HYPERLIQUID · HIP-3 PREDICTION MARKET · OUTCOME #294

Spain

Primary · Yes
90.3¢
Counter · No
9.7¢

▸ Advanced metrics · M2M bundle

hyperliquid · pred-spain-294 · fresh · feed 3s old
24h sparkline · 60 pts
realized vol (ann.)
57.01%
max drawdown
0.91%
sharpe
ulcer index
0.46%
RMS drawdown
pain index
0.38%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
0.80%
cond. drawdown
gain/pain
0.94
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
0.94
upside/downside
roll spread
3.0 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-spain-294/bundle · venue execution: hyperliquid
LIVEPOLL0SRCFRESH3.0s--:--:-- 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
90.3¢
No mid · live
9.7¢
Yes · live 24h price
n=25 · μ=0.9111 · σ=0.0061 · range [0.9010, 0.9342] · R²=0.119 RISING +0.79%σ LOW 0.67%LAST 0.90830.93420.92590.91760.90930.9010μ = 0.9111max 0.9342min 0.9010dataMA(5)OLS R²=0.12μ lineμ ± σ bandmaxminlive endpoint
25 bars · close 90.83¢ · 24h +0.79%
Probability split · live
Yes 90.3%No 9.7%YES90.3%90.25¢ · odds 1/1.11
Σ 100.00% · fair
Σ-sides total = 100.00% (tight rounding)
H(p) entropy = 0.461 / 1.00 bits (46%) · informative — one side favoured
Yes
90.3%90.3¢1.11× +0.00pp
No
9.7%9.7¢10.26× +0.00pp
primary vs counter implied %
Volume · per-hour contracts · live
n=25 · Σ=13,458 · μ=538.3 · σ=1111.6 · CV=2.07BURSTY · concentratedcumulative energy ↗ · 50% by h=2108991,7992,6983,597μ = 5383,59750%h1h5h9h13h17h21h25#1 peak#2-3> μactivequietμ linecum energy
Σ 13458 · peak 3597
Live numerics · pulse on poll
LIVE NUMERICS8 metrics·POLL 0
snapshot age
3.0s
Yes mid
90.255¢
No mid
9.745¢
ΣΣ sides
100.00%
Σarb gap |1 − Σ|
0.00pp
Δ24h candles
25 bars
Δ24h close
90.83¢
Δ24h change
+0.79%

§1 · 24h time-series

Mid price · Yes (25 hourly observations)
n=25 · μ=0.9111 · σ=0.0061 · range [0.9010, 0.9342] · R²=0.119 RISING +0.79%σ LOW 0.67%LAST 0.90830.93420.92590.91760.90930.9010μ = 0.9111max 0.9342min 0.9010dataMA(5)OLS R²=0.12μ lineμ ± σ bandmaxmin
range [90.10¢, 93.42¢] · span 3.32pp · MA(5) latest 90.94¢
Candlestick · open / high / low / close per hour
n=25 · up 19 · down 6 (76% up) · range [0.9009, 0.9342] · σ=0.0061 · CV=0.01 · bodyµ=20%BEARISH -0.84%CLOSE 0.9083 vs OPEN 0.9160 (-0.84%)&#9660; CLOSE 0.90830.93420.92590.91760.90920.9009μ close = 0.9111-1.6%O0.916 H0.916 L0.901 C0.901 (-1.61%)O0.916 H0.916 L0.901 C0.901 (-1.61%)O0.934 H0.934 L0.934 C0.934 (+0.00%)O0.934 H0.934 L0.934 C0.934 (+0.00%)O0.912 H0.913 L0.912 C0.913 (+0.01%)O0.912 H0.913 L0.912 C0.913 (+0.01%)O0.913 H0.913 L0.913 C0.913 (+0.00%)O0.913 H0.913 L0.913 C0.913 (+0.00%)O0.912 H0.913 L0.910 C0.913 (+0.00%)O0.912 H0.913 L0.910 C0.913 (+0.00%)O0.913 H0.913 L0.913 C0.913 (+0.00%)O0.913 H0.913 L0.913 C0.913 (+0.00%)O0.913 H0.913 L0.913 C0.913 (+0.00%)O0.913 H0.913 L0.913 C0.913 (+0.00%)O0.913 H0.913 L0.913 C0.913 (+0.00%)O0.913 H0.913 L0.913 C0.913 (+0.00%)O0.913 H0.913 L0.913 C0.913 (+0.00%)O0.913 H0.913 L0.913 C0.913 (+0.00%)O0.913 H0.913 L0.913 C0.913 (+0.00%)O0.913 H0.913 L0.913 C0.913 (+0.00%)O0.912 H0.912 L0.912 C0.912 (-0.00%)O0.912 H0.912 L0.912 C0.912 (-0.00%)O0.913 H0.913 L0.913 C0.913 (+0.00%)O0.913 H0.913 L0.913 C0.913 (+0.00%)O0.913 H0.913 L0.913 C0.913 (+0.00%)O0.913 H0.913 L0.913 C0.913 (+0.00%)O0.913 H0.913 L0.913 C0.913 (+0.00%)O0.913 H0.913 L0.913 C0.913 (+0.00%)O0.907 H0.907 L0.902 C0.902 (-0.62%)O0.907 H0.907 L0.902 C0.902 (-0.62%)O0.912 H0.912 L0.911 C0.911 (-0.08%)O0.912 H0.912 L0.911 C0.911 (-0.08%)O0.901 H0.901 L0.901 C0.901 (+0.00%)O0.901 H0.901 L0.901 C0.901 (+0.00%)O0.910 H0.910 L0.910 C0.910 (+0.00%)O0.910 H0.910 L0.910 C0.910 (+0.00%)O0.910 H0.910 L0.910 C0.910 (+0.00%)O0.910 H0.910 L0.910 C0.910 (+0.00%)O0.911 H0.911 L0.911 C0.911 (+0.00%)O0.911 H0.911 L0.911 C0.911 (+0.00%)O0.911 H0.911 L0.901 C0.911 (+0.04%)O0.911 H0.911 L0.901 C0.911 (+0.04%)O0.911 H0.911 L0.906 C0.906 (-0.49%)O0.911 H0.911 L0.906 C0.906 (-0.49%)O0.911 H0.911 L0.901 C0.910 (-0.14%)O0.911 H0.911 L0.901 C0.910 (-0.14%)O0.911 H0.911 L0.911 C0.911 (+0.00%)O0.911 H0.911 L0.911 C0.911 (+0.00%)O0.908 H0.908 L0.908 C0.908 (+0.00%)O0.908 H0.908 L0.908 C0.908 (+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 90.83¢
Hourly traded contracts
n=25 · Σ=13,458 · μ=538.3 · σ=1111.6 · CV=2.07BURSTY · concentratedcumulative energy &nearr; · 50% by h=2108991,7992,6983,597μ = 538420 · 11.7% peak420 · 11.7% peak13 · 0.4% peak13 · 0.4% peak493 · 13.7% peak493 · 13.7% peak12 · 0.3% peak12 · 0.3% peak2,511 · 69.8% peak2,511 · 69.8% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak13 · 0.4% peak13 · 0.4% peak12 · 0.3% peak12 · 0.3% peak183 · 5.1% peak183 · 5.1% peak12 · 0.3% peak12 · 0.3% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak2,197 · 61.1% peak2,197 · 61.1% peak61 · 1.7% peak61 · 1.7% peak49 · 1.4% peak49 · 1.4% peak13 · 0.4% peak13 · 0.4% peak0 · 0.0% peak0 · 0.0% peak31 · 0.9% peak31 · 0.9% peak3,5973,597 · 100.0% peak3,597 · 100.0% peak3,510 · 97.6% peak3,510 · 97.6% peak160 · 4.4% peak160 · 4.4% peak159 · 4.4% peak159 · 4.4% peak12 · 0.3% peak12 · 0.3% peak50%#1#5#9#13#17#21#25#1 peak#2-3> μactivequietμ linecum energy
Σ vol = 13458 · peak 3597 · mean 538.3

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

Histogram of Δp
n=24 · 12 bins · μ=-0.0002 · σ=0.0085 · skew=1.45 (right-skewed) · kurt=5.56 (leptokurtic (fat tails))14117401-1.94ppbin -1.94pp · n=1 · 7.1% peakbin -1.94pp · n=1 · 7.1% peak-1.48pp2-1.03ppbin -1.03pp · n=2 · 14.3% peakbin -1.03pp · n=2 · 14.3% peak1-0.57ppbin -0.57pp · n=1 · 7.1% peakbin -0.57pp · n=1 · 7.1% peak14-0.12ppbin -0.12pp · n=14 · 100.0% peakbin -0.12pp · n=14 · 100.0% peak30.34ppbin 0.34pp · n=3 · 21.4% peakbin 0.34pp · n=3 · 21.4% peak20.79ppbin 0.79pp · n=2 · 14.3% peakbin 0.79pp · n=2 · 14.3% peak1.25pp1.70pp2.16pp2.62pp13.07ppbin 3.07pp · n=1 · 7.1% peakbin 3.07pp · n=1 · 7.1% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=24 · positive 9 · negative 8
Q-Q plot · standardised Δp vs N(0,1)
n=24 · skew=1.27 · kurt=5.51 · near 8 / mid 15 / far 1 · OLS slope=0.88 intercept=-0.00LEPTOKURTIC — FAT TAILSUPPER TAIL NORMALLOWER TAIL NORMAL-3σ-3σ-2σ-2σ-1σ-1σ+0σ+0σ+1σ+1σ+2σ+2σ+3σ+3σΔ=+1.55σsample ↓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=6.25)
μ MEAN91.11¢95% CI: [90.87¢, 91.35¢]
σ STD DEV0.61ppσ² = 0.369 · CV = 0.67%
med MEDIAN91.15¢Q₁ 91.00¢ · Q₃ 91.26¢
FIVE-NUMBER SUMMARY · BOX PLOT
min 90.10¢Q₁ 91.00¢med 91.15¢Q₃ 91.26¢max 93.42¢μ
SKEWNESS · G₁1.683right-skewed
−3−10+1+3
EXCESS KURTOSIS · G₂6.250leptokurtic · fat tails
−30+2+4+6
μ ↔ median≈ equal · symmetric|μ−med| / σ = 0.07
σ × 1.349 ↔ IQRdiverges from normalratio = 3.19
range ↔ σwide tails (range > 4σ)range / σ = 5.47
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) -0.51 + ADF rejected
ρ(1) AUTOCORR-0.506negative · reversal
ρ(2) AUTOCORR+0.089lag-2 not significant
H · HURST EXPONENT0.545random-walk
OLS TREND · t-STAT-1.767fails 5% test
HURST EXPONENT [0, 1]
H = 0.545RANDOM-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=1-0.506k=2+0.089k=3-0.050k=4-0.007k=5+0.0260+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 · ρ(1) -0.51 + ADF rejectedfrom Hurst + ρ(1) joint diagnosis
PREDICTABILITY · score 0.59high · clear structure|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCEMARGINAL @ 10% (|t|=1.77)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#294
SLUGspain-294
QUOTE TOKENUSDC
TWO-SIDED PRICING
PRIMARY · YES90.25¢implied prob 90.25% · decimal odds 1.11×
COUNTER · NO9.74¢implied prob 9.74% · decimal odds 10.26×
90.25¢
9.74¢
Σ-SIDES ARBITRAGE TEST
0%50%100% · target110%
Σ = 100.00% · |1 − Σ| = 0.000pp
24H ACTIVITY · LIQUIDITY
24H VOLUME13.46k contracts
MARKET QUALITYPERFECT · ARB-FREE Σ=100.00%|1−Σ| ≤ 0.5pp ⇒ fair · > 2pp ⇒ inefficient
PRICING SKEWFAVOURS YES (90¢)|primary − counter| = 0.805 · entropy 0.461 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 90.3%No 9.7%YES90.3%H = 0.461 / 1.00 bits
Probability scale (Yes)
0%25%50%
fair
75%100%
Implied decimal odds
Yes1.11×(90¢)No10.26×(10¢)
Kelly bet-size (% of bankroll) K* = 0.00%
K* full
0.00%
½K half
0.00%
¼K quarter
0.00%
Entropy H(p̂) = 0.461 bits (46% of max) · informative — one side strongly favoured
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 Spain wins the Game.

§10 · Hourly return heatmap

24-hour signed Δp grid · green = up · red = down
HOURLY RETURN HEATMAP · n=24 bars · best 3.30% · worst -2.16% · typical |Δ| 0.46%MILD BULLISH +0.71%BEST+3.30%10hWORST-2.16%11hTYPICAL |Δ|0.46%mean absoluteCUMULATIVE+0.71%Σ signed ΔSTREAK↘ 1down-runASIA · 00-08 UTCμ +0.10% · Σ +0.82%EUROPE · 08-16 UTCμ +0.12% · Σ +0.99%US · 16-24 UTCμ -0.14% · Σ -1.09%CUMULATIVE Δ PATH · final +0.71%+3.30%-0.02%3.30% · 10h3.30% · 10h3.30%10h★ BEST-2.16% · 11h-2.16% · 11h-2.16%11h▼ WORST0.00% · 12h0.00% · 12h·12h-0.00% · 13h-0.00% · 13h-0.00%13h0.00% · 14h0.00% · 14h·14h0.00% · 15h0.00% · 15h·15h0.00% · 16h0.00% · 16h·16h0.04% · 17h0.04% · 17h0.04%17h-0.02% · 18h-0.02% · 18h-0.02%18h-0.11% · 19h-0.11% · 19h-0.11%19h0.10% · 20h0.10% · 20h0.10%20h0.00% · 21h0.00% · 21h·21h0.00% · 22h0.00% · 22h·22h-1.10% · 23h-1.10% · 23h-1.10%23h0.93% · 00h0.93% · 00h0.93%00h-0.99% · 01h-0.99% · 01h-0.99%01h0.90% · 02h0.90% · 02h0.90%02h0.00% · 03h0.00% · 03h·03h0.12% · 04h0.12% · 04h0.12%04h0.02% · 05h0.02% · 05h0.02%05h-0.52% · 06h-0.52% · 06h-0.52%06h0.36% · 07h0.36% · 07h0.36%07h0.16% · 08h0.16% · 08h0.16%08h-0.31% · 09h-0.31% · 09h-0.31%09hTIME PATTERNEurope-led (+0.99%)RUNSup max 2 · down max 2BREADTH38% up · 33% down · 29% flat
9 up bars · 8 down · best 3.30% · worst -2.16% · typical |Δ| 0.465%

§11 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=25 barsPROFITABLE +0.61%FINAL+0.61%MAX DD-3.30%RECOVERYONGOING · 23 barsMAX RUN-UP+3.30%UNDERWATER23/25 (92%)STREAK↘ 1EQUITY CURVE · end 1.0061 · peak 1.0330 · range [0.9988, 1.0330]1.03300.9988break-even = 1★ PEAK 1.0330UNDERWATER DRAWDOWN · max -3.30% · moderate0%-3.30%▼ TROUGH -3.30%TOP DRAWDOWN PERIODS · 1 total#1 -3.30%bar 3-25 · 23 bars · ONGOINGDD SEVERITYmoderate (max -3.30%)RECOVERYongoing · 23 barsTIME UNDER WATER92% of session · 23/25 bars
final equity 1.0061 (0.61%) · max DD -3.30% · time-under-water 23/25 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +9 / −10 (47% positive) · μ=-3.05 · σ=19.74MIXED EDGELAST -8.00 (-0.25σ vs μ)39.0119.500.00-19.50-39.01μ = -3.0510.0510.05-38.32-38.3231.5531.554.914.91-31.25-31.251.101.101.101.101.101.10-39.01-39.01-4.25-4.25-21.65-21.65-4.57-4.57-4.57-4.57-2.43-2.4321.5921.59-11.59-11.5929.0629.067.287.28-8.00-8.00v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -7.999 · range [-39.01, 31.55] · μ -3.047 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=48.5761 · σ=41.7440 · range [1.3882, 163.9770] · R²=0.000 FALLING -81.30%σ EXTREME 85.94%LAST 30.6657163.9770123.329882.682642.03541.3882μ = 48.5761max 163.9770min 1.3882dataMA(3)OLS R²=0.00μ lineμ ± σ bandmaxmin
latest 30.67% · range [1.39%, 163.98%] · μ 48.58% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +1 / −18 (5% positive) · μ=-0.389 · σ=0.273MEAN-REVERSIONLAST -0.350 (+0.14σ vs μ)0.7490.3740.000-0.374-0.749μ = -0.389-0.441-0.441-0.034-0.034-0.000-0.000-0.481-0.4810.1390.139-0.388-0.388-0.391-0.391-0.390-0.390-0.045-0.045-0.509-0.509-0.696-0.696-0.749-0.749-0.739-0.739-0.726-0.726-0.733-0.733-0.403-0.403-0.146-0.146-0.309-0.309-0.350-0.350v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.350 · |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
58.5980
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
7.2622
p-VALUE (log scale)
0.2007
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
-6.0284
p-VALUE (log scale)
< 0.0001
α
10⁻⁴10⁻³10⁻²10⁻¹1
p < α · rejection zonestationary · mean-reverting (crit ≈ -2.86)
±

Wald-Wolfowitz runs

FAIL TO REJECTns

H₀: Sign sequence of Δ is random

STATISTIC
1.2719
p-VALUE (log scale)
0.2034
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedsigns appear random (12 runs)
χ

KPSS (μ stationarity)

FAIL TO REJECTns

H₀: p IS level-stationary

STATISTIC
0.4256
p-VALUE (log scale)
0.0661
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedstationary not rejected (crit 0.463)
χ

Variance ratio q=3

REJECT H₀**

H₀: Δp is a random walk · VR = 1

STATISTIC
-2.6596
p-VALUE (log scale)
0.0078
α
10⁻⁴10⁻³10⁻²10⁻¹1
p < α · rejection zoneVR 0.191 → mean-reverting
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=9.79e-5 · top T=2.00h (30.2%) · top-3 cover 69.7%2 SIGNIFICANT CYCLEScumulative energy ↗ (2 bins above 2× noise)3.5e-42.7e-41.8e-48.9e-50.0e+0μ noise floor2× noise (significance)period 24.0 · power 1.25e-5 · 1.1% energyperiod 24.0 · power 1.25e-5 · 1.1% energyperiod 12.0 · power 4.44e-6 · 0.4% energyperiod 12.0 · power 4.44e-6 · 0.4% energyperiod 8.0 · power 3.53e-5 · 3.0% energyperiod 8.0 · power 3.53e-5 · 3.0% energyperiod 6.0 · power 5.36e-5 · 4.6% energyperiod 6.0 · power 5.36e-5 · 4.6% energyperiod 4.8 · power 2.35e-5 · 2.0% energyperiod 4.8 · power 2.35e-5 · 2.0% energyperiod 4.0 · power 3.56e-5 · 3.0% energyperiod 4.0 · power 3.56e-5 · 3.0% energyperiod 3.4 · power 9.69e-5 · 8.2% energyperiod 3.4 · power 9.69e-5 · 8.2% energyperiod 3.0 · power 6.98e-5 · 5.9% energyperiod 3.0 · power 6.98e-5 · 5.9% energyperiod 2.7 · power 1.88e-4 · 16.0% energyperiod 2.7 · power 1.88e-4 · 16.0% energyperiod 2.4 · power 2.76e-4 · 23.5% energyperiod 2.4 · power 2.76e-4 · 23.5% energyperiod 2.2 · power 2.46e-5 · 2.1% energyperiod 2.2 · power 2.46e-5 · 2.1% energyperiod 2.0 · power 3.55e-4 · 30.2% energyperiod 2.0 · power 3.55e-4 · 30.2% energy50% by T=2.4h#1 dominantT=2.00h#2T=2.40h#3T=2.67hT=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 ≈ 2.00h (freq 0.500) · concentrates 30.2% of total energy · Σ|X̂|²/n = 1.175e-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 0.379pp · expected |Δp| over horizon 4.92ppterminal variance p(1−p) = 0.0880 · n = 5000n = 5000
μ per bar
-0.000pp
average Δp · drift
σ per bar
0.379pp
one-bar volatility · logit-free
Per-day movedaily
1.86pp
σ × √24
Per-horizon move7d
4.92pp
σ × √168
Terminal variancebinary
0.0880
p(1−p) at resolution
Current pricep
90.3¢
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 0.62pp · ES₉₅ 0.78pp · method parametric · drift-correcteddrift -0.000pp/bar · quantised: yes · median step 0.00pp · unique ratio 0.13n = 5000
VaR 95%
0.62pp
1.645·σ (parametric) of Δp
ES 95%
0.78pp
mean of the tail
Max drawdown
1.9pp
peak 91.8¢ → trough 90.0¢
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
90.3%
= price
Decimal oddsEU
1.108
total return per $1
AmericanUS
-926
risk $926 to win $100
FractionalUK
0.11 / 1
profit per $1 risked
Profit per $100stake
+$10.80
clean dollar framing
-1000-5000+500+1000020406080100you · 90.3%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)
0.461 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.461 bit
Δ +0.000 bit vs market
Surprise · YES−log₂ p
0.15 bit
self-information
Surprise · NO−log₂(1−p)
3.36 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 09:41:07 UTC
Snapshot age
3.0s
Page rendered
2026-06-14 09:41:10 UTC
History points
25 closes · 25 counter-side closes
Storage policy
no persistence — fetched on every request
SHA-256 attestation
ac24fd1cf04484cb913a8b96c0d243c38d2a2a01c67da5912a9ce8949f36846f · 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)
953.99%
σ per bar = 0.004160
Mean return (annualised)
-344.43%
μ per bar = -0.000001
Sharpe (rf=0)
-0.36
annualised; risk-free assumed zero
Max drawdown
1.90%
peak 0.92 → trough 0.90 over 3487 bars

/api/asset/hl-pred-spain-294/risk · same metrics, JSON