%
Σarb gap |1 − Σ|
0.00pp
Δ24h candles
24 bars
Δ24h close
11.40¢
Δ24h change
+4.79%

§1 · 24h time-series

Mid price · Yes (24 hourly observations)
n=24 · μ=0.1130 · σ=0.0053 · range [0.1072, 0.1225] · R²=0.386 RISING +4.79%σ NORMAL 4.73%LAST 0.11400.12250.11870.11490.11110.1072μ = 0.1130max 0.1225min 0.1072dataMA(4)OLS R²=0.39μ lineμ ± σ bandmaxmin
range [10.72¢, 12.25¢] · span 1.53pp · MA(5) latest 11.52¢
Candlestick · open / high / low / close per hour
n=24 · up 20 · down 4 (83% up) · range [0.1072, 0.1225] · σ=0.0053 · CV=0.05 · bodyµ=55%STRONG BULLISH +4.81%CLOSE 0.1140 vs OPEN 0.1088 (+4.81%)&#9650; CLOSE 0.11400.12250.11870.11490.11110.1072μ close = 0.1130O0.109 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 H0.120 L0.117 C0.120 (+2.61%)O0.117 H0.120 L0.117 C0.120 (+2.61%)O0.120 H0.120 L0.120 C0.120 (+0.00%)O0.120 H0.120 L0.120 C0.120 (+0.00%)O0.116 H0.116 L0.116 C0.116 (+0.00%)O0.116 H0.116 L0.116 C0.116 (+0.00%)O0.112 H0.114 L0.112 C0.114 (+1.42%)O0.112 H0.114 L0.112 C0.114 (+1.42%)O0.113 H0.113 L0.113 C0.113 (+0.00%)O0.113 H0.113 L0.113 C0.113 (+0.00%)O0.114 H0.114 L0.114 C0.114 (+0.04%)O0.114 H0.114 L0.114 C0.114 (+0.04%)#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 11.40¢
Hourly traded contracts
n=24 · Σ=92,734 · μ=3863.9 · σ=9375.2 · CV=2.43BURSTY · concentratedcumulative energy &nearr; · 50% by h=17010,75021,49932,24942,998μ = 38641,037 · 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% peak1,908 · 4.4% peak1,908 · 4.4% peak1,027 · 2.4% peak1,027 · 2.4% peak526 · 1.2% peak526 · 1.2% peak1,691 · 3.9% peak1,691 · 3.9% peak994 · 2.3% peak994 · 2.3% peak703 · 1.6% peak703 · 1.6% peak50%#1#5#9#13#17#21#1 peak#2-3> μactivequietμ linecum energy
Σ vol = 92734 · peak 42998 · mean 3863.9

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

Histogram of Δp
n=23 · 12 bins · μ=-0.0002 · σ=0.0034 · skew=2.66 (right-skewed) · kurt=7.83 (leptokurtic (fat tails))1296303-0.37ppbin -0.37pp · n=3 · 25.0% peakbin -0.37pp · n=3 · 25.0% peak3-0.22ppbin -0.22pp · n=3 · 25.0% peakbin -0.22pp · n=3 · 25.0% peak12-0.06ppbin -0.06pp · n=12 · 100.0% peakbin -0.06pp · n=12 · 100.0% peak30.09ppbin 0.09pp · n=3 · 25.0% peakbin 0.09pp · n=3 · 25.0% peak0.24pp0.39pp10.54ppbin 0.54pp · n=1 · 8.3% peakbin 0.54pp · n=1 · 8.3% peak0.69pp0.84pp1.00pp1.15pp11.30ppbin 1.30pp · n=1 · 8.3% peakbin 1.30pp · n=1 · 8.3% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=23 · positive 6 · negative 9
Q-Q plot · standardised Δp vs N(0,1)
n=23 · skew=2.40 · kurt=6.93 · near 11 / mid 11 / far 1 · OLS slope=0.86 intercept=-0.00LEPTOKURTIC — FAT TAILSUPPER TAIL NORMALLOWER TAIL NORMAL-3σ-3σ-2σ-2σ-1σ-1σ+0σ+0σ+1σ+1σ+2σ+2σ+3σ+3σΔ=+1.81σsample ↓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=-1.31)
μ MEAN11.30¢95% CI: [11.09¢, 11.52¢]
σ STD DEV0.53ppσ² = 0.286 · CV = 4.73%
med MEDIAN11.32¢Q₁ 10.88¢ · Q₃ 11.70¢
FIVE-NUMBER SUMMARY · BOX PLOT
min 10.72¢Q₁ 10.88¢med 11.32¢Q₃ 11.70¢max 12.25¢μ
SKEWNESS · G₁0.440approximately symmetric
−3−10+1+3
EXCESS KURTOSIS · G₂-1.310platykurtic · thin tails
−30+2+4+6
μ ↔ median≈ equal · symmetric|μ−med| / σ = 0.03
σ × 1.349 ↔ IQRconsistent with normalratio = 0.88
range ↔ σconcentrated (range < 4σ)range / σ = 2.85
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=23
ρ(1) AUTOCORR+0.042within white-noise band
ρ(2) AUTOCORR-0.162lag-2 not significant
H · HURST EXPONENT0.810strongly persistent
OLS TREND · t-STAT+3.718significant @ α=0.05
HURST EXPONENT [0, 1]
H = 0.810STRONGLY 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+0.042k=2-0.162k=3-0.207k=4-0.080k=5-0.2050+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 CLASSIFICATIONINDETERMINATE · weak signal at n=23from Hurst + ρ(1) joint diagnosis
PREDICTABILITY · score 0.66very high · strong structure|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCESIGNIFICANT @ 1% (|t|=3.72)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 · YES11.28¢implied prob 11.28% · decimal odds 8.86×
COUNTER · NO88.72¢implied prob 88.72% · decimal odds 1.13×
11.28¢
88.72¢
Σ-SIDES ARBITRAGE TEST
0%50%100% · target110%
Σ = 100.00% · |1 − Σ| = 0.000pp
24H ACTIVITY · LIQUIDITY
24H VOLUME92.73k contracts
MARKET QUALITYPERFECT · ARB-FREE Σ=100.00%|1−Σ| ≤ 0.5pp ⇒ fair · > 2pp ⇒ inefficient
PRICING SKEWFAVOURS NO (89¢)|primary − counter| = 0.774 · entropy 0.508 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 11.3%No 88.7%YES11.3%H = 0.508 / 1.00 bits
Probability scale (Yes)
0%25%50%
fair
75%100%
Implied decimal odds
Yes8.86×(11¢)No1.13×(89¢)
Kelly bet-size (% of bankroll) K* = 0.00%
K* full
0.00%
½K half
0.00%
¼K quarter
0.00%
Entropy H(p̂) = 0.508 bits (51% 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=23 bars · best 1.37% · worst -0.44% · typical |Δ| 0.19%MILD BULLISH +0.52%BEST+1.37%03hWORST-0.44%06hTYPICAL |Δ|0.19%mean absoluteCUMULATIVE+0.52%Σ signed ΔSTREAK↗ 1up-runASIA · 00-08 UTCμ +0.12% · Σ +0.97%EUROPE · 08-16 UTCμ -0.04% · Σ -0.30%US · 16-24 UTCμ -0.02% · Σ -0.15%CUMULATIVE Δ PATH · final +0.52%+1.37%-0.15%-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·09h0.60% · 10h0.60% · 10h0.60%10h-0.00% · 11h-0.00% · 11h-0.00%11h-0.39% · 12h-0.39% · 12h-0.39%12h-0.19% · 13h-0.19% · 13h-0.19%13h-0.13% · 14h-0.13% · 14h-0.13%14h0.14% · 15h0.14% · 15h0.14%15hTIME PATTERNAsia-led (+0.97%)RUNSup max 2 · down max 4BREADTH26% up · 39% down · 35% flat
6 up bars · 9 down · best 1.37% · worst -0.44% · typical |Δ| 0.188%

§11 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=24 barsPROFITABLE +0.51%FINAL+0.51%MAX DD-0.99%RECOVERYONGOING · 11 barsMAX RUN-UP+1.37%UNDERWATER21/24 (88%)STREAK↗ 1EQUITY CURVE · end 1.0051 · peak 1.0137 · range [0.9985, 1.0137]1.01370.9985break-even = 1★ PEAK 1.0137UNDERWATER DRAWDOWN · max -0.99% · shallow0%-0.99%▼ TROUGH -0.99%TOP DRAWDOWN PERIODS · 2 total#1 -0.99%bar 14-24 · 11 bars · ONGOING#2 -0.15%bar 2-11 · 10 bars · recoveredDD SEVERITYshallow (max -0.99%)RECOVERYongoing · 11 barsTIME UNDER WATER88% of session · 21/24 bars
final equity 1.0051 (0.51%) · max DD -0.99% · time-under-water 21/24 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +10 / −8 (53% positive) · μ=-1.14 · σ=36.70MIXED EDGELAST -54.04 (-1.44σ vs μ)82.5141.260.00-41.26-82.51μ = -1.140.000.000.870.870.870.8721.9321.93-0.36-0.36-0.36-0.3647.4147.4147.4147.4137.7837.7821.8921.8921.8921.89-82.51-82.51-82.51-82.51-7.38-7.3815.8315.83-5.27-5.270.810.81-5.92-5.92-54.04-54.04v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -54.036 · range [-82.51, 47.41] · μ -1.141 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=31.3182 · σ=20.5390 · range [9.6395, 65.5474] · R²=0.094 RISING +83.00%σ EXTREME 65.58%LAST 18.772965.547451.570537.593523.61659.6395μ = 31.3182max 65.5474min 9.6395dataMA(3)OLS R²=0.09μ lineμ ± σ bandmaxmin
latest 18.77% · range [9.64%, 65.55%] · μ 31.32% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +7 / −11 (37% positive) · μ=-0.090 · σ=0.221CLOSE TO MARTINGALELAST -0.090 (+0.00σ vs μ)0.7210.3600.000-0.360-0.721μ = -0.0900.0000.000-0.003-0.003-0.000-0.0000.0570.0570.0230.0230.0250.025-0.095-0.095-0.354-0.354-0.261-0.261-0.094-0.0940.0580.058-0.494-0.494-0.721-0.721-0.017-0.017-0.044-0.0440.0200.0200.1350.1350.1520.152-0.090-0.090v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.090 · |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
103.5954
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
3.5344
p-VALUE (log scale)
0.6206
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
-1.7152
p-VALUE (log scale)
0.4308
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
-0.1120
p-VALUE (log scale)
0.9108
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
0.5030
p-VALUE (log scale)
0.0410
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
0.3987
p-VALUE (log scale)
0.6901
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 1.083 ≈ 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=1.30e-5 · top T=7.67h (21.9%) · top-3 cover 53.6%1 SIGNIFICANT CYCLEcumulative energy ↗ (1 bin above 2× noise)3.1e-52.3e-51.6e-57.8e-60.0e+0μ noise floor2× noise (significance)period 23.0 · power 9.12e-6 · 6.4% energyperiod 23.0 · power 9.12e-6 · 6.4% energyperiod 11.5 · power 4.67e-6 · 3.3% energyperiod 11.5 · power 4.67e-6 · 3.3% energyperiod 7.7 · power 3.13e-5 · 21.9% energyperiod 7.7 · power 3.13e-5 · 21.9% energyperiod 5.8 · power 2.00e-5 · 13.9% energyperiod 5.8 · power 2.00e-5 · 13.9% energyperiod 4.6 · power 1.52e-7 · 0.1% energyperiod 4.6 · power 1.52e-7 · 0.1% energyperiod 3.8 · power 2.54e-5 · 17.8% energyperiod 3.8 · power 2.54e-5 · 17.8% energyperiod 3.3 · power 1.86e-5 · 13.0% energyperiod 3.3 · power 1.86e-5 · 13.0% energyperiod 2.9 · power 1.53e-6 · 1.1% energyperiod 2.9 · power 1.53e-6 · 1.1% energyperiod 2.6 · power 7.04e-6 · 4.9% energyperiod 2.6 · power 7.04e-6 · 4.9% energyperiod 2.3 · power 1.38e-5 · 9.6% energyperiod 2.3 · power 1.38e-5 · 9.6% energyperiod 2.1 · power 1.16e-5 · 8.1% energyperiod 2.1 · power 1.16e-5 · 8.1% energy50% by T=3.8h#1 dominantT=7.67h#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 ≈ 7.67h (freq 0.130) · concentrates 21.9% of total energy · Σ|X̂|²/n = 1.432e-4

▸ 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 0.018pp · expected |Δp| over horizon 0.23ppterminal variance p(1−p) = 0.1001 · n = 5000n = 5000
μ per bar
-0.000pp
average Δp · drift
σ per bar
0.018pp
one-bar volatility · logit-free
Per-day movedaily
0.09pp
σ × √24
Per-horizon move7d
0.23pp
σ × √168
Terminal variancebinary
0.1001
p(1−p) at resolution
Current pricep
11.3¢
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 0.04pp · method parametric · drift-correcteddrift -0.000pp/bar · quantised: yes · median step 0.00pp · unique ratio 0.02n = 5000
VaR 95%
0.03pp
1.645·σ (parametric) of Δp
ES 95%
0.04pp
mean of the tail
Max drawdown
7.2pp
peak 12.1¢ → trough 11.2¢
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
11.3%
= price
Decimal oddsEU
8.864
total return per $1
AmericanUS
+786
$100 wins $786
FractionalUK
7.86 / 1
profit per $1 risked
Profit per $100stake
+$786.37
clean dollar framing
-1000-5000+500+1000020406080100you · 11.3%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)
0.508 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.508 bit
Δ +0.000 bit vs market
Surprise · YES−log₂ p
3.15 bit
self-information
Surprise · NO−log₂(1−p)
0.17 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 16:04:19 UTC
Snapshot age
2.9s
Page rendered
2026-06-14 16:04:22 UTC
History points
24 closes · 24 counter-side closes
Storage policy
no persistence — fetched on every request
SHA-256 attestation
7a78dca499899daae8681433fa06e8c0d2de876e674943ea467473882982c24d · 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)
344.86%
σ per bar = 0.001504
Mean return (annualised)
-3308.23%
μ per bar = -0.000006
Sharpe (rf=0)
-9.59
annualised; risk-free assumed zero
Max drawdown
7.17%
peak 0.12 → trough 0.11 over 986 bars

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