HYPERLIQUID · HIP-3 PREDICTION MARKET · OUTCOME #442

Ecuador

Primary · Yes
86.1¢
Counter · No
13.9¢

▸ Advanced metrics · M2M bundle

hyperliquid · pred-ecuador-442 · fresh · feed 2s old
24h sparkline · 60 pts
realized vol (ann.)
42.84%
max drawdown
1.06%
sharpe
ulcer index
0.56%
RMS drawdown
pain index
0.43%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
0.98%
cond. drawdown
gain/pain
0.74
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
0.74
upside/downside
roll spread
0.4 bps
implied (price-only)
bars used
1962
store
spread
24h Δ
flow lean
carry
flat
signalNEUTRALconfidence 20%
Same bundle via M2M API: /api/m2m/hl-pred-ecuador-442/bundle · venue execution: hyperliquid
LIVEPOLL0SRCFRESH2.2s--:--:-- 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
86.1¢
No mid · live
13.9¢
Yes · live 24h price
n=25 · μ=0.8744 · σ=0.0060 · range [0.8642, 0.8846] · R²=0.214 FALLING -1.76%σ LOW 0.69%LAST 0.86420.88460.87950.87440.86930.8642μ = 0.8744max 0.8846min 0.8642dataMA(5)OLS R²=0.21μ lineμ ± σ bandmaxminlive endpoint
25 bars · close 86.42¢ · 24h -1.76%
Probability split · live
Yes 86.1%No 13.9%YES86.1%86.09¢ · odds 1/1.16
Σ 100.00% · fair
Σ-sides total = 100.00% (tight rounding)
H(p) entropy = 0.582 / 1.00 bits (58%) · moderate uncertainty
Yes
86.1%86.1¢1.16× +0.00pp
No
13.9%13.9¢7.19× +0.00pp
primary vs counter implied %
Volume · per-hour contracts · live
n=25 · Σ=81,832 · μ=3273.3 · σ=10296.9 · CV=3.15BURSTY · concentratedcumulative energy ↗ · 50% by h=18011,51323,02634,53946,052μ = 327346,05250%h1h5h9h13h17h21h25#1 peak#2-3> μactivequietμ linecum energy
Σ 81832 · peak 46052
Live numerics · pulse on poll
LIVE NUMERICS8 metrics·POLL 0
snapshot age
2.2s
Yes mid
86.088¢
No mid
13.911¢
ΣΣ sides
100.00%
Σarb gap |1 − Σ|
0.00pp
Δ24h candles
25 bars
Δ24h close
86.42¢
Δ24h change
-1.76%

§1 · 24h time-series

Mid price · Yes (25 hourly observations)
n=25 · μ=0.8744 · σ=0.0060 · range [0.8642, 0.8846] · R²=0.214 FALLING -1.76%σ LOW 0.69%LAST 0.86420.88460.87950.87440.86930.8642μ = 0.8744max 0.8846min 0.8642dataMA(5)OLS R²=0.21μ lineμ ± σ bandmaxmin
range [86.42¢, 88.46¢] · span 2.05pp · MA(5) latest 86.80¢
Candlestick · open / high / low / close per hour
n=25 · up 19 · down 6 (76% up) · range [0.8603, 0.8846] · σ=0.0060 · CV=0.01 · bodyµ=31%BEARISH -1.76%CLOSE 0.8642 vs OPEN 0.8796 (-1.76%)&#9660; CLOSE 0.86420.88460.87850.87250.86640.8603μ close = 0.8744O0.880 H0.880 L0.880 C0.880 (+0.00%)O0.880 H0.880 L0.880 C0.880 (+0.00%)O0.881 H0.881 L0.871 C0.871 (-1.14%)O0.881 H0.881 L0.871 C0.871 (-1.14%)O0.871 H0.871 L0.871 C0.871 (+0.00%)O0.871 H0.871 L0.871 C0.871 (+0.00%)O0.871 H0.871 L0.871 C0.871 (+0.00%)O0.871 H0.871 L0.871 C0.871 (+0.00%)O0.871 H0.871 L0.871 C0.871 (+0.00%)O0.871 H0.871 L0.871 C0.871 (+0.00%)O0.871 H0.871 L0.871 C0.871 (+0.00%)O0.871 H0.871 L0.871 C0.871 (+0.00%)O0.878 H0.885 L0.878 C0.885 (+0.74%)O0.878 H0.885 L0.878 C0.885 (+0.74%)O0.885 H0.885 L0.885 C0.885 (+0.00%)O0.885 H0.885 L0.885 C0.885 (+0.00%)O0.885 H0.885 L0.885 C0.885 (+0.00%)O0.885 H0.885 L0.885 C0.885 (+0.00%)O0.885 H0.885 L0.885 C0.885 (+0.00%)O0.885 H0.885 L0.885 C0.885 (+0.00%)O0.877 H0.877 L0.877 C0.877 (+0.00%)O0.877 H0.877 L0.877 C0.877 (+0.00%)O0.878 H0.878 L0.878 C0.878 (+0.00%)O0.878 H0.878 L0.878 C0.878 (+0.00%)O0.878 H0.878 L0.878 C0.878 (+0.00%)O0.878 H0.878 L0.878 C0.878 (+0.00%)O0.878 H0.878 L0.868 C0.877 (-0.18%)O0.878 H0.878 L0.868 C0.877 (-0.18%)O0.877 H0.877 L0.877 C0.877 (+0.00%)O0.877 H0.877 L0.877 C0.877 (+0.00%)O0.877 H0.877 L0.877 C0.877 (+0.00%)O0.877 H0.877 L0.877 C0.877 (+0.00%)O0.878 H0.878 L0.867 C0.877 (-0.10%)O0.878 H0.878 L0.867 C0.877 (-0.10%)O0.867 H0.872 L0.867 C0.872 (+0.57%)O0.867 H0.872 L0.867 C0.872 (+0.57%)-1.3%O0.877 H0.877 L0.866 C0.866 (-1.25%)O0.877 H0.877 L0.866 C0.866 (-1.25%)O0.876 H0.876 L0.871 C0.871 (-0.54%)O0.876 H0.876 L0.871 C0.871 (-0.54%)O0.870 H0.870 L0.870 C0.870 (+0.00%)O0.870 H0.870 L0.870 C0.870 (+0.00%)O0.860 H0.870 L0.860 C0.870 (+1.10%)O0.860 H0.870 L0.860 C0.870 (+1.10%)O0.870 H0.870 L0.870 C0.870 (-0.01%)O0.870 H0.870 L0.870 C0.870 (-0.01%)O0.866 H0.866 L0.866 C0.866 (+0.00%)O0.866 H0.866 L0.866 C0.866 (+0.00%)O0.860 H0.865 L0.860 C0.864 (+0.45%)O0.860 H0.865 L0.860 C0.864 (+0.45%)#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 86.42¢
Hourly traded contracts
n=25 · Σ=81,832 · μ=3273.3 · σ=10296.9 · CV=3.15BURSTY · concentratedcumulative energy &nearr; · 50% by h=18011,51323,02634,53946,052μ = 32730 · 0.0% peak0 · 0.0% peak24 · 0.1% peak24 · 0.1% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak25,000 · 54.3% peak25,000 · 54.3% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak1,412 · 3.1% peak1,412 · 3.1% peak31 · 0.1% peak31 · 0.1% peak0 · 0.0% peak0 · 0.0% peak8,022 · 17.4% peak8,022 · 17.4% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak119 · 0.3% peak119 · 0.3% peak46,05246,052 · 100.0% peak46,052 · 100.0% peak435 · 0.9% peak435 · 0.9% peak351 · 0.8% peak351 · 0.8% peak12 · 0.0% peak12 · 0.0% peak60 · 0.1% peak60 · 0.1% peak38 · 0.1% peak38 · 0.1% peak124 · 0.3% peak124 · 0.3% peak152 · 0.3% peak152 · 0.3% peak50%#1#5#9#13#17#21#25#1 peak#2-3> μactivequietμ linecum energy
Σ vol = 81832 · peak 46052 · mean 3273.3

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

Histogram of Δp
n=24 · 12 bins · μ=-0.0008 · σ=0.0040 · skew=1.16 (right-skewed) · kurt=3.70 (leptokurtic (fat tails))16128402-0.78ppbin -0.78pp · n=2 · 12.5% peakbin -0.78pp · n=2 · 12.5% peak2-0.59ppbin -0.59pp · n=2 · 12.5% peakbin -0.59pp · n=2 · 12.5% peak1-0.40ppbin -0.40pp · n=1 · 6.3% peakbin -0.40pp · n=1 · 6.3% peak1-0.22ppbin -0.22pp · n=1 · 6.3% peakbin -0.22pp · n=1 · 6.3% peak16-0.03ppbin -0.03pp · n=16 · 100.0% peakbin -0.03pp · n=16 · 100.0% peak0.16pp0.34pp10.53ppbin 0.53pp · n=1 · 6.3% peakbin 0.53pp · n=1 · 6.3% peak0.72pp0.90pp1.09pp11.28ppbin 1.28pp · n=1 · 6.3% peakbin 1.28pp · n=1 · 6.3% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=24 · positive 5 · negative 9
Q-Q plot · standardised Δp vs N(0,1)
n=24 · skew=1.16 · kurt=3.91 · near 11 / mid 12 / far 1 · OLS slope=0.90 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=25APPROXIMATELY NORMAL · WELL-BEHAVED
μ MEAN87.44¢95% CI: [87.21¢, 87.68¢]
σ STD DEV0.60ppσ² = 0.365 · CV = 0.69%
med MEDIAN87.20¢Q₁ 87.09¢ · Q₃ 87.77¢
FIVE-NUMBER SUMMARY · BOX PLOT
min 86.42¢Q₁ 87.09¢med 87.20¢Q₃ 87.77¢max 88.46¢μ
SKEWNESS · G₁0.291approximately symmetric
−3−10+1+3
EXCESS KURTOSIS · G₂-0.963mesokurtic · normal-like
−30+2+4+6
μ ↔ medianμ > med · right-tailed|μ−med| / σ = 0.41
σ × 1.349 ↔ IQRdiverges from normalratio = 1.21
range ↔ σconcentrated (range < 4σ)range / σ = 3.38
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: MARTINGALE · UNPREDICTABLE
ρ(1) AUTOCORR-0.027within white-noise band
ρ(2) AUTOCORR-0.064lag-2 not significant
H · HURST EXPONENT0.854strongly persistent
OLS TREND · t-STAT-2.506significant @ α=0.05
HURST EXPONENT [0, 1]
H = 0.854STRONGLY 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=1-0.027k=2-0.064k=3+0.055k=4-0.279k=5-0.2140+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 CLASSIFICATIONMARTINGALE · UNPREDICTABLEfrom Hurst + ρ(1) joint diagnosis
PREDICTABILITY · score 0.74very high · strong structure|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCESIGNIFICANT @ 5% (|t|=2.51)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#442
SLUGecuador-442
QUOTE TOKENUSDC
TWO-SIDED PRICING
PRIMARY · YES86.09¢implied prob 86.09% · decimal odds 1.16×
COUNTER · NO13.91¢implied prob 13.91% · decimal odds 7.19×
86.09¢
13.91¢
Σ-SIDES ARBITRAGE TEST
0%50%100% · target110%
Σ = 100.00% · |1 − Σ| = 0.000pp
24H ACTIVITY · LIQUIDITY
24H VOLUME81.83k contracts
MARKET QUALITYPERFECT · ARB-FREE Σ=100.00%|1−Σ| ≤ 0.5pp ⇒ fair · > 2pp ⇒ inefficient
PRICING SKEWFAVOURS YES (86¢)|primary − counter| = 0.722 · entropy 0.582 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 86.1%No 13.9%YES86.1%H = 0.582 / 1.00 bits
Probability scale (Yes)
0%25%50%
fair
75%100%
Implied decimal odds
Yes1.16×(86¢)No7.19×(14¢)
Kelly bet-size (% of bankroll) K* = 0.00%
K* full
0.00%
½K half
0.00%
¼K quarter
0.00%
Entropy H(p̂) = 0.582 bits (58% 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 Ecuador wins the Game.

§10 · Hourly return heatmap

24-hour signed Δp grid · green = up · red = down
HOURLY RETURN HEATMAP · n=24 bars · best 1.37% · worst -0.87% · typical |Δ| 0.23%BEARISH SESSION -1.55%BEST+1.37%16hWORST-0.87%11hTYPICAL |Δ|0.23%mean absoluteCUMULATIVE-1.55%Σ signed ΔSTREAK↘ 2down-runASIA · 00-08 UTCμ -0.08% · Σ -0.67%EUROPE · 08-16 UTCμ -0.18% · Σ -1.44%US · 16-24 UTCμ +0.07% · Σ +0.56%CUMULATIVE Δ PATH · final -1.55%+0.50%-1.55%-0.87% · 11h-0.87% · 11h-0.87%11h▼ WORST0.00% · 12h0.00% · 12h·12h0.00% · 13h0.00% · 13h·13h0.00% · 14h0.00% · 14h·14h0.00% · 15h0.00% · 15h·15h1.37% · 16h1.37% · 16h1.37%16h★ BEST0.00% · 17h0.00% · 17h·17h0.00% · 18h0.00% · 18h·18h0.00% · 19h0.00% · 19h·19h-0.75% · 20h-0.75% · 20h-0.75%20h0.05% · 21h0.05% · 21h0.05%21h0.00% · 22h0.00% · 22h·22h-0.11% · 23h-0.11% · 23h-0.11%23h0.00% · 00h0.00% · 00h·00h0.00% · 01h0.00% · 01h·01h0.06% · 02h0.06% · 02h0.06%02h-0.51% · 03h-0.51% · 03h-0.51%03h-0.59% · 04h-0.59% · 04h-0.59%04h0.54% · 05h0.54% · 05h0.54%05h-0.11% · 06h-0.11% · 06h-0.11%06h-0.05% · 07h-0.05% · 07h-0.05%07h0.00% · 08h0.00% · 08h0.00%08h-0.42% · 09h-0.42% · 09h-0.42%09h-0.15% · 10h-0.15% · 10h-0.15%10hTIME PATTERNUS-led (+0.56%)RUNSup max 1 · down max 2BREADTH21% up · 38% down · 42% flat
5 up bars · 9 down · best 1.37% · worst -0.87% · typical |Δ| 0.233%

§11 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=25 barsLOSS WITH MODERATE DD (-1.56%)FINAL-1.56%MAX DD-2.03%RECOVERYONGOING · 15 barsMAX RUN-UP+0.49%UNDERWATER20/25 (80%)STREAK↘ 2EQUITY CURVE · end 0.9844 · peak 1.0049 · range [0.9844, 1.0049]1.00490.9844break-even = 1★ PEAK 1.0049UNDERWATER DRAWDOWN · max -2.03% · moderate0%-2.03%▼ TROUGH -2.03%TOP DRAWDOWN PERIODS · 2 total#1 -2.03%bar 11-25 · 15 bars · ONGOING#2 -0.87%bar 2-6 · 5 bars · recoveredDD SEVERITYmoderate (max -2.03%)RECOVERYongoing · 15 barsTIME UNDER WATER80% of session · 20/25 bars
final equity 0.9844 (-1.56%) · max DD -2.03% · time-under-water 20/25 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +6 / −13 (32% positive) · μ=-12.70 · σ=30.81UNPROFITABLE STRATEGYLAST -9.53 (+0.10σ vs μ)63.7531.880.00-31.88-63.75μ = -12.7010.8210.8238.2138.2138.2138.2138.2138.2114.0714.0715.3015.30-34.93-34.93-41.38-41.38-41.38-41.38-41.38-41.38-1.26-1.26-41.98-41.98-63.75-63.75-19.03-19.03-23.29-23.29-25.31-25.31-27.58-27.58-25.25-25.25-9.53-9.53v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -9.535 · range [-63.75, 38.21] · μ -12.696 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=38.9610 · σ=16.3176 · range [5.8118, 67.4483] · R²=0.319 FALLING -56.18%σ EXTREME 41.88%LAST 29.553167.448352.039136.630021.22095.8118μ = 38.9610max 67.4483min 5.8118dataMA(3)OLS R²=0.32μ lineμ ± σ bandmaxmin
latest 29.55% · range [5.81%, 67.45%] · μ 38.96% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +2 / −17 (11% positive) · μ=-0.152 · σ=0.178MEAN-REVERSIONLAST -0.023 (+0.72σ vs μ)0.4500.2250.000-0.225-0.450μ = -0.152-0.003-0.003-0.233-0.233-0.233-0.233-0.233-0.233-0.064-0.0640.0130.013-0.277-0.277-0.325-0.325-0.359-0.359-0.142-0.142-0.005-0.005-0.196-0.1960.3670.367-0.164-0.164-0.197-0.197-0.222-0.222-0.134-0.134-0.450-0.450-0.023-0.023v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.023 · |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
32.7458
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
4.1594
p-VALUE (log scale)
0.5285
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
-1.4703
p-VALUE (log scale)
0.5475
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedrandom-walk behaviour (crit ≈ -2.86)
±

Wald-Wolfowitz runs

REJECT H₀*

H₀: Sign sequence of Δ is random

STATISTIC
2.1798
p-VALUE (log scale)
0.0293
α
10⁻⁴10⁻³10⁻²10⁻¹1
p < α · rejection zonenon-random sign pattern (11 runs)
χ

KPSS (μ stationarity)

FAIL TO REJECTns

H₀: p IS level-stationary

STATISTIC
0.3803
p-VALUE (log scale)
0.0856
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
-0.4252
p-VALUE (log scale)
0.6707
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 0.871 ≈ 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=1.79e-5 · top T=8.00h (20.6%) · top-3 cover 50.2%2 SIGNIFICANT CYCLEScumulative energy ↗ (2 bins above 2× noise)4.4e-53.3e-52.2e-51.1e-50.0e+0μ noise floor2× noise (significance)period 24.0 · power 1.14e-5 · 5.3% energyperiod 24.0 · power 1.14e-5 · 5.3% energyperiod 12.0 · power 2.56e-5 · 11.9% energyperiod 12.0 · power 2.56e-5 · 11.9% energyperiod 8.0 · power 4.41e-5 · 20.6% energyperiod 8.0 · power 4.41e-5 · 20.6% energyperiod 6.0 · power 3.88e-6 · 1.8% energyperiod 6.0 · power 3.88e-6 · 1.8% energyperiod 4.8 · power 6.37e-6 · 3.0% energyperiod 4.8 · power 6.37e-6 · 3.0% energyperiod 4.0 · power 1.24e-5 · 5.8% energyperiod 4.0 · power 1.24e-5 · 5.8% energyperiod 3.4 · power 2.51e-5 · 11.7% energyperiod 3.4 · power 2.51e-5 · 11.7% energyperiod 3.0 · power 1.13e-5 · 5.3% energyperiod 3.0 · power 1.13e-5 · 5.3% energyperiod 2.7 · power 3.81e-5 · 17.8% energyperiod 2.7 · power 3.81e-5 · 17.8% energyperiod 2.4 · power 1.03e-5 · 4.8% energyperiod 2.4 · power 1.03e-5 · 4.8% energyperiod 2.2 · power 1.98e-5 · 9.2% energyperiod 2.2 · power 1.98e-5 · 9.2% energyperiod 2.0 · power 6.08e-6 · 2.8% energyperiod 2.0 · power 6.08e-6 · 2.8% energy50% by T=3.4h#1 dominantT=8.00h#2T=2.67h#3T=12.00hT=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 20.6% of total energy · Σ|X̂|²/n = 2.146e-4

▸ Depth section using sovereign-store price series (3645 bars · effective 5253471 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 0.510pp · expected |Δp| over horizon 6.61ppterminal variance p(1−p) = 0.1198 · n = 3645n = 3645
μ per bar
+0.010pp
average Δp · drift
σ per bar
0.510pp
one-bar volatility · logit-free
Per-day movedaily
2.50pp
σ × √24
Per-horizon move7d
6.61pp
σ × √168
Terminal variancebinary
0.1198
p(1−p) at resolution
Current pricep
86.1¢
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 0.83pp · ES₉₅ 1.04pp · method parametric · drift-correcteddrift +0.010pp/bar · quantised: yes · median step 0.00pp · unique ratio 0.04n = 3645
VaR 95%
0.83pp
1.645·σ (parametric) of Δp
ES 95%
1.04pp
mean of the tail
Max drawdown
10.0pp
peak 88.0¢ → trough 79.2¢
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
86.1%
= price
Decimal oddsEU
1.162
total return per $1
AmericanUS
-619
risk $619 to win $100
FractionalUK
0.16 / 1
profit per $1 risked
Profit per $100stake
+$16.16
clean dollar framing
-1000-5000+500+1000020406080100you · 86.1%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)
0.582 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.582 bit
Δ +0.000 bit vs market
Surprise · YES−log₂ p
0.22 bit
self-information
Surprise · NO−log₂(1−p)
2.85 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 10:15:44 UTC
Snapshot age
2.2s
Page rendered
2026-06-20 10:15:47 UTC
History points
25 closes · 25 counter-side closes
Storage policy
no persistence — fetched on every request
SHA-256 attestation
b81264865c3a5f848ee5b8fa0d2b42decb28002e7cbc75da48d233f6b0dc759b · 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 · 3,645 barsperiods/year ≈ 5.25M
Realized vol (annualised)
1669.64%
σ per bar = 0.007284
Mean return (annualised)
78333.93%
μ per bar = 0.000149
Sharpe (rf=0)
46.92
annualised; risk-free assumed zero
Max drawdown
9.99%
peak 0.88 → trough 0.79 over 30 bars

/api/asset/hl-pred-ecuador-442/risk · same metrics, JSON