HYPERLIQUID · HIP-3 PREDICTION MARKET · OUTCOME #304

Ecuador

Primary · Yes
37.4¢
Counter · No
62.6¢

▸ Advanced metrics · M2M bundle

hyperliquid · pred-ecuador-304 · fresh · feed 1s old
24h sparkline · 60 pts
realized vol (ann.)
54.15%
max drawdown
2.15%
sharpe
ulcer index
1.06%
RMS drawdown
pain index
0.54%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
2.15%
cond. drawdown
gain/pain
1.04
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
1.04
upside/downside
roll spread
2.8 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-ecuador-304/bundle · venue execution: hyperliquid
LIVEPOLL0SRCFRESH1.0s--:--:-- 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
37.4¢
No mid · live
62.6¢
Yes · live 24h price
n=25 · μ=0.3942 · σ=0.0135 · range [0.3700, 0.4104] · R²=0.862 FALLING -9.50%σ NORMAL 3.42%LAST 0.37000.41040.40030.39020.38010.3700μ = 0.3942max 0.4104min 0.3700dataMA(5)OLS R²=0.86μ lineμ ± σ bandmaxminlive endpoint
25 bars · close 37.00¢ · 24h -9.50%
Probability split · live
Yes 37.4%No 62.6%NO62.6%62.57¢ · odds 1/1.60
Σ 100.00% · fair
Σ-sides total = 100.00% (tight rounding)
H(p) entropy = 0.954 / 1.00 bits (95%) · max uncertainty (~50/50)
Yes
37.4%37.4¢2.67× +0.00pp
No
62.6%62.6¢1.60× +0.00pp
primary vs counter implied %
Volume · per-hour contracts · live
n=25 · Σ=6,368 · μ=254.7 · σ=555.3 · CV=2.18BURSTY · concentratedcumulative energy ↗ · 50% by h=2105001,0001,5002,000μ = 2552,00050%h1h5h9h13h17h21h25#1 peak#2-3> μactivequietμ linecum energy
Σ 6368 · peak 2000
Live numerics · pulse on poll
LIVE NUMERICS8 metrics·POLL 0
snapshot age
1.0s
Yes mid
37.431¢
No mid
62.569¢
ΣΣ sides
100.00%
Σarb gap |1 − Σ|
0.00pp
Δ24h candles
25 bars
Δ24h close
37.00¢
Δ24h change
-9.50%

§1 · 24h time-series

Mid price · Yes (25 hourly observations)
n=25 · μ=0.3942 · σ=0.0135 · range [0.3700, 0.4104] · R²=0.862 FALLING -9.50%σ NORMAL 3.42%LAST 0.37000.41040.40030.39020.38010.3700μ = 0.3942max 0.4104min 0.3700dataMA(5)OLS R²=0.86μ lineμ ± σ bandmaxmin
range [37.00¢, 41.04¢] · span 4.04pp · MA(5) latest 37.61¢
Candlestick · open / high / low / close per hour
n=25 · up 22 · down 3 (88% up) · range [0.3688, 0.4104] · σ=0.0135 · CV=0.03 · bodyµ=16%BEARISH -9.50%CLOSE 0.3700 vs OPEN 0.4088 (-9.50%)&#9660; CLOSE 0.37000.41040.40000.38960.37920.3688μ close = 0.3942O0.409 H0.409 L0.409 C0.409 (+0.00%)O0.409 H0.409 L0.409 C0.409 (+0.00%)O0.409 H0.409 L0.409 C0.409 (+0.00%)O0.409 H0.409 L0.409 C0.409 (+0.00%)O0.409 H0.409 L0.409 C0.409 (+0.00%)O0.409 H0.409 L0.409 C0.409 (+0.00%)O0.409 H0.409 L0.409 C0.409 (+0.00%)O0.409 H0.409 L0.409 C0.409 (+0.00%)O0.409 H0.409 L0.409 C0.409 (+0.00%)O0.409 H0.409 L0.409 C0.409 (+0.00%)O0.410 H0.410 L0.410 C0.410 (+0.00%)O0.410 H0.410 L0.410 C0.410 (+0.00%)O0.410 H0.410 L0.410 C0.410 (+0.00%)O0.410 H0.410 L0.410 C0.410 (+0.00%)O0.410 H0.410 L0.410 C0.410 (+0.00%)O0.410 H0.410 L0.410 C0.410 (+0.00%)O0.410 H0.410 L0.410 C0.410 (+0.00%)O0.410 H0.410 L0.410 C0.410 (+0.00%)O0.408 H0.408 L0.408 C0.408 (+0.00%)O0.408 H0.408 L0.408 C0.408 (+0.00%)-4.1%O0.408 H0.408 L0.392 C0.392 (-4.07%)O0.408 H0.408 L0.392 C0.392 (-4.07%)O0.388 H0.388 L0.388 C0.388 (+0.00%)O0.388 H0.388 L0.388 C0.388 (+0.00%)O0.388 H0.388 L0.388 C0.388 (+0.00%)O0.388 H0.388 L0.388 C0.388 (+0.00%)O0.388 H0.388 L0.388 C0.388 (+0.00%)O0.388 H0.388 L0.388 C0.388 (+0.00%)O0.388 H0.388 L0.388 C0.388 (+0.00%)O0.388 H0.388 L0.388 C0.388 (+0.00%)O0.388 H0.388 L0.388 C0.388 (+0.00%)O0.388 H0.388 L0.388 C0.388 (+0.00%)O0.388 H0.388 L0.388 C0.388 (+0.00%)O0.388 H0.388 L0.388 C0.388 (+0.00%)O0.388 H0.388 L0.388 C0.388 (+0.00%)O0.388 H0.388 L0.388 C0.388 (+0.00%)O0.388 H0.388 L0.388 C0.388 (+0.00%)O0.388 H0.388 L0.388 C0.388 (+0.00%)O0.388 H0.388 L0.378 C0.388 (+0.00%)O0.388 H0.388 L0.378 C0.388 (+0.00%)O0.383 H0.383 L0.376 C0.376 (-1.66%)O0.383 H0.383 L0.376 C0.376 (-1.66%)O0.376 H0.376 L0.376 C0.376 (+0.00%)O0.376 H0.376 L0.376 C0.376 (+0.00%)O0.379 H0.379 L0.369 C0.379 (+0.04%)O0.379 H0.379 L0.369 C0.379 (+0.04%)O0.379 H0.379 L0.379 C0.379 (+0.01%)O0.379 H0.379 L0.379 C0.379 (+0.01%)O0.379 H0.379 L0.370 C0.370 (-2.26%)O0.379 H0.379 L0.370 C0.370 (-2.26%)#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 37.00¢
Hourly traded contracts
n=25 · Σ=6,368 · μ=254.7 · σ=555.3 · CV=2.18BURSTY · concentratedcumulative energy &nearr; · 50% by h=2105001,0001,5002,000μ = 2550 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak26 · 1.3% peak26 · 1.3% peak0 · 0.0% peak0 · 0.0% peak2,0002,000 · 100.0% peak2,000 · 100.0% peak26 · 1.3% peak26 · 1.3% peak27 · 1.4% peak27 · 1.4% peak127 · 6.3% peak127 · 6.3% peak94 · 4.7% peak94 · 4.7% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak0 · 0.0% peak38 · 1.9% peak38 · 1.9% peak625 · 31.3% peak625 · 31.3% peak147 · 7.3% peak147 · 7.3% peak1,928 · 96.4% peak1,928 · 96.4% peak0 · 0.0% peak0 · 0.0% peak795 · 39.8% peak795 · 39.8% peak480 · 24.0% peak480 · 24.0% peak55 · 2.8% peak55 · 2.8% peak50%#1#5#9#13#17#21#25#1 peak#2-3> μactivequietμ linecum energy
Σ vol = 6368 · peak 2000 · mean 254.7

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

Histogram of Δp
n=24 · 12 bins · μ=-0.0016 · σ=0.0042 · skew=-2.34 (left-skewed) · kurt=4.26 (leptokurtic (fat tails))17139401-1.59ppbin -1.59pp · n=1 · 5.9% peakbin -1.59pp · n=1 · 5.9% peak-1.43pp-1.27pp1-1.11ppbin -1.11pp · n=1 · 5.9% peakbin -1.11pp · n=1 · 5.9% peak1-0.95ppbin -0.95pp · n=1 · 5.9% peakbin -0.95pp · n=1 · 5.9% peak-0.79pp-0.63pp-0.47pp1-0.31ppbin -0.31pp · n=1 · 5.9% peakbin -0.31pp · n=1 · 5.9% peak1-0.16ppbin -0.16pp · n=1 · 5.9% peakbin -0.16pp · n=1 · 5.9% peak170.00ppbin 0.00pp · n=17 · 100.0% peakbin 0.00pp · n=17 · 100.0% peak20.16ppbin 0.16pp · n=2 · 11.8% peakbin 0.16pp · n=2 · 11.8% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=24 · positive 4 · negative 7
Q-Q plot · standardised Δp vs N(0,1)
n=24 · skew=-2.34 · kurt=4.56 · near 5 / mid 17 / far 2 · OLS slope=0.78 intercept=-0.00LEPTOKURTIC — FAT TAILSTHIN UPPER TAILMILDLY HEAVY LOWER-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=25PLATYKURTIC · THIN TAILS (G₂=-1.54)
μ MEAN39.42¢95% CI: [38.89¢, 39.95¢]
σ STD DEV1.35ppσ² = 1.818 · CV = 3.42%
med MEDIAN38.78¢Q₁ 38.77¢ · Q₃ 40.88¢
FIVE-NUMBER SUMMARY · BOX PLOT
min 37.00¢Q₁ 38.77¢med 38.78¢Q₃ 40.88¢max 41.04¢μ
SKEWNESS · G₁-0.007approximately symmetric
−3−10+1+3
EXCESS KURTOSIS · G₂-1.543platykurtic · thin tails
−30+2+4+6
μ ↔ medianμ > med · right-tailed|μ−med| / σ = 0.47
σ × 1.349 ↔ IQRconsistent with normalratio = 0.86
range ↔ σconcentrated (range < 4σ)range / σ = 3.00
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+0.100within white-noise band
ρ(2) AUTOCORR-0.227lag-2 not significant
H · HURST EXPONENT0.949strongly persistent
OLS TREND · t-STAT-11.972significant @ α=0.05
HURST EXPONENT [0, 1]
H = 0.949STRONGLY 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+0.100k=2-0.227k=3-0.114k=4+0.079k=5-0.1710+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 1.00very high · strong structure|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCESIGNIFICANT @ 1% (|t|=11.97)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#304
SLUGecuador-304
QUOTE TOKENUSDC
TWO-SIDED PRICING
PRIMARY · YES37.43¢implied prob 37.43% · decimal odds 2.67×
COUNTER · NO62.57¢implied prob 62.57% · decimal odds 1.60×
37.43¢
62.57¢
Σ-SIDES ARBITRAGE TEST
0%50%100% · target110%
Σ = 100.00% · |1 − Σ| = 0.000pp
24H ACTIVITY · LIQUIDITY
24H VOLUME6.37k contracts
MARKET QUALITYPERFECT · ARB-FREE Σ=100.00%|1−Σ| ≤ 0.5pp ⇒ fair · > 2pp ⇒ inefficient
PRICING SKEWFAVOURS NO (63¢)|primary − counter| = 0.251 · entropy 0.954 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 37.4%No 62.6%YES37.4%H = 0.954 / 1.00 bits
Probability scale (Yes)
0%25%50%
fair
75%100%
Implied decimal odds
Yes2.67×(37¢)No1.60×(63¢)
Kelly bet-size (% of bankroll) K* = 0.00%
K* full
0.00%
½K half
0.00%
¼K quarter
0.00%
Entropy H(p̂) = 0.954 bits (95% 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 Ecuador wins the Game.

§10 · Hourly return heatmap

24-hour signed Δp grid · green = up · red = down
HOURLY RETURN HEATMAP · n=24 bars · best 0.24% · worst -1.67% · typical |Δ| 0.20%BEARISH SESSION -3.88%BEST+0.24%07hWORST-1.67%19hTYPICAL |Δ|0.20%mean absoluteCUMULATIVE-3.88%Σ signed ΔSTREAK↘ 1down-runASIA · 00-08 UTCμ -0.11% · Σ -0.90%EUROPE · 08-16 UTCμ -0.09% · Σ -0.72%US · 16-24 UTCμ -0.28% · Σ -2.26%CUMULATIVE Δ PATH · final -3.88%+0.16%-3.88%0.00% · 10h0.00% · 10h·10h0.00% · 11h0.00% · 11h·11h0.00% · 12h0.00% · 12h·12h0.00% · 13h0.00% · 13h·13h0.16% · 14h0.16% · 14h0.16%14h0.00% · 15h0.00% · 15h·15h-0.06% · 16h-0.06% · 16h-0.06%16h0.06% · 17h0.06% · 17h0.06%17h-0.22% · 18h-0.22% · 18h-0.22%18h-1.67% · 19h-1.67% · 19h-1.67%19h▼ WORST-0.37% · 20h-0.37% · 20h-0.37%20h0.00% · 21h0.00% · 21h·21h0.00% · 22h0.00% · 22h·22h0.00% · 23h0.00% · 23h·23h0.00% · 00h0.00% · 00h·00h0.00% · 01h0.00% · 01h·01h0.00% · 02h0.00% · 02h·02h-0.01% · 03h-0.01% · 03h-0.01%03h0.00% · 04h0.00% · 04h·04h-1.13% · 05h-1.13% · 05h-1.13%05h0.00% · 06h0.00% · 06h·06h0.24% · 07h0.24% · 07h0.24%07h★ BEST0.00% · 08h0.00% · 08h0.00%08h-0.89% · 09h-0.89% · 09h-0.89%09hTIME PATTERNEurope-led (+-0.72%)RUNSup max 2 · down max 3BREADTH17% up · 29% down · 54% flat
4 up bars · 7 down · best 0.24% · worst -1.67% · typical |Δ| 0.200%

§11 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=25 barsLOSS WITH MODERATE DD (-3.83%)FINAL-3.83%MAX DD-3.99%RECOVERYONGOING · 18 barsMAX RUN-UP+0.16%UNDERWATER18/25 (72%)STREAK↘ 1EQUITY CURVE · end 0.9617 · peak 1.0016 · range [0.9617, 1.0016]1.00160.9617break-even = 1★ PEAK 1.0016UNDERWATER DRAWDOWN · max -3.99% · moderate0%-3.99%▼ TROUGH -3.99%TOP DRAWDOWN PERIODS · 1 total#1 -3.99%bar 8-25 · 18 bars · ONGOINGDD SEVERITYmoderate (max -3.99%)RECOVERYongoing · 18 barsTIME UNDER WATER72% of session · 18/25 bars
final equity 0.9617 (-3.83%) · max DD -3.99% · time-under-water 18/25 bars

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

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +3 / −15 (16% positive) · μ=-27.26 · σ=29.37UNPROFITABLE STRATEGYLAST -48.86 (-0.74σ vs μ)54.1527.070.00-27.07-54.15μ = -27.2638.2138.2120.2220.2231.4531.45-8.04-8.04-39.33-39.33-54.15-54.15-54.15-54.15-52.11-52.11-54.00-54.00-47.57-47.57-38.21-38.210.000.00-38.21-38.21-38.21-38.21-38.78-38.78-38.78-38.78-28.72-28.72-28.61-28.61-48.86-48.86v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -48.862 · range [-54.15, 38.21] · μ -27.256 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=34.1485 · σ=25.7918 · range [0.0000, 64.2902] · R²=0.035 RISING +765.09%σ EXTREME 75.53%LAST 52.888164.290248.217632.145116.07250.0000μ = 34.1485max 64.2902min 0.0000dataMA(3)OLS R²=0.04μ lineμ ± σ bandmaxmin
latest 52.89% · range [0.00%, 64.29%] · μ 34.15% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +5 / −13 (26% positive) · μ=-0.079 · σ=0.124MEAN-REVERSIONLAST -0.219 (-1.13σ vs μ)0.2400.1200.000-0.120-0.240μ = -0.079-0.233-0.233-0.102-0.102-0.231-0.231-0.179-0.1790.0850.0850.0500.050-0.004-0.0040.0020.0020.0340.0340.1670.167-0.033-0.0330.0000.000-0.033-0.033-0.233-0.233-0.037-0.037-0.240-0.240-0.162-0.162-0.129-0.129-0.219-0.219v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -0.219 · |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
60.6623
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
3.2763
p-VALUE (log scale)
0.6601
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
-0.1074
p-VALUE (log scale)
0.9449
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
-0.0630
p-VALUE (log scale)
0.9498
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedsigns appear random (6 runs)
χ

KPSS (μ stationarity)

REJECT H₀**

H₀: p IS level-stationary

STATISTIC
0.8548
p-VALUE (log scale)
0.0053
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
-0.0209
p-VALUE (log scale)
0.9833
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 0.994 ≈ 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=2.02e-5 · top T=3.43h (24.1%) · top-3 cover 63.2%2 SIGNIFICANT CYCLEScumulative energy ↗ (2 bins above 2× noise)5.8e-54.4e-52.9e-51.5e-50.0e+0μ noise floor2× noise (significance)period 24.0 · power 2.33e-6 · 1.0% energyperiod 24.0 · power 2.33e-6 · 1.0% energyperiod 12.0 · power 3.85e-5 · 15.9% energyperiod 12.0 · power 3.85e-5 · 15.9% energyperiod 8.0 · power 2.44e-5 · 10.1% energyperiod 8.0 · power 2.44e-5 · 10.1% energyperiod 6.0 · power 1.54e-6 · 0.6% energyperiod 6.0 · power 1.54e-6 · 0.6% energyperiod 4.8 · power 5.60e-5 · 23.2% energyperiod 4.8 · power 5.60e-5 · 23.2% energyperiod 4.0 · power 1.69e-6 · 0.7% energyperiod 4.0 · power 1.69e-6 · 0.7% energyperiod 3.4 · power 5.84e-5 · 24.1% energyperiod 3.4 · power 5.84e-5 · 24.1% energyperiod 3.0 · power 4.33e-7 · 0.2% energyperiod 3.0 · power 4.33e-7 · 0.2% energyperiod 2.7 · power 9.14e-6 · 3.8% energyperiod 2.7 · power 9.14e-6 · 3.8% energyperiod 2.4 · power 1.31e-5 · 5.4% energyperiod 2.4 · power 1.31e-5 · 5.4% energyperiod 2.2 · power 8.93e-7 · 0.4% energyperiod 2.2 · power 8.93e-7 · 0.4% energyperiod 2.0 · power 3.54e-5 · 14.6% energyperiod 2.0 · power 3.54e-5 · 14.6% energy50% by T=4.8h#1 dominantT=3.43h#2T=4.80h#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 ≈ 3.43h (freq 0.292) · concentrates 24.1% of total energy · Σ|X̂|²/n = 2.419e-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 0.026pp · expected |Δp| over horizon 0.34ppterminal variance p(1−p) = 0.2342 · n = 5000n = 5000
μ per bar
-0.000pp
average Δp · drift
σ per bar
0.026pp
one-bar volatility · logit-free
Per-day movedaily
0.13pp
σ × √24
Per-horizon move7d
0.34pp
σ × √168
Terminal variancebinary
0.2342
p(1−p) at resolution
Current pricep
37.4¢
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 0.04pp · ES₉₅ 0.05pp · method parametric · drift-correcteddrift -0.000pp/bar · quantised: yes · median step 0.00pp · unique ratio 0.01n = 5000
VaR 95%
0.04pp
1.645·σ (parametric) of Δp
ES 95%
0.05pp
mean of the tail
Max drawdown
3.6pp
peak 38.5¢ → trough 37.1¢
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
37.4%
= price
Decimal oddsEU
2.672
total return per $1
AmericanUS
+167
$100 wins $167
FractionalUK
1.67 / 1
profit per $1 risked
Profit per $100stake
+$167.16
clean dollar framing
-1000-5000+500+1000020406080100you · 37.4%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)
0.954 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.954 bit
Δ +0.000 bit vs market
Surprise · YES−log₂ p
1.42 bit
self-information
Surprise · NO−log₂(1−p)
0.68 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 09:41:55 UTC
Snapshot age
1.0s
Page rendered
2026-06-14 09:41:56 UTC
History points
25 closes · 25 counter-side closes
Storage policy
no persistence — fetched on every request
SHA-256 attestation
1d19cd39919d30da2b07bbf696835b1567c5862f34ade2d70c7477789e4cc54b · 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)
160.06%
σ per bar = 0.000698
Mean return (annualised)
-2378.59%
μ per bar = -0.000005
Sharpe (rf=0)
-14.86
annualised; risk-free assumed zero
Max drawdown
3.61%
peak 0.39 → trough 0.37 over 484 bars

/api/asset/hl-pred-ecuador-304/risk · same metrics, JSON